TSTP Solution File: NUM421+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM421+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 May 21 01:57:23 EDT 2024
% Result : Theorem 3.99s 0.96s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 843
% Syntax : Number of formulae : 2991 ( 25 unt; 0 def)
% Number of atoms : 10960 (2124 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 15082 (7113 ~;7109 |; 21 &)
% ( 828 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 831 ( 829 usr; 829 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2913 (2913 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14655,plain,
$false,
inference(avatar_sat_refutation,[],[f61,f66,f71,f80,f84,f88,f92,f96,f100,f120,f124,f128,f132,f137,f161,f165,f181,f185,f190,f206,f210,f227,f232,f241,f246,f251,f256,f261,f266,f279,f284,f291,f296,f301,f306,f314,f318,f336,f340,f344,f349,f353,f357,f361,f365,f369,f410,f436,f440,f458,f462,f466,f473,f477,f481,f485,f489,f493,f497,f520,f568,f572,f576,f581,f609,f613,f632,f637,f641,f645,f649,f686,f690,f702,f714,f718,f722,f726,f730,f734,f738,f742,f753,f808,f812,f824,f835,f846,f857,f861,f865,f869,f899,f903,f919,f923,f944,f949,f954,f959,f968,f973,f980,f985,f991,f995,f999,f1003,f1007,f1011,f1015,f1019,f1023,f1027,f1031,f1035,f1039,f1043,f1047,f1051,f1111,f1178,f1183,f1187,f1191,f1195,f1199,f1203,f1207,f1211,f1215,f1219,f1223,f1228,f1232,f1236,f1240,f1244,f1248,f1252,f1256,f1260,f1264,f1268,f1273,f1277,f1281,f1285,f1289,f1293,f1297,f1301,f1305,f1309,f1313,f1318,f1322,f1402,f1487,f1573,f1599,f1603,f1607,f1611,f1639,f1650,f1654,f1658,f1662,f1666,f1670,f1674,f1678,f1682,f1687,f1691,f1769,f1782,f1786,f1790,f1794,f1798,f1802,f1806,f1810,f1814,f1819,f1823,f1904,f1918,f1922,f1926,f1930,f1934,f1938,f1942,f1946,f2029,f2033,f2037,f2042,f2046,f2050,f2054,f2058,f2062,f2066,f2070,f2074,f2078,f2082,f2087,f2167,f2218,f2222,f2226,f2230,f2234,f2239,f2243,f2247,f2251,f2255,f2259,f2263,f2267,f2271,f2275,f2279,f2284,f2288,f2292,f2296,f2300,f2304,f2308,f2312,f2316,f2320,f2324,f2329,f2333,f2337,f2341,f2345,f2349,f2353,f2357,f2361,f2365,f2370,f2493,f2636,f2640,f2644,f2649,f2653,f2657,f2661,f2665,f2669,f2726,f2730,f2734,f2738,f2769,f2779,f2783,f2787,f2791,f2795,f2799,f2833,f2859,f2863,f2867,f2898,f2903,f2907,f2911,f2915,f2919,f2923,f2927,f2931,f2935,f2939,f2943,f2948,f2952,f2956,f2960,f2964,f2968,f2972,f2976,f2980,f2984,f2988,f2993,f2997,f3001,f3005,f3009,f3013,f3017,f3021,f3025,f3042,f3107,f3174,f3238,f3249,f3254,f3258,f3262,f3266,f3270,f3274,f3278,f3282,f3342,f3346,f3350,f3355,f3359,f3363,f3367,f3371,f3430,f3434,f3438,f3442,f3446,f3450,f3454,f3459,f3463,f3467,f3471,f3475,f3479,f3483,f3487,f3491,f3495,f3499,f3504,f3508,f3569,f3647,f3652,f3656,f3660,f3664,f3668,f3672,f3716,f3720,f3724,f3728,f3732,f3736,f3740,f3744,f3748,f3753,f3757,f3761,f3765,f3769,f3773,f3777,f3781,f3785,f3789,f3794,f3798,f3941,f3945,f3964,f3968,f3972,f3977,f3981,f3985,f3989,f3993,f3997,f4001,f4005,f4009,f4013,f4088,f4116,f4120,f4124,f4128,f4152,f4163,f4167,f4171,f4175,f4179,f4183,f4187,f4191,f4202,f4248,f4252,f4256,f4261,f4265,f4295,f4299,f4303,f4307,f4318,f4340,f4344,f4348,f4352,f4382,f4405,f4410,f4415,f4420,f4425,f4430,f4435,f4440,f4445,f4450,f4455,f4460,f4466,f4475,f4494,f4499,f4504,f4509,f4514,f4519,f4524,f4529,f4534,f4539,f4554,f4559,f4564,f4569,f4574,f4580,f4594,f4599,f4604,f4610,f4615,f4620,f4625,f4631,f4638,f4644,f4651,f4656,f4662,f4667,f4674,f4679,f4685,f4691,f4696,f4702,f4703,f4708,f4714,f4720,f4725,f4730,f4735,f4740,f4746,f5260,f5267,f5776,f5781,f5786,f5791,f5797,f5818,f5839,f5843,f5847,f5852,f5856,f5860,f5864,f5868,f5872,f5876,f5880,f5884,f5888,f5892,f5897,f5901,f5905,f5909,f5913,f5917,f5921,f5925,f5929,f5933,f5937,f5942,f5946,f5950,f5954,f5958,f5963,f5967,f5971,f5975,f5979,f5984,f5988,f5992,f5996,f6000,f6004,f6008,f6012,f6016,f6020,f6025,f6029,f6033,f6037,f6041,f6045,f6049,f6053,f6057,f6061,f6070,f6074,f6078,f6082,f6086,f6090,f6094,f6098,f6102,f6106,f6110,f6115,f6119,f6315,f7875,f8141,f8145,f8149,f8150,f8154,f8158,f8162,f8166,f8170,f8174,f8178,f8182,f8186,f8190,f8804,f8808,f8812,f8816,f8820,f8824,f8828,f8832,f8836,f8840,f9454,f9458,f9462,f9466,f9470,f9474,f9478,f9482,f9486,f9490,f9495,f9499,f9503,f9507,f9511,f9515,f9519,f9523,f9527,f9531,f9535,f9540,f9544,f9548,f9552,f9556,f9560,f9564,f9568,f9572,f9576,f9580,f9585,f9589,f9593,f9597,f9601,f9605,f9609,f9613,f9617,f9621,f9625,f9630,f9634,f9638,f9642,f9646,f9650,f9654,f9658,f9662,f9666,f9670,f9675,f9679,f9683,f9687,f9692,f9696,f9701,f9705,f9755,f9941,f10117,f10305,f10527,f10771,f11028,f11280,f11284,f11288,f11292,f11296,f11301,f11305,f11309,f11313,f11317,f11321,f11325,f11329,f11333,f11368,f11537,f11576,f11580,f11584,f11588,f11592,f11596,f11600,f11604,f11608,f11613,f11617,f11621,f11625,f11629,f11633,f11637,f11641,f11645,f11649,f11653,f11658,f11662,f11666,f11670,f11777,f11983,f12128,f12132,f12136,f12141,f12145,f12149,f12153,f12157,f12161,f12165,f12169,f12173,f12177,f12181,f12186,f12190,f12194,f12198,f12202,f12206,f12210,f12214,f12218,f12222,f12227,f12231,f12467,f12721,f12858,f12862,f12867,f12893,f12898,f12902,f12906,f12910,f12914,f12918,f12922,f12926,f12930,f12934,f12938,f12943,f13295,f13299,f13303,f13391,f13395,f13400,f13404,f13408,f13518,f13522,f13526,f13530,f13535,f13539,f13543,f13547,f13551,f13555,f13559,f13563,f13567,f13571,f13575,f13580,f13584,f13588,f13592,f13596,f13600,f13604,f13608,f13612,f13616,f13620,f13625,f13629,f13633,f13637,f13641,f13645,f13649,f13653,f13657,f13661,f13666,f13670,f13674,f13678,f13682,f13686,f13690,f13694,f13698,f13702,f13706,f13711,f13715,f13719,f13723,f13727,f13731,f13735,f13739,f13743,f13747,f13752,f13756,f13760,f13764,f13768,f13772,f13776,f13780,f13784,f13788,f13793,f13797,f13801,f13805,f13809,f13813,f13817,f13821,f13825,f13829,f13834,f14189,f14376,f14650,f14654]) ).
fof(f14654,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f14651,f517,f77,f73]) ).
fof(f73,plain,
( spl0_4
<=> sz00 = sdtasdt0(xa,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f77,plain,
( spl0_5
<=> sz00 = sdtasdt0(sz00,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f517,plain,
( spl0_61
<=> sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f14651,plain,
( sz00 = sdtasdt0(xa,sz00)
| ~ spl0_5
| ~ spl0_61 ),
inference(superposition,[],[f78,f519]) ).
fof(f519,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f78,plain,
( sz00 = sdtasdt0(sz00,xa)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f14650,plain,
( spl0_5
| ~ spl0_28
| ~ spl0_116
| ~ spl0_409
| ~ spl0_413
| ~ spl0_456
| ~ spl0_547
| ~ spl0_724
| ~ spl0_729
| ~ spl0_798 ),
inference(avatar_split_clause,[],[f14599,f13717,f12895,f12718,f6063,f4591,f4258,f4199,f1029,f253,f77]) ).
fof(f253,plain,
( spl0_28
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1029,plain,
( spl0_116
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xa)) = sdtpldt0(smndt0(xa),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f4199,plain,
( spl0_409
<=> sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f4258,plain,
( spl0_413
<=> sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f4591,plain,
( spl0_456
<=> aInteger0(sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f6063,plain,
( spl0_547
<=> aInteger0(sdtpldt0(sz10,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f12718,plain,
( spl0_724
<=> sz10 = sdtpldt0(smndt0(xa),sdtpldt0(sz10,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f12895,plain,
( spl0_729
<=> xa = sdtpldt0(smndt0(xa),sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f13717,plain,
( spl0_798
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,smndt0(xa))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).
fof(f14599,plain,
( sz00 = sdtasdt0(sz00,xa)
| ~ spl0_28
| ~ spl0_116
| ~ spl0_409
| ~ spl0_413
| ~ spl0_456
| ~ spl0_547
| ~ spl0_724
| ~ spl0_729
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14598,f12897]) ).
fof(f12897,plain,
( xa = sdtpldt0(smndt0(xa),sdtpldt0(xa,xa))
| ~ spl0_729 ),
inference(avatar_component_clause,[],[f12895]) ).
fof(f14598,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(smndt0(xa),sdtpldt0(xa,xa)))
| ~ spl0_28
| ~ spl0_116
| ~ spl0_409
| ~ spl0_413
| ~ spl0_456
| ~ spl0_547
| ~ spl0_724
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14597,f5347]) ).
fof(f5347,plain,
( sdtpldt0(sdtpldt0(xa,xa),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtpldt0(xa,xa))
| ~ spl0_116
| ~ spl0_456 ),
inference(resolution,[],[f4593,f1030]) ).
fof(f1030,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xa)) = sdtpldt0(smndt0(xa),X0) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f4593,plain,
( aInteger0(sdtpldt0(xa,xa))
| ~ spl0_456 ),
inference(avatar_component_clause,[],[f4591]) ).
fof(f14597,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sdtpldt0(xa,xa),smndt0(xa)))
| ~ spl0_28
| ~ spl0_116
| ~ spl0_409
| ~ spl0_413
| ~ spl0_456
| ~ spl0_547
| ~ spl0_724
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14596,f14595]) ).
fof(f14595,plain,
( sz00 = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(sz00,smndt0(xa)))
| ~ spl0_28
| ~ spl0_116
| ~ spl0_409
| ~ spl0_547
| ~ spl0_724
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14594,f255]) ).
fof(f255,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f14594,plain,
( sdtasdt0(sz00,sz10) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(sz00,smndt0(xa)))
| ~ spl0_116
| ~ spl0_409
| ~ spl0_547
| ~ spl0_724
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14593,f12720]) ).
fof(f12720,plain,
( sz10 = sdtpldt0(smndt0(xa),sdtpldt0(sz10,xa))
| ~ spl0_724 ),
inference(avatar_component_clause,[],[f12718]) ).
fof(f14593,plain,
( sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(sz00,smndt0(xa))) = sdtasdt0(sz00,sdtpldt0(smndt0(xa),sdtpldt0(sz10,xa)))
| ~ spl0_116
| ~ spl0_409
| ~ spl0_547
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14592,f6527]) ).
fof(f6527,plain,
( sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtpldt0(sz10,xa))
| ~ spl0_116
| ~ spl0_547 ),
inference(resolution,[],[f6064,f1030]) ).
fof(f6064,plain,
( aInteger0(sdtpldt0(sz10,xa))
| ~ spl0_547 ),
inference(avatar_component_clause,[],[f6063]) ).
fof(f14592,plain,
( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa))) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(sz00,smndt0(xa)))
| ~ spl0_409
| ~ spl0_547
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14577,f4201]) ).
fof(f4201,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xa))
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f4199]) ).
fof(f14577,plain,
( sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa))) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(sz10,xa)),sdtasdt0(sz00,smndt0(xa)))
| ~ spl0_547
| ~ spl0_798 ),
inference(resolution,[],[f13718,f6064]) ).
fof(f13718,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,smndt0(xa))) )
| ~ spl0_798 ),
inference(avatar_component_clause,[],[f13717]) ).
fof(f14596,plain,
( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xa,xa),smndt0(xa))) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(sz00,smndt0(xa)))
| ~ spl0_413
| ~ spl0_456
| ~ spl0_798 ),
inference(forward_demodulation,[],[f14578,f4260]) ).
fof(f4260,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtpldt0(xa,xa))
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f4258]) ).
fof(f14578,plain,
( sdtasdt0(sz00,sdtpldt0(sdtpldt0(xa,xa),smndt0(xa))) = sdtpldt0(sdtasdt0(sz00,sdtpldt0(xa,xa)),sdtasdt0(sz00,smndt0(xa)))
| ~ spl0_456
| ~ spl0_798 ),
inference(resolution,[],[f13718,f4593]) ).
fof(f14376,plain,
( spl0_828
| ~ spl0_2
| ~ spl0_26
| ~ spl0_34
| ~ spl0_734 ),
inference(avatar_split_clause,[],[f13134,f12916,f293,f243,f63,f14373]) ).
fof(f14373,plain,
( spl0_828
<=> sz10 = sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).
fof(f63,plain,
( spl0_2
<=> aInteger0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f243,plain,
( spl0_26
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f293,plain,
( spl0_34
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f12916,plain,
( spl0_734
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f13134,plain,
( sz10 = sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10))
| ~ spl0_2
| ~ spl0_26
| ~ spl0_34
| ~ spl0_734 ),
inference(forward_demodulation,[],[f13133,f245]) ).
fof(f245,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f13133,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10))
| ~ spl0_2
| ~ spl0_34
| ~ spl0_734 ),
inference(forward_demodulation,[],[f13121,f295]) ).
fof(f295,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f13121,plain,
( sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10)) = sdtpldt0(sz10,sdtpldt0(sz10,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_734 ),
inference(resolution,[],[f12917,f65]) ).
fof(f65,plain,
( aInteger0(sz10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f12917,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sz10)) )
| ~ spl0_734 ),
inference(avatar_component_clause,[],[f12916]) ).
fof(f14189,plain,
( spl0_827
| ~ spl0_2
| ~ spl0_27
| ~ spl0_36
| ~ spl0_725 ),
inference(avatar_split_clause,[],[f12959,f12856,f303,f248,f63,f14186]) ).
fof(f14186,plain,
( spl0_827
<=> sz10 = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).
fof(f248,plain,
( spl0_27
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f303,plain,
( spl0_36
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f12856,plain,
( spl0_725
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f12959,plain,
( sz10 = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_27
| ~ spl0_36
| ~ spl0_725 ),
inference(forward_demodulation,[],[f12958,f250]) ).
fof(f250,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f12958,plain,
( sdtpldt0(sz00,sz10) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_36
| ~ spl0_725 ),
inference(forward_demodulation,[],[f12945,f305]) ).
fof(f305,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f12945,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),sz10)
| ~ spl0_2
| ~ spl0_725 ),
inference(resolution,[],[f12857,f65]) ).
fof(f12857,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),sz10) )
| ~ spl0_725 ),
inference(avatar_component_clause,[],[f12856]) ).
fof(f13834,plain,
( spl0_826
| ~ spl0_1
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f3233,f3023,f58,f13832]) ).
fof(f13832,plain,
( spl0_826
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,smndt0(sz10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).
fof(f58,plain,
( spl0_1
<=> aInteger0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f3023,plain,
( spl0_309
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sz10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f3233,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,smndt0(sz10))) )
| ~ spl0_1
| ~ spl0_309 ),
inference(resolution,[],[f3024,f60]) ).
fof(f60,plain,
( aInteger0(xa)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f3024,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sz10))) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f3023]) ).
fof(f13829,plain,
( spl0_825
| ~ spl0_1
| ~ spl0_307
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f3217,f3171,f3015,f58,f13827]) ).
fof(f13827,plain,
( spl0_825
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(xa)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,smndt0(xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).
fof(f3015,plain,
( spl0_307
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(smndt0(X1),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f3171,plain,
( spl0_312
<=> sdtasdt0(sz00,smndt0(xa)) = sdtasdt0(smndt0(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f3217,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(xa)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,smndt0(xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_307
| ~ spl0_312 ),
inference(forward_demodulation,[],[f3214,f3173]) ).
fof(f3173,plain,
( sdtasdt0(sz00,smndt0(xa)) = sdtasdt0(smndt0(xa),sz00)
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f3171]) ).
fof(f3214,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(xa)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(smndt0(xa),sz00)) )
| ~ spl0_1
| ~ spl0_307 ),
inference(resolution,[],[f3016,f60]) ).
fof(f3016,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(smndt0(X1),sz00)) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f13825,plain,
( spl0_824
| ~ spl0_1
| ~ spl0_306
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f3208,f3104,f3011,f58,f13823]) ).
fof(f13823,plain,
( spl0_824
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,sz10)) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).
fof(f3011,plain,
( spl0_306
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f3104,plain,
( spl0_311
<=> sdtpldt0(sz10,smndt0(xa)) = sdtpldt0(smndt0(xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f3208,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,sz10)) = sdtasdt0(X0,sdtpldt0(sz10,smndt0(xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_306
| ~ spl0_311 ),
inference(forward_demodulation,[],[f3204,f3106]) ).
fof(f3106,plain,
( sdtpldt0(sz10,smndt0(xa)) = sdtpldt0(smndt0(xa),sz10)
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f3204,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(xa),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,sz10)) )
| ~ spl0_1
| ~ spl0_306 ),
inference(resolution,[],[f3012,f60]) ).
fof(f3012,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz10)) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f3011]) ).
fof(f13821,plain,
( spl0_823
| ~ spl0_1
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f3187,f3003,f58,f13819]) ).
fof(f13819,plain,
( spl0_823
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(xa))) = sdtasdt0(sdtasdt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).
fof(f3003,plain,
( spl0_304
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f3187,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(xa))) = sdtasdt0(sdtasdt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_304 ),
inference(resolution,[],[f3004,f60]) ).
fof(f3004,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f13817,plain,
( spl0_822
| ~ spl0_1
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f3180,f2999,f58,f13815]) ).
fof(f13815,plain,
( spl0_822
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(xa))) = sdtasdt0(sdtpldt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).
fof(f2999,plain,
( spl0_303
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f3180,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(xa))) = sdtasdt0(sdtpldt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_303 ),
inference(resolution,[],[f3000,f60]) ).
fof(f3000,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f13813,plain,
( spl0_821
| ~ spl0_1
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f3168,f2995,f58,f13811]) ).
fof(f13811,plain,
( spl0_821
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,smndt0(xa))) = sdtpldt0(sdtasdt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).
fof(f2995,plain,
( spl0_302
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f3168,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,smndt0(xa))) = sdtpldt0(sdtasdt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_302 ),
inference(resolution,[],[f2996,f60]) ).
fof(f2996,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f2995]) ).
fof(f13809,plain,
( spl0_820
| ~ spl0_1
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f3161,f2986,f58,f13807]) ).
fof(f13807,plain,
( spl0_820
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(xa))) = sdtpldt0(sdtpldt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).
fof(f2986,plain,
( spl0_300
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f3161,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(xa))) = sdtpldt0(sdtpldt0(X1,smndt0(xa)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_300 ),
inference(resolution,[],[f2987,f60]) ).
fof(f2987,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f2986]) ).
fof(f13805,plain,
( spl0_819
| ~ spl0_1
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f3155,f2982,f58,f13803]) ).
fof(f13803,plain,
( spl0_819
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,xa))) = sdtasdt0(smndt0(sdtasdt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).
fof(f2982,plain,
( spl0_299
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f3155,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,xa))) = sdtasdt0(smndt0(sdtasdt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_299 ),
inference(resolution,[],[f2983,f60]) ).
fof(f2983,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f2982]) ).
fof(f13801,plain,
( spl0_818
| ~ spl0_1
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f3149,f2978,f58,f13799]) ).
fof(f13799,plain,
( spl0_818
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,xa))) = sdtasdt0(smndt0(sdtpldt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).
fof(f2978,plain,
( spl0_298
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f3149,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,xa))) = sdtasdt0(smndt0(sdtpldt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_298 ),
inference(resolution,[],[f2979,f60]) ).
fof(f2979,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f2978]) ).
fof(f13797,plain,
( spl0_817
| ~ spl0_1
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f3143,f2974,f58,f13795]) ).
fof(f13795,plain,
( spl0_817
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(sdtasdt0(X1,xa))) = sdtpldt0(smndt0(sdtasdt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).
fof(f2974,plain,
( spl0_297
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f3143,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(sdtasdt0(X1,xa))) = sdtpldt0(smndt0(sdtasdt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_297 ),
inference(resolution,[],[f2975,f60]) ).
fof(f2975,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f2974]) ).
fof(f13793,plain,
( spl0_816
| ~ spl0_1
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f3137,f2970,f58,f13791]) ).
fof(f13791,plain,
( spl0_816
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(sdtpldt0(X1,xa))) = sdtpldt0(smndt0(sdtpldt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).
fof(f2970,plain,
( spl0_296
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f3137,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(sdtpldt0(X1,xa))) = sdtpldt0(smndt0(sdtpldt0(X1,xa)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_296 ),
inference(resolution,[],[f2971,f60]) ).
fof(f2971,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f2970]) ).
fof(f13788,plain,
( spl0_815
| ~ spl0_1
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f3131,f2966,f58,f13786]) ).
fof(f13786,plain,
( spl0_815
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sdtasdt0(sdtasdt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).
fof(f2966,plain,
( spl0_295
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f3131,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sdtasdt0(sdtasdt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_295 ),
inference(resolution,[],[f2967,f60]) ).
fof(f2967,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f13784,plain,
( spl0_814
| ~ spl0_1
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f3125,f2962,f58,f13782]) ).
fof(f13782,plain,
( spl0_814
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sdtasdt0(sdtpldt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).
fof(f2962,plain,
( spl0_294
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f3125,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sdtasdt0(sdtpldt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_294 ),
inference(resolution,[],[f2963,f60]) ).
fof(f2963,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f13780,plain,
( spl0_813
| ~ spl0_1
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f3119,f2958,f58,f13778]) ).
fof(f13778,plain,
( spl0_813
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).
fof(f2958,plain,
( spl0_293
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f3119,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_293 ),
inference(resolution,[],[f2959,f60]) ).
fof(f2959,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f2958]) ).
fof(f13776,plain,
( spl0_812
| ~ spl0_1
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f3113,f2954,f58,f13774]) ).
fof(f13774,plain,
( spl0_812
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).
fof(f2954,plain,
( spl0_292
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f3113,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_292 ),
inference(resolution,[],[f2955,f60]) ).
fof(f2955,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f2954]) ).
fof(f13772,plain,
( spl0_811
| ~ spl0_1
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f3102,f2950,f58,f13770]) ).
fof(f13770,plain,
( spl0_811
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sdtasdt0(sdtasdt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).
fof(f2950,plain,
( spl0_291
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f3102,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sdtasdt0(sdtasdt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_291 ),
inference(resolution,[],[f2951,f60]) ).
fof(f2951,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f13768,plain,
( spl0_810
| ~ spl0_1
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f3096,f2941,f58,f13766]) ).
fof(f13766,plain,
( spl0_810
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sdtasdt0(sdtpldt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).
fof(f2941,plain,
( spl0_289
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f3096,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sdtasdt0(sdtpldt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_289 ),
inference(resolution,[],[f2942,f60]) ).
fof(f2942,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f2941]) ).
fof(f13764,plain,
( spl0_809
| ~ spl0_1
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f3090,f2937,f58,f13762]) ).
fof(f13762,plain,
( spl0_809
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).
fof(f2937,plain,
( spl0_288
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f3090,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_288 ),
inference(resolution,[],[f2938,f60]) ).
fof(f2938,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f2937]) ).
fof(f13760,plain,
( spl0_808
| ~ spl0_1
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f3084,f2933,f58,f13758]) ).
fof(f13758,plain,
( spl0_808
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).
fof(f2933,plain,
( spl0_287
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f3084,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_287 ),
inference(resolution,[],[f2934,f60]) ).
fof(f2934,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f13756,plain,
( spl0_807
| ~ spl0_1
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f3078,f2929,f58,f13754]) ).
fof(f13754,plain,
( spl0_807
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sdtpldt0(sdtasdt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).
fof(f2929,plain,
( spl0_286
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f3078,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sdtpldt0(sdtasdt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_286 ),
inference(resolution,[],[f2930,f60]) ).
fof(f2930,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f2929]) ).
fof(f13752,plain,
( spl0_806
| ~ spl0_1
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f3072,f2925,f58,f13750]) ).
fof(f13750,plain,
( spl0_806
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sdtpldt0(sdtpldt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).
fof(f2925,plain,
( spl0_285
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f3072,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sdtpldt0(sdtpldt0(X0,xa),X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_285 ),
inference(resolution,[],[f2926,f60]) ).
fof(f2926,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f2925]) ).
fof(f13747,plain,
( spl0_805
| ~ spl0_1
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f3066,f2921,f58,f13745]) ).
fof(f13745,plain,
( spl0_805
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).
fof(f2921,plain,
( spl0_284
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f3066,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_284 ),
inference(resolution,[],[f2922,f60]) ).
fof(f2922,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f13743,plain,
( spl0_804
| ~ spl0_1
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f3060,f2917,f58,f13741]) ).
fof(f13741,plain,
( spl0_804
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).
fof(f2917,plain,
( spl0_283
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f3060,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_283 ),
inference(resolution,[],[f2918,f60]) ).
fof(f2918,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f13739,plain,
( spl0_803
| ~ spl0_1
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f3054,f2913,f58,f13737]) ).
fof(f13737,plain,
( spl0_803
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sdtpldt0(sdtasdt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).
fof(f2913,plain,
( spl0_282
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f3054,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sdtpldt0(sdtasdt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_282 ),
inference(resolution,[],[f2914,f60]) ).
fof(f2914,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f13735,plain,
( spl0_802
| ~ spl0_1
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f3048,f2909,f58,f13733]) ).
fof(f13733,plain,
( spl0_802
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sdtpldt0(sdtpldt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).
fof(f2909,plain,
( spl0_281
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f3048,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sdtpldt0(sdtpldt0(X0,xa),X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_281 ),
inference(resolution,[],[f2910,f60]) ).
fof(f2910,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f13731,plain,
( spl0_801
| ~ spl0_1
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f3037,f2905,f58,f13729]) ).
fof(f13729,plain,
( spl0_801
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).
fof(f2905,plain,
( spl0_280
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f3037,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,xa),X1) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_280 ),
inference(resolution,[],[f2906,f60]) ).
fof(f2906,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f13727,plain,
( spl0_800
| ~ spl0_1
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f3031,f2896,f58,f13725]) ).
fof(f13725,plain,
( spl0_800
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).
fof(f2896,plain,
( spl0_278
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f3031,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,xa),X1) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X0,xa),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_278 ),
inference(resolution,[],[f2897,f60]) ).
fof(f2897,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f2896]) ).
fof(f13723,plain,
( spl0_799
| ~ spl0_1
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f2893,f2865,f58,f13721]) ).
fof(f13721,plain,
( spl0_799
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,smndt0(xa))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).
fof(f2865,plain,
( spl0_277
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xa))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f2893,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,smndt0(xa))) )
| ~ spl0_1
| ~ spl0_277 ),
inference(resolution,[],[f2866,f60]) ).
fof(f2866,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xa))) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f2865]) ).
fof(f13719,plain,
( spl0_798
| ~ spl0_3
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f2888,f2865,f68,f13717]) ).
fof(f68,plain,
( spl0_3
<=> aInteger0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f2888,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,smndt0(xa))) )
| ~ spl0_3
| ~ spl0_277 ),
inference(resolution,[],[f2866,f70]) ).
fof(f70,plain,
( aInteger0(sz00)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f13715,plain,
( spl0_797
| ~ spl0_1
| ~ spl0_135
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f2887,f2861,f1225,f58,f13713]) ).
fof(f13713,plain,
( spl0_797
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(xa)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,smndt0(xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).
fof(f1225,plain,
( spl0_135
<=> sdtasdt0(smndt0(xa),xa) = sdtasdt0(xa,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f2861,plain,
( spl0_276
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(smndt0(X1),xa))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f2887,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(xa)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,smndt0(xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_135
| ~ spl0_276 ),
inference(forward_demodulation,[],[f2883,f1227]) ).
fof(f1227,plain,
( sdtasdt0(smndt0(xa),xa) = sdtasdt0(xa,smndt0(xa))
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f2883,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(xa)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(smndt0(xa),xa)) )
| ~ spl0_1
| ~ spl0_276 ),
inference(resolution,[],[f2862,f60]) ).
fof(f2862,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(smndt0(X1),xa)) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f13711,plain,
( spl0_796
| ~ spl0_2
| ~ spl0_124
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f2886,f2861,f1180,f63,f13709]) ).
fof(f13709,plain,
( spl0_796
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(sz10)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).
fof(f1180,plain,
( spl0_124
<=> sdtasdt0(smndt0(sz10),xa) = sdtasdt0(xa,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f2886,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(sz10)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_124
| ~ spl0_276 ),
inference(forward_demodulation,[],[f2879,f1182]) ).
fof(f1182,plain,
( sdtasdt0(smndt0(sz10),xa) = sdtasdt0(xa,smndt0(sz10))
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f2879,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(sz10)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(smndt0(sz10),xa)) )
| ~ spl0_2
| ~ spl0_276 ),
inference(resolution,[],[f2862,f65]) ).
fof(f13706,plain,
( spl0_795
| ~ spl0_2
| ~ spl0_122
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f2876,f2857,f1108,f63,f13704]) ).
fof(f13704,plain,
( spl0_795
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,xa)) = sdtasdt0(X0,sdtpldt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).
fof(f1108,plain,
( spl0_122
<=> sdtpldt0(smndt0(sz10),xa) = sdtpldt0(xa,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2857,plain,
( spl0_275
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xa))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f2876,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,xa)) = sdtasdt0(X0,sdtpldt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_122
| ~ spl0_275 ),
inference(forward_demodulation,[],[f2869,f1110]) ).
fof(f1110,plain,
( sdtpldt0(smndt0(sz10),xa) = sdtpldt0(xa,smndt0(sz10))
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f2869,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(sz10),xa)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,xa)) )
| ~ spl0_2
| ~ spl0_275 ),
inference(resolution,[],[f2858,f65]) ).
fof(f2858,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xa)) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f2857]) ).
fof(f13702,plain,
( spl0_794
| ~ spl0_6
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2207,f2085,f82,f13700]) ).
fof(f13700,plain,
( spl0_794
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),xa),sz00) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).
fof(f82,plain,
( spl0_6
<=> ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2085,plain,
( spl0_213
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f2207,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),xa),sz00) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_213 ),
inference(resolution,[],[f2086,f83]) ).
fof(f83,plain,
( ! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f2086,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,xa),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xa,sz00)) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f2085]) ).
fof(f13698,plain,
( spl0_793
| ~ spl0_6
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f2185,f2076,f82,f13696]) ).
fof(f13696,plain,
( spl0_793
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(smndt0(X1),xa)) = sdtasdt0(sdtasdt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).
fof(f2076,plain,
( spl0_211
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xa)) = sdtasdt0(sdtasdt0(X1,xa),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f2185,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(smndt0(X1),xa)) = sdtasdt0(sdtasdt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_211 ),
inference(resolution,[],[f2077,f83]) ).
fof(f2077,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,xa)) = sdtasdt0(sdtasdt0(X1,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f13694,plain,
( spl0_792
| ~ spl0_6
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2178,f2072,f82,f13692]) ).
fof(f13692,plain,
( spl0_792
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtasdt0(sdtpldt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).
fof(f2072,plain,
( spl0_210
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtasdt0(sdtpldt0(X1,xa),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2178,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtasdt0(sdtpldt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_210 ),
inference(resolution,[],[f2073,f83]) ).
fof(f2073,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtasdt0(sdtpldt0(X1,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f13690,plain,
( spl0_791
| ~ spl0_6
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f2170,f2068,f82,f13688]) ).
fof(f13688,plain,
( spl0_791
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(smndt0(X1),xa)) = sdtpldt0(sdtasdt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).
fof(f2068,plain,
( spl0_209
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xa)) = sdtpldt0(sdtasdt0(X1,xa),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f2170,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(smndt0(X1),xa)) = sdtpldt0(sdtasdt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_209 ),
inference(resolution,[],[f2069,f83]) ).
fof(f2069,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtasdt0(X1,xa)) = sdtpldt0(sdtasdt0(X1,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f13686,plain,
( spl0_790
| ~ spl0_6
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2158,f2064,f82,f13684]) ).
fof(f13684,plain,
( spl0_790
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtpldt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).
fof(f2064,plain,
( spl0_208
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X1,xa),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f2158,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtpldt0(smndt0(X1),xa),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_208 ),
inference(resolution,[],[f2065,f83]) ).
fof(f2065,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X1,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f2064]) ).
fof(f13682,plain,
( spl0_789
| ~ spl0_6
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f2145,f2060,f82,f13680]) ).
fof(f13680,plain,
( spl0_789
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz00),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).
fof(f2060,plain,
( spl0_207
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f2145,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz00),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_207 ),
inference(resolution,[],[f2061,f83]) ).
fof(f2061,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,sz00)) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f13678,plain,
( spl0_788
| ~ spl0_6
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2135,f2056,f82,f13676]) ).
fof(f13676,plain,
( spl0_788
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),xa),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),sdtasdt0(xa,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).
fof(f2056,plain,
( spl0_206
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f2135,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),xa),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),sdtasdt0(xa,xa))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_206 ),
inference(resolution,[],[f2057,f83]) ).
fof(f2057,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,xa),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,xa)) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2056]) ).
fof(f13674,plain,
( spl0_787
| ~ spl0_6
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f2108,f2044,f82,f13672]) ).
fof(f13672,plain,
( spl0_787
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xa) = sdtasdt0(xa,sdtasdt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).
fof(f2044,plain,
( spl0_203
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(xa,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f2108,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xa) = sdtasdt0(xa,sdtasdt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_203 ),
inference(resolution,[],[f2045,f83]) ).
fof(f2045,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(xa,sdtasdt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f2044]) ).
fof(f13670,plain,
( spl0_786
| ~ spl0_6
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2102,f2035,f82,f13668]) ).
fof(f13668,plain,
( spl0_786
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xa) = sdtasdt0(xa,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).
fof(f2035,plain,
( spl0_201
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(xa,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f2102,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xa) = sdtasdt0(xa,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_201 ),
inference(resolution,[],[f2036,f83]) ).
fof(f2036,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(xa,sdtpldt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f13666,plain,
( spl0_785
| ~ spl0_2
| ~ spl0_15
| ~ spl0_34
| ~ spl0_42
| ~ spl0_717 ),
inference(avatar_split_clause,[],[f12737,f12208,f346,f293,f134,f63,f13663]) ).
fof(f13663,plain,
( spl0_785
<=> xa = sdtpldt0(sdtpldt0(sz10,xa),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).
fof(f134,plain,
( spl0_15
<=> xa = sdtpldt0(xa,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f346,plain,
( spl0_42
<=> sdtpldt0(sz10,xa) = sdtpldt0(xa,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f12208,plain,
( spl0_717
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(xa,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f12737,plain,
( xa = sdtpldt0(sdtpldt0(sz10,xa),smndt0(sz10))
| ~ spl0_2
| ~ spl0_15
| ~ spl0_34
| ~ spl0_42
| ~ spl0_717 ),
inference(forward_demodulation,[],[f12736,f136]) ).
fof(f136,plain,
( xa = sdtpldt0(xa,sz00)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f12736,plain,
( sdtpldt0(xa,sz00) = sdtpldt0(sdtpldt0(sz10,xa),smndt0(sz10))
| ~ spl0_2
| ~ spl0_34
| ~ spl0_42
| ~ spl0_717 ),
inference(forward_demodulation,[],[f12735,f295]) ).
fof(f12735,plain,
( sdtpldt0(sdtpldt0(sz10,xa),smndt0(sz10)) = sdtpldt0(xa,sdtpldt0(sz10,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_717 ),
inference(forward_demodulation,[],[f12723,f348]) ).
fof(f348,plain,
( sdtpldt0(sz10,xa) = sdtpldt0(xa,sz10)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f12723,plain,
( sdtpldt0(xa,sdtpldt0(sz10,smndt0(sz10))) = sdtpldt0(sdtpldt0(xa,sz10),smndt0(sz10))
| ~ spl0_2
| ~ spl0_717 ),
inference(resolution,[],[f12209,f65]) ).
fof(f12209,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(xa,X0),smndt0(sz10)) )
| ~ spl0_717 ),
inference(avatar_component_clause,[],[f12208]) ).
fof(f13661,plain,
( spl0_784
| ~ spl0_6
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2096,f2031,f82,f13659]) ).
fof(f13659,plain,
( spl0_784
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,smndt0(X1)),xa) = sdtpldt0(xa,sdtasdt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).
fof(f2031,plain,
( spl0_200
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(xa,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2096,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,smndt0(X1)),xa) = sdtpldt0(xa,sdtasdt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_200 ),
inference(resolution,[],[f2032,f83]) ).
fof(f2032,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(xa,sdtasdt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f13657,plain,
( spl0_783
| ~ spl0_6
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2090,f2027,f82,f13655]) ).
fof(f13655,plain,
( spl0_783
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xa) = sdtpldt0(xa,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).
fof(f2027,plain,
( spl0_199
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(xa,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f2090,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xa) = sdtpldt0(xa,sdtpldt0(X0,smndt0(X1)))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_199 ),
inference(resolution,[],[f2028,f83]) ).
fof(f2028,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(xa,sdtpldt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f13653,plain,
( spl0_782
| ~ spl0_14
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1171,f1049,f130,f13651]) ).
fof(f13651,plain,
( spl0_782
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),xa),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).
fof(f130,plain,
( spl0_14
<=> ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1049,plain,
( spl0_121
<=> ! [X0] :
( sdtasdt0(X0,xa) = sdtasdt0(sdtasdt0(X0,xa),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1171,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),xa),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_121 ),
inference(resolution,[],[f1050,f131]) ).
fof(f131,plain,
( ! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f1050,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtasdt0(sdtasdt0(X0,xa),sz10) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f13649,plain,
( spl0_781
| ~ spl0_13
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1170,f1049,f126,f13647]) ).
fof(f13647,plain,
( spl0_781
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),xa),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).
fof(f126,plain,
( spl0_13
<=> ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1170,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),xa),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_121 ),
inference(resolution,[],[f1050,f127]) ).
fof(f127,plain,
( ! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f13645,plain,
( spl0_780
| ~ spl0_14
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1164,f1045,f130,f13643]) ).
fof(f13643,plain,
( spl0_780
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),xa),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).
fof(f1045,plain,
( spl0_120
<=> ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(sdtpldt0(X0,xa),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1164,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),xa),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_120 ),
inference(resolution,[],[f1046,f131]) ).
fof(f1046,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(sdtpldt0(X0,xa),sz00) )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f13641,plain,
( spl0_779
| ~ spl0_13
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1163,f1045,f126,f13639]) ).
fof(f13639,plain,
( spl0_779
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),xa),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).
fof(f1163,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),xa),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_120 ),
inference(resolution,[],[f1046,f127]) ).
fof(f13637,plain,
( spl0_778
| ~ spl0_14
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1158,f1041,f130,f13635]) ).
fof(f13635,plain,
( spl0_778
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),sz10),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).
fof(f1041,plain,
( spl0_119
<=> ! [X0] :
( sdtasdt0(X0,xa) = sdtasdt0(sdtasdt0(X0,sz10),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),sz10),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_119 ),
inference(resolution,[],[f1042,f131]) ).
fof(f1042,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtasdt0(sdtasdt0(X0,sz10),xa) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f13633,plain,
( spl0_777
| ~ spl0_13
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1157,f1041,f126,f13631]) ).
fof(f13631,plain,
( spl0_777
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),sz10),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).
fof(f1157,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),sz10),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_119 ),
inference(resolution,[],[f1042,f127]) ).
fof(f13629,plain,
( spl0_776
| ~ spl0_14
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1152,f1037,f130,f13627]) ).
fof(f13627,plain,
( spl0_776
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),sz00),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).
fof(f1037,plain,
( spl0_118
<=> ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(sdtpldt0(X0,sz00),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1152,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),sz00),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_118 ),
inference(resolution,[],[f1038,f131]) ).
fof(f1038,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(sdtpldt0(X0,sz00),xa) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f13625,plain,
( spl0_775
| ~ spl0_13
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1151,f1037,f126,f13623]) ).
fof(f13623,plain,
( spl0_775
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_118 ),
inference(resolution,[],[f1038,f127]) ).
fof(f13620,plain,
( spl0_774
| ~ spl0_14
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1145,f1033,f130,f13618]) ).
fof(f13618,plain,
( spl0_774
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(xa)) = sdtasdt0(smndt0(xa),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).
fof(f1033,plain,
( spl0_117
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xa)) = sdtasdt0(smndt0(xa),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1145,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(xa)) = sdtasdt0(smndt0(xa),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_117 ),
inference(resolution,[],[f1034,f131]) ).
fof(f1034,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xa)) = sdtasdt0(smndt0(xa),X0) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f13616,plain,
( spl0_773
| ~ spl0_13
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1144,f1033,f126,f13614]) ).
fof(f13614,plain,
( spl0_773
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(xa)) = sdtasdt0(smndt0(xa),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).
fof(f1144,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(xa)) = sdtasdt0(smndt0(xa),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_117 ),
inference(resolution,[],[f1034,f127]) ).
fof(f13612,plain,
( spl0_772
| ~ spl0_14
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1137,f1029,f130,f13610]) ).
fof(f13610,plain,
( spl0_772
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).
fof(f1137,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_116 ),
inference(resolution,[],[f1030,f131]) ).
fof(f13608,plain,
( spl0_771
| ~ spl0_13
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1136,f1029,f126,f13606]) ).
fof(f13606,plain,
( spl0_771
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).
fof(f1136,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_116 ),
inference(resolution,[],[f1030,f127]) ).
fof(f13604,plain,
( spl0_770
| ~ spl0_14
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1130,f1025,f130,f13602]) ).
fof(f13602,plain,
( spl0_770
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(xa,sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).
fof(f1025,plain,
( spl0_115
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtpldt0(sdtasdt0(xa,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1130,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(xa,sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_115 ),
inference(resolution,[],[f1026,f131]) ).
fof(f1026,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtpldt0(sdtasdt0(xa,X0),sz00) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f13600,plain,
( spl0_769
| ~ spl0_13
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1129,f1025,f126,f13598]) ).
fof(f13598,plain,
( spl0_769
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(xa,sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).
fof(f1129,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(xa,sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_115 ),
inference(resolution,[],[f1026,f127]) ).
fof(f13596,plain,
( spl0_768
| ~ spl0_14
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1123,f1021,f130,f13594]) ).
fof(f13594,plain,
( spl0_768
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).
fof(f1021,plain,
( spl0_114
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtpldt0(sz00,sdtasdt0(xa,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1123,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sz00,sdtasdt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_114 ),
inference(resolution,[],[f1022,f131]) ).
fof(f1022,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtpldt0(sz00,sdtasdt0(xa,X0)) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f13592,plain,
( spl0_767
| ~ spl0_13
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1122,f1021,f126,f13590]) ).
fof(f13590,plain,
( spl0_767
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).
fof(f1122,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_114 ),
inference(resolution,[],[f1022,f127]) ).
fof(f13588,plain,
( spl0_766
| ~ spl0_14
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1116,f1017,f130,f13586]) ).
fof(f13586,plain,
( spl0_766
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).
fof(f1017,plain,
( spl0_113
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(sdtasdt0(xa,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1116,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(xa,sdtasdt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_113 ),
inference(resolution,[],[f1018,f131]) ).
fof(f1018,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(sdtasdt0(xa,X0),sz10) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f13584,plain,
( spl0_765
| ~ spl0_13
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1115,f1017,f126,f13582]) ).
fof(f13582,plain,
( spl0_765
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).
fof(f1115,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sdtasdt0(xa,sdtpldt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_113 ),
inference(resolution,[],[f1018,f127]) ).
fof(f13580,plain,
( spl0_764
| ~ spl0_1
| ~ spl0_15
| ~ spl0_31
| ~ spl0_711 ),
inference(avatar_split_clause,[],[f12590,f12184,f276,f134,f58,f13577]) ).
fof(f13577,plain,
( spl0_764
<=> xa = sdtpldt0(sdtpldt0(xa,xa),smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).
fof(f276,plain,
( spl0_31
<=> sz00 = sdtpldt0(xa,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f12184,plain,
( spl0_711
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(xa,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f12590,plain,
( xa = sdtpldt0(sdtpldt0(xa,xa),smndt0(xa))
| ~ spl0_1
| ~ spl0_15
| ~ spl0_31
| ~ spl0_711 ),
inference(forward_demodulation,[],[f12589,f136]) ).
fof(f12589,plain,
( sdtpldt0(xa,sz00) = sdtpldt0(sdtpldt0(xa,xa),smndt0(xa))
| ~ spl0_1
| ~ spl0_31
| ~ spl0_711 ),
inference(forward_demodulation,[],[f12571,f278]) ).
fof(f278,plain,
( sz00 = sdtpldt0(xa,smndt0(xa))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f12571,plain,
( sdtpldt0(sdtpldt0(xa,xa),smndt0(xa)) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xa)))
| ~ spl0_1
| ~ spl0_711 ),
inference(resolution,[],[f12185,f60]) ).
fof(f12185,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(xa,X0),smndt0(xa)) )
| ~ spl0_711 ),
inference(avatar_component_clause,[],[f12184]) ).
fof(f13575,plain,
( spl0_763
| ~ spl0_14
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1104,f1013,f130,f13573]) ).
fof(f13573,plain,
( spl0_763
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sz10,sdtasdt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).
fof(f1013,plain,
( spl0_112
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(sz10,sdtasdt0(xa,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1104,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sz10,sdtasdt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_112 ),
inference(resolution,[],[f1014,f131]) ).
fof(f1014,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(sz10,sdtasdt0(xa,X0)) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f13571,plain,
( spl0_762
| ~ spl0_13
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1103,f1013,f126,f13569]) ).
fof(f13569,plain,
( spl0_762
<=> ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sdtasdt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).
fof(f1103,plain,
( ! [X0,X1] :
( sdtasdt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sdtasdt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_112 ),
inference(resolution,[],[f1014,f127]) ).
fof(f13567,plain,
( spl0_761
| ~ spl0_14
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1096,f1009,f130,f13565]) ).
fof(f13565,plain,
( spl0_761
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sdtpldt0(xa,sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).
fof(f1009,plain,
( spl0_111
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtpldt0(sdtpldt0(xa,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1096,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sdtpldt0(xa,sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_111 ),
inference(resolution,[],[f1010,f131]) ).
fof(f1010,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtpldt0(sdtpldt0(xa,X0),sz00) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f13563,plain,
( spl0_760
| ~ spl0_13
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1095,f1009,f126,f13561]) ).
fof(f13561,plain,
( spl0_760
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(xa,sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).
fof(f1095,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(xa,sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_111 ),
inference(resolution,[],[f1010,f127]) ).
fof(f13559,plain,
( spl0_759
| ~ spl0_14
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1088,f1005,f130,f13557]) ).
fof(f13557,plain,
( spl0_759
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).
fof(f1005,plain,
( spl0_110
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtpldt0(sz00,sdtpldt0(xa,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1088,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_110 ),
inference(resolution,[],[f1006,f131]) ).
fof(f1006,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtpldt0(sz00,sdtpldt0(xa,X0)) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f13555,plain,
( spl0_758
| ~ spl0_13
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1087,f1005,f126,f13553]) ).
fof(f13553,plain,
( spl0_758
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).
fof(f1087,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtpldt0(sz00,sdtpldt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_110 ),
inference(resolution,[],[f1006,f127]) ).
fof(f13551,plain,
( spl0_757
| ~ spl0_14
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1080,f1001,f130,f13549]) ).
fof(f13549,plain,
( spl0_757
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).
fof(f1001,plain,
( spl0_109
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtasdt0(sdtpldt0(xa,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1080,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_109 ),
inference(resolution,[],[f1002,f131]) ).
fof(f1002,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtasdt0(sdtpldt0(xa,X0),sz10) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f13547,plain,
( spl0_756
| ~ spl0_13
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1079,f1001,f126,f13545]) ).
fof(f13545,plain,
( spl0_756
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).
fof(f1079,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(xa,sdtpldt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_109 ),
inference(resolution,[],[f1002,f127]) ).
fof(f13543,plain,
( spl0_755
| ~ spl0_14
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1072,f997,f130,f13541]) ).
fof(f13541,plain,
( spl0_755
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sz10,sdtpldt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).
fof(f997,plain,
( spl0_108
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtasdt0(sz10,sdtpldt0(xa,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1072,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtasdt0(X0,X1)) = sdtasdt0(sz10,sdtpldt0(xa,sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_108 ),
inference(resolution,[],[f998,f131]) ).
fof(f998,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtasdt0(sz10,sdtpldt0(xa,X0)) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f13539,plain,
( spl0_754
| ~ spl0_13
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1071,f997,f126,f13537]) ).
fof(f13537,plain,
( spl0_754
<=> ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sdtpldt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).
fof(f1071,plain,
( ! [X0,X1] :
( sdtpldt0(xa,sdtpldt0(X0,X1)) = sdtasdt0(sz10,sdtpldt0(xa,sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_108 ),
inference(resolution,[],[f998,f127]) ).
fof(f13535,plain,
( spl0_753
| ~ spl0_1
| ~ spl0_2
| ~ spl0_26
| ~ spl0_31
| ~ spl0_42
| ~ spl0_710
| ~ spl0_711 ),
inference(avatar_split_clause,[],[f12574,f12184,f12179,f346,f276,f243,f63,f58,f13532]) ).
fof(f13532,plain,
( spl0_753
<=> sz10 = sdtpldt0(xa,sdtpldt0(sz10,smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).
fof(f12179,plain,
( spl0_710
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(sz10,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f12574,plain,
( sz10 = sdtpldt0(xa,sdtpldt0(sz10,smndt0(xa)))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_26
| ~ spl0_31
| ~ spl0_42
| ~ spl0_710
| ~ spl0_711 ),
inference(forward_demodulation,[],[f12573,f12559]) ).
fof(f12559,plain,
( sz10 = sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa))
| ~ spl0_1
| ~ spl0_26
| ~ spl0_31
| ~ spl0_710 ),
inference(forward_demodulation,[],[f12558,f245]) ).
fof(f12558,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa))
| ~ spl0_1
| ~ spl0_31
| ~ spl0_710 ),
inference(forward_demodulation,[],[f12548,f278]) ).
fof(f12548,plain,
( sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa)) = sdtpldt0(sz10,sdtpldt0(xa,smndt0(xa)))
| ~ spl0_1
| ~ spl0_710 ),
inference(resolution,[],[f12180,f60]) ).
fof(f12180,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(sz10,X0),smndt0(xa)) )
| ~ spl0_710 ),
inference(avatar_component_clause,[],[f12179]) ).
fof(f12573,plain,
( sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa)) = sdtpldt0(xa,sdtpldt0(sz10,smndt0(xa)))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_711 ),
inference(forward_demodulation,[],[f12561,f348]) ).
fof(f12561,plain,
( sdtpldt0(xa,sdtpldt0(sz10,smndt0(xa))) = sdtpldt0(sdtpldt0(xa,sz10),smndt0(xa))
| ~ spl0_2
| ~ spl0_711 ),
inference(resolution,[],[f12185,f65]) ).
fof(f13530,plain,
( spl0_752
| ~ spl0_14
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1065,f993,f130,f13528]) ).
fof(f13528,plain,
( spl0_752
<=> ! [X0,X1] :
( sdtasdt0(smndt0(sdtasdt0(X0,X1)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).
fof(f993,plain,
( spl0_107
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtasdt0(xa,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1065,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(sdtasdt0(X0,X1)),xa) = sdtasdt0(xa,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_107 ),
inference(resolution,[],[f994,f131]) ).
fof(f994,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X0),xa) = sdtasdt0(xa,smndt0(X0)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f13526,plain,
( spl0_751
| ~ spl0_13
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1064,f993,f126,f13524]) ).
fof(f13524,plain,
( spl0_751
<=> ! [X0,X1] :
( sdtasdt0(smndt0(sdtpldt0(X0,X1)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).
fof(f1064,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(sdtpldt0(X0,X1)),xa) = sdtasdt0(xa,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_107 ),
inference(resolution,[],[f994,f127]) ).
fof(f13522,plain,
( spl0_750
| ~ spl0_14
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1056,f989,f130,f13520]) ).
fof(f13520,plain,
( spl0_750
<=> ! [X0,X1] :
( sdtpldt0(smndt0(sdtasdt0(X0,X1)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).
fof(f989,plain,
( spl0_106
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xa) = sdtpldt0(xa,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1056,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(sdtasdt0(X0,X1)),xa) = sdtpldt0(xa,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_106 ),
inference(resolution,[],[f990,f131]) ).
fof(f990,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),xa) = sdtpldt0(xa,smndt0(X0)) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f13518,plain,
( spl0_749
| ~ spl0_13
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1055,f989,f126,f13516]) ).
fof(f13516,plain,
( spl0_749
<=> ! [X0,X1] :
( sdtpldt0(smndt0(sdtpldt0(X0,X1)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).
fof(f1055,plain,
( ! [X0,X1] :
( sdtpldt0(smndt0(sdtpldt0(X0,X1)),xa) = sdtpldt0(xa,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_106 ),
inference(resolution,[],[f990,f127]) ).
fof(f13408,plain,
( spl0_748
| ~ spl0_2
| ~ spl0_101
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f3338,f3280,f956,f63,f13406]) ).
fof(f13406,plain,
( spl0_748
<=> ! [X0] :
( sdtasdt0(sdtpldt0(sz10,X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).
fof(f956,plain,
( spl0_101
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f3280,plain,
( spl0_322
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(sdtasdt0(X1,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f3338,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(sz10,X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),sdtasdt0(X0,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_101
| ~ spl0_322 ),
inference(forward_demodulation,[],[f3333,f958]) ).
fof(f958,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f3333,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(sz10,X0),smndt0(sz10)) = sdtpldt0(sdtasdt0(sz10,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10))) )
| ~ spl0_2
| ~ spl0_322 ),
inference(resolution,[],[f3281,f65]) ).
fof(f3281,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(sdtasdt0(X1,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10))) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f3280]) ).
fof(f13404,plain,
( spl0_747
| ~ spl0_6
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1983,f1932,f82,f13402]) ).
fof(f13402,plain,
( spl0_747
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(smndt0(X0),sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).
fof(f1932,plain,
( spl0_195
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f1983,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(smndt0(X0),sz10))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_195 ),
inference(resolution,[],[f1933,f83]) ).
fof(f1933,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10)) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f13400,plain,
( spl0_746
| ~ spl0_1
| ~ spl0_26
| ~ spl0_31
| ~ spl0_710 ),
inference(avatar_split_clause,[],[f12559,f12179,f276,f243,f58,f13397]) ).
fof(f13397,plain,
( spl0_746
<=> sz10 = sdtpldt0(sdtpldt0(sz10,xa),smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).
fof(f13395,plain,
( spl0_745
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1973,f1928,f82,f13393]) ).
fof(f13393,plain,
( spl0_745
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),sdtasdt0(smndt0(X0),sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).
fof(f1928,plain,
( spl0_194
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f1973,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),sdtasdt0(smndt0(X0),sz00))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_194 ),
inference(resolution,[],[f1929,f83]) ).
fof(f1929,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00)) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f13391,plain,
( spl0_744
| ~ spl0_6
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1966,f1924,f82,f13389]) ).
fof(f13389,plain,
( spl0_744
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(smndt0(X0),sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).
fof(f1924,plain,
( spl0_193
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1966,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(smndt0(X0),sz00))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_193 ),
inference(resolution,[],[f1925,f83]) ).
fof(f1925,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00)) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f13303,plain,
( spl0_743
| ~ spl0_2
| ~ spl0_87
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f3245,f3236,f821,f63,f13301]) ).
fof(f13301,plain,
( spl0_743
<=> ! [X0] :
( sdtasdt0(sdtpldt0(sz10,X0),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtasdt0(X0,smndt0(xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).
fof(f821,plain,
( spl0_87
<=> smndt0(xa) = sdtasdt0(sz10,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f3236,plain,
( spl0_313
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xa)) = sdtpldt0(sdtasdt0(X1,smndt0(xa)),sdtasdt0(X0,smndt0(xa))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f3245,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(sz10,X0),smndt0(xa)) = sdtpldt0(smndt0(xa),sdtasdt0(X0,smndt0(xa)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_87
| ~ spl0_313 ),
inference(forward_demodulation,[],[f3240,f823]) ).
fof(f823,plain,
( smndt0(xa) = sdtasdt0(sz10,smndt0(xa))
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f3240,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(sz10,X0),smndt0(xa)) = sdtpldt0(sdtasdt0(sz10,smndt0(xa)),sdtasdt0(X0,smndt0(xa))) )
| ~ spl0_2
| ~ spl0_313 ),
inference(resolution,[],[f3237,f65]) ).
fof(f3237,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xa)) = sdtpldt0(sdtasdt0(X1,smndt0(xa)),sdtasdt0(X0,smndt0(xa))) )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f3236]) ).
fof(f13299,plain,
( spl0_742
| ~ spl0_6
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1893,f1812,f82,f13297]) ).
fof(f13297,plain,
( spl0_742
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),sdtasdt0(smndt0(X0),sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).
fof(f1812,plain,
( spl0_187
<=> ! [X0] :
( sdtasdt0(X0,xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1893,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),sdtasdt0(smndt0(X0),sz00))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_187 ),
inference(resolution,[],[f1813,f83]) ).
fof(f1813,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz00)) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f13295,plain,
( spl0_741
| ~ spl0_6
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1873,f1804,f82,f13293]) ).
fof(f13293,plain,
( spl0_741
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(smndt0(X0),xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).
fof(f1804,plain,
( spl0_185
<=> ! [X0] :
( sdtasdt0(X0,xa) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1873,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sdtasdt0(smndt0(X0),xa))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_185 ),
inference(resolution,[],[f1805,f83]) ).
fof(f1805,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xa)) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f12943,plain,
( spl0_740
| ~ spl0_2
| ~ spl0_20
| ~ spl0_34
| ~ spl0_706 ),
inference(avatar_split_clause,[],[f12455,f12163,f293,f187,f63,f12940]) ).
fof(f12940,plain,
( spl0_740
<=> xa = sdtpldt0(sz10,sdtpldt0(xa,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).
fof(f187,plain,
( spl0_20
<=> xa = sdtpldt0(sz00,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f12163,plain,
( spl0_706
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,smndt0(sz10)),xa) = sdtpldt0(X0,sdtpldt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f12455,plain,
( xa = sdtpldt0(sz10,sdtpldt0(xa,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_20
| ~ spl0_34
| ~ spl0_706 ),
inference(forward_demodulation,[],[f12454,f189]) ).
fof(f189,plain,
( xa = sdtpldt0(sz00,xa)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f12454,plain,
( sdtpldt0(sz00,xa) = sdtpldt0(sz10,sdtpldt0(xa,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_34
| ~ spl0_706 ),
inference(forward_demodulation,[],[f12441,f295]) ).
fof(f12441,plain,
( sdtpldt0(sdtpldt0(sz10,smndt0(sz10)),xa) = sdtpldt0(sz10,sdtpldt0(xa,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_706 ),
inference(resolution,[],[f12164,f65]) ).
fof(f12164,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(sz10)),xa) = sdtpldt0(X0,sdtpldt0(xa,smndt0(sz10))) )
| ~ spl0_706 ),
inference(avatar_component_clause,[],[f12163]) ).
fof(f12938,plain,
( spl0_739
| ~ spl0_2
| ~ spl0_101
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f3234,f3023,f956,f63,f12936]) ).
fof(f12936,plain,
( spl0_739
<=> ! [X0] :
( sdtasdt0(sz10,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).
fof(f3234,plain,
( ! [X0] :
( sdtasdt0(sz10,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_101
| ~ spl0_309 ),
inference(forward_demodulation,[],[f3229,f958]) ).
fof(f3229,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,smndt0(sz10))) )
| ~ spl0_2
| ~ spl0_309 ),
inference(resolution,[],[f3024,f65]) ).
fof(f12934,plain,
( spl0_738
| ~ spl0_2
| ~ spl0_100
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f3226,f3019,f951,f63,f12932]) ).
fof(f12932,plain,
( spl0_738
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(sz10)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).
fof(f951,plain,
( spl0_100
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f3019,plain,
( spl0_308
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(smndt0(X1),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f3226,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(sz10)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_100
| ~ spl0_308 ),
inference(forward_demodulation,[],[f3219,f953]) ).
fof(f953,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f3219,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(sz10)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(smndt0(sz10),sz10)) )
| ~ spl0_2
| ~ spl0_308 ),
inference(resolution,[],[f3020,f65]) ).
fof(f3020,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(smndt0(X1),sz10)) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f3019]) ).
fof(f12930,plain,
( spl0_737
| ~ spl0_2
| ~ spl0_98
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f3197,f3007,f941,f63,f12928]) ).
fof(f12928,plain,
( spl0_737
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).
fof(f941,plain,
( spl0_98
<=> smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f3007,plain,
( spl0_305
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f3197,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_98
| ~ spl0_305 ),
inference(forward_demodulation,[],[f3190,f943]) ).
fof(f943,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f3190,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(sz10),sz00)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz00)) )
| ~ spl0_2
| ~ spl0_305 ),
inference(resolution,[],[f3008,f65]) ).
fof(f3008,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(X1),sz00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz00)) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f12926,plain,
( spl0_736
| ~ spl0_2
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f2851,f2797,f63,f12924]) ).
fof(f12924,plain,
( spl0_736
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(sz10,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).
fof(f2797,plain,
( spl0_273
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f2851,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(sz10,X0),smndt0(sz10)) )
| ~ spl0_2
| ~ spl0_273 ),
inference(resolution,[],[f2798,f65]) ).
fof(f2798,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(sz10)) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f12922,plain,
( spl0_735
| ~ spl0_3
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f2850,f2797,f68,f12920]) ).
fof(f12920,plain,
( spl0_735
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(sz00,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).
fof(f2850,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(sz00,X0),smndt0(sz10)) )
| ~ spl0_3
| ~ spl0_273 ),
inference(resolution,[],[f2798,f70]) ).
fof(f12918,plain,
( spl0_734
| ~ spl0_2
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f2845,f2793,f63,f12916]) ).
fof(f2793,plain,
( spl0_272
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f2845,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sz10)) )
| ~ spl0_2
| ~ spl0_272 ),
inference(resolution,[],[f2794,f65]) ).
fof(f2794,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(sz10)) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f12914,plain,
( spl0_733
| ~ spl0_3
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f2844,f2793,f68,f12912]) ).
fof(f12912,plain,
( spl0_733
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f2844,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sz10)) )
| ~ spl0_3
| ~ spl0_272 ),
inference(resolution,[],[f2794,f70]) ).
fof(f12910,plain,
( spl0_732
| ~ spl0_2
| ~ spl0_130
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f2827,f2785,f1205,f63,f12908]) ).
fof(f12908,plain,
( spl0_732
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f1205,plain,
( spl0_130
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2785,plain,
( spl0_270
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(smndt0(X1),sz00)) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f2827,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_130
| ~ spl0_270 ),
inference(forward_demodulation,[],[f2821,f1374]) ).
fof(f1374,plain,
( sdtasdt0(smndt0(sz10),sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl0_2
| ~ spl0_130 ),
inference(resolution,[],[f1206,f65]) ).
fof(f1206,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0)) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f2821,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(smndt0(sz10),sz00)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00) )
| ~ spl0_2
| ~ spl0_270 ),
inference(resolution,[],[f2786,f65]) ).
fof(f2786,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(smndt0(X1),sz00)) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz00) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f2785]) ).
fof(f12906,plain,
( spl0_731
| ~ spl0_6
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2017,f1944,f82,f12904]) ).
fof(f12904,plain,
( spl0_731
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz10),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f1944,plain,
( spl0_198
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f2017,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz10),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_198 ),
inference(resolution,[],[f1945,f83]) ).
fof(f1945,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f12902,plain,
( spl0_730
| ~ spl0_6
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f2005,f1940,f82,f12900]) ).
fof(f12900,plain,
( spl0_730
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz00),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f1940,plain,
( spl0_197
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f2005,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz00),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_197 ),
inference(resolution,[],[f1941,f83]) ).
fof(f1941,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f12898,plain,
( spl0_729
| ~ spl0_1
| ~ spl0_20
| ~ spl0_32
| ~ spl0_698 ),
inference(avatar_split_clause,[],[f12280,f12130,f281,f187,f58,f12895]) ).
fof(f281,plain,
( spl0_32
<=> sz00 = sdtpldt0(smndt0(xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f12130,plain,
( spl0_698
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),xa),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f12280,plain,
( xa = sdtpldt0(smndt0(xa),sdtpldt0(xa,xa))
| ~ spl0_1
| ~ spl0_20
| ~ spl0_32
| ~ spl0_698 ),
inference(forward_demodulation,[],[f12279,f189]) ).
fof(f12279,plain,
( sdtpldt0(sz00,xa) = sdtpldt0(smndt0(xa),sdtpldt0(xa,xa))
| ~ spl0_1
| ~ spl0_32
| ~ spl0_698 ),
inference(forward_demodulation,[],[f12268,f283]) ).
fof(f283,plain,
( sz00 = sdtpldt0(smndt0(xa),xa)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f12268,plain,
( sdtpldt0(smndt0(xa),sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(smndt0(xa),xa),xa)
| ~ spl0_1
| ~ spl0_698 ),
inference(resolution,[],[f12131,f60]) ).
fof(f12131,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),xa),xa) )
| ~ spl0_698 ),
inference(avatar_component_clause,[],[f12130]) ).
fof(f12893,plain,
( spl0_728
| ~ spl0_6
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1993,f1936,f82,f12891]) ).
fof(f12891,plain,
( spl0_728
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz10),sz00) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f1936,plain,
( spl0_196
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1993,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz10),sz00) = sdtpldt0(sdtasdt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_196 ),
inference(resolution,[],[f1937,f83]) ).
fof(f1937,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f12867,plain,
( spl0_727
| ~ spl0_437
| ~ spl0_726 ),
inference(avatar_split_clause,[],[f12863,f12860,f4463,f12865]) ).
fof(f12865,plain,
( spl0_727
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f4463,plain,
( spl0_437
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f12860,plain,
( spl0_726
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f12863,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_437
| ~ spl0_726 ),
inference(forward_demodulation,[],[f12861,f4465]) ).
fof(f4465,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f4463]) ).
fof(f12861,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_726 ),
inference(avatar_component_clause,[],[f12860]) ).
fof(f12862,plain,
( spl0_726
| ~ spl0_6
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1959,f1920,f82,f12860]) ).
fof(f1920,plain,
( spl0_192
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1959,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_192 ),
inference(resolution,[],[f1921,f83]) ).
fof(f1921,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),sz00) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f12858,plain,
( spl0_725
| ~ spl0_6
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1949,f1916,f82,f12856]) ).
fof(f1916,plain,
( spl0_191
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f1949,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_191 ),
inference(resolution,[],[f1917,f83]) ).
fof(f1917,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(X0,sz10),sz10) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f12721,plain,
( spl0_724
| ~ spl0_1
| ~ spl0_311
| ~ spl0_495
| ~ spl0_697 ),
inference(avatar_split_clause,[],[f12256,f12126,f5849,f3104,f58,f12718]) ).
fof(f5849,plain,
( spl0_495
<=> sz10 = sdtpldt0(sdtpldt0(sz10,smndt0(xa)),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f12126,plain,
( spl0_697
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f12256,plain,
( sz10 = sdtpldt0(smndt0(xa),sdtpldt0(sz10,xa))
| ~ spl0_1
| ~ spl0_311
| ~ spl0_495
| ~ spl0_697 ),
inference(forward_demodulation,[],[f12255,f5851]) ).
fof(f5851,plain,
( sz10 = sdtpldt0(sdtpldt0(sz10,smndt0(xa)),xa)
| ~ spl0_495 ),
inference(avatar_component_clause,[],[f5849]) ).
fof(f12255,plain,
( sdtpldt0(sdtpldt0(sz10,smndt0(xa)),xa) = sdtpldt0(smndt0(xa),sdtpldt0(sz10,xa))
| ~ spl0_1
| ~ spl0_311
| ~ spl0_697 ),
inference(forward_demodulation,[],[f12243,f3106]) ).
fof(f12243,plain,
( sdtpldt0(smndt0(xa),sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(smndt0(xa),sz10),xa)
| ~ spl0_1
| ~ spl0_697 ),
inference(resolution,[],[f12127,f60]) ).
fof(f12127,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),xa) )
| ~ spl0_697 ),
inference(avatar_component_clause,[],[f12126]) ).
fof(f12467,plain,
( spl0_723
| ~ spl0_2
| ~ spl0_20
| ~ spl0_36
| ~ spl0_697 ),
inference(avatar_split_clause,[],[f12247,f12126,f303,f187,f63,f12464]) ).
fof(f12464,plain,
( spl0_723
<=> xa = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f12247,plain,
( xa = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xa))
| ~ spl0_2
| ~ spl0_20
| ~ spl0_36
| ~ spl0_697 ),
inference(forward_demodulation,[],[f12246,f189]) ).
fof(f12246,plain,
( sdtpldt0(sz00,xa) = sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xa))
| ~ spl0_2
| ~ spl0_36
| ~ spl0_697 ),
inference(forward_demodulation,[],[f12233,f305]) ).
fof(f12233,plain,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(smndt0(sz10),sz10),xa)
| ~ spl0_2
| ~ spl0_697 ),
inference(resolution,[],[f12127,f65]) ).
fof(f12231,plain,
( spl0_722
| ~ spl0_1
| ~ spl0_84
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f3227,f3019,f750,f58,f12229]) ).
fof(f12229,plain,
( spl0_722
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(xa)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),smndt0(xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f750,plain,
( spl0_84
<=> smndt0(xa) = sdtasdt0(smndt0(xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f3227,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,smndt0(xa)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),smndt0(xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_84
| ~ spl0_308 ),
inference(forward_demodulation,[],[f3223,f752]) ).
fof(f752,plain,
( smndt0(xa) = sdtasdt0(smndt0(xa),sz10)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f3223,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(xa)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(smndt0(xa),sz10)) )
| ~ spl0_1
| ~ spl0_308 ),
inference(resolution,[],[f3020,f60]) ).
fof(f12227,plain,
( spl0_721
| ~ spl0_1
| ~ spl0_23
| ~ spl0_694 ),
inference(avatar_split_clause,[],[f12124,f11668,f224,f58,f12224]) ).
fof(f12224,plain,
( spl0_721
<=> sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,smndt0(sz10)),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f224,plain,
( spl0_23
<=> xa = sdtasdt0(xa,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f11668,plain,
( spl0_694
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f12124,plain,
( sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,smndt0(sz10)),xa)
| ~ spl0_1
| ~ spl0_23
| ~ spl0_694 ),
inference(forward_demodulation,[],[f12100,f226]) ).
fof(f226,plain,
( xa = sdtasdt0(xa,sz10)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f12100,plain,
( sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,smndt0(sz10)),sdtasdt0(xa,sz10))
| ~ spl0_1
| ~ spl0_694 ),
inference(resolution,[],[f11669,f60]) ).
fof(f11669,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz10)) )
| ~ spl0_694 ),
inference(avatar_component_clause,[],[f11668]) ).
fof(f12222,plain,
( spl0_720
| ~ spl0_1
| ~ spl0_69
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f3198,f3007,f634,f58,f12220]) ).
fof(f12220,plain,
( spl0_720
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xa)) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f634,plain,
( spl0_69
<=> smndt0(xa) = sdtpldt0(smndt0(xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f3198,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xa)) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_69
| ~ spl0_305 ),
inference(forward_demodulation,[],[f3194,f636]) ).
fof(f636,plain,
( smndt0(xa) = sdtpldt0(smndt0(xa),sz00)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f3194,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(xa),sz00)) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,sz00)) )
| ~ spl0_1
| ~ spl0_305 ),
inference(resolution,[],[f3008,f60]) ).
fof(f12218,plain,
( spl0_719
| ~ spl0_2
| ~ spl0_87
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f2894,f2865,f821,f63,f12216]) ).
fof(f12216,plain,
( spl0_719
<=> ! [X0] :
( sdtasdt0(sz10,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(sz10,X0),smndt0(xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f2894,plain,
( ! [X0] :
( sdtasdt0(sz10,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(sz10,X0),smndt0(xa))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_87
| ~ spl0_277 ),
inference(forward_demodulation,[],[f2889,f823]) ).
fof(f2889,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,smndt0(xa))) )
| ~ spl0_2
| ~ spl0_277 ),
inference(resolution,[],[f2866,f65]) ).
fof(f12214,plain,
( spl0_718
| ~ spl0_1
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f2855,f2797,f58,f12212]) ).
fof(f12212,plain,
( spl0_718
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(xa,X0),smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f2855,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(xa,X0),smndt0(sz10)) )
| ~ spl0_1
| ~ spl0_273 ),
inference(resolution,[],[f2798,f60]) ).
fof(f12210,plain,
( spl0_717
| ~ spl0_1
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f2849,f2793,f58,f12208]) ).
fof(f2849,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(xa,X0),smndt0(sz10)) )
| ~ spl0_1
| ~ spl0_272 ),
inference(resolution,[],[f2794,f60]) ).
fof(f12206,plain,
( spl0_716
| ~ spl0_1
| ~ spl0_3
| ~ spl0_117
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f2828,f2785,f1033,f68,f58,f12204]) ).
fof(f12204,plain,
( spl0_716
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(xa)),sz00) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f2828,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(xa)),sz00) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_117
| ~ spl0_270 ),
inference(forward_demodulation,[],[f2825,f1141]) ).
fof(f1141,plain,
( sdtasdt0(sz00,smndt0(xa)) = sdtasdt0(smndt0(xa),sz00)
| ~ spl0_3
| ~ spl0_117 ),
inference(resolution,[],[f1034,f70]) ).
fof(f2825,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(smndt0(xa),sz00)) = sdtasdt0(sdtasdt0(X0,smndt0(xa)),sz00) )
| ~ spl0_1
| ~ spl0_270 ),
inference(resolution,[],[f2786,f60]) ).
fof(f12202,plain,
( spl0_715
| ~ spl0_1
| ~ spl0_2
| ~ spl0_116
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f2819,f2781,f1029,f63,f58,f12200]) ).
fof(f12200,plain,
( spl0_715
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,smndt0(xa)),sz10) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f2781,plain,
( spl0_269
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f2819,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,smndt0(xa)),sz10) = sdtpldt0(X0,sdtpldt0(sz10,smndt0(xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_116
| ~ spl0_269 ),
inference(forward_demodulation,[],[f2815,f1134]) ).
fof(f1134,plain,
( sdtpldt0(sz10,smndt0(xa)) = sdtpldt0(smndt0(xa),sz10)
| ~ spl0_2
| ~ spl0_116 ),
inference(resolution,[],[f1030,f65]) ).
fof(f2815,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(xa),sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(xa)),sz10) )
| ~ spl0_1
| ~ spl0_269 ),
inference(resolution,[],[f2782,f60]) ).
fof(f2782,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz10) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f2781]) ).
fof(f12198,plain,
( spl0_714
| ~ spl0_1
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f2775,f2736,f58,f12196]) ).
fof(f12196,plain,
( spl0_714
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(xa,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f2736,plain,
( spl0_266
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f2775,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(xa,X0),smndt0(xa)) )
| ~ spl0_1
| ~ spl0_266 ),
inference(resolution,[],[f2737,f60]) ).
fof(f2737,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(xa)) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f12194,plain,
( spl0_713
| ~ spl0_2
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f2771,f2736,f63,f12192]) ).
fof(f12192,plain,
( spl0_713
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(sz10,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f2771,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(sz10,X0),smndt0(xa)) )
| ~ spl0_2
| ~ spl0_266 ),
inference(resolution,[],[f2737,f65]) ).
fof(f12190,plain,
( spl0_712
| ~ spl0_3
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f2770,f2736,f68,f12188]) ).
fof(f12188,plain,
( spl0_712
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(sz00,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f2770,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(sz00,X0),smndt0(xa)) )
| ~ spl0_3
| ~ spl0_266 ),
inference(resolution,[],[f2737,f70]) ).
fof(f12186,plain,
( spl0_711
| ~ spl0_1
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2764,f2732,f58,f12184]) ).
fof(f2732,plain,
( spl0_265
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f2764,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(xa,X0),smndt0(xa)) )
| ~ spl0_1
| ~ spl0_265 ),
inference(resolution,[],[f2733,f60]) ).
fof(f2733,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(xa)) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f2732]) ).
fof(f12181,plain,
( spl0_710
| ~ spl0_2
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2760,f2732,f63,f12179]) ).
fof(f2760,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(sz10,X0),smndt0(xa)) )
| ~ spl0_2
| ~ spl0_265 ),
inference(resolution,[],[f2733,f65]) ).
fof(f12177,plain,
( spl0_709
| ~ spl0_3
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2759,f2732,f68,f12175]) ).
fof(f12175,plain,
( spl0_709
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(sz00,X0),smndt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f2759,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(sz00,X0),smndt0(xa)) )
| ~ spl0_3
| ~ spl0_265 ),
inference(resolution,[],[f2733,f70]) ).
fof(f12173,plain,
( spl0_708
| ~ spl0_1
| ~ spl0_135
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f2758,f2728,f1225,f58,f12171]) ).
fof(f12171,plain,
( spl0_708
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(xa)),xa) = sdtasdt0(X0,sdtasdt0(xa,smndt0(xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f2728,plain,
( spl0_264
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(smndt0(X1),xa)) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f2758,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(xa)),xa) = sdtasdt0(X0,sdtasdt0(xa,smndt0(xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_135
| ~ spl0_264 ),
inference(forward_demodulation,[],[f2754,f1227]) ).
fof(f2754,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(smndt0(xa),xa)) = sdtasdt0(sdtasdt0(X0,smndt0(xa)),xa) )
| ~ spl0_1
| ~ spl0_264 ),
inference(resolution,[],[f2729,f60]) ).
fof(f2729,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(smndt0(X1),xa)) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),xa) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f2728]) ).
fof(f12169,plain,
( spl0_707
| ~ spl0_2
| ~ spl0_124
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f2757,f2728,f1180,f63,f12167]) ).
fof(f12167,plain,
( spl0_707
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xa) = sdtasdt0(X0,sdtasdt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f2757,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xa) = sdtasdt0(X0,sdtasdt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_124
| ~ spl0_264 ),
inference(forward_demodulation,[],[f2750,f1182]) ).
fof(f2750,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(smndt0(sz10),xa)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xa) )
| ~ spl0_2
| ~ spl0_264 ),
inference(resolution,[],[f2729,f65]) ).
fof(f12165,plain,
( spl0_706
| ~ spl0_2
| ~ spl0_122
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f2747,f2724,f1108,f63,f12163]) ).
fof(f2724,plain,
( spl0_263
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtpldt0(X0,smndt0(X1)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f2747,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,smndt0(sz10)),xa) = sdtpldt0(X0,sdtpldt0(xa,smndt0(sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_122
| ~ spl0_263 ),
inference(forward_demodulation,[],[f2740,f1110]) ).
fof(f2740,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(sz10),xa)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),xa) )
| ~ spl0_2
| ~ spl0_263 ),
inference(resolution,[],[f2725,f65]) ).
fof(f2725,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtpldt0(X0,smndt0(X1)),xa) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f2724]) ).
fof(f12161,plain,
( spl0_705
| ~ spl0_6
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f1907,f1821,f82,f12159]) ).
fof(f12159,plain,
( spl0_705
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),xa),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f1821,plain,
( spl0_189
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1907,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),xa),sz10) = sdtpldt0(sdtasdt0(smndt0(X0),sz10),xa)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_189 ),
inference(resolution,[],[f1822,f83]) ).
fof(f1822,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,xa),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xa) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f12157,plain,
( spl0_704
| ~ spl0_6
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1882,f1808,f82,f12155]) ).
fof(f12155,plain,
( spl0_704
<=> ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz10),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f1808,plain,
( spl0_186
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xa) = sdtpldt0(sdtasdt0(X0,xa),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1882,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(smndt0(X0),sz10),xa) = sdtpldt0(sdtasdt0(smndt0(X0),xa),xa)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_186 ),
inference(resolution,[],[f1809,f83]) ).
fof(f1809,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),xa) = sdtpldt0(sdtasdt0(X0,xa),xa) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f12153,plain,
( spl0_703
| ~ spl0_6
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1865,f1800,f82,f12151]) ).
fof(f12151,plain,
( spl0_703
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(smndt0(X0),xa),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f1800,plain,
( spl0_184
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(X0,xa),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1865,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(smndt0(X0),xa),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_184 ),
inference(resolution,[],[f1801,f83]) ).
fof(f1801,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(X0,xa),sz00) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f12149,plain,
( spl0_702
| ~ spl0_6
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f1857,f1796,f82,f12147]) ).
fof(f12147,plain,
( spl0_702
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),xa),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f1796,plain,
( spl0_183
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(X0,xa),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1857,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),xa),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_183 ),
inference(resolution,[],[f1797,f83]) ).
fof(f1797,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(X0,xa),sz10) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f12145,plain,
( spl0_701
| ~ spl0_6
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1849,f1792,f82,f12143]) ).
fof(f12143,plain,
( spl0_701
<=> ! [X0] :
( sdtasdt0(sdtasdt0(smndt0(X0),sz00),xa) = sdtasdt0(smndt0(X0),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f1792,plain,
( spl0_182
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xa) = sdtasdt0(X0,sdtasdt0(xa,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1849,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(smndt0(X0),sz00),xa) = sdtasdt0(smndt0(X0),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_182 ),
inference(resolution,[],[f1793,f83]) ).
fof(f1793,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X0,sz00),xa) = sdtasdt0(X0,sdtasdt0(xa,sz00)) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f12141,plain,
( spl0_700
| ~ spl0_3
| ~ spl0_28
| ~ spl0_437
| ~ spl0_694 ),
inference(avatar_split_clause,[],[f12102,f11668,f4463,f253,f68,f12138]) ).
fof(f12138,plain,
( spl0_700
<=> sz00 = sdtpldt0(sdtasdt0(sz00,smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f12102,plain,
( sz00 = sdtpldt0(sdtasdt0(sz00,smndt0(sz10)),sz00)
| ~ spl0_3
| ~ spl0_28
| ~ spl0_437
| ~ spl0_694 ),
inference(forward_demodulation,[],[f12101,f4465]) ).
fof(f12101,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,smndt0(sz10)),sz00)
| ~ spl0_3
| ~ spl0_28
| ~ spl0_694 ),
inference(forward_demodulation,[],[f12089,f255]) ).
fof(f12089,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,smndt0(sz10)),sdtasdt0(sz00,sz10))
| ~ spl0_3
| ~ spl0_694 ),
inference(resolution,[],[f11669,f70]) ).
fof(f12136,plain,
( spl0_699
| ~ spl0_6
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1841,f1788,f82,f12134]) ).
fof(f12134,plain,
( spl0_699
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(smndt0(X0),xa),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f1788,plain,
( spl0_181
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(X0,xa),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1841,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(smndt0(X0),xa),xa)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_181 ),
inference(resolution,[],[f1789,f83]) ).
fof(f1789,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(X0,xa),xa) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f12132,plain,
( spl0_698
| ~ spl0_6
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1834,f1784,f82,f12130]) ).
fof(f1784,plain,
( spl0_180
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(X0,xa),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1834,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),xa),xa)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_180 ),
inference(resolution,[],[f1785,f83]) ).
fof(f1785,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(X0,xa),xa) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f12128,plain,
( spl0_697
| ~ spl0_6
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1826,f1780,f82,f12126]) ).
fof(f1780,plain,
( spl0_179
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(X0,sz10),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1826,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),xa)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_179 ),
inference(resolution,[],[f1781,f83]) ).
fof(f1781,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(X0,sz10),xa) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f11983,plain,
( spl0_696
| ~ spl0_1
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f6220,f5878,f58,f11980]) ).
fof(f11980,plain,
( spl0_696
<=> sdtasdt0(xa,smndt0(xa)) = sdtpldt0(sdtasdt0(xa,smndt0(xa)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f5878,plain,
( spl0_502
<=> ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtpldt0(sdtasdt0(xa,smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f6220,plain,
( sdtasdt0(xa,smndt0(xa)) = sdtpldt0(sdtasdt0(xa,smndt0(xa)),sz00)
| ~ spl0_1
| ~ spl0_502 ),
inference(resolution,[],[f5879,f60]) ).
fof(f5879,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,smndt0(X0)) = sdtpldt0(sdtasdt0(xa,smndt0(X0)),sz00) )
| ~ spl0_502 ),
inference(avatar_component_clause,[],[f5878]) ).
fof(f11777,plain,
( spl0_695
| ~ spl0_2
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f6214,f5878,f63,f11774]) ).
fof(f11774,plain,
( spl0_695
<=> sdtasdt0(xa,smndt0(sz10)) = sdtpldt0(sdtasdt0(xa,smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f6214,plain,
( sdtasdt0(xa,smndt0(sz10)) = sdtpldt0(sdtasdt0(xa,smndt0(sz10)),sz00)
| ~ spl0_2
| ~ spl0_502 ),
inference(resolution,[],[f5879,f65]) ).
fof(f11670,plain,
( spl0_694
| ~ spl0_2
| ~ spl0_36
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f3207,f3011,f303,f63,f11668]) ).
fof(f3207,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_306 ),
inference(forward_demodulation,[],[f3200,f305]) ).
fof(f3200,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(sz10),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(sz10)),sdtasdt0(X0,sz10)) )
| ~ spl0_2
| ~ spl0_306 ),
inference(resolution,[],[f3012,f65]) ).
fof(f11666,plain,
( spl0_693
| ~ spl0_2
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2717,f2667,f63,f11664]) ).
fof(f11664,plain,
( spl0_693
<=> ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(smndt0(sz10),X0),smndt0(sdtasdt0(smndt0(sz10),X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f2667,plain,
( spl0_262
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(smndt0(X1),X0),smndt0(sdtasdt0(smndt0(X1),X0)))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f2717,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(smndt0(sz10),X0),smndt0(sdtasdt0(smndt0(sz10),X0)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_262 ),
inference(resolution,[],[f2668,f65]) ).
fof(f2668,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(smndt0(X1),X0),smndt0(sdtasdt0(smndt0(X1),X0)))
| ~ aInteger0(X0) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f11662,plain,
( spl0_692
| ~ spl0_2
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f2710,f2663,f63,f11660]) ).
fof(f11660,plain,
( spl0_692
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(sz10),X0)),sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f2663,plain,
( spl0_261
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(X1),X0)),sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f2710,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(sz10),X0)),sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_261 ),
inference(resolution,[],[f2664,f65]) ).
fof(f2664,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(X1),X0)),sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f2663]) ).
fof(f11658,plain,
( spl0_691
| ~ spl0_2
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f2703,f2659,f63,f11656]) ).
fof(f11656,plain,
( spl0_691
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(smndt0(sz10),X0),smndt0(sdtpldt0(smndt0(sz10),X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f2659,plain,
( spl0_260
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(smndt0(X1),X0),smndt0(sdtpldt0(smndt0(X1),X0)))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f2703,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(smndt0(sz10),X0),smndt0(sdtpldt0(smndt0(sz10),X0)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_260 ),
inference(resolution,[],[f2660,f65]) ).
fof(f2660,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(smndt0(X1),X0),smndt0(sdtpldt0(smndt0(X1),X0)))
| ~ aInteger0(X0) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f11653,plain,
( spl0_690
| ~ spl0_2
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f2695,f2655,f63,f11651]) ).
fof(f11651,plain,
( spl0_690
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(sz10),X0)),sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f2655,plain,
( spl0_259
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(X1),X0)),sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f2695,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(sz10),X0)),sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_259 ),
inference(resolution,[],[f2656,f65]) ).
fof(f2656,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(X1),X0)),sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X0) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f2655]) ).
fof(f11649,plain,
( spl0_689
| ~ spl0_2
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f2689,f2651,f63,f11647]) ).
fof(f11647,plain,
( spl0_689
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,sz10))),smndt0(sdtasdt0(X0,sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f2651,plain,
( spl0_258
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f2689,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,sz10))),smndt0(sdtasdt0(X0,sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_258 ),
inference(resolution,[],[f2652,f65]) ).
fof(f2652,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X0) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f11645,plain,
( spl0_688
| ~ spl0_3
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f2688,f2651,f68,f11643]) ).
fof(f11643,plain,
( spl0_688
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,sz00))),smndt0(sdtasdt0(X0,sz00)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f2688,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,sz00))),smndt0(sdtasdt0(X0,sz00)))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_258 ),
inference(resolution,[],[f2652,f70]) ).
fof(f11641,plain,
( spl0_687
| ~ spl0_2
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f2683,f2642,f63,f11639]) ).
fof(f11639,plain,
( spl0_687
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,sz10))),smndt0(sdtpldt0(X0,sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f2642,plain,
( spl0_256
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f2683,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,sz10))),smndt0(sdtpldt0(X0,sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_256 ),
inference(resolution,[],[f2643,f65]) ).
fof(f2643,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X0) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f2642]) ).
fof(f11637,plain,
( spl0_686
| ~ spl0_3
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f2682,f2642,f68,f11635]) ).
fof(f11635,plain,
( spl0_686
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,sz00))),smndt0(sdtpldt0(X0,sz00)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f2682,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,sz00))),smndt0(sdtpldt0(X0,sz00)))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_256 ),
inference(resolution,[],[f2643,f70]) ).
fof(f11633,plain,
( spl0_685
| ~ spl0_2
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f2677,f2638,f63,f11631]) ).
fof(f11631,plain,
( spl0_685
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,sz10)),smndt0(smndt0(sdtasdt0(X0,sz10))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f2638,plain,
( spl0_255
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f2677,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,sz10)),smndt0(smndt0(sdtasdt0(X0,sz10))))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_255 ),
inference(resolution,[],[f2639,f65]) ).
fof(f2639,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aInteger0(X0) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f11629,plain,
( spl0_684
| ~ spl0_3
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f2676,f2638,f68,f11627]) ).
fof(f11627,plain,
( spl0_684
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,sz00)),smndt0(smndt0(sdtasdt0(X0,sz00))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f2676,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,sz00)),smndt0(smndt0(sdtasdt0(X0,sz00))))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_255 ),
inference(resolution,[],[f2639,f70]) ).
fof(f11625,plain,
( spl0_683
| ~ spl0_2
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f2671,f2634,f63,f11623]) ).
fof(f11623,plain,
( spl0_683
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,sz10)),smndt0(smndt0(sdtpldt0(X0,sz10))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f2634,plain,
( spl0_254
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f2671,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,sz10)),smndt0(smndt0(sdtpldt0(X0,sz10))))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_254 ),
inference(resolution,[],[f2635,f65]) ).
fof(f2635,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aInteger0(X0) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f11621,plain,
( spl0_682
| ~ spl0_3
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f2670,f2634,f68,f11619]) ).
fof(f11619,plain,
( spl0_682
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,sz00)),smndt0(smndt0(sdtpldt0(X0,sz00))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f2670,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,sz00)),smndt0(smndt0(sdtpldt0(X0,sz00))))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_254 ),
inference(resolution,[],[f2635,f70]) ).
fof(f11617,plain,
( spl0_681
| ~ spl0_6
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1772,f1689,f82,f11615]) ).
fof(f11615,plain,
( spl0_681
<=> ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(sz10,smndt0(X0)),smndt0(sdtasdt0(sz10,smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f1689,plain,
( spl0_177
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1772,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(sz10,smndt0(X0)),smndt0(sdtasdt0(sz10,smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_177 ),
inference(resolution,[],[f1690,f83]) ).
fof(f1690,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f11613,plain,
( spl0_680
| ~ spl0_3
| ~ spl0_61
| ~ spl0_437
| ~ spl0_668 ),
inference(avatar_split_clause,[],[f11551,f11331,f4463,f517,f68,f11610]) ).
fof(f11610,plain,
( spl0_680
<=> sz00 = sdtpldt0(sdtasdt0(sz00,smndt0(xa)),sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f11331,plain,
( spl0_668
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f11551,plain,
( sz00 = sdtpldt0(sdtasdt0(sz00,smndt0(xa)),sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_61
| ~ spl0_437
| ~ spl0_668 ),
inference(forward_demodulation,[],[f11550,f4465]) ).
fof(f11550,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,smndt0(xa)),sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_61
| ~ spl0_668 ),
inference(forward_demodulation,[],[f11538,f519]) ).
fof(f11538,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,smndt0(xa)),sdtasdt0(sz00,xa))
| ~ spl0_3
| ~ spl0_668 ),
inference(resolution,[],[f11332,f70]) ).
fof(f11332,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,xa)) )
| ~ spl0_668 ),
inference(avatar_component_clause,[],[f11331]) ).
fof(f11608,plain,
( spl0_679
| ~ spl0_6
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f1759,f1680,f82,f11606]) ).
fof(f11606,plain,
( spl0_679
<=> ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(sz00,smndt0(X0)),smndt0(sdtasdt0(sz00,smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f1680,plain,
( spl0_175
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1759,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(sz00,smndt0(X0)),smndt0(sdtasdt0(sz00,smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_175 ),
inference(resolution,[],[f1681,f83]) ).
fof(f1681,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f11604,plain,
( spl0_678
| ~ spl0_6
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f1750,f1676,f82,f11602]) ).
fof(f11602,plain,
( spl0_678
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,smndt0(X0))),sdtasdt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f1676,plain,
( spl0_174
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f1750,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,smndt0(X0))),sdtasdt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_174 ),
inference(resolution,[],[f1677,f83]) ).
fof(f1677,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f11600,plain,
( spl0_677
| ~ spl0_6
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1742,f1672,f82,f11598]) ).
fof(f11598,plain,
( spl0_677
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,smndt0(X0))),sdtasdt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f1672,plain,
( spl0_173
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f1742,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,smndt0(X0))),sdtasdt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_173 ),
inference(resolution,[],[f1673,f83]) ).
fof(f1673,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f11596,plain,
( spl0_676
| ~ spl0_6
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1735,f1668,f82,f11594]) ).
fof(f11594,plain,
( spl0_676
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(sz10,smndt0(X0)),smndt0(sdtpldt0(sz10,smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f1668,plain,
( spl0_172
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f1735,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(sz10,smndt0(X0)),smndt0(sdtpldt0(sz10,smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_172 ),
inference(resolution,[],[f1669,f83]) ).
fof(f1669,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f11592,plain,
( spl0_675
| ~ spl0_6
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1726,f1664,f82,f11590]) ).
fof(f11590,plain,
( spl0_675
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),smndt0(sdtpldt0(sz00,smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f1664,plain,
( spl0_171
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1726,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),smndt0(sdtpldt0(sz00,smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_171 ),
inference(resolution,[],[f1665,f83]) ).
fof(f1665,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f11588,plain,
( spl0_674
| ~ spl0_6
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f1719,f1660,f82,f11586]) ).
fof(f11586,plain,
( spl0_674
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(X0))),sdtpldt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f1660,plain,
( spl0_170
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1719,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(X0))),sdtpldt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_170 ),
inference(resolution,[],[f1661,f83]) ).
fof(f1661,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f11584,plain,
( spl0_673
| ~ spl0_6
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f1710,f1656,f82,f11582]) ).
fof(f11582,plain,
( spl0_673
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,smndt0(X0))),sdtpldt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f1656,plain,
( spl0_169
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f1710,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,smndt0(X0))),sdtpldt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_169 ),
inference(resolution,[],[f1657,f83]) ).
fof(f1657,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f11580,plain,
( spl0_672
| ~ spl0_6
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1702,f1652,f82,f11578]) ).
fof(f11578,plain,
( spl0_672
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(smndt0(X0)))),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f1652,plain,
( spl0_168
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f1702,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(smndt0(X0)))),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_168 ),
inference(resolution,[],[f1653,f83]) ).
fof(f1653,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0))) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f11576,plain,
( spl0_671
| ~ spl0_6
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f1694,f1648,f82,f11574]) ).
fof(f11574,plain,
( spl0_671
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(smndt0(smndt0(X0)))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f1648,plain,
( spl0_167
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1694,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(smndt0(smndt0(X0)))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_167 ),
inference(resolution,[],[f1649,f83]) ).
fof(f1649,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0)))) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f11537,plain,
( spl0_670
| ~ spl0_1
| ~ spl0_501 ),
inference(avatar_split_clause,[],[f6211,f5874,f58,f11534]) ).
fof(f11534,plain,
( spl0_670
<=> sdtasdt0(xa,smndt0(xa)) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f5874,plain,
( spl0_501
<=> ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f6211,plain,
( sdtasdt0(xa,smndt0(xa)) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(xa)))
| ~ spl0_1
| ~ spl0_501 ),
inference(resolution,[],[f5875,f60]) ).
fof(f5875,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(X0))) )
| ~ spl0_501 ),
inference(avatar_component_clause,[],[f5874]) ).
fof(f11368,plain,
( spl0_669
| ~ spl0_2
| ~ spl0_501 ),
inference(avatar_split_clause,[],[f6205,f5874,f63,f11365]) ).
fof(f11365,plain,
( spl0_669
<=> sdtasdt0(xa,smndt0(sz10)) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f6205,plain,
( sdtasdt0(xa,smndt0(sz10)) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_501 ),
inference(resolution,[],[f5875,f65]) ).
fof(f11333,plain,
( spl0_668
| ~ spl0_1
| ~ spl0_32
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f2877,f2857,f281,f58,f11331]) ).
fof(f2877,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_32
| ~ spl0_275 ),
inference(forward_demodulation,[],[f2873,f283]) ).
fof(f2873,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(xa),xa)) = sdtpldt0(sdtasdt0(X0,smndt0(xa)),sdtasdt0(X0,xa)) )
| ~ spl0_1
| ~ spl0_275 ),
inference(resolution,[],[f2858,f60]) ).
fof(f11329,plain,
( spl0_667
| ~ spl0_1
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2721,f2667,f58,f11327]) ).
fof(f11327,plain,
( spl0_667
<=> ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(smndt0(xa),X0),smndt0(sdtasdt0(smndt0(xa),X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f2721,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(smndt0(xa),X0),smndt0(sdtasdt0(smndt0(xa),X0)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_262 ),
inference(resolution,[],[f2668,f60]) ).
fof(f11325,plain,
( spl0_666
| ~ spl0_1
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f2714,f2663,f58,f11323]) ).
fof(f11323,plain,
( spl0_666
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(xa),X0)),sdtasdt0(smndt0(xa),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f2714,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(xa),X0)),sdtasdt0(smndt0(xa),X0))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_261 ),
inference(resolution,[],[f2664,f60]) ).
fof(f11321,plain,
( spl0_665
| ~ spl0_1
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f2707,f2659,f58,f11319]) ).
fof(f11319,plain,
( spl0_665
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(smndt0(xa),X0),smndt0(sdtpldt0(smndt0(xa),X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f2707,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(smndt0(xa),X0),smndt0(sdtpldt0(smndt0(xa),X0)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_260 ),
inference(resolution,[],[f2660,f60]) ).
fof(f11317,plain,
( spl0_664
| ~ spl0_1
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f2699,f2655,f58,f11315]) ).
fof(f11315,plain,
( spl0_664
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(xa),X0)),sdtpldt0(smndt0(xa),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f2699,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(xa),X0)),sdtpldt0(smndt0(xa),X0))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_259 ),
inference(resolution,[],[f2656,f60]) ).
fof(f11313,plain,
( spl0_663
| ~ spl0_1
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f2693,f2651,f58,f11311]) ).
fof(f11311,plain,
( spl0_663
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,xa))),smndt0(sdtasdt0(X0,xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f2693,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,xa))),smndt0(sdtasdt0(X0,xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_258 ),
inference(resolution,[],[f2652,f60]) ).
fof(f11309,plain,
( spl0_662
| ~ spl0_1
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f2687,f2642,f58,f11307]) ).
fof(f11307,plain,
( spl0_662
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,xa))),smndt0(sdtpldt0(X0,xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f2687,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,xa))),smndt0(sdtpldt0(X0,xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_256 ),
inference(resolution,[],[f2643,f60]) ).
fof(f11305,plain,
( spl0_661
| ~ spl0_1
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f2681,f2638,f58,f11303]) ).
fof(f11303,plain,
( spl0_661
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,xa)),smndt0(smndt0(sdtasdt0(X0,xa))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f2681,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,xa)),smndt0(smndt0(sdtasdt0(X0,xa))))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_255 ),
inference(resolution,[],[f2639,f60]) ).
fof(f11301,plain,
( spl0_660
| ~ spl0_1
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f6201,f5870,f58,f11298]) ).
fof(f11298,plain,
( spl0_660
<=> sdtasdt0(xa,smndt0(xa)) = sdtasdt0(sdtasdt0(xa,smndt0(xa)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f5870,plain,
( spl0_500
<=> ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtasdt0(sdtasdt0(xa,smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f6201,plain,
( sdtasdt0(xa,smndt0(xa)) = sdtasdt0(sdtasdt0(xa,smndt0(xa)),sz10)
| ~ spl0_1
| ~ spl0_500 ),
inference(resolution,[],[f5871,f60]) ).
fof(f5871,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,smndt0(X0)) = sdtasdt0(sdtasdt0(xa,smndt0(X0)),sz10) )
| ~ spl0_500 ),
inference(avatar_component_clause,[],[f5870]) ).
fof(f11296,plain,
( spl0_659
| ~ spl0_1
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f2675,f2634,f58,f11294]) ).
fof(f11294,plain,
( spl0_659
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,xa)),smndt0(smndt0(sdtpldt0(X0,xa))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f2675,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,xa)),smndt0(smndt0(sdtpldt0(X0,xa))))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_254 ),
inference(resolution,[],[f2635,f60]) ).
fof(f11292,plain,
( spl0_658
| ~ spl0_6
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1642,f1609,f82,f11290]) ).
fof(f11290,plain,
( spl0_658
<=> ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(xa,smndt0(X0)),smndt0(sdtasdt0(xa,smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f1609,plain,
( spl0_165
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(xa,X0),smndt0(sdtasdt0(xa,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1642,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(xa,smndt0(X0)),smndt0(sdtasdt0(xa,smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_165 ),
inference(resolution,[],[f1610,f83]) ).
fof(f1610,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(xa,X0),smndt0(sdtasdt0(xa,X0))) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f11288,plain,
( spl0_657
| ~ spl0_6
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1630,f1605,f82,f11286]) ).
fof(f11286,plain,
( spl0_657
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(xa,smndt0(X0))),sdtasdt0(xa,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f1605,plain,
( spl0_164
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xa,X0)),sdtasdt0(xa,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1630,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(xa,smndt0(X0))),sdtasdt0(xa,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_164 ),
inference(resolution,[],[f1606,f83]) ).
fof(f1606,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xa,X0)),sdtasdt0(xa,X0)) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f11284,plain,
( spl0_656
| ~ spl0_6
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1622,f1601,f82,f11282]) ).
fof(f11282,plain,
( spl0_656
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(xa,smndt0(X0)),smndt0(sdtpldt0(xa,smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f1601,plain,
( spl0_163
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(xa,X0),smndt0(sdtpldt0(xa,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1622,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(xa,smndt0(X0)),smndt0(sdtpldt0(xa,smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_163 ),
inference(resolution,[],[f1602,f83]) ).
fof(f1602,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(xa,X0),smndt0(sdtpldt0(xa,X0))) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f11280,plain,
( spl0_655
| ~ spl0_6
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f1614,f1597,f82,f11278]) ).
fof(f11278,plain,
( spl0_655
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(xa,smndt0(X0))),sdtpldt0(xa,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f1597,plain,
( spl0_162
<=> ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xa,X0)),sdtpldt0(xa,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1614,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(xa,smndt0(X0))),sdtpldt0(xa,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_162 ),
inference(resolution,[],[f1598,f83]) ).
fof(f1598,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xa,X0)),sdtpldt0(xa,X0)) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1597]) ).
fof(f11028,plain,
( spl0_654
| ~ spl0_455
| ~ spl0_486
| ~ spl0_487
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f10878,f9603,f5778,f5773,f4587,f11025]) ).
fof(f11025,plain,
( spl0_654
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f4587,plain,
( spl0_455
<=> aInteger0(sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f5773,plain,
( spl0_486
<=> sdtpldt0(sz10,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f5778,plain,
( spl0_487
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f9603,plain,
( spl0_623
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f10878,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,sz10)))
| ~ spl0_455
| ~ spl0_486
| ~ spl0_487
| ~ spl0_623 ),
inference(forward_demodulation,[],[f10877,f5780]) ).
fof(f5780,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_487 ),
inference(avatar_component_clause,[],[f5778]) ).
fof(f10877,plain,
( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,sz10)))
| ~ spl0_455
| ~ spl0_486
| ~ spl0_623 ),
inference(forward_demodulation,[],[f10866,f5775]) ).
fof(f5775,plain,
( sdtpldt0(sz10,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),sz10)
| ~ spl0_486 ),
inference(avatar_component_clause,[],[f5773]) ).
fof(f10866,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,sz10),sz10),sz00) = sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz10,sz10),sz10))
| ~ spl0_455
| ~ spl0_623 ),
inference(resolution,[],[f9604,f4588]) ).
fof(f4588,plain,
( aInteger0(sdtpldt0(sz10,sz10))
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f4587]) ).
fof(f9604,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz10)) )
| ~ spl0_623 ),
inference(avatar_component_clause,[],[f9603]) ).
fof(f10771,plain,
( spl0_653
| ~ spl0_2
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f6195,f5870,f63,f10768]) ).
fof(f10768,plain,
( spl0_653
<=> sdtasdt0(xa,smndt0(sz10)) = sdtasdt0(sdtasdt0(xa,smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f6195,plain,
( sdtasdt0(xa,smndt0(sz10)) = sdtasdt0(sdtasdt0(xa,smndt0(sz10)),sz10)
| ~ spl0_2
| ~ spl0_500 ),
inference(resolution,[],[f5871,f65]) ).
fof(f10527,plain,
( spl0_652
| ~ spl0_1
| ~ spl0_499 ),
inference(avatar_split_clause,[],[f6192,f5866,f58,f10524]) ).
fof(f10524,plain,
( spl0_652
<=> sdtasdt0(xa,smndt0(xa)) = sdtasdt0(sz10,sdtasdt0(xa,smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f5866,plain,
( spl0_499
<=> ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(xa,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f6192,plain,
( sdtasdt0(xa,smndt0(xa)) = sdtasdt0(sz10,sdtasdt0(xa,smndt0(xa)))
| ~ spl0_1
| ~ spl0_499 ),
inference(resolution,[],[f5867,f60]) ).
fof(f5867,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(xa,smndt0(X0))) )
| ~ spl0_499 ),
inference(avatar_component_clause,[],[f5866]) ).
fof(f10305,plain,
( spl0_651
| ~ spl0_2
| ~ spl0_499 ),
inference(avatar_split_clause,[],[f6186,f5866,f63,f10302]) ).
fof(f10302,plain,
( spl0_651
<=> sdtasdt0(xa,smndt0(sz10)) = sdtasdt0(sz10,sdtasdt0(xa,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f6186,plain,
( sdtasdt0(xa,smndt0(sz10)) = sdtasdt0(sz10,sdtasdt0(xa,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_499 ),
inference(resolution,[],[f5867,f65]) ).
fof(f10117,plain,
( spl0_650
| ~ spl0_2
| ~ spl0_498 ),
inference(avatar_split_clause,[],[f6175,f5862,f63,f10114]) ).
fof(f10114,plain,
( spl0_650
<=> sdtpldt0(xa,smndt0(sz10)) = sdtpldt0(sdtpldt0(xa,smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f5862,plain,
( spl0_498
<=> ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtpldt0(sdtpldt0(xa,smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f6175,plain,
( sdtpldt0(xa,smndt0(sz10)) = sdtpldt0(sdtpldt0(xa,smndt0(sz10)),sz00)
| ~ spl0_2
| ~ spl0_498 ),
inference(resolution,[],[f5863,f65]) ).
fof(f5863,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,smndt0(X0)) = sdtpldt0(sdtpldt0(xa,smndt0(X0)),sz00) )
| ~ spl0_498 ),
inference(avatar_component_clause,[],[f5862]) ).
fof(f9941,plain,
( spl0_649
| ~ spl0_2
| ~ spl0_497 ),
inference(avatar_split_clause,[],[f6164,f5858,f63,f9938]) ).
fof(f9938,plain,
( spl0_649
<=> sdtpldt0(xa,smndt0(sz10)) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f5858,plain,
( spl0_497
<=> ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f6164,plain,
( sdtpldt0(xa,smndt0(sz10)) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_497 ),
inference(resolution,[],[f5859,f65]) ).
fof(f5859,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(X0))) )
| ~ spl0_497 ),
inference(avatar_component_clause,[],[f5858]) ).
fof(f9755,plain,
( spl0_648
| ~ spl0_2
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f6153,f5854,f63,f9752]) ).
fof(f9752,plain,
( spl0_648
<=> sdtpldt0(xa,smndt0(sz10)) = sdtasdt0(sdtpldt0(xa,smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f5854,plain,
( spl0_496
<=> ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtasdt0(sdtpldt0(xa,smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f6153,plain,
( sdtpldt0(xa,smndt0(sz10)) = sdtasdt0(sdtpldt0(xa,smndt0(sz10)),sz10)
| ~ spl0_2
| ~ spl0_496 ),
inference(resolution,[],[f5855,f65]) ).
fof(f5855,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,smndt0(X0)) = sdtasdt0(sdtpldt0(xa,smndt0(X0)),sz10) )
| ~ spl0_496 ),
inference(avatar_component_clause,[],[f5854]) ).
fof(f9705,plain,
( spl0_647
| ~ spl0_2
| ~ spl0_100
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f2842,f2789,f951,f63,f9703]) ).
fof(f9703,plain,
( spl0_647
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f2789,plain,
( spl0_271
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f2842,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_100
| ~ spl0_271 ),
inference(forward_demodulation,[],[f2835,f953]) ).
fof(f2835,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),sz10)) )
| ~ spl0_2
| ~ spl0_271 ),
inference(resolution,[],[f2790,f65]) ).
fof(f2790,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz10)) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f2789]) ).
fof(f9701,plain,
( spl0_646
| ~ spl0_2
| ~ spl0_98
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f2808,f2777,f941,f63,f9699]) ).
fof(f9699,plain,
( spl0_646
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f2777,plain,
( spl0_268
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f2808,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_98
| ~ spl0_268 ),
inference(forward_demodulation,[],[f2801,f943]) ).
fof(f2801,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz00)) )
| ~ spl0_2
| ~ spl0_268 ),
inference(resolution,[],[f2778,f65]) ).
fof(f2778,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz00)) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f2777]) ).
fof(f9696,plain,
( spl0_645
| ~ spl0_3
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2596,f2355,f68,f9694]) ).
fof(f9694,plain,
( spl0_645
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f2355,plain,
( spl0_249
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f2596,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_249 ),
inference(resolution,[],[f2356,f70]) ).
fof(f2356,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aInteger0(X0) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f2355]) ).
fof(f9692,plain,
( spl0_644
| ~ spl0_2
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f2589,f2351,f63,f9690]) ).
fof(f9690,plain,
( spl0_644
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtasdt0(sdtpldt0(sz10,sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f2351,plain,
( spl0_248
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f2589,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtasdt0(sdtpldt0(sz10,sz10),X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_248 ),
inference(resolution,[],[f2352,f65]) ).
fof(f2352,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aInteger0(X0) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f9687,plain,
( spl0_643
| ~ spl0_3
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f2562,f2339,f68,f9685]) ).
fof(f9685,plain,
( spl0_643
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(sz00,sz00)) = sdtpldt0(sdtasdt0(sz00,sz00),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f2339,plain,
( spl0_245
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f2562,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(sz00,sz00)) = sdtpldt0(sdtasdt0(sz00,sz00),X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_245 ),
inference(resolution,[],[f2340,f70]) ).
fof(f2340,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aInteger0(X0) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f9683,plain,
( spl0_642
| ~ spl0_2
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f2555,f2335,f63,f9681]) ).
fof(f9681,plain,
( spl0_642
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f2335,plain,
( spl0_244
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f2555,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_244 ),
inference(resolution,[],[f2336,f65]) ).
fof(f2336,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aInteger0(X0) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f9679,plain,
( spl0_641
| ~ spl0_2
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f2538,f2327,f63,f9677]) ).
fof(f9677,plain,
( spl0_641
<=> ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f2327,plain,
( spl0_242
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f2538,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_242 ),
inference(resolution,[],[f2328,f65]) ).
fof(f2328,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aInteger0(X0) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f9675,plain,
( spl0_640
| ~ spl0_2
| ~ spl0_494 ),
inference(avatar_split_clause,[],[f6142,f5845,f63,f9672]) ).
fof(f9672,plain,
( spl0_640
<=> sdtpldt0(xa,smndt0(sz10)) = sdtasdt0(sz10,sdtpldt0(xa,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f5845,plain,
( spl0_494
<=> ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(xa,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f6142,plain,
( sdtpldt0(xa,smndt0(sz10)) = sdtasdt0(sz10,sdtpldt0(xa,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_494 ),
inference(resolution,[],[f5846,f65]) ).
fof(f5846,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(xa,smndt0(X0))) )
| ~ spl0_494 ),
inference(avatar_component_clause,[],[f5845]) ).
fof(f9670,plain,
( spl0_639
| ~ spl0_2
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f2530,f2322,f63,f9668]) ).
fof(f9668,plain,
( spl0_639
<=> ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(sz10))) = sdtpldt0(smndt0(smndt0(sz10)),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f2322,plain,
( spl0_241
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2530,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(sz10))) = sdtpldt0(smndt0(smndt0(sz10)),X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_241 ),
inference(resolution,[],[f2323,f65]) ).
fof(f2323,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aInteger0(X0) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f2322]) ).
fof(f9666,plain,
( spl0_638
| ~ spl0_2
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f2523,f2318,f63,f9664]) ).
fof(f9664,plain,
( spl0_638
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f2318,plain,
( spl0_240
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2523,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_240 ),
inference(resolution,[],[f2319,f65]) ).
fof(f2319,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X0) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f2318]) ).
fof(f9662,plain,
( spl0_637
| ~ spl0_2
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f2516,f2314,f63,f9660]) ).
fof(f9660,plain,
( spl0_637
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f2314,plain,
( spl0_239
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2516,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_239 ),
inference(resolution,[],[f2315,f65]) ).
fof(f2315,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X0) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f2314]) ).
fof(f9658,plain,
( spl0_636
| ~ spl0_2
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2509,f2310,f63,f9656]) ).
fof(f9656,plain,
( spl0_636
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f2310,plain,
( spl0_238
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz10)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f2509,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_238 ),
inference(resolution,[],[f2311,f65]) ).
fof(f2311,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz10)
| ~ aInteger0(X0) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f2310]) ).
fof(f9654,plain,
( spl0_635
| ~ spl0_2
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f2502,f2306,f63,f9652]) ).
fof(f9652,plain,
( spl0_635
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f2306,plain,
( spl0_237
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f2502,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_237 ),
inference(resolution,[],[f2307,f65]) ).
fof(f2307,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X0) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f2306]) ).
fof(f9650,plain,
( spl0_634
| ~ spl0_2
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f2495,f2302,f63,f9648]) ).
fof(f9648,plain,
( spl0_634
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f2302,plain,
( spl0_236
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f2495,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_236 ),
inference(resolution,[],[f2303,f65]) ).
fof(f2303,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X0) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f2302]) ).
fof(f9646,plain,
( spl0_633
| ~ spl0_2
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f2483,f2298,f63,f9644]) ).
fof(f9644,plain,
( spl0_633
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f2298,plain,
( spl0_235
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f2483,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_235 ),
inference(resolution,[],[f2299,f65]) ).
fof(f2299,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X0) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f2298]) ).
fof(f9642,plain,
( spl0_632
| ~ spl0_2
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f2476,f2294,f63,f9640]) ).
fof(f9640,plain,
( spl0_632
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f2294,plain,
( spl0_234
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz10)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f2476,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_234 ),
inference(resolution,[],[f2295,f65]) ).
fof(f2295,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz10)
| ~ aInteger0(X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f9638,plain,
( spl0_631
| ~ spl0_2
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2469,f2290,f63,f9636]) ).
fof(f9636,plain,
( spl0_631
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f2290,plain,
( spl0_233
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2469,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_233 ),
inference(resolution,[],[f2291,f65]) ).
fof(f2291,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X0) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f9634,plain,
( spl0_630
| ~ spl0_2
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f2463,f2286,f63,f9632]) ).
fof(f9632,plain,
( spl0_630
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f2286,plain,
( spl0_232
<=> ! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f2463,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_232 ),
inference(resolution,[],[f2287,f65]) ).
fof(f2287,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aInteger0(X0) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f9630,plain,
( spl0_629
| ~ spl0_1
| ~ spl0_493 ),
inference(avatar_split_clause,[],[f6138,f5841,f58,f9627]) ).
fof(f9627,plain,
( spl0_629
<=> sdtasdt0(smndt0(smndt0(xa)),xa) = sdtasdt0(xa,smndt0(smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f5841,plain,
( spl0_493
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xa) = sdtasdt0(xa,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f6138,plain,
( sdtasdt0(smndt0(smndt0(xa)),xa) = sdtasdt0(xa,smndt0(smndt0(xa)))
| ~ spl0_1
| ~ spl0_493 ),
inference(resolution,[],[f5842,f60]) ).
fof(f5842,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(smndt0(X0)),xa) = sdtasdt0(xa,smndt0(smndt0(X0))) )
| ~ spl0_493 ),
inference(avatar_component_clause,[],[f5841]) ).
fof(f9625,plain,
( spl0_628
| ~ spl0_3
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f2462,f2286,f68,f9623]) ).
fof(f9623,plain,
( spl0_628
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f2462,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_232 ),
inference(resolution,[],[f2287,f70]) ).
fof(f9621,plain,
( spl0_627
| ~ spl0_2
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f2457,f2277,f63,f9619]) ).
fof(f9619,plain,
( spl0_627
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f2277,plain,
( spl0_230
<=> ! [X0,X1] :
( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f2457,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_230 ),
inference(resolution,[],[f2278,f65]) ).
fof(f2278,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X0) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f9617,plain,
( spl0_626
| ~ spl0_3
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f2456,f2277,f68,f9615]) ).
fof(f9615,plain,
( spl0_626
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f2456,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_230 ),
inference(resolution,[],[f2278,f70]) ).
fof(f9613,plain,
( spl0_625
| ~ spl0_2
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f2451,f2273,f63,f9611]) ).
fof(f9611,plain,
( spl0_625
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f2273,plain,
( spl0_229
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f2451,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_229 ),
inference(resolution,[],[f2274,f65]) ).
fof(f2274,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f9609,plain,
( spl0_624
| ~ spl0_3
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f2450,f2273,f68,f9607]) ).
fof(f9607,plain,
( spl0_624
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f2450,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_229 ),
inference(resolution,[],[f2274,f70]) ).
fof(f9605,plain,
( spl0_623
| ~ spl0_2
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2445,f2269,f63,f9603]) ).
fof(f2269,plain,
( spl0_228
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f2445,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_228 ),
inference(resolution,[],[f2270,f65]) ).
fof(f2270,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f2269]) ).
fof(f9601,plain,
( spl0_622
| ~ spl0_3
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2444,f2269,f68,f9599]) ).
fof(f9599,plain,
( spl0_622
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f2444,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_228 ),
inference(resolution,[],[f2270,f70]) ).
fof(f9597,plain,
( spl0_621
| ~ spl0_2
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2439,f2265,f63,f9595]) ).
fof(f9595,plain,
( spl0_621
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f2265,plain,
( spl0_227
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f2439,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_227 ),
inference(resolution,[],[f2266,f65]) ).
fof(f2266,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f2265]) ).
fof(f9593,plain,
( spl0_620
| ~ spl0_3
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2438,f2265,f68,f9591]) ).
fof(f9591,plain,
( spl0_620
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f2438,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_227 ),
inference(resolution,[],[f2266,f70]) ).
fof(f9589,plain,
( spl0_619
| ~ spl0_2
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2433,f2261,f63,f9587]) ).
fof(f9587,plain,
( spl0_619
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f2261,plain,
( spl0_226
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f2433,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_226 ),
inference(resolution,[],[f2262,f65]) ).
fof(f2262,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aInteger0(X0) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f9585,plain,
( spl0_618
| ~ spl0_2
| ~ spl0_493 ),
inference(avatar_split_clause,[],[f6132,f5841,f63,f9582]) ).
fof(f9582,plain,
( spl0_618
<=> sdtasdt0(smndt0(smndt0(sz10)),xa) = sdtasdt0(xa,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f6132,plain,
( sdtasdt0(smndt0(smndt0(sz10)),xa) = sdtasdt0(xa,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_493 ),
inference(resolution,[],[f5842,f65]) ).
fof(f9580,plain,
( spl0_617
| ~ spl0_3
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2432,f2261,f68,f9578]) ).
fof(f9578,plain,
( spl0_617
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f2432,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_226 ),
inference(resolution,[],[f2262,f70]) ).
fof(f9576,plain,
( spl0_616
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f2427,f2257,f63,f9574]) ).
fof(f9574,plain,
( spl0_616
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f2257,plain,
( spl0_225
<=> ! [X0,X1] :
( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2427,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_225 ),
inference(resolution,[],[f2258,f65]) ).
fof(f2258,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aInteger0(X0) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f2257]) ).
fof(f9572,plain,
( spl0_615
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f2426,f2257,f68,f9570]) ).
fof(f9570,plain,
( spl0_615
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f2426,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_225 ),
inference(resolution,[],[f2258,f70]) ).
fof(f9568,plain,
( spl0_614
| ~ spl0_2
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f2420,f2253,f63,f9566]) ).
fof(f9566,plain,
( spl0_614
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f2253,plain,
( spl0_224
<=> ! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2420,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_224 ),
inference(resolution,[],[f2254,f65]) ).
fof(f2254,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aInteger0(X0) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f9564,plain,
( spl0_613
| ~ spl0_3
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f2419,f2253,f68,f9562]) ).
fof(f9562,plain,
( spl0_613
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f2419,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_224 ),
inference(resolution,[],[f2254,f70]) ).
fof(f9560,plain,
( spl0_612
| ~ spl0_2
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2414,f2249,f63,f9558]) ).
fof(f9558,plain,
( spl0_612
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f2249,plain,
( spl0_223
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2414,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_223 ),
inference(resolution,[],[f2250,f65]) ).
fof(f2250,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X0) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f9556,plain,
( spl0_611
| ~ spl0_3
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2413,f2249,f68,f9554]) ).
fof(f9554,plain,
( spl0_611
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz00)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f2413,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz00)))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_223 ),
inference(resolution,[],[f2250,f70]) ).
fof(f9552,plain,
( spl0_610
| ~ spl0_2
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2408,f2245,f63,f9550]) ).
fof(f9550,plain,
( spl0_610
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f2245,plain,
( spl0_222
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f2408,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_222 ),
inference(resolution,[],[f2246,f65]) ).
fof(f2246,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X0) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f9548,plain,
( spl0_609
| ~ spl0_3
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2407,f2245,f68,f9546]) ).
fof(f9546,plain,
( spl0_609
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz00)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f2407,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz00)))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_222 ),
inference(resolution,[],[f2246,f70]) ).
fof(f9544,plain,
( spl0_608
| ~ spl0_2
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2402,f2241,f63,f9542]) ).
fof(f9542,plain,
( spl0_608
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sdtasdt0(X0,sz10)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f2241,plain,
( spl0_221
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2402,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sdtasdt0(X0,sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_221 ),
inference(resolution,[],[f2242,f65]) ).
fof(f2242,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f9540,plain,
( spl0_607
| ~ spl0_1
| ~ spl0_492 ),
inference(avatar_split_clause,[],[f6127,f5837,f58,f9537]) ).
fof(f9537,plain,
( spl0_607
<=> sdtpldt0(smndt0(smndt0(xa)),xa) = sdtpldt0(xa,smndt0(smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f5837,plain,
( spl0_492
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xa) = sdtpldt0(xa,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f6127,plain,
( sdtpldt0(smndt0(smndt0(xa)),xa) = sdtpldt0(xa,smndt0(smndt0(xa)))
| ~ spl0_1
| ~ spl0_492 ),
inference(resolution,[],[f5838,f60]) ).
fof(f5838,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(smndt0(X0)),xa) = sdtpldt0(xa,smndt0(smndt0(X0))) )
| ~ spl0_492 ),
inference(avatar_component_clause,[],[f5837]) ).
fof(f9535,plain,
( spl0_606
| ~ spl0_3
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2401,f2241,f68,f9533]) ).
fof(f9533,plain,
( spl0_606
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sdtasdt0(X0,sz00)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f2401,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sdtasdt0(X0,sz00)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_221 ),
inference(resolution,[],[f2242,f70]) ).
fof(f9531,plain,
( spl0_605
| ~ spl0_2
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f2396,f2232,f63,f9529]) ).
fof(f9529,plain,
( spl0_605
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sdtpldt0(X0,sz10)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f2232,plain,
( spl0_219
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2396,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sdtpldt0(X0,sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_219 ),
inference(resolution,[],[f2233,f65]) ).
fof(f2233,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f2232]) ).
fof(f9527,plain,
( spl0_604
| ~ spl0_3
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f2395,f2232,f68,f9525]) ).
fof(f9525,plain,
( spl0_604
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sdtpldt0(X0,sz00)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f2395,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sdtpldt0(X0,sz00)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_219 ),
inference(resolution,[],[f2233,f70]) ).
fof(f9523,plain,
( spl0_603
| ~ spl0_2
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2390,f2228,f63,f9521]) ).
fof(f9521,plain,
( spl0_603
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f2228,plain,
( spl0_218
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2390,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_218 ),
inference(resolution,[],[f2229,f65]) ).
fof(f2229,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X0) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f2228]) ).
fof(f9519,plain,
( spl0_602
| ~ spl0_3
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2389,f2228,f68,f9517]) ).
fof(f9517,plain,
( spl0_602
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz00)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f2389,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz00)))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_218 ),
inference(resolution,[],[f2229,f70]) ).
fof(f9515,plain,
( spl0_601
| ~ spl0_2
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2384,f2224,f63,f9513]) ).
fof(f9513,plain,
( spl0_601
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz10)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f2224,plain,
( spl0_217
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2384,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz10)))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_217 ),
inference(resolution,[],[f2225,f65]) ).
fof(f2225,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X0) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f2224]) ).
fof(f9511,plain,
( spl0_600
| ~ spl0_3
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2383,f2224,f68,f9509]) ).
fof(f9509,plain,
( spl0_600
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz00)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f2383,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz00)))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_217 ),
inference(resolution,[],[f2225,f70]) ).
fof(f9507,plain,
( spl0_599
| ~ spl0_2
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2378,f2220,f63,f9505]) ).
fof(f9505,plain,
( spl0_599
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(smndt0(sdtasdt0(X0,sz10)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f2220,plain,
( spl0_216
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f2378,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(smndt0(sdtasdt0(X0,sz10)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_216 ),
inference(resolution,[],[f2221,f65]) ).
fof(f2221,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f9503,plain,
( spl0_598
| ~ spl0_3
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2377,f2220,f68,f9501]) ).
fof(f9501,plain,
( spl0_598
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(smndt0(sdtasdt0(X0,sz00)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f2377,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(smndt0(sdtasdt0(X0,sz00)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_216 ),
inference(resolution,[],[f2221,f70]) ).
fof(f9499,plain,
( spl0_597
| ~ spl0_2
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2372,f2216,f63,f9497]) ).
fof(f9497,plain,
( spl0_597
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(smndt0(sdtpldt0(X0,sz10)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f2216,plain,
( spl0_215
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2372,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(smndt0(sdtpldt0(X0,sz10)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_215 ),
inference(resolution,[],[f2217,f65]) ).
fof(f2217,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f9495,plain,
( spl0_596
| ~ spl0_2
| ~ spl0_492 ),
inference(avatar_split_clause,[],[f6121,f5837,f63,f9492]) ).
fof(f9492,plain,
( spl0_596
<=> sdtpldt0(smndt0(smndt0(sz10)),xa) = sdtpldt0(xa,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f6121,plain,
( sdtpldt0(smndt0(smndt0(sz10)),xa) = sdtpldt0(xa,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_492 ),
inference(resolution,[],[f5838,f65]) ).
fof(f9490,plain,
( spl0_595
| ~ spl0_3
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2371,f2216,f68,f9488]) ).
fof(f9488,plain,
( spl0_595
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(smndt0(sdtpldt0(X0,sz00)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f2371,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(smndt0(sdtpldt0(X0,sz00)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_215 ),
inference(resolution,[],[f2217,f70]) ).
fof(f9486,plain,
( spl0_594
| ~ spl0_6
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1589,f1320,f82,f9484]) ).
fof(f9484,plain,
( spl0_594
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f1320,plain,
( spl0_158
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1589,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_158 ),
inference(resolution,[],[f1321,f83]) ).
fof(f1321,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f9482,plain,
( spl0_593
| ~ spl0_6
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1582,f1311,f82,f9480]) ).
fof(f9480,plain,
( spl0_593
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f1311,plain,
( spl0_156
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1582,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_156 ),
inference(resolution,[],[f1312,f83]) ).
fof(f1312,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f9478,plain,
( spl0_592
| ~ spl0_6
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1576,f1307,f82,f9476]) ).
fof(f9476,plain,
( spl0_592
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f1307,plain,
( spl0_155
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1576,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_155 ),
inference(resolution,[],[f1308,f83]) ).
fof(f1308,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f9474,plain,
( spl0_591
| ~ spl0_6
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1565,f1303,f82,f9472]) ).
fof(f9472,plain,
( spl0_591
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f1303,plain,
( spl0_154
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1565,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_154 ),
inference(resolution,[],[f1304,f83]) ).
fof(f1304,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f9470,plain,
( spl0_590
| ~ spl0_6
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1557,f1299,f82,f9468]) ).
fof(f9468,plain,
( spl0_590
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f1299,plain,
( spl0_153
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1557,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_153 ),
inference(resolution,[],[f1300,f83]) ).
fof(f1300,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f9466,plain,
( spl0_589
| ~ spl0_6
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1548,f1295,f82,f9464]) ).
fof(f9464,plain,
( spl0_589
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f1295,plain,
( spl0_152
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1548,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_152 ),
inference(resolution,[],[f1296,f83]) ).
fof(f1296,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f9462,plain,
( spl0_588
| ~ spl0_6
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1541,f1291,f82,f9460]) ).
fof(f9460,plain,
( spl0_588
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f1291,plain,
( spl0_151
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(smndt0(sz10),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1541,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_151 ),
inference(resolution,[],[f1292,f83]) ).
fof(f1292,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f9458,plain,
( spl0_587
| ~ spl0_6
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1533,f1287,f82,f9456]) ).
fof(f9456,plain,
( spl0_587
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f1287,plain,
( spl0_150
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1533,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_150 ),
inference(resolution,[],[f1288,f83]) ).
fof(f1288,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f9454,plain,
( spl0_586
| ~ spl0_6
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1524,f1283,f82,f9452]) ).
fof(f9452,plain,
( spl0_586
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sdtasdt0(sz10,smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f1283,plain,
( spl0_149
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1524,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sdtasdt0(sz10,smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_149 ),
inference(resolution,[],[f1284,f83]) ).
fof(f1284,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f8840,plain,
( spl0_585
| ~ spl0_6
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1516,f1279,f82,f8838]) ).
fof(f8838,plain,
( spl0_585
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sdtasdt0(sz00,smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f1279,plain,
( spl0_148
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1516,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sdtasdt0(sz00,smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_148 ),
inference(resolution,[],[f1280,f83]) ).
fof(f1280,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f8836,plain,
( spl0_584
| ~ spl0_6
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1507,f1275,f82,f8834]) ).
fof(f8834,plain,
( spl0_584
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f1275,plain,
( spl0_147
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1507,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_147 ),
inference(resolution,[],[f1276,f83]) ).
fof(f1276,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f8832,plain,
( spl0_583
| ~ spl0_6
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1499,f1266,f82,f8830]) ).
fof(f8830,plain,
( spl0_583
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f1266,plain,
( spl0_145
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1499,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_145 ),
inference(resolution,[],[f1267,f83]) ).
fof(f1267,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f8828,plain,
( spl0_582
| ~ spl0_6
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1490,f1262,f82,f8826]) ).
fof(f8826,plain,
( spl0_582
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sdtasdt0(sz10,smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f1262,plain,
( spl0_144
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1490,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sdtasdt0(sz10,smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_144 ),
inference(resolution,[],[f1263,f83]) ).
fof(f1263,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f8824,plain,
( spl0_581
| ~ spl0_6
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1477,f1258,f82,f8822]) ).
fof(f8822,plain,
( spl0_581
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sdtasdt0(sz00,smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f1258,plain,
( spl0_143
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1477,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sdtasdt0(sz00,smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_143 ),
inference(resolution,[],[f1259,f83]) ).
fof(f1259,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f8820,plain,
( spl0_580
| ~ spl0_6
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1468,f1254,f82,f8818]) ).
fof(f8818,plain,
( spl0_580
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1254,plain,
( spl0_142
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1468,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_142 ),
inference(resolution,[],[f1255,f83]) ).
fof(f1255,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f8816,plain,
( spl0_579
| ~ spl0_6
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1460,f1250,f82,f8814]) ).
fof(f8814,plain,
( spl0_579
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f1250,plain,
( spl0_141
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1460,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_141 ),
inference(resolution,[],[f1251,f83]) ).
fof(f1251,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f8812,plain,
( spl0_578
| ~ spl0_6
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1453,f1246,f82,f8810]) ).
fof(f8810,plain,
( spl0_578
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sdtpldt0(sz10,smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f1246,plain,
( spl0_140
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1453,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sdtpldt0(sz10,smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_140 ),
inference(resolution,[],[f1247,f83]) ).
fof(f1247,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f8808,plain,
( spl0_577
| ~ spl0_6
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1444,f1242,f82,f8806]) ).
fof(f8806,plain,
( spl0_577
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f1242,plain,
( spl0_139
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1444,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_139 ),
inference(resolution,[],[f1243,f83]) ).
fof(f1243,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f8804,plain,
( spl0_576
| ~ spl0_6
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1437,f1238,f82,f8802]) ).
fof(f8802,plain,
( spl0_576
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f1238,plain,
( spl0_138
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1437,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_138 ),
inference(resolution,[],[f1239,f83]) ).
fof(f1239,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f8190,plain,
( spl0_575
| ~ spl0_6
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1428,f1234,f82,f8188]) ).
fof(f8188,plain,
( spl0_575
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f1234,plain,
( spl0_137
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1428,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_137 ),
inference(resolution,[],[f1235,f83]) ).
fof(f1235,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f8186,plain,
( spl0_574
| ~ spl0_6
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1421,f1230,f82,f8184]) ).
fof(f8184,plain,
( spl0_574
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sdtpldt0(sz10,smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f1230,plain,
( spl0_136
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1421,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sdtpldt0(sz10,smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_136 ),
inference(resolution,[],[f1231,f83]) ).
fof(f1231,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f8182,plain,
( spl0_573
| ~ spl0_6
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1412,f1221,f82,f8180]) ).
fof(f8180,plain,
( spl0_573
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sdtpldt0(sz00,smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f1221,plain,
( spl0_134
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1412,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sdtpldt0(sz00,smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_134 ),
inference(resolution,[],[f1222,f83]) ).
fof(f1222,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f8178,plain,
( spl0_572
| ~ spl0_6
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1405,f1217,f82,f8176]) ).
fof(f8176,plain,
( spl0_572
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f1217,plain,
( spl0_133
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1405,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz10,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_133 ),
inference(resolution,[],[f1218,f83]) ).
fof(f1218,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f8174,plain,
( spl0_571
| ~ spl0_6
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1391,f1213,f82,f8172]) ).
fof(f8172,plain,
( spl0_571
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f1213,plain,
( spl0_132
<=> ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1391,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz00,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_132 ),
inference(resolution,[],[f1214,f83]) ).
fof(f1214,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f8170,plain,
( spl0_570
| ~ spl0_6
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1381,f1209,f82,f8168]) ).
fof(f8168,plain,
( spl0_570
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz10) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f1209,plain,
( spl0_131
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1381,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz10) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_131 ),
inference(resolution,[],[f1210,f83]) ).
fof(f1210,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0)) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f8166,plain,
( spl0_569
| ~ spl0_6
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1375,f1205,f82,f8164]) ).
fof(f8164,plain,
( spl0_569
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz00) = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f1375,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz00) = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_130 ),
inference(resolution,[],[f1206,f83]) ).
fof(f8162,plain,
( spl0_568
| ~ spl0_6
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1366,f1201,f82,f8160]) ).
fof(f8160,plain,
( spl0_568
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz10) = sdtpldt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f1201,plain,
( spl0_129
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1366,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz10) = sdtpldt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_129 ),
inference(resolution,[],[f1202,f83]) ).
fof(f1202,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0)) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f8158,plain,
( spl0_567
| ~ spl0_6
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1357,f1197,f82,f8156]) ).
fof(f8156,plain,
( spl0_567
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz00) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f1197,plain,
( spl0_128
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1357,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz00) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_128 ),
inference(resolution,[],[f1198,f83]) ).
fof(f1198,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0)) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f8154,plain,
( spl0_566
| ~ spl0_6
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1349,f1193,f82,f8152]) ).
fof(f8152,plain,
( spl0_566
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(sz10,smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f1193,plain,
( spl0_127
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1349,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(sz10,smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_127 ),
inference(resolution,[],[f1194,f83]) ).
fof(f1194,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0))) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f8150,plain,
( ~ spl0_1
| ~ spl0_14
| spl0_561 ),
inference(avatar_split_clause,[],[f8045,f7868,f130,f58]) ).
fof(f7868,plain,
( spl0_561
<=> aInteger0(sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f8045,plain,
( ~ aInteger0(xa)
| ~ spl0_14
| spl0_561 ),
inference(duplicate_literal_removal,[],[f8044]) ).
fof(f8044,plain,
( ~ aInteger0(xa)
| ~ aInteger0(xa)
| ~ spl0_14
| spl0_561 ),
inference(resolution,[],[f7870,f131]) ).
fof(f7870,plain,
( ~ aInteger0(sdtasdt0(xa,xa))
| spl0_561 ),
inference(avatar_component_clause,[],[f7868]) ).
fof(f8149,plain,
( spl0_565
| ~ spl0_6
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1341,f1189,f82,f8147]) ).
fof(f8147,plain,
( spl0_565
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(smndt0(X0))),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f1189,plain,
( spl0_126
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1341,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(smndt0(X0))),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_126 ),
inference(resolution,[],[f1190,f83]) ).
fof(f1190,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f8145,plain,
( spl0_564
| ~ spl0_6
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1333,f1185,f82,f8143]) ).
fof(f8143,plain,
( spl0_564
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(sz00,smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f1185,plain,
( spl0_125
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1333,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(sz00,smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_125 ),
inference(resolution,[],[f1186,f83]) ).
fof(f1186,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0))) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f8141,plain,
( spl0_563
| ~ spl0_6
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1325,f1176,f82,f8139]) ).
fof(f8139,plain,
( spl0_563
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(smndt0(smndt0(smndt0(X0))),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f1176,plain,
( spl0_123
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1325,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(smndt0(smndt0(smndt0(X0))),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_123 ),
inference(resolution,[],[f1177,f83]) ).
fof(f1177,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f7875,plain,
( ~ spl0_561
| spl0_562
| ~ spl0_13
| ~ spl0_522 ),
inference(avatar_split_clause,[],[f7019,f5960,f126,f7872,f7868]) ).
fof(f7872,plain,
( spl0_562
<=> aInteger0(sdtasdt0(xa,sdtpldt0(xa,xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f5960,plain,
( spl0_522
<=> sdtasdt0(xa,sdtpldt0(xa,xa)) = sdtpldt0(sdtasdt0(xa,xa),sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f7019,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xa,xa)))
| ~ aInteger0(sdtasdt0(xa,xa))
| ~ spl0_13
| ~ spl0_522 ),
inference(duplicate_literal_removal,[],[f7018]) ).
fof(f7018,plain,
( aInteger0(sdtasdt0(xa,sdtpldt0(xa,xa)))
| ~ aInteger0(sdtasdt0(xa,xa))
| ~ aInteger0(sdtasdt0(xa,xa))
| ~ spl0_13
| ~ spl0_522 ),
inference(superposition,[],[f127,f5962]) ).
fof(f5962,plain,
( sdtasdt0(xa,sdtpldt0(xa,xa)) = sdtpldt0(sdtasdt0(xa,xa),sdtasdt0(xa,xa))
| ~ spl0_522 ),
inference(avatar_component_clause,[],[f5960]) ).
fof(f6315,plain,
( ~ spl0_2
| ~ spl0_1
| ~ spl0_13
| spl0_547 ),
inference(avatar_split_clause,[],[f6111,f6063,f126,f58,f63]) ).
fof(f6111,plain,
( ~ aInteger0(xa)
| ~ aInteger0(sz10)
| ~ spl0_13
| spl0_547 ),
inference(resolution,[],[f6065,f127]) ).
fof(f6065,plain,
( ~ aInteger0(sdtpldt0(sz10,xa))
| spl0_547 ),
inference(avatar_component_clause,[],[f6063]) ).
fof(f6119,plain,
( spl0_560
| ~ spl0_1
| ~ spl0_84
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f2843,f2789,f750,f58,f6117]) ).
fof(f6117,plain,
( spl0_560
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xa)) = sdtasdt0(sdtasdt0(X0,smndt0(xa)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f2843,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xa)) = sdtasdt0(sdtasdt0(X0,smndt0(xa)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_84
| ~ spl0_271 ),
inference(forward_demodulation,[],[f2839,f752]) ).
fof(f2839,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(xa)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(xa),sz10)) )
| ~ spl0_1
| ~ spl0_271 ),
inference(resolution,[],[f2790,f60]) ).
fof(f6115,plain,
( spl0_559
| ~ spl0_1
| ~ spl0_69
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f2809,f2777,f634,f58,f6113]) ).
fof(f6113,plain,
( spl0_559
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xa)) = sdtpldt0(sdtpldt0(X0,smndt0(xa)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f2809,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xa)) = sdtpldt0(sdtpldt0(X0,smndt0(xa)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_69
| ~ spl0_268 ),
inference(forward_demodulation,[],[f2805,f636]) ).
fof(f2805,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xa)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(xa),sz00)) )
| ~ spl0_1
| ~ spl0_268 ),
inference(resolution,[],[f2778,f60]) ).
fof(f6110,plain,
( spl0_558
| ~ spl0_1
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f2542,f2327,f58,f6108]) ).
fof(f6108,plain,
( spl0_558
<=> ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(xa))) = sdtasdt0(smndt0(smndt0(xa)),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f2542,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(xa))) = sdtasdt0(smndt0(smndt0(xa)),X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_242 ),
inference(resolution,[],[f2328,f60]) ).
fof(f6106,plain,
( spl0_557
| ~ spl0_1
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f2534,f2322,f58,f6104]) ).
fof(f6104,plain,
( spl0_557
<=> ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(xa))) = sdtpldt0(smndt0(smndt0(xa)),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f2534,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(xa))) = sdtpldt0(smndt0(smndt0(xa)),X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_241 ),
inference(resolution,[],[f2323,f60]) ).
fof(f6102,plain,
( spl0_556
| ~ spl0_1
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f2527,f2318,f58,f6100]) ).
fof(f6100,plain,
( spl0_556
<=> ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtpldt0(sdtasdt0(smndt0(xa),X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f2527,plain,
( ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtpldt0(sdtasdt0(smndt0(xa),X0),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_240 ),
inference(resolution,[],[f2319,f60]) ).
fof(f6098,plain,
( spl0_555
| ~ spl0_1
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f2520,f2314,f58,f6096]) ).
fof(f6096,plain,
( spl0_555
<=> ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(xa),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f2520,plain,
( ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(xa),X0))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_239 ),
inference(resolution,[],[f2315,f60]) ).
fof(f6094,plain,
( spl0_554
| ~ spl0_1
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2513,f2310,f58,f6092]) ).
fof(f6092,plain,
( spl0_554
<=> ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtasdt0(sdtasdt0(smndt0(xa),X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f2513,plain,
( ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtasdt0(sdtasdt0(smndt0(xa),X0),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_238 ),
inference(resolution,[],[f2311,f60]) ).
fof(f6090,plain,
( spl0_553
| ~ spl0_1
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f2506,f2306,f58,f6088]) ).
fof(f6088,plain,
( spl0_553
<=> ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(xa),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f2506,plain,
( ! [X0] :
( sdtasdt0(smndt0(xa),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(xa),X0))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_237 ),
inference(resolution,[],[f2307,f60]) ).
fof(f6086,plain,
( spl0_552
| ~ spl0_1
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f2499,f2302,f58,f6084]) ).
fof(f6084,plain,
( spl0_552
<=> ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtpldt0(sdtpldt0(smndt0(xa),X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f2499,plain,
( ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtpldt0(sdtpldt0(smndt0(xa),X0),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_236 ),
inference(resolution,[],[f2303,f60]) ).
fof(f6082,plain,
( spl0_551
| ~ spl0_1
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f2487,f2298,f58,f6080]) ).
fof(f6080,plain,
( spl0_551
<=> ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(xa),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f2487,plain,
( ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(xa),X0))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_235 ),
inference(resolution,[],[f2299,f60]) ).
fof(f6078,plain,
( spl0_550
| ~ spl0_1
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f2480,f2294,f58,f6076]) ).
fof(f6076,plain,
( spl0_550
<=> ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtasdt0(sdtpldt0(smndt0(xa),X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f2480,plain,
( ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtasdt0(sdtpldt0(smndt0(xa),X0),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_234 ),
inference(resolution,[],[f2295,f60]) ).
fof(f6074,plain,
( spl0_549
| ~ spl0_1
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2473,f2290,f58,f6072]) ).
fof(f6072,plain,
( spl0_549
<=> ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(xa),X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f2473,plain,
( ! [X0] :
( sdtpldt0(smndt0(xa),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(xa),X0))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_233 ),
inference(resolution,[],[f2291,f60]) ).
fof(f6070,plain,
( ~ spl0_547
| ~ spl0_3
| spl0_548
| ~ spl0_14
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f4396,f4149,f130,f6067,f68,f6063]) ).
fof(f6067,plain,
( spl0_548
<=> aInteger0(sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f4149,plain,
( spl0_400
<=> sdtasdt0(xa,sz00) = sdtasdt0(sdtpldt0(sz10,xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f4396,plain,
( aInteger0(sdtasdt0(xa,sz00))
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(sz10,xa))
| ~ spl0_14
| ~ spl0_400 ),
inference(superposition,[],[f131,f4151]) ).
fof(f4151,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sdtpldt0(sz10,xa),sz00)
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f4149]) ).
fof(f6061,plain,
( spl0_546
| ~ spl0_1
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f2467,f2286,f58,f6059]) ).
fof(f6059,plain,
( spl0_546
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xa),sz10) = sdtasdt0(sz10,sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f2467,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xa),sz10) = sdtasdt0(sz10,sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_232 ),
inference(resolution,[],[f2287,f60]) ).
fof(f6057,plain,
( spl0_545
| ~ spl0_1
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f2461,f2277,f58,f6055]) ).
fof(f6055,plain,
( spl0_545
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz10) = sdtasdt0(sz10,sdtpldt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f2461,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz10) = sdtasdt0(sz10,sdtpldt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_230 ),
inference(resolution,[],[f2278,f60]) ).
fof(f6053,plain,
( spl0_544
| ~ spl0_1
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f2455,f2273,f58,f6051]) ).
fof(f6051,plain,
( spl0_544
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xa),sz00) = sdtasdt0(sz00,sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f2455,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xa),sz00) = sdtasdt0(sz00,sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_229 ),
inference(resolution,[],[f2274,f60]) ).
fof(f6049,plain,
( spl0_543
| ~ spl0_1
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f2449,f2269,f58,f6047]) ).
fof(f6047,plain,
( spl0_543
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f2449,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_228 ),
inference(resolution,[],[f2270,f60]) ).
fof(f6045,plain,
( spl0_542
| ~ spl0_1
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2443,f2265,f58,f6043]) ).
fof(f6043,plain,
( spl0_542
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xa),sz10) = sdtpldt0(sz10,sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f2443,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xa),sz10) = sdtpldt0(sz10,sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_227 ),
inference(resolution,[],[f2266,f60]) ).
fof(f6041,plain,
( spl0_541
| ~ spl0_1
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f2437,f2261,f58,f6039]) ).
fof(f6039,plain,
( spl0_541
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),sz10) = sdtpldt0(sz10,sdtpldt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f2437,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),sz10) = sdtpldt0(sz10,sdtpldt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_226 ),
inference(resolution,[],[f2262,f60]) ).
fof(f6037,plain,
( spl0_540
| ~ spl0_1
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f2431,f2257,f58,f6035]) ).
fof(f6035,plain,
( spl0_540
<=> ! [X0] :
( sdtpldt0(sz00,sdtasdt0(X0,xa)) = sdtpldt0(sdtasdt0(X0,xa),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f2431,plain,
( ! [X0] :
( sdtpldt0(sz00,sdtasdt0(X0,xa)) = sdtpldt0(sdtasdt0(X0,xa),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_225 ),
inference(resolution,[],[f2258,f60]) ).
fof(f6033,plain,
( spl0_539
| ~ spl0_1
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f2424,f2253,f58,f6031]) ).
fof(f6031,plain,
( spl0_539
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),sz00) = sdtpldt0(sz00,sdtpldt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f2424,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),sz00) = sdtpldt0(sz00,sdtpldt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_224 ),
inference(resolution,[],[f2254,f60]) ).
fof(f6029,plain,
( spl0_538
| ~ spl0_1
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2418,f2249,f58,f6027]) ).
fof(f6027,plain,
( spl0_538
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f2418,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_223 ),
inference(resolution,[],[f2250,f60]) ).
fof(f6025,plain,
( spl0_537
| ~ spl0_1
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2412,f2245,f58,f6023]) ).
fof(f6023,plain,
( spl0_537
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f2412,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_222 ),
inference(resolution,[],[f2246,f60]) ).
fof(f6020,plain,
( spl0_536
| ~ spl0_1
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2406,f2241,f58,f6018]) ).
fof(f6018,plain,
( spl0_536
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtasdt0(smndt0(sdtasdt0(X0,xa)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f2406,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtasdt0(smndt0(sdtasdt0(X0,xa)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_221 ),
inference(resolution,[],[f2242,f60]) ).
fof(f6016,plain,
( spl0_535
| ~ spl0_1
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f2400,f2232,f58,f6014]) ).
fof(f6014,plain,
( spl0_535
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtasdt0(smndt0(sdtpldt0(X0,xa)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f2400,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtasdt0(smndt0(sdtpldt0(X0,xa)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_219 ),
inference(resolution,[],[f2233,f60]) ).
fof(f6012,plain,
( spl0_534
| ~ spl0_1
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2394,f2228,f58,f6010]) ).
fof(f6010,plain,
( spl0_534
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f2394,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_218 ),
inference(resolution,[],[f2229,f60]) ).
fof(f6008,plain,
( spl0_533
| ~ spl0_1
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f2388,f2224,f58,f6006]) ).
fof(f6006,plain,
( spl0_533
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,xa)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f2388,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,xa)))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_217 ),
inference(resolution,[],[f2225,f60]) ).
fof(f6004,plain,
( spl0_532
| ~ spl0_1
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f2382,f2220,f58,f6002]) ).
fof(f6002,plain,
( spl0_532
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtpldt0(smndt0(sdtasdt0(X0,xa)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f2382,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xa)) = sdtpldt0(smndt0(sdtasdt0(X0,xa)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_216 ),
inference(resolution,[],[f2221,f60]) ).
fof(f6000,plain,
( spl0_531
| ~ spl0_1
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2376,f2216,f58,f5998]) ).
fof(f5998,plain,
( spl0_531
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtpldt0(smndt0(sdtpldt0(X0,xa)),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f2376,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xa)) = sdtpldt0(smndt0(sdtpldt0(X0,xa)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_215 ),
inference(resolution,[],[f2217,f60]) ).
fof(f5996,plain,
( spl0_530
| ~ spl0_3
| ~ spl0_61
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f2189,f2076,f517,f68,f5994]) ).
fof(f5994,plain,
( spl0_530
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(xa,sz00),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f2189,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(xa,sz00),X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_211 ),
inference(forward_demodulation,[],[f2183,f519]) ).
fof(f2183,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,xa)) = sdtasdt0(sdtasdt0(sz00,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_211 ),
inference(resolution,[],[f2077,f70]) ).
fof(f5992,plain,
( spl0_529
| ~ spl0_1
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f2188,f2076,f58,f5990]) ).
fof(f5990,plain,
( spl0_529
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(xa,xa),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f2188,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(xa,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_211 ),
inference(resolution,[],[f2077,f60]) ).
fof(f5988,plain,
( spl0_528
| ~ spl0_1
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2181,f2072,f58,f5986]) ).
fof(f5986,plain,
( spl0_528
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xa,xa)) = sdtasdt0(sdtpldt0(xa,xa),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f2181,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xa,xa)) = sdtasdt0(sdtpldt0(xa,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_210 ),
inference(resolution,[],[f2073,f60]) ).
fof(f5984,plain,
( spl0_527
| ~ spl0_2
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2177,f2072,f63,f5982]) ).
fof(f5982,plain,
( spl0_527
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtasdt0(sdtpldt0(sz10,xa),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f2177,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtasdt0(sdtpldt0(sz10,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_210 ),
inference(resolution,[],[f2073,f65]) ).
fof(f5979,plain,
( spl0_526
| ~ spl0_3
| ~ spl0_61
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f2174,f2068,f517,f68,f5977]) ).
fof(f5977,plain,
( spl0_526
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xa,sz00)) = sdtpldt0(sdtasdt0(xa,sz00),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f2174,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xa,sz00)) = sdtpldt0(sdtasdt0(xa,sz00),X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_209 ),
inference(forward_demodulation,[],[f2168,f519]) ).
fof(f2168,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(sz00,xa)) = sdtpldt0(sdtasdt0(sz00,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_209 ),
inference(resolution,[],[f2069,f70]) ).
fof(f5975,plain,
( spl0_525
| ~ spl0_1
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f2173,f2068,f58,f5973]) ).
fof(f5973,plain,
( spl0_525
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xa,xa)) = sdtpldt0(sdtasdt0(xa,xa),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f2173,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xa,xa)) = sdtpldt0(sdtasdt0(xa,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_209 ),
inference(resolution,[],[f2069,f60]) ).
fof(f5971,plain,
( spl0_524
| ~ spl0_1
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2161,f2064,f58,f5969]) ).
fof(f5969,plain,
( spl0_524
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(xa,xa),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f2161,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(xa,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_208 ),
inference(resolution,[],[f2065,f60]) ).
fof(f5967,plain,
( spl0_523
| ~ spl0_2
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2157,f2064,f63,f5965]) ).
fof(f5965,plain,
( spl0_523
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,xa),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f2157,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,xa),X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_208 ),
inference(resolution,[],[f2065,f65]) ).
fof(f5963,plain,
( spl0_522
| ~ spl0_1
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2129,f2052,f58,f5960]) ).
fof(f2052,plain,
( spl0_205
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f2129,plain,
( sdtasdt0(xa,sdtpldt0(xa,xa)) = sdtpldt0(sdtasdt0(xa,xa),sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_205 ),
inference(resolution,[],[f2053,f60]) ).
fof(f2053,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,xa)) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f2052]) ).
fof(f5958,plain,
( spl0_521
| ~ spl0_1
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f2111,f2044,f58,f5956]) ).
fof(f5956,plain,
( spl0_521
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xa),xa) = sdtasdt0(xa,sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f2111,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xa),xa) = sdtasdt0(xa,sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_203 ),
inference(resolution,[],[f2045,f60]) ).
fof(f5954,plain,
( spl0_520
| ~ spl0_2
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f2107,f2044,f63,f5952]) ).
fof(f5952,plain,
( spl0_520
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),xa) = sdtasdt0(xa,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f2107,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),xa) = sdtasdt0(xa,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_203 ),
inference(resolution,[],[f2045,f65]) ).
fof(f5950,plain,
( spl0_519
| ~ spl0_3
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f2106,f2044,f68,f5948]) ).
fof(f5948,plain,
( spl0_519
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xa) = sdtasdt0(xa,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f2106,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xa) = sdtasdt0(xa,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_203 ),
inference(resolution,[],[f2045,f70]) ).
fof(f5946,plain,
( spl0_518
| ~ spl0_1
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2105,f2035,f58,f5944]) ).
fof(f5944,plain,
( spl0_518
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),xa) = sdtasdt0(xa,sdtpldt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f2105,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),xa) = sdtasdt0(xa,sdtpldt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_201 ),
inference(resolution,[],[f2036,f60]) ).
fof(f5942,plain,
( spl0_517
| ~ spl0_2
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2101,f2035,f63,f5940]) ).
fof(f5940,plain,
( spl0_517
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xa) = sdtasdt0(xa,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f2101,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xa) = sdtasdt0(xa,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_201 ),
inference(resolution,[],[f2036,f65]) ).
fof(f5937,plain,
( spl0_516
| ~ spl0_3
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2100,f2035,f68,f5935]) ).
fof(f5935,plain,
( spl0_516
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtasdt0(xa,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f2100,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtasdt0(xa,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_201 ),
inference(resolution,[],[f2036,f70]) ).
fof(f5933,plain,
( spl0_515
| ~ spl0_1
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2099,f2031,f58,f5931]) ).
fof(f5931,plain,
( spl0_515
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xa),xa) = sdtpldt0(xa,sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f2099,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xa),xa) = sdtpldt0(xa,sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_200 ),
inference(resolution,[],[f2032,f60]) ).
fof(f5929,plain,
( spl0_514
| ~ spl0_2
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2095,f2031,f63,f5927]) ).
fof(f5927,plain,
( spl0_514
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),xa) = sdtpldt0(xa,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f2095,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),xa) = sdtpldt0(xa,sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_200 ),
inference(resolution,[],[f2032,f65]) ).
fof(f5925,plain,
( spl0_513
| ~ spl0_3
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2094,f2031,f68,f5923]) ).
fof(f5923,plain,
( spl0_513
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),xa) = sdtpldt0(xa,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f2094,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),xa) = sdtpldt0(xa,sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_200 ),
inference(resolution,[],[f2032,f70]) ).
fof(f5921,plain,
( spl0_512
| ~ spl0_1
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2093,f2027,f58,f5919]) ).
fof(f5919,plain,
( spl0_512
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),xa) = sdtpldt0(xa,sdtpldt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f2093,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),xa) = sdtpldt0(xa,sdtpldt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_199 ),
inference(resolution,[],[f2028,f60]) ).
fof(f5917,plain,
( spl0_511
| ~ spl0_2
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2089,f2027,f63,f5915]) ).
fof(f5915,plain,
( spl0_511
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xa) = sdtpldt0(xa,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f2089,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xa) = sdtpldt0(xa,sdtpldt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_199 ),
inference(resolution,[],[f2028,f65]) ).
fof(f5913,plain,
( spl0_510
| ~ spl0_3
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2088,f2027,f68,f5911]) ).
fof(f5911,plain,
( spl0_510
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(xa,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f2088,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(xa,sdtpldt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_199 ),
inference(resolution,[],[f2028,f70]) ).
fof(f5909,plain,
( spl0_509
| ~ spl0_6
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1169,f1049,f82,f5907]) ).
fof(f5907,plain,
( spl0_509
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtasdt0(sdtasdt0(smndt0(X0),xa),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f1169,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtasdt0(sdtasdt0(smndt0(X0),xa),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_121 ),
inference(resolution,[],[f1050,f83]) ).
fof(f5905,plain,
( spl0_508
| ~ spl0_6
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1162,f1045,f82,f5903]) ).
fof(f5903,plain,
( spl0_508
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xa) = sdtpldt0(sdtpldt0(smndt0(X0),xa),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f1162,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xa) = sdtpldt0(sdtpldt0(smndt0(X0),xa),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_120 ),
inference(resolution,[],[f1046,f83]) ).
fof(f5901,plain,
( spl0_507
| ~ spl0_6
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1156,f1041,f82,f5899]) ).
fof(f5899,plain,
( spl0_507
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f1156,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),xa)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_119 ),
inference(resolution,[],[f1042,f83]) ).
fof(f5897,plain,
( spl0_506
| ~ spl0_1
| ~ spl0_15
| ~ spl0_491 ),
inference(avatar_split_clause,[],[f5835,f5816,f134,f58,f5894]) ).
fof(f5894,plain,
( spl0_506
<=> xa = sdtpldt0(sdtpldt0(xa,smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f5816,plain,
( spl0_491
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f5835,plain,
( xa = sdtpldt0(sdtpldt0(xa,smndt0(sz10)),sz10)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_491 ),
inference(forward_demodulation,[],[f5826,f136]) ).
fof(f5826,plain,
( sdtpldt0(xa,sz00) = sdtpldt0(sdtpldt0(xa,smndt0(sz10)),sz10)
| ~ spl0_1
| ~ spl0_491 ),
inference(resolution,[],[f5817,f60]) ).
fof(f5817,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10) )
| ~ spl0_491 ),
inference(avatar_component_clause,[],[f5816]) ).
fof(f5892,plain,
( spl0_505
| ~ spl0_6
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1150,f1037,f82,f5890]) ).
fof(f5890,plain,
( spl0_505
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xa) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f1150,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xa) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),xa)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_118 ),
inference(resolution,[],[f1038,f83]) ).
fof(f5888,plain,
( spl0_504
| ~ spl0_6
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1143,f1033,f82,f5886]) ).
fof(f5886,plain,
( spl0_504
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xa)) = sdtasdt0(smndt0(xa),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f1143,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xa)) = sdtasdt0(smndt0(xa),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_117 ),
inference(resolution,[],[f1034,f83]) ).
fof(f5884,plain,
( spl0_503
| ~ spl0_6
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1135,f1029,f82,f5882]) ).
fof(f5882,plain,
( spl0_503
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xa)) = sdtpldt0(smndt0(xa),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f1135,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xa)) = sdtpldt0(smndt0(xa),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_116 ),
inference(resolution,[],[f1030,f83]) ).
fof(f5880,plain,
( spl0_502
| ~ spl0_6
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1128,f1025,f82,f5878]) ).
fof(f1128,plain,
( ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtpldt0(sdtasdt0(xa,smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_115 ),
inference(resolution,[],[f1026,f83]) ).
fof(f5876,plain,
( spl0_501
| ~ spl0_6
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1121,f1021,f82,f5874]) ).
fof(f1121,plain,
( ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(xa,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_114 ),
inference(resolution,[],[f1022,f83]) ).
fof(f5872,plain,
( spl0_500
| ~ spl0_6
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1114,f1017,f82,f5870]) ).
fof(f1114,plain,
( ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtasdt0(sdtasdt0(xa,smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_113 ),
inference(resolution,[],[f1018,f83]) ).
fof(f5868,plain,
( spl0_499
| ~ spl0_6
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1102,f1013,f82,f5866]) ).
fof(f1102,plain,
( ! [X0] :
( sdtasdt0(xa,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(xa,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_112 ),
inference(resolution,[],[f1014,f83]) ).
fof(f5864,plain,
( spl0_498
| ~ spl0_6
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1094,f1009,f82,f5862]) ).
fof(f1094,plain,
( ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtpldt0(sdtpldt0(xa,smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_111 ),
inference(resolution,[],[f1010,f83]) ).
fof(f5860,plain,
( spl0_497
| ~ spl0_6
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1086,f1005,f82,f5858]) ).
fof(f1086,plain,
( ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_110 ),
inference(resolution,[],[f1006,f83]) ).
fof(f5856,plain,
( spl0_496
| ~ spl0_6
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1078,f1001,f82,f5854]) ).
fof(f1078,plain,
( ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtasdt0(sdtpldt0(xa,smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_109 ),
inference(resolution,[],[f1002,f83]) ).
fof(f5852,plain,
( spl0_495
| ~ spl0_2
| ~ spl0_26
| ~ spl0_490 ),
inference(avatar_split_clause,[],[f5808,f5795,f243,f63,f5849]) ).
fof(f5795,plain,
( spl0_490
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xa)),xa)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f5808,plain,
( sz10 = sdtpldt0(sdtpldt0(sz10,smndt0(xa)),xa)
| ~ spl0_2
| ~ spl0_26
| ~ spl0_490 ),
inference(forward_demodulation,[],[f5799,f245]) ).
fof(f5799,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,smndt0(xa)),xa)
| ~ spl0_2
| ~ spl0_490 ),
inference(resolution,[],[f5796,f65]) ).
fof(f5796,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xa)),xa) )
| ~ spl0_490 ),
inference(avatar_component_clause,[],[f5795]) ).
fof(f5847,plain,
( spl0_494
| ~ spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1070,f997,f82,f5845]) ).
fof(f1070,plain,
( ! [X0] :
( sdtpldt0(xa,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(xa,smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_108 ),
inference(resolution,[],[f998,f83]) ).
fof(f5843,plain,
( spl0_493
| ~ spl0_6
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1063,f993,f82,f5841]) ).
fof(f1063,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xa) = sdtasdt0(xa,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_107 ),
inference(resolution,[],[f994,f83]) ).
fof(f5839,plain,
( spl0_492
| ~ spl0_6
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1054,f989,f82,f5837]) ).
fof(f1054,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xa) = sdtpldt0(xa,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_106 ),
inference(resolution,[],[f990,f83]) ).
fof(f5818,plain,
( spl0_491
| ~ spl0_2
| ~ spl0_36
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f2818,f2781,f303,f63,f5816]) ).
fof(f2818,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_269 ),
inference(forward_demodulation,[],[f2811,f305]) ).
fof(f2811,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10) )
| ~ spl0_2
| ~ spl0_269 ),
inference(resolution,[],[f2782,f65]) ).
fof(f5797,plain,
( spl0_490
| ~ spl0_1
| ~ spl0_32
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f2748,f2724,f281,f58,f5795]) ).
fof(f2748,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xa)),xa)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_32
| ~ spl0_263 ),
inference(forward_demodulation,[],[f2744,f283]) ).
fof(f2744,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(smndt0(xa),xa)) = sdtpldt0(sdtpldt0(X0,smndt0(xa)),xa) )
| ~ spl0_1
| ~ spl0_263 ),
inference(resolution,[],[f2725,f60]) ).
fof(f5791,plain,
( spl0_489
| ~ spl0_3
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1964,f1924,f68,f5788]) ).
fof(f5788,plain,
( spl0_489
<=> sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f1964,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_193 ),
inference(resolution,[],[f1925,f70]) ).
fof(f5786,plain,
( spl0_488
| ~ spl0_3
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1957,f1920,f68,f5783]) ).
fof(f5783,plain,
( spl0_488
<=> sdtasdt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f1957,plain,
( sdtasdt0(sz00,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),sz00)
| ~ spl0_3
| ~ spl0_192 ),
inference(resolution,[],[f1921,f70]) ).
fof(f5781,plain,
( spl0_487
| ~ spl0_2
| ~ spl0_25
| ~ spl0_191
| ~ spl0_196
| ~ spl0_231
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f5178,f4587,f2281,f1936,f1916,f238,f63,f5778]) ).
fof(f238,plain,
( spl0_25
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2281,plain,
( spl0_231
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f5178,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_2
| ~ spl0_25
| ~ spl0_191
| ~ spl0_196
| ~ spl0_231
| ~ spl0_455 ),
inference(forward_demodulation,[],[f5177,f240]) ).
fof(f240,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f5177,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_2
| ~ spl0_191
| ~ spl0_196
| ~ spl0_231
| ~ spl0_455 ),
inference(forward_demodulation,[],[f5176,f1948]) ).
fof(f1948,plain,
( sdtpldt0(sz10,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),sz10)
| ~ spl0_2
| ~ spl0_191 ),
inference(resolution,[],[f1917,f65]) ).
fof(f5176,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,sz10),sz10),sz00)
| ~ spl0_196
| ~ spl0_231
| ~ spl0_455 ),
inference(forward_demodulation,[],[f4890,f2283]) ).
fof(f2283,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f2281]) ).
fof(f4890,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,sz10),sz10),sz00) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,sz10),sz00),sz00)
| ~ spl0_196
| ~ spl0_455 ),
inference(resolution,[],[f4588,f1937]) ).
fof(f5776,plain,
( spl0_486
| ~ spl0_2
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1948,f1916,f63,f5773]) ).
fof(f5267,plain,
( spl0_485
| ~ spl0_2
| ~ spl0_180
| ~ spl0_458
| ~ spl0_467 ),
inference(avatar_split_clause,[],[f4657,f4653,f4601,f1784,f63,f5264]) ).
fof(f5264,plain,
( spl0_485
<=> sdtpldt0(sz10,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(xa,xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f4601,plain,
( spl0_458
<=> sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f4653,plain,
( spl0_467
<=> sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(xa,xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f4657,plain,
( sdtpldt0(sz10,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(xa,xa),sz10)
| ~ spl0_2
| ~ spl0_180
| ~ spl0_458
| ~ spl0_467 ),
inference(forward_demodulation,[],[f4655,f4605]) ).
fof(f4605,plain,
( sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sz10,sdtpldt0(xa,xa))
| ~ spl0_2
| ~ spl0_180
| ~ spl0_458 ),
inference(forward_demodulation,[],[f4603,f1833]) ).
fof(f1833,plain,
( sdtpldt0(sdtpldt0(sz10,xa),xa) = sdtpldt0(sz10,sdtpldt0(xa,xa))
| ~ spl0_2
| ~ spl0_180 ),
inference(resolution,[],[f1785,f65]) ).
fof(f4603,plain,
( sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,xa),xa)
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f4601]) ).
fof(f4655,plain,
( sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(xa,xa),sz10)
| ~ spl0_467 ),
inference(avatar_component_clause,[],[f4653]) ).
fof(f5260,plain,
( spl0_484
| ~ spl0_1
| ~ spl0_182
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f4626,f4622,f1792,f58,f5257]) ).
fof(f5257,plain,
( spl0_484
<=> sdtasdt0(sz00,sdtasdt0(xa,xa)) = sdtasdt0(xa,sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f4622,plain,
( spl0_462
<=> sdtasdt0(sz00,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(xa,sz00),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f4626,plain,
( sdtasdt0(sz00,sdtasdt0(xa,xa)) = sdtasdt0(xa,sdtasdt0(xa,sz00))
| ~ spl0_1
| ~ spl0_182
| ~ spl0_462 ),
inference(forward_demodulation,[],[f4624,f1852]) ).
fof(f1852,plain,
( sdtasdt0(sdtasdt0(xa,sz00),xa) = sdtasdt0(xa,sdtasdt0(xa,sz00))
| ~ spl0_1
| ~ spl0_182 ),
inference(resolution,[],[f1793,f60]) ).
fof(f4624,plain,
( sdtasdt0(sz00,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(xa,sz00),xa)
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f4622]) ).
fof(f4746,plain,
( spl0_483
| ~ spl0_2
| ~ spl0_180
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f4605,f4601,f1784,f63,f4743]) ).
fof(f4743,plain,
( spl0_483
<=> sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sz10,sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f4740,plain,
( spl0_482
| ~ spl0_1
| ~ spl0_23
| ~ spl0_204
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f2204,f2080,f2048,f224,f58,f4737]) ).
fof(f4737,plain,
( spl0_482
<=> sdtpldt0(sdtasdt0(xa,xa),xa) = sdtpldt0(xa,sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f2048,plain,
( spl0_204
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xa))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f2080,plain,
( spl0_212
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f2204,plain,
( sdtpldt0(sdtasdt0(xa,xa),xa) = sdtpldt0(xa,sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_204
| ~ spl0_212 ),
inference(forward_demodulation,[],[f2203,f2123]) ).
fof(f2123,plain,
( sdtasdt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(xa,sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2117,f226]) ).
fof(f2117,plain,
( sdtasdt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(xa,sz10),sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_204 ),
inference(resolution,[],[f2049,f60]) ).
fof(f2049,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xa)) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f2048]) ).
fof(f2203,plain,
( sdtpldt0(sdtasdt0(xa,xa),xa) = sdtasdt0(xa,sdtpldt0(sz10,xa))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_212 ),
inference(forward_demodulation,[],[f2196,f226]) ).
fof(f2196,plain,
( sdtasdt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(xa,xa),sdtasdt0(xa,sz10))
| ~ spl0_1
| ~ spl0_212 ),
inference(resolution,[],[f2081,f60]) ).
fof(f2081,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz10)) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f4735,plain,
( spl0_481
| ~ spl0_1
| ~ spl0_205
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2142,f2056,f2052,f58,f4732]) ).
fof(f4732,plain,
( spl0_481
<=> sdtasdt0(xa,sdtpldt0(xa,xa)) = sdtasdt0(sdtpldt0(xa,xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f2142,plain,
( sdtasdt0(xa,sdtpldt0(xa,xa)) = sdtasdt0(sdtpldt0(xa,xa),xa)
| ~ spl0_1
| ~ spl0_205
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2138,f2129]) ).
fof(f2138,plain,
( sdtpldt0(sdtasdt0(xa,xa),sdtasdt0(xa,xa)) = sdtasdt0(sdtpldt0(xa,xa),xa)
| ~ spl0_1
| ~ spl0_206 ),
inference(resolution,[],[f2057,f60]) ).
fof(f4730,plain,
( spl0_480
| ~ spl0_2
| ~ spl0_24
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2141,f2056,f229,f63,f4727]) ).
fof(f4727,plain,
( spl0_480
<=> sdtasdt0(sdtpldt0(sz10,xa),xa) = sdtpldt0(xa,sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f229,plain,
( spl0_24
<=> xa = sdtasdt0(sz10,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2141,plain,
( sdtasdt0(sdtpldt0(sz10,xa),xa) = sdtpldt0(xa,sdtasdt0(xa,xa))
| ~ spl0_2
| ~ spl0_24
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2134,f231]) ).
fof(f231,plain,
( xa = sdtasdt0(sz10,xa)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f2134,plain,
( sdtasdt0(sdtpldt0(sz10,xa),xa) = sdtpldt0(sdtasdt0(sz10,xa),sdtasdt0(xa,xa))
| ~ spl0_2
| ~ spl0_206 ),
inference(resolution,[],[f2057,f65]) ).
fof(f4725,plain,
( spl0_479
| ~ spl0_1
| ~ spl0_23
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2123,f2048,f224,f58,f4722]) ).
fof(f4722,plain,
( spl0_479
<=> sdtasdt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(xa,sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f4720,plain,
( spl0_478
| ~ spl0_1
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1969,f1924,f58,f4717]) ).
fof(f4717,plain,
( spl0_478
<=> sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f1969,plain,
( sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(xa,sz00))
| ~ spl0_1
| ~ spl0_193 ),
inference(resolution,[],[f1925,f60]) ).
fof(f4714,plain,
( spl0_477
| ~ spl0_437
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f4709,f4705,f4463,f4711]) ).
fof(f4711,plain,
( spl0_477
<=> sdtasdt0(xa,sz00) = sdtasdt0(sdtasdt0(xa,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f4705,plain,
( spl0_476
<=> sdtasdt0(sdtasdt0(xa,sz00),sz00) = sdtasdt0(xa,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f4709,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sdtasdt0(xa,sz00),sz00)
| ~ spl0_437
| ~ spl0_476 ),
inference(forward_demodulation,[],[f4707,f4465]) ).
fof(f4707,plain,
( sdtasdt0(sdtasdt0(xa,sz00),sz00) = sdtasdt0(xa,sdtasdt0(sz00,sz00))
| ~ spl0_476 ),
inference(avatar_component_clause,[],[f4705]) ).
fof(f4708,plain,
( spl0_476
| ~ spl0_1
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f1962,f1920,f58,f4705]) ).
fof(f1962,plain,
( sdtasdt0(sdtasdt0(xa,sz00),sz00) = sdtasdt0(xa,sdtasdt0(sz00,sz00))
| ~ spl0_1
| ~ spl0_192 ),
inference(resolution,[],[f1921,f60]) ).
fof(f4703,plain,
( ~ spl0_2
| ~ spl0_13
| spl0_455 ),
inference(avatar_split_clause,[],[f4646,f4587,f126,f63]) ).
fof(f4646,plain,
( ~ aInteger0(sz10)
| ~ spl0_13
| spl0_455 ),
inference(duplicate_literal_removal,[],[f4645]) ).
fof(f4645,plain,
( ~ aInteger0(sz10)
| ~ aInteger0(sz10)
| ~ spl0_13
| spl0_455 ),
inference(resolution,[],[f4589,f127]) ).
fof(f4589,plain,
( ~ aInteger0(sdtpldt0(sz10,sz10))
| spl0_455 ),
inference(avatar_component_clause,[],[f4587]) ).
fof(f4702,plain,
( spl0_475
| ~ spl0_1
| ~ spl0_2
| ~ spl0_42
| ~ spl0_183
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1955,f1916,f1796,f346,f63,f58,f4699]) ).
fof(f4699,plain,
( spl0_475
<=> sdtpldt0(sz10,sdtpldt0(sz10,xa)) = sdtpldt0(xa,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f1955,plain,
( sdtpldt0(sz10,sdtpldt0(sz10,xa)) = sdtpldt0(xa,sdtpldt0(sz10,sz10))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_42
| ~ spl0_183
| ~ spl0_191 ),
inference(forward_demodulation,[],[f1954,f1856]) ).
fof(f1856,plain,
( sdtpldt0(sz10,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,xa),sz10)
| ~ spl0_2
| ~ spl0_183 ),
inference(resolution,[],[f1797,f65]) ).
fof(f1954,plain,
( sdtpldt0(sdtpldt0(sz10,xa),sz10) = sdtpldt0(xa,sdtpldt0(sz10,sz10))
| ~ spl0_1
| ~ spl0_42
| ~ spl0_191 ),
inference(forward_demodulation,[],[f1952,f348]) ).
fof(f1952,plain,
( sdtpldt0(xa,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(xa,sz10),sz10)
| ~ spl0_1
| ~ spl0_191 ),
inference(resolution,[],[f1917,f60]) ).
fof(f4696,plain,
( spl0_474
| ~ spl0_3
| ~ spl0_61
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1897,f1812,f517,f68,f4693]) ).
fof(f4693,plain,
( spl0_474
<=> sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f1897,plain,
( sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_61
| ~ spl0_187 ),
inference(forward_demodulation,[],[f1891,f519]) ).
fof(f1891,plain,
( sdtasdt0(sz00,xa) = sdtpldt0(sdtasdt0(sz00,xa),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_187 ),
inference(resolution,[],[f1813,f70]) ).
fof(f4691,plain,
( spl0_473
| ~ spl0_1
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1896,f1812,f58,f4688]) ).
fof(f4688,plain,
( spl0_473
<=> sdtasdt0(xa,xa) = sdtpldt0(sdtasdt0(xa,xa),sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f1896,plain,
( sdtasdt0(xa,xa) = sdtpldt0(sdtasdt0(xa,xa),sdtasdt0(xa,sz00))
| ~ spl0_1
| ~ spl0_187 ),
inference(resolution,[],[f1813,f60]) ).
fof(f4685,plain,
( spl0_472
| ~ spl0_1
| ~ spl0_42
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1890,f1808,f346,f58,f4682]) ).
fof(f4682,plain,
( spl0_472
<=> sdtpldt0(sdtasdt0(xa,xa),xa) = sdtasdt0(sdtpldt0(sz10,xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f1890,plain,
( sdtpldt0(sdtasdt0(xa,xa),xa) = sdtasdt0(sdtpldt0(sz10,xa),xa)
| ~ spl0_1
| ~ spl0_42
| ~ spl0_186 ),
inference(forward_demodulation,[],[f1885,f348]) ).
fof(f1885,plain,
( sdtasdt0(sdtpldt0(xa,sz10),xa) = sdtpldt0(sdtasdt0(xa,xa),xa)
| ~ spl0_1
| ~ spl0_186 ),
inference(resolution,[],[f1809,f60]) ).
fof(f4679,plain,
( spl0_471
| ~ spl0_3
| ~ spl0_61
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1877,f1804,f517,f68,f4676]) ).
fof(f4676,plain,
( spl0_471
<=> sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f1877,plain,
( sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_61
| ~ spl0_185 ),
inference(forward_demodulation,[],[f1871,f519]) ).
fof(f1871,plain,
( sdtasdt0(sz00,xa) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,xa))
| ~ spl0_3
| ~ spl0_185 ),
inference(resolution,[],[f1805,f70]) ).
fof(f4674,plain,
( spl0_470
| ~ spl0_1
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1876,f1804,f58,f4671]) ).
fof(f4671,plain,
( spl0_470
<=> sdtasdt0(xa,xa) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f1876,plain,
( sdtasdt0(xa,xa) = sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_185 ),
inference(resolution,[],[f1805,f60]) ).
fof(f4667,plain,
( spl0_469
| ~ spl0_3
| ~ spl0_61
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1869,f1800,f517,f68,f4664]) ).
fof(f4664,plain,
( spl0_469
<=> sdtasdt0(sz00,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(xa,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f1869,plain,
( sdtasdt0(sz00,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(xa,sz00),sz00)
| ~ spl0_3
| ~ spl0_61
| ~ spl0_184 ),
inference(forward_demodulation,[],[f1863,f519]) ).
fof(f1863,plain,
( sdtasdt0(sz00,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(sz00,xa),sz00)
| ~ spl0_3
| ~ spl0_184 ),
inference(resolution,[],[f1801,f70]) ).
fof(f4662,plain,
( spl0_468
| ~ spl0_1
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1868,f1800,f58,f4659]) ).
fof(f4659,plain,
( spl0_468
<=> sdtasdt0(xa,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(xa,xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f1868,plain,
( sdtasdt0(xa,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(xa,xa),sz00)
| ~ spl0_1
| ~ spl0_184 ),
inference(resolution,[],[f1801,f60]) ).
fof(f4656,plain,
( spl0_467
| ~ spl0_1
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f1860,f1796,f58,f4653]) ).
fof(f1860,plain,
( sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(xa,xa),sz10)
| ~ spl0_1
| ~ spl0_183 ),
inference(resolution,[],[f1797,f60]) ).
fof(f4651,plain,
( spl0_466
| ~ spl0_2
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f1856,f1796,f63,f4648]) ).
fof(f4648,plain,
( spl0_466
<=> sdtpldt0(sz10,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f4644,plain,
( spl0_465
| ~ spl0_1
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1852,f1792,f58,f4641]) ).
fof(f4641,plain,
( spl0_465
<=> sdtasdt0(sdtasdt0(xa,sz00),xa) = sdtasdt0(xa,sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f4638,plain,
( spl0_464
| ~ spl0_61
| ~ spl0_437
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f4633,f4628,f4463,f517,f4635]) ).
fof(f4635,plain,
( spl0_464
<=> sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f4628,plain,
( spl0_463
<=> sdtasdt0(sdtasdt0(sz00,sz00),xa) = sdtasdt0(sz00,sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f4633,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtasdt0(xa,sz00))
| ~ spl0_61
| ~ spl0_437
| ~ spl0_463 ),
inference(forward_demodulation,[],[f4632,f519]) ).
fof(f4632,plain,
( sdtasdt0(sz00,xa) = sdtasdt0(sz00,sdtasdt0(xa,sz00))
| ~ spl0_437
| ~ spl0_463 ),
inference(forward_demodulation,[],[f4630,f4465]) ).
fof(f4630,plain,
( sdtasdt0(sdtasdt0(sz00,sz00),xa) = sdtasdt0(sz00,sdtasdt0(xa,sz00))
| ~ spl0_463 ),
inference(avatar_component_clause,[],[f4628]) ).
fof(f4631,plain,
( spl0_463
| ~ spl0_3
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1847,f1792,f68,f4628]) ).
fof(f1847,plain,
( sdtasdt0(sdtasdt0(sz00,sz00),xa) = sdtasdt0(sz00,sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_182 ),
inference(resolution,[],[f1793,f70]) ).
fof(f4625,plain,
( spl0_462
| ~ spl0_3
| ~ spl0_61
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1845,f1788,f517,f68,f4622]) ).
fof(f1845,plain,
( sdtasdt0(sz00,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(xa,sz00),xa)
| ~ spl0_3
| ~ spl0_61
| ~ spl0_181 ),
inference(forward_demodulation,[],[f1839,f519]) ).
fof(f1839,plain,
( sdtasdt0(sz00,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(sz00,xa),xa)
| ~ spl0_3
| ~ spl0_181 ),
inference(resolution,[],[f1789,f70]) ).
fof(f4620,plain,
( spl0_461
| ~ spl0_1
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1844,f1788,f58,f4617]) ).
fof(f4617,plain,
( spl0_461
<=> sdtasdt0(xa,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(xa,xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f1844,plain,
( sdtasdt0(xa,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(xa,xa),xa)
| ~ spl0_1
| ~ spl0_181 ),
inference(resolution,[],[f1789,f60]) ).
fof(f4615,plain,
( spl0_460
| ~ spl0_1
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1837,f1784,f58,f4612]) ).
fof(f4612,plain,
( spl0_460
<=> sdtpldt0(xa,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(xa,xa),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f1837,plain,
( sdtpldt0(xa,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(xa,xa),xa)
| ~ spl0_1
| ~ spl0_180 ),
inference(resolution,[],[f1785,f60]) ).
fof(f4610,plain,
( spl0_459
| ~ spl0_2
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1833,f1784,f63,f4607]) ).
fof(f4607,plain,
( spl0_459
<=> sdtpldt0(sdtpldt0(sz10,xa),xa) = sdtpldt0(sz10,sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f4604,plain,
( spl0_458
| ~ spl0_1
| ~ spl0_42
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1831,f1780,f346,f58,f4601]) ).
fof(f1831,plain,
( sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,xa),xa)
| ~ spl0_1
| ~ spl0_42
| ~ spl0_179 ),
inference(forward_demodulation,[],[f1829,f348]) ).
fof(f1829,plain,
( sdtpldt0(xa,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(xa,sz10),xa)
| ~ spl0_1
| ~ spl0_179 ),
inference(resolution,[],[f1781,f60]) ).
fof(f4599,plain,
( spl0_457
| ~ spl0_2
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1825,f1780,f63,f4596]) ).
fof(f4596,plain,
( spl0_457
<=> sdtpldt0(sz10,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,sz10),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f1825,plain,
( sdtpldt0(sz10,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(sz10,sz10),xa)
| ~ spl0_2
| ~ spl0_179 ),
inference(resolution,[],[f1781,f65]) ).
fof(f4594,plain,
( ~ spl0_455
| ~ spl0_1
| spl0_456
| ~ spl0_14
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f4395,f4085,f130,f4591,f58,f4587]) ).
fof(f4085,plain,
( spl0_395
<=> sdtpldt0(xa,xa) = sdtasdt0(sdtpldt0(sz10,sz10),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f4395,plain,
( aInteger0(sdtpldt0(xa,xa))
| ~ aInteger0(xa)
| ~ aInteger0(sdtpldt0(sz10,sz10))
| ~ spl0_14
| ~ spl0_395 ),
inference(superposition,[],[f131,f4087]) ).
fof(f4087,plain,
( sdtpldt0(xa,xa) = sdtasdt0(sdtpldt0(sz10,sz10),xa)
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f4085]) ).
fof(f4580,plain,
( spl0_454
| ~ spl0_3
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f1757,f1680,f68,f4577]) ).
fof(f4577,plain,
( spl0_454
<=> sz00 = sdtpldt0(sdtasdt0(sz00,sz00),smndt0(sdtasdt0(sz00,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f1757,plain,
( sz00 = sdtpldt0(sdtasdt0(sz00,sz00),smndt0(sdtasdt0(sz00,sz00)))
| ~ spl0_3
| ~ spl0_175 ),
inference(resolution,[],[f1681,f70]) ).
fof(f4574,plain,
( spl0_453
| ~ spl0_3
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f1740,f1672,f68,f4571]) ).
fof(f4571,plain,
( spl0_453
<=> sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,sz00)),sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f1740,plain,
( sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,sz00)),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_173 ),
inference(resolution,[],[f1673,f70]) ).
fof(f4569,plain,
( spl0_452
| ~ spl0_2
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1734,f1668,f63,f4566]) ).
fof(f4566,plain,
( spl0_452
<=> sz00 = sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sdtpldt0(sz10,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f1734,plain,
( sz00 = sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sdtpldt0(sz10,sz10)))
| ~ spl0_2
| ~ spl0_172 ),
inference(resolution,[],[f1669,f65]) ).
fof(f4564,plain,
( spl0_451
| ~ spl0_2
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f1718,f1660,f63,f4561]) ).
fof(f4561,plain,
( spl0_451
<=> sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f1718,plain,
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_170 ),
inference(resolution,[],[f1661,f65]) ).
fof(f4559,plain,
( spl0_450
| ~ spl0_2
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1701,f1652,f63,f4556]) ).
fof(f4556,plain,
( spl0_450
<=> sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f1701,plain,
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_168 ),
inference(resolution,[],[f1653,f65]) ).
fof(f4554,plain,
( spl0_449
| ~ spl0_2
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f1693,f1648,f63,f4551]) ).
fof(f4551,plain,
( spl0_449
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1693,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10))))
| ~ spl0_2
| ~ spl0_167 ),
inference(resolution,[],[f1649,f65]) ).
fof(f4539,plain,
( spl0_448
| ~ spl0_1
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1705,f1652,f58,f4536]) ).
fof(f4536,plain,
( spl0_448
<=> sz00 = sdtpldt0(smndt0(smndt0(smndt0(xa))),smndt0(smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f1705,plain,
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(xa))),smndt0(smndt0(xa)))
| ~ spl0_1
| ~ spl0_168 ),
inference(resolution,[],[f1653,f60]) ).
fof(f4534,plain,
( spl0_447
| ~ spl0_1
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f1697,f1648,f58,f4531]) ).
fof(f4531,plain,
( spl0_447
<=> sz00 = sdtpldt0(smndt0(smndt0(xa)),smndt0(smndt0(smndt0(xa)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f1697,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xa)),smndt0(smndt0(smndt0(xa))))
| ~ spl0_1
| ~ spl0_167 ),
inference(resolution,[],[f1649,f60]) ).
fof(f4529,plain,
( spl0_446
| ~ spl0_1
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1645,f1609,f58,f4526]) ).
fof(f4526,plain,
( spl0_446
<=> sz00 = sdtpldt0(sdtasdt0(xa,xa),smndt0(sdtasdt0(xa,xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f1645,plain,
( sz00 = sdtpldt0(sdtasdt0(xa,xa),smndt0(sdtasdt0(xa,xa)))
| ~ spl0_1
| ~ spl0_165 ),
inference(resolution,[],[f1610,f60]) ).
fof(f4524,plain,
( spl0_445
| ~ spl0_3
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1640,f1609,f68,f4521]) ).
fof(f4521,plain,
( spl0_445
<=> sz00 = sdtpldt0(sdtasdt0(xa,sz00),smndt0(sdtasdt0(xa,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f1640,plain,
( sz00 = sdtpldt0(sdtasdt0(xa,sz00),smndt0(sdtasdt0(xa,sz00)))
| ~ spl0_3
| ~ spl0_165 ),
inference(resolution,[],[f1610,f70]) ).
fof(f4519,plain,
( spl0_444
| ~ spl0_1
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1633,f1605,f58,f4516]) ).
fof(f4516,plain,
( spl0_444
<=> sz00 = sdtpldt0(smndt0(sdtasdt0(xa,xa)),sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f1633,plain,
( sz00 = sdtpldt0(smndt0(sdtasdt0(xa,xa)),sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_164 ),
inference(resolution,[],[f1606,f60]) ).
fof(f4514,plain,
( spl0_443
| ~ spl0_3
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f1628,f1605,f68,f4511]) ).
fof(f4511,plain,
( spl0_443
<=> sz00 = sdtpldt0(smndt0(sdtasdt0(xa,sz00)),sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f1628,plain,
( sz00 = sdtpldt0(smndt0(sdtasdt0(xa,sz00)),sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_164 ),
inference(resolution,[],[f1606,f70]) ).
fof(f4509,plain,
( spl0_442
| ~ spl0_2
| ~ spl0_42
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1627,f1601,f346,f63,f4506]) ).
fof(f4506,plain,
( spl0_442
<=> sz00 = sdtpldt0(sdtpldt0(sz10,xa),smndt0(sdtpldt0(sz10,xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f1627,plain,
( sz00 = sdtpldt0(sdtpldt0(sz10,xa),smndt0(sdtpldt0(sz10,xa)))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_163 ),
inference(forward_demodulation,[],[f1621,f348]) ).
fof(f1621,plain,
( sz00 = sdtpldt0(sdtpldt0(xa,sz10),smndt0(sdtpldt0(xa,sz10)))
| ~ spl0_2
| ~ spl0_163 ),
inference(resolution,[],[f1602,f65]) ).
fof(f4504,plain,
( spl0_441
| ~ spl0_1
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1625,f1601,f58,f4501]) ).
fof(f4501,plain,
( spl0_441
<=> sz00 = sdtpldt0(sdtpldt0(xa,xa),smndt0(sdtpldt0(xa,xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f1625,plain,
( sz00 = sdtpldt0(sdtpldt0(xa,xa),smndt0(sdtpldt0(xa,xa)))
| ~ spl0_1
| ~ spl0_163 ),
inference(resolution,[],[f1602,f60]) ).
fof(f4499,plain,
( spl0_440
| ~ spl0_2
| ~ spl0_42
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f1619,f1597,f346,f63,f4496]) ).
fof(f4496,plain,
( spl0_440
<=> sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,xa)),sdtpldt0(sz10,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f1619,plain,
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,xa)),sdtpldt0(sz10,xa))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_162 ),
inference(forward_demodulation,[],[f1613,f348]) ).
fof(f1613,plain,
( sz00 = sdtpldt0(smndt0(sdtpldt0(xa,sz10)),sdtpldt0(xa,sz10))
| ~ spl0_2
| ~ spl0_162 ),
inference(resolution,[],[f1598,f65]) ).
fof(f4494,plain,
( spl0_439
| ~ spl0_1
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f1617,f1597,f58,f4491]) ).
fof(f4491,plain,
( spl0_439
<=> sz00 = sdtpldt0(smndt0(sdtpldt0(xa,xa)),sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f1617,plain,
( sz00 = sdtpldt0(smndt0(sdtpldt0(xa,xa)),sdtpldt0(xa,xa))
| ~ spl0_1
| ~ spl0_162 ),
inference(resolution,[],[f1598,f60]) ).
fof(f4475,plain,
( spl0_438
| ~ spl0_3
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1514,f1279,f68,f4472]) ).
fof(f4472,plain,
( spl0_438
<=> sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f1514,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sz00)
| ~ spl0_3
| ~ spl0_148 ),
inference(resolution,[],[f1280,f70]) ).
fof(f4466,plain,
( spl0_437
| ~ spl0_214
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f4461,f4457,f2164,f4463]) ).
fof(f2164,plain,
( spl0_214
<=> sz00 = sdtpldt0(sz00,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f4457,plain,
( spl0_436
<=> sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f4461,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl0_214
| ~ spl0_436 ),
inference(forward_demodulation,[],[f4459,f2166]) ).
fof(f2166,plain,
( sz00 = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f4459,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f4457]) ).
fof(f4460,plain,
( spl0_436
| ~ spl0_3
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1497,f1266,f68,f4457]) ).
fof(f1497,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_145 ),
inference(resolution,[],[f1267,f70]) ).
fof(f4455,plain,
( spl0_435
| ~ spl0_3
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1475,f1258,f68,f4452]) ).
fof(f4452,plain,
( spl0_435
<=> sdtasdt0(sz00,sz00) = sdtasdt0(sdtasdt0(sz00,sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f1475,plain,
( sdtasdt0(sz00,sz00) = sdtasdt0(sdtasdt0(sz00,sz00),sz10)
| ~ spl0_3
| ~ spl0_143 ),
inference(resolution,[],[f1259,f70]) ).
fof(f4450,plain,
( spl0_434
| ~ spl0_3
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1458,f1250,f68,f4447]) ).
fof(f4447,plain,
( spl0_434
<=> sdtasdt0(sz00,sz00) = sdtasdt0(sz10,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f1458,plain,
( sdtasdt0(sz00,sz00) = sdtasdt0(sz10,sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_141 ),
inference(resolution,[],[f1251,f70]) ).
fof(f4445,plain,
( spl0_433
| ~ spl0_2
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1452,f1246,f63,f4442]) ).
fof(f4442,plain,
( spl0_433
<=> sdtpldt0(sz10,sz10) = sdtpldt0(sdtpldt0(sz10,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f1452,plain,
( sdtpldt0(sz10,sz10) = sdtpldt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_140 ),
inference(resolution,[],[f1247,f65]) ).
fof(f4440,plain,
( spl0_432
| ~ spl0_2
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1436,f1238,f63,f4437]) ).
fof(f4437,plain,
( spl0_432
<=> sdtpldt0(sz10,sz10) = sdtpldt0(sz00,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f1436,plain,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_138 ),
inference(resolution,[],[f1239,f65]) ).
fof(f4435,plain,
( spl0_431
| ~ spl0_2
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1420,f1230,f63,f4432]) ).
fof(f4432,plain,
( spl0_431
<=> sdtpldt0(sz10,sz10) = sdtasdt0(sdtpldt0(sz10,sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f1420,plain,
( sdtpldt0(sz10,sz10) = sdtasdt0(sdtpldt0(sz10,sz10),sz10)
| ~ spl0_2
| ~ spl0_136 ),
inference(resolution,[],[f1231,f65]) ).
fof(f4430,plain,
( spl0_430
| ~ spl0_2
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1404,f1217,f63,f4427]) ).
fof(f4427,plain,
( spl0_430
<=> sdtpldt0(sz10,sz10) = sdtasdt0(sz10,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f1404,plain,
( sdtpldt0(sz10,sz10) = sdtasdt0(sz10,sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_133 ),
inference(resolution,[],[f1218,f65]) ).
fof(f4425,plain,
( spl0_429
| ~ spl0_2
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1374,f1205,f63,f4422]) ).
fof(f4422,plain,
( spl0_429
<=> sdtasdt0(smndt0(sz10),sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f4420,plain,
( spl0_428
| ~ spl0_2
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1348,f1193,f63,f4417]) ).
fof(f4417,plain,
( spl0_428
<=> smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f1348,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_127 ),
inference(resolution,[],[f1194,f65]) ).
fof(f4415,plain,
( spl0_427
| ~ spl0_2
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1340,f1189,f63,f4412]) ).
fof(f4412,plain,
( spl0_427
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f1340,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10)
| ~ spl0_2
| ~ spl0_126 ),
inference(resolution,[],[f1190,f65]) ).
fof(f4410,plain,
( spl0_426
| ~ spl0_2
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1332,f1185,f63,f4407]) ).
fof(f4407,plain,
( spl0_426
<=> smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f1332,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_125 ),
inference(resolution,[],[f1186,f65]) ).
fof(f4405,plain,
( spl0_425
| ~ spl0_2
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1324,f1176,f63,f4402]) ).
fof(f4402,plain,
( spl0_425
<=> smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f1324,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00)
| ~ spl0_2
| ~ spl0_123 ),
inference(resolution,[],[f1177,f65]) ).
fof(f4382,plain,
( spl0_424
| ~ spl0_1
| ~ spl0_23
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f2621,f2363,f224,f58,f4379]) ).
fof(f4379,plain,
( spl0_424
<=> sdtpldt0(xa,xa) = sdtasdt0(xa,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f2363,plain,
( spl0_251
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f2621,plain,
( sdtpldt0(xa,xa) = sdtasdt0(xa,sdtpldt0(sz10,sz10))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_251 ),
inference(forward_demodulation,[],[f2617,f226]) ).
fof(f2617,plain,
( sdtasdt0(xa,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(xa,sz10),sdtasdt0(xa,sz10))
| ~ spl0_1
| ~ spl0_251 ),
inference(resolution,[],[f2364,f60]) ).
fof(f2364,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10)) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f2363]) ).
fof(f4352,plain,
( spl0_423
| ~ spl0_14
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f935,f921,f130,f4350]) ).
fof(f4350,plain,
( spl0_423
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f921,plain,
( spl0_97
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f935,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_97 ),
inference(resolution,[],[f922,f131]) ).
fof(f922,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X2) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f4348,plain,
( spl0_422
| ~ spl0_13
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f934,f921,f126,f4346]) ).
fof(f4346,plain,
( spl0_422
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f934,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_97 ),
inference(resolution,[],[f922,f127]) ).
fof(f4344,plain,
( spl0_421
| ~ spl0_14
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f928,f917,f130,f4342]) ).
fof(f4342,plain,
( spl0_421
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f917,plain,
( spl0_96
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f928,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_96 ),
inference(resolution,[],[f918,f131]) ).
fof(f918,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X2) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f4340,plain,
( spl0_420
| ~ spl0_13
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f927,f917,f126,f4338]) ).
fof(f4338,plain,
( spl0_420
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f927,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_96 ),
inference(resolution,[],[f918,f127]) ).
fof(f4318,plain,
( spl0_419
| ~ spl0_1
| ~ spl0_193
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2214,f2085,f1924,f58,f4315]) ).
fof(f4315,plain,
( spl0_419
<=> sdtasdt0(xa,sz00) = sdtasdt0(sdtpldt0(xa,xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f2214,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sdtpldt0(xa,xa),sz00)
| ~ spl0_1
| ~ spl0_193
| ~ spl0_213 ),
inference(forward_demodulation,[],[f2210,f1969]) ).
fof(f2210,plain,
( sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(xa,sz00)) = sdtasdt0(sdtpldt0(xa,xa),sz00)
| ~ spl0_1
| ~ spl0_213 ),
inference(resolution,[],[f2086,f60]) ).
fof(f4307,plain,
( spl0_418
| ~ spl0_14
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f914,f901,f130,f4305]) ).
fof(f4305,plain,
( spl0_418
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f901,plain,
( spl0_95
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f914,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_95 ),
inference(resolution,[],[f902,f131]) ).
fof(f902,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aInteger0(X2) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f4303,plain,
( spl0_417
| ~ spl0_13
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f913,f901,f126,f4301]) ).
fof(f4301,plain,
( spl0_417
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_95 ),
inference(resolution,[],[f902,f127]) ).
fof(f4299,plain,
( spl0_416
| ~ spl0_14
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f908,f897,f130,f4297]) ).
fof(f4297,plain,
( spl0_416
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f897,plain,
( spl0_94
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f908,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_94 ),
inference(resolution,[],[f898,f131]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aInteger0(X2) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f4295,plain,
( spl0_415
| ~ spl0_13
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f907,f897,f126,f4293]) ).
fof(f4293,plain,
( spl0_415
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f907,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_94 ),
inference(resolution,[],[f898,f127]) ).
fof(f4265,plain,
( spl0_414
| ~ spl0_6
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f933,f921,f82,f4263]) ).
fof(f4263,plain,
( spl0_414
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))),sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f933,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))),sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_97 ),
inference(resolution,[],[f922,f83]) ).
fof(f4261,plain,
( spl0_413
| ~ spl0_1
| ~ spl0_3
| ~ spl0_61
| ~ spl0_193
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2131,f2052,f1924,f517,f68,f58,f4258]) ).
fof(f2131,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtpldt0(xa,xa))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_61
| ~ spl0_193
| ~ spl0_205 ),
inference(forward_demodulation,[],[f2130,f1969]) ).
fof(f2130,plain,
( sdtpldt0(sdtasdt0(xa,sz00),sdtasdt0(xa,sz00)) = sdtasdt0(sz00,sdtpldt0(xa,xa))
| ~ spl0_3
| ~ spl0_61
| ~ spl0_205 ),
inference(forward_demodulation,[],[f2124,f519]) ).
fof(f2124,plain,
( sdtasdt0(sz00,sdtpldt0(xa,xa)) = sdtpldt0(sdtasdt0(sz00,xa),sdtasdt0(sz00,xa))
| ~ spl0_3
| ~ spl0_205 ),
inference(resolution,[],[f2053,f70]) ).
fof(f4256,plain,
( spl0_412
| ~ spl0_6
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f926,f917,f82,f4254]) ).
fof(f4254,plain,
( spl0_412
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))),sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f926,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))),sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_96 ),
inference(resolution,[],[f918,f83]) ).
fof(f4252,plain,
( spl0_411
| ~ spl0_14
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f851,f844,f130,f4250]) ).
fof(f4250,plain,
( spl0_411
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))),sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f844,plain,
( spl0_89
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f851,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))),sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_89 ),
inference(resolution,[],[f845,f131]) ).
fof(f845,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2))) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f4248,plain,
( spl0_410
| ~ spl0_13
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f850,f844,f126,f4246]) ).
fof(f4246,plain,
( spl0_410
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))),sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f850,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))),sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_89 ),
inference(resolution,[],[f845,f127]) ).
fof(f4202,plain,
( spl0_409
| ~ spl0_3
| ~ spl0_28
| ~ spl0_61
| ~ spl0_114
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2120,f2048,f1021,f517,f253,f68,f4199]) ).
fof(f2120,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz00,sdtpldt0(sz10,xa))
| ~ spl0_3
| ~ spl0_28
| ~ spl0_61
| ~ spl0_114
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2119,f1119]) ).
fof(f1119,plain,
( sdtasdt0(xa,sz00) = sdtpldt0(sz00,sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_114 ),
inference(resolution,[],[f1022,f70]) ).
fof(f2119,plain,
( sdtpldt0(sz00,sdtasdt0(xa,sz00)) = sdtasdt0(sz00,sdtpldt0(sz10,xa))
| ~ spl0_3
| ~ spl0_28
| ~ spl0_61
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2118,f255]) ).
fof(f2118,plain,
( sdtasdt0(sz00,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_61
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2112,f519]) ).
fof(f2112,plain,
( sdtasdt0(sz00,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,xa))
| ~ spl0_3
| ~ spl0_204 ),
inference(resolution,[],[f2049,f70]) ).
fof(f4191,plain,
( spl0_408
| ~ spl0_14
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f894,f867,f130,f4189]) ).
fof(f4189,plain,
( spl0_408
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f867,plain,
( spl0_93
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f894,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_93 ),
inference(resolution,[],[f868,f131]) ).
fof(f868,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X2) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f4187,plain,
( spl0_407
| ~ spl0_13
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f893,f867,f126,f4185]) ).
fof(f4185,plain,
( spl0_407
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f893,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_93 ),
inference(resolution,[],[f868,f127]) ).
fof(f4183,plain,
( spl0_406
| ~ spl0_14
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f888,f863,f130,f4181]) ).
fof(f4181,plain,
( spl0_406
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f863,plain,
( spl0_92
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f888,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_92 ),
inference(resolution,[],[f864,f131]) ).
fof(f864,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X2) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f4179,plain,
( spl0_405
| ~ spl0_13
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f887,f863,f126,f4177]) ).
fof(f4177,plain,
( spl0_405
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f887,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_92 ),
inference(resolution,[],[f864,f127]) ).
fof(f4175,plain,
( spl0_404
| ~ spl0_14
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f882,f859,f130,f4173]) ).
fof(f4173,plain,
( spl0_404
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f859,plain,
( spl0_91
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f882,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_91 ),
inference(resolution,[],[f860,f131]) ).
fof(f860,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X2) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f4171,plain,
( spl0_403
| ~ spl0_13
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f881,f859,f126,f4169]) ).
fof(f4169,plain,
( spl0_403
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f881,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_91 ),
inference(resolution,[],[f860,f127]) ).
fof(f4167,plain,
( spl0_402
| ~ spl0_14
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f874,f855,f130,f4165]) ).
fof(f4165,plain,
( spl0_402
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f855,plain,
( spl0_90
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f874,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_14
| ~ spl0_90 ),
inference(resolution,[],[f856,f131]) ).
fof(f856,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X2) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f4163,plain,
( spl0_401
| ~ spl0_13
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f873,f855,f126,f4161]) ).
fof(f4161,plain,
( spl0_401
<=> ! [X2,X4,X0,X3,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4)))
| ~ aInteger0(X2)
| ~ aInteger0(X4)
| ~ aInteger0(X3) )
| ~ spl0_13
| ~ spl0_90 ),
inference(resolution,[],[f856,f127]) ).
fof(f4152,plain,
( spl0_400
| ~ spl0_1
| ~ spl0_3
| ~ spl0_42
| ~ spl0_115
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f2002,f1936,f1025,f346,f68,f58,f4149]) ).
fof(f2002,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sdtpldt0(sz10,xa),sz00)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_42
| ~ spl0_115
| ~ spl0_196 ),
inference(forward_demodulation,[],[f2001,f1126]) ).
fof(f1126,plain,
( sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,sz00),sz00)
| ~ spl0_3
| ~ spl0_115 ),
inference(resolution,[],[f1026,f70]) ).
fof(f2001,plain,
( sdtpldt0(sdtasdt0(xa,sz00),sz00) = sdtasdt0(sdtpldt0(sz10,xa),sz00)
| ~ spl0_1
| ~ spl0_42
| ~ spl0_196 ),
inference(forward_demodulation,[],[f1996,f348]) ).
fof(f1996,plain,
( sdtpldt0(sdtasdt0(xa,sz00),sz00) = sdtasdt0(sdtpldt0(xa,sz10),sz00)
| ~ spl0_1
| ~ spl0_196 ),
inference(resolution,[],[f1937,f60]) ).
fof(f4128,plain,
( spl0_399
| ~ spl0_6
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f912,f901,f82,f4126]) ).
fof(f4126,plain,
( spl0_399
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f912,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_95 ),
inference(resolution,[],[f902,f83]) ).
fof(f4124,plain,
( spl0_398
| ~ spl0_6
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f906,f897,f82,f4122]) ).
fof(f4122,plain,
( spl0_398
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_94 ),
inference(resolution,[],[f898,f83]) ).
fof(f4120,plain,
( spl0_397
| ~ spl0_14
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f840,f833,f130,f4118]) ).
fof(f4118,plain,
( spl0_397
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f833,plain,
( spl0_88
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f840,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_88 ),
inference(resolution,[],[f834,f131]) ).
fof(f834,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2))) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f4116,plain,
( spl0_396
| ~ spl0_13
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f839,f833,f126,f4114]) ).
fof(f4114,plain,
( spl0_396
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f839,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_88 ),
inference(resolution,[],[f834,f127]) ).
fof(f4088,plain,
( spl0_395
| ~ spl0_2
| ~ spl0_24
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1889,f1808,f229,f63,f4085]) ).
fof(f1889,plain,
( sdtpldt0(xa,xa) = sdtasdt0(sdtpldt0(sz10,sz10),xa)
| ~ spl0_2
| ~ spl0_24
| ~ spl0_186 ),
inference(forward_demodulation,[],[f1881,f231]) ).
fof(f1881,plain,
( sdtasdt0(sdtpldt0(sz10,sz10),xa) = sdtpldt0(sdtasdt0(sz10,xa),xa)
| ~ spl0_2
| ~ spl0_186 ),
inference(resolution,[],[f1809,f65]) ).
fof(f4013,plain,
( spl0_394
| ~ spl0_2
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f932,f921,f63,f4011]) ).
fof(f4011,plain,
( spl0_394
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz10)),sdtasdt0(X0,sdtasdt0(X2,sz10)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f932,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz10)),sdtasdt0(X0,sdtasdt0(X2,sz10)))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_97 ),
inference(resolution,[],[f922,f65]) ).
fof(f4009,plain,
( spl0_393
| ~ spl0_3
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f931,f921,f68,f4007]) ).
fof(f4007,plain,
( spl0_393
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz00)),sdtasdt0(X0,sdtasdt0(X2,sz00)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz00)),sdtasdt0(X0,sdtasdt0(X2,sz00)))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_97 ),
inference(resolution,[],[f922,f70]) ).
fof(f4005,plain,
( spl0_392
| ~ spl0_2
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f925,f917,f63,f4003]) ).
fof(f4003,plain,
( spl0_392
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz10)),sdtasdt0(X0,sdtpldt0(X2,sz10)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz10)),sdtasdt0(X0,sdtpldt0(X2,sz10)))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_96 ),
inference(resolution,[],[f918,f65]) ).
fof(f4001,plain,
( spl0_391
| ~ spl0_3
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f924,f917,f68,f3999]) ).
fof(f3999,plain,
( spl0_391
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz00)),sdtasdt0(X0,sdtpldt0(X2,sz00)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f924,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz00)),sdtasdt0(X0,sdtpldt0(X2,sz00)))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_96 ),
inference(resolution,[],[f918,f70]) ).
fof(f3997,plain,
( spl0_390
| ~ spl0_6
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f892,f867,f82,f3995]) ).
fof(f3995,plain,
( spl0_390
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f892,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_93 ),
inference(resolution,[],[f868,f83]) ).
fof(f3993,plain,
( spl0_389
| ~ spl0_6
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f886,f863,f82,f3991]) ).
fof(f3991,plain,
( spl0_389
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_92 ),
inference(resolution,[],[f864,f83]) ).
fof(f3989,plain,
( spl0_388
| ~ spl0_6
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f880,f859,f82,f3987]) ).
fof(f3987,plain,
( spl0_388
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f880,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_91 ),
inference(resolution,[],[f860,f83]) ).
fof(f3985,plain,
( spl0_387
| ~ spl0_6
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f872,f855,f82,f3983]) ).
fof(f3983,plain,
( spl0_387
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f872,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3)))
| ~ aInteger0(X2)
| ~ aInteger0(X3) )
| ~ spl0_6
| ~ spl0_90 ),
inference(resolution,[],[f856,f83]) ).
fof(f3981,plain,
( spl0_386
| ~ spl0_6
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f849,f844,f82,f3979]) ).
fof(f3979,plain,
( spl0_386
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(smndt0(X2))),sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(smndt0(X2))),sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_89 ),
inference(resolution,[],[f845,f83]) ).
fof(f3977,plain,
( spl0_385
| ~ spl0_14
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f829,f810,f130,f3975]) ).
fof(f3975,plain,
( spl0_385
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f810,plain,
( spl0_86
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f829,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_86 ),
inference(resolution,[],[f811,f131]) ).
fof(f811,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f3972,plain,
( spl0_384
| ~ spl0_13
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f828,f810,f126,f3970]) ).
fof(f3970,plain,
( spl0_384
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_86 ),
inference(resolution,[],[f811,f127]) ).
fof(f3968,plain,
( spl0_383
| ~ spl0_14
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f817,f806,f130,f3966]) ).
fof(f3966,plain,
( spl0_383
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f806,plain,
( spl0_85
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f817,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_85 ),
inference(resolution,[],[f807,f131]) ).
fof(f807,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f3964,plain,
( spl0_382
| ~ spl0_13
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f816,f806,f126,f3962]) ).
fof(f3962,plain,
( spl0_382
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f816,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_85 ),
inference(resolution,[],[f807,f127]) ).
fof(f3945,plain,
( spl0_381
| ~ spl0_1
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f936,f921,f58,f3943]) ).
fof(f3943,plain,
( spl0_381
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xa)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xa)),sdtasdt0(X0,sdtasdt0(X2,xa)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xa)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xa)),sdtasdt0(X0,sdtasdt0(X2,xa)))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_97 ),
inference(resolution,[],[f922,f60]) ).
fof(f3941,plain,
( spl0_380
| ~ spl0_1
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f929,f917,f58,f3939]) ).
fof(f3939,plain,
( spl0_380
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xa)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xa)),sdtasdt0(X0,sdtpldt0(X2,xa)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f929,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xa)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xa)),sdtasdt0(X0,sdtpldt0(X2,xa)))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_96 ),
inference(resolution,[],[f918,f60]) ).
fof(f3798,plain,
( spl0_379
| ~ spl0_2
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f911,f901,f63,f3796]) ).
fof(f3796,plain,
( spl0_379
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz10)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f911,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz10)))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_95 ),
inference(resolution,[],[f902,f65]) ).
fof(f3794,plain,
( spl0_378
| ~ spl0_3
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f910,f901,f68,f3792]) ).
fof(f3792,plain,
( spl0_378
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz00)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f910,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz00)))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_95 ),
inference(resolution,[],[f902,f70]) ).
fof(f3789,plain,
( spl0_377
| ~ spl0_2
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f905,f897,f63,f3787]) ).
fof(f3787,plain,
( spl0_377
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz10)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f905,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz10)))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_94 ),
inference(resolution,[],[f898,f65]) ).
fof(f3785,plain,
( spl0_376
| ~ spl0_3
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f904,f897,f68,f3783]) ).
fof(f3783,plain,
( spl0_376
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz00)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f904,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz00)))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_94 ),
inference(resolution,[],[f898,f70]) ).
fof(f3781,plain,
( spl0_375
| ~ spl0_6
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f838,f833,f82,f3779]) ).
fof(f3779,plain,
( spl0_375
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f838,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_88 ),
inference(resolution,[],[f834,f83]) ).
fof(f3777,plain,
( spl0_374
| ~ spl0_14
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f800,f740,f130,f3775]) ).
fof(f3775,plain,
( spl0_374
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f740,plain,
( spl0_83
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f800,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_83 ),
inference(resolution,[],[f741,f131]) ).
fof(f741,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X0) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f3773,plain,
( spl0_373
| ~ spl0_13
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f799,f740,f126,f3771]) ).
fof(f3771,plain,
( spl0_373
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f799,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_83 ),
inference(resolution,[],[f741,f127]) ).
fof(f3769,plain,
( spl0_372
| ~ spl0_14
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f793,f736,f130,f3767]) ).
fof(f3767,plain,
( spl0_372
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtasdt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f736,plain,
( spl0_82
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f793,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtasdt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_82 ),
inference(resolution,[],[f737,f131]) ).
fof(f737,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X0) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f3765,plain,
( spl0_371
| ~ spl0_13
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f792,f736,f126,f3763]) ).
fof(f3763,plain,
( spl0_371
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtpldt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f792,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtpldt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_82 ),
inference(resolution,[],[f737,f127]) ).
fof(f3761,plain,
( spl0_370
| ~ spl0_14
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f785,f732,f130,f3759]) ).
fof(f3759,plain,
( spl0_370
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f732,plain,
( spl0_81
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_81 ),
inference(resolution,[],[f733,f131]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f3757,plain,
( spl0_369
| ~ spl0_13
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f784,f732,f126,f3755]) ).
fof(f3755,plain,
( spl0_369
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f784,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_81 ),
inference(resolution,[],[f733,f127]) ).
fof(f3753,plain,
( spl0_368
| ~ spl0_14
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f776,f728,f130,f3751]) ).
fof(f3751,plain,
( spl0_368
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f728,plain,
( spl0_80
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f776,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_80 ),
inference(resolution,[],[f729,f131]) ).
fof(f729,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f3748,plain,
( spl0_367
| ~ spl0_13
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f775,f728,f126,f3746]) ).
fof(f3746,plain,
( spl0_367
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f775,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_80 ),
inference(resolution,[],[f729,f127]) ).
fof(f3744,plain,
( spl0_366
| ~ spl0_14
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f770,f724,f130,f3742]) ).
fof(f3742,plain,
( spl0_366
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f724,plain,
( spl0_79
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_79 ),
inference(resolution,[],[f725,f131]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X1) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f3740,plain,
( spl0_365
| ~ spl0_13
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f769,f724,f126,f3738]) ).
fof(f3738,plain,
( spl0_365
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_79 ),
inference(resolution,[],[f725,f127]) ).
fof(f3736,plain,
( spl0_364
| ~ spl0_14
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f764,f720,f130,f3734]) ).
fof(f3734,plain,
( spl0_364
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f720,plain,
( spl0_78
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f764,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_78 ),
inference(resolution,[],[f721,f131]) ).
fof(f721,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X1) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f3732,plain,
( spl0_363
| ~ spl0_13
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f763,f720,f126,f3730]) ).
fof(f3730,plain,
( spl0_363
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f763,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_78 ),
inference(resolution,[],[f721,f127]) ).
fof(f3728,plain,
( spl0_362
| ~ spl0_14
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f758,f716,f130,f3726]) ).
fof(f3726,plain,
( spl0_362
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f716,plain,
( spl0_77
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f758,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_77 ),
inference(resolution,[],[f717,f131]) ).
fof(f717,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X1) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f3724,plain,
( spl0_361
| ~ spl0_13
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f757,f716,f126,f3722]) ).
fof(f3722,plain,
( spl0_361
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f757,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_77 ),
inference(resolution,[],[f717,f127]) ).
fof(f3720,plain,
( spl0_360
| ~ spl0_14
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f747,f712,f130,f3718]) ).
fof(f3718,plain,
( spl0_360
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f712,plain,
( spl0_76
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f747,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_76 ),
inference(resolution,[],[f713,f131]) ).
fof(f713,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X1) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f3716,plain,
( spl0_359
| ~ spl0_13
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f746,f712,f126,f3714]) ).
fof(f3714,plain,
( spl0_359
<=> ! [X0,X3,X2,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f746,plain,
( ! [X2,X3,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_76 ),
inference(resolution,[],[f713,f127]) ).
fof(f3672,plain,
( spl0_358
| ~ spl0_1
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f915,f901,f58,f3670]) ).
fof(f3670,plain,
( spl0_358
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xa))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xa)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xa))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xa)))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_95 ),
inference(resolution,[],[f902,f60]) ).
fof(f3668,plain,
( spl0_357
| ~ spl0_1
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f909,f897,f58,f3666]) ).
fof(f3666,plain,
( spl0_357
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xa))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xa)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xa))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xa)))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_94 ),
inference(resolution,[],[f898,f60]) ).
fof(f3664,plain,
( spl0_356
| ~ spl0_14
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f707,f688,f130,f3662]) ).
fof(f3662,plain,
( spl0_356
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(sdtasdt0(X1,X2),xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f688,plain,
( spl0_74
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X1,xa))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f707,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(sdtasdt0(X1,X2),xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_74 ),
inference(resolution,[],[f689,f131]) ).
fof(f689,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X1,xa))
| ~ aInteger0(X0) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f3660,plain,
( spl0_355
| ~ spl0_13
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f706,f688,f126,f3658]) ).
fof(f3658,plain,
( spl0_355
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(sdtpldt0(X1,X2),xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f706,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(sdtpldt0(X1,X2),xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_74 ),
inference(resolution,[],[f689,f127]) ).
fof(f3656,plain,
( spl0_354
| ~ spl0_14
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f695,f684,f130,f3654]) ).
fof(f3654,plain,
( spl0_354
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xa)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f684,plain,
( spl0_73
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xa))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f695,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xa)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_73 ),
inference(resolution,[],[f685,f131]) ).
fof(f685,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f3652,plain,
( spl0_353
| ~ spl0_1
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1352,f1193,f58,f3649]) ).
fof(f3649,plain,
( spl0_353
<=> smndt0(smndt0(xa)) = sdtasdt0(sz10,smndt0(smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f1352,plain,
( smndt0(smndt0(xa)) = sdtasdt0(sz10,smndt0(smndt0(xa)))
| ~ spl0_1
| ~ spl0_127 ),
inference(resolution,[],[f1194,f60]) ).
fof(f3647,plain,
( spl0_352
| ~ spl0_13
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f694,f684,f126,f3645]) ).
fof(f3645,plain,
( spl0_352
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xa)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f694,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xa)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xa))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_73 ),
inference(resolution,[],[f685,f127]) ).
fof(f3569,plain,
( spl0_351
| ~ spl0_1
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1344,f1189,f58,f3566]) ).
fof(f3566,plain,
( spl0_351
<=> smndt0(smndt0(xa)) = sdtasdt0(smndt0(smndt0(xa)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f1344,plain,
( smndt0(smndt0(xa)) = sdtasdt0(smndt0(smndt0(xa)),sz10)
| ~ spl0_1
| ~ spl0_126 ),
inference(resolution,[],[f1190,f60]) ).
fof(f3508,plain,
( spl0_350
| ~ spl0_2
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f891,f867,f63,f3506]) ).
fof(f3506,plain,
( spl0_350
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz10))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz10))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f891,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz10))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz10))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_93 ),
inference(resolution,[],[f868,f65]) ).
fof(f3504,plain,
( spl0_349
| ~ spl0_1
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1336,f1185,f58,f3501]) ).
fof(f3501,plain,
( spl0_349
<=> smndt0(smndt0(xa)) = sdtpldt0(sz00,smndt0(smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f1336,plain,
( smndt0(smndt0(xa)) = sdtpldt0(sz00,smndt0(smndt0(xa)))
| ~ spl0_1
| ~ spl0_125 ),
inference(resolution,[],[f1186,f60]) ).
fof(f3499,plain,
( spl0_348
| ~ spl0_3
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f890,f867,f68,f3497]) ).
fof(f3497,plain,
( spl0_348
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz00))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz00))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f890,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz00))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz00))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_93 ),
inference(resolution,[],[f868,f70]) ).
fof(f3495,plain,
( spl0_347
| ~ spl0_2
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f885,f863,f63,f3493]) ).
fof(f3493,plain,
( spl0_347
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz10))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz10))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f885,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz10))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz10))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_92 ),
inference(resolution,[],[f864,f65]) ).
fof(f3491,plain,
( spl0_346
| ~ spl0_3
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f884,f863,f68,f3489]) ).
fof(f3489,plain,
( spl0_346
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz00))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz00))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f884,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz00))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz00))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_92 ),
inference(resolution,[],[f864,f70]) ).
fof(f3487,plain,
( spl0_345
| ~ spl0_2
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f879,f859,f63,f3485]) ).
fof(f3485,plain,
( spl0_345
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f879,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_91 ),
inference(resolution,[],[f860,f65]) ).
fof(f3483,plain,
( spl0_344
| ~ spl0_3
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f878,f859,f68,f3481]) ).
fof(f3481,plain,
( spl0_344
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f878,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_91 ),
inference(resolution,[],[f860,f70]) ).
fof(f3479,plain,
( spl0_343
| ~ spl0_2
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f871,f855,f63,f3477]) ).
fof(f3477,plain,
( spl0_343
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f871,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10))
| ~ aInteger0(X2) )
| ~ spl0_2
| ~ spl0_90 ),
inference(resolution,[],[f856,f65]) ).
fof(f3475,plain,
( spl0_342
| ~ spl0_3
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f870,f855,f68,f3473]) ).
fof(f3473,plain,
( spl0_342
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f870,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00))
| ~ aInteger0(X2) )
| ~ spl0_3
| ~ spl0_90 ),
inference(resolution,[],[f856,f70]) ).
fof(f3471,plain,
( spl0_341
| ~ spl0_6
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f827,f810,f82,f3469]) ).
fof(f3469,plain,
( spl0_341
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2)))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f827,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2)))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2)))
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_86 ),
inference(resolution,[],[f811,f83]) ).
fof(f3467,plain,
( spl0_340
| ~ spl0_6
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f815,f806,f82,f3465]) ).
fof(f3465,plain,
( spl0_340
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2)))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f815,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2)))
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_85 ),
inference(resolution,[],[f807,f83]) ).
fof(f3463,plain,
( spl0_339
| ~ spl0_14
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f678,f647,f130,f3461]) ).
fof(f3461,plain,
( spl0_339
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f647,plain,
( spl0_72
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f678,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_72 ),
inference(resolution,[],[f648,f131]) ).
fof(f648,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X0) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f3459,plain,
( spl0_338
| ~ spl0_1
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1328,f1176,f58,f3456]) ).
fof(f3456,plain,
( spl0_338
<=> smndt0(smndt0(xa)) = sdtpldt0(smndt0(smndt0(xa)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f1328,plain,
( smndt0(smndt0(xa)) = sdtpldt0(smndt0(smndt0(xa)),sz00)
| ~ spl0_1
| ~ spl0_123 ),
inference(resolution,[],[f1177,f60]) ).
fof(f3454,plain,
( spl0_337
| ~ spl0_13
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f677,f647,f126,f3452]) ).
fof(f3452,plain,
( spl0_337
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f677,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_72 ),
inference(resolution,[],[f648,f127]) ).
fof(f3450,plain,
( spl0_336
| ~ spl0_14
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f671,f643,f130,f3448]) ).
fof(f3448,plain,
( spl0_336
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz00)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f643,plain,
( spl0_71
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f671,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz00)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_71 ),
inference(resolution,[],[f644,f131]) ).
fof(f644,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
| ~ aInteger0(X0) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f3446,plain,
( spl0_335
| ~ spl0_13
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f670,f643,f126,f3444]) ).
fof(f3444,plain,
( spl0_335
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz00)) = sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f670,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz00)) = sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_71 ),
inference(resolution,[],[f644,f127]) ).
fof(f3442,plain,
( spl0_334
| ~ spl0_14
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f663,f639,f130,f3440]) ).
fof(f3440,plain,
( spl0_334
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f639,plain,
( spl0_70
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f663,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_70 ),
inference(resolution,[],[f640,f131]) ).
fof(f640,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X0) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f3438,plain,
( spl0_333
| ~ spl0_13
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f662,f639,f126,f3436]) ).
fof(f3436,plain,
( spl0_333
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f662,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_70 ),
inference(resolution,[],[f640,f127]) ).
fof(f3434,plain,
( spl0_332
| ~ spl0_14
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f654,f630,f130,f3432]) ).
fof(f3432,plain,
( spl0_332
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f630,plain,
( spl0_68
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f654,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_68 ),
inference(resolution,[],[f631,f131]) ).
fof(f631,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X0) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f3430,plain,
( spl0_331
| ~ spl0_13
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f653,f630,f126,f3428]) ).
fof(f3428,plain,
( spl0_331
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f653,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_68 ),
inference(resolution,[],[f631,f127]) ).
fof(f3371,plain,
( spl0_330
| ~ spl0_1
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f895,f867,f58,f3369]) ).
fof(f3369,plain,
( spl0_330
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xa))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xa))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f895,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xa))) = sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xa))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_93 ),
inference(resolution,[],[f868,f60]) ).
fof(f3367,plain,
( spl0_329
| ~ spl0_1
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f889,f863,f58,f3365]) ).
fof(f3365,plain,
( spl0_329
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xa))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xa))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f889,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xa))) = sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xa))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_92 ),
inference(resolution,[],[f864,f60]) ).
fof(f3363,plain,
( spl0_328
| ~ spl0_1
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f883,f859,f58,f3361]) ).
fof(f3361,plain,
( spl0_328
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xa))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xa))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f883,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xa))) = sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xa))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_91 ),
inference(resolution,[],[f860,f60]) ).
fof(f3359,plain,
( spl0_327
| ~ spl0_1
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f875,f855,f58,f3357]) ).
fof(f3357,plain,
( spl0_327
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xa))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xa))
| ~ aInteger0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xa))) = sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xa))
| ~ aInteger0(X2) )
| ~ spl0_1
| ~ spl0_90 ),
inference(resolution,[],[f856,f60]) ).
fof(f3355,plain,
( spl0_326
| ~ spl0_14
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f625,f611,f130,f3353]) ).
fof(f3353,plain,
( spl0_326
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xa)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f611,plain,
( spl0_67
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xa)) = sdtasdt0(sdtasdt0(X0,X1),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f625,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xa)) = sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_67 ),
inference(resolution,[],[f612,f131]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,sdtasdt0(X1,xa)) = sdtasdt0(sdtasdt0(X0,X1),xa)
| ~ aInteger0(X0) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f3350,plain,
( spl0_325
| ~ spl0_13
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f624,f611,f126,f3348]) ).
fof(f3348,plain,
( spl0_325
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xa)) = sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f624,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xa)) = sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_67 ),
inference(resolution,[],[f612,f127]) ).
fof(f3346,plain,
( spl0_324
| ~ spl0_14
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f618,f607,f130,f3344]) ).
fof(f3344,plain,
( spl0_324
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xa)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f607,plain,
( spl0_66
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X0,X1),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f618,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xa)) = sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_66 ),
inference(resolution,[],[f608,f131]) ).
fof(f608,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X0,X1),xa)
| ~ aInteger0(X0) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f3342,plain,
( spl0_323
| ~ spl0_13
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f617,f607,f126,f3340]) ).
fof(f3340,plain,
( spl0_323
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xa)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f617,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xa)) = sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_66 ),
inference(resolution,[],[f608,f127]) ).
fof(f3282,plain,
( spl0_322
| ~ spl0_2
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f848,f844,f63,f3280]) ).
fof(f848,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(sdtasdt0(X1,smndt0(sz10)),sdtasdt0(X0,smndt0(sz10))) )
| ~ spl0_2
| ~ spl0_89 ),
inference(resolution,[],[f845,f65]) ).
fof(f3278,plain,
( spl0_321
| ~ spl0_14
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f604,f579,f130,f3276]) ).
fof(f3276,plain,
( spl0_321
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f579,plain,
( spl0_65
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f604,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_65 ),
inference(resolution,[],[f580,f131]) ).
fof(f580,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f3274,plain,
( spl0_320
| ~ spl0_13
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f603,f579,f126,f3272]) ).
fof(f3272,plain,
( spl0_320
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f603,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_65 ),
inference(resolution,[],[f580,f127]) ).
fof(f3270,plain,
( spl0_319
| ~ spl0_14
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f598,f574,f130,f3268]) ).
fof(f3268,plain,
( spl0_319
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)),sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f574,plain,
( spl0_64
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f598,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)),sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_64 ),
inference(resolution,[],[f575,f131]) ).
fof(f575,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f3266,plain,
( spl0_318
| ~ spl0_13
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f597,f574,f126,f3264]) ).
fof(f3264,plain,
( spl0_318
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)),sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f597,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)),sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_64 ),
inference(resolution,[],[f575,f127]) ).
fof(f3262,plain,
( spl0_317
| ~ spl0_14
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f592,f570,f130,f3260]) ).
fof(f3260,plain,
( spl0_317
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f570,plain,
( spl0_63
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f592,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_63 ),
inference(resolution,[],[f571,f131]) ).
fof(f571,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f3258,plain,
( spl0_316
| ~ spl0_13
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f591,f570,f126,f3256]) ).
fof(f3256,plain,
( spl0_316
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f591,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_63 ),
inference(resolution,[],[f571,f127]) ).
fof(f3254,plain,
( spl0_315
| ~ spl0_14
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f586,f566,f130,f3252]) ).
fof(f3252,plain,
( spl0_315
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)),sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f566,plain,
( spl0_62
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)),sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_62 ),
inference(resolution,[],[f567,f131]) ).
fof(f567,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f3249,plain,
( spl0_314
| ~ spl0_13
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f585,f566,f126,f3247]) ).
fof(f3247,plain,
( spl0_314
<=> ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)),sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)),sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_62 ),
inference(resolution,[],[f567,f127]) ).
fof(f3238,plain,
( spl0_313
| ~ spl0_1
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f852,f844,f58,f3236]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xa)) = sdtpldt0(sdtasdt0(X1,smndt0(xa)),sdtasdt0(X0,smndt0(xa))) )
| ~ spl0_1
| ~ spl0_89 ),
inference(resolution,[],[f845,f60]) ).
fof(f3174,plain,
( spl0_312
| ~ spl0_3
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1141,f1033,f68,f3171]) ).
fof(f3107,plain,
( spl0_311
| ~ spl0_2
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1134,f1029,f63,f3104]) ).
fof(f3042,plain,
( spl0_310
| ~ spl0_1
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1131,f1025,f58,f3039]) ).
fof(f3039,plain,
( spl0_310
<=> sdtasdt0(xa,xa) = sdtpldt0(sdtasdt0(xa,xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f1131,plain,
( sdtasdt0(xa,xa) = sdtpldt0(sdtasdt0(xa,xa),sz00)
| ~ spl0_1
| ~ spl0_115 ),
inference(resolution,[],[f1026,f60]) ).
fof(f3025,plain,
( spl0_309
| ~ spl0_2
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f837,f833,f63,f3023]) ).
fof(f837,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sz10))) )
| ~ spl0_2
| ~ spl0_88 ),
inference(resolution,[],[f834,f65]) ).
fof(f3021,plain,
( spl0_308
| ~ spl0_6
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f798,f740,f82,f3019]) ).
fof(f798,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(smndt0(X1),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_83 ),
inference(resolution,[],[f741,f83]) ).
fof(f3017,plain,
( spl0_307
| ~ spl0_6
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f791,f736,f82,f3015]) ).
fof(f791,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(smndt0(X1),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_82 ),
inference(resolution,[],[f737,f83]) ).
fof(f3013,plain,
( spl0_306
| ~ spl0_6
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f783,f732,f82,f3011]) ).
fof(f783,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_81 ),
inference(resolution,[],[f733,f83]) ).
fof(f3009,plain,
( spl0_305
| ~ spl0_6
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f774,f728,f82,f3007]) ).
fof(f774,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_80 ),
inference(resolution,[],[f729,f83]) ).
fof(f3005,plain,
( spl0_304
| ~ spl0_6
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f768,f724,f82,f3003]) ).
fof(f768,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_79 ),
inference(resolution,[],[f725,f83]) ).
fof(f3001,plain,
( spl0_303
| ~ spl0_6
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f762,f720,f82,f2999]) ).
fof(f762,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_78 ),
inference(resolution,[],[f721,f83]) ).
fof(f2997,plain,
( spl0_302
| ~ spl0_6
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f756,f716,f82,f2995]) ).
fof(f756,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_77 ),
inference(resolution,[],[f717,f83]) ).
fof(f2993,plain,
( spl0_301
| ~ spl0_3
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1126,f1025,f68,f2990]) ).
fof(f2990,plain,
( spl0_301
<=> sdtasdt0(xa,sz00) = sdtpldt0(sdtasdt0(xa,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f2988,plain,
( spl0_300
| ~ spl0_6
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f745,f712,f82,f2986]) ).
fof(f745,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_76 ),
inference(resolution,[],[f713,f83]) ).
fof(f2984,plain,
( spl0_299
| ~ spl0_14
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f562,f495,f130,f2982]) ).
fof(f495,plain,
( spl0_60
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f562,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_60 ),
inference(resolution,[],[f496,f131]) ).
fof(f496,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f2980,plain,
( spl0_298
| ~ spl0_13
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f561,f495,f126,f2978]) ).
fof(f561,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_60 ),
inference(resolution,[],[f496,f127]) ).
fof(f2976,plain,
( spl0_297
| ~ spl0_14
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f555,f491,f130,f2974]) ).
fof(f491,plain,
( spl0_59
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f555,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_59 ),
inference(resolution,[],[f492,f131]) ).
fof(f492,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f2972,plain,
( spl0_296
| ~ spl0_13
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f554,f491,f126,f2970]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_59 ),
inference(resolution,[],[f492,f127]) ).
fof(f2968,plain,
( spl0_295
| ~ spl0_14
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f549,f487,f130,f2966]) ).
fof(f487,plain,
( spl0_58
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_58 ),
inference(resolution,[],[f488,f131]) ).
fof(f488,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f2964,plain,
( spl0_294
| ~ spl0_13
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f548,f487,f126,f2962]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_58 ),
inference(resolution,[],[f488,f127]) ).
fof(f2960,plain,
( spl0_293
| ~ spl0_14
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f543,f483,f130,f2958]) ).
fof(f483,plain,
( spl0_57
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f543,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_57 ),
inference(resolution,[],[f484,f131]) ).
fof(f484,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f2956,plain,
( spl0_292
| ~ spl0_13
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f542,f483,f126,f2954]) ).
fof(f542,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_57 ),
inference(resolution,[],[f484,f127]) ).
fof(f2952,plain,
( spl0_291
| ~ spl0_14
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f537,f479,f130,f2950]) ).
fof(f479,plain,
( spl0_56
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f537,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_56 ),
inference(resolution,[],[f480,f131]) ).
fof(f480,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f2948,plain,
( spl0_290
| ~ spl0_1
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1124,f1021,f58,f2945]) ).
fof(f2945,plain,
( spl0_290
<=> sdtasdt0(xa,xa) = sdtpldt0(sz00,sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f1124,plain,
( sdtasdt0(xa,xa) = sdtpldt0(sz00,sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_114 ),
inference(resolution,[],[f1022,f60]) ).
fof(f2943,plain,
( spl0_289
| ~ spl0_13
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f536,f479,f126,f2941]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_56 ),
inference(resolution,[],[f480,f127]) ).
fof(f2939,plain,
( spl0_288
| ~ spl0_14
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f531,f475,f130,f2937]) ).
fof(f475,plain,
( spl0_55
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f531,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_55 ),
inference(resolution,[],[f476,f131]) ).
fof(f476,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f2935,plain,
( spl0_287
| ~ spl0_13
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f530,f475,f126,f2933]) ).
fof(f530,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_55 ),
inference(resolution,[],[f476,f127]) ).
fof(f2931,plain,
( spl0_286
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f525,f471,f130,f2929]) ).
fof(f471,plain,
( spl0_54
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_54 ),
inference(resolution,[],[f472,f131]) ).
fof(f472,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f2927,plain,
( spl0_285
| ~ spl0_13
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f524,f471,f126,f2925]) ).
fof(f524,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_54 ),
inference(resolution,[],[f472,f127]) ).
fof(f2923,plain,
( spl0_284
| ~ spl0_14
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f514,f464,f130,f2921]) ).
fof(f464,plain,
( spl0_53
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f514,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_53 ),
inference(resolution,[],[f465,f131]) ).
fof(f465,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f2919,plain,
( spl0_283
| ~ spl0_13
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f513,f464,f126,f2917]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_53 ),
inference(resolution,[],[f465,f127]) ).
fof(f2915,plain,
( spl0_282
| ~ spl0_14
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f508,f460,f130,f2913]) ).
fof(f460,plain,
( spl0_52
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f508,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_52 ),
inference(resolution,[],[f461,f131]) ).
fof(f461,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f2911,plain,
( spl0_281
| ~ spl0_13
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f507,f460,f126,f2909]) ).
fof(f507,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_52 ),
inference(resolution,[],[f461,f127]) ).
fof(f2907,plain,
( spl0_280
| ~ spl0_14
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f502,f456,f130,f2905]) ).
fof(f456,plain,
( spl0_51
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f502,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_51 ),
inference(resolution,[],[f457,f131]) ).
fof(f457,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f2903,plain,
( spl0_279
| ~ spl0_3
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1119,f1021,f68,f2900]) ).
fof(f2900,plain,
( spl0_279
<=> sdtasdt0(xa,sz00) = sdtpldt0(sz00,sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f2898,plain,
( spl0_278
| ~ spl0_13
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f501,f456,f126,f2896]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_51 ),
inference(resolution,[],[f457,f127]) ).
fof(f2867,plain,
( spl0_277
| ~ spl0_1
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f841,f833,f58,f2865]) ).
fof(f841,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xa))) )
| ~ spl0_1
| ~ spl0_88 ),
inference(resolution,[],[f834,f60]) ).
fof(f2863,plain,
( spl0_276
| ~ spl0_6
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f705,f688,f82,f2861]) ).
fof(f705,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(smndt0(X1),xa))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_74 ),
inference(resolution,[],[f689,f83]) ).
fof(f2859,plain,
( spl0_275
| ~ spl0_6
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f693,f684,f82,f2857]) ).
fof(f693,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xa))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_73 ),
inference(resolution,[],[f685,f83]) ).
fof(f2833,plain,
( spl0_274
| ~ spl0_1
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1117,f1017,f58,f2830]) ).
fof(f2830,plain,
( spl0_274
<=> sdtasdt0(xa,xa) = sdtasdt0(sdtasdt0(xa,xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1117,plain,
( sdtasdt0(xa,xa) = sdtasdt0(sdtasdt0(xa,xa),sz10)
| ~ spl0_1
| ~ spl0_113 ),
inference(resolution,[],[f1018,f60]) ).
fof(f2799,plain,
( spl0_273
| ~ spl0_2
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f826,f810,f63,f2797]) ).
fof(f826,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(sz10))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(sz10)) )
| ~ spl0_2
| ~ spl0_86 ),
inference(resolution,[],[f811,f65]) ).
fof(f2795,plain,
( spl0_272
| ~ spl0_2
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f814,f806,f63,f2793]) ).
fof(f814,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(sz10)) )
| ~ spl0_2
| ~ spl0_85 ),
inference(resolution,[],[f807,f65]) ).
fof(f2791,plain,
( spl0_271
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f676,f647,f82,f2789]) ).
fof(f676,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz10))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_72 ),
inference(resolution,[],[f648,f83]) ).
fof(f2787,plain,
( spl0_270
| ~ spl0_6
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f669,f643,f82,f2785]) ).
fof(f669,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(smndt0(X1),sz00)) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz00)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_71 ),
inference(resolution,[],[f644,f83]) ).
fof(f2783,plain,
( spl0_269
| ~ spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f661,f639,f82,f2781]) ).
fof(f661,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz10)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_70 ),
inference(resolution,[],[f640,f83]) ).
fof(f2779,plain,
( spl0_268
| ~ spl0_6
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f652,f630,f82,f2777]) ).
fof(f652,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz00))
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_68 ),
inference(resolution,[],[f631,f83]) ).
fof(f2769,plain,
( spl0_267
| ~ spl0_3
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1112,f1017,f68,f2766]) ).
fof(f2766,plain,
( spl0_267
<=> sdtasdt0(xa,sz00) = sdtasdt0(sdtasdt0(xa,sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1112,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sdtasdt0(xa,sz00),sz10)
| ~ spl0_3
| ~ spl0_113 ),
inference(resolution,[],[f1018,f70]) ).
fof(f2738,plain,
( spl0_266
| ~ spl0_1
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f830,f810,f58,f2736]) ).
fof(f830,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X0,smndt0(xa))) = sdtasdt0(sdtasdt0(X1,X0),smndt0(xa)) )
| ~ spl0_1
| ~ spl0_86 ),
inference(resolution,[],[f811,f60]) ).
fof(f2734,plain,
( spl0_265
| ~ spl0_1
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f818,f806,f58,f2732]) ).
fof(f818,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(xa))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(xa)) )
| ~ spl0_1
| ~ spl0_85 ),
inference(resolution,[],[f807,f60]) ).
fof(f2730,plain,
( spl0_264
| ~ spl0_6
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f623,f611,f82,f2728]) ).
fof(f623,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(smndt0(X1),xa)) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_67 ),
inference(resolution,[],[f612,f83]) ).
fof(f2726,plain,
( spl0_263
| ~ spl0_6
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f616,f607,f82,f2724]) ).
fof(f616,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(smndt0(X1),xa)) = sdtpldt0(sdtpldt0(X0,smndt0(X1)),xa)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_66 ),
inference(resolution,[],[f608,f83]) ).
fof(f2669,plain,
( spl0_262
| ~ spl0_6
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f602,f579,f82,f2667]) ).
fof(f602,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(smndt0(X1),X0),smndt0(sdtasdt0(smndt0(X1),X0)))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_65 ),
inference(resolution,[],[f580,f83]) ).
fof(f2665,plain,
( spl0_261
| ~ spl0_6
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f596,f574,f82,f2663]) ).
fof(f596,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(X1),X0)),sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_64 ),
inference(resolution,[],[f575,f83]) ).
fof(f2661,plain,
( spl0_260
| ~ spl0_6
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f590,f570,f82,f2659]) ).
fof(f590,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(smndt0(X1),X0),smndt0(sdtpldt0(smndt0(X1),X0)))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_63 ),
inference(resolution,[],[f571,f83]) ).
fof(f2657,plain,
( spl0_259
| ~ spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f584,f566,f82,f2655]) ).
fof(f584,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(X1),X0)),sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_62 ),
inference(resolution,[],[f567,f83]) ).
fof(f2653,plain,
( spl0_258
| ~ spl0_14
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f452,f438,f130,f2651]) ).
fof(f438,plain,
( spl0_50
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f452,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_50 ),
inference(resolution,[],[f439,f131]) ).
fof(f439,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f2649,plain,
( spl0_257
| ~ spl0_3
| ~ spl0_25
| ~ spl0_28
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f2619,f2363,f253,f238,f68,f2646]) ).
fof(f2646,plain,
( spl0_257
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f2619,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sz10))
| ~ spl0_3
| ~ spl0_25
| ~ spl0_28
| ~ spl0_251 ),
inference(forward_demodulation,[],[f2618,f240]) ).
fof(f2618,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sz00,sdtpldt0(sz10,sz10))
| ~ spl0_3
| ~ spl0_28
| ~ spl0_251 ),
inference(forward_demodulation,[],[f2612,f255]) ).
fof(f2612,plain,
( sdtasdt0(sz00,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,sz10))
| ~ spl0_3
| ~ spl0_251 ),
inference(resolution,[],[f2364,f70]) ).
fof(f2644,plain,
( spl0_256
| ~ spl0_13
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f451,f438,f126,f2642]) ).
fof(f451,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_50 ),
inference(resolution,[],[f439,f127]) ).
fof(f2640,plain,
( spl0_255
| ~ spl0_14
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f445,f434,f130,f2638]) ).
fof(f434,plain,
( spl0_49
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f445,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_49 ),
inference(resolution,[],[f435,f131]) ).
fof(f435,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f2636,plain,
( spl0_254
| ~ spl0_13
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f444,f434,f126,f2634]) ).
fof(f444,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_49 ),
inference(resolution,[],[f435,f127]) ).
fof(f2493,plain,
( spl0_253
| ~ spl0_1
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1105,f1013,f58,f2490]) ).
fof(f2490,plain,
( spl0_253
<=> sdtasdt0(xa,xa) = sdtasdt0(sz10,sdtasdt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f1105,plain,
( sdtasdt0(xa,xa) = sdtasdt0(sz10,sdtasdt0(xa,xa))
| ~ spl0_1
| ~ spl0_112 ),
inference(resolution,[],[f1014,f60]) ).
fof(f2370,plain,
( spl0_252
| ~ spl0_3
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f789,f736,f68,f2368]) ).
fof(f2368,plain,
( spl0_252
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f789,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_82 ),
inference(resolution,[],[f737,f70]) ).
fof(f2365,plain,
( spl0_251
| ~ spl0_2
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f782,f732,f63,f2363]) ).
fof(f782,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_81 ),
inference(resolution,[],[f733,f65]) ).
fof(f2361,plain,
( spl0_250
| ~ spl0_2
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f767,f724,f63,f2359]) ).
fof(f2359,plain,
( spl0_250
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f767,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
| ~ aInteger0(X1) )
| ~ spl0_2
| ~ spl0_79 ),
inference(resolution,[],[f725,f65]) ).
fof(f2357,plain,
( spl0_249
| ~ spl0_3
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f766,f724,f68,f2355]) ).
fof(f766,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aInteger0(X1) )
| ~ spl0_3
| ~ spl0_79 ),
inference(resolution,[],[f725,f70]) ).
fof(f2353,plain,
( spl0_248
| ~ spl0_2
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f761,f720,f63,f2351]) ).
fof(f761,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aInteger0(X1) )
| ~ spl0_2
| ~ spl0_78 ),
inference(resolution,[],[f721,f65]) ).
fof(f2349,plain,
( spl0_247
| ~ spl0_3
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f760,f720,f68,f2347]) ).
fof(f2347,plain,
( spl0_247
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
| ~ aInteger0(X1) )
| ~ spl0_3
| ~ spl0_78 ),
inference(resolution,[],[f721,f70]) ).
fof(f2345,plain,
( spl0_246
| ~ spl0_2
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f755,f716,f63,f2343]) ).
fof(f2343,plain,
( spl0_246
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f755,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
| ~ aInteger0(X1) )
| ~ spl0_2
| ~ spl0_77 ),
inference(resolution,[],[f717,f65]) ).
fof(f2341,plain,
( spl0_245
| ~ spl0_3
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f754,f716,f68,f2339]) ).
fof(f754,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aInteger0(X1) )
| ~ spl0_3
| ~ spl0_77 ),
inference(resolution,[],[f717,f70]) ).
fof(f2337,plain,
( spl0_244
| ~ spl0_2
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f744,f712,f63,f2335]) ).
fof(f744,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aInteger0(X1) )
| ~ spl0_2
| ~ spl0_76 ),
inference(resolution,[],[f713,f65]) ).
fof(f2333,plain,
( spl0_243
| ~ spl0_3
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f743,f712,f68,f2331]) ).
fof(f2331,plain,
( spl0_243
<=> ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
| ~ aInteger0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f743,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
| ~ aInteger0(X1) )
| ~ spl0_3
| ~ spl0_76 ),
inference(resolution,[],[f713,f70]) ).
fof(f2329,plain,
( spl0_242
| ~ spl0_6
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f560,f495,f82,f2327]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_60 ),
inference(resolution,[],[f496,f83]) ).
fof(f2324,plain,
( spl0_241
| ~ spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f553,f491,f82,f2322]) ).
fof(f553,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_59 ),
inference(resolution,[],[f492,f83]) ).
fof(f2320,plain,
( spl0_240
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f547,f487,f82,f2318]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_58 ),
inference(resolution,[],[f488,f83]) ).
fof(f2316,plain,
( spl0_239
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f541,f483,f82,f2314]) ).
fof(f541,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_57 ),
inference(resolution,[],[f484,f83]) ).
fof(f2312,plain,
( spl0_238
| ~ spl0_6
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f535,f479,f82,f2310]) ).
fof(f535,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz10)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_56 ),
inference(resolution,[],[f480,f83]) ).
fof(f2308,plain,
( spl0_237
| ~ spl0_6
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f529,f475,f82,f2306]) ).
fof(f529,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_55 ),
inference(resolution,[],[f476,f83]) ).
fof(f2304,plain,
( spl0_236
| ~ spl0_6
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f523,f471,f82,f2302]) ).
fof(f523,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_54 ),
inference(resolution,[],[f472,f83]) ).
fof(f2300,plain,
( spl0_235
| ~ spl0_6
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f512,f464,f82,f2298]) ).
fof(f512,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_53 ),
inference(resolution,[],[f465,f83]) ).
fof(f2296,plain,
( spl0_234
| ~ spl0_6
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f506,f460,f82,f2294]) ).
fof(f506,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz10)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_52 ),
inference(resolution,[],[f461,f83]) ).
fof(f2292,plain,
( spl0_233
| ~ spl0_6
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f500,f456,f82,f2290]) ).
fof(f500,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(X1),X0))
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_51 ),
inference(resolution,[],[f457,f83]) ).
fof(f2288,plain,
( spl0_232
| ~ spl0_14
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f429,f367,f130,f2286]) ).
fof(f367,plain,
( spl0_47
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f429,plain,
( ! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_47 ),
inference(resolution,[],[f368,f131]) ).
fof(f368,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f2284,plain,
( spl0_231
| ~ spl0_2
| ~ spl0_25
| ~ spl0_30
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f2000,f1936,f263,f238,f63,f2281]) ).
fof(f263,plain,
( spl0_30
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2000,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_25
| ~ spl0_30
| ~ spl0_196 ),
inference(forward_demodulation,[],[f1999,f240]) ).
fof(f1999,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_30
| ~ spl0_196 ),
inference(forward_demodulation,[],[f1992,f265]) ).
fof(f265,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f1992,plain,
( sdtpldt0(sdtasdt0(sz10,sz00),sz00) = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_196 ),
inference(resolution,[],[f1937,f65]) ).
fof(f2279,plain,
( spl0_230
| ~ spl0_13
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f428,f367,f126,f2277]) ).
fof(f428,plain,
( ! [X0,X1] :
( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_47 ),
inference(resolution,[],[f368,f127]) ).
fof(f2275,plain,
( spl0_229
| ~ spl0_14
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f422,f363,f130,f2273]) ).
fof(f363,plain,
( spl0_46
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f422,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_46 ),
inference(resolution,[],[f364,f131]) ).
fof(f364,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f2271,plain,
( spl0_228
| ~ spl0_13
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f421,f363,f126,f2269]) ).
fof(f421,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_46 ),
inference(resolution,[],[f364,f127]) ).
fof(f2267,plain,
( spl0_227
| ~ spl0_14
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f415,f359,f130,f2265]) ).
fof(f359,plain,
( spl0_45
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f415,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_45 ),
inference(resolution,[],[f360,f131]) ).
fof(f360,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f2263,plain,
( spl0_226
| ~ spl0_13
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f414,f359,f126,f2261]) ).
fof(f414,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_45 ),
inference(resolution,[],[f360,f127]) ).
fof(f2259,plain,
( spl0_225
| ~ spl0_14
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f402,f355,f130,f2257]) ).
fof(f355,plain,
( spl0_44
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f402,plain,
( ! [X0,X1] :
( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_44 ),
inference(resolution,[],[f356,f131]) ).
fof(f356,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f2255,plain,
( spl0_224
| ~ spl0_13
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f401,f355,f126,f2253]) ).
fof(f401,plain,
( ! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_44 ),
inference(resolution,[],[f356,f127]) ).
fof(f2251,plain,
( spl0_223
| ~ spl0_14
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f395,f351,f130,f2249]) ).
fof(f351,plain,
( spl0_43
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f395,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_43 ),
inference(resolution,[],[f352,f131]) ).
fof(f352,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(sz10,smndt0(X0)) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f2247,plain,
( spl0_222
| ~ spl0_13
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f394,f351,f126,f2245]) ).
fof(f394,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_43 ),
inference(resolution,[],[f352,f127]) ).
fof(f2243,plain,
( spl0_221
| ~ spl0_14
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f388,f342,f130,f2241]) ).
fof(f342,plain,
( spl0_41
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f388,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_41 ),
inference(resolution,[],[f343,f131]) ).
fof(f343,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtasdt0(smndt0(X0),sz10) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f2239,plain,
( spl0_220
| ~ spl0_3
| ~ spl0_28
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1987,f1932,f253,f68,f2236]) ).
fof(f2236,plain,
( spl0_220
<=> sz00 = sdtpldt0(sdtasdt0(sz00,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1987,plain,
( sz00 = sdtpldt0(sdtasdt0(sz00,sz00),sz00)
| ~ spl0_3
| ~ spl0_28
| ~ spl0_195 ),
inference(forward_demodulation,[],[f1981,f255]) ).
fof(f1981,plain,
( sdtasdt0(sz00,sz10) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,sz10))
| ~ spl0_3
| ~ spl0_195 ),
inference(resolution,[],[f1933,f70]) ).
fof(f2234,plain,
( spl0_219
| ~ spl0_13
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f387,f342,f126,f2232]) ).
fof(f387,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_41 ),
inference(resolution,[],[f343,f127]) ).
fof(f2230,plain,
( spl0_218
| ~ spl0_14
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f381,f338,f130,f2228]) ).
fof(f338,plain,
( spl0_40
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f381,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_40 ),
inference(resolution,[],[f339,f131]) ).
fof(f339,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(sz00,smndt0(X0)) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f2226,plain,
( spl0_217
| ~ spl0_13
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f380,f338,f126,f2224]) ).
fof(f380,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_40 ),
inference(resolution,[],[f339,f127]) ).
fof(f2222,plain,
( spl0_216
| ~ spl0_14
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f374,f334,f130,f2220]) ).
fof(f334,plain,
( spl0_39
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f374,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_39 ),
inference(resolution,[],[f335,f131]) ).
fof(f335,plain,
( ! [X0] :
( ~ aInteger0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f2218,plain,
( spl0_215
| ~ spl0_13
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f373,f334,f126,f2216]) ).
fof(f373,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_39 ),
inference(resolution,[],[f335,f127]) ).
fof(f2167,plain,
( spl0_214
| ~ spl0_3
| ~ spl0_28
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1977,f1928,f253,f68,f2164]) ).
fof(f1977,plain,
( sz00 = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_28
| ~ spl0_194 ),
inference(forward_demodulation,[],[f1971,f255]) ).
fof(f1971,plain,
( sdtasdt0(sz00,sz10) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_194 ),
inference(resolution,[],[f1929,f70]) ).
fof(f2087,plain,
( spl0_213
| ~ spl0_1
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f794,f736,f58,f2085]) ).
fof(f794,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_82 ),
inference(resolution,[],[f737,f60]) ).
fof(f2082,plain,
( spl0_212
| ~ spl0_1
| ~ spl0_42
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f788,f732,f346,f58,f2080]) ).
fof(f788,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_42
| ~ spl0_81 ),
inference(forward_demodulation,[],[f786,f348]) ).
fof(f786,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xa,sz10)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_81 ),
inference(resolution,[],[f733,f60]) ).
fof(f2078,plain,
( spl0_211
| ~ spl0_1
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f771,f724,f58,f2076]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xa)) = sdtasdt0(sdtasdt0(X1,xa),X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_79 ),
inference(resolution,[],[f725,f60]) ).
fof(f2074,plain,
( spl0_210
| ~ spl0_1
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f765,f720,f58,f2072]) ).
fof(f765,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtasdt0(sdtpldt0(X1,xa),X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_78 ),
inference(resolution,[],[f721,f60]) ).
fof(f2070,plain,
( spl0_209
| ~ spl0_1
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f759,f716,f58,f2068]) ).
fof(f759,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xa)) = sdtpldt0(sdtasdt0(X1,xa),X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_77 ),
inference(resolution,[],[f717,f60]) ).
fof(f2066,plain,
( spl0_208
| ~ spl0_1
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f748,f712,f58,f2064]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X1,xa),X0)
| ~ aInteger0(X1) )
| ~ spl0_1
| ~ spl0_76 ),
inference(resolution,[],[f713,f60]) ).
fof(f2062,plain,
( spl0_207
| ~ spl0_3
| ~ spl0_61
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f709,f688,f517,f68,f2060]) ).
fof(f709,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_74 ),
inference(forward_demodulation,[],[f703,f519]) ).
fof(f703,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(sz00,xa))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_74 ),
inference(resolution,[],[f689,f70]) ).
fof(f2058,plain,
( spl0_206
| ~ spl0_1
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f708,f688,f58,f2056]) ).
fof(f708,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(xa,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_74 ),
inference(resolution,[],[f689,f60]) ).
fof(f2054,plain,
( spl0_205
| ~ spl0_1
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f696,f684,f58,f2052]) ).
fof(f696,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_73 ),
inference(resolution,[],[f685,f60]) ).
fof(f2050,plain,
( spl0_204
| ~ spl0_2
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f692,f684,f63,f2048]) ).
fof(f692,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_73 ),
inference(resolution,[],[f685,f65]) ).
fof(f2046,plain,
( spl0_203
| ~ spl0_14
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f330,f316,f130,f2044]) ).
fof(f316,plain,
( spl0_38
<=> ! [X0] :
( sdtasdt0(X0,xa) = sdtasdt0(xa,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f330,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(xa,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_38 ),
inference(resolution,[],[f317,f131]) ).
fof(f317,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtasdt0(xa,X0) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f2042,plain,
( spl0_202
| ~ spl0_1
| ~ spl0_23
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1980,f1928,f224,f58,f2039]) ).
fof(f2039,plain,
( spl0_202
<=> xa = sdtpldt0(xa,sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f1980,plain,
( xa = sdtpldt0(xa,sdtasdt0(xa,sz00))
| ~ spl0_1
| ~ spl0_23
| ~ spl0_194 ),
inference(forward_demodulation,[],[f1976,f226]) ).
fof(f1976,plain,
( sdtasdt0(xa,sz10) = sdtpldt0(sdtasdt0(xa,sz10),sdtasdt0(xa,sz00))
| ~ spl0_1
| ~ spl0_194 ),
inference(resolution,[],[f1929,f60]) ).
fof(f2037,plain,
( spl0_201
| ~ spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f329,f316,f126,f2035]) ).
fof(f329,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(xa,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_38 ),
inference(resolution,[],[f317,f127]) ).
fof(f2033,plain,
( spl0_200
| ~ spl0_14
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f323,f312,f130,f2031]) ).
fof(f312,plain,
( spl0_37
<=> ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(xa,X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f323,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(xa,sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_14
| ~ spl0_37 ),
inference(resolution,[],[f313,f131]) ).
fof(f313,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(xa,X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f2029,plain,
( spl0_199
| ~ spl0_13
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f322,f312,f126,f2027]) ).
fof(f322,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(xa,sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_13
| ~ spl0_37 ),
inference(resolution,[],[f313,f127]) ).
fof(f1946,plain,
( spl0_198
| ~ spl0_2
| ~ spl0_29
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f803,f740,f258,f63,f1944]) ).
fof(f258,plain,
( spl0_29
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f803,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_29
| ~ spl0_83 ),
inference(forward_demodulation,[],[f797,f260]) ).
fof(f260,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f797,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz10,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_83 ),
inference(resolution,[],[f741,f65]) ).
fof(f1942,plain,
( spl0_197
| ~ spl0_3
| ~ spl0_28
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f802,f740,f253,f68,f1940]) ).
fof(f802,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_28
| ~ spl0_83 ),
inference(forward_demodulation,[],[f796,f255]) ).
fof(f796,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz00,sz10))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_83 ),
inference(resolution,[],[f741,f70]) ).
fof(f1938,plain,
( spl0_196
| ~ spl0_2
| ~ spl0_30
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f795,f736,f263,f63,f1936]) ).
fof(f795,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_30
| ~ spl0_82 ),
inference(forward_demodulation,[],[f790,f265]) ).
fof(f790,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz10,sz00))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_82 ),
inference(resolution,[],[f737,f65]) ).
fof(f1934,plain,
( spl0_195
| ~ spl0_3
| ~ spl0_27
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f787,f732,f248,f68,f1932]) ).
fof(f787,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_27
| ~ spl0_81 ),
inference(forward_demodulation,[],[f781,f250]) ).
fof(f781,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_81 ),
inference(resolution,[],[f733,f70]) ).
fof(f1930,plain,
( spl0_194
| ~ spl0_2
| ~ spl0_26
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f779,f728,f243,f63,f1928]) ).
fof(f779,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_80 ),
inference(forward_demodulation,[],[f773,f245]) ).
fof(f773,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_80 ),
inference(resolution,[],[f729,f65]) ).
fof(f1926,plain,
( spl0_193
| ~ spl0_3
| ~ spl0_25
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f778,f728,f238,f68,f1924]) ).
fof(f778,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_25
| ~ spl0_80 ),
inference(forward_demodulation,[],[f772,f240]) ).
fof(f772,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz00)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_80 ),
inference(resolution,[],[f729,f70]) ).
fof(f1922,plain,
( spl0_192
| ~ spl0_3
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f667,f643,f68,f1920]) ).
fof(f667,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_71 ),
inference(resolution,[],[f644,f70]) ).
fof(f1918,plain,
( spl0_191
| ~ spl0_2
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f660,f639,f63,f1916]) ).
fof(f660,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_70 ),
inference(resolution,[],[f640,f65]) ).
fof(f1904,plain,
( spl0_190
| ~ spl0_3
| ~ spl0_24
| ~ spl0_27
| ~ spl0_61
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1888,f1808,f517,f248,f229,f68,f1901]) ).
fof(f1901,plain,
( spl0_190
<=> xa = sdtpldt0(sdtasdt0(xa,sz00),xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1888,plain,
( xa = sdtpldt0(sdtasdt0(xa,sz00),xa)
| ~ spl0_3
| ~ spl0_24
| ~ spl0_27
| ~ spl0_61
| ~ spl0_186 ),
inference(forward_demodulation,[],[f1887,f231]) ).
fof(f1887,plain,
( sdtasdt0(sz10,xa) = sdtpldt0(sdtasdt0(xa,sz00),xa)
| ~ spl0_3
| ~ spl0_27
| ~ spl0_61
| ~ spl0_186 ),
inference(forward_demodulation,[],[f1886,f250]) ).
fof(f1886,plain,
( sdtasdt0(sdtpldt0(sz00,sz10),xa) = sdtpldt0(sdtasdt0(xa,sz00),xa)
| ~ spl0_3
| ~ spl0_61
| ~ spl0_186 ),
inference(forward_demodulation,[],[f1880,f519]) ).
fof(f1880,plain,
( sdtasdt0(sdtpldt0(sz00,sz10),xa) = sdtpldt0(sdtasdt0(sz00,xa),xa)
| ~ spl0_3
| ~ spl0_186 ),
inference(resolution,[],[f1809,f70]) ).
fof(f1823,plain,
( spl0_189
| ~ spl0_1
| ~ spl0_23
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f804,f740,f224,f58,f1821]) ).
fof(f804,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xa)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_23
| ~ spl0_83 ),
inference(forward_demodulation,[],[f801,f226]) ).
fof(f801,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xa),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xa,sz10))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_83 ),
inference(resolution,[],[f741,f60]) ).
fof(f1819,plain,
( spl0_188
| ~ spl0_3
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1100,f1013,f68,f1816]) ).
fof(f1816,plain,
( spl0_188
<=> sdtasdt0(xa,sz00) = sdtasdt0(sz10,sdtasdt0(xa,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1100,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz10,sdtasdt0(xa,sz00))
| ~ spl0_3
| ~ spl0_112 ),
inference(resolution,[],[f1014,f70]) ).
fof(f1814,plain,
( spl0_187
| ~ spl0_1
| ~ spl0_15
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f780,f728,f134,f58,f1812]) ).
fof(f780,plain,
( ! [X0] :
( sdtasdt0(X0,xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_80 ),
inference(forward_demodulation,[],[f777,f136]) ).
fof(f777,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xa,sz00)) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X0,sz00))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_80 ),
inference(resolution,[],[f729,f60]) ).
fof(f1810,plain,
( spl0_186
| ~ spl0_2
| ~ spl0_24
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f710,f688,f229,f63,f1808]) ).
fof(f710,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xa) = sdtpldt0(sdtasdt0(X0,xa),xa)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_24
| ~ spl0_74 ),
inference(forward_demodulation,[],[f704,f231]) ).
fof(f704,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(sz10,xa))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_74 ),
inference(resolution,[],[f689,f65]) ).
fof(f1806,plain,
( spl0_185
| ~ spl0_3
| ~ spl0_20
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f697,f684,f187,f68,f1804]) ).
fof(f697,plain,
( ! [X0] :
( sdtasdt0(X0,xa) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_20
| ~ spl0_73 ),
inference(forward_demodulation,[],[f691,f189]) ).
fof(f691,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,xa)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xa))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_73 ),
inference(resolution,[],[f685,f70]) ).
fof(f1802,plain,
( spl0_184
| ~ spl0_1
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f672,f643,f58,f1800]) ).
fof(f672,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,sz00)) = sdtasdt0(sdtasdt0(X0,xa),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_71 ),
inference(resolution,[],[f644,f60]) ).
fof(f1798,plain,
( spl0_183
| ~ spl0_1
| ~ spl0_42
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f666,f639,f346,f58,f1796]) ).
fof(f666,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(X0,xa),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_42
| ~ spl0_70 ),
inference(forward_demodulation,[],[f664,f348]) ).
fof(f664,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xa,sz10)) = sdtpldt0(sdtpldt0(X0,xa),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_70 ),
inference(resolution,[],[f640,f60]) ).
fof(f1794,plain,
( spl0_182
| ~ spl0_3
| ~ spl0_61
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f627,f611,f517,f68,f1792]) ).
fof(f627,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xa) = sdtasdt0(X0,sdtasdt0(xa,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_67 ),
inference(forward_demodulation,[],[f621,f519]) ).
fof(f621,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,xa)) = sdtasdt0(sdtasdt0(X0,sz00),xa)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_67 ),
inference(resolution,[],[f612,f70]) ).
fof(f1790,plain,
( spl0_181
| ~ spl0_1
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f626,f611,f58,f1788]) ).
fof(f626,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xa,xa)) = sdtasdt0(sdtasdt0(X0,xa),xa)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_67 ),
inference(resolution,[],[f612,f60]) ).
fof(f1786,plain,
( spl0_180
| ~ spl0_1
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f619,f607,f58,f1784]) ).
fof(f619,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xa,xa)) = sdtpldt0(sdtpldt0(X0,xa),xa)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_66 ),
inference(resolution,[],[f608,f60]) ).
fof(f1782,plain,
( spl0_179
| ~ spl0_2
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f615,f607,f63,f1780]) ).
fof(f615,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xa)) = sdtpldt0(sdtpldt0(X0,sz10),xa)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_66 ),
inference(resolution,[],[f608,f65]) ).
fof(f1769,plain,
( spl0_178
| ~ spl0_2
| ~ spl0_42
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1099,f1009,f346,f63,f1766]) ).
fof(f1766,plain,
( spl0_178
<=> sdtpldt0(sz10,xa) = sdtpldt0(sdtpldt0(sz10,xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1099,plain,
( sdtpldt0(sz10,xa) = sdtpldt0(sdtpldt0(sz10,xa),sz00)
| ~ spl0_2
| ~ spl0_42
| ~ spl0_111 ),
inference(forward_demodulation,[],[f1093,f348]) ).
fof(f1093,plain,
( sdtpldt0(xa,sz10) = sdtpldt0(sdtpldt0(xa,sz10),sz00)
| ~ spl0_2
| ~ spl0_111 ),
inference(resolution,[],[f1010,f65]) ).
fof(f1691,plain,
( spl0_177
| ~ spl0_2
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f601,f579,f63,f1689]) ).
fof(f601,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) )
| ~ spl0_2
| ~ spl0_65 ),
inference(resolution,[],[f580,f65]) ).
fof(f1687,plain,
( spl0_176
| ~ spl0_1
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1097,f1009,f58,f1684]) ).
fof(f1684,plain,
( spl0_176
<=> sdtpldt0(xa,xa) = sdtpldt0(sdtpldt0(xa,xa),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1097,plain,
( sdtpldt0(xa,xa) = sdtpldt0(sdtpldt0(xa,xa),sz00)
| ~ spl0_1
| ~ spl0_111 ),
inference(resolution,[],[f1010,f60]) ).
fof(f1682,plain,
( spl0_175
| ~ spl0_3
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f600,f579,f68,f1680]) ).
fof(f600,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) )
| ~ spl0_3
| ~ spl0_65 ),
inference(resolution,[],[f580,f70]) ).
fof(f1678,plain,
( spl0_174
| ~ spl0_2
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f595,f574,f63,f1676]) ).
fof(f595,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_64 ),
inference(resolution,[],[f575,f65]) ).
fof(f1674,plain,
( spl0_173
| ~ spl0_3
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f594,f574,f68,f1672]) ).
fof(f594,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_64 ),
inference(resolution,[],[f575,f70]) ).
fof(f1670,plain,
( spl0_172
| ~ spl0_2
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f589,f570,f63,f1668]) ).
fof(f589,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) )
| ~ spl0_2
| ~ spl0_63 ),
inference(resolution,[],[f571,f65]) ).
fof(f1666,plain,
( spl0_171
| ~ spl0_3
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f588,f570,f68,f1664]) ).
fof(f588,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) )
| ~ spl0_3
| ~ spl0_63 ),
inference(resolution,[],[f571,f70]) ).
fof(f1662,plain,
( spl0_170
| ~ spl0_2
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f583,f566,f63,f1660]) ).
fof(f583,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_62 ),
inference(resolution,[],[f567,f65]) ).
fof(f1658,plain,
( spl0_169
| ~ spl0_3
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f582,f566,f68,f1656]) ).
fof(f582,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_62 ),
inference(resolution,[],[f567,f70]) ).
fof(f1654,plain,
( spl0_168
| ~ spl0_6
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f450,f438,f82,f1652]) ).
fof(f450,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_50 ),
inference(resolution,[],[f439,f83]) ).
fof(f1650,plain,
( spl0_167
| ~ spl0_6
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f443,f434,f82,f1648]) ).
fof(f443,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_49 ),
inference(resolution,[],[f435,f83]) ).
fof(f1639,plain,
( spl0_166
| ~ spl0_2
| ~ spl0_42
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1091,f1005,f346,f63,f1636]) ).
fof(f1636,plain,
( spl0_166
<=> sdtpldt0(sz10,xa) = sdtpldt0(sz00,sdtpldt0(sz10,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1091,plain,
( sdtpldt0(sz10,xa) = sdtpldt0(sz00,sdtpldt0(sz10,xa))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_110 ),
inference(forward_demodulation,[],[f1085,f348]) ).
fof(f1085,plain,
( sdtpldt0(xa,sz10) = sdtpldt0(sz00,sdtpldt0(xa,sz10))
| ~ spl0_2
| ~ spl0_110 ),
inference(resolution,[],[f1006,f65]) ).
fof(f1611,plain,
( spl0_165
| ~ spl0_1
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f605,f579,f58,f1609]) ).
fof(f605,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtasdt0(xa,X0),smndt0(sdtasdt0(xa,X0))) )
| ~ spl0_1
| ~ spl0_65 ),
inference(resolution,[],[f580,f60]) ).
fof(f1607,plain,
( spl0_164
| ~ spl0_1
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f599,f574,f58,f1605]) ).
fof(f599,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xa,X0)),sdtasdt0(xa,X0)) )
| ~ spl0_1
| ~ spl0_64 ),
inference(resolution,[],[f575,f60]) ).
fof(f1603,plain,
( spl0_163
| ~ spl0_1
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f593,f570,f58,f1601]) ).
fof(f593,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(sdtpldt0(xa,X0),smndt0(sdtpldt0(xa,X0))) )
| ~ spl0_1
| ~ spl0_63 ),
inference(resolution,[],[f571,f60]) ).
fof(f1599,plain,
( spl0_162
| ~ spl0_1
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f587,f566,f58,f1597]) ).
fof(f587,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xa,X0)),sdtpldt0(xa,X0)) )
| ~ spl0_1
| ~ spl0_62 ),
inference(resolution,[],[f567,f60]) ).
fof(f1573,plain,
( spl0_161
| ~ spl0_1
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1089,f1005,f58,f1570]) ).
fof(f1570,plain,
( spl0_161
<=> sdtpldt0(xa,xa) = sdtpldt0(sz00,sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1089,plain,
( sdtpldt0(xa,xa) = sdtpldt0(sz00,sdtpldt0(xa,xa))
| ~ spl0_1
| ~ spl0_110 ),
inference(resolution,[],[f1006,f60]) ).
fof(f1487,plain,
( spl0_160
| ~ spl0_2
| ~ spl0_42
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1083,f1001,f346,f63,f1484]) ).
fof(f1484,plain,
( spl0_160
<=> sdtpldt0(sz10,xa) = sdtasdt0(sdtpldt0(sz10,xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1083,plain,
( sdtpldt0(sz10,xa) = sdtasdt0(sdtpldt0(sz10,xa),sz10)
| ~ spl0_2
| ~ spl0_42
| ~ spl0_109 ),
inference(forward_demodulation,[],[f1077,f348]) ).
fof(f1077,plain,
( sdtpldt0(xa,sz10) = sdtasdt0(sdtpldt0(xa,sz10),sz10)
| ~ spl0_2
| ~ spl0_109 ),
inference(resolution,[],[f1002,f65]) ).
fof(f1402,plain,
( spl0_159
| ~ spl0_1
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1081,f1001,f58,f1399]) ).
fof(f1399,plain,
( spl0_159
<=> sdtpldt0(xa,xa) = sdtasdt0(sdtpldt0(xa,xa),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1081,plain,
( sdtpldt0(xa,xa) = sdtasdt0(sdtpldt0(xa,xa),sz10)
| ~ spl0_1
| ~ spl0_109 ),
inference(resolution,[],[f1002,f60]) ).
fof(f1322,plain,
( spl0_158
| ~ spl0_2
| ~ spl0_29
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f681,f647,f258,f63,f1320]) ).
fof(f681,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_29
| ~ spl0_72 ),
inference(forward_demodulation,[],[f675,f260]) ).
fof(f675,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(X0,sdtasdt0(sz10,sz10))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_72 ),
inference(resolution,[],[f648,f65]) ).
fof(f1318,plain,
( spl0_157
| ~ spl0_2
| ~ spl0_42
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1075,f997,f346,f63,f1315]) ).
fof(f1315,plain,
( spl0_157
<=> sdtpldt0(sz10,xa) = sdtasdt0(sz10,sdtpldt0(sz10,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1075,plain,
( sdtpldt0(sz10,xa) = sdtasdt0(sz10,sdtpldt0(sz10,xa))
| ~ spl0_2
| ~ spl0_42
| ~ spl0_108 ),
inference(forward_demodulation,[],[f1069,f348]) ).
fof(f1069,plain,
( sdtpldt0(xa,sz10) = sdtasdt0(sz10,sdtpldt0(xa,sz10))
| ~ spl0_2
| ~ spl0_108 ),
inference(resolution,[],[f998,f65]) ).
fof(f1313,plain,
( spl0_156
| ~ spl0_3
| ~ spl0_28
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f680,f647,f253,f68,f1311]) ).
fof(f680,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_28
| ~ spl0_72 ),
inference(forward_demodulation,[],[f674,f255]) ).
fof(f674,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(X0,sdtasdt0(sz00,sz10))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_72 ),
inference(resolution,[],[f648,f70]) ).
fof(f1309,plain,
( spl0_155
| ~ spl0_2
| ~ spl0_30
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f673,f643,f263,f63,f1307]) ).
fof(f673,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_30
| ~ spl0_71 ),
inference(forward_demodulation,[],[f668,f265]) ).
fof(f668,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz10,sz00)) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_71 ),
inference(resolution,[],[f644,f65]) ).
fof(f1305,plain,
( spl0_154
| ~ spl0_3
| ~ spl0_27
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f665,f639,f248,f68,f1303]) ).
fof(f665,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_27
| ~ spl0_70 ),
inference(forward_demodulation,[],[f659,f250]) ).
fof(f659,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_70 ),
inference(resolution,[],[f640,f70]) ).
fof(f1301,plain,
( spl0_153
| ~ spl0_2
| ~ spl0_26
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f657,f630,f243,f63,f1299]) ).
fof(f657,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_68 ),
inference(forward_demodulation,[],[f651,f245]) ).
fof(f651,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(X0,sdtpldt0(sz10,sz00))
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_68 ),
inference(resolution,[],[f631,f65]) ).
fof(f1297,plain,
( spl0_152
| ~ spl0_3
| ~ spl0_25
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f656,f630,f238,f68,f1295]) ).
fof(f656,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_25
| ~ spl0_68 ),
inference(forward_demodulation,[],[f650,f240]) ).
fof(f650,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(X0,sdtpldt0(sz00,sz00))
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_68 ),
inference(resolution,[],[f631,f70]) ).
fof(f1293,plain,
( spl0_151
| ~ spl0_2
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f559,f495,f63,f1291]) ).
fof(f559,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl0_2
| ~ spl0_60 ),
inference(resolution,[],[f496,f65]) ).
fof(f1289,plain,
( spl0_150
| ~ spl0_2
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f552,f491,f63,f1287]) ).
fof(f552,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0) )
| ~ spl0_2
| ~ spl0_59 ),
inference(resolution,[],[f492,f65]) ).
fof(f1285,plain,
( spl0_149
| ~ spl0_2
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f546,f487,f63,f1283]) ).
fof(f546,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl0_2
| ~ spl0_58 ),
inference(resolution,[],[f488,f65]) ).
fof(f1281,plain,
( spl0_148
| ~ spl0_3
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f545,f487,f68,f1279]) ).
fof(f545,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl0_3
| ~ spl0_58 ),
inference(resolution,[],[f488,f70]) ).
fof(f1277,plain,
( spl0_147
| ~ spl0_2
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f540,f483,f63,f1275]) ).
fof(f540,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_57 ),
inference(resolution,[],[f484,f65]) ).
fof(f1273,plain,
( spl0_146
| ~ spl0_1
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1073,f997,f58,f1270]) ).
fof(f1270,plain,
( spl0_146
<=> sdtpldt0(xa,xa) = sdtasdt0(sz10,sdtpldt0(xa,xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1073,plain,
( sdtpldt0(xa,xa) = sdtasdt0(sz10,sdtpldt0(xa,xa))
| ~ spl0_1
| ~ spl0_108 ),
inference(resolution,[],[f998,f60]) ).
fof(f1268,plain,
( spl0_145
| ~ spl0_3
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f539,f483,f68,f1266]) ).
fof(f539,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_57 ),
inference(resolution,[],[f484,f70]) ).
fof(f1264,plain,
( spl0_144
| ~ spl0_2
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f534,f479,f63,f1262]) ).
fof(f534,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
| ~ spl0_2
| ~ spl0_56 ),
inference(resolution,[],[f480,f65]) ).
fof(f1260,plain,
( spl0_143
| ~ spl0_3
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f533,f479,f68,f1258]) ).
fof(f533,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
| ~ spl0_3
| ~ spl0_56 ),
inference(resolution,[],[f480,f70]) ).
fof(f1256,plain,
( spl0_142
| ~ spl0_2
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f528,f475,f63,f1254]) ).
fof(f528,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_55 ),
inference(resolution,[],[f476,f65]) ).
fof(f1252,plain,
( spl0_141
| ~ spl0_3
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f527,f475,f68,f1250]) ).
fof(f527,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_55 ),
inference(resolution,[],[f476,f70]) ).
fof(f1248,plain,
( spl0_140
| ~ spl0_2
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f522,f471,f63,f1246]) ).
fof(f522,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl0_2
| ~ spl0_54 ),
inference(resolution,[],[f472,f65]) ).
fof(f1244,plain,
( spl0_139
| ~ spl0_3
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f521,f471,f68,f1242]) ).
fof(f521,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl0_3
| ~ spl0_54 ),
inference(resolution,[],[f472,f70]) ).
fof(f1240,plain,
( spl0_138
| ~ spl0_2
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f511,f464,f63,f1238]) ).
fof(f511,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_53 ),
inference(resolution,[],[f465,f65]) ).
fof(f1236,plain,
( spl0_137
| ~ spl0_3
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f510,f464,f68,f1234]) ).
fof(f510,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_53 ),
inference(resolution,[],[f465,f70]) ).
fof(f1232,plain,
( spl0_136
| ~ spl0_2
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f505,f460,f63,f1230]) ).
fof(f505,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
| ~ spl0_2
| ~ spl0_52 ),
inference(resolution,[],[f461,f65]) ).
fof(f1228,plain,
( spl0_135
| ~ spl0_1
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1066,f993,f58,f1225]) ).
fof(f1066,plain,
( sdtasdt0(smndt0(xa),xa) = sdtasdt0(xa,smndt0(xa))
| ~ spl0_1
| ~ spl0_107 ),
inference(resolution,[],[f994,f60]) ).
fof(f1223,plain,
( spl0_134
| ~ spl0_3
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f504,f460,f68,f1221]) ).
fof(f504,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
| ~ spl0_3
| ~ spl0_52 ),
inference(resolution,[],[f461,f70]) ).
fof(f1219,plain,
( spl0_133
| ~ spl0_2
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f499,f456,f63,f1217]) ).
fof(f499,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_51 ),
inference(resolution,[],[f457,f65]) ).
fof(f1215,plain,
( spl0_132
| ~ spl0_3
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f498,f456,f68,f1213]) ).
fof(f498,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_51 ),
inference(resolution,[],[f457,f70]) ).
fof(f1211,plain,
( spl0_131
| ~ spl0_6
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f427,f367,f82,f1209]) ).
fof(f427,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_47 ),
inference(resolution,[],[f368,f83]) ).
fof(f1207,plain,
( spl0_130
| ~ spl0_6
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f420,f363,f82,f1205]) ).
fof(f420,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_46 ),
inference(resolution,[],[f364,f83]) ).
fof(f1203,plain,
( spl0_129
| ~ spl0_6
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f413,f359,f82,f1201]) ).
fof(f413,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_45 ),
inference(resolution,[],[f360,f83]) ).
fof(f1199,plain,
( spl0_128
| ~ spl0_6
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f400,f355,f82,f1197]) ).
fof(f400,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_44 ),
inference(resolution,[],[f356,f83]) ).
fof(f1195,plain,
( spl0_127
| ~ spl0_6
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f393,f351,f82,f1193]) ).
fof(f393,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_43 ),
inference(resolution,[],[f352,f83]) ).
fof(f1191,plain,
( spl0_126
| ~ spl0_6
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f386,f342,f82,f1189]) ).
fof(f386,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_41 ),
inference(resolution,[],[f343,f83]) ).
fof(f1187,plain,
( spl0_125
| ~ spl0_6
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f379,f338,f82,f1185]) ).
fof(f379,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_40 ),
inference(resolution,[],[f339,f83]) ).
fof(f1183,plain,
( spl0_124
| ~ spl0_2
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1062,f993,f63,f1180]) ).
fof(f1062,plain,
( sdtasdt0(smndt0(sz10),xa) = sdtasdt0(xa,smndt0(sz10))
| ~ spl0_2
| ~ spl0_107 ),
inference(resolution,[],[f994,f65]) ).
fof(f1178,plain,
( spl0_123
| ~ spl0_6
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f372,f334,f82,f1176]) ).
fof(f372,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_39 ),
inference(resolution,[],[f335,f83]) ).
fof(f1111,plain,
( spl0_122
| ~ spl0_2
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1053,f989,f63,f1108]) ).
fof(f1053,plain,
( sdtpldt0(smndt0(sz10),xa) = sdtpldt0(xa,smndt0(sz10))
| ~ spl0_2
| ~ spl0_106 ),
inference(resolution,[],[f990,f65]) ).
fof(f1051,plain,
( spl0_121
| ~ spl0_1
| ~ spl0_23
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f682,f647,f224,f58,f1049]) ).
fof(f682,plain,
( ! [X0] :
( sdtasdt0(X0,xa) = sdtasdt0(sdtasdt0(X0,xa),sz10)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_23
| ~ spl0_72 ),
inference(forward_demodulation,[],[f679,f226]) ).
fof(f679,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xa),sz10) = sdtasdt0(X0,sdtasdt0(xa,sz10))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_72 ),
inference(resolution,[],[f648,f60]) ).
fof(f1047,plain,
( spl0_120
| ~ spl0_1
| ~ spl0_15
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f658,f630,f134,f58,f1045]) ).
fof(f658,plain,
( ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(sdtpldt0(X0,xa),sz00)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_68 ),
inference(forward_demodulation,[],[f655,f136]) ).
fof(f655,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xa),sz00) = sdtpldt0(X0,sdtpldt0(xa,sz00))
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_68 ),
inference(resolution,[],[f631,f60]) ).
fof(f1043,plain,
( spl0_119
| ~ spl0_2
| ~ spl0_24
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f628,f611,f229,f63,f1041]) ).
fof(f628,plain,
( ! [X0] :
( sdtasdt0(X0,xa) = sdtasdt0(sdtasdt0(X0,sz10),xa)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_24
| ~ spl0_67 ),
inference(forward_demodulation,[],[f622,f231]) ).
fof(f622,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz10,xa)) = sdtasdt0(sdtasdt0(X0,sz10),xa)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_67 ),
inference(resolution,[],[f612,f65]) ).
fof(f1039,plain,
( spl0_118
| ~ spl0_3
| ~ spl0_20
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f620,f607,f187,f68,f1037]) ).
fof(f620,plain,
( ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(sdtpldt0(X0,sz00),xa)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_20
| ~ spl0_66 ),
inference(forward_demodulation,[],[f614,f189]) ).
fof(f614,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz00,xa)) = sdtpldt0(sdtpldt0(X0,sz00),xa)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_66 ),
inference(resolution,[],[f608,f70]) ).
fof(f1035,plain,
( spl0_117
| ~ spl0_1
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f563,f495,f58,f1033]) ).
fof(f563,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,smndt0(xa)) = sdtasdt0(smndt0(xa),X0) )
| ~ spl0_1
| ~ spl0_60 ),
inference(resolution,[],[f496,f60]) ).
fof(f1031,plain,
( spl0_116
| ~ spl0_1
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f556,f491,f58,f1029]) ).
fof(f556,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(xa)) = sdtpldt0(smndt0(xa),X0) )
| ~ spl0_1
| ~ spl0_59 ),
inference(resolution,[],[f492,f60]) ).
fof(f1027,plain,
( spl0_115
| ~ spl0_1
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f550,f487,f58,f1025]) ).
fof(f550,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtpldt0(sdtasdt0(xa,X0),sz00) )
| ~ spl0_1
| ~ spl0_58 ),
inference(resolution,[],[f488,f60]) ).
fof(f1023,plain,
( spl0_114
| ~ spl0_1
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f544,f483,f58,f1021]) ).
fof(f544,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtpldt0(sz00,sdtasdt0(xa,X0)) )
| ~ spl0_1
| ~ spl0_57 ),
inference(resolution,[],[f484,f60]) ).
fof(f1019,plain,
( spl0_113
| ~ spl0_1
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f538,f479,f58,f1017]) ).
fof(f538,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(sdtasdt0(xa,X0),sz10) )
| ~ spl0_1
| ~ spl0_56 ),
inference(resolution,[],[f480,f60]) ).
fof(f1015,plain,
( spl0_112
| ~ spl0_1
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f532,f475,f58,f1013]) ).
fof(f532,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(sz10,sdtasdt0(xa,X0)) )
| ~ spl0_1
| ~ spl0_55 ),
inference(resolution,[],[f476,f60]) ).
fof(f1011,plain,
( spl0_111
| ~ spl0_1
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f526,f471,f58,f1009]) ).
fof(f526,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtpldt0(sdtpldt0(xa,X0),sz00) )
| ~ spl0_1
| ~ spl0_54 ),
inference(resolution,[],[f472,f60]) ).
fof(f1007,plain,
( spl0_110
| ~ spl0_1
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f515,f464,f58,f1005]) ).
fof(f515,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtpldt0(sz00,sdtpldt0(xa,X0)) )
| ~ spl0_1
| ~ spl0_53 ),
inference(resolution,[],[f465,f60]) ).
fof(f1003,plain,
( spl0_109
| ~ spl0_1
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f509,f460,f58,f1001]) ).
fof(f509,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtasdt0(sdtpldt0(xa,X0),sz10) )
| ~ spl0_1
| ~ spl0_52 ),
inference(resolution,[],[f461,f60]) ).
fof(f999,plain,
( spl0_108
| ~ spl0_1
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f503,f456,f58,f997]) ).
fof(f503,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xa,X0) = sdtasdt0(sz10,sdtpldt0(xa,X0)) )
| ~ spl0_1
| ~ spl0_51 ),
inference(resolution,[],[f457,f60]) ).
fof(f995,plain,
( spl0_107
| ~ spl0_6
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f328,f316,f82,f993]) ).
fof(f328,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xa) = sdtasdt0(xa,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_38 ),
inference(resolution,[],[f317,f83]) ).
fof(f991,plain,
( spl0_106
| ~ spl0_6
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f321,f312,f82,f989]) ).
fof(f321,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xa) = sdtpldt0(xa,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_37 ),
inference(resolution,[],[f313,f83]) ).
fof(f985,plain,
( spl0_105
| ~ spl0_2
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f449,f438,f63,f982]) ).
fof(f982,plain,
( spl0_105
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f449,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl0_2
| ~ spl0_50 ),
inference(resolution,[],[f439,f65]) ).
fof(f980,plain,
( spl0_104
| ~ spl0_2
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f442,f434,f63,f977]) ).
fof(f977,plain,
( spl0_104
<=> sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f442,plain,
( sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_49 ),
inference(resolution,[],[f435,f65]) ).
fof(f973,plain,
( spl0_103
| ~ spl0_1
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f453,f438,f58,f970]) ).
fof(f970,plain,
( spl0_103
<=> sz00 = sdtpldt0(smndt0(smndt0(xa)),smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f453,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xa)),smndt0(xa))
| ~ spl0_1
| ~ spl0_50 ),
inference(resolution,[],[f439,f60]) ).
fof(f968,plain,
( spl0_102
| ~ spl0_1
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f446,f434,f58,f965]) ).
fof(f965,plain,
( spl0_102
<=> sz00 = sdtpldt0(smndt0(xa),smndt0(smndt0(xa))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f446,plain,
( sz00 = sdtpldt0(smndt0(xa),smndt0(smndt0(xa)))
| ~ spl0_1
| ~ spl0_49 ),
inference(resolution,[],[f435,f60]) ).
fof(f959,plain,
( spl0_101
| ~ spl0_2
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f392,f351,f63,f956]) ).
fof(f392,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl0_2
| ~ spl0_43 ),
inference(resolution,[],[f352,f65]) ).
fof(f954,plain,
( spl0_100
| ~ spl0_2
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f385,f342,f63,f951]) ).
fof(f385,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl0_2
| ~ spl0_41 ),
inference(resolution,[],[f343,f65]) ).
fof(f949,plain,
( spl0_99
| ~ spl0_2
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f378,f338,f63,f946]) ).
fof(f946,plain,
( spl0_99
<=> smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f378,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl0_2
| ~ spl0_40 ),
inference(resolution,[],[f339,f65]) ).
fof(f944,plain,
( spl0_98
| ~ spl0_2
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f371,f334,f63,f941]) ).
fof(f371,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl0_2
| ~ spl0_39 ),
inference(resolution,[],[f335,f65]) ).
fof(f923,plain,
( spl0_97
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f221,f208,f130,f921]) ).
fof(f208,plain,
( spl0_22
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f221,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f209,f131]) ).
fof(f209,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f919,plain,
( spl0_96
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f220,f208,f126,f917]) ).
fof(f220,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_22 ),
inference(resolution,[],[f209,f127]) ).
fof(f903,plain,
( spl0_95
| ~ spl0_14
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f215,f204,f130,f901]) ).
fof(f204,plain,
( spl0_21
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f215,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_21 ),
inference(resolution,[],[f205,f131]) ).
fof(f205,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f899,plain,
( spl0_94
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f214,f204,f126,f897]) ).
fof(f214,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_21 ),
inference(resolution,[],[f205,f127]) ).
fof(f869,plain,
( spl0_93
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f201,f183,f130,f867]) ).
fof(f183,plain,
( spl0_19
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f201,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_19 ),
inference(resolution,[],[f184,f131]) ).
fof(f184,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f865,plain,
( spl0_92
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f200,f183,f126,f863]) ).
fof(f200,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_19 ),
inference(resolution,[],[f184,f127]) ).
fof(f861,plain,
( spl0_91
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f195,f179,f130,f859]) ).
fof(f179,plain,
( spl0_18
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f195,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_14
| ~ spl0_18 ),
inference(resolution,[],[f180,f131]) ).
fof(f180,plain,
( ! [X2,X0,X1] :
( ~ aInteger0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f857,plain,
( spl0_90
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f194,f179,f126,f855]) ).
fof(f194,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X3)
| ~ aInteger0(X2) )
| ~ spl0_13
| ~ spl0_18 ),
inference(resolution,[],[f180,f127]) ).
fof(f846,plain,
( spl0_89
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f219,f208,f82,f844]) ).
fof(f219,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f209,f83]) ).
fof(f835,plain,
( spl0_88
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f213,f204,f82,f833]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f205,f83]) ).
fof(f824,plain,
( spl0_87
| ~ spl0_1
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f396,f351,f58,f821]) ).
fof(f396,plain,
( smndt0(xa) = sdtasdt0(sz10,smndt0(xa))
| ~ spl0_1
| ~ spl0_43 ),
inference(resolution,[],[f352,f60]) ).
fof(f812,plain,
( spl0_86
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f199,f183,f82,f810]) ).
fof(f199,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f184,f83]) ).
fof(f808,plain,
( spl0_85
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f193,f179,f82,f806]) ).
fof(f193,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(X2))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(X2) )
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f180,f83]) ).
fof(f753,plain,
( spl0_84
| ~ spl0_1
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f389,f342,f58,f750]) ).
fof(f389,plain,
( smndt0(xa) = sdtasdt0(smndt0(xa),sz10)
| ~ spl0_1
| ~ spl0_41 ),
inference(resolution,[],[f343,f60]) ).
fof(f742,plain,
( spl0_83
| ~ spl0_2
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f218,f208,f63,f740]) ).
fof(f218,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_22 ),
inference(resolution,[],[f209,f65]) ).
fof(f738,plain,
( spl0_82
| ~ spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f217,f208,f68,f736]) ).
fof(f217,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_22 ),
inference(resolution,[],[f209,f70]) ).
fof(f734,plain,
( spl0_81
| ~ spl0_2
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f212,f204,f63,f732]) ).
fof(f212,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_21 ),
inference(resolution,[],[f205,f65]) ).
fof(f730,plain,
( spl0_80
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f211,f204,f68,f728]) ).
fof(f211,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f205,f70]) ).
fof(f726,plain,
( spl0_79
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f176,f163,f130,f724]) ).
fof(f163,plain,
( spl0_17
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f176,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[],[f164,f131]) ).
fof(f164,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f722,plain,
( spl0_78
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f175,f163,f126,f720]) ).
fof(f175,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f164,f127]) ).
fof(f718,plain,
( spl0_77
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f170,f159,f130,f716]) ).
fof(f159,plain,
( spl0_16
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f170,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_14
| ~ spl0_16 ),
inference(resolution,[],[f160,f131]) ).
fof(f160,plain,
( ! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f714,plain,
( spl0_76
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f169,f159,f126,f712]) ).
fof(f169,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X2)
| ~ aInteger0(X1) )
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f160,f127]) ).
fof(f702,plain,
( spl0_75
| ~ spl0_1
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f382,f338,f58,f699]) ).
fof(f699,plain,
( spl0_75
<=> smndt0(xa) = sdtpldt0(sz00,smndt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f382,plain,
( smndt0(xa) = sdtpldt0(sz00,smndt0(xa))
| ~ spl0_1
| ~ spl0_40 ),
inference(resolution,[],[f339,f60]) ).
fof(f690,plain,
( spl0_74
| ~ spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f222,f208,f58,f688]) ).
fof(f222,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X1,xa))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_22 ),
inference(resolution,[],[f209,f60]) ).
fof(f686,plain,
( spl0_73
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f216,f204,f58,f684]) ).
fof(f216,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xa))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_21 ),
inference(resolution,[],[f205,f60]) ).
fof(f649,plain,
( spl0_72
| ~ spl0_2
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f198,f183,f63,f647]) ).
fof(f198,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_19 ),
inference(resolution,[],[f184,f65]) ).
fof(f645,plain,
( spl0_71
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f197,f183,f68,f643]) ).
fof(f197,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X0,X1),sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f184,f70]) ).
fof(f641,plain,
( spl0_70
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f192,f179,f63,f639]) ).
fof(f192,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X0,X1),sz10)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f180,f65]) ).
fof(f637,plain,
( spl0_69
| ~ spl0_1
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f375,f334,f58,f634]) ).
fof(f375,plain,
( smndt0(xa) = sdtpldt0(smndt0(xa),sz00)
| ~ spl0_1
| ~ spl0_39 ),
inference(resolution,[],[f335,f60]) ).
fof(f632,plain,
( spl0_68
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f191,f179,f68,f630]) ).
fof(f191,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_18 ),
inference(resolution,[],[f180,f70]) ).
fof(f613,plain,
( spl0_67
| ~ spl0_1
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f202,f183,f58,f611]) ).
fof(f202,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xa)) = sdtasdt0(sdtasdt0(X0,X1),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_19 ),
inference(resolution,[],[f184,f60]) ).
fof(f609,plain,
( spl0_66
| ~ spl0_1
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f196,f179,f58,f607]) ).
fof(f196,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xa)) = sdtpldt0(sdtpldt0(X0,X1),xa)
| ~ aInteger0(X1)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_18 ),
inference(resolution,[],[f180,f60]) ).
fof(f581,plain,
( spl0_65
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f153,f130,f118,f579]) ).
fof(f118,plain,
( spl0_11
<=> ! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f153,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f131,f119]) ).
fof(f119,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f576,plain,
( spl0_64
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f152,f130,f122,f574]) ).
fof(f122,plain,
( spl0_12
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f152,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[],[f131,f123]) ).
fof(f123,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f572,plain,
( spl0_63
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f147,f126,f118,f570]) ).
fof(f147,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f127,f119]) ).
fof(f568,plain,
( spl0_62
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f146,f126,f122,f566]) ).
fof(f146,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f127,f123]) ).
fof(f520,plain,
( spl0_61
| ~ spl0_3
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f326,f316,f68,f517]) ).
fof(f326,plain,
( sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa)
| ~ spl0_3
| ~ spl0_38 ),
inference(resolution,[],[f317,f70]) ).
fof(f497,plain,
( spl0_60
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f174,f163,f82,f495]) ).
fof(f174,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_17 ),
inference(resolution,[],[f164,f83]) ).
fof(f493,plain,
( spl0_59
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f168,f159,f82,f491]) ).
fof(f168,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) )
| ~ spl0_6
| ~ spl0_16 ),
inference(resolution,[],[f160,f83]) ).
fof(f489,plain,
( spl0_58
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f157,f130,f86,f487]) ).
fof(f86,plain,
( spl0_7
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f131,f87]) ).
fof(f87,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f485,plain,
( spl0_57
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f156,f130,f90,f483]) ).
fof(f90,plain,
( spl0_8
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f156,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl0_8
| ~ spl0_14 ),
inference(resolution,[],[f131,f91]) ).
fof(f91,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f481,plain,
( spl0_56
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f155,f130,f94,f479]) ).
fof(f94,plain,
( spl0_9
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f155,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f131,f95]) ).
fof(f95,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f477,plain,
( spl0_55
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f154,f130,f98,f475]) ).
fof(f98,plain,
( spl0_10
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f154,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f131,f99]) ).
fof(f99,plain,
( ! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f473,plain,
( spl0_54
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f151,f126,f86,f471]) ).
fof(f151,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f127,f87]) ).
fof(f466,plain,
( spl0_53
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f150,f126,f90,f464]) ).
fof(f150,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl0_8
| ~ spl0_13 ),
inference(resolution,[],[f127,f91]) ).
fof(f462,plain,
( spl0_52
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f149,f126,f94,f460]) ).
fof(f149,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f127,f95]) ).
fof(f458,plain,
( spl0_51
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f148,f126,f98,f456]) ).
fof(f148,plain,
( ! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f127,f99]) ).
fof(f440,plain,
( spl0_50
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f144,f122,f82,f438]) ).
fof(f144,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f123,f83]) ).
fof(f436,plain,
( spl0_49
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f140,f118,f82,f434]) ).
fof(f140,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f119,f83]) ).
fof(f410,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_35
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f376,f334,f298,f68,f407]) ).
fof(f407,plain,
( spl0_48
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f298,plain,
( spl0_35
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f376,plain,
( sz00 = smndt0(sz00)
| ~ spl0_3
| ~ spl0_35
| ~ spl0_39 ),
inference(forward_demodulation,[],[f370,f300]) ).
fof(f300,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f370,plain,
( smndt0(sz00) = sdtpldt0(smndt0(sz00),sz00)
| ~ spl0_3
| ~ spl0_39 ),
inference(resolution,[],[f335,f70]) ).
fof(f369,plain,
( spl0_47
| ~ spl0_2
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f173,f163,f63,f367]) ).
fof(f173,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f164,f65]) ).
fof(f365,plain,
( spl0_46
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f172,f163,f68,f363]) ).
fof(f172,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_17 ),
inference(resolution,[],[f164,f70]) ).
fof(f361,plain,
( spl0_45
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f167,f159,f63,f359]) ).
fof(f167,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aInteger0(X0) )
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f160,f65]) ).
fof(f357,plain,
( spl0_44
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f166,f159,f68,f355]) ).
fof(f166,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) )
| ~ spl0_3
| ~ spl0_16 ),
inference(resolution,[],[f160,f70]) ).
fof(f353,plain,
( spl0_43
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f115,f98,f82,f351]) ).
fof(f115,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f99,f83]) ).
fof(f349,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f320,f312,f63,f346]) ).
fof(f320,plain,
( sdtpldt0(sz10,xa) = sdtpldt0(xa,sz10)
| ~ spl0_2
| ~ spl0_37 ),
inference(resolution,[],[f313,f65]) ).
fof(f344,plain,
( spl0_41
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f111,f94,f82,f342]) ).
fof(f111,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f95,f83]) ).
fof(f340,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f107,f90,f82,f338]) ).
fof(f107,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f91,f83]) ).
fof(f336,plain,
( spl0_39
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f103,f86,f82,f334]) ).
fof(f103,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aInteger0(X0) )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f87,f83]) ).
fof(f318,plain,
( spl0_38
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f177,f163,f58,f316]) ).
fof(f177,plain,
( ! [X0] :
( sdtasdt0(X0,xa) = sdtasdt0(xa,X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f164,f60]) ).
fof(f314,plain,
( spl0_37
| ~ spl0_1
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f171,f159,f58,f312]) ).
fof(f171,plain,
( ! [X0] :
( sdtpldt0(X0,xa) = sdtpldt0(xa,X0)
| ~ aInteger0(X0) )
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f160,f60]) ).
fof(f306,plain,
( spl0_36
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f143,f122,f63,f303]) ).
fof(f143,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f123,f65]) ).
fof(f301,plain,
( spl0_35
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f142,f122,f68,f298]) ).
fof(f142,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f123,f70]) ).
fof(f296,plain,
( spl0_34
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f139,f118,f63,f293]) ).
fof(f139,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f119,f65]) ).
fof(f291,plain,
( spl0_33
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f138,f118,f68,f288]) ).
fof(f288,plain,
( spl0_33
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f138,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f119,f70]) ).
fof(f284,plain,
( spl0_32
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f145,f122,f58,f281]) ).
fof(f145,plain,
( sz00 = sdtpldt0(smndt0(xa),xa)
| ~ spl0_1
| ~ spl0_12 ),
inference(resolution,[],[f123,f60]) ).
fof(f279,plain,
( spl0_31
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f141,f118,f58,f276]) ).
fof(f141,plain,
( sz00 = sdtpldt0(xa,smndt0(xa))
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f119,f60]) ).
fof(f266,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f113,f98,f68,f263]) ).
fof(f113,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f99,f70]) ).
fof(f261,plain,
( spl0_29
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f110,f94,f63,f258]) ).
fof(f110,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f95,f65]) ).
fof(f256,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f109,f94,f68,f253]) ).
fof(f109,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f95,f70]) ).
fof(f251,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f106,f90,f63,f248]) ).
fof(f106,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f91,f65]) ).
fof(f246,plain,
( spl0_26
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f102,f86,f63,f243]) ).
fof(f102,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f87,f65]) ).
fof(f241,plain,
( spl0_25
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f101,f86,f68,f238]) ).
fof(f101,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f87,f70]) ).
fof(f232,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f116,f98,f58,f229]) ).
fof(f116,plain,
( xa = sdtasdt0(sz10,xa)
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f99,f60]) ).
fof(f227,plain,
( spl0_23
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f112,f94,f58,f224]) ).
fof(f112,plain,
( xa = sdtasdt0(xa,sz10)
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f95,f60]) ).
fof(f210,plain,
spl0_22,
inference(avatar_split_clause,[],[f56,f208]) ).
fof(f56,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
fof(f206,plain,
spl0_21,
inference(avatar_split_clause,[],[f55,f204]) ).
fof(f55,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f190,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f108,f90,f58,f187]) ).
fof(f108,plain,
( xa = sdtpldt0(sz00,xa)
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f91,f60]) ).
fof(f185,plain,
spl0_19,
inference(avatar_split_clause,[],[f54,f183]) ).
fof(f54,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f181,plain,
spl0_18,
inference(avatar_split_clause,[],[f53,f179]) ).
fof(f53,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f165,plain,
spl0_17,
inference(avatar_split_clause,[],[f52,f163]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f161,plain,
spl0_16,
inference(avatar_split_clause,[],[f51,f159]) ).
fof(f51,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f137,plain,
( spl0_15
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f104,f86,f58,f134]) ).
fof(f104,plain,
( xa = sdtpldt0(xa,sz00)
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f87,f60]) ).
fof(f132,plain,
spl0_14,
inference(avatar_split_clause,[],[f50,f130]) ).
fof(f50,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(f128,plain,
spl0_13,
inference(avatar_split_clause,[],[f49,f126]) ).
fof(f49,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(f124,plain,
spl0_12,
inference(avatar_split_clause,[],[f48,f122]) ).
fof(f48,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(f120,plain,
spl0_11,
inference(avatar_split_clause,[],[f47,f118]) ).
fof(f47,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f100,plain,
spl0_10,
inference(avatar_split_clause,[],[f46,f98]) ).
fof(f46,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
fof(f96,plain,
spl0_9,
inference(avatar_split_clause,[],[f45,f94]) ).
fof(f45,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f92,plain,
spl0_8,
inference(avatar_split_clause,[],[f44,f90]) ).
fof(f44,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f88,plain,
spl0_7,
inference(avatar_split_clause,[],[f43,f86]) ).
fof(f43,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f84,plain,
spl0_6,
inference(avatar_split_clause,[],[f42,f82]) ).
fof(f42,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(f80,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f38,f77,f73]) ).
fof(f38,plain,
( sz00 != sdtasdt0(sz00,xa)
| sz00 != sdtasdt0(xa,sz00) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( sz00 != sdtasdt0(sz00,xa)
| sz00 != sdtasdt0(xa,sz00) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,negated_conjecture,
~ ( sz00 = sdtasdt0(sz00,xa)
& sz00 = sdtasdt0(xa,sz00) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
( sz00 = sdtasdt0(sz00,xa)
& sz00 = sdtasdt0(xa,sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f71,plain,
spl0_3,
inference(avatar_split_clause,[],[f41,f68]) ).
fof(f41,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(f66,plain,
spl0_2,
inference(avatar_split_clause,[],[f40,f63]) ).
fof(f40,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(f61,plain,
spl0_1,
inference(avatar_split_clause,[],[f39,f58]) ).
fof(f39,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aInteger0(xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__419) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM421+1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 07:25:07 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (21299)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (21302)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (21303)WARNING: value z3 for option sas not known
% 0.15/0.39 % (21305)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (21303)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (21307)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 % (21301)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (21306)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 % (21304)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.41 TRYING [4]
% 0.22/0.41 TRYING [4]
% 0.22/0.45 TRYING [5]
% 0.22/0.46 TRYING [5]
% 0.22/0.52 TRYING [6]
% 1.65/0.61 TRYING [6]
% 2.51/0.72 TRYING [7]
% 3.90/0.92 % (21305)First to succeed.
% 3.99/0.96 % (21305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21299"
% 3.99/0.96 % (21305)Refutation found. Thanks to Tanya!
% 3.99/0.96 % SZS status Theorem for theBenchmark
% 3.99/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 3.99/0.98 % (21305)------------------------------
% 3.99/0.98 % (21305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.99/0.98 % (21305)Termination reason: Refutation
% 3.99/0.98
% 3.99/0.98 % (21305)Memory used [KB]: 8879
% 3.99/0.98 % (21305)Time elapsed: 0.573 s
% 3.99/0.98 % (21305)Instructions burned: 1095 (million)
% 3.99/0.98 % (21299)Success in time 0.619 s
%------------------------------------------------------------------------------