TSTP Solution File: LAT306+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT306+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:27:51 EDT 2024
% Result : Theorem 37.55s 5.73s
% Output : Refutation 37.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1825
% Syntax : Number of formulae : 6369 ( 255 unt; 0 def)
% Number of atoms : 31537 (3310 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 43897 (18729 ~;22787 |; 534 &)
% (1718 <=>; 128 =>; 0 <=; 1 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 1737 (1735 usr;1698 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 16 con; 0-3 aty)
% Number of variables : 6245 (6163 !; 82 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f50872,plain,
$false,
inference(avatar_sat_refutation,[],[f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f675,f680,f685,f690,f695,f700,f705,f710,f715,f720,f725,f730,f735,f740,f745,f750,f755,f760,f765,f770,f774,f778,f782,f786,f790,f794,f798,f802,f806,f810,f814,f818,f822,f826,f830,f834,f853,f861,f865,f870,f874,f878,f882,f886,f890,f894,f898,f902,f906,f910,f915,f919,f923,f927,f931,f944,f948,f952,f956,f960,f964,f968,f972,f976,f980,f984,f989,f999,f1003,f1007,f1011,f1015,f1019,f1023,f1027,f1032,f1036,f1071,f1075,f1079,f1083,f1087,f1091,f1095,f1099,f1103,f1122,f1126,f1130,f1134,f1139,f1143,f1147,f1151,f1155,f1159,f1163,f1167,f1171,f1175,f1181,f1191,f1212,f1216,f1220,f1224,f1228,f1232,f1236,f1240,f1245,f1285,f1289,f1294,f1298,f1302,f1306,f1310,f1314,f1318,f1322,f1328,f1356,f1360,f1364,f1384,f1388,f1392,f1406,f1410,f1414,f1418,f1422,f1447,f1451,f1455,f1459,f1463,f1500,f1504,f1524,f1528,f1544,f1548,f1556,f1560,f1564,f1568,f1572,f1609,f1613,f1629,f1633,f1641,f1645,f1650,f1656,f1661,f1665,f1669,f1677,f1682,f1687,f1692,f1697,f1702,f1707,f1712,f1717,f1722,f1727,f1733,f1738,f1753,f1759,f1783,f1789,f1816,f1823,f1834,f1839,f1846,f1851,f1857,f1864,f1869,f1875,f1879,f1883,f1890,f1915,f1924,f1929,f1934,f1947,f1967,f1972,f1977,f1982,f1986,f1990,f1994,f1998,f2002,f2006,f2025,f2029,f2033,f2044,f2049,f2053,f2057,f2065,f2069,f2073,f2077,f2082,f2087,f2093,f2099,f2122,f2145,f2152,f2158,f2163,f2170,f2175,f2179,f2183,f2187,f2191,f2195,f2200,f2214,f2219,f2223,f2227,f2232,f2237,f2242,f2249,f2256,f2260,f2264,f2268,f2272,f2276,f2280,f2284,f2288,f2292,f2296,f2320,f2325,f2395,f2399,f2403,f2408,f2419,f2426,f2437,f2444,f2455,f2471,f2475,f2479,f2483,f2487,f2491,f2496,f2501,f2566,f2570,f2574,f2579,f2584,f2589,f2595,f2600,f2665,f2669,f2673,f2677,f2681,f2685,f2689,f2693,f2791,f2795,f2799,f2803,f2807,f2811,f2816,f2820,f2824,f2828,f2832,f2836,f2840,f2844,f2848,f2924,f2941,f2945,f2949,f2953,f2957,f3015,f3019,f3023,f3027,f3031,f3035,f3039,f3043,f3048,f3053,f3057,f3061,f3065,f3069,f3132,f3218,f3222,f3227,f3231,f3235,f3239,f3304,f3308,f3312,f3316,f3320,f3324,f3328,f3332,f3397,f3404,f3408,f3412,f3438,f3450,f3454,f3458,f3462,f3466,f3494,f3498,f3502,f3538,f3542,f3547,f3551,f3555,f3647,f3651,f3655,f3687,f3691,f3695,f3763,f3767,f3772,f3777,f3781,f3785,f3789,f3848,f3852,f3875,f3879,f3883,f3887,f3937,f3941,f3945,f4006,f4010,f4038,f4042,f4046,f4050,f4054,f4058,f4062,f4211,f4215,f4219,f4223,f4232,f4236,f4241,f4247,f4252,f4258,f4267,f4273,f4278,f4283,f4289,f4306,f4312,f4315,f4345,f4356,f4374,f4392,f4396,f4492,f4503,f4509,f4518,f4528,f4537,f4551,f4566,f4618,f4670,f4675,f4727,f4779,f4787,f4794,f4804,f4808,f4812,f4816,f4820,f4841,f4850,f4859,f4868,f4878,f4884,f4892,f4898,f4906,f4912,f4920,f4927,f4934,f4941,f4956,f4963,f4969,f4981,f4996,f5000,f5001,f5005,f5009,f5024,f5039,f5043,f5053,f5059,f5064,f5070,f5082,f5084,f5094,f5099,f5100,f5101,f5102,f5137,f5138,f5414,f5448,f5465,f5489,f5506,f5560,f5566,f5572,f5592,f5613,f5619,f5625,f5631,f5637,f5643,f5648,f5654,f5660,f5665,f5669,f5673,f5699,f5716,f5720,f5724,f5761,f5766,f5772,f5777,f5792,f5798,f5813,f5820,f5826,f5830,f5835,f5839,f5843,f5847,f5851,f5855,f5859,f5863,f5867,f5871,f5875,f5879,f6133,f6138,f6144,f6149,f6155,f6164,f6170,f6175,f6181,f6190,f6196,f6201,f6207,f6216,f6222,f6227,f6233,f6238,f6255,f6260,f6264,f6268,f6272,f6276,f6281,f6285,f6289,f6293,f6348,f6362,f6366,f6370,f6374,f6378,f6382,f6386,f6390,f6394,f6399,f6403,f6407,f6411,f6415,f6419,f6423,f6427,f6431,f6435,f6439,f6443,f6448,f6459,f6478,f6483,f6506,f6511,f6521,f6886,f6890,f6894,f6899,f6913,f6918,f6932,f6937,f6941,f6945,f6949,f6953,f6957,f6961,f6965,f6980,f6996,f7001,f7016,f7020,f7024,f7028,f7033,f7038,f7043,f7048,f7053,f7058,f7062,f7066,f7070,f7074,f7078,f7082,f7086,f7090,f7094,f7590,f7722,f7725,f7729,f7734,f7755,f7759,f7763,f7767,f7768,f7772,f7777,f7829,f7847,f7899,f7951,f7956,f8008,f8026,f8078,f8130,f8138,f8146,f8155,f8163,f8167,f8186,f8235,f8239,f8243,f8247,f8300,f8305,f8326,f8331,f8352,f8358,f8362,f8383,f8387,f8391,f8395,f8399,f8403,f8488,f8524,f8528,f8532,f8536,f8540,f8544,f8549,f8553,f8557,f8561,f8565,f8569,f8573,f8577,f8581,f8585,f8607,f8612,f8618,f8626,f8632,f8640,f8646,f8654,f8660,f8665,f8673,f8680,f8687,f8694,f8701,f8708,f8713,f8720,f8727,f9344,f9348,f9352,f9356,f9360,f9364,f9368,f9372,f9376,f9380,f9384,f9962,f9967,f10003,f10008,f10047,f10051,f10055,f10059,f10063,f10067,f10071,f10075,f10166,f10170,f10174,f10178,f10182,f10186,f10190,f10194,f10199,f10203,f10207,f10211,f10718,f10775,f10781,f10796,f10802,f10839,f10843,f10847,f10851,f10855,f10859,f10863,f10867,f10871,f10875,f10882,f10886,f10890,f10894,f11013,f11017,f11018,f11146,f11150,f11154,f11158,f11162,f11166,f11170,f11174,f11175,f11203,f11217,f11227,f11277,f11288,f11292,f11327,f11364,f11400,f11414,f11451,f11503,f11555,f11607,f11617,f11653,f11657,f11693,f11728,f11764,f11800,f11806,f11811,f11821,f11827,f11837,f11844,f11853,f11860,f11876,f11914,f11955,f11970,f11985,f11989,f11994,f11998,f12002,f12006,f12236,f12240,f12253,f12257,f12261,f12265,f12269,f12273,f12277,f12281,f12285,f12289,f12294,f12298,f12302,f12306,f12310,f12555,f12559,f12563,f12567,f12571,f12575,f12579,f12583,f12587,f12591,f12595,f12603,f12734,f12800,f12804,f12808,f12812,f12816,f12820,f12824,f12828,f12835,f12839,f12843,f12847,f12851,f12855,f12859,f12863,f12867,f12871,f12876,f13345,f13349,f13350,f13358,f13362,f13506,f13510,f13514,f13515,f13539,f13559,f13579,f13583,f13587,f13591,f13600,f13604,f13608,f13612,f13616,f13620,f13624,f13628,f13812,f13816,f13820,f13824,f13828,f13832,f13836,f13840,f13844,f13853,f13857,f13861,f13865,f13869,f13873,f13877,f13881,f13885,f13889,f13893,f13909,f13923,f13929,f13933,f13937,f13941,f14350,f14465,f14767,f14771,f14775,f14776,f14792,f14862,f14866,f14870,f14874,f14875,f14980,f14984,f14988,f14992,f14996,f15000,f15004,f15008,f15009,f15059,f15063,f15067,f15071,f15332,f15718,f15722,f15726,f15730,f15734,f15738,f15742,f15746,f15789,f15832,f15836,f15840,f15844,f15887,f15935,f15939,f15943,f15947,f15951,f15994,f16354,f16358,f16362,f16366,f16370,f16374,f16643,f16777,f16781,f16785,f16789,f16793,f16797,f16801,f17027,f17031,f17035,f17044,f17050,f17056,f17066,f17070,f17075,f17079,f17083,f17087,f17091,f17095,f17099,f17103,f17107,f17111,f17115,f17119,f17123,f17127,f17131,f17177,f17223,f17227,f17231,f17235,f17239,f17285,f17331,f17335,f17339,f17343,f17599,f18408,f18551,f18555,f18559,f18563,f18567,f18571,f18575,f18579,f18583,f18618,f18928,f18932,f18936,f18940,f18945,f18949,f18953,f18957,f18961,f18965,f18969,f18973,f18977,f18981,f18985,f18990,f18994,f18998,f19002,f19006,f19010,f19014,f19018,f19022,f19026,f19030,f19035,f19206,f19801,f20081,f20085,f20089,f20093,f20097,f20101,f20105,f20109,f20113,f20117,f20121,f20125,f20129,f20133,f20137,f20141,f20145,f20266,f20398,f20402,f20406,f20410,f20414,f20418,f20666,f20670,f20674,f20678,f20682,f20686,f20690,f20694,f20698,f20702,f20711,f20715,f20719,f20723,f20727,f20731,f20735,f20739,f20743,f20747,f20751,f20755,f22294,f22444,f22448,f22452,f22456,f22460,f22464,f22468,f22472,f22476,f22480,f22484,f22488,f23316,f23320,f23324,f23328,f23337,f23341,f23345,f23349,f23353,f23357,f23361,f23365,f23369,f23373,f23377,f23381,f23385,f23389,f23393,f23397,f23401,f23405,f23409,f23413,f23417,f23421,f23425,f23429,f23433,f23437,f23441,f26880,f26884,f26888,f26892,f26901,f26905,f26909,f26913,f26917,f26921,f26925,f26929,f26933,f26937,f26946,f28239,f28243,f28247,f28251,f28299,f28303,f29021,f29025,f29074,f29078,f29082,f29086,f29090,f29094,f29098,f29102,f29106,f29110,f29159,f29163,f29167,f29171,f29932,f31205,f31209,f31213,f31217,f31613,f31617,f31621,f31625,f31629,f31633,f32064,f32068,f32096,f32445,f32451,f32472,f32494,f32497,f32525,f32532,f32564,f32574,f32578,f32579,f32797,f32801,f32805,f32809,f33143,f33262,f33266,f33270,f33274,f33278,f33282,f33286,f33290,f33291,f33311,f33331,f33353,f33373,f33390,f33394,f34188,f34303,f34307,f34311,f34315,f34319,f34323,f34327,f34331,f34332,f34336,f34340,f34344,f34348,f34352,f34356,f34360,f34364,f34368,f34369,f34373,f34377,f34381,f34385,f34389,f34393,f34397,f34620,f35620,f36620,f37072,f37076,f37080,f37084,f37088,f37089,f37093,f37097,f37101,f37105,f37109,f37113,f37117,f37121,f37125,f37126,f37134,f37138,f37916,f37936,f37956,f37978,f37998,f38015,f38019,f38813,f39036,f39041,f39042,f39047,f39051,f39071,f39091,f39136,f39141,f39146,f39151,f39160,f39169,f39196,f39200,f39206,f39222,f39237,f39525,f39815,f39826,f39831,f39836,f39845,f39854,f39859,f39869,f39878,f39887,f39896,f39901,f39910,f39919,f39928,f40297,f40302,f40307,f40312,f40317,f40322,f40327,f40357,f40362,f40367,f40382,f40395,f40403,f40408,f40413,f40422,f40435,f40440,f40444,f40448,f40452,f40456,f40460,f40464,f40469,f41510,f41526,f41569,f41573,f41577,f41586,f41600,f41605,f41610,f41616,f41625,f41635,f41640,f41644,f41648,f41652,f41656,f41660,f41664,f41668,f41672,f41676,f41681,f41835,f41865,f41872,f41876,f41880,f41884,f41888,f41892,f41897,f41904,f42939,f42957,f42968,f42972,f42976,f42980,f42984,f42988,f42992,f42993,f43065,f43069,f43074,f43079,f43084,f43089,f43094,f43099,f43104,f43109,f43114,f43119,f43124,f43129,f43135,f43140,f43148,f43153,f43187,f43192,f43242,f43250,f43265,f43277,f43282,f43287,f43292,f43410,f43435,f43439,f43443,f43447,f43451,f43456,f43460,f43500,f43514,f43519,f43538,f43618,f43698,f43702,f43714,f43718,f43730,f43734,f43766,f43770,f43774,f43778,f43783,f43790,f43953,f44012,f44020,f44035,f44040,f44055,f44059,f44063,f44067,f44072,f44078,f44083,f44089,f44094,f44099,f44105,f44110,f44292,f44479,f44490,f44494,f44498,f44503,f44512,f44521,f44887,f44960,f44965,f44970,f44976,f44982,f44987,f44992,f44997,f45002,f45008,f45013,f45018,f45025,f45105,f45185,f45189,f45190,f45191,f45192,f45196,f45200,f45205,f45213,f45226,f45237,f45243,f45256,f45262,f45273,f45279,f45287,f45298,f45305,f45316,f45849,f45940,f45944,f45948,f45952,f45956,f45960,f45964,f45968,f45972,f45976,f45980,f45984,f45988,f46060,f46065,f46137,f46142,f46146,f46150,f46154,f46158,f46162,f46166,f46170,f46175,f46961,f46965,f46969,f46973,f46977,f46982,f46986,f46991,f46997,f47002,f47008,f47013,f47019,f47024,f47029,f47035,f47064,f47071,f47096,f47102,f47134,f47139,f47143,f47147,f47151,f47155,f47159,f47163,f47178,f47183,f47198,f47203,f47207,f47211,f47215,f47219,f47223,f47227,f47231,f47235,f47239,f47243,f47247,f47251,f47255,f47259,f47265,f47271,f47278,f47283,f47289,f47295,f47301,f47305,f47309,f47313,f47319,f47325,f47331,f47338,f47343,f47349,f47355,f47359,f47363,f47368,f47381,f47392,f47397,f47409,f49090,f49173,f49256,f49339,f49345,f49350,f49439,f49446,f49457,f49464,f49473,f49478,f49483,f49488,f49493,f49499,f49504,f49509,f49514,f49519,f49524,f49529,f49826,f49830,f49835,f49839,f49843,f49844,f49845,f49849,f49853,f49857,f49861,f49865,f49869,f49889,f49893,f49897,f49912,f49927,f49942,f49947,f49953,f49957,f49962,f49977,f49992,f50007,f50012,f50017,f50025,f50029,f50033,f50037,f50041,f50045,f50388,f50660,f50708,f50728,f50748,f50771,f50775,f50779,f50783,f50787,f50791,f50796,f50802,f50807,f50814,f50819,f50825,f50830,f50837,f50863,f50870,f50871]) ).
fof(f50871,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_281
| spl31_1677 ),
inference(avatar_split_clause,[],[f50767,f50385,f2270,f537,f532,f527]) ).
fof(f527,plain,
( spl31_1
<=> v3_struct_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).
fof(f532,plain,
( spl31_2
<=> v10_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).
fof(f537,plain,
( spl31_3
<=> l3_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).
fof(f2270,plain,
( spl31_281
<=> ! [X0] :
( m2_lattice4(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_281])]) ).
fof(f50385,plain,
( spl31_1677
<=> m2_lattice4(k1_filter_2(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1677])]) ).
fof(f50767,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_281
| spl31_1677 ),
inference(resolution,[],[f50387,f2271]) ).
fof(f2271,plain,
( ! [X0] :
( m2_lattice4(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_281 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f50387,plain,
( ~ m2_lattice4(k1_filter_2(sK2),sK2)
| spl31_1677 ),
inference(avatar_component_clause,[],[f50385]) ).
fof(f50870,plain,
( spl31_1697
| ~ spl31_1443
| ~ spl31_1570
| ~ spl31_1696 ),
inference(avatar_split_clause,[],[f50865,f50860,f47068,f43284,f50867]) ).
fof(f50867,plain,
( spl31_1697
<=> k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1697])]) ).
fof(f43284,plain,
( spl31_1443
<=> sK10(sK3(k1_filter_2(sK2))) = k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1443])]) ).
fof(f47068,plain,
( spl31_1570
<=> k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1570])]) ).
fof(f50860,plain,
( spl31_1696
<=> k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1696])]) ).
fof(f50865,plain,
( k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1570
| ~ spl31_1696 ),
inference(forward_demodulation,[],[f50864,f47070]) ).
fof(f47070,plain,
( k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1570 ),
inference(avatar_component_clause,[],[f47068]) ).
fof(f50864,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1696 ),
inference(forward_demodulation,[],[f50862,f43286]) ).
fof(f43286,plain,
( sK10(sK3(k1_filter_2(sK2))) = k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443 ),
inference(avatar_component_clause,[],[f43284]) ).
fof(f50862,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_1696 ),
inference(avatar_component_clause,[],[f50860]) ).
fof(f50863,plain,
( spl31_1696
| spl31_1384
| spl31_234
| ~ spl31_501
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5974,f5824,f5463,f1979,f41597,f50860]) ).
fof(f41597,plain,
( spl31_1384
<=> v1_xboole_0(sK3(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1384])]) ).
fof(f1979,plain,
( spl31_234
<=> v1_xboole_0(k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_234])]) ).
fof(f5463,plain,
( spl31_501
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_501])]) ).
fof(f5824,plain,
( spl31_532
<=> ! [X0] :
( m1_subset_1(sK10(sK3(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_532])]) ).
fof(f5974,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_501
| ~ spl31_532 ),
inference(resolution,[],[f5825,f5464]) ).
fof(f5464,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) )
| ~ spl31_501 ),
inference(avatar_component_clause,[],[f5463]) ).
fof(f5825,plain,
( ! [X0] :
( m1_subset_1(sK10(sK3(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK3(X0)) )
| ~ spl31_532 ),
inference(avatar_component_clause,[],[f5824]) ).
fof(f50837,plain,
( spl31_1695
| ~ spl31_1443
| ~ spl31_1568
| ~ spl31_1694 ),
inference(avatar_split_clause,[],[f50832,f50827,f47032,f43284,f50834]) ).
fof(f50834,plain,
( spl31_1695
<=> k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_0(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1695])]) ).
fof(f47032,plain,
( spl31_1568
<=> k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1568])]) ).
fof(f50827,plain,
( spl31_1694
<=> k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1694])]) ).
fof(f50832,plain,
( k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_0(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1568
| ~ spl31_1694 ),
inference(forward_demodulation,[],[f50831,f47034]) ).
fof(f47034,plain,
( k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1568 ),
inference(avatar_component_clause,[],[f47032]) ).
fof(f50831,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2)))) = k2_filter_0(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1694 ),
inference(forward_demodulation,[],[f50829,f43286]) ).
fof(f50829,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_1694 ),
inference(avatar_component_clause,[],[f50827]) ).
fof(f50830,plain,
( spl31_1694
| spl31_1384
| spl31_234
| ~ spl31_500
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5973,f5824,f5446,f1979,f41597,f50827]) ).
fof(f5446,plain,
( spl31_500
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_500])]) ).
fof(f5973,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_500
| ~ spl31_532 ),
inference(resolution,[],[f5825,f5447]) ).
fof(f5447,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0)) )
| ~ spl31_500 ),
inference(avatar_component_clause,[],[f5446]) ).
fof(f50825,plain,
( ~ spl31_1693
| ~ spl31_1444
| spl31_1692 ),
inference(avatar_split_clause,[],[f50820,f50816,f43289,f50822]) ).
fof(f50822,plain,
( spl31_1693
<=> k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1693])]) ).
fof(f43289,plain,
( spl31_1444
<=> sK22 = sK10(k1_zfmisc_1(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1444])]) ).
fof(f50816,plain,
( spl31_1692
<=> k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1692])]) ).
fof(f50820,plain,
( k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) != a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22)))
| ~ spl31_1444
| spl31_1692 ),
inference(forward_demodulation,[],[f50817,f43291]) ).
fof(f43291,plain,
( sK22 = sK10(k1_zfmisc_1(k1_filter_2(sK2)))
| ~ spl31_1444 ),
inference(avatar_component_clause,[],[f43289]) ).
fof(f50817,plain,
( k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) != a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1692 ),
inference(avatar_component_clause,[],[f50816]) ).
fof(f50819,plain,
( spl31_1692
| spl31_1367
| ~ spl31_502
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5926,f5759,f5487,f40419,f50816]) ).
fof(f40419,plain,
( spl31_1367
<=> v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1367])]) ).
fof(f5487,plain,
( spl31_502
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_502])]) ).
fof(f5759,plain,
( spl31_524
<=> ! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_524])]) ).
fof(f5926,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_502
| ~ spl31_524 ),
inference(resolution,[],[f5760,f5488]) ).
fof(f5488,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0)) )
| ~ spl31_502 ),
inference(avatar_component_clause,[],[f5487]) ).
fof(f5760,plain,
( ! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) )
| ~ spl31_524 ),
inference(avatar_component_clause,[],[f5759]) ).
fof(f50814,plain,
( ~ spl31_1691
| ~ spl31_1444
| spl31_1690 ),
inference(avatar_split_clause,[],[f50808,f50804,f43289,f50811]) ).
fof(f50811,plain,
( spl31_1691
<=> k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1691])]) ).
fof(f50804,plain,
( spl31_1690
<=> k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1690])]) ).
fof(f50808,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) != a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22)))
| ~ spl31_1444
| spl31_1690 ),
inference(forward_demodulation,[],[f50805,f43291]) ).
fof(f50805,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) != a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1690 ),
inference(avatar_component_clause,[],[f50804]) ).
fof(f50807,plain,
( spl31_1690
| spl31_1367
| ~ spl31_501
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5925,f5759,f5463,f40419,f50804]) ).
fof(f5925,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_501
| ~ spl31_524 ),
inference(resolution,[],[f5760,f5464]) ).
fof(f50802,plain,
( ~ spl31_1689
| ~ spl31_1444
| spl31_1688 ),
inference(avatar_split_clause,[],[f50797,f50793,f43289,f50799]) ).
fof(f50799,plain,
( spl31_1689
<=> k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1689])]) ).
fof(f50793,plain,
( spl31_1688
<=> k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1688])]) ).
fof(f50797,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) != k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22)))
| ~ spl31_1444
| spl31_1688 ),
inference(forward_demodulation,[],[f50794,f43291]) ).
fof(f50794,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) != k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1688 ),
inference(avatar_component_clause,[],[f50793]) ).
fof(f50796,plain,
( spl31_1688
| spl31_1367
| ~ spl31_500
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5924,f5759,f5446,f40419,f50793]) ).
fof(f5924,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_500
| ~ spl31_524 ),
inference(resolution,[],[f5760,f5447]) ).
fof(f50791,plain,
( spl31_1687
| ~ spl31_309
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f5436,f5080,f2572,f50789]) ).
fof(f50789,plain,
( spl31_1687
<=> ! [X0] :
( k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1687])]) ).
fof(f2572,plain,
( spl31_309
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK12(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_309])]) ).
fof(f5080,plain,
( spl31_497
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k5_filter_2(sK2,X0) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_497])]) ).
fof(f5436,plain,
( ! [X0] :
( k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_497 ),
inference(resolution,[],[f5081,f2573]) ).
fof(f2573,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X0)
| r2_hidden(sK12(X0,X1),X1)
| X0 = X1 )
| ~ spl31_309 ),
inference(avatar_component_clause,[],[f2572]) ).
fof(f5081,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k5_filter_2(sK2,X0) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) )
| ~ spl31_497 ),
inference(avatar_component_clause,[],[f5080]) ).
fof(f50787,plain,
( spl31_1686
| ~ spl31_307
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f5435,f5080,f2564,f50785]) ).
fof(f50785,plain,
( spl31_1686
<=> ! [X0] :
( k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1686])]) ).
fof(f2564,plain,
( spl31_307
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X0)
| X0 = X1
| m1_subset_1(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_307])]) ).
fof(f5435,plain,
( ! [X0] :
( k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_497 ),
inference(resolution,[],[f5081,f2565]) ).
fof(f2565,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X1)
| r2_hidden(sK12(X0,X1),X0)
| X0 = X1 )
| ~ spl31_307 ),
inference(avatar_component_clause,[],[f2564]) ).
fof(f50783,plain,
( spl31_1685
| ~ spl31_309
| ~ spl31_483 ),
inference(avatar_split_clause,[],[f4986,f4979,f2572,f50781]) ).
fof(f50781,plain,
( spl31_1685
<=> ! [X0] :
( k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1685])]) ).
fof(f4979,plain,
( spl31_483
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_2(sK2,X0) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_483])]) ).
fof(f4986,plain,
( ! [X0] :
( k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_483 ),
inference(resolution,[],[f4980,f2573]) ).
fof(f4980,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_2(sK2,X0) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) )
| ~ spl31_483 ),
inference(avatar_component_clause,[],[f4979]) ).
fof(f50779,plain,
( spl31_1684
| ~ spl31_307
| ~ spl31_483 ),
inference(avatar_split_clause,[],[f4985,f4979,f2564,f50777]) ).
fof(f50777,plain,
( spl31_1684
<=> ! [X0] :
( k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1684])]) ).
fof(f4985,plain,
( ! [X0] :
( k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_483 ),
inference(resolution,[],[f4980,f2565]) ).
fof(f50775,plain,
( spl31_1683
| ~ spl31_309
| ~ spl31_482 ),
inference(avatar_split_clause,[],[f4974,f4967,f2572,f50773]) ).
fof(f50773,plain,
( spl31_1683
<=> ! [X0] :
( k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1683])]) ).
fof(f4967,plain,
( spl31_482
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(sK2,X0) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_482])]) ).
fof(f4974,plain,
( ! [X0] :
( k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_482 ),
inference(resolution,[],[f4968,f2573]) ).
fof(f4968,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(sK2,X0) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) )
| ~ spl31_482 ),
inference(avatar_component_clause,[],[f4967]) ).
fof(f50771,plain,
( spl31_1682
| ~ spl31_307
| ~ spl31_482 ),
inference(avatar_split_clause,[],[f4973,f4967,f2564,f50769]) ).
fof(f50769,plain,
( spl31_1682
<=> ! [X0] :
( k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1682])]) ).
fof(f4973,plain,
( ! [X0] :
( k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_482 ),
inference(resolution,[],[f4968,f2565]) ).
fof(f50748,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1681
| ~ spl31_358
| ~ spl31_180
| ~ spl31_204
| ~ spl31_213
| ~ spl31_456 ),
inference(avatar_split_clause,[],[f4694,f4672,f1854,f1756,f1611,f3129,f50746,f537,f532,f527]) ).
fof(f50746,plain,
( spl31_1681
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ r3_lattices(sK2,X0,k5_lattices(sK2))
| r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1681])]) ).
fof(f3129,plain,
( spl31_358
<=> m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_358])]) ).
fof(f1611,plain,
( spl31_180
<=> ! [X2,X1,X3] :
( r2_hidden(X3,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_180])]) ).
fof(f1756,plain,
( spl31_204
<=> u1_struct_0(sK2) = k17_filter_2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_204])]) ).
fof(f1854,plain,
( spl31_213
<=> k17_filter_2(sK2) = k1_filter_2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_213])]) ).
fof(f4672,plain,
( spl31_456
<=> k18_filter_2(sK2,k5_lattices(sK2)) = a_2_0_filter_2(sK2,k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_456])]) ).
fof(f4694,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,X0,k5_lattices(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_180
| ~ spl31_204
| ~ spl31_213
| ~ spl31_456 ),
inference(forward_demodulation,[],[f4693,f1856]) ).
fof(f1856,plain,
( k17_filter_2(sK2) = k1_filter_2(sK2)
| ~ spl31_213 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f4693,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,X0,k5_lattices(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_180
| ~ spl31_204
| ~ spl31_213
| ~ spl31_456 ),
inference(forward_demodulation,[],[f4692,f1758]) ).
fof(f1758,plain,
( u1_struct_0(sK2) = k17_filter_2(sK2)
| ~ spl31_204 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f4692,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,X0,k5_lattices(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_180
| ~ spl31_204
| ~ spl31_213
| ~ spl31_456 ),
inference(forward_demodulation,[],[f4691,f1856]) ).
fof(f4691,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,X0,k5_lattices(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_180
| ~ spl31_204
| ~ spl31_456 ),
inference(forward_demodulation,[],[f4677,f1758]) ).
fof(f4677,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,X0,k5_lattices(sK2))
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_180
| ~ spl31_456 ),
inference(superposition,[],[f1612,f4674]) ).
fof(f4674,plain,
( k18_filter_2(sK2,k5_lattices(sK2)) = a_2_0_filter_2(sK2,k5_lattices(sK2))
| ~ spl31_456 ),
inference(avatar_component_clause,[],[f4672]) ).
fof(f1612,plain,
( ! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_180 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f50728,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1680
| ~ spl31_315
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_454 ),
inference(avatar_split_clause,[],[f4637,f4615,f1854,f1756,f1607,f2662,f50726,f537,f532,f527]) ).
fof(f50726,plain,
( spl31_1680
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ r3_lattices(sK2,k6_lattices(sK2),X0)
| r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1680])]) ).
fof(f2662,plain,
( spl31_315
<=> m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_315])]) ).
fof(f1607,plain,
( spl31_179
<=> ! [X2,X1,X3] :
( r2_hidden(X3,a_2_0_filter_0(X1,X2))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_179])]) ).
fof(f4615,plain,
( spl31_454
<=> k2_filter_0(sK2,k6_lattices(sK2)) = a_2_0_filter_0(sK2,k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_454])]) ).
fof(f4637,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| ~ r3_lattices(sK2,k6_lattices(sK2),X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_454 ),
inference(forward_demodulation,[],[f4636,f1856]) ).
fof(f4636,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(sK2))
| ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| ~ r3_lattices(sK2,k6_lattices(sK2),X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_454 ),
inference(forward_demodulation,[],[f4635,f1758]) ).
fof(f4635,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| ~ r3_lattices(sK2,k6_lattices(sK2),X0)
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_454 ),
inference(forward_demodulation,[],[f4634,f1856]) ).
fof(f4634,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| ~ r3_lattices(sK2,k6_lattices(sK2),X0)
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_454 ),
inference(forward_demodulation,[],[f4620,f1758]) ).
fof(f4620,plain,
( ! [X0] :
( r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| ~ r3_lattices(sK2,k6_lattices(sK2),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_454 ),
inference(superposition,[],[f1608,f4617]) ).
fof(f4617,plain,
( k2_filter_0(sK2,k6_lattices(sK2)) = a_2_0_filter_0(sK2,k6_lattices(sK2))
| ~ spl31_454 ),
inference(avatar_component_clause,[],[f4615]) ).
fof(f1608,plain,
( ! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_filter_0(X1,X2))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_179 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f50708,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1679
| ~ spl31_358
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_453 ),
inference(avatar_split_clause,[],[f4585,f4563,f1854,f1756,f1607,f3129,f50706,f537,f532,f527]) ).
fof(f50706,plain,
( spl31_1679
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ r3_lattices(sK2,k5_lattices(sK2),X0)
| r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1679])]) ).
fof(f4563,plain,
( spl31_453
<=> k2_filter_0(sK2,k5_lattices(sK2)) = a_2_0_filter_0(sK2,k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_453])]) ).
fof(f4585,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,k5_lattices(sK2),X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_453 ),
inference(forward_demodulation,[],[f4584,f1856]) ).
fof(f4584,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,k5_lattices(sK2),X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_453 ),
inference(forward_demodulation,[],[f4583,f1758]) ).
fof(f4583,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,k5_lattices(sK2),X0)
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_213
| ~ spl31_453 ),
inference(forward_demodulation,[],[f4582,f1856]) ).
fof(f4582,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,k5_lattices(sK2),X0)
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_204
| ~ spl31_453 ),
inference(forward_demodulation,[],[f4568,f1758]) ).
fof(f4568,plain,
( ! [X0] :
( r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| ~ r3_lattices(sK2,k5_lattices(sK2),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_179
| ~ spl31_453 ),
inference(superposition,[],[f1608,f4565]) ).
fof(f4565,plain,
( k2_filter_0(sK2,k5_lattices(sK2)) = a_2_0_filter_0(sK2,k5_lattices(sK2))
| ~ spl31_453 ),
inference(avatar_component_clause,[],[f4563]) ).
fof(f50660,plain,
( ~ spl31_1678
| ~ spl31_1209
| spl31_1663 ),
inference(avatar_split_clause,[],[f50020,f49950,f31619,f50657]) ).
fof(f50657,plain,
( spl31_1678
<=> m1_filter_0(k1_filter_2(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1678])]) ).
fof(f31619,plain,
( spl31_1209
<=> ! [X0] :
( ~ m1_filter_0(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1209])]) ).
fof(f49950,plain,
( spl31_1663
<=> r1_filter_2(k1_filter_2(sK2),k1_filter_2(sK2),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1663])]) ).
fof(f50020,plain,
( ~ m1_filter_0(k1_filter_2(sK2),sK2)
| ~ spl31_1209
| spl31_1663 ),
inference(resolution,[],[f49952,f31620]) ).
fof(f31620,plain,
( ! [X0] :
( r1_filter_2(k1_filter_2(sK2),X0,X0)
| ~ m1_filter_0(X0,sK2) )
| ~ spl31_1209 ),
inference(avatar_component_clause,[],[f31619]) ).
fof(f49952,plain,
( ~ r1_filter_2(k1_filter_2(sK2),k1_filter_2(sK2),k1_filter_2(sK2))
| spl31_1663 ),
inference(avatar_component_clause,[],[f49950]) ).
fof(f50388,plain,
( ~ spl31_1677
| ~ spl31_1311
| spl31_1663 ),
inference(avatar_split_clause,[],[f50019,f49950,f39049,f50385]) ).
fof(f39049,plain,
( spl31_1311
<=> ! [X0] :
( ~ m2_lattice4(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1311])]) ).
fof(f50019,plain,
( ~ m2_lattice4(k1_filter_2(sK2),sK2)
| ~ spl31_1311
| spl31_1663 ),
inference(resolution,[],[f49952,f39050]) ).
fof(f39050,plain,
( ! [X0] :
( r1_filter_2(k1_filter_2(sK2),X0,X0)
| ~ m2_lattice4(X0,sK2) )
| ~ spl31_1311 ),
inference(avatar_component_clause,[],[f39049]) ).
fof(f50045,plain,
( spl31_1676
| ~ spl31_468
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7470,f6955,f4857,f50043]) ).
fof(f50043,plain,
( spl31_1676
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1676])]) ).
fof(f4857,plain,
( spl31_468
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(sK2,X0) = k2_filter_2(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_468])]) ).
fof(f6955,plain,
( spl31_623
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_623])]) ).
fof(f7470,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) )
| ~ spl31_468
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4858]) ).
fof(f4858,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(sK2,X0) = k2_filter_2(sK2,X0) )
| ~ spl31_468 ),
inference(avatar_component_clause,[],[f4857]) ).
fof(f6956,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X1) )
| ~ spl31_623 ),
inference(avatar_component_clause,[],[f6955]) ).
fof(f50041,plain,
( spl31_1675
| ~ spl31_467
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7469,f6955,f4848,f50039]) ).
fof(f50039,plain,
( spl31_1675
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1675])]) ).
fof(f4848,plain,
( spl31_467
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(sK2,X0) = a_2_0_filter_2(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_467])]) ).
fof(f7469,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) )
| ~ spl31_467
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4849]) ).
fof(f4849,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(sK2,X0) = a_2_0_filter_2(sK2,X0) )
| ~ spl31_467 ),
inference(avatar_component_clause,[],[f4848]) ).
fof(f50037,plain,
( spl31_1674
| ~ spl31_466
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7468,f6955,f4839,f50035]) ).
fof(f50035,plain,
( spl31_1674
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1674])]) ).
fof(f4839,plain,
( spl31_466
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(sK2,X0) = a_2_0_filter_0(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_466])]) ).
fof(f7468,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) )
| ~ spl31_466
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4840]) ).
fof(f4840,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(sK2,X0) = a_2_0_filter_0(sK2,X0) )
| ~ spl31_466 ),
inference(avatar_component_clause,[],[f4839]) ).
fof(f50033,plain,
( spl31_1673
| ~ spl31_468
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7418,f6951,f4857,f50031]) ).
fof(f50031,plain,
( spl31_1673
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1673])]) ).
fof(f6951,plain,
( spl31_622
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_622])]) ).
fof(f7418,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) )
| ~ spl31_468
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4858]) ).
fof(f6952,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) )
| ~ spl31_622 ),
inference(avatar_component_clause,[],[f6951]) ).
fof(f50029,plain,
( spl31_1672
| ~ spl31_467
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7417,f6951,f4848,f50027]) ).
fof(f50027,plain,
( spl31_1672
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1672])]) ).
fof(f7417,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) )
| ~ spl31_467
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4849]) ).
fof(f50025,plain,
( spl31_1671
| ~ spl31_466
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7416,f6951,f4839,f50023]) ).
fof(f50023,plain,
( spl31_1671
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1671])]) ).
fof(f7416,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) )
| ~ spl31_466
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4840]) ).
fof(f50017,plain,
( spl31_1670
| ~ spl31_468
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7366,f6947,f4857,f50015]) ).
fof(f50015,plain,
( spl31_1670
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1670])]) ).
fof(f6947,plain,
( spl31_621
<=> ! [X0,X1] :
( sK10(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_621])]) ).
fof(f7366,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) )
| ~ spl31_468
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4858]) ).
fof(f6948,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1)
| ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(X1)) = X0 )
| ~ spl31_621 ),
inference(avatar_component_clause,[],[f6947]) ).
fof(f50012,plain,
( spl31_1669
| ~ spl31_467
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7365,f6947,f4848,f50010]) ).
fof(f50010,plain,
( spl31_1669
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1669])]) ).
fof(f7365,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) )
| ~ spl31_467
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4849]) ).
fof(f50007,plain,
( spl31_1668
| ~ spl31_466
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7364,f6947,f4839,f50005]) ).
fof(f50005,plain,
( spl31_1668
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1668])]) ).
fof(f7364,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) )
| ~ spl31_466
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4840]) ).
fof(f49992,plain,
( spl31_234
| spl31_1667
| ~ spl31_468
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7313,f6943,f4857,f49990,f1979]) ).
fof(f49990,plain,
( spl31_1667
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) = k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1667])]) ).
fof(f6943,plain,
( spl31_620
<=> ! [X0,X1] :
( sK3(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK12(X0,sK3(X1)),X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_620])]) ).
fof(f7313,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) = k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) )
| ~ spl31_468
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4858]) ).
fof(f6944,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK3(X1)),X1)
| ~ v1_xboole_0(X0)
| sK3(X1) = X0
| v1_xboole_0(X1) )
| ~ spl31_620 ),
inference(avatar_component_clause,[],[f6943]) ).
fof(f49977,plain,
( spl31_234
| spl31_1666
| ~ spl31_467
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7312,f6943,f4848,f49975,f1979]) ).
fof(f49975,plain,
( spl31_1666
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) = a_2_0_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1666])]) ).
fof(f7312,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) = a_2_0_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) )
| ~ spl31_467
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4849]) ).
fof(f49962,plain,
( spl31_234
| spl31_1665
| ~ spl31_466
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7311,f6943,f4839,f49960,f1979]) ).
fof(f49960,plain,
( spl31_1665
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) = a_2_0_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1665])]) ).
fof(f7311,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) = a_2_0_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) )
| ~ spl31_466
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4840]) ).
fof(f49957,plain,
( spl31_1664
| ~ spl31_468
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7261,f6939,f4857,f49955]) ).
fof(f49955,plain,
( spl31_1664
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) = k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1664])]) ).
fof(f6939,plain,
( spl31_619
<=> ! [X0,X1] :
( sK10(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_619])]) ).
fof(f7261,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) = k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) )
| ~ spl31_468
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4858]) ).
fof(f6940,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0)
| ~ v1_xboole_0(X1)
| sK10(k1_zfmisc_1(X0)) = X1 )
| ~ spl31_619 ),
inference(avatar_component_clause,[],[f6939]) ).
fof(f49953,plain,
( ~ spl31_1663
| spl31_388
| ~ spl31_1469 ),
inference(avatar_split_clause,[],[f43792,f43787,f3544,f49950]) ).
fof(f3544,plain,
( spl31_388
<=> r1_filter_2(k1_filter_2(sK2),k1_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_388])]) ).
fof(f43787,plain,
( spl31_1469
<=> k18_filter_2(sK2,k6_lattices(sK2)) = k1_filter_2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1469])]) ).
fof(f43792,plain,
( ~ r1_filter_2(k1_filter_2(sK2),k1_filter_2(sK2),k1_filter_2(sK2))
| spl31_388
| ~ spl31_1469 ),
inference(superposition,[],[f3546,f43789]) ).
fof(f43789,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k1_filter_2(sK2)
| ~ spl31_1469 ),
inference(avatar_component_clause,[],[f43787]) ).
fof(f3546,plain,
( ~ r1_filter_2(k1_filter_2(sK2),k1_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2)))
| spl31_388 ),
inference(avatar_component_clause,[],[f3544]) ).
fof(f49947,plain,
( spl31_1662
| ~ spl31_467
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7260,f6939,f4848,f49945]) ).
fof(f49945,plain,
( spl31_1662
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) = a_2_0_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1662])]) ).
fof(f7260,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) = a_2_0_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) )
| ~ spl31_467
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4849]) ).
fof(f49942,plain,
( spl31_1661
| ~ spl31_466
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7259,f6939,f4839,f49940]) ).
fof(f49940,plain,
( spl31_1661
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) = a_2_0_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1661])]) ).
fof(f7259,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) = a_2_0_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) )
| ~ spl31_466
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4840]) ).
fof(f49927,plain,
( spl31_234
| spl31_1660
| ~ spl31_468
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7208,f6930,f4857,f49925,f1979]) ).
fof(f49925,plain,
( spl31_1660
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) = k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1660])]) ).
fof(f6930,plain,
( spl31_617
<=> ! [X0,X1] :
( sK3(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK12(sK3(X0),X1),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_617])]) ).
fof(f7208,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) = k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) )
| ~ spl31_468
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4858]) ).
fof(f6931,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK3(X0),X1),X0)
| ~ v1_xboole_0(X1)
| sK3(X0) = X1
| v1_xboole_0(X0) )
| ~ spl31_617 ),
inference(avatar_component_clause,[],[f6930]) ).
fof(f49912,plain,
( spl31_234
| spl31_1659
| ~ spl31_467
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7207,f6930,f4848,f49910,f1979]) ).
fof(f49910,plain,
( spl31_1659
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) = a_2_0_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1659])]) ).
fof(f7207,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) = a_2_0_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) )
| ~ spl31_467
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4849]) ).
fof(f49897,plain,
( spl31_234
| spl31_1658
| ~ spl31_466
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7206,f6930,f4839,f49895,f1979]) ).
fof(f49895,plain,
( spl31_1658
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) = a_2_0_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1658])]) ).
fof(f7206,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) = a_2_0_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) )
| ~ spl31_466
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4840]) ).
fof(f49893,plain,
( spl31_1657
| ~ spl31_502
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6091,f5857,f5487,f49891]) ).
fof(f49891,plain,
( spl31_1657
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1657])]) ).
fof(f5857,plain,
( spl31_540
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| m1_subset_1(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_540])]) ).
fof(f6091,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_502
| ~ spl31_540 ),
inference(resolution,[],[f5858,f5488]) ).
fof(f5858,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X1)
| ~ v1_xboole_0(X0)
| X0 = X1 )
| ~ spl31_540 ),
inference(avatar_component_clause,[],[f5857]) ).
fof(f49889,plain,
( spl31_1656
| ~ spl31_501
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6090,f5857,f5463,f49887]) ).
fof(f49887,plain,
( spl31_1656
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1656])]) ).
fof(f6090,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_501
| ~ spl31_540 ),
inference(resolution,[],[f5858,f5464]) ).
fof(f49869,plain,
( spl31_1655
| ~ spl31_500
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6089,f5857,f5446,f49867]) ).
fof(f49867,plain,
( spl31_1655
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1655])]) ).
fof(f6089,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_500
| ~ spl31_540 ),
inference(resolution,[],[f5858,f5447]) ).
fof(f49865,plain,
( spl31_1654
| ~ spl31_502
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6042,f5849,f5487,f49863]) ).
fof(f49863,plain,
( spl31_1654
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1654])]) ).
fof(f5849,plain,
( spl31_538
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK12(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_538])]) ).
fof(f6042,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_502
| ~ spl31_538 ),
inference(resolution,[],[f5850,f5488]) ).
fof(f5850,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X0)
| ~ v1_xboole_0(X1)
| X0 = X1 )
| ~ spl31_538 ),
inference(avatar_component_clause,[],[f5849]) ).
fof(f49861,plain,
( spl31_1653
| ~ spl31_501
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6041,f5849,f5463,f49859]) ).
fof(f49859,plain,
( spl31_1653
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1653])]) ).
fof(f6041,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_501
| ~ spl31_538 ),
inference(resolution,[],[f5850,f5464]) ).
fof(f49857,plain,
( spl31_1652
| ~ spl31_500
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6040,f5849,f5446,f49855]) ).
fof(f49855,plain,
( spl31_1652
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1652])]) ).
fof(f6040,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_500
| ~ spl31_538 ),
inference(resolution,[],[f5850,f5447]) ).
fof(f49853,plain,
( spl31_1651
| ~ spl31_488
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f5438,f5080,f5022,f49851]) ).
fof(f49851,plain,
( spl31_1651
<=> ! [X0,X1] :
( k5_filter_2(sK2,sK16(X0,sK2,X1)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK16(X0,sK2,X1)))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1651])]) ).
fof(f5022,plain,
( spl31_488
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| m1_subset_1(sK16(X0,sK2,X1),k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_488])]) ).
fof(f5438,plain,
( ! [X0,X1] :
( k5_filter_2(sK2,sK16(X0,sK2,X1)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK16(X0,sK2,X1)))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_488
| ~ spl31_497 ),
inference(resolution,[],[f5081,f5023]) ).
fof(f5023,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_488 ),
inference(avatar_component_clause,[],[f5022]) ).
fof(f49849,plain,
( spl31_1650
| ~ spl31_487
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f5437,f5080,f5007,f49847]) ).
fof(f49847,plain,
( spl31_1650
<=> ! [X0,X1] :
( k5_filter_2(sK2,sK15(X0,sK2,X1)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK15(X0,sK2,X1)))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1650])]) ).
fof(f5007,plain,
( spl31_487
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| m1_subset_1(sK15(X0,sK2,X1),k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_487])]) ).
fof(f5437,plain,
( ! [X0,X1] :
( k5_filter_2(sK2,sK15(X0,sK2,X1)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK15(X0,sK2,X1)))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_487
| ~ spl31_497 ),
inference(resolution,[],[f5081,f5008]) ).
fof(f5008,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_487 ),
inference(avatar_component_clause,[],[f5007]) ).
fof(f49845,plain,
( spl31_438
| ~ spl31_495
| spl31_1631
| ~ spl31_370
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5273,f5076,f3322,f49454,f5072,f4295]) ).
fof(f4295,plain,
( spl31_438
<=> v3_struct_0(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_438])]) ).
fof(f5072,plain,
( spl31_495
<=> v10_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_495])]) ).
fof(f49454,plain,
( spl31_1631
<=> k2_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1631])]) ).
fof(f3322,plain,
( spl31_370
<=> ! [X0] :
( k2_filter_2(X0,sK10(u1_struct_0(X0))) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_370])]) ).
fof(f5076,plain,
( spl31_496
<=> l3_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_496])]) ).
fof(f5273,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_370
| ~ spl31_496 ),
inference(resolution,[],[f5077,f3323]) ).
fof(f3323,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k2_filter_2(X0,sK10(u1_struct_0(X0))) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_370 ),
inference(avatar_component_clause,[],[f3322]) ).
fof(f5077,plain,
( l3_lattices(k1_lattice2(sK2))
| ~ spl31_496 ),
inference(avatar_component_clause,[],[f5076]) ).
fof(f49844,plain,
( spl31_438
| ~ spl31_495
| spl31_1629
| ~ spl31_367
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5272,f5076,f3310,f49436,f5072,f4295]) ).
fof(f49436,plain,
( spl31_1629
<=> k18_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1629])]) ).
fof(f3310,plain,
( spl31_367
<=> ! [X0] :
( k18_filter_2(X0,sK10(u1_struct_0(X0))) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_367])]) ).
fof(f5272,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_367
| ~ spl31_496 ),
inference(resolution,[],[f5077,f3311]) ).
fof(f3311,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k18_filter_2(X0,sK10(u1_struct_0(X0))) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_367 ),
inference(avatar_component_clause,[],[f3310]) ).
fof(f49843,plain,
( spl31_1649
| ~ spl31_483
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5034,f5022,f4979,f49841]) ).
fof(f49841,plain,
( spl31_1649
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK16(X0,sK2,X1)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK16(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1649])]) ).
fof(f5034,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK16(X0,sK2,X1)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK16(X0,sK2,X1))) )
| ~ spl31_483
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4980]) ).
fof(f49839,plain,
( spl31_1648
| ~ spl31_482
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5033,f5022,f4967,f49837]) ).
fof(f49837,plain,
( spl31_1648
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK16(X0,sK2,X1)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK16(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1648])]) ).
fof(f5033,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK16(X0,sK2,X1)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK16(X0,sK2,X1))) )
| ~ spl31_482
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4968]) ).
fof(f49835,plain,
( spl31_1647
| ~ spl31_1328
| ~ spl31_1635 ),
inference(avatar_split_clause,[],[f49531,f49480,f39812,f49832]) ).
fof(f49832,plain,
( spl31_1647
<=> k1_filter_2(sK2) = k1_filter_2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1647])]) ).
fof(f39812,plain,
( spl31_1328
<=> k1_filter_0(k1_lattice2(sK2)) = k1_filter_2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1328])]) ).
fof(f49480,plain,
( spl31_1635
<=> k1_filter_2(sK2) = k1_filter_0(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1635])]) ).
fof(f49531,plain,
( k1_filter_2(sK2) = k1_filter_2(k1_lattice2(sK2))
| ~ spl31_1328
| ~ spl31_1635 ),
inference(superposition,[],[f49482,f39814]) ).
fof(f39814,plain,
( k1_filter_0(k1_lattice2(sK2)) = k1_filter_2(k1_lattice2(sK2))
| ~ spl31_1328 ),
inference(avatar_component_clause,[],[f39812]) ).
fof(f49482,plain,
( k1_filter_2(sK2) = k1_filter_0(k1_lattice2(sK2))
| ~ spl31_1635 ),
inference(avatar_component_clause,[],[f49480]) ).
fof(f49830,plain,
( spl31_1646
| ~ spl31_483
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5019,f5007,f4979,f49828]) ).
fof(f49828,plain,
( spl31_1646
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK15(X0,sK2,X1)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK15(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1646])]) ).
fof(f5019,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK15(X0,sK2,X1)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK15(X0,sK2,X1))) )
| ~ spl31_483
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4980]) ).
fof(f49826,plain,
( spl31_1645
| ~ spl31_482
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5018,f5007,f4967,f49824]) ).
fof(f49824,plain,
( spl31_1645
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK15(X0,sK2,X1)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK15(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1645])]) ).
fof(f5018,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK15(X0,sK2,X1)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK15(X0,sK2,X1))) )
| ~ spl31_482
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4968]) ).
fof(f49529,plain,
( spl31_1644
| ~ spl31_516
| ~ spl31_813 ),
inference(avatar_split_clause,[],[f11766,f11762,f5657,f49526]) ).
fof(f49526,plain,
( spl31_1644
<=> r3_lattices(sK26,k5_lattices(sK26),k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1644])]) ).
fof(f5657,plain,
( spl31_516
<=> m1_subset_1(k5_lattices(sK26),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_516])]) ).
fof(f11762,plain,
( spl31_813
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| r3_lattices(sK26,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_813])]) ).
fof(f11766,plain,
( r3_lattices(sK26,k5_lattices(sK26),k5_lattices(sK26))
| ~ spl31_516
| ~ spl31_813 ),
inference(resolution,[],[f11763,f5659]) ).
fof(f5659,plain,
( m1_subset_1(k5_lattices(sK26),k1_filter_2(sK26))
| ~ spl31_516 ),
inference(avatar_component_clause,[],[f5657]) ).
fof(f11763,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| r3_lattices(sK26,X0,X0) )
| ~ spl31_813 ),
inference(avatar_component_clause,[],[f11762]) ).
fof(f49524,plain,
( spl31_1643
| ~ spl31_514
| ~ spl31_813 ),
inference(avatar_split_clause,[],[f11765,f11762,f5645,f49521]) ).
fof(f49521,plain,
( spl31_1643
<=> r3_lattices(sK26,k6_lattices(sK26),k6_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1643])]) ).
fof(f5645,plain,
( spl31_514
<=> m1_subset_1(k6_lattices(sK26),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_514])]) ).
fof(f11765,plain,
( r3_lattices(sK26,k6_lattices(sK26),k6_lattices(sK26))
| ~ spl31_514
| ~ spl31_813 ),
inference(resolution,[],[f11763,f5647]) ).
fof(f5647,plain,
( m1_subset_1(k6_lattices(sK26),k1_filter_2(sK26))
| ~ spl31_514 ),
inference(avatar_component_clause,[],[f5645]) ).
fof(f49519,plain,
( ~ spl31_1642
| ~ spl31_65
| ~ spl31_671
| ~ spl31_800 ),
inference(avatar_split_clause,[],[f11360,f11325,f8135,f832,f49516]) ).
fof(f49516,plain,
( spl31_1642
<=> v1_xboole_0(k2_filter_0(sK26,sK10(k1_filter_2(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1642])]) ).
fof(f832,plain,
( spl31_65
<=> ! [X0] : m1_subset_1(sK10(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_65])]) ).
fof(f8135,plain,
( spl31_671
<=> k2_filter_0(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(sK26,sK10(k1_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_671])]) ).
fof(f11325,plain,
( spl31_800
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ v1_xboole_0(k2_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_800])]) ).
fof(f11360,plain,
( ~ v1_xboole_0(k2_filter_0(sK26,sK10(k1_filter_2(sK26))))
| ~ spl31_65
| ~ spl31_671
| ~ spl31_800 ),
inference(forward_demodulation,[],[f11330,f8137]) ).
fof(f8137,plain,
( k2_filter_0(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(sK26,sK10(k1_filter_2(sK26)))
| ~ spl31_671 ),
inference(avatar_component_clause,[],[f8135]) ).
fof(f11330,plain,
( ~ v1_xboole_0(k2_filter_2(sK26,sK10(k1_filter_2(sK26))))
| ~ spl31_65
| ~ spl31_800 ),
inference(resolution,[],[f11326,f833]) ).
fof(f833,plain,
( ! [X0] : m1_subset_1(sK10(X0),X0)
| ~ spl31_65 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f11326,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ v1_xboole_0(k2_filter_2(sK26,X0)) )
| ~ spl31_800 ),
inference(avatar_component_clause,[],[f11325]) ).
fof(f49514,plain,
( ~ spl31_1641
| ~ spl31_65
| ~ spl31_799 ),
inference(avatar_split_clause,[],[f11295,f11290,f832,f49511]) ).
fof(f49511,plain,
( spl31_1641
<=> v1_xboole_0(k18_filter_2(sK26,sK10(k1_filter_2(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1641])]) ).
fof(f11290,plain,
( spl31_799
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ v1_xboole_0(k18_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_799])]) ).
fof(f11295,plain,
( ~ v1_xboole_0(k18_filter_2(sK26,sK10(k1_filter_2(sK26))))
| ~ spl31_65
| ~ spl31_799 ),
inference(resolution,[],[f11291,f833]) ).
fof(f11291,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ v1_xboole_0(k18_filter_2(sK26,X0)) )
| ~ spl31_799 ),
inference(avatar_component_clause,[],[f11290]) ).
fof(f49509,plain,
( spl31_1640
| ~ spl31_511
| ~ spl31_710 ),
inference(avatar_split_clause,[],[f8587,f8583,f5628,f49506]) ).
fof(f49506,plain,
( spl31_1640
<=> r3_lattices(sK25,k5_lattices(sK25),k5_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1640])]) ).
fof(f5628,plain,
( spl31_511
<=> m1_subset_1(k5_lattices(sK25),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_511])]) ).
fof(f8583,plain,
( spl31_710
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| r3_lattices(sK25,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_710])]) ).
fof(f8587,plain,
( r3_lattices(sK25,k5_lattices(sK25),k5_lattices(sK25))
| ~ spl31_511
| ~ spl31_710 ),
inference(resolution,[],[f8584,f5630]) ).
fof(f5630,plain,
( m1_subset_1(k5_lattices(sK25),k1_filter_2(sK25))
| ~ spl31_511 ),
inference(avatar_component_clause,[],[f5628]) ).
fof(f8584,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| r3_lattices(sK25,X0,X0) )
| ~ spl31_710 ),
inference(avatar_component_clause,[],[f8583]) ).
fof(f49504,plain,
( spl31_1639
| ~ spl31_509
| ~ spl31_710 ),
inference(avatar_split_clause,[],[f8586,f8583,f5616,f49501]) ).
fof(f49501,plain,
( spl31_1639
<=> r3_lattices(sK25,k6_lattices(sK25),k6_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1639])]) ).
fof(f5616,plain,
( spl31_509
<=> m1_subset_1(k6_lattices(sK25),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_509])]) ).
fof(f8586,plain,
( r3_lattices(sK25,k6_lattices(sK25),k6_lattices(sK25))
| ~ spl31_509
| ~ spl31_710 ),
inference(resolution,[],[f8584,f5618]) ).
fof(f5618,plain,
( m1_subset_1(k6_lattices(sK25),k1_filter_2(sK25))
| ~ spl31_509 ),
inference(avatar_component_clause,[],[f5616]) ).
fof(f49499,plain,
( ~ spl31_1638
| ~ spl31_65
| ~ spl31_628 ),
inference(avatar_split_clause,[],[f7004,f6999,f832,f49496]) ).
fof(f49496,plain,
( spl31_1638
<=> v1_xboole_0(k2_filter_0(sK25,sK10(k1_filter_2(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1638])]) ).
fof(f6999,plain,
( spl31_628
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ v1_xboole_0(k2_filter_0(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_628])]) ).
fof(f7004,plain,
( ~ v1_xboole_0(k2_filter_0(sK25,sK10(k1_filter_2(sK25))))
| ~ spl31_65
| ~ spl31_628 ),
inference(resolution,[],[f7000,f833]) ).
fof(f7000,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ v1_xboole_0(k2_filter_0(sK25,X0)) )
| ~ spl31_628 ),
inference(avatar_component_clause,[],[f6999]) ).
fof(f49493,plain,
( ~ spl31_1637
| ~ spl31_65
| ~ spl31_626 ),
inference(avatar_split_clause,[],[f6983,f6978,f832,f49490]) ).
fof(f49490,plain,
( spl31_1637
<=> v1_xboole_0(k2_filter_2(sK25,sK10(k1_filter_2(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1637])]) ).
fof(f6978,plain,
( spl31_626
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ v1_xboole_0(k2_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_626])]) ).
fof(f6983,plain,
( ~ v1_xboole_0(k2_filter_2(sK25,sK10(k1_filter_2(sK25))))
| ~ spl31_65
| ~ spl31_626 ),
inference(resolution,[],[f6979,f833]) ).
fof(f6979,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ v1_xboole_0(k2_filter_2(sK25,X0)) )
| ~ spl31_626 ),
inference(avatar_component_clause,[],[f6978]) ).
fof(f49488,plain,
( ~ spl31_1636
| ~ spl31_65
| ~ spl31_625 ),
inference(avatar_split_clause,[],[f6968,f6963,f832,f49485]) ).
fof(f49485,plain,
( spl31_1636
<=> v1_xboole_0(k18_filter_2(sK25,sK10(k1_filter_2(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1636])]) ).
fof(f6963,plain,
( spl31_625
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ v1_xboole_0(k18_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_625])]) ).
fof(f6968,plain,
( ~ v1_xboole_0(k18_filter_2(sK25,sK10(k1_filter_2(sK25))))
| ~ spl31_65
| ~ spl31_625 ),
inference(resolution,[],[f6964,f833]) ).
fof(f6964,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ v1_xboole_0(k18_filter_2(sK25,X0)) )
| ~ spl31_625 ),
inference(avatar_component_clause,[],[f6963]) ).
fof(f49483,plain,
( spl31_1635
| ~ spl31_1427
| ~ spl31_1627 ),
inference(avatar_split_clause,[],[f49346,f49342,f43101,f49480]) ).
fof(f43101,plain,
( spl31_1427
<=> k1_filter_2(sK2) = k17_filter_2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1427])]) ).
fof(f49342,plain,
( spl31_1627
<=> k1_filter_0(k1_lattice2(sK2)) = k17_filter_2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1627])]) ).
fof(f49346,plain,
( k1_filter_2(sK2) = k1_filter_0(k1_lattice2(sK2))
| ~ spl31_1427
| ~ spl31_1627 ),
inference(forward_demodulation,[],[f49344,f43103]) ).
fof(f43103,plain,
( k1_filter_2(sK2) = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_1427 ),
inference(avatar_component_clause,[],[f43101]) ).
fof(f49344,plain,
( k1_filter_0(k1_lattice2(sK2)) = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_1627 ),
inference(avatar_component_clause,[],[f49342]) ).
fof(f49478,plain,
( spl31_1634
| ~ spl31_64
| ~ spl31_490 ),
inference(avatar_split_clause,[],[f5047,f5041,f828,f49476]) ).
fof(f49476,plain,
( spl31_1634
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1634])]) ).
fof(f828,plain,
( spl31_64
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_64])]) ).
fof(f5041,plain,
( spl31_490
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_490])]) ).
fof(f5047,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(sK10(k1_zfmisc_1(X0))) )
| ~ spl31_64
| ~ spl31_490 ),
inference(resolution,[],[f5042,f829]) ).
fof(f829,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl31_64 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f5042,plain,
( ! [X0] :
( v1_xboole_0(sK10(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl31_490 ),
inference(avatar_component_clause,[],[f5041]) ).
fof(f49473,plain,
( ~ spl31_496
| spl31_438
| ~ spl31_495
| ~ spl31_315
| spl31_1633
| ~ spl31_475
| ~ spl31_738
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42237,f41523,f39522,f39234,f13557,f9374,f4909,f49471,f2662,f5072,f4295,f5076]) ).
fof(f49471,plain,
( spl31_1633
<=> ! [X0] :
( m1_subset_1(X0,k1_filter_2(sK2))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1633])]) ).
fof(f4909,plain,
( spl31_475
<=> k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_475])]) ).
fof(f9374,plain,
( spl31_738
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_738])]) ).
fof(f13557,plain,
( spl31_891
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_891])]) ).
fof(f39234,plain,
( spl31_1326
<=> u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1326])]) ).
fof(f39522,plain,
( spl31_1327
<=> u1_struct_0(k1_lattice2(sK2)) = k17_filter_2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1327])]) ).
fof(f41523,plain,
( spl31_1378
<=> k1_lattice2(sK2) = g3_lattices(k17_filter_2(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1378])]) ).
fof(f42237,plain,
( ! [X0] :
( m1_subset_1(X0,k1_filter_2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl31_475
| ~ spl31_738
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f42236,f41563]) ).
fof(f41563,plain,
( k1_filter_2(sK2) = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_891
| ~ spl31_1378 ),
inference(trivial_inequality_removal,[],[f41535]) ).
fof(f41535,plain,
( k1_lattice2(sK2) != k1_lattice2(sK2)
| k1_filter_2(sK2) = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_891
| ~ spl31_1378 ),
inference(superposition,[],[f13558,f41525]) ).
fof(f41525,plain,
( k1_lattice2(sK2) = g3_lattices(k17_filter_2(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ spl31_1378 ),
inference(avatar_component_clause,[],[f41523]) ).
fof(f13558,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| k1_filter_2(sK2) = X0 )
| ~ spl31_891 ),
inference(avatar_component_clause,[],[f13557]) ).
fof(f42236,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| m1_subset_1(X0,k17_filter_2(k1_lattice2(sK2)))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl31_475
| ~ spl31_738
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40525,f41563]) ).
fof(f40525,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m1_subset_1(X0,k17_filter_2(k1_lattice2(sK2)))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl31_475
| ~ spl31_738
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40524,f39526]) ).
fof(f39526,plain,
( k1_filter_0(k1_lattice2(sK2)) = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_1326
| ~ spl31_1327 ),
inference(superposition,[],[f39524,f39236]) ).
fof(f39236,plain,
( u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2))
| ~ spl31_1326 ),
inference(avatar_component_clause,[],[f39234]) ).
fof(f39524,plain,
( u1_struct_0(k1_lattice2(sK2)) = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_1327 ),
inference(avatar_component_clause,[],[f39522]) ).
fof(f40524,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m1_subset_1(X0,k17_filter_2(k1_lattice2(sK2)))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl31_475
| ~ spl31_738
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40523,f39236]) ).
fof(f40523,plain,
( ! [X0] :
( m1_subset_1(X0,k17_filter_2(k1_lattice2(sK2)))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2))) )
| ~ spl31_475
| ~ spl31_738
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40522,f39526]) ).
fof(f40522,plain,
( ! [X0] :
( m1_subset_1(X0,k1_filter_0(k1_lattice2(sK2)))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2))) )
| ~ spl31_475
| ~ spl31_738
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f9901,f39236]) ).
fof(f9901,plain,
( ! [X0] :
( ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| m1_subset_1(X0,u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2))) )
| ~ spl31_475
| ~ spl31_738 ),
inference(superposition,[],[f9375,f4911]) ).
fof(f4911,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_475 ),
inference(avatar_component_clause,[],[f4909]) ).
fof(f9375,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X1,k2_filter_2(X0,X2))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_738 ),
inference(avatar_component_clause,[],[f9374]) ).
fof(f49464,plain,
( spl31_1632
| ~ spl31_1326
| ~ spl31_1328
| ~ spl31_1631 ),
inference(avatar_split_clause,[],[f49459,f49454,f39812,f39234,f49461]) ).
fof(f49461,plain,
( spl31_1632
<=> k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1632])]) ).
fof(f49459,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2)))))
| ~ spl31_1326
| ~ spl31_1328
| ~ spl31_1631 ),
inference(forward_demodulation,[],[f49458,f39814]) ).
fof(f49458,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_0(k1_lattice2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_0(k1_lattice2(sK2)))))
| ~ spl31_1326
| ~ spl31_1631 ),
inference(forward_demodulation,[],[f49456,f39236]) ).
fof(f49456,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))))
| ~ spl31_1631 ),
inference(avatar_component_clause,[],[f49454]) ).
fof(f49457,plain,
( ~ spl31_3
| spl31_438
| spl31_1631
| ~ spl31_495
| ~ spl31_886 ),
inference(avatar_split_clause,[],[f13502,f13360,f5072,f49454,f4295,f537]) ).
fof(f13360,plain,
( spl31_886
<=> ! [X0] :
( k2_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_886])]) ).
fof(f13502,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_495
| ~ spl31_886 ),
inference(resolution,[],[f13361,f5073]) ).
fof(f5073,plain,
( v10_lattices(k1_lattice2(sK2))
| ~ spl31_495 ),
inference(avatar_component_clause,[],[f5072]) ).
fof(f13361,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_886 ),
inference(avatar_component_clause,[],[f13360]) ).
fof(f49446,plain,
( spl31_1630
| ~ spl31_1326
| ~ spl31_1328
| ~ spl31_1629 ),
inference(avatar_split_clause,[],[f49441,f49436,f39812,f39234,f49443]) ).
fof(f49443,plain,
( spl31_1630
<=> k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1630])]) ).
fof(f49441,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(k1_lattice2(sK2)))))
| ~ spl31_1326
| ~ spl31_1328
| ~ spl31_1629 ),
inference(forward_demodulation,[],[f49440,f39814]) ).
fof(f49440,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_0(k1_lattice2(sK2)))))
| ~ spl31_1326
| ~ spl31_1629 ),
inference(forward_demodulation,[],[f49438,f39236]) ).
fof(f49438,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))))
| ~ spl31_1629 ),
inference(avatar_component_clause,[],[f49436]) ).
fof(f49439,plain,
( ~ spl31_3
| spl31_438
| spl31_1629
| ~ spl31_495
| ~ spl31_885 ),
inference(avatar_split_clause,[],[f13500,f13356,f5072,f49436,f4295,f537]) ).
fof(f13356,plain,
( spl31_885
<=> ! [X0] :
( k18_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_885])]) ).
fof(f13500,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_495
| ~ spl31_885 ),
inference(resolution,[],[f13357,f5073]) ).
fof(f13357,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_885 ),
inference(avatar_component_clause,[],[f13356]) ).
fof(f49350,plain,
( spl31_1628
| ~ spl31_1469
| ~ spl31_1626 ),
inference(avatar_split_clause,[],[f49340,f49337,f43787,f49348]) ).
fof(f49348,plain,
( spl31_1628
<=> ! [X0] :
( ~ r2_hidden(X0,k1_filter_2(sK2))
| sK16(X0,sK2,k6_lattices(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1628])]) ).
fof(f49337,plain,
( spl31_1626
<=> ! [X0] :
( ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| sK16(X0,sK2,k6_lattices(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1626])]) ).
fof(f49340,plain,
( ! [X0] :
( ~ r2_hidden(X0,k1_filter_2(sK2))
| sK16(X0,sK2,k6_lattices(sK2)) = X0 )
| ~ spl31_1469
| ~ spl31_1626 ),
inference(forward_demodulation,[],[f49338,f43789]) ).
fof(f49338,plain,
( ! [X0] :
( ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| sK16(X0,sK2,k6_lattices(sK2)) = X0 )
| ~ spl31_1626 ),
inference(avatar_component_clause,[],[f49337]) ).
fof(f49345,plain,
( spl31_1627
| ~ spl31_1326
| ~ spl31_1327 ),
inference(avatar_split_clause,[],[f39526,f39522,f39234,f49342]) ).
fof(f49339,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1626
| ~ spl31_315
| ~ spl31_173
| ~ spl31_204
| ~ spl31_213
| ~ spl31_457 ),
inference(avatar_split_clause,[],[f4742,f4724,f1854,f1756,f1546,f2662,f49337,f537,f532,f527]) ).
fof(f1546,plain,
( spl31_173
<=> ! [X2,X0,X1] :
( sK16(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_173])]) ).
fof(f4724,plain,
( spl31_457
<=> k18_filter_2(sK2,k6_lattices(sK2)) = a_2_0_filter_2(sK2,k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_457])]) ).
fof(f4742,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| sK16(X0,sK2,k6_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_173
| ~ spl31_204
| ~ spl31_213
| ~ spl31_457 ),
inference(forward_demodulation,[],[f4741,f1856]) ).
fof(f4741,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(sK2))
| ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| sK16(X0,sK2,k6_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_173
| ~ spl31_204
| ~ spl31_457 ),
inference(forward_demodulation,[],[f4728,f1758]) ).
fof(f4728,plain,
( ! [X0] :
( ~ r2_hidden(X0,k18_filter_2(sK2,k6_lattices(sK2)))
| sK16(X0,sK2,k6_lattices(sK2)) = X0
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_173
| ~ spl31_457 ),
inference(superposition,[],[f1547,f4726]) ).
fof(f4726,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = a_2_0_filter_2(sK2,k6_lattices(sK2))
| ~ spl31_457 ),
inference(avatar_component_clause,[],[f4724]) ).
fof(f1547,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| sK16(X0,X1,X2) = X0
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_173 ),
inference(avatar_component_clause,[],[f1546]) ).
fof(f49256,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1625
| ~ spl31_358
| ~ spl31_173
| ~ spl31_204
| ~ spl31_213
| ~ spl31_456 ),
inference(avatar_split_clause,[],[f4690,f4672,f1854,f1756,f1546,f3129,f49254,f537,f532,f527]) ).
fof(f49254,plain,
( spl31_1625
<=> ! [X0] :
( ~ r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| sK16(X0,sK2,k5_lattices(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1625])]) ).
fof(f4690,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| ~ r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| sK16(X0,sK2,k5_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_173
| ~ spl31_204
| ~ spl31_213
| ~ spl31_456 ),
inference(forward_demodulation,[],[f4689,f1856]) ).
fof(f4689,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| ~ r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| sK16(X0,sK2,k5_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_173
| ~ spl31_204
| ~ spl31_456 ),
inference(forward_demodulation,[],[f4676,f1758]) ).
fof(f4676,plain,
( ! [X0] :
( ~ r2_hidden(X0,k18_filter_2(sK2,k5_lattices(sK2)))
| sK16(X0,sK2,k5_lattices(sK2)) = X0
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_173
| ~ spl31_456 ),
inference(superposition,[],[f1547,f4674]) ).
fof(f49173,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1624
| ~ spl31_315
| ~ spl31_172
| ~ spl31_204
| ~ spl31_213
| ~ spl31_454 ),
inference(avatar_split_clause,[],[f4633,f4615,f1854,f1756,f1542,f2662,f49171,f537,f532,f527]) ).
fof(f49171,plain,
( spl31_1624
<=> ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| sK15(X0,sK2,k6_lattices(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1624])]) ).
fof(f1542,plain,
( spl31_172
<=> ! [X2,X0,X1] :
( sK15(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_172])]) ).
fof(f4633,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| ~ r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| sK15(X0,sK2,k6_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_172
| ~ spl31_204
| ~ spl31_213
| ~ spl31_454 ),
inference(forward_demodulation,[],[f4632,f1856]) ).
fof(f4632,plain,
( ! [X0] :
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(sK2))
| ~ r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| sK15(X0,sK2,k6_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_172
| ~ spl31_204
| ~ spl31_454 ),
inference(forward_demodulation,[],[f4619,f1758]) ).
fof(f4619,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK2,k6_lattices(sK2)))
| sK15(X0,sK2,k6_lattices(sK2)) = X0
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_172
| ~ spl31_454 ),
inference(superposition,[],[f1543,f4617]) ).
fof(f1543,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| sK15(X0,X1,X2) = X0
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_172 ),
inference(avatar_component_clause,[],[f1542]) ).
fof(f49090,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1623
| ~ spl31_358
| ~ spl31_172
| ~ spl31_204
| ~ spl31_213
| ~ spl31_453 ),
inference(avatar_split_clause,[],[f4581,f4563,f1854,f1756,f1542,f3129,f49088,f537,f532,f527]) ).
fof(f49088,plain,
( spl31_1623
<=> ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| sK15(X0,sK2,k5_lattices(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1623])]) ).
fof(f4581,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| ~ r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| sK15(X0,sK2,k5_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_172
| ~ spl31_204
| ~ spl31_213
| ~ spl31_453 ),
inference(forward_demodulation,[],[f4580,f1856]) ).
fof(f4580,plain,
( ! [X0] :
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| ~ r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| sK15(X0,sK2,k5_lattices(sK2)) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_172
| ~ spl31_204
| ~ spl31_453 ),
inference(forward_demodulation,[],[f4567,f1758]) ).
fof(f4567,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_filter_0(sK2,k5_lattices(sK2)))
| sK15(X0,sK2,k5_lattices(sK2)) = X0
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_172
| ~ spl31_453 ),
inference(superposition,[],[f1543,f4565]) ).
fof(f47409,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1622
| ~ spl31_1455
| ~ spl31_159
| ~ spl31_477
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42227,f41523,f39522,f39234,f13557,f4924,f1408,f43511,f47406,f5076,f5072,f4295]) ).
fof(f47406,plain,
( spl31_1622
<=> m2_filter_2(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1622])]) ).
fof(f43511,plain,
( spl31_1455
<=> m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1455])]) ).
fof(f1408,plain,
( spl31_159
<=> ! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_159])]) ).
fof(f4924,plain,
( spl31_477
<=> k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_477])]) ).
fof(f42227,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_2(sK2))
| m2_filter_2(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_477
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40503,f41563]) ).
fof(f40503,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k17_filter_2(k1_lattice2(sK2)))
| m2_filter_2(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_477
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40502,f39526]) ).
fof(f40502,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_0(k1_lattice2(sK2)))
| m2_filter_2(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_477
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4929,f39236]) ).
fof(f4929,plain,
( m2_filter_2(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_477 ),
inference(superposition,[],[f1409,f4926]) ).
fof(f4926,plain,
( k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_477 ),
inference(avatar_component_clause,[],[f4924]) ).
fof(f1409,plain,
( ! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_159 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f47397,plain,
( spl31_1621
| ~ spl31_1409
| ~ spl31_1444 ),
inference(avatar_split_clause,[],[f46874,f43289,f41894,f47394]) ).
fof(f47394,plain,
( spl31_1621
<=> r3_lattices(sK2,sK10(sK22),sK10(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1621])]) ).
fof(f41894,plain,
( spl31_1409
<=> r3_lattices(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))),sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1409])]) ).
fof(f46874,plain,
( r3_lattices(sK2,sK10(sK22),sK10(sK22))
| ~ spl31_1409
| ~ spl31_1444 ),
inference(superposition,[],[f41896,f43291]) ).
fof(f41896,plain,
( r3_lattices(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))),sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| ~ spl31_1409 ),
inference(avatar_component_clause,[],[f41894]) ).
fof(f47392,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1620
| ~ spl31_1455
| ~ spl31_333
| ~ spl31_477
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42226,f41523,f39522,f39234,f13557,f4924,f2830,f43511,f47389,f5076,f5072,f4295]) ).
fof(f47389,plain,
( spl31_1620
<=> m2_lattice4(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1620])]) ).
fof(f2830,plain,
( spl31_333
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(k18_filter_2(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_333])]) ).
fof(f42226,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_2(sK2))
| m2_lattice4(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_477
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40501,f41563]) ).
fof(f40501,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k17_filter_2(k1_lattice2(sK2)))
| m2_lattice4(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_477
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40500,f39526]) ).
fof(f40500,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_0(k1_lattice2(sK2)))
| m2_lattice4(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_477
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4928,f39236]) ).
fof(f4928,plain,
( m2_lattice4(k2_filter_0(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_333
| ~ spl31_477 ),
inference(superposition,[],[f2831,f4926]) ).
fof(f2831,plain,
( ! [X0,X1] :
( m2_lattice4(k18_filter_2(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) )
| ~ spl31_333 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f47381,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1619
| ~ spl31_1455
| ~ spl31_334
| ~ spl31_471
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42218,f41523,f39522,f39234,f13557,f4881,f2834,f43511,f47378,f5076,f5072,f4295]) ).
fof(f47378,plain,
( spl31_1619
<=> m2_lattice4(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1619])]) ).
fof(f2834,plain,
( spl31_334
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(k2_filter_2(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_334])]) ).
fof(f4881,plain,
( spl31_471
<=> k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_471])]) ).
fof(f42218,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_2(sK2))
| m2_lattice4(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_471
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40485,f41563]) ).
fof(f40485,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k17_filter_2(k1_lattice2(sK2)))
| m2_lattice4(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_471
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40484,f39526]) ).
fof(f40484,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_0(k1_lattice2(sK2)))
| m2_lattice4(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_471
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4886,f39236]) ).
fof(f4886,plain,
( m2_lattice4(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_334
| ~ spl31_471 ),
inference(superposition,[],[f2835,f4883]) ).
fof(f4883,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_471 ),
inference(avatar_component_clause,[],[f4881]) ).
fof(f2835,plain,
( ! [X0,X1] :
( m2_lattice4(k2_filter_2(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) )
| ~ spl31_334 ),
inference(avatar_component_clause,[],[f2834]) ).
fof(f47368,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1618
| ~ spl31_1455
| ~ spl31_335
| ~ spl31_471
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42217,f41523,f39522,f39234,f13557,f4881,f2838,f43511,f47365,f5076,f5072,f4295]) ).
fof(f47365,plain,
( spl31_1618
<=> m1_filter_0(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1618])]) ).
fof(f2838,plain,
( spl31_335
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(k2_filter_2(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_335])]) ).
fof(f42217,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_2(sK2))
| m1_filter_0(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_471
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40483,f41563]) ).
fof(f40483,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k17_filter_2(k1_lattice2(sK2)))
| m1_filter_0(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_471
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40482,f39526]) ).
fof(f40482,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_0(k1_lattice2(sK2)))
| m1_filter_0(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_471
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4885,f39236]) ).
fof(f4885,plain,
( m1_filter_0(k18_filter_2(sK2,sK10(k1_filter_2(sK2))),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_335
| ~ spl31_471 ),
inference(superposition,[],[f2839,f4883]) ).
fof(f2839,plain,
( ! [X0,X1] :
( m1_filter_0(k2_filter_2(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) )
| ~ spl31_335 ),
inference(avatar_component_clause,[],[f2838]) ).
fof(f47363,plain,
( spl31_1617
| ~ spl31_450
| ~ spl31_736 ),
inference(avatar_split_clause,[],[f9844,f9366,f4526,f47361]) ).
fof(f47361,plain,
( spl31_1617
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1617])]) ).
fof(f4526,plain,
( spl31_450
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_450])]) ).
fof(f9366,plain,
( spl31_736
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0
| m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_736])]) ).
fof(f9844,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) )
| ~ spl31_450
| ~ spl31_736 ),
inference(resolution,[],[f9367,f4527]) ).
fof(f4527,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,X0)) )
| ~ spl31_450 ),
inference(avatar_component_clause,[],[f4526]) ).
fof(f9367,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1)
| m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0 )
| ~ spl31_736 ),
inference(avatar_component_clause,[],[f9366]) ).
fof(f47359,plain,
( spl31_1616
| ~ spl31_449
| ~ spl31_736 ),
inference(avatar_split_clause,[],[f9843,f9366,f4516,f47357]) ).
fof(f47357,plain,
( spl31_1616
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1616])]) ).
fof(f4516,plain,
( spl31_449
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_449])]) ).
fof(f9843,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) )
| ~ spl31_449
| ~ spl31_736 ),
inference(resolution,[],[f9367,f4517]) ).
fof(f4517,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,X0)) )
| ~ spl31_449 ),
inference(avatar_component_clause,[],[f4516]) ).
fof(f47355,plain,
( spl31_1615
| ~ spl31_448
| ~ spl31_736 ),
inference(avatar_split_clause,[],[f9842,f9366,f4507,f47353]) ).
fof(f47353,plain,
( spl31_1615
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1615])]) ).
fof(f4507,plain,
( spl31_448
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_448])]) ).
fof(f9842,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) )
| ~ spl31_448
| ~ spl31_736 ),
inference(resolution,[],[f9367,f4508]) ).
fof(f4508,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,X0)) )
| ~ spl31_448 ),
inference(avatar_component_clause,[],[f4507]) ).
fof(f47349,plain,
( spl31_1614
| ~ spl31_450
| ~ spl31_736 ),
inference(avatar_split_clause,[],[f9787,f9366,f4526,f47347]) ).
fof(f47347,plain,
( spl31_1614
<=> ! [X0] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1614])]) ).
fof(f9787,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_450
| ~ spl31_736 ),
inference(resolution,[],[f9367,f4527]) ).
fof(f47343,plain,
( spl31_1613
| ~ spl31_449
| ~ spl31_736 ),
inference(avatar_split_clause,[],[f9786,f9366,f4516,f47341]) ).
fof(f47341,plain,
( spl31_1613
<=> ! [X0] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1613])]) ).
fof(f9786,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_449
| ~ spl31_736 ),
inference(resolution,[],[f9367,f4517]) ).
fof(f47338,plain,
( ~ spl31_1612
| spl31_1003
| ~ spl31_1327 ),
inference(avatar_split_clause,[],[f39531,f39522,f17072,f47335]) ).
fof(f47335,plain,
( spl31_1612
<=> r2_hidden(k17_filter_2(k1_lattice2(sK2)),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1612])]) ).
fof(f17072,plain,
( spl31_1003
<=> r2_hidden(u1_struct_0(k1_lattice2(sK2)),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1003])]) ).
fof(f39531,plain,
( ~ r2_hidden(k17_filter_2(k1_lattice2(sK2)),k6_lattices(sK2))
| spl31_1003
| ~ spl31_1327 ),
inference(superposition,[],[f17074,f39524]) ).
fof(f17074,plain,
( ~ r2_hidden(u1_struct_0(k1_lattice2(sK2)),k6_lattices(sK2))
| spl31_1003 ),
inference(avatar_component_clause,[],[f17072]) ).
fof(f47331,plain,
( spl31_1611
| ~ spl31_448
| ~ spl31_736 ),
inference(avatar_split_clause,[],[f9785,f9366,f4507,f47329]) ).
fof(f47329,plain,
( spl31_1611
<=> ! [X0] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1611])]) ).
fof(f9785,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_448
| ~ spl31_736 ),
inference(resolution,[],[f9367,f4508]) ).
fof(f47325,plain,
( spl31_1610
| ~ spl31_450
| ~ spl31_734 ),
inference(avatar_split_clause,[],[f9710,f9358,f4526,f47323]) ).
fof(f47323,plain,
( spl31_1610
<=> ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1610])]) ).
fof(f9358,plain,
( spl31_734
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_734])]) ).
fof(f9710,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_450
| ~ spl31_734 ),
inference(resolution,[],[f9359,f4527]) ).
fof(f9359,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0)
| sK10(k1_zfmisc_1(X0)) = X1 )
| ~ spl31_734 ),
inference(avatar_component_clause,[],[f9358]) ).
fof(f47319,plain,
( spl31_1609
| ~ spl31_449
| ~ spl31_734 ),
inference(avatar_split_clause,[],[f9709,f9358,f4516,f47317]) ).
fof(f47317,plain,
( spl31_1609
<=> ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1609])]) ).
fof(f9709,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_449
| ~ spl31_734 ),
inference(resolution,[],[f9359,f4517]) ).
fof(f47313,plain,
( spl31_1608
| ~ spl31_448
| ~ spl31_734 ),
inference(avatar_split_clause,[],[f9708,f9358,f4507,f47311]) ).
fof(f47311,plain,
( spl31_1608
<=> ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1608])]) ).
fof(f9708,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_448
| ~ spl31_734 ),
inference(resolution,[],[f9359,f4508]) ).
fof(f47309,plain,
( spl31_1607
| ~ spl31_450
| ~ spl31_734 ),
inference(avatar_split_clause,[],[f9653,f9358,f4526,f47307]) ).
fof(f47307,plain,
( spl31_1607
<=> ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1607])]) ).
fof(f9653,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) )
| ~ spl31_450
| ~ spl31_734 ),
inference(resolution,[],[f9359,f4527]) ).
fof(f47305,plain,
( spl31_1606
| ~ spl31_449
| ~ spl31_734 ),
inference(avatar_split_clause,[],[f9652,f9358,f4516,f47303]) ).
fof(f47303,plain,
( spl31_1606
<=> ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1606])]) ).
fof(f9652,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) )
| ~ spl31_449
| ~ spl31_734 ),
inference(resolution,[],[f9359,f4517]) ).
fof(f47301,plain,
( spl31_1605
| ~ spl31_448
| ~ spl31_734 ),
inference(avatar_split_clause,[],[f9651,f9358,f4507,f47299]) ).
fof(f47299,plain,
( spl31_1605
<=> ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1605])]) ).
fof(f9651,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),X0)
| sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) )
| ~ spl31_448
| ~ spl31_734 ),
inference(resolution,[],[f9359,f4508]) ).
fof(f47295,plain,
( spl31_1604
| ~ spl31_450
| ~ spl31_731 ),
inference(avatar_split_clause,[],[f9527,f9346,f4526,f47293]) ).
fof(f47293,plain,
( spl31_1604
<=> ! [X0] :
( r2_hidden(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1604])]) ).
fof(f9346,plain,
( spl31_731
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0)
| r2_hidden(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_731])]) ).
fof(f9527,plain,
( ! [X0] :
( r2_hidden(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_450
| ~ spl31_731 ),
inference(resolution,[],[f9347,f4527]) ).
fof(f9347,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0)
| r2_hidden(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1 )
| ~ spl31_731 ),
inference(avatar_component_clause,[],[f9346]) ).
fof(f47289,plain,
( spl31_1603
| ~ spl31_449
| ~ spl31_731 ),
inference(avatar_split_clause,[],[f9526,f9346,f4516,f47287]) ).
fof(f47287,plain,
( spl31_1603
<=> ! [X0] :
( r2_hidden(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1603])]) ).
fof(f9526,plain,
( ! [X0] :
( r2_hidden(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_449
| ~ spl31_731 ),
inference(resolution,[],[f9347,f4517]) ).
fof(f47283,plain,
( spl31_1602
| ~ spl31_448
| ~ spl31_731 ),
inference(avatar_split_clause,[],[f9525,f9346,f4507,f47281]) ).
fof(f47281,plain,
( spl31_1602
<=> ! [X0] :
( r2_hidden(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1602])]) ).
fof(f9525,plain,
( ! [X0] :
( r2_hidden(sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_448
| ~ spl31_731 ),
inference(resolution,[],[f9347,f4508]) ).
fof(f47278,plain,
( ~ spl31_1601
| spl31_1003
| ~ spl31_1326 ),
inference(avatar_split_clause,[],[f39238,f39234,f17072,f47275]) ).
fof(f47275,plain,
( spl31_1601
<=> r2_hidden(k1_filter_0(k1_lattice2(sK2)),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1601])]) ).
fof(f39238,plain,
( ~ r2_hidden(k1_filter_0(k1_lattice2(sK2)),k6_lattices(sK2))
| spl31_1003
| ~ spl31_1326 ),
inference(superposition,[],[f17074,f39236]) ).
fof(f47271,plain,
( spl31_1600
| ~ spl31_450
| ~ spl31_730 ),
inference(avatar_split_clause,[],[f9420,f9342,f4526,f47269]) ).
fof(f47269,plain,
( spl31_1600
<=> ! [X0] :
( r2_hidden(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1600])]) ).
fof(f9342,plain,
( spl31_730
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1)
| r2_hidden(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_730])]) ).
fof(f9420,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_450
| ~ spl31_730 ),
inference(resolution,[],[f9343,f4527]) ).
fof(f9343,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1)
| r2_hidden(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0 )
| ~ spl31_730 ),
inference(avatar_component_clause,[],[f9342]) ).
fof(f47265,plain,
( spl31_1599
| ~ spl31_449
| ~ spl31_730 ),
inference(avatar_split_clause,[],[f9419,f9342,f4516,f47263]) ).
fof(f47263,plain,
( spl31_1599
<=> ! [X0] :
( r2_hidden(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1599])]) ).
fof(f9419,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_449
| ~ spl31_730 ),
inference(resolution,[],[f9343,f4517]) ).
fof(f47259,plain,
( spl31_1598
| ~ spl31_448
| ~ spl31_730 ),
inference(avatar_split_clause,[],[f9418,f9342,f4507,f47257]) ).
fof(f47257,plain,
( spl31_1598
<=> ! [X0] :
( r2_hidden(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1598])]) ).
fof(f9418,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_448
| ~ spl31_730 ),
inference(resolution,[],[f9343,f4508]) ).
fof(f47255,plain,
( spl31_234
| spl31_1597
| ~ spl31_450
| ~ spl31_700 ),
inference(avatar_split_clause,[],[f9121,f8542,f4526,f47253,f1979]) ).
fof(f47253,plain,
( spl31_1597
<=> ! [X0] :
( m1_subset_1(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1597])]) ).
fof(f8542,plain,
( spl31_700
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK3(X1)),X0)
| sK3(X1) = X0
| m1_subset_1(sK12(X0,sK3(X1)),X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_700])]) ).
fof(f9121,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_450
| ~ spl31_700 ),
inference(resolution,[],[f8543,f4527]) ).
fof(f8543,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK3(X1)),X1)
| m1_subset_1(sK12(X0,sK3(X1)),X0)
| sK3(X1) = X0
| v1_xboole_0(X1) )
| ~ spl31_700 ),
inference(avatar_component_clause,[],[f8542]) ).
fof(f47251,plain,
( spl31_234
| spl31_1596
| ~ spl31_449
| ~ spl31_700 ),
inference(avatar_split_clause,[],[f9120,f8542,f4516,f47249,f1979]) ).
fof(f47249,plain,
( spl31_1596
<=> ! [X0] :
( m1_subset_1(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1596])]) ).
fof(f9120,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_449
| ~ spl31_700 ),
inference(resolution,[],[f8543,f4517]) ).
fof(f47247,plain,
( spl31_234
| spl31_1595
| ~ spl31_448
| ~ spl31_700 ),
inference(avatar_split_clause,[],[f9119,f8542,f4507,f47245,f1979]) ).
fof(f47245,plain,
( spl31_1595
<=> ! [X0] :
( m1_subset_1(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1595])]) ).
fof(f9119,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_448
| ~ spl31_700 ),
inference(resolution,[],[f8543,f4508]) ).
fof(f47243,plain,
( spl31_234
| spl31_1594
| ~ spl31_450
| ~ spl31_698 ),
inference(avatar_split_clause,[],[f9045,f8534,f4526,f47241,f1979]) ).
fof(f47241,plain,
( spl31_1594
<=> ! [X0] :
( m1_subset_1(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1594])]) ).
fof(f8534,plain,
( spl31_698
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK3(X0),X1),X1)
| sK3(X0) = X1
| m1_subset_1(sK12(sK3(X0),X1),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_698])]) ).
fof(f9045,plain,
( ! [X0] :
( m1_subset_1(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_450
| ~ spl31_698 ),
inference(resolution,[],[f8535,f4527]) ).
fof(f8535,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK3(X0),X1),X1)
| m1_subset_1(sK12(sK3(X0),X1),X0)
| sK3(X0) = X1
| v1_xboole_0(X0) )
| ~ spl31_698 ),
inference(avatar_component_clause,[],[f8534]) ).
fof(f47239,plain,
( spl31_234
| spl31_1593
| ~ spl31_449
| ~ spl31_698 ),
inference(avatar_split_clause,[],[f9044,f8534,f4516,f47237,f1979]) ).
fof(f47237,plain,
( spl31_1593
<=> ! [X0] :
( m1_subset_1(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1593])]) ).
fof(f9044,plain,
( ! [X0] :
( m1_subset_1(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_449
| ~ spl31_698 ),
inference(resolution,[],[f8535,f4517]) ).
fof(f47235,plain,
( spl31_234
| spl31_1592
| ~ spl31_448
| ~ spl31_698 ),
inference(avatar_split_clause,[],[f9043,f8534,f4507,f47233,f1979]) ).
fof(f47233,plain,
( spl31_1592
<=> ! [X0] :
( m1_subset_1(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1592])]) ).
fof(f9043,plain,
( ! [X0] :
( m1_subset_1(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_448
| ~ spl31_698 ),
inference(resolution,[],[f8535,f4508]) ).
fof(f47231,plain,
( spl31_234
| spl31_1591
| ~ spl31_450
| ~ spl31_696 ),
inference(avatar_split_clause,[],[f8868,f8526,f4526,f47229,f1979]) ).
fof(f47229,plain,
( spl31_1591
<=> ! [X0] :
( r2_hidden(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1591])]) ).
fof(f8526,plain,
( spl31_696
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK3(X0),X1),X0)
| v1_xboole_0(X0)
| r2_hidden(sK12(sK3(X0),X1),X1)
| sK3(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_696])]) ).
fof(f8868,plain,
( ! [X0] :
( r2_hidden(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| v1_xboole_0(k1_filter_2(sK2))
| sK3(k1_filter_2(sK2)) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_450
| ~ spl31_696 ),
inference(resolution,[],[f8527,f4527]) ).
fof(f8527,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK3(X0),X1),X0)
| r2_hidden(sK12(sK3(X0),X1),X1)
| v1_xboole_0(X0)
| sK3(X0) = X1 )
| ~ spl31_696 ),
inference(avatar_component_clause,[],[f8526]) ).
fof(f47227,plain,
( spl31_234
| spl31_1590
| ~ spl31_449
| ~ spl31_696 ),
inference(avatar_split_clause,[],[f8867,f8526,f4516,f47225,f1979]) ).
fof(f47225,plain,
( spl31_1590
<=> ! [X0] :
( r2_hidden(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1590])]) ).
fof(f8867,plain,
( ! [X0] :
( r2_hidden(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| v1_xboole_0(k1_filter_2(sK2))
| sK3(k1_filter_2(sK2)) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_449
| ~ spl31_696 ),
inference(resolution,[],[f8527,f4517]) ).
fof(f47223,plain,
( spl31_234
| spl31_1589
| ~ spl31_448
| ~ spl31_696 ),
inference(avatar_split_clause,[],[f8866,f8526,f4507,f47221,f1979]) ).
fof(f47221,plain,
( spl31_1589
<=> ! [X0] :
( r2_hidden(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1589])]) ).
fof(f8866,plain,
( ! [X0] :
( r2_hidden(sK12(sK3(k1_filter_2(sK2)),X0),X0)
| v1_xboole_0(k1_filter_2(sK2))
| sK3(k1_filter_2(sK2)) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_448
| ~ spl31_696 ),
inference(resolution,[],[f8527,f4508]) ).
fof(f47219,plain,
( spl31_234
| spl31_1588
| ~ spl31_450
| ~ spl31_695 ),
inference(avatar_split_clause,[],[f8765,f8522,f4526,f47217,f1979]) ).
fof(f47217,plain,
( spl31_1588
<=> ! [X0] :
( r2_hidden(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1588])]) ).
fof(f8522,plain,
( spl31_695
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK3(X1)),X1)
| v1_xboole_0(X1)
| r2_hidden(sK12(X0,sK3(X1)),X0)
| sK3(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_695])]) ).
fof(f8765,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| v1_xboole_0(k1_filter_2(sK2))
| sK3(k1_filter_2(sK2)) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_450
| ~ spl31_695 ),
inference(resolution,[],[f8523,f4527]) ).
fof(f8523,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK3(X1)),X1)
| r2_hidden(sK12(X0,sK3(X1)),X0)
| v1_xboole_0(X1)
| sK3(X1) = X0 )
| ~ spl31_695 ),
inference(avatar_component_clause,[],[f8522]) ).
fof(f47215,plain,
( spl31_234
| spl31_1587
| ~ spl31_449
| ~ spl31_695 ),
inference(avatar_split_clause,[],[f8764,f8522,f4516,f47213,f1979]) ).
fof(f47213,plain,
( spl31_1587
<=> ! [X0] :
( r2_hidden(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1587])]) ).
fof(f8764,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| v1_xboole_0(k1_filter_2(sK2))
| sK3(k1_filter_2(sK2)) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_449
| ~ spl31_695 ),
inference(resolution,[],[f8523,f4517]) ).
fof(f47211,plain,
( spl31_234
| spl31_1586
| ~ spl31_448
| ~ spl31_695 ),
inference(avatar_split_clause,[],[f8763,f8522,f4507,f47209,f1979]) ).
fof(f47209,plain,
( spl31_1586
<=> ! [X0] :
( r2_hidden(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1586])]) ).
fof(f8763,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK3(k1_filter_2(sK2))),X0)
| v1_xboole_0(k1_filter_2(sK2))
| sK3(k1_filter_2(sK2)) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_448
| ~ spl31_695 ),
inference(resolution,[],[f8523,f4508]) ).
fof(f47207,plain,
( spl31_1585
| ~ spl31_460
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7467,f6955,f4792,f47205]) ).
fof(f47205,plain,
( spl31_1585
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1585])]) ).
fof(f4792,plain,
( spl31_460
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k5_filter_2(sK2,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_460])]) ).
fof(f7467,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) )
| ~ spl31_460
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4793]) ).
fof(f4793,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k5_filter_2(sK2,X0) = X0 )
| ~ spl31_460 ),
inference(avatar_component_clause,[],[f4792]) ).
fof(f47203,plain,
( spl31_1584
| ~ spl31_460
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7415,f6951,f4792,f47201]) ).
fof(f47201,plain,
( spl31_1584
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1584])]) ).
fof(f7415,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) )
| ~ spl31_460
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4793]) ).
fof(f47198,plain,
( spl31_1583
| ~ spl31_460
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7363,f6947,f4792,f47196]) ).
fof(f47196,plain,
( spl31_1583
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))) = k5_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1583])]) ).
fof(f7363,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))) = k5_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) )
| ~ spl31_460
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4793]) ).
fof(f47183,plain,
( spl31_234
| spl31_1582
| ~ spl31_460
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7310,f6943,f4792,f47181,f1979]) ).
fof(f47181,plain,
( spl31_1582
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK12(X0,sK3(k1_filter_2(sK2))) = k5_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1582])]) ).
fof(f7310,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| sK12(X0,sK3(k1_filter_2(sK2))) = k5_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))) )
| ~ spl31_460
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4793]) ).
fof(f47178,plain,
( spl31_1581
| ~ spl31_460
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7258,f6939,f4792,f47176]) ).
fof(f47176,plain,
( spl31_1581
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0) = k5_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1581])]) ).
fof(f7258,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0) = k5_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) )
| ~ spl31_460
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4793]) ).
fof(f47163,plain,
( spl31_234
| spl31_1580
| ~ spl31_460
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7205,f6930,f4792,f47161,f1979]) ).
fof(f47161,plain,
( spl31_1580
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK12(sK3(k1_filter_2(sK2)),X0) = k5_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1580])]) ).
fof(f7205,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| sK12(sK3(k1_filter_2(sK2)),X0) = k5_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)) )
| ~ spl31_460
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4793]) ).
fof(f47159,plain,
( spl31_1579
| ~ spl31_468
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6672,f6364,f4857,f47157]) ).
fof(f47157,plain,
( spl31_1579
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1579])]) ).
fof(f6364,plain,
( spl31_578
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK12(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_578])]) ).
fof(f6672,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_468
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4858]) ).
fof(f6365,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X1)
| m1_subset_1(sK12(X0,X1),X0)
| X0 = X1 )
| ~ spl31_578 ),
inference(avatar_component_clause,[],[f6364]) ).
fof(f47155,plain,
( spl31_1578
| ~ spl31_467
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6671,f6364,f4848,f47153]) ).
fof(f47153,plain,
( spl31_1578
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1578])]) ).
fof(f6671,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_467
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4849]) ).
fof(f47151,plain,
( spl31_1577
| ~ spl31_466
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6670,f6364,f4839,f47149]) ).
fof(f47149,plain,
( spl31_1577
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1577])]) ).
fof(f6670,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_466
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4840]) ).
fof(f47147,plain,
( spl31_1576
| ~ spl31_468
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6623,f6364,f4857,f47145]) ).
fof(f47145,plain,
( spl31_1576
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1576])]) ).
fof(f6623,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_468
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4858]) ).
fof(f47143,plain,
( spl31_1575
| ~ spl31_467
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6622,f6364,f4848,f47141]) ).
fof(f47141,plain,
( spl31_1575
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1575])]) ).
fof(f6622,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_467
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4849]) ).
fof(f47139,plain,
( ~ spl31_1574
| spl31_1369
| ~ spl31_1444 ),
inference(avatar_split_clause,[],[f46873,f43289,f40437,f47136]) ).
fof(f47136,plain,
( spl31_1574
<=> v1_xboole_0(k2_filter_0(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1574])]) ).
fof(f40437,plain,
( spl31_1369
<=> v1_xboole_0(k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1369])]) ).
fof(f46873,plain,
( ~ v1_xboole_0(k2_filter_0(sK2,sK10(sK22)))
| spl31_1369
| ~ spl31_1444 ),
inference(superposition,[],[f40439,f43291]) ).
fof(f40439,plain,
( ~ v1_xboole_0(k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1369 ),
inference(avatar_component_clause,[],[f40437]) ).
fof(f47134,plain,
( spl31_1573
| ~ spl31_466
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6621,f6364,f4839,f47132]) ).
fof(f47132,plain,
( spl31_1573
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1573])]) ).
fof(f6621,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_466
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4840]) ).
fof(f47102,plain,
( spl31_1572
| ~ spl31_1443
| ~ spl31_1571 ),
inference(avatar_split_clause,[],[f47097,f47093,f43284,f47099]) ).
fof(f47099,plain,
( spl31_1572
<=> sK10(sK3(k1_filter_2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1572])]) ).
fof(f47093,plain,
( spl31_1571
<=> k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1571])]) ).
fof(f47097,plain,
( sK10(sK3(k1_filter_2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1571 ),
inference(forward_demodulation,[],[f47095,f43286]) ).
fof(f47095,plain,
( k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_1571 ),
inference(avatar_component_clause,[],[f47093]) ).
fof(f47096,plain,
( spl31_1571
| spl31_1384
| spl31_234
| ~ spl31_497
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5972,f5824,f5080,f1979,f41597,f47093]) ).
fof(f5972,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_497
| ~ spl31_532 ),
inference(resolution,[],[f5825,f5081]) ).
fof(f47071,plain,
( spl31_1570
| ~ spl31_1443
| ~ spl31_1488
| ~ spl31_1569 ),
inference(avatar_split_clause,[],[f47066,f47061,f44476,f43284,f47068]) ).
fof(f44476,plain,
( spl31_1488
<=> k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1488])]) ).
fof(f47061,plain,
( spl31_1569
<=> k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1569])]) ).
fof(f47066,plain,
( k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1488
| ~ spl31_1569 ),
inference(forward_demodulation,[],[f47065,f44478]) ).
fof(f44478,plain,
( k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1488 ),
inference(avatar_component_clause,[],[f44476]) ).
fof(f47065,plain,
( k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1569 ),
inference(forward_demodulation,[],[f47063,f43286]) ).
fof(f47063,plain,
( k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_1569 ),
inference(avatar_component_clause,[],[f47061]) ).
fof(f47064,plain,
( spl31_1569
| spl31_1384
| spl31_234
| ~ spl31_483
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5971,f5824,f4979,f1979,f41597,f47061]) ).
fof(f5971,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_483
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4980]) ).
fof(f47035,plain,
( spl31_1568
| ~ spl31_1443
| ~ spl31_1567 ),
inference(avatar_split_clause,[],[f47030,f47026,f43284,f47032]) ).
fof(f47026,plain,
( spl31_1567
<=> k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1567])]) ).
fof(f47030,plain,
( k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_2(k1_lattice2(sK2),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_1443
| ~ spl31_1567 ),
inference(forward_demodulation,[],[f47028,f43286]) ).
fof(f47028,plain,
( k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_1567 ),
inference(avatar_component_clause,[],[f47026]) ).
fof(f47029,plain,
( spl31_1567
| spl31_1384
| spl31_234
| ~ spl31_482
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5970,f5824,f4967,f1979,f41597,f47026]) ).
fof(f5970,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_482
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4968]) ).
fof(f47024,plain,
( ~ spl31_1566
| spl31_1368
| ~ spl31_1444 ),
inference(avatar_split_clause,[],[f46872,f43289,f40432,f47021]) ).
fof(f47021,plain,
( spl31_1566
<=> v1_xboole_0(k2_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1566])]) ).
fof(f40432,plain,
( spl31_1368
<=> v1_xboole_0(k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1368])]) ).
fof(f46872,plain,
( ~ v1_xboole_0(k2_filter_2(sK2,sK10(sK22)))
| spl31_1368
| ~ spl31_1444 ),
inference(superposition,[],[f40434,f43291]) ).
fof(f40434,plain,
( ~ v1_xboole_0(k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1368 ),
inference(avatar_component_clause,[],[f40432]) ).
fof(f47019,plain,
( ~ spl31_1565
| ~ spl31_1444
| spl31_1564 ),
inference(avatar_split_clause,[],[f47014,f47010,f43289,f47016]) ).
fof(f47016,plain,
( spl31_1565
<=> k5_filter_2(sK2,sK10(sK22)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1565])]) ).
fof(f47010,plain,
( spl31_1564
<=> k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1564])]) ).
fof(f47014,plain,
( k5_filter_2(sK2,sK10(sK22)) != k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22)))
| ~ spl31_1444
| spl31_1564 ),
inference(forward_demodulation,[],[f47011,f43291]) ).
fof(f47011,plain,
( k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) != k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1564 ),
inference(avatar_component_clause,[],[f47010]) ).
fof(f47013,plain,
( spl31_1564
| spl31_1367
| ~ spl31_497
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5923,f5759,f5080,f40419,f47010]) ).
fof(f5923,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_497
| ~ spl31_524 ),
inference(resolution,[],[f5760,f5081]) ).
fof(f47008,plain,
( ~ spl31_1563
| ~ spl31_1444
| spl31_1562 ),
inference(avatar_split_clause,[],[f47003,f46999,f43289,f47005]) ).
fof(f47005,plain,
( spl31_1563
<=> k2_filter_2(sK2,sK10(sK22)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1563])]) ).
fof(f46999,plain,
( spl31_1562
<=> k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1562])]) ).
fof(f47003,plain,
( k2_filter_2(sK2,sK10(sK22)) != k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22)))
| ~ spl31_1444
| spl31_1562 ),
inference(forward_demodulation,[],[f47000,f43291]) ).
fof(f47000,plain,
( k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) != k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1562 ),
inference(avatar_component_clause,[],[f46999]) ).
fof(f47002,plain,
( spl31_1562
| spl31_1367
| ~ spl31_483
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5922,f5759,f4979,f40419,f46999]) ).
fof(f5922,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_483
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4980]) ).
fof(f46997,plain,
( ~ spl31_1561
| ~ spl31_1444
| spl31_1560 ),
inference(avatar_split_clause,[],[f46992,f46988,f43289,f46994]) ).
fof(f46994,plain,
( spl31_1561
<=> k18_filter_2(sK2,sK10(sK22)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1561])]) ).
fof(f46988,plain,
( spl31_1560
<=> k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1560])]) ).
fof(f46992,plain,
( k18_filter_2(sK2,sK10(sK22)) != k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK22)))
| ~ spl31_1444
| spl31_1560 ),
inference(forward_demodulation,[],[f46989,f43291]) ).
fof(f46989,plain,
( k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) != k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1560 ),
inference(avatar_component_clause,[],[f46988]) ).
fof(f46991,plain,
( spl31_1560
| spl31_1367
| ~ spl31_482
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5921,f5759,f4967,f40419,f46988]) ).
fof(f5921,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_482
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4968]) ).
fof(f46986,plain,
( spl31_1559
| ~ spl31_309
| ~ spl31_468 ),
inference(avatar_split_clause,[],[f4864,f4857,f2572,f46984]) ).
fof(f46984,plain,
( spl31_1559
<=> ! [X0] :
( k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1559])]) ).
fof(f4864,plain,
( ! [X0] :
( k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_468 ),
inference(resolution,[],[f4858,f2573]) ).
fof(f46982,plain,
( ~ spl31_1558
| spl31_1366
| ~ spl31_1444 ),
inference(avatar_split_clause,[],[f46871,f43289,f40415,f46979]) ).
fof(f46979,plain,
( spl31_1558
<=> v1_xboole_0(k18_filter_2(sK2,sK10(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1558])]) ).
fof(f40415,plain,
( spl31_1366
<=> v1_xboole_0(k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1366])]) ).
fof(f46871,plain,
( ~ v1_xboole_0(k18_filter_2(sK2,sK10(sK22)))
| spl31_1366
| ~ spl31_1444 ),
inference(superposition,[],[f40417,f43291]) ).
fof(f40417,plain,
( ~ v1_xboole_0(k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| spl31_1366 ),
inference(avatar_component_clause,[],[f40415]) ).
fof(f46977,plain,
( spl31_1557
| ~ spl31_307
| ~ spl31_468 ),
inference(avatar_split_clause,[],[f4863,f4857,f2564,f46975]) ).
fof(f46975,plain,
( spl31_1557
<=> ! [X0] :
( k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1557])]) ).
fof(f4863,plain,
( ! [X0] :
( k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_468 ),
inference(resolution,[],[f4858,f2565]) ).
fof(f46973,plain,
( spl31_1556
| ~ spl31_309
| ~ spl31_467 ),
inference(avatar_split_clause,[],[f4855,f4848,f2572,f46971]) ).
fof(f46971,plain,
( spl31_1556
<=> ! [X0] :
( k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1556])]) ).
fof(f4855,plain,
( ! [X0] :
( k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_467 ),
inference(resolution,[],[f4849,f2573]) ).
fof(f46969,plain,
( spl31_1555
| ~ spl31_307
| ~ spl31_467 ),
inference(avatar_split_clause,[],[f4854,f4848,f2564,f46967]) ).
fof(f46967,plain,
( spl31_1555
<=> ! [X0] :
( k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1555])]) ).
fof(f4854,plain,
( ! [X0] :
( k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_467 ),
inference(resolution,[],[f4849,f2565]) ).
fof(f46965,plain,
( spl31_1554
| ~ spl31_309
| ~ spl31_466 ),
inference(avatar_split_clause,[],[f4846,f4839,f2572,f46963]) ).
fof(f46963,plain,
( spl31_1554
<=> ! [X0] :
( k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1554])]) ).
fof(f4846,plain,
( ! [X0] :
( k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_466 ),
inference(resolution,[],[f4840,f2573]) ).
fof(f46961,plain,
( spl31_1553
| ~ spl31_307
| ~ spl31_466 ),
inference(avatar_split_clause,[],[f4845,f4839,f2564,f46959]) ).
fof(f46959,plain,
( spl31_1553
<=> ! [X0] :
( k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1553])]) ).
fof(f4845,plain,
( ! [X0] :
( k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_466 ),
inference(resolution,[],[f4840,f2565]) ).
fof(f46175,plain,
( spl31_1552
| ~ spl31_496
| ~ spl31_749 ),
inference(avatar_split_clause,[],[f10117,f10061,f5076,f46172]) ).
fof(f46172,plain,
( spl31_1552
<=> k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sK2)))) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(k1_lattice2(sK2)))),u1_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK2)))),u2_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1552])]) ).
fof(f10061,plain,
( spl31_749
<=> ! [X0] :
( k1_lattice2(k1_lattice2(k1_lattice2(X0))) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(X0))),u1_lattices(k1_lattice2(k1_lattice2(X0))),u2_lattices(k1_lattice2(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_749])]) ).
fof(f10117,plain,
( k1_lattice2(k1_lattice2(k1_lattice2(k1_lattice2(sK2)))) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(k1_lattice2(sK2)))),u1_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK2)))),u2_lattices(k1_lattice2(k1_lattice2(k1_lattice2(sK2)))))
| ~ spl31_496
| ~ spl31_749 ),
inference(resolution,[],[f10062,f5077]) ).
fof(f10062,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(k1_lattice2(k1_lattice2(X0))) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(X0))),u1_lattices(k1_lattice2(k1_lattice2(X0))),u2_lattices(k1_lattice2(k1_lattice2(X0)))) )
| ~ spl31_749 ),
inference(avatar_component_clause,[],[f10061]) ).
fof(f46170,plain,
( spl31_1551
| ~ spl31_450
| ~ spl31_700 ),
inference(avatar_split_clause,[],[f9178,f8542,f4526,f46168]) ).
fof(f46168,plain,
( spl31_1551
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK3(X0)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK3(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1551])]) ).
fof(f9178,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK3(X0)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK3(X0)))) )
| ~ spl31_450
| ~ spl31_700 ),
inference(resolution,[],[f8543,f4527]) ).
fof(f46166,plain,
( spl31_1550
| ~ spl31_449
| ~ spl31_700 ),
inference(avatar_split_clause,[],[f9177,f8542,f4516,f46164]) ).
fof(f46164,plain,
( spl31_1550
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK3(X0)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK3(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1550])]) ).
fof(f9177,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK3(X0)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK3(X0)))) )
| ~ spl31_449
| ~ spl31_700 ),
inference(resolution,[],[f8543,f4517]) ).
fof(f46162,plain,
( spl31_1549
| ~ spl31_448
| ~ spl31_700 ),
inference(avatar_split_clause,[],[f9176,f8542,f4507,f46160]) ).
fof(f46160,plain,
( spl31_1549
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK3(X0)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK3(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1549])]) ).
fof(f9176,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),sK3(X0)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK3(X0)))) )
| ~ spl31_448
| ~ spl31_700 ),
inference(resolution,[],[f8543,f4508]) ).
fof(f46158,plain,
( spl31_1548
| ~ spl31_450
| ~ spl31_698 ),
inference(avatar_split_clause,[],[f8988,f8534,f4526,f46156]) ).
fof(f46156,plain,
( spl31_1548
<=> ! [X0] :
( m1_subset_1(sK12(sK3(X0),k1_filter_2(sK2)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(X0),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1548])]) ).
fof(f8988,plain,
( ! [X0] :
( m1_subset_1(sK12(sK3(X0),k1_filter_2(sK2)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(X0),k1_filter_2(sK2)))) )
| ~ spl31_450
| ~ spl31_698 ),
inference(resolution,[],[f8535,f4527]) ).
fof(f46154,plain,
( spl31_1547
| ~ spl31_449
| ~ spl31_698 ),
inference(avatar_split_clause,[],[f8987,f8534,f4516,f46152]) ).
fof(f46152,plain,
( spl31_1547
<=> ! [X0] :
( m1_subset_1(sK12(sK3(X0),k1_filter_2(sK2)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(X0),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1547])]) ).
fof(f8987,plain,
( ! [X0] :
( m1_subset_1(sK12(sK3(X0),k1_filter_2(sK2)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(X0),k1_filter_2(sK2)))) )
| ~ spl31_449
| ~ spl31_698 ),
inference(resolution,[],[f8535,f4517]) ).
fof(f46150,plain,
( spl31_1546
| ~ spl31_448
| ~ spl31_698 ),
inference(avatar_split_clause,[],[f8986,f8534,f4507,f46148]) ).
fof(f46148,plain,
( spl31_1546
<=> ! [X0] :
( m1_subset_1(sK12(sK3(X0),k1_filter_2(sK2)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(X0),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1546])]) ).
fof(f8986,plain,
( ! [X0] :
( m1_subset_1(sK12(sK3(X0),k1_filter_2(sK2)),X0)
| sK3(X0) = k1_filter_2(sK2)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(X0),k1_filter_2(sK2)))) )
| ~ spl31_448
| ~ spl31_698 ),
inference(resolution,[],[f8535,f4508]) ).
fof(f46146,plain,
( spl31_1545
| ~ spl31_469
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7471,f6955,f4866,f46144]) ).
fof(f46144,plain,
( spl31_1545
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| r3_lattices(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1545])]) ).
fof(f4866,plain,
( spl31_469
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| r3_lattices(sK2,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_469])]) ).
fof(f7471,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| r3_lattices(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))),sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0)))) )
| ~ spl31_469
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4867]) ).
fof(f4867,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| r3_lattices(sK2,X0,X0) )
| ~ spl31_469 ),
inference(avatar_component_clause,[],[f4866]) ).
fof(f46142,plain,
( spl31_1544
| ~ spl31_469
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7419,f6951,f4866,f46140]) ).
fof(f46140,plain,
( spl31_1544
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| r3_lattices(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1544])]) ).
fof(f7419,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| r3_lattices(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)),sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2))) )
| ~ spl31_469
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4867]) ).
fof(f46137,plain,
( spl31_1543
| ~ spl31_469
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7367,f6947,f4866,f46135]) ).
fof(f46135,plain,
( spl31_1543
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| r3_lattices(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1543])]) ).
fof(f7367,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| r3_lattices(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))),sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2))))) )
| ~ spl31_469
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4867]) ).
fof(f46065,plain,
( spl31_234
| spl31_1542
| ~ spl31_469
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7314,f6943,f4866,f46063,f1979]) ).
fof(f46063,plain,
( spl31_1542
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| r3_lattices(sK2,sK12(X0,sK3(k1_filter_2(sK2))),sK12(X0,sK3(k1_filter_2(sK2))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1542])]) ).
fof(f7314,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| r3_lattices(sK2,sK12(X0,sK3(k1_filter_2(sK2))),sK12(X0,sK3(k1_filter_2(sK2)))) )
| ~ spl31_469
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4867]) ).
fof(f46060,plain,
( spl31_1541
| ~ spl31_469
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7262,f6939,f4866,f46058]) ).
fof(f46058,plain,
( spl31_1541
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| r3_lattices(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1541])]) ).
fof(f7262,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| r3_lattices(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0),sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0)) )
| ~ spl31_469
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4867]) ).
fof(f45988,plain,
( spl31_234
| spl31_1540
| ~ spl31_469
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7209,f6930,f4866,f45986,f1979]) ).
fof(f45986,plain,
( spl31_1540
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| r3_lattices(sK2,sK12(sK3(k1_filter_2(sK2)),X0),sK12(sK3(k1_filter_2(sK2)),X0))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1540])]) ).
fof(f7209,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| r3_lattices(sK2,sK12(sK3(k1_filter_2(sK2)),X0),sK12(sK3(k1_filter_2(sK2)),X0)) )
| ~ spl31_469
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4867]) ).
fof(f45984,plain,
( spl31_1539
| ~ spl31_497
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6088,f5857,f5080,f45982]) ).
fof(f45982,plain,
( spl31_1539
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1539])]) ).
fof(f6088,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_497
| ~ spl31_540 ),
inference(resolution,[],[f5858,f5081]) ).
fof(f45980,plain,
( spl31_1538
| ~ spl31_483
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6087,f5857,f4979,f45978]) ).
fof(f45978,plain,
( spl31_1538
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1538])]) ).
fof(f6087,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_483
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4980]) ).
fof(f45976,plain,
( spl31_1537
| ~ spl31_482
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6086,f5857,f4967,f45974]) ).
fof(f45974,plain,
( spl31_1537
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1537])]) ).
fof(f6086,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_482
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4968]) ).
fof(f45972,plain,
( spl31_1536
| ~ spl31_497
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6039,f5849,f5080,f45970]) ).
fof(f45970,plain,
( spl31_1536
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1536])]) ).
fof(f6039,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_497
| ~ spl31_538 ),
inference(resolution,[],[f5850,f5081]) ).
fof(f45968,plain,
( spl31_1535
| ~ spl31_483
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6038,f5849,f4979,f45966]) ).
fof(f45966,plain,
( spl31_1535
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1535])]) ).
fof(f6038,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_483
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4980]) ).
fof(f45964,plain,
( spl31_1534
| ~ spl31_482
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6037,f5849,f4967,f45962]) ).
fof(f45962,plain,
( spl31_1534
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1534])]) ).
fof(f6037,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_482
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4968]) ).
fof(f45960,plain,
( spl31_1533
| ~ spl31_468
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5031,f5022,f4857,f45958]) ).
fof(f45958,plain,
( spl31_1533
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK16(X0,sK2,X1)) = k2_filter_0(sK2,sK16(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1533])]) ).
fof(f5031,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK16(X0,sK2,X1)) = k2_filter_0(sK2,sK16(X0,sK2,X1)) )
| ~ spl31_468
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4858]) ).
fof(f45956,plain,
( spl31_1532
| ~ spl31_467
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5030,f5022,f4848,f45954]) ).
fof(f45954,plain,
( spl31_1532
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK16(X0,sK2,X1)) = a_2_0_filter_2(sK2,sK16(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1532])]) ).
fof(f5030,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK16(X0,sK2,X1)) = a_2_0_filter_2(sK2,sK16(X0,sK2,X1)) )
| ~ spl31_467
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4849]) ).
fof(f45952,plain,
( spl31_1531
| ~ spl31_466
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5029,f5022,f4839,f45950]) ).
fof(f45950,plain,
( spl31_1531
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_0(sK2,sK16(X0,sK2,X1)) = a_2_0_filter_0(sK2,sK16(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1531])]) ).
fof(f5029,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_0(sK2,sK16(X0,sK2,X1)) = a_2_0_filter_0(sK2,sK16(X0,sK2,X1)) )
| ~ spl31_466
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4840]) ).
fof(f45948,plain,
( spl31_1530
| ~ spl31_468
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5016,f5007,f4857,f45946]) ).
fof(f45946,plain,
( spl31_1530
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK15(X0,sK2,X1)) = k2_filter_0(sK2,sK15(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1530])]) ).
fof(f5016,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_2(sK2,sK15(X0,sK2,X1)) = k2_filter_0(sK2,sK15(X0,sK2,X1)) )
| ~ spl31_468
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4858]) ).
fof(f45944,plain,
( spl31_1529
| ~ spl31_467
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5015,f5007,f4848,f45942]) ).
fof(f45942,plain,
( spl31_1529
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK15(X0,sK2,X1)) = a_2_0_filter_2(sK2,sK15(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1529])]) ).
fof(f5015,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k18_filter_2(sK2,sK15(X0,sK2,X1)) = a_2_0_filter_2(sK2,sK15(X0,sK2,X1)) )
| ~ spl31_467
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4849]) ).
fof(f45940,plain,
( spl31_1528
| ~ spl31_466
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5014,f5007,f4839,f45938]) ).
fof(f45938,plain,
( spl31_1528
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_0(sK2,sK15(X0,sK2,X1)) = a_2_0_filter_0(sK2,sK15(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1528])]) ).
fof(f5014,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| k2_filter_0(sK2,sK15(X0,sK2,X1)) = a_2_0_filter_0(sK2,sK15(X0,sK2,X1)) )
| ~ spl31_466
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4840]) ).
fof(f45849,plain,
( spl31_438
| ~ spl31_701
| ~ spl31_719
| ~ spl31_727
| ~ spl31_496
| spl31_1527
| ~ spl31_364
| ~ spl31_440 ),
inference(avatar_split_clause,[],[f4480,f4303,f3237,f45846,f5076,f8710,f8657,f8546,f4295]) ).
fof(f8546,plain,
( spl31_701
<=> v6_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_701])]) ).
fof(f8657,plain,
( spl31_719
<=> v8_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_719])]) ).
fof(f8710,plain,
( spl31_727
<=> v9_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_727])]) ).
fof(f45846,plain,
( spl31_1527
<=> r3_lattices(k1_lattice2(sK2),k6_lattices(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1527])]) ).
fof(f3237,plain,
( spl31_364
<=> ! [X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_364])]) ).
fof(f4303,plain,
( spl31_440
<=> m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_440])]) ).
fof(f4480,plain,
( r3_lattices(k1_lattice2(sK2),k6_lattices(sK2),k6_lattices(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v9_lattices(k1_lattice2(sK2))
| ~ v8_lattices(k1_lattice2(sK2))
| ~ v6_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_364
| ~ spl31_440 ),
inference(resolution,[],[f4305,f3238]) ).
fof(f3238,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| r3_lattices(X0,X1,X1)
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_364 ),
inference(avatar_component_clause,[],[f3237]) ).
fof(f4305,plain,
( m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_440 ),
inference(avatar_component_clause,[],[f4303]) ).
fof(f45316,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1526
| ~ spl31_315
| ~ spl31_159
| ~ spl31_481
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42231,f41523,f39522,f39234,f13557,f4960,f1408,f2662,f45313,f5076,f5072,f4295]) ).
fof(f45313,plain,
( spl31_1526
<=> m2_filter_2(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1526])]) ).
fof(f4960,plain,
( spl31_481
<=> k2_filter_0(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_481])]) ).
fof(f42231,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| m2_filter_2(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_481
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40511,f41563]) ).
fof(f40511,plain,
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m2_filter_2(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_481
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40510,f39526]) ).
fof(f40510,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m2_filter_2(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_481
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4965,f39236]) ).
fof(f4965,plain,
( m2_filter_2(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_481 ),
inference(superposition,[],[f1409,f4962]) ).
fof(f4962,plain,
( k2_filter_0(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_481 ),
inference(avatar_component_clause,[],[f4960]) ).
fof(f45305,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1525
| ~ spl31_315
| ~ spl31_333
| ~ spl31_481
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42230,f41523,f39522,f39234,f13557,f4960,f2830,f2662,f45302,f5076,f5072,f4295]) ).
fof(f45302,plain,
( spl31_1525
<=> m2_lattice4(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1525])]) ).
fof(f42230,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| m2_lattice4(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_481
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40509,f41563]) ).
fof(f40509,plain,
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m2_lattice4(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_481
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40508,f39526]) ).
fof(f40508,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m2_lattice4(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_481
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4964,f39236]) ).
fof(f4964,plain,
( m2_lattice4(k2_filter_0(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_333
| ~ spl31_481 ),
inference(superposition,[],[f2831,f4962]) ).
fof(f45298,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1524
| ~ spl31_358
| ~ spl31_159
| ~ spl31_479
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42229,f41523,f39522,f39234,f13557,f4938,f1408,f3129,f45295,f5076,f5072,f4295]) ).
fof(f45295,plain,
( spl31_1524
<=> m2_filter_2(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1524])]) ).
fof(f4938,plain,
( spl31_479
<=> k2_filter_0(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_479])]) ).
fof(f42229,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| m2_filter_2(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_479
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40507,f41563]) ).
fof(f40507,plain,
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m2_filter_2(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_479
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40506,f39526]) ).
fof(f40506,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m2_filter_2(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_479
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4951,f39236]) ).
fof(f4951,plain,
( m2_filter_2(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_159
| ~ spl31_479 ),
inference(superposition,[],[f1409,f4940]) ).
fof(f4940,plain,
( k2_filter_0(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_479 ),
inference(avatar_component_clause,[],[f4938]) ).
fof(f45287,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1523
| ~ spl31_358
| ~ spl31_333
| ~ spl31_479
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42228,f41523,f39522,f39234,f13557,f4938,f2830,f3129,f45284,f5076,f5072,f4295]) ).
fof(f45284,plain,
( spl31_1523
<=> m2_lattice4(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1523])]) ).
fof(f42228,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| m2_lattice4(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_479
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40505,f41563]) ).
fof(f40505,plain,
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m2_lattice4(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_479
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40504,f39526]) ).
fof(f40504,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m2_lattice4(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_333
| ~ spl31_479
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4950,f39236]) ).
fof(f4950,plain,
( m2_lattice4(k2_filter_0(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_333
| ~ spl31_479 ),
inference(superposition,[],[f2831,f4940]) ).
fof(f45279,plain,
( spl31_1522
| ~ spl31_1469
| ~ spl31_1521 ),
inference(avatar_split_clause,[],[f45274,f45270,f43787,f45276]) ).
fof(f45276,plain,
( spl31_1522
<=> m1_filter_2(k1_filter_2(sK2),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1522])]) ).
fof(f45270,plain,
( spl31_1521
<=> m1_filter_2(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1521])]) ).
fof(f45274,plain,
( m1_filter_2(k1_filter_2(sK2),k1_lattice2(sK2))
| ~ spl31_1469
| ~ spl31_1521 ),
inference(forward_demodulation,[],[f45272,f43789]) ).
fof(f45272,plain,
( m1_filter_2(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ spl31_1521 ),
inference(avatar_component_clause,[],[f45270]) ).
fof(f45273,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1521
| ~ spl31_315
| ~ spl31_160
| ~ spl31_475
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42225,f41523,f39522,f39234,f13557,f4909,f1412,f2662,f45270,f5076,f5072,f4295]) ).
fof(f1412,plain,
( spl31_160
<=> ! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_160])]) ).
fof(f42225,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| m1_filter_2(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_160
| ~ spl31_475
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40499,f41563]) ).
fof(f40499,plain,
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m1_filter_2(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_160
| ~ spl31_475
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40498,f39526]) ).
fof(f40498,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m1_filter_2(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_160
| ~ spl31_475
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4915,f39236]) ).
fof(f4915,plain,
( m1_filter_2(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_160
| ~ spl31_475 ),
inference(superposition,[],[f1413,f4911]) ).
fof(f1413,plain,
( ! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_160 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f45262,plain,
( spl31_1520
| ~ spl31_1469
| ~ spl31_1519 ),
inference(avatar_split_clause,[],[f45257,f45253,f43787,f45259]) ).
fof(f45259,plain,
( spl31_1520
<=> m2_lattice4(k1_filter_2(sK2),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1520])]) ).
fof(f45253,plain,
( spl31_1519
<=> m2_lattice4(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1519])]) ).
fof(f45257,plain,
( m2_lattice4(k1_filter_2(sK2),k1_lattice2(sK2))
| ~ spl31_1469
| ~ spl31_1519 ),
inference(forward_demodulation,[],[f45255,f43789]) ).
fof(f45255,plain,
( m2_lattice4(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ spl31_1519 ),
inference(avatar_component_clause,[],[f45253]) ).
fof(f45256,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1519
| ~ spl31_315
| ~ spl31_334
| ~ spl31_475
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42224,f41523,f39522,f39234,f13557,f4909,f2834,f2662,f45253,f5076,f5072,f4295]) ).
fof(f42224,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| m2_lattice4(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_475
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40497,f41563]) ).
fof(f40497,plain,
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m2_lattice4(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_475
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40496,f39526]) ).
fof(f40496,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m2_lattice4(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_475
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4914,f39236]) ).
fof(f4914,plain,
( m2_lattice4(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_334
| ~ spl31_475 ),
inference(superposition,[],[f2835,f4911]) ).
fof(f45243,plain,
( spl31_1518
| ~ spl31_1469
| ~ spl31_1517 ),
inference(avatar_split_clause,[],[f45238,f45234,f43787,f45240]) ).
fof(f45240,plain,
( spl31_1518
<=> m1_filter_0(k1_filter_2(sK2),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1518])]) ).
fof(f45234,plain,
( spl31_1517
<=> m1_filter_0(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1517])]) ).
fof(f45238,plain,
( m1_filter_0(k1_filter_2(sK2),k1_lattice2(sK2))
| ~ spl31_1469
| ~ spl31_1517 ),
inference(forward_demodulation,[],[f45236,f43789]) ).
fof(f45236,plain,
( m1_filter_0(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ spl31_1517 ),
inference(avatar_component_clause,[],[f45234]) ).
fof(f45237,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1517
| ~ spl31_315
| ~ spl31_335
| ~ spl31_475
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42223,f41523,f39522,f39234,f13557,f4909,f2838,f2662,f45234,f5076,f5072,f4295]) ).
fof(f42223,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| m1_filter_0(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_475
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40495,f41563]) ).
fof(f40495,plain,
( ~ m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m1_filter_0(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_475
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40494,f39526]) ).
fof(f40494,plain,
( ~ m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m1_filter_0(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_475
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4913,f39236]) ).
fof(f4913,plain,
( m1_filter_0(k18_filter_2(sK2,k6_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_335
| ~ spl31_475 ),
inference(superposition,[],[f2839,f4911]) ).
fof(f45226,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1516
| ~ spl31_358
| ~ spl31_334
| ~ spl31_473
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42221,f41523,f39522,f39234,f13557,f4895,f2834,f3129,f45223,f5076,f5072,f4295]) ).
fof(f45223,plain,
( spl31_1516
<=> m2_lattice4(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1516])]) ).
fof(f4895,plain,
( spl31_473
<=> k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_473])]) ).
fof(f42221,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| m2_lattice4(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_473
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40491,f41563]) ).
fof(f40491,plain,
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m2_lattice4(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_473
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40490,f39526]) ).
fof(f40490,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m2_lattice4(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_334
| ~ spl31_473
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4900,f39236]) ).
fof(f4900,plain,
( m2_lattice4(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_334
| ~ spl31_473 ),
inference(superposition,[],[f2835,f4897]) ).
fof(f4897,plain,
( k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_473 ),
inference(avatar_component_clause,[],[f4895]) ).
fof(f45213,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1515
| ~ spl31_358
| ~ spl31_335
| ~ spl31_473
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f42220,f41523,f39522,f39234,f13557,f4895,f2838,f3129,f45210,f5076,f5072,f4295]) ).
fof(f45210,plain,
( spl31_1515
<=> m1_filter_0(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1515])]) ).
fof(f42220,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| m1_filter_0(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_473
| ~ spl31_891
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f40489,f41563]) ).
fof(f40489,plain,
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| m1_filter_0(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_473
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40488,f39526]) ).
fof(f40488,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| m1_filter_0(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_335
| ~ spl31_473
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f4899,f39236]) ).
fof(f4899,plain,
( m1_filter_0(k18_filter_2(sK2,k5_lattices(sK2)),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_335
| ~ spl31_473 ),
inference(superposition,[],[f2839,f4897]) ).
fof(f45205,plain,
( ~ spl31_3
| spl31_987
| spl31_1
| ~ spl31_2
| ~ spl31_1514
| ~ spl31_358
| ~ spl31_204
| ~ spl31_213
| ~ spl31_446
| ~ spl31_763 ),
inference(avatar_split_clause,[],[f10753,f10205,f4489,f1854,f1756,f3129,f45202,f532,f527,f16640,f537]) ).
fof(f16640,plain,
( spl31_987
<=> v1_xboole_0(u1_struct_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_987])]) ).
fof(f45202,plain,
( spl31_1514
<=> r2_hidden(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1514])]) ).
fof(f4489,plain,
( spl31_446
<=> k5_lattices(sK2) = k5_filter_2(sK2,k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_446])]) ).
fof(f10205,plain,
( spl31_763
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(u1_struct_0(k1_lattice2(X0)),k5_filter_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_763])]) ).
fof(f10753,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| ~ r2_hidden(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ spl31_204
| ~ spl31_213
| ~ spl31_446
| ~ spl31_763 ),
inference(forward_demodulation,[],[f10752,f1856]) ).
fof(f10752,plain,
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| ~ r2_hidden(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ spl31_204
| ~ spl31_446
| ~ spl31_763 ),
inference(forward_demodulation,[],[f10744,f1758]) ).
fof(f10744,plain,
( ~ r2_hidden(u1_struct_0(k1_lattice2(sK2)),k5_lattices(sK2))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_446
| ~ spl31_763 ),
inference(superposition,[],[f10206,f4491]) ).
fof(f4491,plain,
( k5_lattices(sK2) = k5_filter_2(sK2,k5_lattices(sK2))
| ~ spl31_446 ),
inference(avatar_component_clause,[],[f4489]) ).
fof(f10206,plain,
( ! [X0,X1] :
( ~ r2_hidden(u1_struct_0(k1_lattice2(X0)),k5_filter_2(X0,X1))
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0) )
| ~ spl31_763 ),
inference(avatar_component_clause,[],[f10205]) ).
fof(f45200,plain,
( spl31_1513
| ~ spl31_460
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6669,f6364,f4792,f45198]) ).
fof(f45198,plain,
( spl31_1513
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| sK12(k1_filter_2(sK2),X0) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1513])]) ).
fof(f6669,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| sK12(k1_filter_2(sK2),X0) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_460
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4793]) ).
fof(f45196,plain,
( spl31_1512
| ~ spl31_460
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6620,f6364,f4792,f45194]) ).
fof(f45194,plain,
( spl31_1512
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| sK12(X0,k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1512])]) ).
fof(f6620,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| sK12(X0,k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_460
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4793]) ).
fof(f45192,plain,
( spl31_438
| ~ spl31_495
| spl31_1494
| ~ spl31_353
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5271,f5076,f3051,f44518,f5072,f4295]) ).
fof(f44518,plain,
( spl31_1494
<=> k2_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1494])]) ).
fof(f3051,plain,
( spl31_353
<=> ! [X0] :
( k2_filter_0(X0,sK10(u1_struct_0(X0))) = k2_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_353])]) ).
fof(f5271,plain,
( k2_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_353
| ~ spl31_496 ),
inference(resolution,[],[f5077,f3052]) ).
fof(f3052,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k2_filter_0(X0,sK10(u1_struct_0(X0))) = k2_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_353 ),
inference(avatar_component_clause,[],[f3051]) ).
fof(f45191,plain,
( spl31_438
| ~ spl31_495
| spl31_1493
| ~ spl31_349
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5270,f5076,f3033,f44509,f5072,f4295]) ).
fof(f44509,plain,
( spl31_1493
<=> k18_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1493])]) ).
fof(f3033,plain,
( spl31_349
<=> ! [X0] :
( k18_filter_2(X0,sK10(u1_struct_0(X0))) = a_2_0_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_349])]) ).
fof(f5270,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_349
| ~ spl31_496 ),
inference(resolution,[],[f5077,f3034]) ).
fof(f3034,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k18_filter_2(X0,sK10(u1_struct_0(X0))) = a_2_0_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_349 ),
inference(avatar_component_clause,[],[f3033]) ).
fof(f45190,plain,
( spl31_438
| ~ spl31_495
| spl31_1492
| ~ spl31_346
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5269,f5076,f3021,f44500,f5072,f4295]) ).
fof(f44500,plain,
( spl31_1492
<=> k2_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = a_2_0_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1492])]) ).
fof(f3021,plain,
( spl31_346
<=> ! [X0] :
( k2_filter_0(X0,sK10(u1_struct_0(X0))) = a_2_0_filter_0(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_346])]) ).
fof(f5269,plain,
( k2_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = a_2_0_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_346
| ~ spl31_496 ),
inference(resolution,[],[f5077,f3022]) ).
fof(f3022,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k2_filter_0(X0,sK10(u1_struct_0(X0))) = a_2_0_filter_0(X0,sK10(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_346 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f45189,plain,
( spl31_1511
| ~ spl31_309
| ~ spl31_460 ),
inference(avatar_split_clause,[],[f4799,f4792,f2572,f45187]) ).
fof(f45187,plain,
( spl31_1511
<=> ! [X0] :
( sK12(k1_filter_2(sK2),X0) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1511])]) ).
fof(f4799,plain,
( ! [X0] :
( sK12(k1_filter_2(sK2),X0) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_460 ),
inference(resolution,[],[f4793,f2573]) ).
fof(f45185,plain,
( spl31_1510
| ~ spl31_307
| ~ spl31_460 ),
inference(avatar_split_clause,[],[f4798,f4792,f2564,f45183]) ).
fof(f45183,plain,
( spl31_1510
<=> ! [X0] :
( sK12(X0,k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1510])]) ).
fof(f4798,plain,
( ! [X0] :
( sK12(X0,k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_460 ),
inference(resolution,[],[f4793,f2565]) ).
fof(f45105,plain,
( spl31_234
| spl31_1509
| ~ spl31_169
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4556,f4549,f1502,f45103,f1979]) ).
fof(f45103,plain,
( spl31_1509
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| r1_filter_2(k1_filter_2(sK2),X0,X1)
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1509])]) ).
fof(f1502,plain,
( spl31_169
<=> ! [X2,X0,X1] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_169])]) ).
fof(f4549,plain,
( spl31_452
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| ~ m2_lattice4(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_452])]) ).
fof(f4556,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0)
| r1_filter_2(k1_filter_2(sK2),X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_169
| ~ spl31_452 ),
inference(resolution,[],[f4550,f1503]) ).
fof(f1503,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2)
| r1_filter_2(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_169 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f4550,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| ~ m2_lattice4(X0,sK2) )
| ~ spl31_452 ),
inference(avatar_component_clause,[],[f4549]) ).
fof(f45025,plain,
( spl31_234
| spl31_1508
| ~ spl31_169
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4542,f4535,f1502,f45023,f1979]) ).
fof(f45023,plain,
( spl31_1508
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| r1_filter_2(k1_filter_2(sK2),X0,X1)
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1508])]) ).
fof(f4535,plain,
( spl31_451
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| ~ m1_filter_0(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_451])]) ).
fof(f4542,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0)
| r1_filter_2(k1_filter_2(sK2),X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_169
| ~ spl31_451 ),
inference(resolution,[],[f4536,f1503]) ).
fof(f4536,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| ~ m1_filter_0(X0,sK2) )
| ~ spl31_451 ),
inference(avatar_component_clause,[],[f4535]) ).
fof(f45018,plain,
( spl31_987
| spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1507
| ~ spl31_358
| ~ spl31_204
| ~ spl31_213
| ~ spl31_373
| ~ spl31_446 ),
inference(avatar_split_clause,[],[f4496,f4489,f3395,f1854,f1756,f3129,f45015,f537,f532,f527,f16640]) ).
fof(f45015,plain,
( spl31_1507
<=> r2_hidden(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1507])]) ).
fof(f3395,plain,
( spl31_373
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| r2_hidden(k5_filter_2(X1,X0),u1_struct_0(k1_lattice2(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_373])]) ).
fof(f4496,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| r2_hidden(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_204
| ~ spl31_213
| ~ spl31_373
| ~ spl31_446 ),
inference(forward_demodulation,[],[f4495,f1856]) ).
fof(f4495,plain,
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| r2_hidden(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_204
| ~ spl31_373
| ~ spl31_446 ),
inference(forward_demodulation,[],[f4493,f1758]) ).
fof(f4493,plain,
( r2_hidden(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ spl31_373
| ~ spl31_446 ),
inference(superposition,[],[f3396,f4491]) ).
fof(f3396,plain,
( ! [X0,X1] :
( r2_hidden(k5_filter_2(X1,X0),u1_struct_0(k1_lattice2(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X0,u1_struct_0(X1)) )
| ~ spl31_373 ),
inference(avatar_component_clause,[],[f3395]) ).
fof(f45013,plain,
( ~ spl31_1506
| ~ spl31_514
| ~ spl31_801 ),
inference(avatar_split_clause,[],[f11365,f11362,f5645,f45010]) ).
fof(f45010,plain,
( spl31_1506
<=> v1_xboole_0(k2_filter_0(sK26,k6_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1506])]) ).
fof(f11362,plain,
( spl31_801
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ v1_xboole_0(k2_filter_0(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_801])]) ).
fof(f11365,plain,
( ~ v1_xboole_0(k2_filter_0(sK26,k6_lattices(sK26)))
| ~ spl31_514
| ~ spl31_801 ),
inference(resolution,[],[f11363,f5647]) ).
fof(f11363,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ v1_xboole_0(k2_filter_0(sK26,X0)) )
| ~ spl31_801 ),
inference(avatar_component_clause,[],[f11362]) ).
fof(f45008,plain,
( ~ spl31_1505
| spl31_1350
| ~ spl31_1437 ),
inference(avatar_split_clause,[],[f43741,f43184,f39921,f45005]) ).
fof(f45005,plain,
( spl31_1505
<=> u1_lattices(sK2) = u2_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1505])]) ).
fof(f39921,plain,
( spl31_1350
<=> u2_lattices(sK21) = u2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1350])]) ).
fof(f43184,plain,
( spl31_1437
<=> u1_lattices(sK2) = u2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1437])]) ).
fof(f43741,plain,
( u1_lattices(sK2) != u2_lattices(sK21)
| spl31_1350
| ~ spl31_1437 ),
inference(superposition,[],[f39922,f43186]) ).
fof(f43186,plain,
( u1_lattices(sK2) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_1437 ),
inference(avatar_component_clause,[],[f43184]) ).
fof(f39922,plain,
( u2_lattices(sK21) != u2_lattices(k1_lattice2(sK2))
| spl31_1350 ),
inference(avatar_component_clause,[],[f39921]) ).
fof(f45002,plain,
( ~ spl31_1504
| ~ spl31_514
| ~ spl31_800 ),
inference(avatar_split_clause,[],[f11328,f11325,f5645,f44999]) ).
fof(f44999,plain,
( spl31_1504
<=> v1_xboole_0(k2_filter_2(sK26,k6_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1504])]) ).
fof(f11328,plain,
( ~ v1_xboole_0(k2_filter_2(sK26,k6_lattices(sK26)))
| ~ spl31_514
| ~ spl31_800 ),
inference(resolution,[],[f11326,f5647]) ).
fof(f44997,plain,
( ~ spl31_1503
| ~ spl31_516
| ~ spl31_799 ),
inference(avatar_split_clause,[],[f11294,f11290,f5657,f44994]) ).
fof(f44994,plain,
( spl31_1503
<=> v1_xboole_0(k18_filter_2(sK26,k5_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1503])]) ).
fof(f11294,plain,
( ~ v1_xboole_0(k18_filter_2(sK26,k5_lattices(sK26)))
| ~ spl31_516
| ~ spl31_799 ),
inference(resolution,[],[f11291,f5659]) ).
fof(f44992,plain,
( ~ spl31_1502
| ~ spl31_514
| ~ spl31_799 ),
inference(avatar_split_clause,[],[f11293,f11290,f5645,f44989]) ).
fof(f44989,plain,
( spl31_1502
<=> v1_xboole_0(k18_filter_2(sK26,k6_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1502])]) ).
fof(f11293,plain,
( ~ v1_xboole_0(k18_filter_2(sK26,k6_lattices(sK26)))
| ~ spl31_514
| ~ spl31_799 ),
inference(resolution,[],[f11291,f5647]) ).
fof(f44987,plain,
( ~ spl31_1501
| ~ spl31_511
| ~ spl31_628 ),
inference(avatar_split_clause,[],[f7003,f6999,f5628,f44984]) ).
fof(f44984,plain,
( spl31_1501
<=> v1_xboole_0(k2_filter_0(sK25,k5_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1501])]) ).
fof(f7003,plain,
( ~ v1_xboole_0(k2_filter_0(sK25,k5_lattices(sK25)))
| ~ spl31_511
| ~ spl31_628 ),
inference(resolution,[],[f7000,f5630]) ).
fof(f44982,plain,
( ~ spl31_1500
| ~ spl31_509
| ~ spl31_628 ),
inference(avatar_split_clause,[],[f7002,f6999,f5616,f44979]) ).
fof(f44979,plain,
( spl31_1500
<=> v1_xboole_0(k2_filter_0(sK25,k6_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1500])]) ).
fof(f7002,plain,
( ~ v1_xboole_0(k2_filter_0(sK25,k6_lattices(sK25)))
| ~ spl31_509
| ~ spl31_628 ),
inference(resolution,[],[f7000,f5618]) ).
fof(f44976,plain,
( ~ spl31_1499
| ~ spl31_511
| ~ spl31_626 ),
inference(avatar_split_clause,[],[f6982,f6978,f5628,f44973]) ).
fof(f44973,plain,
( spl31_1499
<=> v1_xboole_0(k2_filter_2(sK25,k5_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1499])]) ).
fof(f6982,plain,
( ~ v1_xboole_0(k2_filter_2(sK25,k5_lattices(sK25)))
| ~ spl31_511
| ~ spl31_626 ),
inference(resolution,[],[f6979,f5630]) ).
fof(f44970,plain,
( ~ spl31_1498
| ~ spl31_509
| ~ spl31_626 ),
inference(avatar_split_clause,[],[f6981,f6978,f5616,f44967]) ).
fof(f44967,plain,
( spl31_1498
<=> v1_xboole_0(k2_filter_2(sK25,k6_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1498])]) ).
fof(f6981,plain,
( ~ v1_xboole_0(k2_filter_2(sK25,k6_lattices(sK25)))
| ~ spl31_509
| ~ spl31_626 ),
inference(resolution,[],[f6979,f5618]) ).
fof(f44965,plain,
( ~ spl31_1497
| ~ spl31_511
| ~ spl31_625 ),
inference(avatar_split_clause,[],[f6967,f6963,f5628,f44962]) ).
fof(f44962,plain,
( spl31_1497
<=> v1_xboole_0(k18_filter_2(sK25,k5_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1497])]) ).
fof(f6967,plain,
( ~ v1_xboole_0(k18_filter_2(sK25,k5_lattices(sK25)))
| ~ spl31_511
| ~ spl31_625 ),
inference(resolution,[],[f6964,f5630]) ).
fof(f44960,plain,
( ~ spl31_1496
| ~ spl31_509
| ~ spl31_625 ),
inference(avatar_split_clause,[],[f6966,f6963,f5616,f44957]) ).
fof(f44957,plain,
( spl31_1496
<=> v1_xboole_0(k18_filter_2(sK25,k6_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1496])]) ).
fof(f6966,plain,
( ~ v1_xboole_0(k18_filter_2(sK25,k6_lattices(sK25)))
| ~ spl31_509
| ~ spl31_625 ),
inference(resolution,[],[f6964,f5618]) ).
fof(f44887,plain,
( ~ spl31_1495
| spl31_1348
| ~ spl31_1437 ),
inference(avatar_split_clause,[],[f43740,f43184,f39912,f44884]) ).
fof(f44884,plain,
( spl31_1495
<=> u1_lattices(sK2) = u2_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1495])]) ).
fof(f39912,plain,
( spl31_1348
<=> u2_lattices(sK27) = u2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1348])]) ).
fof(f43740,plain,
( u1_lattices(sK2) != u2_lattices(sK27)
| spl31_1348
| ~ spl31_1437 ),
inference(superposition,[],[f39913,f43186]) ).
fof(f39913,plain,
( u2_lattices(sK27) != u2_lattices(k1_lattice2(sK2))
| spl31_1348 ),
inference(avatar_component_clause,[],[f39912]) ).
fof(f44521,plain,
( ~ spl31_3
| spl31_438
| spl31_1494
| ~ spl31_495
| ~ spl31_792 ),
inference(avatar_split_clause,[],[f12090,f11168,f5072,f44518,f4295,f537]) ).
fof(f11168,plain,
( spl31_792
<=> ! [X0] :
( k2_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k2_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_792])]) ).
fof(f12090,plain,
( k2_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = k2_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_495
| ~ spl31_792 ),
inference(resolution,[],[f11169,f5073]) ).
fof(f11169,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k2_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_792 ),
inference(avatar_component_clause,[],[f11168]) ).
fof(f44512,plain,
( ~ spl31_3
| spl31_438
| spl31_1493
| ~ spl31_495
| ~ spl31_791 ),
inference(avatar_split_clause,[],[f12088,f11164,f5072,f44509,f4295,f537]) ).
fof(f11164,plain,
( spl31_791
<=> ! [X0] :
( k18_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = a_2_0_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_791])]) ).
fof(f12088,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_495
| ~ spl31_791 ),
inference(resolution,[],[f11165,f5073]) ).
fof(f11165,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = a_2_0_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_791 ),
inference(avatar_component_clause,[],[f11164]) ).
fof(f44503,plain,
( ~ spl31_3
| spl31_438
| spl31_1492
| ~ spl31_495
| ~ spl31_790 ),
inference(avatar_split_clause,[],[f12086,f11160,f5072,f44500,f4295,f537]) ).
fof(f11160,plain,
( spl31_790
<=> ! [X0] :
( k2_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = a_2_0_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_790])]) ).
fof(f12086,plain,
( k2_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) = a_2_0_filter_0(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_495
| ~ spl31_790 ),
inference(resolution,[],[f11161,f5073]) ).
fof(f11161,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = a_2_0_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_790 ),
inference(avatar_component_clause,[],[f11160]) ).
fof(f44498,plain,
( spl31_1491
| ~ spl31_469
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6673,f6364,f4866,f44496]) ).
fof(f44496,plain,
( spl31_1491
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(k1_filter_2(sK2),X0),sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1491])]) ).
fof(f6673,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(k1_filter_2(sK2),X0),sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_469
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4867]) ).
fof(f44494,plain,
( spl31_1490
| ~ spl31_469
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6624,f6364,f4866,f44492]) ).
fof(f44492,plain,
( spl31_1490
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(X0,k1_filter_2(sK2)),sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1490])]) ).
fof(f6624,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(X0,k1_filter_2(sK2)),sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_469
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4867]) ).
fof(f44490,plain,
( ~ spl31_1489
| spl31_1346
| ~ spl31_1437 ),
inference(avatar_split_clause,[],[f43739,f43184,f39903,f44487]) ).
fof(f44487,plain,
( spl31_1489
<=> u1_lattices(sK2) = u2_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1489])]) ).
fof(f39903,plain,
( spl31_1346
<=> u2_lattices(sK24) = u2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1346])]) ).
fof(f43739,plain,
( u1_lattices(sK2) != u2_lattices(sK24)
| spl31_1346
| ~ spl31_1437 ),
inference(superposition,[],[f39904,f43186]) ).
fof(f39904,plain,
( u2_lattices(sK24) != u2_lattices(k1_lattice2(sK2))
| spl31_1346 ),
inference(avatar_component_clause,[],[f39903]) ).
fof(f44479,plain,
( spl31_1488
| spl31_1384
| spl31_234
| ~ spl31_468
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5968,f5824,f4857,f1979,f41597,f44476]) ).
fof(f5968,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_468
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4858]) ).
fof(f44292,plain,
( spl31_1487
| spl31_1384
| spl31_234
| ~ spl31_467
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5967,f5824,f4848,f1979,f41597,f44289]) ).
fof(f44289,plain,
( spl31_1487
<=> k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = a_2_0_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1487])]) ).
fof(f5967,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))) = a_2_0_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_467
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4849]) ).
fof(f44110,plain,
( spl31_1486
| spl31_1384
| spl31_234
| ~ spl31_466
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5966,f5824,f4839,f1979,f41597,f44107]) ).
fof(f44107,plain,
( spl31_1486
<=> k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) = a_2_0_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1486])]) ).
fof(f5966,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))) = a_2_0_filter_0(sK2,sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_466
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4840]) ).
fof(f44105,plain,
( ~ spl31_1485
| ~ spl31_1444
| spl31_1484 ),
inference(avatar_split_clause,[],[f44100,f44096,f43289,f44102]) ).
fof(f44102,plain,
( spl31_1485
<=> k2_filter_0(sK2,sK10(sK22)) = k2_filter_2(sK2,sK10(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1485])]) ).
fof(f44096,plain,
( spl31_1484
<=> k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1484])]) ).
fof(f44100,plain,
( k2_filter_0(sK2,sK10(sK22)) != k2_filter_2(sK2,sK10(sK22))
| ~ spl31_1444
| spl31_1484 ),
inference(forward_demodulation,[],[f44097,f43291]) ).
fof(f44097,plain,
( k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) != k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| spl31_1484 ),
inference(avatar_component_clause,[],[f44096]) ).
fof(f44099,plain,
( spl31_1484
| spl31_1367
| ~ spl31_468
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5919,f5759,f4857,f40419,f44096]) ).
fof(f5919,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| ~ spl31_468
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4858]) ).
fof(f44094,plain,
( ~ spl31_1483
| spl31_1332
| ~ spl31_1437 ),
inference(avatar_split_clause,[],[f43738,f43184,f39838,f44091]) ).
fof(f44091,plain,
( spl31_1483
<=> u1_lattices(sK2) = u2_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1483])]) ).
fof(f39838,plain,
( spl31_1332
<=> u2_lattices(sK2) = u2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1332])]) ).
fof(f43738,plain,
( u1_lattices(sK2) != u2_lattices(sK2)
| spl31_1332
| ~ spl31_1437 ),
inference(superposition,[],[f39839,f43186]) ).
fof(f39839,plain,
( u2_lattices(sK2) != u2_lattices(k1_lattice2(sK2))
| spl31_1332 ),
inference(avatar_component_clause,[],[f39838]) ).
fof(f44089,plain,
( ~ spl31_1482
| ~ spl31_1444
| spl31_1481 ),
inference(avatar_split_clause,[],[f44084,f44080,f43289,f44086]) ).
fof(f44086,plain,
( spl31_1482
<=> k18_filter_2(sK2,sK10(sK22)) = a_2_0_filter_2(sK2,sK10(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1482])]) ).
fof(f44080,plain,
( spl31_1481
<=> k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1481])]) ).
fof(f44084,plain,
( k18_filter_2(sK2,sK10(sK22)) != a_2_0_filter_2(sK2,sK10(sK22))
| ~ spl31_1444
| spl31_1481 ),
inference(forward_demodulation,[],[f44081,f43291]) ).
fof(f44081,plain,
( k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) != a_2_0_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| spl31_1481 ),
inference(avatar_component_clause,[],[f44080]) ).
fof(f44083,plain,
( spl31_1481
| spl31_1367
| ~ spl31_467
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5918,f5759,f4848,f40419,f44080]) ).
fof(f5918,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| ~ spl31_467
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4849]) ).
fof(f44078,plain,
( ~ spl31_1480
| ~ spl31_1444
| spl31_1479 ),
inference(avatar_split_clause,[],[f44073,f44069,f43289,f44075]) ).
fof(f44075,plain,
( spl31_1480
<=> k2_filter_0(sK2,sK10(sK22)) = a_2_0_filter_0(sK2,sK10(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1480])]) ).
fof(f44069,plain,
( spl31_1479
<=> k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1479])]) ).
fof(f44073,plain,
( k2_filter_0(sK2,sK10(sK22)) != a_2_0_filter_0(sK2,sK10(sK22))
| ~ spl31_1444
| spl31_1479 ),
inference(forward_demodulation,[],[f44070,f43291]) ).
fof(f44070,plain,
( k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) != a_2_0_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| spl31_1479 ),
inference(avatar_component_clause,[],[f44069]) ).
fof(f44072,plain,
( spl31_1479
| spl31_1367
| ~ spl31_466
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5917,f5759,f4839,f40419,f44069]) ).
fof(f5917,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) = a_2_0_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| ~ spl31_466
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4840]) ).
fof(f44067,plain,
( spl31_1478
| ~ spl31_460
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5028,f5022,f4792,f44065]) ).
fof(f44065,plain,
( spl31_1478
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| sK16(X0,sK2,X1) = k5_filter_2(sK2,sK16(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1478])]) ).
fof(f5028,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| sK16(X0,sK2,X1) = k5_filter_2(sK2,sK16(X0,sK2,X1)) )
| ~ spl31_460
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4793]) ).
fof(f44063,plain,
( spl31_1477
| ~ spl31_460
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5013,f5007,f4792,f44061]) ).
fof(f44061,plain,
( spl31_1477
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| sK15(X0,sK2,X1) = k5_filter_2(sK2,sK15(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1477])]) ).
fof(f5013,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| sK15(X0,sK2,X1) = k5_filter_2(sK2,sK15(X0,sK2,X1)) )
| ~ spl31_460
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4793]) ).
fof(f44059,plain,
( spl31_1476
| ~ spl31_309
| ~ spl31_469 ),
inference(avatar_split_clause,[],[f4873,f4866,f2572,f44057]) ).
fof(f44057,plain,
( spl31_1476
<=> ! [X0] :
( r3_lattices(sK2,sK12(k1_filter_2(sK2),X0),sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1476])]) ).
fof(f4873,plain,
( ! [X0] :
( r3_lattices(sK2,sK12(k1_filter_2(sK2),X0),sK12(k1_filter_2(sK2),X0))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_469 ),
inference(resolution,[],[f4867,f2573]) ).
fof(f44055,plain,
( spl31_1475
| ~ spl31_307
| ~ spl31_469 ),
inference(avatar_split_clause,[],[f4872,f4866,f2564,f44053]) ).
fof(f44053,plain,
( spl31_1475
<=> ! [X0] :
( r3_lattices(sK2,sK12(X0,k1_filter_2(sK2)),sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1475])]) ).
fof(f4872,plain,
( ! [X0] :
( r3_lattices(sK2,sK12(X0,k1_filter_2(sK2)),sK12(X0,k1_filter_2(sK2)))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_469 ),
inference(resolution,[],[f4867,f2565]) ).
fof(f44040,plain,
( ~ spl31_1474
| spl31_1320
| ~ spl31_1437 ),
inference(avatar_split_clause,[],[f43737,f43184,f39162,f44037]) ).
fof(f44037,plain,
( spl31_1474
<=> u1_lattices(sK2) = u1_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1474])]) ).
fof(f39162,plain,
( spl31_1320
<=> u1_lattices(sK27) = u2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1320])]) ).
fof(f43737,plain,
( u1_lattices(sK2) != u1_lattices(sK27)
| spl31_1320
| ~ spl31_1437 ),
inference(superposition,[],[f39163,f43186]) ).
fof(f39163,plain,
( u1_lattices(sK27) != u2_lattices(k1_lattice2(sK2))
| spl31_1320 ),
inference(avatar_component_clause,[],[f39162]) ).
fof(f44035,plain,
( spl31_234
| spl31_1473
| ~ spl31_357
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4560,f4549,f3067,f44033,f1979]) ).
fof(f44033,plain,
( spl31_1473
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| ~ r1_tarski(X1,k1_filter_2(sK2))
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| r1_filter_2(k1_filter_2(sK2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1473])]) ).
fof(f3067,plain,
( spl31_357
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(X0,X1,X2)
| r1_filter_2(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_357])]) ).
fof(f4560,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),X1,X0)
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| v1_xboole_0(k1_filter_2(sK2))
| ~ r1_tarski(X1,k1_filter_2(sK2)) )
| ~ spl31_357
| ~ spl31_452 ),
inference(resolution,[],[f4550,f3068]) ).
fof(f3068,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl31_357 ),
inference(avatar_component_clause,[],[f3067]) ).
fof(f44020,plain,
( spl31_234
| spl31_1472
| ~ spl31_357
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4546,f4535,f3067,f44018,f1979]) ).
fof(f44018,plain,
( spl31_1472
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| ~ r1_tarski(X1,k1_filter_2(sK2))
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| r1_filter_2(k1_filter_2(sK2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1472])]) ).
fof(f4546,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),X1,X0)
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| v1_xboole_0(k1_filter_2(sK2))
| ~ r1_tarski(X1,k1_filter_2(sK2)) )
| ~ spl31_357
| ~ spl31_451 ),
inference(resolution,[],[f4536,f3068]) ).
fof(f44012,plain,
( spl31_234
| spl31_1471
| ~ spl31_169
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3928,f3845,f1502,f44010,f1979]) ).
fof(f44010,plain,
( spl31_1471
<=> ! [X0] :
( ~ r1_filter_2(k1_filter_2(sK2),X0,sK4(sK2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| r1_filter_2(k1_filter_2(sK2),sK4(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1471])]) ).
fof(f3845,plain,
( spl31_404
<=> m1_subset_1(sK4(sK2),k1_zfmisc_1(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_404])]) ).
fof(f3928,plain,
( ! [X0] :
( ~ r1_filter_2(k1_filter_2(sK2),X0,sK4(sK2))
| r1_filter_2(k1_filter_2(sK2),sK4(sK2),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_169
| ~ spl31_404 ),
inference(resolution,[],[f3847,f1503]) ).
fof(f3847,plain,
( m1_subset_1(sK4(sK2),k1_zfmisc_1(k1_filter_2(sK2)))
| ~ spl31_404 ),
inference(avatar_component_clause,[],[f3845]) ).
fof(f43953,plain,
( ~ spl31_1470
| spl31_1318
| ~ spl31_1437 ),
inference(avatar_split_clause,[],[f43736,f43184,f39153,f43950]) ).
fof(f43950,plain,
( spl31_1470
<=> u1_lattices(sK2) = u1_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1470])]) ).
fof(f39153,plain,
( spl31_1318
<=> u1_lattices(sK24) = u2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1318])]) ).
fof(f43736,plain,
( u1_lattices(sK2) != u1_lattices(sK24)
| spl31_1318
| ~ spl31_1437 ),
inference(superposition,[],[f39154,f43186]) ).
fof(f39154,plain,
( u1_lattices(sK24) != u2_lattices(k1_lattice2(sK2))
| spl31_1318 ),
inference(avatar_component_clause,[],[f39153]) ).
fof(f43790,plain,
( spl31_1469
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1427
| ~ spl31_1468 ),
inference(avatar_split_clause,[],[f43785,f43780,f43101,f39522,f39234,f43787]) ).
fof(f43780,plain,
( spl31_1468
<=> k18_filter_2(sK2,k6_lattices(sK2)) = k1_filter_0(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1468])]) ).
fof(f43785,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k1_filter_2(sK2)
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1427
| ~ spl31_1468 ),
inference(forward_demodulation,[],[f43784,f43103]) ).
fof(f43784,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1468 ),
inference(forward_demodulation,[],[f43782,f39526]) ).
fof(f43782,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k1_filter_0(k1_lattice2(sK2))
| ~ spl31_1468 ),
inference(avatar_component_clause,[],[f43780]) ).
fof(f43783,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_438
| spl31_1468
| ~ spl31_209
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_495
| ~ spl31_500
| ~ spl31_849 ),
inference(avatar_split_clause,[],[f12550,f12308,f5446,f5072,f4909,f4500,f2662,f1831,f43780,f4295,f542,f537,f532,f527]) ).
fof(f542,plain,
( spl31_4
<=> v14_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_4])]) ).
fof(f1831,plain,
( spl31_209
<=> k6_lattices(sK2) = k5_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_209])]) ).
fof(f4500,plain,
( spl31_447
<=> k6_lattices(sK2) = k5_filter_2(sK2,k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_447])]) ).
fof(f12308,plain,
( spl31_849
<=> ! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_849])]) ).
fof(f12550,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k1_filter_0(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v14_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_209
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_495
| ~ spl31_500
| ~ spl31_849 ),
inference(forward_demodulation,[],[f12549,f5457]) ).
fof(f5457,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_0(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_500 ),
inference(forward_demodulation,[],[f5456,f4911]) ).
fof(f5456,plain,
( k2_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) = k2_filter_0(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_500 ),
inference(forward_demodulation,[],[f5449,f4502]) ).
fof(f4502,plain,
( k6_lattices(sK2) = k5_filter_2(sK2,k6_lattices(sK2))
| ~ spl31_447 ),
inference(avatar_component_clause,[],[f4500]) ).
fof(f5449,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_500 ),
inference(resolution,[],[f5447,f2664]) ).
fof(f2664,plain,
( m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_315 ),
inference(avatar_component_clause,[],[f2662]) ).
fof(f12549,plain,
( k2_filter_0(k1_lattice2(sK2),k6_lattices(sK2)) = k1_filter_0(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v14_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_209
| ~ spl31_495
| ~ spl31_849 ),
inference(forward_demodulation,[],[f12548,f1833]) ).
fof(f1833,plain,
( k6_lattices(sK2) = k5_lattices(k1_lattice2(sK2))
| ~ spl31_209 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f12548,plain,
( k2_filter_0(k1_lattice2(sK2),k5_lattices(k1_lattice2(sK2))) = k1_filter_0(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v14_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_495
| ~ spl31_849 ),
inference(resolution,[],[f12309,f5073]) ).
fof(f12309,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_849 ),
inference(avatar_component_clause,[],[f12308]) ).
fof(f43778,plain,
( spl31_1467
| ~ spl31_468
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6084,f5857,f4857,f43776]) ).
fof(f43776,plain,
( spl31_1467
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1467])]) ).
fof(f6084,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_468
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4858]) ).
fof(f43774,plain,
( spl31_1466
| ~ spl31_467
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6083,f5857,f4848,f43772]) ).
fof(f43772,plain,
( spl31_1466
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1466])]) ).
fof(f6083,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_467
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4849]) ).
fof(f43770,plain,
( spl31_1465
| ~ spl31_466
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6082,f5857,f4839,f43768]) ).
fof(f43768,plain,
( spl31_1465
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1465])]) ).
fof(f6082,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_466
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4840]) ).
fof(f43766,plain,
( spl31_1464
| ~ spl31_468
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6035,f5849,f4857,f43764]) ).
fof(f43764,plain,
( spl31_1464
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1464])]) ).
fof(f6035,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_468
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4858]) ).
fof(f43734,plain,
( spl31_1463
| ~ spl31_467
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6034,f5849,f4848,f43732]) ).
fof(f43732,plain,
( spl31_1463
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1463])]) ).
fof(f6034,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_467
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4849]) ).
fof(f43730,plain,
( spl31_1462
| ~ spl31_466
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6033,f5849,f4839,f43728]) ).
fof(f43728,plain,
( spl31_1462
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1462])]) ).
fof(f6033,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) = a_2_0_filter_0(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_466
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4840]) ).
fof(f43718,plain,
( spl31_234
| spl31_1461
| ~ spl31_101
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5035,f5022,f1013,f43716,f1979]) ).
fof(f43716,plain,
( spl31_1461
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| r2_hidden(sK16(X0,sK2,X1),k1_filter_2(sK2))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1461])]) ).
fof(f1013,plain,
( spl31_101
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_101])]) ).
fof(f5035,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| v1_xboole_0(k1_filter_2(sK2))
| r2_hidden(sK16(X0,sK2,X1),k1_filter_2(sK2)) )
| ~ spl31_101
| ~ spl31_488 ),
inference(resolution,[],[f5023,f1014]) ).
fof(f1014,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl31_101 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f43714,plain,
( spl31_1460
| ~ spl31_469
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5032,f5022,f4866,f43712]) ).
fof(f43712,plain,
( spl31_1460
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r3_lattices(sK2,sK16(X0,sK2,X1),sK16(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1460])]) ).
fof(f5032,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r3_lattices(sK2,sK16(X0,sK2,X1),sK16(X0,sK2,X1)) )
| ~ spl31_469
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4867]) ).
fof(f43702,plain,
( spl31_234
| spl31_1459
| ~ spl31_101
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5020,f5007,f1013,f43700,f1979]) ).
fof(f43700,plain,
( spl31_1459
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| r2_hidden(sK15(X0,sK2,X1),k1_filter_2(sK2))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1459])]) ).
fof(f5020,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| v1_xboole_0(k1_filter_2(sK2))
| r2_hidden(sK15(X0,sK2,X1),k1_filter_2(sK2)) )
| ~ spl31_101
| ~ spl31_487 ),
inference(resolution,[],[f5008,f1014]) ).
fof(f43698,plain,
( spl31_1458
| ~ spl31_469
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5017,f5007,f4866,f43696]) ).
fof(f43696,plain,
( spl31_1458
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r3_lattices(sK2,sK15(X0,sK2,X1),sK15(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1458])]) ).
fof(f5017,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r3_lattices(sK2,sK15(X0,sK2,X1),sK15(X0,sK2,X1)) )
| ~ spl31_469
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4867]) ).
fof(f43618,plain,
( spl31_234
| spl31_1457
| ~ spl31_167
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4555,f4549,f1461,f43616,f1979]) ).
fof(f43616,plain,
( spl31_1457
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| X0 = X1
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1457])]) ).
fof(f1461,plain,
( spl31_167
<=> ! [X2,X0,X1] :
( X1 = X2
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_167])]) ).
fof(f4555,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0)
| X0 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_167
| ~ spl31_452 ),
inference(resolution,[],[f4550,f1462]) ).
fof(f1462,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_167 ),
inference(avatar_component_clause,[],[f1461]) ).
fof(f43538,plain,
( spl31_234
| spl31_1456
| ~ spl31_167
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4541,f4535,f1461,f43536,f1979]) ).
fof(f43536,plain,
( spl31_1456
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| X0 = X1
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1456])]) ).
fof(f4541,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X1,X0)
| X0 = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_2(sK2)))
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_167
| ~ spl31_451 ),
inference(resolution,[],[f4536,f1462]) ).
fof(f43519,plain,
( ~ spl31_65
| spl31_1455 ),
inference(avatar_contradiction_clause,[],[f43518]) ).
fof(f43518,plain,
( $false
| ~ spl31_65
| spl31_1455 ),
inference(resolution,[],[f43513,f833]) ).
fof(f43513,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_2(sK2))
| spl31_1455 ),
inference(avatar_component_clause,[],[f43511]) ).
fof(f43514,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1454
| ~ spl31_1455
| ~ spl31_166
| ~ spl31_204
| ~ spl31_213
| ~ spl31_441 ),
inference(avatar_split_clause,[],[f4317,f4309,f1854,f1756,f1457,f43511,f43507,f537,f532,f527]) ).
fof(f43507,plain,
( spl31_1454
<=> m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1454])]) ).
fof(f1457,plain,
( spl31_166
<=> ! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_166])]) ).
fof(f4309,plain,
( spl31_441
<=> sK10(k1_filter_2(sK2)) = k5_filter_2(sK2,sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_441])]) ).
fof(f4317,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k1_filter_2(sK2))
| m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_166
| ~ spl31_204
| ~ spl31_213
| ~ spl31_441 ),
inference(forward_demodulation,[],[f4316,f1856]) ).
fof(f4316,plain,
( ~ m1_subset_1(sK10(k1_filter_2(sK2)),k17_filter_2(sK2))
| m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_166
| ~ spl31_204
| ~ spl31_441 ),
inference(forward_demodulation,[],[f4314,f1758]) ).
fof(f4314,plain,
( m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(sK10(k1_filter_2(sK2)),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_166
| ~ spl31_441 ),
inference(superposition,[],[f1458,f4311]) ).
fof(f4311,plain,
( sK10(k1_filter_2(sK2)) = k5_filter_2(sK2,sK10(k1_filter_2(sK2)))
| ~ spl31_441 ),
inference(avatar_component_clause,[],[f4309]) ).
fof(f1458,plain,
( ! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f43500,plain,
( spl31_234
| spl31_1453
| ~ spl31_357
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3932,f3845,f3067,f43498,f1979]) ).
fof(f43498,plain,
( spl31_1453
<=> ! [X0] :
( r1_filter_2(k1_filter_2(sK2),X0,sK4(sK2))
| ~ r1_tarski(X0,k1_filter_2(sK2))
| ~ r1_filter_2(k1_filter_2(sK2),sK4(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1453])]) ).
fof(f3932,plain,
( ! [X0] :
( r1_filter_2(k1_filter_2(sK2),X0,sK4(sK2))
| ~ r1_filter_2(k1_filter_2(sK2),sK4(sK2),X0)
| v1_xboole_0(k1_filter_2(sK2))
| ~ r1_tarski(X0,k1_filter_2(sK2)) )
| ~ spl31_357
| ~ spl31_404 ),
inference(resolution,[],[f3847,f3068]) ).
fof(f43460,plain,
( spl31_234
| spl31_1452
| ~ spl31_450
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7309,f6943,f4526,f43458,f1979]) ).
fof(f43458,plain,
( spl31_1452
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1452])]) ).
fof(f7309,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_450
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4527]) ).
fof(f43456,plain,
( ~ spl31_1451
| spl31_1376
| ~ spl31_1427 ),
inference(avatar_split_clause,[],[f43419,f43101,f40466,f43453]) ).
fof(f43453,plain,
( spl31_1451
<=> sK22 = k1_filter_2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1451])]) ).
fof(f40466,plain,
( spl31_1376
<=> sK22 = k17_filter_2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1376])]) ).
fof(f43419,plain,
( sK22 != k1_filter_2(sK2)
| spl31_1376
| ~ spl31_1427 ),
inference(superposition,[],[f40467,f43103]) ).
fof(f40467,plain,
( sK22 != k17_filter_2(k1_lattice2(sK2))
| spl31_1376 ),
inference(avatar_component_clause,[],[f40466]) ).
fof(f43451,plain,
( spl31_234
| spl31_1450
| ~ spl31_449
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7308,f6943,f4516,f43449,f1979]) ).
fof(f43449,plain,
( spl31_1450
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1450])]) ).
fof(f7308,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_449
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4517]) ).
fof(f43447,plain,
( spl31_234
| spl31_1449
| ~ spl31_448
| ~ spl31_620 ),
inference(avatar_split_clause,[],[f7307,f6943,f4507,f43445,f1979]) ).
fof(f43445,plain,
( spl31_1449
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2)))))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1449])]) ).
fof(f7307,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK3(k1_filter_2(sK2))))) )
| ~ spl31_448
| ~ spl31_620 ),
inference(resolution,[],[f6944,f4508]) ).
fof(f43443,plain,
( spl31_234
| spl31_1448
| ~ spl31_450
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7204,f6930,f4526,f43441,f1979]) ).
fof(f43441,plain,
( spl31_1448
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1448])]) ).
fof(f7204,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_450
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4527]) ).
fof(f43439,plain,
( spl31_234
| spl31_1447
| ~ spl31_449
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7203,f6930,f4516,f43437,f1979]) ).
fof(f43437,plain,
( spl31_1447
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1447])]) ).
fof(f7203,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_449
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4517]) ).
fof(f43435,plain,
( spl31_234
| spl31_1446
| ~ spl31_448
| ~ spl31_617 ),
inference(avatar_split_clause,[],[f7202,f6930,f4507,f43433,f1979]) ).
fof(f43433,plain,
( spl31_1446
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0)))
| sK3(k1_filter_2(sK2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1446])]) ).
fof(f7202,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3(k1_filter_2(sK2)) = X0
| v1_xboole_0(k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK3(k1_filter_2(sK2)),X0))) )
| ~ spl31_448
| ~ spl31_617 ),
inference(resolution,[],[f6931,f4508]) ).
fof(f43410,plain,
( spl31_1445
| spl31_1367
| ~ spl31_460
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5916,f5759,f4792,f40419,f43407]) ).
fof(f43407,plain,
( spl31_1445
<=> sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))) = k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1445])]) ).
fof(f5916,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))) = k5_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| ~ spl31_460
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4793]) ).
fof(f43292,plain,
( spl31_1444
| ~ spl31_218
| ~ spl31_1367 ),
inference(avatar_split_clause,[],[f41899,f40419,f1881,f43289]) ).
fof(f1881,plain,
( spl31_218
<=> ! [X0] :
( sK22 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_218])]) ).
fof(f41899,plain,
( sK22 = sK10(k1_zfmisc_1(k1_filter_2(sK2)))
| ~ spl31_218
| ~ spl31_1367 ),
inference(resolution,[],[f40421,f1882]) ).
fof(f1882,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK22 = X0 )
| ~ spl31_218 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f40421,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| ~ spl31_1367 ),
inference(avatar_component_clause,[],[f40419]) ).
fof(f43287,plain,
( spl31_1443
| spl31_1384
| spl31_234
| ~ spl31_460
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5965,f5824,f4792,f1979,f41597,f43284]) ).
fof(f5965,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| sK10(sK3(k1_filter_2(sK2))) = k5_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_460
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4793]) ).
fof(f43282,plain,
( spl31_1442
| ~ spl31_339
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5268,f5076,f2939,f43279]) ).
fof(f43279,plain,
( spl31_1442
<=> k1_lattice2(k1_lattice2(k1_lattice2(sK2))) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(sK2))),u1_lattices(k1_lattice2(k1_lattice2(sK2))),u2_lattices(k1_lattice2(k1_lattice2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1442])]) ).
fof(f2939,plain,
( spl31_339
<=> ! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_339])]) ).
fof(f5268,plain,
( k1_lattice2(k1_lattice2(k1_lattice2(sK2))) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(sK2))),u1_lattices(k1_lattice2(k1_lattice2(sK2))),u2_lattices(k1_lattice2(k1_lattice2(sK2))))
| ~ spl31_339
| ~ spl31_496 ),
inference(resolution,[],[f5077,f2940]) ).
fof(f2940,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))) )
| ~ spl31_339 ),
inference(avatar_component_clause,[],[f2939]) ).
fof(f43277,plain,
( spl31_438
| ~ spl31_495
| spl31_1434
| ~ spl31_330
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5267,f5076,f2818,f43137,f5072,f4295]) ).
fof(f43137,plain,
( spl31_1434
<=> sK10(u1_struct_0(k1_lattice2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1434])]) ).
fof(f2818,plain,
( spl31_330
<=> ! [X0] :
( sK10(u1_struct_0(X0)) = k5_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_330])]) ).
fof(f5267,plain,
( sK10(u1_struct_0(k1_lattice2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_330
| ~ spl31_496 ),
inference(resolution,[],[f5077,f2819]) ).
fof(f2819,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| sK10(u1_struct_0(X0)) = k5_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_330 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f43265,plain,
( spl31_234
| spl31_1441
| ~ spl31_342
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4559,f4549,f2951,f43263,f1979]) ).
fof(f43263,plain,
( spl31_1441
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| ~ r1_tarski(X1,k1_filter_2(sK2))
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1441])]) ).
fof(f2951,plain,
( spl31_342
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_342])]) ).
fof(f4559,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| X0 = X1
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| v1_xboole_0(k1_filter_2(sK2))
| ~ r1_tarski(X1,k1_filter_2(sK2)) )
| ~ spl31_342
| ~ spl31_452 ),
inference(resolution,[],[f4550,f2952]) ).
fof(f2952,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| X1 = X2
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl31_342 ),
inference(avatar_component_clause,[],[f2951]) ).
fof(f43250,plain,
( spl31_234
| spl31_1440
| ~ spl31_342
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4545,f4535,f2951,f43248,f1979]) ).
fof(f43248,plain,
( spl31_1440
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| ~ r1_tarski(X1,k1_filter_2(sK2))
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1440])]) ).
fof(f4545,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| X0 = X1
| ~ r1_filter_2(k1_filter_2(sK2),X0,X1)
| v1_xboole_0(k1_filter_2(sK2))
| ~ r1_tarski(X1,k1_filter_2(sK2)) )
| ~ spl31_342
| ~ spl31_451 ),
inference(resolution,[],[f4536,f2952]) ).
fof(f43242,plain,
( spl31_234
| spl31_1439
| ~ spl31_167
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3927,f3845,f1461,f43240,f1979]) ).
fof(f43240,plain,
( spl31_1439
<=> ! [X0] :
( ~ r1_filter_2(k1_filter_2(sK2),X0,sK4(sK2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| sK4(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1439])]) ).
fof(f3927,plain,
( ! [X0] :
( ~ r1_filter_2(k1_filter_2(sK2),X0,sK4(sK2))
| sK4(sK2) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_167
| ~ spl31_404 ),
inference(resolution,[],[f3847,f1462]) ).
fof(f43192,plain,
( spl31_1438
| ~ spl31_653
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f41565,f41523,f7720,f43189]) ).
fof(f43189,plain,
( spl31_1438
<=> u2_lattices(sK2) = u1_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1438])]) ).
fof(f7720,plain,
( spl31_653
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u2_lattices(sK2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_653])]) ).
fof(f41565,plain,
( u2_lattices(sK2) = u1_lattices(k1_lattice2(sK2))
| ~ spl31_653
| ~ spl31_1378 ),
inference(trivial_inequality_removal,[],[f41533]) ).
fof(f41533,plain,
( k1_lattice2(sK2) != k1_lattice2(sK2)
| u2_lattices(sK2) = u1_lattices(k1_lattice2(sK2))
| ~ spl31_653
| ~ spl31_1378 ),
inference(superposition,[],[f7721,f41525]) ).
fof(f7721,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u2_lattices(sK2) = X2 )
| ~ spl31_653 ),
inference(avatar_component_clause,[],[f7720]) ).
fof(f43187,plain,
( spl31_1437
| ~ spl31_890
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f41564,f41523,f13537,f43184]) ).
fof(f13537,plain,
( spl31_890
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_lattices(sK2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_890])]) ).
fof(f41564,plain,
( u1_lattices(sK2) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_890
| ~ spl31_1378 ),
inference(trivial_inequality_removal,[],[f41534]) ).
fof(f41534,plain,
( k1_lattice2(sK2) != k1_lattice2(sK2)
| u1_lattices(sK2) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_890
| ~ spl31_1378 ),
inference(superposition,[],[f13538,f41525]) ).
fof(f13538,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_lattices(sK2) = X1 )
| ~ spl31_890 ),
inference(avatar_component_clause,[],[f13537]) ).
fof(f43153,plain,
( spl31_1436
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1434 ),
inference(avatar_split_clause,[],[f43142,f43137,f39522,f39234,f43150]) ).
fof(f43150,plain,
( spl31_1436
<=> sK10(k17_filter_2(k1_lattice2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(k17_filter_2(k1_lattice2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1436])]) ).
fof(f43142,plain,
( sK10(k17_filter_2(k1_lattice2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(k17_filter_2(k1_lattice2(sK2))))
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1434 ),
inference(forward_demodulation,[],[f43141,f39526]) ).
fof(f43141,plain,
( sK10(k1_filter_0(k1_lattice2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_0(k1_lattice2(sK2))))
| ~ spl31_1326
| ~ spl31_1434 ),
inference(forward_demodulation,[],[f43139,f39236]) ).
fof(f43139,plain,
( sK10(u1_struct_0(k1_lattice2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| ~ spl31_1434 ),
inference(avatar_component_clause,[],[f43137]) ).
fof(f43148,plain,
( spl31_1435
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1376
| ~ spl31_1434 ),
inference(avatar_split_clause,[],[f43143,f43137,f40466,f39522,f39234,f43145]) ).
fof(f43145,plain,
( spl31_1435
<=> sK10(sK22) = k5_filter_2(k1_lattice2(sK2),sK10(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1435])]) ).
fof(f43143,plain,
( sK10(sK22) = k5_filter_2(k1_lattice2(sK2),sK10(sK22))
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1376
| ~ spl31_1434 ),
inference(forward_demodulation,[],[f43142,f40468]) ).
fof(f40468,plain,
( sK22 = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_1376 ),
inference(avatar_component_clause,[],[f40466]) ).
fof(f43140,plain,
( ~ spl31_3
| spl31_438
| spl31_1434
| ~ spl31_495
| ~ spl31_748 ),
inference(avatar_split_clause,[],[f10115,f10057,f5072,f43137,f4295,f537]) ).
fof(f10057,plain,
( spl31_748
<=> ! [X0] :
( sK10(u1_struct_0(k1_lattice2(X0))) = k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_748])]) ).
fof(f10115,plain,
( sK10(u1_struct_0(k1_lattice2(sK2))) = k5_filter_2(k1_lattice2(sK2),sK10(u1_struct_0(k1_lattice2(sK2))))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_495
| ~ spl31_748 ),
inference(resolution,[],[f10058,f5073]) ).
fof(f10058,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| sK10(u1_struct_0(k1_lattice2(X0))) = k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_748 ),
inference(avatar_component_clause,[],[f10057]) ).
fof(f43135,plain,
( spl31_1433
| ~ spl31_496
| ~ spl31_675 ),
inference(avatar_split_clause,[],[f8225,f8165,f5076,f43132]) ).
fof(f43132,plain,
( spl31_1433
<=> k1_lattice2(k1_lattice2(sK2)) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(sK2))),u2_lattices(k1_lattice2(k1_lattice2(sK2))),u1_lattices(k1_lattice2(k1_lattice2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1433])]) ).
fof(f8165,plain,
( spl31_675
<=> ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_675])]) ).
fof(f8225,plain,
( k1_lattice2(k1_lattice2(sK2)) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(sK2))),u2_lattices(k1_lattice2(k1_lattice2(sK2))),u1_lattices(k1_lattice2(k1_lattice2(sK2))))
| ~ spl31_496
| ~ spl31_675 ),
inference(resolution,[],[f8166,f5077]) ).
fof(f8166,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) )
| ~ spl31_675 ),
inference(avatar_component_clause,[],[f8165]) ).
fof(f43129,plain,
( spl31_1432
| ~ spl31_450
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7466,f6955,f4526,f43127]) ).
fof(f43127,plain,
( spl31_1432
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1432])]) ).
fof(f7466,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) )
| ~ spl31_450
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4527]) ).
fof(f43124,plain,
( spl31_1431
| ~ spl31_449
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7465,f6955,f4516,f43122]) ).
fof(f43122,plain,
( spl31_1431
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1431])]) ).
fof(f7465,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) )
| ~ spl31_449
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4517]) ).
fof(f43119,plain,
( spl31_1430
| ~ spl31_448
| ~ spl31_623 ),
inference(avatar_split_clause,[],[f7464,f6955,f4507,f43117]) ).
fof(f43117,plain,
( spl31_1430
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1430])]) ).
fof(f7464,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),sK10(k1_zfmisc_1(X0))))) )
| ~ spl31_448
| ~ spl31_623 ),
inference(resolution,[],[f6956,f4508]) ).
fof(f43114,plain,
( spl31_1429
| ~ spl31_450
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7414,f6951,f4526,f43112]) ).
fof(f43112,plain,
( spl31_1429
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1429])]) ).
fof(f7414,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) )
| ~ spl31_450
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4527]) ).
fof(f43109,plain,
( spl31_1428
| ~ spl31_449
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7413,f6951,f4516,f43107]) ).
fof(f43107,plain,
( spl31_1428
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1428])]) ).
fof(f7413,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) )
| ~ spl31_449
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4517]) ).
fof(f43104,plain,
( spl31_1427
| ~ spl31_891
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f41563,f41523,f13557,f43101]) ).
fof(f43099,plain,
( spl31_1426
| ~ spl31_448
| ~ spl31_622 ),
inference(avatar_split_clause,[],[f7412,f6951,f4507,f43097]) ).
fof(f43097,plain,
( spl31_1426
<=> ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1426])]) ).
fof(f7412,plain,
( ! [X0] :
( sK10(k1_zfmisc_1(X0)) = k1_filter_2(sK2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(X0)),k1_filter_2(sK2)))) )
| ~ spl31_448
| ~ spl31_622 ),
inference(resolution,[],[f6952,f4508]) ).
fof(f43094,plain,
( spl31_1425
| ~ spl31_450
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7362,f6947,f4526,f43092]) ).
fof(f43092,plain,
( spl31_1425
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1425])]) ).
fof(f7362,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_450
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4527]) ).
fof(f43089,plain,
( spl31_1424
| ~ spl31_449
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7361,f6947,f4516,f43087]) ).
fof(f43087,plain,
( spl31_1424
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1424])]) ).
fof(f7361,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_449
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4517]) ).
fof(f43084,plain,
( spl31_1423
| ~ spl31_448
| ~ spl31_621 ),
inference(avatar_split_clause,[],[f7360,f6947,f4507,f43082]) ).
fof(f43082,plain,
( spl31_1423
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1423])]) ).
fof(f7360,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,sK10(k1_zfmisc_1(k1_filter_2(sK2)))))) )
| ~ spl31_448
| ~ spl31_621 ),
inference(resolution,[],[f6948,f4508]) ).
fof(f43079,plain,
( spl31_1422
| ~ spl31_450
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7257,f6939,f4526,f43077]) ).
fof(f43077,plain,
( spl31_1422
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1422])]) ).
fof(f7257,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_450
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4527]) ).
fof(f43074,plain,
( spl31_1421
| ~ spl31_449
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7256,f6939,f4516,f43072]) ).
fof(f43072,plain,
( spl31_1421
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1421])]) ).
fof(f7256,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_449
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4517]) ).
fof(f43069,plain,
( spl31_1420
| ~ spl31_448
| ~ spl31_619 ),
inference(avatar_split_clause,[],[f7255,f6939,f4507,f43067]) ).
fof(f43067,plain,
( spl31_1420
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1420])]) ).
fof(f7255,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK10(k1_zfmisc_1(k1_filter_2(sK2))) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(sK10(k1_zfmisc_1(k1_filter_2(sK2))),X0))) )
| ~ spl31_448
| ~ spl31_619 ),
inference(resolution,[],[f6940,f4508]) ).
fof(f43065,plain,
( spl31_1419
| ~ spl31_450
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6668,f6364,f4526,f43063]) ).
fof(f43063,plain,
( spl31_1419
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1419])]) ).
fof(f6668,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_450
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4527]) ).
fof(f42993,plain,
( spl31_234
| ~ spl31_67
| ~ spl31_1384 ),
inference(avatar_split_clause,[],[f42958,f41597,f859,f1979]) ).
fof(f859,plain,
( spl31_67
<=> ! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_67])]) ).
fof(f42958,plain,
( v1_xboole_0(k1_filter_2(sK2))
| ~ spl31_67
| ~ spl31_1384 ),
inference(resolution,[],[f41599,f860]) ).
fof(f860,plain,
( ! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) )
| ~ spl31_67 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f41599,plain,
( v1_xboole_0(sK3(k1_filter_2(sK2)))
| ~ spl31_1384 ),
inference(avatar_component_clause,[],[f41597]) ).
fof(f42992,plain,
( spl31_1418
| ~ spl31_449
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6667,f6364,f4516,f42990]) ).
fof(f42990,plain,
( spl31_1418
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1418])]) ).
fof(f6667,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_449
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4517]) ).
fof(f42988,plain,
( spl31_1417
| ~ spl31_448
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6666,f6364,f4507,f42986]) ).
fof(f42986,plain,
( spl31_1417
<=> ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1417])]) ).
fof(f6666,plain,
( ! [X0] :
( m1_subset_1(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_448
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4508]) ).
fof(f42984,plain,
( spl31_1416
| ~ spl31_450
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6619,f6364,f4526,f42982]) ).
fof(f42982,plain,
( spl31_1416
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1416])]) ).
fof(f6619,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_450
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4527]) ).
fof(f42980,plain,
( spl31_1415
| ~ spl31_449
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6618,f6364,f4516,f42978]) ).
fof(f42978,plain,
( spl31_1415
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1415])]) ).
fof(f6618,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_449
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4517]) ).
fof(f42976,plain,
( spl31_1414
| ~ spl31_448
| ~ spl31_578 ),
inference(avatar_split_clause,[],[f6617,f6364,f4507,f42974]) ).
fof(f42974,plain,
( spl31_1414
<=> ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1414])]) ).
fof(f6617,plain,
( ! [X0] :
( m1_subset_1(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_448
| ~ spl31_578 ),
inference(resolution,[],[f6365,f4508]) ).
fof(f42972,plain,
( spl31_1413
| ~ spl31_460
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6081,f5857,f4792,f42970]) ).
fof(f42970,plain,
( spl31_1413
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| sK12(X0,k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1413])]) ).
fof(f6081,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| sK12(X0,k1_filter_2(sK2)) = k5_filter_2(sK2,sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_460
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4793]) ).
fof(f42968,plain,
( spl31_1412
| ~ spl31_460
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6032,f5849,f4792,f42966]) ).
fof(f42966,plain,
( spl31_1412
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| sK12(k1_filter_2(sK2),X0) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1412])]) ).
fof(f6032,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| sK12(k1_filter_2(sK2),X0) = k5_filter_2(sK2,sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_460
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4793]) ).
fof(f42957,plain,
( spl31_1411
| spl31_1384
| spl31_234
| ~ spl31_469
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5969,f5824,f4866,f1979,f41597,f42954]) ).
fof(f42954,plain,
( spl31_1411
<=> r3_lattices(sK2,sK10(sK3(k1_filter_2(sK2))),sK10(sK3(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1411])]) ).
fof(f5969,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| r3_lattices(sK2,sK10(sK3(k1_filter_2(sK2))),sK10(sK3(k1_filter_2(sK2))))
| ~ spl31_469
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4867]) ).
fof(f42939,plain,
( spl31_234
| spl31_1410
| ~ spl31_342
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3931,f3845,f2951,f42937,f1979]) ).
fof(f42937,plain,
( spl31_1410
<=> ! [X0] :
( sK4(sK2) = X0
| ~ r1_tarski(X0,k1_filter_2(sK2))
| ~ r1_filter_2(k1_filter_2(sK2),sK4(sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1410])]) ).
fof(f3931,plain,
( ! [X0] :
( sK4(sK2) = X0
| ~ r1_filter_2(k1_filter_2(sK2),sK4(sK2),X0)
| v1_xboole_0(k1_filter_2(sK2))
| ~ r1_tarski(X0,k1_filter_2(sK2)) )
| ~ spl31_342
| ~ spl31_404 ),
inference(resolution,[],[f3847,f2952]) ).
fof(f41904,plain,
( spl31_234
| ~ spl31_891
| ~ spl31_1345
| ~ spl31_1378 ),
inference(avatar_split_clause,[],[f41845,f41523,f39898,f13557,f1979]) ).
fof(f39898,plain,
( spl31_1345
<=> v1_xboole_0(k17_filter_2(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1345])]) ).
fof(f41845,plain,
( v1_xboole_0(k1_filter_2(sK2))
| ~ spl31_891
| ~ spl31_1345
| ~ spl31_1378 ),
inference(forward_demodulation,[],[f39899,f41563]) ).
fof(f39899,plain,
( v1_xboole_0(k17_filter_2(k1_lattice2(sK2)))
| ~ spl31_1345 ),
inference(avatar_component_clause,[],[f39898]) ).
fof(f41897,plain,
( spl31_1409
| spl31_1367
| ~ spl31_469
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5920,f5759,f4866,f40419,f41894]) ).
fof(f5920,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| r3_lattices(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))),sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2)))))
| ~ spl31_469
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4867]) ).
fof(f41892,plain,
( spl31_1408
| ~ spl31_309
| ~ spl31_450 ),
inference(avatar_split_clause,[],[f4533,f4526,f2572,f41890]) ).
fof(f41890,plain,
( spl31_1408
<=> ! [X0] :
( ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1408])]) ).
fof(f4533,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_450 ),
inference(resolution,[],[f4527,f2573]) ).
fof(f41888,plain,
( spl31_1407
| ~ spl31_307
| ~ spl31_450 ),
inference(avatar_split_clause,[],[f4532,f4526,f2564,f41886]) ).
fof(f41886,plain,
( spl31_1407
<=> ! [X0] :
( ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1407])]) ).
fof(f4532,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_450 ),
inference(resolution,[],[f4527,f2565]) ).
fof(f41884,plain,
( spl31_1406
| ~ spl31_309
| ~ spl31_449 ),
inference(avatar_split_clause,[],[f4523,f4516,f2572,f41882]) ).
fof(f41882,plain,
( spl31_1406
<=> ! [X0] :
( ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1406])]) ).
fof(f4523,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_449 ),
inference(resolution,[],[f4517,f2573]) ).
fof(f41880,plain,
( spl31_1405
| ~ spl31_307
| ~ spl31_449 ),
inference(avatar_split_clause,[],[f4522,f4516,f2564,f41878]) ).
fof(f41878,plain,
( spl31_1405
<=> ! [X0] :
( ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1405])]) ).
fof(f4522,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_449 ),
inference(resolution,[],[f4517,f2565]) ).
fof(f41876,plain,
( spl31_1404
| ~ spl31_309
| ~ spl31_448 ),
inference(avatar_split_clause,[],[f4514,f4507,f2572,f41874]) ).
fof(f41874,plain,
( spl31_1404
<=> ! [X0] :
( ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1404])]) ).
fof(f4514,plain,
( ! [X0] :
( ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0)))
| r2_hidden(sK12(k1_filter_2(sK2),X0),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_309
| ~ spl31_448 ),
inference(resolution,[],[f4508,f2573]) ).
fof(f41872,plain,
( spl31_1403
| ~ spl31_307
| ~ spl31_448 ),
inference(avatar_split_clause,[],[f4513,f4507,f2564,f41870]) ).
fof(f41870,plain,
( spl31_1403
<=> ! [X0] :
( ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1403])]) ).
fof(f4513,plain,
( ! [X0] :
( ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2))))
| r2_hidden(sK12(X0,k1_filter_2(sK2)),X0)
| k1_filter_2(sK2) = X0 )
| ~ spl31_307
| ~ spl31_448 ),
inference(resolution,[],[f4508,f2565]) ).
fof(f41865,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_1402
| ~ spl31_358
| ~ spl31_166
| ~ spl31_204
| ~ spl31_213
| ~ spl31_446 ),
inference(avatar_split_clause,[],[f4498,f4489,f1854,f1756,f1457,f3129,f41862,f537,f532,f527]) ).
fof(f41862,plain,
( spl31_1402
<=> m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1402])]) ).
fof(f4498,plain,
( ~ m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_166
| ~ spl31_204
| ~ spl31_213
| ~ spl31_446 ),
inference(forward_demodulation,[],[f4497,f1856]) ).
fof(f4497,plain,
( ~ m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_166
| ~ spl31_204
| ~ spl31_446 ),
inference(forward_demodulation,[],[f4494,f1758]) ).
fof(f4494,plain,
( m1_subset_1(k5_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ m1_subset_1(k5_lattices(sK2),u1_struct_0(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_166
| ~ spl31_446 ),
inference(superposition,[],[f1458,f4491]) ).
fof(f41835,plain,
( spl31_1401
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1358 ),
inference(avatar_split_clause,[],[f41496,f40324,f39522,f39234,f41832]) ).
fof(f41832,plain,
( spl31_1401
<=> r2_hidden(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1401])]) ).
fof(f40324,plain,
( spl31_1358
<=> r2_hidden(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1358])]) ).
fof(f41496,plain,
( r2_hidden(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1358 ),
inference(forward_demodulation,[],[f40326,f39526]) ).
fof(f40326,plain,
( r2_hidden(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| ~ spl31_1358 ),
inference(avatar_component_clause,[],[f40324]) ).
fof(f41681,plain,
( spl31_1400
| ~ spl31_440
| ~ spl31_1327 ),
inference(avatar_split_clause,[],[f39527,f39522,f4303,f41678]) ).
fof(f41678,plain,
( spl31_1400
<=> m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1400])]) ).
fof(f39527,plain,
( m1_subset_1(k6_lattices(sK2),k17_filter_2(k1_lattice2(sK2)))
| ~ spl31_440
| ~ spl31_1327 ),
inference(superposition,[],[f4305,f39524]) ).
fof(f41676,plain,
( spl31_1399
| ~ spl31_469
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6085,f5857,f4866,f41674]) ).
fof(f41674,plain,
( spl31_1399
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(X0,k1_filter_2(sK2)),sK12(X0,k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1399])]) ).
fof(f6085,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(X0,k1_filter_2(sK2)),sK12(X0,k1_filter_2(sK2))) )
| ~ spl31_469
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4867]) ).
fof(f41672,plain,
( spl31_1398
| ~ spl31_469
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6036,f5849,f4866,f41670]) ).
fof(f41670,plain,
( spl31_1398
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(k1_filter_2(sK2),X0),sK12(k1_filter_2(sK2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1398])]) ).
fof(f6036,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| r3_lattices(sK2,sK12(k1_filter_2(sK2),X0),sK12(k1_filter_2(sK2),X0)) )
| ~ spl31_469
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4867]) ).
fof(f41668,plain,
( spl31_1397
| ~ spl31_487
| ~ spl31_505 ),
inference(avatar_split_clause,[],[f5568,f5564,f5007,f41666]) ).
fof(f41666,plain,
( spl31_1397
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r1_lattices(sK2,X1,sK15(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1397])]) ).
fof(f5564,plain,
( spl31_505
<=> ! [X0,X1] :
( ~ m1_subset_1(sK15(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r1_lattices(sK2,X1,sK15(X0,sK2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_505])]) ).
fof(f5568,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r1_lattices(sK2,X1,sK15(X0,sK2,X1)) )
| ~ spl31_487
| ~ spl31_505 ),
inference(duplicate_literal_removal,[],[f5567]) ).
fof(f5567,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r1_lattices(sK2,X1,sK15(X0,sK2,X1))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_487
| ~ spl31_505 ),
inference(resolution,[],[f5565,f5008]) ).
fof(f5565,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK15(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r1_lattices(sK2,X1,sK15(X0,sK2,X1)) )
| ~ spl31_505 ),
inference(avatar_component_clause,[],[f5564]) ).
fof(f41664,plain,
( spl31_1396
| ~ spl31_488
| ~ spl31_504 ),
inference(avatar_split_clause,[],[f5562,f5558,f5022,f41662]) ).
fof(f41662,plain,
( spl31_1396
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| r1_lattices(sK2,sK16(X0,sK2,X1),X1)
| ~ m1_subset_1(X1,k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1396])]) ).
fof(f5558,plain,
( spl31_504
<=> ! [X0,X1] :
( ~ m1_subset_1(sK16(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| r1_lattices(sK2,sK16(X0,sK2,X1),X1)
| ~ m1_subset_1(X1,k1_filter_2(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_504])]) ).
fof(f5562,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| r1_lattices(sK2,sK16(X0,sK2,X1),X1)
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_488
| ~ spl31_504 ),
inference(duplicate_literal_removal,[],[f5561]) ).
fof(f5561,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| r1_lattices(sK2,sK16(X0,sK2,X1),X1)
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_488
| ~ spl31_504 ),
inference(resolution,[],[f5559,f5023]) ).
fof(f5559,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK16(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| r1_lattices(sK2,sK16(X0,sK2,X1),X1)
| ~ m1_subset_1(X1,k1_filter_2(sK2)) )
| ~ spl31_504 ),
inference(avatar_component_clause,[],[f5558]) ).
fof(f41660,plain,
( spl31_1395
| ~ spl31_450
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5027,f5022,f4526,f41658]) ).
fof(f41658,plain,
( spl31_1395
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK16(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1395])]) ).
fof(f5027,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK16(X0,sK2,X1))) )
| ~ spl31_450
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4527]) ).
fof(f41656,plain,
( spl31_1394
| ~ spl31_449
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5026,f5022,f4516,f41654]) ).
fof(f41654,plain,
( spl31_1394
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK16(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1394])]) ).
fof(f5026,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK16(X0,sK2,X1))) )
| ~ spl31_449
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4517]) ).
fof(f41652,plain,
( spl31_1393
| ~ spl31_448
| ~ spl31_488 ),
inference(avatar_split_clause,[],[f5025,f5022,f4507,f41650]) ).
fof(f41650,plain,
( spl31_1393
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK16(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1393])]) ).
fof(f5025,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK16(X0,sK2,X1))) )
| ~ spl31_448
| ~ spl31_488 ),
inference(resolution,[],[f5023,f4508]) ).
fof(f41648,plain,
( spl31_1392
| ~ spl31_450
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5012,f5007,f4526,f41646]) ).
fof(f41646,plain,
( spl31_1392
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK15(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1392])]) ).
fof(f5012,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_0(sK2,sK15(X0,sK2,X1))) )
| ~ spl31_450
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4527]) ).
fof(f41644,plain,
( spl31_1391
| ~ spl31_449
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5011,f5007,f4516,f41642]) ).
fof(f41642,plain,
( spl31_1391
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK15(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1391])]) ).
fof(f5011,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k2_filter_2(sK2,sK15(X0,sK2,X1))) )
| ~ spl31_449
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4517]) ).
fof(f41640,plain,
( spl31_1390
| ~ spl31_448
| ~ spl31_487 ),
inference(avatar_split_clause,[],[f5010,f5007,f4507,f41638]) ).
fof(f41638,plain,
( spl31_1390
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK15(X0,sK2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1390])]) ).
fof(f5010,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ v1_xboole_0(k18_filter_2(sK2,sK15(X0,sK2,X1))) )
| ~ spl31_448
| ~ spl31_487 ),
inference(resolution,[],[f5008,f4508]) ).
fof(f41635,plain,
( spl31_1389
| ~ spl31_440
| ~ spl31_1326 ),
inference(avatar_split_clause,[],[f39241,f39234,f4303,f41632]) ).
fof(f41632,plain,
( spl31_1389
<=> m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1389])]) ).
fof(f39241,plain,
( m1_subset_1(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| ~ spl31_440
| ~ spl31_1326 ),
inference(superposition,[],[f4305,f39236]) ).
fof(f41625,plain,
( spl31_234
| spl31_1388
| ~ spl31_322
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4558,f4549,f2691,f41623,f1979]) ).
fof(f41623,plain,
( spl31_1388
<=> ! [X0] :
( ~ m2_lattice4(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),sK22,X0)
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1388])]) ).
fof(f2691,plain,
( spl31_322
<=> ! [X0,X1] :
( r1_filter_2(X0,sK22,X1)
| ~ r1_filter_2(X0,X1,sK22)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_322])]) ).
fof(f4558,plain,
( ! [X0] :
( ~ m2_lattice4(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22)
| r1_filter_2(k1_filter_2(sK2),sK22,X0)
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_322
| ~ spl31_452 ),
inference(resolution,[],[f4550,f2692]) ).
fof(f2692,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,sK22)
| r1_filter_2(X0,sK22,X1)
| v1_xboole_0(X0) )
| ~ spl31_322 ),
inference(avatar_component_clause,[],[f2691]) ).
fof(f41616,plain,
( spl31_234
| spl31_1387
| ~ spl31_322
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4544,f4535,f2691,f41614,f1979]) ).
fof(f41614,plain,
( spl31_1387
<=> ! [X0] :
( ~ m1_filter_0(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),sK22,X0)
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1387])]) ).
fof(f4544,plain,
( ! [X0] :
( ~ m1_filter_0(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22)
| r1_filter_2(k1_filter_2(sK2),sK22,X0)
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_322
| ~ spl31_451 ),
inference(resolution,[],[f4536,f2692]) ).
fof(f41610,plain,
( ~ spl31_1386
| spl31_1384
| spl31_234
| ~ spl31_450
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5964,f5824,f4526,f1979,f41597,f41607]) ).
fof(f41607,plain,
( spl31_1386
<=> v1_xboole_0(k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1386])]) ).
fof(f5964,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| ~ v1_xboole_0(k2_filter_0(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_450
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4527]) ).
fof(f41605,plain,
( ~ spl31_1385
| spl31_1384
| spl31_234
| ~ spl31_449
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5963,f5824,f4516,f1979,f41597,f41602]) ).
fof(f41602,plain,
( spl31_1385
<=> v1_xboole_0(k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1385])]) ).
fof(f5963,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| ~ v1_xboole_0(k2_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_449
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4517]) ).
fof(f41600,plain,
( ~ spl31_1383
| spl31_1384
| spl31_234
| ~ spl31_448
| ~ spl31_532 ),
inference(avatar_split_clause,[],[f5962,f5824,f4507,f1979,f41597,f41593]) ).
fof(f41593,plain,
( spl31_1383
<=> v1_xboole_0(k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1383])]) ).
fof(f5962,plain,
( v1_xboole_0(k1_filter_2(sK2))
| v1_xboole_0(sK3(k1_filter_2(sK2)))
| ~ v1_xboole_0(k18_filter_2(sK2,sK10(sK3(k1_filter_2(sK2)))))
| ~ spl31_448
| ~ spl31_532 ),
inference(resolution,[],[f5825,f4508]) ).
fof(f41586,plain,
( spl31_234
| spl31_1382
| ~ spl31_314
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4557,f4549,f2598,f41584,f1979]) ).
fof(f41584,plain,
( spl31_1382
<=> ! [X0] :
( ~ m2_lattice4(X0,sK2)
| sK22 = X0
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1382])]) ).
fof(f2598,plain,
( spl31_314
<=> ! [X0,X1] :
( sK22 = X1
| ~ r1_filter_2(X0,X1,sK22)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_314])]) ).
fof(f4557,plain,
( ! [X0] :
( ~ m2_lattice4(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22)
| sK22 = X0
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_314
| ~ spl31_452 ),
inference(resolution,[],[f4550,f2599]) ).
fof(f2599,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,sK22)
| sK22 = X1
| v1_xboole_0(X0) )
| ~ spl31_314 ),
inference(avatar_component_clause,[],[f2598]) ).
fof(f41577,plain,
( spl31_234
| spl31_1381
| ~ spl31_314
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4543,f4535,f2598,f41575,f1979]) ).
fof(f41575,plain,
( spl31_1381
<=> ! [X0] :
( ~ m1_filter_0(X0,sK2)
| sK22 = X0
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1381])]) ).
fof(f4543,plain,
( ! [X0] :
( ~ m1_filter_0(X0,sK2)
| ~ r1_filter_2(k1_filter_2(sK2),X0,sK22)
| sK22 = X0
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_314
| ~ spl31_451 ),
inference(resolution,[],[f4536,f2599]) ).
fof(f41573,plain,
( spl31_1380
| ~ spl31_301
| ~ spl31_437 ),
inference(avatar_split_clause,[],[f4290,f4286,f2477,f41571]) ).
fof(f41571,plain,
( spl31_1380
<=> ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1380])]) ).
fof(f2477,plain,
( spl31_301
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_301])]) ).
fof(f4286,plain,
( spl31_437
<=> m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_437])]) ).
fof(f4290,plain,
( ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))) )
| ~ spl31_301
| ~ spl31_437 ),
inference(resolution,[],[f4288,f2478]) ).
fof(f2478,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl31_301 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f4288,plain,
( m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_437 ),
inference(avatar_component_clause,[],[f4286]) ).
fof(f41569,plain,
( spl31_1379
| ~ spl31_301
| ~ spl31_432 ),
inference(avatar_split_clause,[],[f4259,f4255,f2477,f41567]) ).
fof(f41567,plain,
( spl31_1379
<=> ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1379])]) ).
fof(f4255,plain,
( spl31_432
<=> m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_432])]) ).
fof(f4259,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))) )
| ~ spl31_301
| ~ spl31_432 ),
inference(resolution,[],[f4257,f2478]) ).
fof(f4257,plain,
( m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_432 ),
inference(avatar_component_clause,[],[f4255]) ).
fof(f41526,plain,
( spl31_1378
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1377 ),
inference(avatar_split_clause,[],[f41512,f41507,f39522,f39234,f41523]) ).
fof(f41507,plain,
( spl31_1377
<=> k1_lattice2(sK2) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1377])]) ).
fof(f41512,plain,
( k1_lattice2(sK2) = g3_lattices(k17_filter_2(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ spl31_1326
| ~ spl31_1327
| ~ spl31_1377 ),
inference(forward_demodulation,[],[f41511,f39526]) ).
fof(f41511,plain,
( k1_lattice2(sK2) = g3_lattices(k1_filter_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ spl31_1326
| ~ spl31_1377 ),
inference(forward_demodulation,[],[f41509,f39236]) ).
fof(f41509,plain,
( k1_lattice2(sK2) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ spl31_1377 ),
inference(avatar_component_clause,[],[f41507]) ).
fof(f41510,plain,
( spl31_1377
| ~ spl31_3
| ~ spl31_675 ),
inference(avatar_split_clause,[],[f8226,f8165,f537,f41507]) ).
fof(f8226,plain,
( k1_lattice2(sK2) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ spl31_3
| ~ spl31_675 ),
inference(resolution,[],[f8166,f539]) ).
fof(f539,plain,
( l3_lattices(sK2)
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f40469,plain,
( spl31_1376
| ~ spl31_218
| ~ spl31_1345 ),
inference(avatar_split_clause,[],[f40426,f39898,f1881,f40466]) ).
fof(f40426,plain,
( sK22 = k17_filter_2(k1_lattice2(sK2))
| ~ spl31_218
| ~ spl31_1345 ),
inference(resolution,[],[f39899,f1882]) ).
fof(f40464,plain,
( spl31_1375
| ~ spl31_450
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6080,f5857,f4526,f40462]) ).
fof(f40462,plain,
( spl31_1375
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1375])]) ).
fof(f6080,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_450
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4527]) ).
fof(f40460,plain,
( spl31_1374
| ~ spl31_449
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6079,f5857,f4516,f40458]) ).
fof(f40458,plain,
( spl31_1374
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1374])]) ).
fof(f6079,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_449
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4517]) ).
fof(f40456,plain,
( spl31_1373
| ~ spl31_448
| ~ spl31_540 ),
inference(avatar_split_clause,[],[f6078,f5857,f4507,f40454]) ).
fof(f40454,plain,
( spl31_1373
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1373])]) ).
fof(f6078,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(X0,k1_filter_2(sK2)))) )
| ~ spl31_448
| ~ spl31_540 ),
inference(resolution,[],[f5858,f4508]) ).
fof(f40452,plain,
( spl31_1372
| ~ spl31_450
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6031,f5849,f4526,f40450]) ).
fof(f40450,plain,
( spl31_1372
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1372])]) ).
fof(f6031,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_0(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_450
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4527]) ).
fof(f40448,plain,
( spl31_1371
| ~ spl31_449
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6030,f5849,f4516,f40446]) ).
fof(f40446,plain,
( spl31_1371
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1371])]) ).
fof(f6030,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k2_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_449
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4517]) ).
fof(f40444,plain,
( spl31_1370
| ~ spl31_448
| ~ spl31_538 ),
inference(avatar_split_clause,[],[f6029,f5849,f4507,f40442]) ).
fof(f40442,plain,
( spl31_1370
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1370])]) ).
fof(f6029,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_filter_2(sK2) = X0
| ~ v1_xboole_0(k18_filter_2(sK2,sK12(k1_filter_2(sK2),X0))) )
| ~ spl31_448
| ~ spl31_538 ),
inference(resolution,[],[f5850,f4508]) ).
fof(f40440,plain,
( ~ spl31_1369
| spl31_1367
| ~ spl31_450
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5915,f5759,f4526,f40419,f40437]) ).
fof(f5915,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| ~ v1_xboole_0(k2_filter_0(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_450
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4527]) ).
fof(f40435,plain,
( ~ spl31_1368
| spl31_1367
| ~ spl31_449
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5914,f5759,f4516,f40419,f40432]) ).
fof(f5914,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| ~ v1_xboole_0(k2_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_449
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4517]) ).
fof(f40422,plain,
( ~ spl31_1366
| spl31_1367
| ~ spl31_448
| ~ spl31_524 ),
inference(avatar_split_clause,[],[f5913,f5759,f4507,f40419,f40415]) ).
fof(f5913,plain,
( v1_xboole_0(sK10(k1_zfmisc_1(k1_filter_2(sK2))))
| ~ v1_xboole_0(k18_filter_2(sK2,sK10(sK10(k1_zfmisc_1(k1_filter_2(sK2))))))
| ~ spl31_448
| ~ spl31_524 ),
inference(resolution,[],[f5760,f4508]) ).
fof(f40413,plain,
( spl31_1365
| ~ spl31_65
| ~ spl31_441
| ~ spl31_471
| ~ spl31_497
| ~ spl31_507 ),
inference(avatar_split_clause,[],[f5608,f5590,f5080,f4881,f4309,f832,f40410]) ).
fof(f40410,plain,
( spl31_1365
<=> k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1365])]) ).
fof(f5590,plain,
( spl31_507
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_507])]) ).
fof(f5608,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_471
| ~ spl31_497
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5607,f4883]) ).
fof(f5607,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_497
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5606,f5441]) ).
fof(f5441,plain,
( sK10(k1_filter_2(sK2)) = k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_497 ),
inference(forward_demodulation,[],[f5434,f4311]) ).
fof(f5434,plain,
( k5_filter_2(sK2,sK10(k1_filter_2(sK2))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_497 ),
inference(resolution,[],[f5081,f833]) ).
fof(f5606,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5595,f4311]) ).
fof(f5595,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))))
| ~ spl31_65
| ~ spl31_507 ),
inference(resolution,[],[f5591,f833]) ).
fof(f5591,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))) )
| ~ spl31_507 ),
inference(avatar_component_clause,[],[f5590]) ).
fof(f40408,plain,
( spl31_1364
| ~ spl31_65
| ~ spl31_441
| ~ spl31_477
| ~ spl31_497
| ~ spl31_506 ),
inference(avatar_split_clause,[],[f5588,f5570,f5080,f4924,f4309,f832,f40405]) ).
fof(f40405,plain,
( spl31_1364
<=> k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1364])]) ).
fof(f5570,plain,
( spl31_506
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_506])]) ).
fof(f5588,plain,
( k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_477
| ~ spl31_497
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5587,f4926]) ).
fof(f5587,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_497
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5586,f5441]) ).
fof(f5586,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5575,f4311]) ).
fof(f5575,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))))
| ~ spl31_65
| ~ spl31_506 ),
inference(resolution,[],[f5571,f833]) ).
fof(f5571,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))) )
| ~ spl31_506 ),
inference(avatar_component_clause,[],[f5570]) ).
fof(f40403,plain,
( spl31_1362
| ~ spl31_1363
| ~ spl31_292
| ~ spl31_432 ),
inference(avatar_split_clause,[],[f4260,f4255,f2401,f40400,f40397]) ).
fof(f40397,plain,
( spl31_1362
<=> ! [X0] : ~ r2_hidden(X0,u1_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1362])]) ).
fof(f40400,plain,
( spl31_1363
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1363])]) ).
fof(f2401,plain,
( spl31_292
<=> ! [X2,X0,X1,X3] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_292])]) ).
fof(f4260,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2)))
| ~ r2_hidden(X0,u1_lattices(sK2)) )
| ~ spl31_292
| ~ spl31_432 ),
inference(resolution,[],[f4257,f2402]) ).
fof(f2402,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl31_292 ),
inference(avatar_component_clause,[],[f2401]) ).
fof(f40395,plain,
( spl31_234
| spl31_1323
| ~ spl31_1361
| ~ spl31_314
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3929,f3845,f2598,f40392,f39193,f1979]) ).
fof(f39193,plain,
( spl31_1323
<=> sK22 = sK4(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1323])]) ).
fof(f40392,plain,
( spl31_1361
<=> r1_filter_2(k1_filter_2(sK2),sK4(sK2),sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1361])]) ).
fof(f3929,plain,
( ~ r1_filter_2(k1_filter_2(sK2),sK4(sK2),sK22)
| sK22 = sK4(sK2)
| v1_xboole_0(k1_filter_2(sK2))
| ~ spl31_314
| ~ spl31_404 ),
inference(resolution,[],[f3847,f2599]) ).
fof(f40382,plain,
( ~ spl31_1345
| ~ spl31_1326
| ~ spl31_1327
| spl31_1336 ),
inference(avatar_split_clause,[],[f39860,f39856,f39522,f39234,f39898]) ).
fof(f39856,plain,
( spl31_1336
<=> v1_xboole_0(k1_filter_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1336])]) ).
fof(f39860,plain,
( ~ v1_xboole_0(k17_filter_2(k1_lattice2(sK2)))
| ~ spl31_1326
| ~ spl31_1327
| spl31_1336 ),
inference(forward_demodulation,[],[f39858,f39526]) ).
fof(f39858,plain,
( ~ v1_xboole_0(k1_filter_0(k1_lattice2(sK2)))
| spl31_1336 ),
inference(avatar_component_clause,[],[f39856]) ).
fof(f40367,plain,
( spl31_1360
| ~ spl31_56
| ~ spl31_931 ),
inference(avatar_split_clause,[],[f14925,f13917,f796,f40364]) ).
fof(f40364,plain,
( spl31_1360
<=> l2_lattices(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1360])]) ).
fof(f796,plain,
( spl31_56
<=> ! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_56])]) ).
fof(f13917,plain,
( spl31_931
<=> l3_lattices(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_931])]) ).
fof(f14925,plain,
( l2_lattices(k1_lattice2(sK26))
| ~ spl31_56
| ~ spl31_931 ),
inference(resolution,[],[f13918,f797]) ).
fof(f797,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) )
| ~ spl31_56 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f13918,plain,
( l3_lattices(k1_lattice2(sK26))
| ~ spl31_931 ),
inference(avatar_component_clause,[],[f13917]) ).
fof(f40362,plain,
( spl31_1359
| ~ spl31_56
| ~ spl31_928 ),
inference(avatar_split_clause,[],[f14500,f13903,f796,f40359]) ).
fof(f40359,plain,
( spl31_1359
<=> l2_lattices(k1_lattice2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1359])]) ).
fof(f13903,plain,
( spl31_928
<=> l3_lattices(k1_lattice2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_928])]) ).
fof(f14500,plain,
( l2_lattices(k1_lattice2(sK25))
| ~ spl31_56
| ~ spl31_928 ),
inference(resolution,[],[f13904,f797]) ).
fof(f13904,plain,
( l3_lattices(k1_lattice2(sK25))
| ~ spl31_928 ),
inference(avatar_component_clause,[],[f13903]) ).
fof(f40357,plain,
( spl31_1345
| ~ spl31_987
| ~ spl31_1326
| ~ spl31_1327 ),
inference(avatar_split_clause,[],[f40354,f39522,f39234,f16640,f39898]) ).
fof(f40354,plain,
( v1_xboole_0(k17_filter_2(k1_lattice2(sK2)))
| ~ spl31_987
| ~ spl31_1326
| ~ spl31_1327 ),
inference(forward_demodulation,[],[f40353,f39526]) ).
fof(f40353,plain,
( v1_xboole_0(k1_filter_0(k1_lattice2(sK2)))
| ~ spl31_987
| ~ spl31_1326 ),
inference(forward_demodulation,[],[f16642,f39236]) ).
fof(f16642,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_987 ),
inference(avatar_component_clause,[],[f16640]) ).
fof(f40327,plain,
( spl31_1358
| ~ spl31_986
| ~ spl31_1326 ),
inference(avatar_split_clause,[],[f39239,f39234,f16636,f40324]) ).
fof(f16636,plain,
( spl31_986
<=> r2_hidden(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_986])]) ).
fof(f39239,plain,
( r2_hidden(k6_lattices(sK2),k1_filter_0(k1_lattice2(sK2)))
| ~ spl31_986
| ~ spl31_1326 ),
inference(superposition,[],[f16638,f39236]) ).
fof(f16638,plain,
( r2_hidden(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_986 ),
inference(avatar_component_clause,[],[f16636]) ).
fof(f40322,plain,
( spl31_1357
| ~ spl31_55
| ~ spl31_928 ),
inference(avatar_split_clause,[],[f14499,f13903,f792,f40319]) ).
fof(f40319,plain,
( spl31_1357
<=> l1_lattices(k1_lattice2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1357])]) ).
fof(f792,plain,
( spl31_55
<=> ! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_55])]) ).
fof(f14499,plain,
( l1_lattices(k1_lattice2(sK25))
| ~ spl31_55
| ~ spl31_928 ),
inference(resolution,[],[f13904,f793]) ).
fof(f793,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) )
| ~ spl31_55 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f40317,plain,
( spl31_1356
| ~ spl31_53
| ~ spl31_565 ),
inference(avatar_split_clause,[],[f11136,f6248,f784,f40314]) ).
fof(f40314,plain,
( spl31_1356
<=> l1_struct_0(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1356])]) ).
fof(f784,plain,
( spl31_53
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_53])]) ).
fof(f6248,plain,
( spl31_565
<=> l1_lattices(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_565])]) ).
fof(f11136,plain,
( l1_struct_0(k1_lattice2(sK26))
| ~ spl31_53
| ~ spl31_565 ),
inference(resolution,[],[f6249,f785]) ).
fof(f785,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) )
| ~ spl31_53 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f6249,plain,
( l1_lattices(k1_lattice2(sK26))
| ~ spl31_565 ),
inference(avatar_component_clause,[],[f6248]) ).
fof(f40312,plain,
( spl31_1355
| ~ spl31_239
| ~ spl31_562 ),
inference(avatar_split_clause,[],[f6241,f6230,f2000,f40309]) ).
fof(f40309,plain,
( spl31_1355
<=> v1_relat_1(u2_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1355])]) ).
fof(f2000,plain,
( spl31_239
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_239])]) ).
fof(f6230,plain,
( spl31_562
<=> m2_relset_1(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_562])]) ).
fof(f6241,plain,
( v1_relat_1(u2_lattices(sK26))
| ~ spl31_239
| ~ spl31_562 ),
inference(resolution,[],[f6232,f2001]) ).
fof(f2001,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl31_239 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f6232,plain,
( m2_relset_1(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ spl31_562 ),
inference(avatar_component_clause,[],[f6230]) ).
fof(f40307,plain,
( spl31_1354
| ~ spl31_239
| ~ spl31_558 ),
inference(avatar_split_clause,[],[f6210,f6204,f2000,f40304]) ).
fof(f40304,plain,
( spl31_1354
<=> v1_relat_1(u1_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1354])]) ).
fof(f6204,plain,
( spl31_558
<=> m2_relset_1(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_558])]) ).
fof(f6210,plain,
( v1_relat_1(u1_lattices(sK26))
| ~ spl31_239
| ~ spl31_558 ),
inference(resolution,[],[f6206,f2001]) ).
fof(f6206,plain,
( m2_relset_1(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ spl31_558 ),
inference(avatar_component_clause,[],[f6204]) ).
fof(f40302,plain,
( spl31_1353
| ~ spl31_239
| ~ spl31_554 ),
inference(avatar_split_clause,[],[f6184,f6178,f2000,f40299]) ).
fof(f40299,plain,
( spl31_1353
<=> v1_relat_1(u2_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1353])]) ).
fof(f6178,plain,
( spl31_554
<=> m2_relset_1(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_554])]) ).
fof(f6184,plain,
( v1_relat_1(u2_lattices(sK25))
| ~ spl31_239
| ~ spl31_554 ),
inference(resolution,[],[f6180,f2001]) ).
fof(f6180,plain,
( m2_relset_1(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ spl31_554 ),
inference(avatar_component_clause,[],[f6178]) ).
fof(f40297,plain,
( spl31_1352
| ~ spl31_239
| ~ spl31_550 ),
inference(avatar_split_clause,[],[f6158,f6152,f2000,f40294]) ).
fof(f40294,plain,
( spl31_1352
<=> v1_relat_1(u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1352])]) ).
fof(f6152,plain,
( spl31_550
<=> m2_relset_1(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_550])]) ).
fof(f6158,plain,
( v1_relat_1(u1_lattices(sK25))
| ~ spl31_239
| ~ spl31_550 ),
inference(resolution,[],[f6154,f2001]) ).
fof(f6154,plain,
( m2_relset_1(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ spl31_550 ),
inference(avatar_component_clause,[],[f6152]) ).
fof(f39928,plain,
( spl31_1350
| ~ spl31_1351
| ~ spl31_442
| ~ spl31_1246 ),
inference(avatar_split_clause,[],[f39055,f32562,f4342,f39925,f39921]) ).
fof(f39925,plain,
( spl31_1351
<=> k1_lattice2(sK21) = k1_lattice2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1351])]) ).
fof(f4342,plain,
( spl31_442
<=> k1_lattice2(k1_lattice2(sK2)) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_442])]) ).
fof(f32562,plain,
( spl31_1246
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u2_lattices(sK21) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1246])]) ).
fof(f39055,plain,
( k1_lattice2(sK21) != k1_lattice2(k1_lattice2(sK2))
| u2_lattices(sK21) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_442
| ~ spl31_1246 ),
inference(superposition,[],[f32563,f4344]) ).
fof(f4344,plain,
( k1_lattice2(k1_lattice2(sK2)) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)))
| ~ spl31_442 ),
inference(avatar_component_clause,[],[f4342]) ).
fof(f32563,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u2_lattices(sK21) = X2 )
| ~ spl31_1246 ),
inference(avatar_component_clause,[],[f32562]) ).
fof(f39919,plain,
( spl31_1348
| ~ spl31_1349
| ~ spl31_442
| ~ spl31_1308 ),
inference(avatar_split_clause,[],[f37982,f37976,f4342,f39916,f39912]) ).
fof(f39916,plain,
( spl31_1349
<=> k1_lattice2(sK27) = k1_lattice2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1349])]) ).
fof(f37976,plain,
( spl31_1308
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u2_lattices(sK27) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1308])]) ).
fof(f37982,plain,
( k1_lattice2(sK27) != k1_lattice2(k1_lattice2(sK2))
| u2_lattices(sK27) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_442
| ~ spl31_1308 ),
inference(superposition,[],[f37977,f4344]) ).
fof(f37977,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u2_lattices(sK27) = X2 )
| ~ spl31_1308 ),
inference(avatar_component_clause,[],[f37976]) ).
fof(f39910,plain,
( spl31_1346
| ~ spl31_1347
| ~ spl31_442
| ~ spl31_1263 ),
inference(avatar_split_clause,[],[f33357,f33351,f4342,f39907,f39903]) ).
fof(f39907,plain,
( spl31_1347
<=> k1_lattice2(sK24) = k1_lattice2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1347])]) ).
fof(f33351,plain,
( spl31_1263
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u2_lattices(sK24) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1263])]) ).
fof(f33357,plain,
( k1_lattice2(sK24) != k1_lattice2(k1_lattice2(sK2))
| u2_lattices(sK24) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_442
| ~ spl31_1263 ),
inference(superposition,[],[f33352,f4344]) ).
fof(f33352,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u2_lattices(sK24) = X2 )
| ~ spl31_1263 ),
inference(avatar_component_clause,[],[f33351]) ).
fof(f39901,plain,
( ~ spl31_1345
| spl31_987
| ~ spl31_1327 ),
inference(avatar_split_clause,[],[f39530,f39522,f16640,f39898]) ).
fof(f39530,plain,
( ~ v1_xboole_0(k17_filter_2(k1_lattice2(sK2)))
| spl31_987
| ~ spl31_1327 ),
inference(superposition,[],[f16641,f39524]) ).
fof(f16641,plain,
( ~ v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| spl31_987 ),
inference(avatar_component_clause,[],[f16640]) ).
fof(f39896,plain,
( spl31_1343
| ~ spl31_1344
| ~ spl31_638
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13528,f7720,f7055,f39893,f39889]) ).
fof(f39889,plain,
( spl31_1343
<=> u2_lattices(sK2) = u2_lattices(k1_lattice2(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1343])]) ).
fof(f39893,plain,
( spl31_1344
<=> k1_lattice2(sK2) = k1_lattice2(k1_lattice2(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1344])]) ).
fof(f7055,plain,
( spl31_638
<=> k1_lattice2(k1_lattice2(sK27)) = g3_lattices(u1_struct_0(k1_lattice2(sK27)),u1_lattices(k1_lattice2(sK27)),u2_lattices(k1_lattice2(sK27))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_638])]) ).
fof(f13528,plain,
( k1_lattice2(sK2) != k1_lattice2(k1_lattice2(sK27))
| u2_lattices(sK2) = u2_lattices(k1_lattice2(sK27))
| ~ spl31_638
| ~ spl31_653 ),
inference(superposition,[],[f7721,f7057]) ).
fof(f7057,plain,
( k1_lattice2(k1_lattice2(sK27)) = g3_lattices(u1_struct_0(k1_lattice2(sK27)),u1_lattices(k1_lattice2(sK27)),u2_lattices(k1_lattice2(sK27)))
| ~ spl31_638 ),
inference(avatar_component_clause,[],[f7055]) ).
fof(f39887,plain,
( spl31_1341
| ~ spl31_1342
| ~ spl31_636
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13527,f7720,f7045,f39884,f39880]) ).
fof(f39880,plain,
( spl31_1341
<=> u2_lattices(sK2) = u2_lattices(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1341])]) ).
fof(f39884,plain,
( spl31_1342
<=> k1_lattice2(sK2) = k1_lattice2(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1342])]) ).
fof(f7045,plain,
( spl31_636
<=> k1_lattice2(k1_lattice2(sK26)) = g3_lattices(u1_struct_0(k1_lattice2(sK26)),u1_lattices(k1_lattice2(sK26)),u2_lattices(k1_lattice2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_636])]) ).
fof(f13527,plain,
( k1_lattice2(sK2) != k1_lattice2(k1_lattice2(sK26))
| u2_lattices(sK2) = u2_lattices(k1_lattice2(sK26))
| ~ spl31_636
| ~ spl31_653 ),
inference(superposition,[],[f7721,f7047]) ).
fof(f7047,plain,
( k1_lattice2(k1_lattice2(sK26)) = g3_lattices(u1_struct_0(k1_lattice2(sK26)),u1_lattices(k1_lattice2(sK26)),u2_lattices(k1_lattice2(sK26)))
| ~ spl31_636 ),
inference(avatar_component_clause,[],[f7045]) ).
fof(f39878,plain,
( spl31_1339
| ~ spl31_1340
| ~ spl31_635
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13526,f7720,f7040,f39875,f39871]) ).
fof(f39871,plain,
( spl31_1339
<=> u2_lattices(sK2) = u2_lattices(k1_lattice2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1339])]) ).
fof(f39875,plain,
( spl31_1340
<=> k1_lattice2(sK2) = k1_lattice2(k1_lattice2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1340])]) ).
fof(f7040,plain,
( spl31_635
<=> k1_lattice2(k1_lattice2(sK25)) = g3_lattices(u1_struct_0(k1_lattice2(sK25)),u1_lattices(k1_lattice2(sK25)),u2_lattices(k1_lattice2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_635])]) ).
fof(f13526,plain,
( k1_lattice2(sK2) != k1_lattice2(k1_lattice2(sK25))
| u2_lattices(sK2) = u2_lattices(k1_lattice2(sK25))
| ~ spl31_635
| ~ spl31_653 ),
inference(superposition,[],[f7721,f7042]) ).
fof(f7042,plain,
( k1_lattice2(k1_lattice2(sK25)) = g3_lattices(u1_struct_0(k1_lattice2(sK25)),u1_lattices(k1_lattice2(sK25)),u2_lattices(k1_lattice2(sK25)))
| ~ spl31_635 ),
inference(avatar_component_clause,[],[f7040]) ).
fof(f39869,plain,
( spl31_1337
| ~ spl31_1338
| ~ spl31_634
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13525,f7720,f7035,f39866,f39862]) ).
fof(f39862,plain,
( spl31_1337
<=> u2_lattices(sK2) = u2_lattices(k1_lattice2(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1337])]) ).
fof(f39866,plain,
( spl31_1338
<=> k1_lattice2(sK2) = k1_lattice2(k1_lattice2(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1338])]) ).
fof(f7035,plain,
( spl31_634
<=> k1_lattice2(k1_lattice2(sK24)) = g3_lattices(u1_struct_0(k1_lattice2(sK24)),u1_lattices(k1_lattice2(sK24)),u2_lattices(k1_lattice2(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_634])]) ).
fof(f13525,plain,
( k1_lattice2(sK2) != k1_lattice2(k1_lattice2(sK24))
| u2_lattices(sK2) = u2_lattices(k1_lattice2(sK24))
| ~ spl31_634
| ~ spl31_653 ),
inference(superposition,[],[f7721,f7037]) ).
fof(f7037,plain,
( k1_lattice2(k1_lattice2(sK24)) = g3_lattices(u1_struct_0(k1_lattice2(sK24)),u1_lattices(k1_lattice2(sK24)),u2_lattices(k1_lattice2(sK24)))
| ~ spl31_634 ),
inference(avatar_component_clause,[],[f7035]) ).
fof(f39859,plain,
( ~ spl31_1336
| spl31_987
| ~ spl31_1326 ),
inference(avatar_split_clause,[],[f39240,f39234,f16640,f39856]) ).
fof(f39240,plain,
( ~ v1_xboole_0(k1_filter_0(k1_lattice2(sK2)))
| spl31_987
| ~ spl31_1326 ),
inference(superposition,[],[f16641,f39236]) ).
fof(f39854,plain,
( spl31_1334
| ~ spl31_1335
| ~ spl31_633
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13524,f7720,f7030,f39851,f39847]) ).
fof(f39847,plain,
( spl31_1334
<=> u2_lattices(sK2) = u2_lattices(k1_lattice2(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1334])]) ).
fof(f39851,plain,
( spl31_1335
<=> k1_lattice2(sK2) = k1_lattice2(k1_lattice2(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1335])]) ).
fof(f7030,plain,
( spl31_633
<=> k1_lattice2(k1_lattice2(sK21)) = g3_lattices(u1_struct_0(k1_lattice2(sK21)),u1_lattices(k1_lattice2(sK21)),u2_lattices(k1_lattice2(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_633])]) ).
fof(f13524,plain,
( k1_lattice2(sK2) != k1_lattice2(k1_lattice2(sK21))
| u2_lattices(sK2) = u2_lattices(k1_lattice2(sK21))
| ~ spl31_633
| ~ spl31_653 ),
inference(superposition,[],[f7721,f7032]) ).
fof(f7032,plain,
( k1_lattice2(k1_lattice2(sK21)) = g3_lattices(u1_struct_0(k1_lattice2(sK21)),u1_lattices(k1_lattice2(sK21)),u2_lattices(k1_lattice2(sK21)))
| ~ spl31_633 ),
inference(avatar_component_clause,[],[f7030]) ).
fof(f39845,plain,
( spl31_1332
| ~ spl31_1333
| ~ spl31_442
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13523,f7720,f4342,f39842,f39838]) ).
fof(f39842,plain,
( spl31_1333
<=> k1_lattice2(sK2) = k1_lattice2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1333])]) ).
fof(f13523,plain,
( k1_lattice2(sK2) != k1_lattice2(k1_lattice2(sK2))
| u2_lattices(sK2) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_442
| ~ spl31_653 ),
inference(superposition,[],[f7721,f4344]) ).
fof(f39836,plain,
( spl31_1331
| ~ spl31_65
| ~ spl31_441
| ~ spl31_471
| ~ spl31_500
| ~ spl31_502 ),
inference(avatar_split_clause,[],[f5502,f5487,f5446,f4881,f4309,f832,f39833]) ).
fof(f39833,plain,
( spl31_1331
<=> k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_0(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1331])]) ).
fof(f5502,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_0(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_471
| ~ spl31_500
| ~ spl31_502 ),
inference(forward_demodulation,[],[f5501,f5461]) ).
fof(f5461,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_0(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_471
| ~ spl31_500 ),
inference(forward_demodulation,[],[f5460,f4883]) ).
fof(f5460,plain,
( k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) = k2_filter_0(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_500 ),
inference(forward_demodulation,[],[f5451,f4311]) ).
fof(f5451,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_500 ),
inference(resolution,[],[f5447,f833]) ).
fof(f5501,plain,
( k2_filter_0(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) = a_2_0_filter_0(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_502 ),
inference(forward_demodulation,[],[f5492,f4311]) ).
fof(f5492,plain,
( k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_502 ),
inference(resolution,[],[f5488,f833]) ).
fof(f39831,plain,
( spl31_1330
| ~ spl31_65
| ~ spl31_441
| ~ spl31_477
| ~ spl31_501 ),
inference(avatar_split_clause,[],[f5478,f5463,f4924,f4309,f832,f39828]) ).
fof(f39828,plain,
( spl31_1330
<=> k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1330])]) ).
fof(f5478,plain,
( k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_477
| ~ spl31_501 ),
inference(forward_demodulation,[],[f5477,f4926]) ).
fof(f5477,plain,
( k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) = a_2_0_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_441
| ~ spl31_501 ),
inference(forward_demodulation,[],[f5468,f4311]) ).
fof(f5468,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_501 ),
inference(resolution,[],[f5464,f833]) ).
fof(f39826,plain,
( spl31_1329
| ~ spl31_65
| ~ spl31_441
| ~ spl31_471
| ~ spl31_500 ),
inference(avatar_split_clause,[],[f5461,f5446,f4881,f4309,f832,f39823]) ).
fof(f39823,plain,
( spl31_1329
<=> k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_0(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1329])]) ).
fof(f39815,plain,
( ~ spl31_3
| spl31_438
| spl31_1328
| ~ spl31_324
| ~ spl31_495 ),
inference(avatar_split_clause,[],[f5087,f5072,f2793,f39812,f4295,f537]) ).
fof(f2793,plain,
( spl31_324
<=> ! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k1_filter_2(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_324])]) ).
fof(f5087,plain,
( k1_filter_0(k1_lattice2(sK2)) = k1_filter_2(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_324
| ~ spl31_495 ),
inference(resolution,[],[f5073,f2794]) ).
fof(f2794,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k1_filter_0(k1_lattice2(X0)) = k1_filter_2(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_324 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f39525,plain,
( ~ spl31_3
| spl31_438
| spl31_1327
| ~ spl31_325
| ~ spl31_495 ),
inference(avatar_split_clause,[],[f5086,f5072,f2797,f39522,f4295,f537]) ).
fof(f2797,plain,
( spl31_325
<=> ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k17_filter_2(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_325])]) ).
fof(f5086,plain,
( u1_struct_0(k1_lattice2(sK2)) = k17_filter_2(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_325
| ~ spl31_495 ),
inference(resolution,[],[f5073,f2798]) ).
fof(f2798,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| u1_struct_0(k1_lattice2(X0)) = k17_filter_2(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_325 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f39237,plain,
( ~ spl31_3
| spl31_438
| spl31_1326
| ~ spl31_326
| ~ spl31_495 ),
inference(avatar_split_clause,[],[f5085,f5072,f2801,f39234,f4295,f537]) ).
fof(f2801,plain,
( spl31_326
<=> ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_326])]) ).
fof(f5085,plain,
( u1_struct_0(k1_lattice2(sK2)) = k1_filter_0(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_326
| ~ spl31_495 ),
inference(resolution,[],[f5073,f2802]) ).
fof(f2802,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_326 ),
inference(avatar_component_clause,[],[f2801]) ).
fof(f39222,plain,
( spl31_863
| spl31_1325
| ~ spl31_101
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4561,f4549,f1013,f39220,f12731]) ).
fof(f12731,plain,
( spl31_863
<=> v1_xboole_0(k1_zfmisc_1(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_863])]) ).
fof(f39220,plain,
( spl31_1325
<=> ! [X0] :
( ~ m2_lattice4(X0,sK2)
| r2_hidden(X0,k1_zfmisc_1(k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1325])]) ).
fof(f4561,plain,
( ! [X0] :
( ~ m2_lattice4(X0,sK2)
| v1_xboole_0(k1_zfmisc_1(k1_filter_2(sK2)))
| r2_hidden(X0,k1_zfmisc_1(k1_filter_2(sK2))) )
| ~ spl31_101
| ~ spl31_452 ),
inference(resolution,[],[f4550,f1014]) ).
fof(f39206,plain,
( ~ spl31_50
| ~ spl31_863 ),
inference(avatar_contradiction_clause,[],[f39201]) ).
fof(f39201,plain,
( $false
| ~ spl31_50
| ~ spl31_863 ),
inference(resolution,[],[f12733,f773]) ).
fof(f773,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl31_50 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f772,plain,
( spl31_50
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_50])]) ).
fof(f12733,plain,
( v1_xboole_0(k1_zfmisc_1(k1_filter_2(sK2)))
| ~ spl31_863 ),
inference(avatar_component_clause,[],[f12731]) ).
fof(f39200,plain,
( spl31_863
| spl31_1324
| ~ spl31_101
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4547,f4535,f1013,f39198,f12731]) ).
fof(f39198,plain,
( spl31_1324
<=> ! [X0] :
( ~ m1_filter_0(X0,sK2)
| r2_hidden(X0,k1_zfmisc_1(k1_filter_2(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1324])]) ).
fof(f4547,plain,
( ! [X0] :
( ~ m1_filter_0(X0,sK2)
| v1_xboole_0(k1_zfmisc_1(k1_filter_2(sK2)))
| r2_hidden(X0,k1_zfmisc_1(k1_filter_2(sK2))) )
| ~ spl31_101
| ~ spl31_451 ),
inference(resolution,[],[f4536,f1014]) ).
fof(f39196,plain,
( spl31_1322
| spl31_1323
| ~ spl31_415
| ~ spl31_498 ),
inference(avatar_split_clause,[],[f5527,f5092,f4036,f39193,f39189]) ).
fof(f39189,plain,
( spl31_1322
<=> m1_subset_1(sK12(sK4(sK2),sK22),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1322])]) ).
fof(f4036,plain,
( spl31_415
<=> ! [X0] :
( m1_subset_1(X0,k1_filter_2(sK2))
| ~ r2_hidden(X0,sK4(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_415])]) ).
fof(f5092,plain,
( spl31_498
<=> ! [X0] :
( r2_hidden(sK12(X0,sK22),X0)
| sK22 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_498])]) ).
fof(f5527,plain,
( sK22 = sK4(sK2)
| m1_subset_1(sK12(sK4(sK2),sK22),k1_filter_2(sK2))
| ~ spl31_415
| ~ spl31_498 ),
inference(resolution,[],[f5093,f4037]) ).
fof(f4037,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4(sK2))
| m1_subset_1(X0,k1_filter_2(sK2)) )
| ~ spl31_415 ),
inference(avatar_component_clause,[],[f4036]) ).
fof(f5093,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK22),X0)
| sK22 = X0 )
| ~ spl31_498 ),
inference(avatar_component_clause,[],[f5092]) ).
fof(f39169,plain,
( spl31_1320
| ~ spl31_1321
| ~ spl31_442
| ~ spl31_1239 ),
inference(avatar_split_clause,[],[f37920,f32523,f4342,f39166,f39162]) ).
fof(f39166,plain,
( spl31_1321
<=> sK27 = k1_lattice2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1321])]) ).
fof(f32523,plain,
( spl31_1239
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_lattices(sK27) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1239])]) ).
fof(f37920,plain,
( sK27 != k1_lattice2(k1_lattice2(sK2))
| u1_lattices(sK27) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_442
| ~ spl31_1239 ),
inference(superposition,[],[f32524,f4344]) ).
fof(f32524,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_lattices(sK27) = X2 )
| ~ spl31_1239 ),
inference(avatar_component_clause,[],[f32523]) ).
fof(f39160,plain,
( spl31_1318
| ~ spl31_1319
| ~ spl31_442
| ~ spl31_1222 ),
inference(avatar_split_clause,[],[f33295,f32443,f4342,f39157,f39153]) ).
fof(f39157,plain,
( spl31_1319
<=> sK24 = k1_lattice2(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1319])]) ).
fof(f32443,plain,
( spl31_1222
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_lattices(sK24) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1222])]) ).
fof(f33295,plain,
( sK24 != k1_lattice2(k1_lattice2(sK2))
| u1_lattices(sK24) = u2_lattices(k1_lattice2(sK2))
| ~ spl31_442
| ~ spl31_1222 ),
inference(superposition,[],[f32444,f4344]) ).
fof(f32444,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_lattices(sK24) = X2 )
| ~ spl31_1222 ),
inference(avatar_component_clause,[],[f32443]) ).
fof(f39151,plain,
( spl31_1317
| ~ spl31_358
| ~ spl31_446
| ~ spl31_473
| ~ spl31_497
| ~ spl31_507 ),
inference(avatar_split_clause,[],[f5605,f5590,f5080,f4895,f4489,f3129,f39148]) ).
fof(f39148,plain,
( spl31_1317
<=> k18_filter_2(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1317])]) ).
fof(f5605,plain,
( k18_filter_2(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_473
| ~ spl31_497
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5604,f4897]) ).
fof(f5604,plain,
( k2_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_497
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5603,f5440]) ).
fof(f5440,plain,
( k5_lattices(sK2) = k5_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_497 ),
inference(forward_demodulation,[],[f5433,f4491]) ).
fof(f5433,plain,
( k5_filter_2(sK2,k5_lattices(sK2)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_497 ),
inference(resolution,[],[f5081,f3131]) ).
fof(f3131,plain,
( m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_358 ),
inference(avatar_component_clause,[],[f3129]) ).
fof(f5603,plain,
( k2_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5594,f4491]) ).
fof(f5594,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))))
| ~ spl31_358
| ~ spl31_507 ),
inference(resolution,[],[f5591,f3131]) ).
fof(f39146,plain,
( spl31_1316
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_497
| ~ spl31_507 ),
inference(avatar_split_clause,[],[f5602,f5590,f5080,f4909,f4500,f2662,f39143]) ).
fof(f39143,plain,
( spl31_1316
<=> k18_filter_2(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1316])]) ).
fof(f5602,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_497
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5601,f4911]) ).
fof(f5601,plain,
( k2_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_497
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5600,f5439]) ).
fof(f5439,plain,
( k6_lattices(sK2) = k5_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_497 ),
inference(forward_demodulation,[],[f5432,f4502]) ).
fof(f5432,plain,
( k5_filter_2(sK2,k6_lattices(sK2)) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_497 ),
inference(resolution,[],[f5081,f2664]) ).
fof(f5600,plain,
( k2_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_507 ),
inference(forward_demodulation,[],[f5593,f4502]) ).
fof(f5593,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))))
| ~ spl31_315
| ~ spl31_507 ),
inference(resolution,[],[f5591,f2664]) ).
fof(f39141,plain,
( spl31_1315
| ~ spl31_358
| ~ spl31_446
| ~ spl31_479
| ~ spl31_497
| ~ spl31_506 ),
inference(avatar_split_clause,[],[f5585,f5570,f5080,f4938,f4489,f3129,f39138]) ).
fof(f39138,plain,
( spl31_1315
<=> k2_filter_0(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1315])]) ).
fof(f5585,plain,
( k2_filter_0(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_479
| ~ spl31_497
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5584,f4940]) ).
fof(f5584,plain,
( k18_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_497
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5583,f5440]) ).
fof(f5583,plain,
( k18_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5574,f4491]) ).
fof(f5574,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))))
| ~ spl31_358
| ~ spl31_506 ),
inference(resolution,[],[f5571,f3131]) ).
fof(f39136,plain,
( spl31_1314
| ~ spl31_315
| ~ spl31_447
| ~ spl31_481
| ~ spl31_497
| ~ spl31_506 ),
inference(avatar_split_clause,[],[f5582,f5570,f5080,f4960,f4500,f2662,f39133]) ).
fof(f39133,plain,
( spl31_1314
<=> k2_filter_0(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1314])]) ).
fof(f5582,plain,
( k2_filter_0(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_481
| ~ spl31_497
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5581,f4962]) ).
fof(f5581,plain,
( k18_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_497
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5580,f5439]) ).
fof(f5580,plain,
( k18_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_506 ),
inference(forward_demodulation,[],[f5573,f4502]) ).
fof(f5573,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))))
| ~ spl31_315
| ~ spl31_506 ),
inference(resolution,[],[f5571,f2664]) ).
fof(f39091,plain,
( ~ spl31_1240
| ~ spl31_1241
| ~ spl31_1242
| ~ spl31_1243
| ~ spl31_1244
| ~ spl31_1245
| spl31_1313
| ~ spl31_187
| ~ spl31_273 ),
inference(avatar_split_clause,[],[f2309,f2229,f1659,f39089,f32558,f32554,f32550,f32546,f32542,f32538]) ).
fof(f32538,plain,
( spl31_1240
<=> v1_funct_1(u1_lattices(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1240])]) ).
fof(f32542,plain,
( spl31_1241
<=> v1_funct_2(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1241])]) ).
fof(f32546,plain,
( spl31_1242
<=> m1_relset_1(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1242])]) ).
fof(f32550,plain,
( spl31_1243
<=> v1_funct_1(u2_lattices(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1243])]) ).
fof(f32554,plain,
( spl31_1244
<=> v1_funct_2(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1244])]) ).
fof(f32558,plain,
( spl31_1245
<=> m1_relset_1(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1245])]) ).
fof(f39089,plain,
( spl31_1313
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_struct_0(sK21) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1313])]) ).
fof(f1659,plain,
( spl31_187
<=> ! [X2,X4,X0,X5,X3,X1] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_187])]) ).
fof(f2229,plain,
( spl31_273
<=> k1_lattice2(sK21) = g3_lattices(u1_struct_0(sK21),u1_lattices(sK21),u2_lattices(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_273])]) ).
fof(f2309,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_struct_0(sK21) = X0
| ~ m1_relset_1(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u2_lattices(sK21))
| ~ m1_relset_1(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u1_lattices(sK21)) )
| ~ spl31_187
| ~ spl31_273 ),
inference(superposition,[],[f1660,f2231]) ).
fof(f2231,plain,
( k1_lattice2(sK21) = g3_lattices(u1_struct_0(sK21),u1_lattices(sK21),u2_lattices(sK21))
| ~ spl31_273 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f1660,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f39071,plain,
( ~ spl31_1240
| ~ spl31_1241
| ~ spl31_1242
| ~ spl31_1243
| ~ spl31_1244
| ~ spl31_1245
| spl31_1312
| ~ spl31_188
| ~ spl31_273 ),
inference(avatar_split_clause,[],[f2307,f2229,f1663,f39069,f32558,f32554,f32550,f32546,f32542,f32538]) ).
fof(f39069,plain,
( spl31_1312
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_lattices(sK21) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1312])]) ).
fof(f1663,plain,
( spl31_188
<=> ! [X2,X3,X4,X0,X5,X1] :
( X1 = X4
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_188])]) ).
fof(f2307,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_lattices(sK21) = X1
| ~ m1_relset_1(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u2_lattices(sK21))
| ~ m1_relset_1(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u1_lattices(sK21)) )
| ~ spl31_188
| ~ spl31_273 ),
inference(superposition,[],[f1664,f2231]) ).
fof(f1664,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f39051,plain,
( spl31_234
| spl31_1311
| ~ spl31_129
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4554,f4549,f1173,f39049,f1979]) ).
fof(f1173,plain,
( spl31_129
<=> ! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_129])]) ).
fof(f4554,plain,
( ! [X0] :
( ~ m2_lattice4(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),X0,X0)
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_129
| ~ spl31_452 ),
inference(resolution,[],[f4550,f1174]) ).
fof(f1174,plain,
( ! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0) )
| ~ spl31_129 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f39047,plain,
( ~ spl31_195
| ~ spl31_144
| spl31_1244 ),
inference(avatar_split_clause,[],[f32569,f32554,f1296,f1699]) ).
fof(f1699,plain,
( spl31_195
<=> l2_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_195])]) ).
fof(f1296,plain,
( spl31_144
<=> ! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_144])]) ).
fof(f32569,plain,
( ~ l2_lattices(sK21)
| ~ spl31_144
| spl31_1244 ),
inference(resolution,[],[f32556,f1297]) ).
fof(f1297,plain,
( ! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl31_144 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f32556,plain,
( ~ v1_funct_2(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| spl31_1244 ),
inference(avatar_component_clause,[],[f32554]) ).
fof(f39042,plain,
( ~ spl31_195
| ~ spl31_304
| spl31_1245 ),
inference(avatar_split_clause,[],[f32570,f32558,f2489,f1699]) ).
fof(f2489,plain,
( spl31_304
<=> ! [X0] :
( ~ l2_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_304])]) ).
fof(f32570,plain,
( ~ l2_lattices(sK21)
| ~ spl31_304
| spl31_1245 ),
inference(resolution,[],[f32560,f2490]) ).
fof(f2490,plain,
( ! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl31_304 ),
inference(avatar_component_clause,[],[f2489]) ).
fof(f32560,plain,
( ~ m1_relset_1(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| spl31_1245 ),
inference(avatar_component_clause,[],[f32558]) ).
fof(f39041,plain,
( ~ spl31_190
| ~ spl31_141
| spl31_1241 ),
inference(avatar_split_clause,[],[f32567,f32542,f1283,f1674]) ).
fof(f1674,plain,
( spl31_190
<=> l1_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_190])]) ).
fof(f1283,plain,
( spl31_141
<=> ! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_141])]) ).
fof(f32567,plain,
( ~ l1_lattices(sK21)
| ~ spl31_141
| spl31_1241 ),
inference(resolution,[],[f32544,f1284]) ).
fof(f1284,plain,
( ! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl31_141 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f32544,plain,
( ~ v1_funct_2(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| spl31_1241 ),
inference(avatar_component_clause,[],[f32542]) ).
fof(f39036,plain,
( ~ spl31_190
| ~ spl31_303
| spl31_1242 ),
inference(avatar_split_clause,[],[f32568,f32546,f2485,f1674]) ).
fof(f2485,plain,
( spl31_303
<=> ! [X0] :
( ~ l1_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_303])]) ).
fof(f32568,plain,
( ~ l1_lattices(sK21)
| ~ spl31_303
| spl31_1242 ),
inference(resolution,[],[f32548,f2486]) ).
fof(f2486,plain,
( ! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl31_303 ),
inference(avatar_component_clause,[],[f2485]) ).
fof(f32548,plain,
( ~ m1_relset_1(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| spl31_1242 ),
inference(avatar_component_clause,[],[f32546]) ).
fof(f38813,plain,
( ~ spl31_195
| ~ spl31_70
| spl31_1243 ),
inference(avatar_split_clause,[],[f32566,f32550,f872,f1699]) ).
fof(f872,plain,
( spl31_70
<=> ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_70])]) ).
fof(f32566,plain,
( ~ l2_lattices(sK21)
| ~ spl31_70
| spl31_1243 ),
inference(resolution,[],[f32552,f873]) ).
fof(f873,plain,
( ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl31_70 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f32552,plain,
( ~ v1_funct_1(u2_lattices(sK21))
| spl31_1243 ),
inference(avatar_component_clause,[],[f32550]) ).
fof(f38019,plain,
( ~ spl31_1236
| ~ spl31_1237
| ~ spl31_1238
| ~ spl31_1233
| ~ spl31_1234
| ~ spl31_1235
| spl31_1310
| ~ spl31_187
| ~ spl31_277 ),
inference(avatar_split_clause,[],[f2331,f2253,f1659,f38017,f32507,f32503,f32499,f32519,f32515,f32511]) ).
fof(f32511,plain,
( spl31_1236
<=> v1_funct_1(u1_lattices(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1236])]) ).
fof(f32515,plain,
( spl31_1237
<=> v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1237])]) ).
fof(f32519,plain,
( spl31_1238
<=> m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1238])]) ).
fof(f32499,plain,
( spl31_1233
<=> v1_funct_1(u2_lattices(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1233])]) ).
fof(f32503,plain,
( spl31_1234
<=> v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1234])]) ).
fof(f32507,plain,
( spl31_1235
<=> m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1235])]) ).
fof(f38017,plain,
( spl31_1310
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_struct_0(sK27) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1310])]) ).
fof(f2253,plain,
( spl31_277
<=> k1_lattice2(sK27) = g3_lattices(u1_struct_0(sK27),u1_lattices(sK27),u2_lattices(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_277])]) ).
fof(f2331,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_struct_0(sK27) = X0
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u1_lattices(sK27)) )
| ~ spl31_187
| ~ spl31_277 ),
inference(superposition,[],[f1660,f2255]) ).
fof(f2255,plain,
( k1_lattice2(sK27) = g3_lattices(u1_struct_0(sK27),u1_lattices(sK27),u2_lattices(sK27))
| ~ spl31_277 ),
inference(avatar_component_clause,[],[f2253]) ).
fof(f38015,plain,
( ~ spl31_190
| ~ spl31_68
| spl31_1240 ),
inference(avatar_split_clause,[],[f32565,f32538,f863,f1674]) ).
fof(f863,plain,
( spl31_68
<=> ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_68])]) ).
fof(f32565,plain,
( ~ l1_lattices(sK21)
| ~ spl31_68
| spl31_1240 ),
inference(resolution,[],[f32540,f864]) ).
fof(f864,plain,
( ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl31_68 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f32540,plain,
( ~ v1_funct_1(u1_lattices(sK21))
| spl31_1240 ),
inference(avatar_component_clause,[],[f32538]) ).
fof(f37998,plain,
( ~ spl31_1236
| ~ spl31_1237
| ~ spl31_1238
| ~ spl31_1233
| ~ spl31_1234
| ~ spl31_1235
| spl31_1309
| ~ spl31_188
| ~ spl31_277 ),
inference(avatar_split_clause,[],[f2329,f2253,f1663,f37996,f32507,f32503,f32499,f32519,f32515,f32511]) ).
fof(f37996,plain,
( spl31_1309
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_lattices(sK27) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1309])]) ).
fof(f2329,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_lattices(sK27) = X1
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u1_lattices(sK27)) )
| ~ spl31_188
| ~ spl31_277 ),
inference(superposition,[],[f1664,f2255]) ).
fof(f37978,plain,
( ~ spl31_1236
| ~ spl31_1237
| ~ spl31_1238
| ~ spl31_1233
| ~ spl31_1234
| ~ spl31_1235
| spl31_1308
| ~ spl31_189
| ~ spl31_277 ),
inference(avatar_split_clause,[],[f2327,f2253,f1667,f37976,f32507,f32503,f32499,f32519,f32515,f32511]) ).
fof(f1667,plain,
( spl31_189
<=> ! [X3,X4,X0,X5,X2,X1] :
( X2 = X5
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_189])]) ).
fof(f2327,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u2_lattices(sK27) = X2
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u2_lattices(sK27))
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u1_lattices(sK27)) )
| ~ spl31_189
| ~ spl31_277 ),
inference(superposition,[],[f1668,f2255]) ).
fof(f1668,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f37956,plain,
( ~ spl31_1233
| ~ spl31_1234
| ~ spl31_1235
| ~ spl31_1236
| ~ spl31_1237
| ~ spl31_1238
| spl31_1307
| ~ spl31_187
| ~ spl31_298 ),
inference(avatar_split_clause,[],[f2461,f2452,f1659,f37954,f32519,f32515,f32511,f32507,f32503,f32499]) ).
fof(f37954,plain,
( spl31_1307
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_struct_0(sK27) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1307])]) ).
fof(f2452,plain,
( spl31_298
<=> sK27 = g3_lattices(u1_struct_0(sK27),u2_lattices(sK27),u1_lattices(sK27)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_298])]) ).
fof(f2461,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_struct_0(sK27) = X0
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u1_lattices(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u2_lattices(sK27)) )
| ~ spl31_187
| ~ spl31_298 ),
inference(superposition,[],[f1660,f2454]) ).
fof(f2454,plain,
( sK27 = g3_lattices(u1_struct_0(sK27),u2_lattices(sK27),u1_lattices(sK27))
| ~ spl31_298 ),
inference(avatar_component_clause,[],[f2452]) ).
fof(f37936,plain,
( ~ spl31_1233
| ~ spl31_1234
| ~ spl31_1235
| ~ spl31_1236
| ~ spl31_1237
| ~ spl31_1238
| spl31_1306
| ~ spl31_188
| ~ spl31_298 ),
inference(avatar_split_clause,[],[f2459,f2452,f1663,f37934,f32519,f32515,f32511,f32507,f32503,f32499]) ).
fof(f37934,plain,
( spl31_1306
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u2_lattices(sK27) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1306])]) ).
fof(f2459,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u2_lattices(sK27) = X1
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u1_lattices(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u2_lattices(sK27)) )
| ~ spl31_188
| ~ spl31_298 ),
inference(superposition,[],[f1664,f2454]) ).
fof(f37916,plain,
( ~ spl31_194
| ~ spl31_141
| spl31_1237 ),
inference(avatar_split_clause,[],[f32530,f32515,f1283,f1694]) ).
fof(f1694,plain,
( spl31_194
<=> l1_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_194])]) ).
fof(f32530,plain,
( ~ l1_lattices(sK27)
| ~ spl31_141
| spl31_1237 ),
inference(resolution,[],[f32517,f1284]) ).
fof(f32517,plain,
( ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| spl31_1237 ),
inference(avatar_component_clause,[],[f32515]) ).
fof(f37138,plain,
( spl31_1305
| ~ spl31_409
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4200,f4060,f3885,f37136]) ).
fof(f37136,plain,
( spl31_1305
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1305])]) ).
fof(f3885,plain,
( spl31_409
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_409])]) ).
fof(f4060,plain,
( spl31_421
<=> ! [X2,X0,X1] :
( sK12(a_2_0_filter_2(X0,X1),X2) = sK16(sK12(a_2_0_filter_2(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(a_2_0_filter_2(X0,X1),X2),X2)
| a_2_0_filter_2(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_421])]) ).
fof(f4200,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) )
| ~ spl31_409
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3886]) ).
fof(f3886,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2))) )
| ~ spl31_409 ),
inference(avatar_component_clause,[],[f3885]) ).
fof(f4061,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(a_2_0_filter_2(X0,X1),X2),X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK12(a_2_0_filter_2(X0,X1),X2) = sK16(sK12(a_2_0_filter_2(X0,X1),X2),X0,X1)
| a_2_0_filter_2(X0,X1) = X2 )
| ~ spl31_421 ),
inference(avatar_component_clause,[],[f4060]) ).
fof(f37134,plain,
( spl31_1304
| ~ spl31_408
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4199,f4060,f3881,f37132]) ).
fof(f37132,plain,
( spl31_1304
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1304])]) ).
fof(f3881,plain,
( spl31_408
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_408])]) ).
fof(f4199,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) )
| ~ spl31_408
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3882]) ).
fof(f3882,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2))) )
| ~ spl31_408 ),
inference(avatar_component_clause,[],[f3881]) ).
fof(f37126,plain,
( ~ spl31_194
| ~ spl31_303
| spl31_1238 ),
inference(avatar_split_clause,[],[f32531,f32519,f2485,f1694]) ).
fof(f32531,plain,
( ~ l1_lattices(sK27)
| ~ spl31_303
| spl31_1238 ),
inference(resolution,[],[f32521,f2486]) ).
fof(f32521,plain,
( ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| spl31_1238 ),
inference(avatar_component_clause,[],[f32519]) ).
fof(f37125,plain,
( spl31_1303
| ~ spl31_407
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4193,f4060,f3877,f37123]) ).
fof(f37123,plain,
( spl31_1303
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1303])]) ).
fof(f3877,plain,
( spl31_407
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_407])]) ).
fof(f4193,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) )
| ~ spl31_407
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3878]) ).
fof(f3878,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2))) )
| ~ spl31_407 ),
inference(avatar_component_clause,[],[f3877]) ).
fof(f37121,plain,
( spl31_1302
| ~ spl31_406
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4192,f4060,f3873,f37119]) ).
fof(f37119,plain,
( spl31_1302
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1302])]) ).
fof(f3873,plain,
( spl31_406
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_406])]) ).
fof(f4192,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) )
| ~ spl31_406
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3874]) ).
fof(f3874,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2))) )
| ~ spl31_406 ),
inference(avatar_component_clause,[],[f3873]) ).
fof(f37117,plain,
( spl31_1301
| ~ spl31_409
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4175,f4056,f3885,f37115]) ).
fof(f37115,plain,
( spl31_1301
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1301])]) ).
fof(f4056,plain,
( spl31_420
<=> ! [X2,X0,X1] :
( sK12(X0,a_2_0_filter_2(X1,X2)) = sK16(sK12(X0,a_2_0_filter_2(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,a_2_0_filter_2(X1,X2)),X0)
| a_2_0_filter_2(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_420])]) ).
fof(f4175,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) )
| ~ spl31_409
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3886]) ).
fof(f4057,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X0,a_2_0_filter_2(X1,X2)),X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(X0,a_2_0_filter_2(X1,X2)) = sK16(sK12(X0,a_2_0_filter_2(X1,X2)),X1,X2)
| a_2_0_filter_2(X1,X2) = X0 )
| ~ spl31_420 ),
inference(avatar_component_clause,[],[f4056]) ).
fof(f37113,plain,
( spl31_1300
| ~ spl31_408
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4174,f4056,f3881,f37111]) ).
fof(f37111,plain,
( spl31_1300
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1300])]) ).
fof(f4174,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) )
| ~ spl31_408
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3882]) ).
fof(f37109,plain,
( spl31_1299
| ~ spl31_407
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4168,f4056,f3877,f37107]) ).
fof(f37107,plain,
( spl31_1299
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1299])]) ).
fof(f4168,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) )
| ~ spl31_407
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3878]) ).
fof(f37105,plain,
( spl31_1298
| ~ spl31_406
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4167,f4056,f3873,f37103]) ).
fof(f37103,plain,
( spl31_1298
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1298])]) ).
fof(f4167,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3))) )
| ~ spl31_406
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3874]) ).
fof(f37101,plain,
( spl31_1297
| ~ spl31_409
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4142,f4052,f3885,f37099]) ).
fof(f37099,plain,
( spl31_1297
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1297])]) ).
fof(f4052,plain,
( spl31_419
<=> ! [X2,X0,X1] :
( sK12(a_2_0_filter_0(X0,X1),X2) = sK15(sK12(a_2_0_filter_0(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(a_2_0_filter_0(X0,X1),X2),X2)
| a_2_0_filter_0(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_419])]) ).
fof(f4142,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) )
| ~ spl31_409
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3886]) ).
fof(f4053,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(a_2_0_filter_0(X0,X1),X2),X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK12(a_2_0_filter_0(X0,X1),X2) = sK15(sK12(a_2_0_filter_0(X0,X1),X2),X0,X1)
| a_2_0_filter_0(X0,X1) = X2 )
| ~ spl31_419 ),
inference(avatar_component_clause,[],[f4052]) ).
fof(f37097,plain,
( spl31_1296
| ~ spl31_408
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4141,f4052,f3881,f37095]) ).
fof(f37095,plain,
( spl31_1296
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1296])]) ).
fof(f4141,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3))) )
| ~ spl31_408
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3882]) ).
fof(f37093,plain,
( spl31_1295
| ~ spl31_407
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4135,f4052,f3877,f37091]) ).
fof(f37091,plain,
( spl31_1295
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1295])]) ).
fof(f4135,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) )
| ~ spl31_407
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3878]) ).
fof(f37089,plain,
( ~ spl31_199
| ~ spl31_144
| spl31_1234 ),
inference(avatar_split_clause,[],[f32528,f32503,f1296,f1719]) ).
fof(f1719,plain,
( spl31_199
<=> l2_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_199])]) ).
fof(f32528,plain,
( ~ l2_lattices(sK27)
| ~ spl31_144
| spl31_1234 ),
inference(resolution,[],[f32505,f1297]) ).
fof(f32505,plain,
( ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| spl31_1234 ),
inference(avatar_component_clause,[],[f32503]) ).
fof(f37088,plain,
( spl31_1294
| ~ spl31_406
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4134,f4052,f3873,f37086]) ).
fof(f37086,plain,
( spl31_1294
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1294])]) ).
fof(f4134,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3))) )
| ~ spl31_406
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3874]) ).
fof(f37084,plain,
( spl31_1293
| ~ spl31_409
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4118,f4048,f3885,f37082]) ).
fof(f37082,plain,
( spl31_1293
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1293])]) ).
fof(f4048,plain,
( spl31_418
<=> ! [X2,X0,X1] :
( sK12(X0,a_2_0_filter_0(X1,X2)) = sK15(sK12(X0,a_2_0_filter_0(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,a_2_0_filter_0(X1,X2)),X0)
| a_2_0_filter_0(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_418])]) ).
fof(f4118,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) )
| ~ spl31_409
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3886]) ).
fof(f4049,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X0,a_2_0_filter_0(X1,X2)),X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(X0,a_2_0_filter_0(X1,X2)) = sK15(sK12(X0,a_2_0_filter_0(X1,X2)),X1,X2)
| a_2_0_filter_0(X1,X2) = X0 )
| ~ spl31_418 ),
inference(avatar_component_clause,[],[f4048]) ).
fof(f37080,plain,
( spl31_1292
| ~ spl31_408
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4117,f4048,f3881,f37078]) ).
fof(f37078,plain,
( spl31_1292
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1292])]) ).
fof(f4117,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) )
| ~ spl31_408
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3882]) ).
fof(f37076,plain,
( spl31_1291
| ~ spl31_407
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4111,f4048,f3877,f37074]) ).
fof(f37074,plain,
( spl31_1291
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1291])]) ).
fof(f4111,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) )
| ~ spl31_407
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3878]) ).
fof(f37072,plain,
( spl31_1290
| ~ spl31_406
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4110,f4048,f3873,f37070]) ).
fof(f37070,plain,
( spl31_1290
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1290])]) ).
fof(f4110,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k18_filter_2(k1_lattice2(X2),k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3))) )
| ~ spl31_406
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3874]) ).
fof(f36620,plain,
( ~ spl31_199
| ~ spl31_304
| spl31_1235 ),
inference(avatar_split_clause,[],[f32529,f32507,f2489,f1719]) ).
fof(f32529,plain,
( ~ l2_lattices(sK27)
| ~ spl31_304
| spl31_1235 ),
inference(resolution,[],[f32509,f2490]) ).
fof(f32509,plain,
( ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| spl31_1235 ),
inference(avatar_component_clause,[],[f32507]) ).
fof(f35620,plain,
( ~ spl31_194
| ~ spl31_68
| spl31_1236 ),
inference(avatar_split_clause,[],[f32527,f32511,f863,f1694]) ).
fof(f32527,plain,
( ~ l1_lattices(sK27)
| ~ spl31_68
| spl31_1236 ),
inference(resolution,[],[f32513,f864]) ).
fof(f32513,plain,
( ~ v1_funct_1(u1_lattices(sK27))
| spl31_1236 ),
inference(avatar_component_clause,[],[f32511]) ).
fof(f34620,plain,
( ~ spl31_199
| ~ spl31_70
| spl31_1233 ),
inference(avatar_split_clause,[],[f32526,f32499,f872,f1719]) ).
fof(f32526,plain,
( ~ l2_lattices(sK27)
| ~ spl31_70
| spl31_1233 ),
inference(resolution,[],[f32501,f873]) ).
fof(f32501,plain,
( ~ v1_funct_1(u2_lattices(sK27))
| spl31_1233 ),
inference(avatar_component_clause,[],[f32499]) ).
fof(f34397,plain,
( spl31_1289
| ~ spl31_403
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4198,f4060,f3787,f34395]) ).
fof(f34395,plain,
( spl31_1289
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1289])]) ).
fof(f3787,plain,
( spl31_403
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = a_2_0_filter_0(X1,sK16(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_403])]) ).
fof(f4198,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_403
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3788]) ).
fof(f3788,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = a_2_0_filter_0(X1,sK16(X0,X1,X2)) )
| ~ spl31_403 ),
inference(avatar_component_clause,[],[f3787]) ).
fof(f34393,plain,
( spl31_1288
| ~ spl31_402
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4197,f4060,f3783,f34391]) ).
fof(f34391,plain,
( spl31_1288
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1288])]) ).
fof(f3783,plain,
( spl31_402
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = a_2_0_filter_2(X1,sK16(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_402])]) ).
fof(f4197,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_402
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3784]) ).
fof(f3784,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = a_2_0_filter_2(X1,sK16(X0,X1,X2)) )
| ~ spl31_402 ),
inference(avatar_component_clause,[],[f3783]) ).
fof(f34389,plain,
( spl31_1287
| ~ spl31_401
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4196,f4060,f3779,f34387]) ).
fof(f34387,plain,
( spl31_1287
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1287])]) ).
fof(f3779,plain,
( spl31_401
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = k2_filter_2(X1,sK16(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_401])]) ).
fof(f4196,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_401
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3780]) ).
fof(f3780,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = k2_filter_2(X1,sK16(X0,X1,X2)) )
| ~ spl31_401 ),
inference(avatar_component_clause,[],[f3779]) ).
fof(f34385,plain,
( spl31_1286
| ~ spl31_400
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4191,f4060,f3775,f34383]) ).
fof(f34383,plain,
( spl31_1286
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1286])]) ).
fof(f3775,plain,
( spl31_400
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = a_2_0_filter_0(X1,sK15(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_400])]) ).
fof(f4191,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_400
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3776]) ).
fof(f3776,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = a_2_0_filter_0(X1,sK15(X0,X1,X2)) )
| ~ spl31_400 ),
inference(avatar_component_clause,[],[f3775]) ).
fof(f34381,plain,
( spl31_1285
| ~ spl31_398
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4190,f4060,f3765,f34379]) ).
fof(f34379,plain,
( spl31_1285
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1285])]) ).
fof(f3765,plain,
( spl31_398
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = a_2_0_filter_2(X1,sK15(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_398])]) ).
fof(f4190,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_398
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3766]) ).
fof(f3766,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = a_2_0_filter_2(X1,sK15(X0,X1,X2)) )
| ~ spl31_398 ),
inference(avatar_component_clause,[],[f3765]) ).
fof(f34377,plain,
( spl31_1284
| ~ spl31_397
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4189,f4060,f3761,f34375]) ).
fof(f34375,plain,
( spl31_1284
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1284])]) ).
fof(f3761,plain,
( spl31_397
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = k2_filter_2(X1,sK15(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_397])]) ).
fof(f4189,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_397
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3762]) ).
fof(f3762,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = k2_filter_2(X1,sK15(X0,X1,X2)) )
| ~ spl31_397 ),
inference(avatar_component_clause,[],[f3761]) ).
fof(f34373,plain,
( spl31_1283
| ~ spl31_403
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4173,f4056,f3787,f34371]) ).
fof(f34371,plain,
( spl31_1283
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1283])]) ).
fof(f4173,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_403
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3788]) ).
fof(f34369,plain,
( ~ spl31_193
| ~ spl31_68
| spl31_1230 ),
inference(avatar_split_clause,[],[f32496,f32484,f863,f1689]) ).
fof(f1689,plain,
( spl31_193
<=> l1_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_193])]) ).
fof(f32484,plain,
( spl31_1230
<=> v1_funct_1(u1_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1230])]) ).
fof(f32496,plain,
( ~ l1_lattices(sK26)
| ~ spl31_68
| spl31_1230 ),
inference(resolution,[],[f32486,f864]) ).
fof(f32486,plain,
( ~ v1_funct_1(u1_lattices(sK26))
| spl31_1230 ),
inference(avatar_component_clause,[],[f32484]) ).
fof(f34368,plain,
( spl31_1282
| ~ spl31_402
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4172,f4056,f3783,f34366]) ).
fof(f34366,plain,
( spl31_1282
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1282])]) ).
fof(f4172,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_402
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3784]) ).
fof(f34364,plain,
( spl31_1281
| ~ spl31_401
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4171,f4056,f3779,f34362]) ).
fof(f34362,plain,
( spl31_1281
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1281])]) ).
fof(f4171,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_401
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3780]) ).
fof(f34360,plain,
( spl31_1280
| ~ spl31_400
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4166,f4056,f3775,f34358]) ).
fof(f34358,plain,
( spl31_1280
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1280])]) ).
fof(f4166,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_400
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3776]) ).
fof(f34356,plain,
( spl31_1279
| ~ spl31_398
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4165,f4056,f3765,f34354]) ).
fof(f34354,plain,
( spl31_1279
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1279])]) ).
fof(f4165,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_398
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3766]) ).
fof(f34352,plain,
( spl31_1278
| ~ spl31_397
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4164,f4056,f3761,f34350]) ).
fof(f34350,plain,
( spl31_1278
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1278])]) ).
fof(f4164,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_397
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3762]) ).
fof(f34348,plain,
( spl31_1277
| ~ spl31_403
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4140,f4052,f3787,f34346]) ).
fof(f34346,plain,
( spl31_1277
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1277])]) ).
fof(f4140,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_403
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3788]) ).
fof(f34344,plain,
( spl31_1276
| ~ spl31_402
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4139,f4052,f3783,f34342]) ).
fof(f34342,plain,
( spl31_1276
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1276])]) ).
fof(f4139,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_402
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3784]) ).
fof(f34340,plain,
( spl31_1275
| ~ spl31_401
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4138,f4052,f3779,f34338]) ).
fof(f34338,plain,
( spl31_1275
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1275])]) ).
fof(f4138,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_401
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3780]) ).
fof(f34336,plain,
( spl31_1274
| ~ spl31_400
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4133,f4052,f3775,f34334]) ).
fof(f34334,plain,
( spl31_1274
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1274])]) ).
fof(f4133,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_400
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3776]) ).
fof(f34332,plain,
( ~ spl31_198
| ~ spl31_70
| spl31_1228 ),
inference(avatar_split_clause,[],[f32495,f32476,f872,f1714]) ).
fof(f1714,plain,
( spl31_198
<=> l2_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_198])]) ).
fof(f32476,plain,
( spl31_1228
<=> v1_funct_1(u2_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1228])]) ).
fof(f32495,plain,
( ~ l2_lattices(sK26)
| ~ spl31_70
| spl31_1228 ),
inference(resolution,[],[f32478,f873]) ).
fof(f32478,plain,
( ~ v1_funct_1(u2_lattices(sK26))
| spl31_1228 ),
inference(avatar_component_clause,[],[f32476]) ).
fof(f34331,plain,
( spl31_1273
| ~ spl31_398
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4132,f4052,f3765,f34329]) ).
fof(f34329,plain,
( spl31_1273
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1273])]) ).
fof(f4132,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_398
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3766]) ).
fof(f34327,plain,
( spl31_1272
| ~ spl31_397
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4131,f4052,f3761,f34325]) ).
fof(f34325,plain,
( spl31_1272
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1272])]) ).
fof(f4131,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_397
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3762]) ).
fof(f34323,plain,
( spl31_1271
| ~ spl31_403
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4116,f4048,f3787,f34321]) ).
fof(f34321,plain,
( spl31_1271
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1271])]) ).
fof(f4116,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_403
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3788]) ).
fof(f34319,plain,
( spl31_1270
| ~ spl31_402
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4115,f4048,f3783,f34317]) ).
fof(f34317,plain,
( spl31_1270
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1270])]) ).
fof(f4115,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_402
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3784]) ).
fof(f34315,plain,
( spl31_1269
| ~ spl31_401
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4114,f4048,f3779,f34313]) ).
fof(f34313,plain,
( spl31_1269
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1269])]) ).
fof(f4114,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_401
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3780]) ).
fof(f34311,plain,
( spl31_1268
| ~ spl31_400
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4109,f4048,f3775,f34309]) ).
fof(f34309,plain,
( spl31_1268
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1268])]) ).
fof(f4109,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_400
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3776]) ).
fof(f34307,plain,
( spl31_1267
| ~ spl31_398
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4108,f4048,f3765,f34305]) ).
fof(f34305,plain,
( spl31_1267
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1267])]) ).
fof(f4108,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k18_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = a_2_0_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_398
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3766]) ).
fof(f34303,plain,
( spl31_1266
| ~ spl31_397
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4107,f4048,f3761,f34301]) ).
fof(f34301,plain,
( spl31_1266
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1266])]) ).
fof(f4107,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k2_filter_0(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) = k2_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_397
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3762]) ).
fof(f34188,plain,
( ~ spl31_192
| ~ spl31_68
| spl31_1225 ),
inference(avatar_split_clause,[],[f32474,f32462,f863,f1684]) ).
fof(f1684,plain,
( spl31_192
<=> l1_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_192])]) ).
fof(f32462,plain,
( spl31_1225
<=> v1_funct_1(u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1225])]) ).
fof(f32474,plain,
( ~ l1_lattices(sK25)
| ~ spl31_68
| spl31_1225 ),
inference(resolution,[],[f32464,f864]) ).
fof(f32464,plain,
( ~ v1_funct_1(u1_lattices(sK25))
| spl31_1225 ),
inference(avatar_component_clause,[],[f32462]) ).
fof(f33394,plain,
( ~ spl31_1219
| ~ spl31_1220
| ~ spl31_1221
| ~ spl31_1216
| ~ spl31_1217
| ~ spl31_1218
| spl31_1265
| ~ spl31_187
| ~ spl31_274 ),
inference(avatar_split_clause,[],[f2315,f2234,f1659,f33392,f32427,f32423,f32419,f32439,f32435,f32431]) ).
fof(f32431,plain,
( spl31_1219
<=> v1_funct_1(u1_lattices(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1219])]) ).
fof(f32435,plain,
( spl31_1220
<=> v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1220])]) ).
fof(f32439,plain,
( spl31_1221
<=> m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1221])]) ).
fof(f32419,plain,
( spl31_1216
<=> v1_funct_1(u2_lattices(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1216])]) ).
fof(f32423,plain,
( spl31_1217
<=> v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1217])]) ).
fof(f32427,plain,
( spl31_1218
<=> m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1218])]) ).
fof(f33392,plain,
( spl31_1265
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_struct_0(sK24) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1265])]) ).
fof(f2234,plain,
( spl31_274
<=> k1_lattice2(sK24) = g3_lattices(u1_struct_0(sK24),u1_lattices(sK24),u2_lattices(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_274])]) ).
fof(f2315,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u2_lattices(sK24))
| ~ m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_lattices(sK24)) )
| ~ spl31_187
| ~ spl31_274 ),
inference(superposition,[],[f1660,f2236]) ).
fof(f2236,plain,
( k1_lattice2(sK24) = g3_lattices(u1_struct_0(sK24),u1_lattices(sK24),u2_lattices(sK24))
| ~ spl31_274 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f33390,plain,
( ~ spl31_197
| ~ spl31_70
| spl31_1223 ),
inference(avatar_split_clause,[],[f32473,f32454,f872,f1709]) ).
fof(f1709,plain,
( spl31_197
<=> l2_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_197])]) ).
fof(f32454,plain,
( spl31_1223
<=> v1_funct_1(u2_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1223])]) ).
fof(f32473,plain,
( ~ l2_lattices(sK25)
| ~ spl31_70
| spl31_1223 ),
inference(resolution,[],[f32456,f873]) ).
fof(f32456,plain,
( ~ v1_funct_1(u2_lattices(sK25))
| spl31_1223 ),
inference(avatar_component_clause,[],[f32454]) ).
fof(f33373,plain,
( ~ spl31_1219
| ~ spl31_1220
| ~ spl31_1221
| ~ spl31_1216
| ~ spl31_1217
| ~ spl31_1218
| spl31_1264
| ~ spl31_188
| ~ spl31_274 ),
inference(avatar_split_clause,[],[f2313,f2234,f1663,f33371,f32427,f32423,f32419,f32439,f32435,f32431]) ).
fof(f33371,plain,
( spl31_1264
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_lattices(sK24) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1264])]) ).
fof(f2313,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_lattices(sK24) = X1
| ~ m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u2_lattices(sK24))
| ~ m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_lattices(sK24)) )
| ~ spl31_188
| ~ spl31_274 ),
inference(superposition,[],[f1664,f2236]) ).
fof(f33353,plain,
( ~ spl31_1219
| ~ spl31_1220
| ~ spl31_1221
| ~ spl31_1216
| ~ spl31_1217
| ~ spl31_1218
| spl31_1263
| ~ spl31_189
| ~ spl31_274 ),
inference(avatar_split_clause,[],[f2311,f2234,f1667,f33351,f32427,f32423,f32419,f32439,f32435,f32431]) ).
fof(f2311,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u2_lattices(sK24) = X2
| ~ m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u2_lattices(sK24))
| ~ m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_lattices(sK24)) )
| ~ spl31_189
| ~ spl31_274 ),
inference(superposition,[],[f1668,f2236]) ).
fof(f33331,plain,
( ~ spl31_1216
| ~ spl31_1217
| ~ spl31_1218
| ~ spl31_1219
| ~ spl31_1220
| ~ spl31_1221
| spl31_1262
| ~ spl31_187
| ~ spl31_293 ),
inference(avatar_split_clause,[],[f2414,f2405,f1659,f33329,f32439,f32435,f32431,f32427,f32423,f32419]) ).
fof(f33329,plain,
( spl31_1262
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_struct_0(sK24) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1262])]) ).
fof(f2405,plain,
( spl31_293
<=> sK24 = g3_lattices(u1_struct_0(sK24),u2_lattices(sK24),u1_lattices(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_293])]) ).
fof(f2414,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_lattices(sK24))
| ~ m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u2_lattices(sK24)) )
| ~ spl31_187
| ~ spl31_293 ),
inference(superposition,[],[f1660,f2407]) ).
fof(f2407,plain,
( sK24 = g3_lattices(u1_struct_0(sK24),u2_lattices(sK24),u1_lattices(sK24))
| ~ spl31_293 ),
inference(avatar_component_clause,[],[f2405]) ).
fof(f33311,plain,
( ~ spl31_1216
| ~ spl31_1217
| ~ spl31_1218
| ~ spl31_1219
| ~ spl31_1220
| ~ spl31_1221
| spl31_1261
| ~ spl31_188
| ~ spl31_293 ),
inference(avatar_split_clause,[],[f2412,f2405,f1663,f33309,f32439,f32435,f32431,f32427,f32423,f32419]) ).
fof(f33309,plain,
( spl31_1261
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u2_lattices(sK24) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1261])]) ).
fof(f2412,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u2_lattices(sK24) = X1
| ~ m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_lattices(sK24))
| ~ m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u2_lattices(sK24)) )
| ~ spl31_188
| ~ spl31_293 ),
inference(superposition,[],[f1664,f2407]) ).
fof(f33291,plain,
( ~ spl31_191
| ~ spl31_141
| spl31_1220 ),
inference(avatar_split_clause,[],[f32450,f32435,f1283,f1679]) ).
fof(f1679,plain,
( spl31_191
<=> l1_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_191])]) ).
fof(f32450,plain,
( ~ l1_lattices(sK24)
| ~ spl31_141
| spl31_1220 ),
inference(resolution,[],[f32437,f1284]) ).
fof(f32437,plain,
( ~ v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| spl31_1220 ),
inference(avatar_component_clause,[],[f32435]) ).
fof(f33290,plain,
( spl31_1260
| ~ spl31_393
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4195,f4060,f3653,f33288]) ).
fof(f33288,plain,
( spl31_1260
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1260])]) ).
fof(f3653,plain,
( spl31_393
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,X2) = k5_filter_2(X1,sK16(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_393])]) ).
fof(f4195,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_393
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3654]) ).
fof(f3654,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,X2) = k5_filter_2(X1,sK16(X0,X1,X2)) )
| ~ spl31_393 ),
inference(avatar_component_clause,[],[f3653]) ).
fof(f33286,plain,
( spl31_1259
| ~ spl31_392
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4188,f4060,f3649,f33284]) ).
fof(f33284,plain,
( spl31_1259
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1259])]) ).
fof(f3649,plain,
( spl31_392
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,X2) = k5_filter_2(X1,sK15(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_392])]) ).
fof(f4188,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)) = sK16(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_2(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_392
| ~ spl31_421 ),
inference(resolution,[],[f4061,f3650]) ).
fof(f3650,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,X2) = k5_filter_2(X1,sK15(X0,X1,X2)) )
| ~ spl31_392 ),
inference(avatar_component_clause,[],[f3649]) ).
fof(f33282,plain,
( spl31_1258
| ~ spl31_393
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4170,f4056,f3653,f33280]) ).
fof(f33280,plain,
( spl31_1258
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1258])]) ).
fof(f4170,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_393
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3654]) ).
fof(f33278,plain,
( spl31_1257
| ~ spl31_392
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4163,f4056,f3649,f33276]) ).
fof(f33276,plain,
( spl31_1257
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1257])]) ).
fof(f4163,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)) )
| ~ spl31_392
| ~ spl31_420 ),
inference(resolution,[],[f4057,f3650]) ).
fof(f33274,plain,
( spl31_1256
| ~ spl31_393
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4137,f4052,f3653,f33272]) ).
fof(f33272,plain,
( spl31_1256
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1256])]) ).
fof(f4137,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)) )
| ~ spl31_393
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3654]) ).
fof(f33270,plain,
( spl31_1255
| ~ spl31_392
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4130,f4052,f3649,f33268]) ).
fof(f33268,plain,
( spl31_1255
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1255])]) ).
fof(f4130,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_0(X2,X3)),X2,X3)) )
| ~ spl31_392
| ~ spl31_419 ),
inference(resolution,[],[f4053,f3650]) ).
fof(f33266,plain,
( spl31_1254
| ~ spl31_393
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4113,f4048,f3653,f33264]) ).
fof(f33264,plain,
( spl31_1254
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1254])]) ).
fof(f4113,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3) = k5_filter_2(X2,sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_393
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3654]) ).
fof(f33262,plain,
( spl31_1253
| ~ spl31_392
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4106,f4048,f3649,f33260]) ).
fof(f33260,plain,
( spl31_1253
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1253])]) ).
fof(f4106,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3) = k5_filter_2(X2,sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)) )
| ~ spl31_392
| ~ spl31_418 ),
inference(resolution,[],[f4049,f3650]) ).
fof(f33143,plain,
( ~ spl31_191
| ~ spl31_303
| spl31_1221 ),
inference(avatar_split_clause,[],[f32452,f32439,f2485,f1679]) ).
fof(f32452,plain,
( ~ l1_lattices(sK24)
| ~ spl31_303
| spl31_1221 ),
inference(resolution,[],[f32441,f2486]) ).
fof(f32441,plain,
( ~ m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| spl31_1221 ),
inference(avatar_component_clause,[],[f32439]) ).
fof(f32809,plain,
( spl31_1252
| ~ spl31_173
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4169,f4056,f1546,f32807]) ).
fof(f32807,plain,
( spl31_1252
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1252])]) ).
fof(f4169,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = a_2_0_filter_2(X2,X3)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_2(X1,X0)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_173
| ~ spl31_420 ),
inference(resolution,[],[f4057,f1547]) ).
fof(f32805,plain,
( spl31_1251
| ~ spl31_173
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4136,f4052,f1546,f32803]) ).
fof(f32803,plain,
( spl31_1251
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1251])]) ).
fof(f4136,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK15(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)) = sK16(sK12(a_2_0_filter_0(X1,X0),a_2_0_filter_2(X2,X3)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_173
| ~ spl31_419 ),
inference(resolution,[],[f4053,f1547]) ).
fof(f32801,plain,
( spl31_1250
| ~ spl31_173
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4112,f4048,f1546,f32799]) ).
fof(f32799,plain,
( spl31_1250
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1250])]) ).
fof(f4112,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_2(X2,X3)
| sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)) = sK16(sK12(a_2_0_filter_2(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_173
| ~ spl31_418 ),
inference(resolution,[],[f4049,f1547]) ).
fof(f32797,plain,
( spl31_1249
| ~ spl31_172
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4105,f4048,f1542,f32795]) ).
fof(f32795,plain,
( spl31_1249
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1249])]) ).
fof(f4105,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = a_2_0_filter_0(X2,X3)
| sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)) = sK15(sK12(a_2_0_filter_0(X2,X3),a_2_0_filter_0(X1,X0)),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_172
| ~ spl31_418 ),
inference(resolution,[],[f4049,f1543]) ).
fof(f32579,plain,
( ~ spl31_196
| ~ spl31_144
| spl31_1217 ),
inference(avatar_split_clause,[],[f32448,f32423,f1296,f1704]) ).
fof(f1704,plain,
( spl31_196
<=> l2_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_196])]) ).
fof(f32448,plain,
( ~ l2_lattices(sK24)
| ~ spl31_144
| spl31_1217 ),
inference(resolution,[],[f32425,f1297]) ).
fof(f32425,plain,
( ~ v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| spl31_1217 ),
inference(avatar_component_clause,[],[f32423]) ).
fof(f32578,plain,
( spl31_1248
| ~ spl31_166
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4083,f4044,f1457,f32576]) ).
fof(f32576,plain,
( spl31_1248
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = k18_filter_2(k1_lattice2(k1_lattice2(k1_lattice2(X0))),k5_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1248])]) ).
fof(f4044,plain,
( spl31_417
<=> ! [X0,X1] :
( k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_417])]) ).
fof(f4083,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = k18_filter_2(k1_lattice2(k1_lattice2(k1_lattice2(X0))),k5_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_417 ),
inference(resolution,[],[f4045,f1458]) ).
fof(f4045,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_417 ),
inference(avatar_component_clause,[],[f4044]) ).
fof(f32574,plain,
( spl31_1247
| ~ spl31_166
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4064,f4040,f1457,f32572]) ).
fof(f32572,plain,
( spl31_1247
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = k2_filter_2(k1_lattice2(k1_lattice2(k1_lattice2(X0))),k5_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1247])]) ).
fof(f4040,plain,
( spl31_416
<=> ! [X0,X1] :
( k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_416])]) ).
fof(f4064,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = k2_filter_2(k1_lattice2(k1_lattice2(k1_lattice2(X0))),k5_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_416 ),
inference(resolution,[],[f4041,f1458]) ).
fof(f4041,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_416 ),
inference(avatar_component_clause,[],[f4040]) ).
fof(f32564,plain,
( ~ spl31_1240
| ~ spl31_1241
| ~ spl31_1242
| ~ spl31_1243
| ~ spl31_1244
| ~ spl31_1245
| spl31_1246
| ~ spl31_189
| ~ spl31_273 ),
inference(avatar_split_clause,[],[f2305,f2229,f1667,f32562,f32558,f32554,f32550,f32546,f32542,f32538]) ).
fof(f2305,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u2_lattices(sK21) = X2
| ~ m1_relset_1(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u2_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u2_lattices(sK21))
| ~ m1_relset_1(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_2(u1_lattices(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21))
| ~ v1_funct_1(u1_lattices(sK21)) )
| ~ spl31_189
| ~ spl31_273 ),
inference(superposition,[],[f1668,f2231]) ).
fof(f32532,plain,
( ~ spl31_196
| ~ spl31_304
| spl31_1218 ),
inference(avatar_split_clause,[],[f32449,f32427,f2489,f1704]) ).
fof(f32449,plain,
( ~ l2_lattices(sK24)
| ~ spl31_304
| spl31_1218 ),
inference(resolution,[],[f32429,f2490]) ).
fof(f32429,plain,
( ~ m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| spl31_1218 ),
inference(avatar_component_clause,[],[f32427]) ).
fof(f32525,plain,
( ~ spl31_1233
| ~ spl31_1234
| ~ spl31_1235
| ~ spl31_1236
| ~ spl31_1237
| ~ spl31_1238
| spl31_1239
| ~ spl31_189
| ~ spl31_298 ),
inference(avatar_split_clause,[],[f2457,f2452,f1667,f32523,f32519,f32515,f32511,f32507,f32503,f32499]) ).
fof(f2457,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_lattices(sK27) = X2
| ~ m1_relset_1(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u1_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u1_lattices(sK27))
| ~ m1_relset_1(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_2(u2_lattices(sK27),k2_zfmisc_1(u1_struct_0(sK27),u1_struct_0(sK27)),u1_struct_0(sK27))
| ~ v1_funct_1(u2_lattices(sK27)) )
| ~ spl31_189
| ~ spl31_298 ),
inference(superposition,[],[f1668,f2454]) ).
fof(f32497,plain,
( ~ spl31_191
| ~ spl31_68
| spl31_1219 ),
inference(avatar_split_clause,[],[f32447,f32431,f863,f1679]) ).
fof(f32447,plain,
( ~ l1_lattices(sK24)
| ~ spl31_68
| spl31_1219 ),
inference(resolution,[],[f32433,f864]) ).
fof(f32433,plain,
( ~ v1_funct_1(u1_lattices(sK24))
| spl31_1219 ),
inference(avatar_component_clause,[],[f32431]) ).
fof(f32494,plain,
( ~ spl31_1228
| ~ spl31_560
| ~ spl31_1229
| ~ spl31_1230
| ~ spl31_556
| ~ spl31_1231
| spl31_1232
| ~ spl31_189
| ~ spl31_297 ),
inference(avatar_split_clause,[],[f2446,f2441,f1667,f32492,f32488,f6193,f32484,f32480,f6219,f32476]) ).
fof(f6219,plain,
( spl31_560
<=> v1_funct_2(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_560])]) ).
fof(f32480,plain,
( spl31_1229
<=> m1_relset_1(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1229])]) ).
fof(f6193,plain,
( spl31_556
<=> v1_funct_2(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_556])]) ).
fof(f32488,plain,
( spl31_1231
<=> m1_relset_1(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1231])]) ).
fof(f32492,plain,
( spl31_1232
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| u1_lattices(sK26) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1232])]) ).
fof(f2441,plain,
( spl31_297
<=> sK26 = g3_lattices(k1_filter_2(sK26),u2_lattices(sK26),u1_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_297])]) ).
fof(f2446,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| u1_lattices(sK26) = X2
| ~ m1_relset_1(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ v1_funct_2(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ v1_funct_1(u1_lattices(sK26))
| ~ m1_relset_1(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ v1_funct_2(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ v1_funct_1(u2_lattices(sK26)) )
| ~ spl31_189
| ~ spl31_297 ),
inference(superposition,[],[f1668,f2443]) ).
fof(f2443,plain,
( sK26 = g3_lattices(k1_filter_2(sK26),u2_lattices(sK26),u1_lattices(sK26))
| ~ spl31_297 ),
inference(avatar_component_clause,[],[f2441]) ).
fof(f32472,plain,
( ~ spl31_1223
| ~ spl31_552
| ~ spl31_1224
| ~ spl31_1225
| ~ spl31_548
| ~ spl31_1226
| spl31_1227
| ~ spl31_189
| ~ spl31_295 ),
inference(avatar_split_clause,[],[f2428,f2423,f1667,f32470,f32466,f6141,f32462,f32458,f6167,f32454]) ).
fof(f6167,plain,
( spl31_552
<=> v1_funct_2(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_552])]) ).
fof(f32458,plain,
( spl31_1224
<=> m1_relset_1(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1224])]) ).
fof(f6141,plain,
( spl31_548
<=> v1_funct_2(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_548])]) ).
fof(f32466,plain,
( spl31_1226
<=> m1_relset_1(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1226])]) ).
fof(f32470,plain,
( spl31_1227
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| u1_lattices(sK25) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1227])]) ).
fof(f2423,plain,
( spl31_295
<=> sK25 = g3_lattices(k1_filter_2(sK25),u2_lattices(sK25),u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_295])]) ).
fof(f2428,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| u1_lattices(sK25) = X2
| ~ m1_relset_1(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ v1_funct_2(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ v1_funct_1(u1_lattices(sK25))
| ~ m1_relset_1(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ v1_funct_2(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ v1_funct_1(u2_lattices(sK25)) )
| ~ spl31_189
| ~ spl31_295 ),
inference(superposition,[],[f1668,f2425]) ).
fof(f2425,plain,
( sK25 = g3_lattices(k1_filter_2(sK25),u2_lattices(sK25),u1_lattices(sK25))
| ~ spl31_295 ),
inference(avatar_component_clause,[],[f2423]) ).
fof(f32451,plain,
( ~ spl31_196
| ~ spl31_70
| spl31_1216 ),
inference(avatar_split_clause,[],[f32446,f32419,f872,f1704]) ).
fof(f32446,plain,
( ~ l2_lattices(sK24)
| ~ spl31_70
| spl31_1216 ),
inference(resolution,[],[f32421,f873]) ).
fof(f32421,plain,
( ~ v1_funct_1(u2_lattices(sK24))
| spl31_1216 ),
inference(avatar_component_clause,[],[f32419]) ).
fof(f32445,plain,
( ~ spl31_1216
| ~ spl31_1217
| ~ spl31_1218
| ~ spl31_1219
| ~ spl31_1220
| ~ spl31_1221
| spl31_1222
| ~ spl31_189
| ~ spl31_293 ),
inference(avatar_split_clause,[],[f2410,f2405,f1667,f32443,f32439,f32435,f32431,f32427,f32423,f32419]) ).
fof(f2410,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_lattices(sK24) = X2
| ~ m1_relset_1(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u1_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u1_lattices(sK24))
| ~ m1_relset_1(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_2(u2_lattices(sK24),k2_zfmisc_1(u1_struct_0(sK24),u1_struct_0(sK24)),u1_struct_0(sK24))
| ~ v1_funct_1(u2_lattices(sK24)) )
| ~ spl31_189
| ~ spl31_293 ),
inference(superposition,[],[f1668,f2407]) ).
fof(f32096,plain,
( spl31_1215
| ~ spl31_166
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3985,f3943,f1457,f32094]) ).
fof(f32094,plain,
( spl31_1215
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = a_2_0_filter_0(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1215])]) ).
fof(f3943,plain,
( spl31_412
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0)) = a_2_0_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_412])]) ).
fof(f3985,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = a_2_0_filter_0(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_412 ),
inference(resolution,[],[f3944,f1458]) ).
fof(f3944,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0)) = a_2_0_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_412 ),
inference(avatar_component_clause,[],[f3943]) ).
fof(f32068,plain,
( spl31_1214
| ~ spl31_166
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3966,f3939,f1457,f32066]) ).
fof(f32066,plain,
( spl31_1214
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = a_2_0_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1214])]) ).
fof(f3939,plain,
( spl31_411
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0)) = a_2_0_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_411])]) ).
fof(f3966,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = a_2_0_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_411 ),
inference(resolution,[],[f3940,f1458]) ).
fof(f3940,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0)) = a_2_0_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_411 ),
inference(avatar_component_clause,[],[f3939]) ).
fof(f32064,plain,
( spl31_1213
| ~ spl31_166
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3947,f3935,f1457,f32062]) ).
fof(f32062,plain,
( spl31_1213
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = k2_filter_0(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1213])]) ).
fof(f3935,plain,
( spl31_410
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_410])]) ).
fof(f3947,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))) = k2_filter_0(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_410 ),
inference(resolution,[],[f3936,f1458]) ).
fof(f3936,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_410 ),
inference(avatar_component_clause,[],[f3935]) ).
fof(f31633,plain,
( spl31_1212
| ~ spl31_309
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4087,f4044,f2572,f31631]) ).
fof(f31631,plain,
( spl31_1212
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1212])]) ).
fof(f4087,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_417 ),
inference(resolution,[],[f4045,f2573]) ).
fof(f31629,plain,
( spl31_1211
| ~ spl31_307
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4086,f4044,f2564,f31627]) ).
fof(f31627,plain,
( spl31_1211
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1211])]) ).
fof(f4086,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_417 ),
inference(resolution,[],[f4045,f2565]) ).
fof(f31625,plain,
( spl31_1210
| ~ spl31_309
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4068,f4040,f2572,f31623]) ).
fof(f31623,plain,
( spl31_1210
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1210])]) ).
fof(f4068,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_416 ),
inference(resolution,[],[f4041,f2573]) ).
fof(f31621,plain,
( spl31_234
| spl31_1209
| ~ spl31_129
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4540,f4535,f1173,f31619,f1979]) ).
fof(f4540,plain,
( ! [X0] :
( ~ m1_filter_0(X0,sK2)
| r1_filter_2(k1_filter_2(sK2),X0,X0)
| v1_xboole_0(k1_filter_2(sK2)) )
| ~ spl31_129
| ~ spl31_451 ),
inference(resolution,[],[f4536,f1174]) ).
fof(f31617,plain,
( spl31_1208
| ~ spl31_307
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4067,f4040,f2564,f31615]) ).
fof(f31615,plain,
( spl31_1208
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1208])]) ).
fof(f4067,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_416 ),
inference(resolution,[],[f4041,f2565]) ).
fof(f31613,plain,
( spl31_1207
| ~ spl31_166
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3854,f3850,f1457,f31611]) ).
fof(f31611,plain,
( spl31_1207
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k5_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1207])]) ).
fof(f3850,plain,
( spl31_405
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k5_filter_2(X1,X0) = k5_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_405])]) ).
fof(f3854,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k5_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(k1_lattice2(X0)))
| v3_struct_0(k1_lattice2(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_405 ),
inference(resolution,[],[f3851,f1458]) ).
fof(f3851,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k5_filter_2(X1,X0) = k5_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_405 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f31217,plain,
( spl31_1206
| ~ spl31_175
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4095,f4044,f1558,f31215]) ).
fof(f31215,plain,
( spl31_1206
<=> ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1206])]) ).
fof(f1558,plain,
( spl31_175
<=> ! [X2,X0,X1] :
( m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_175])]) ).
fof(f4095,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_417 ),
inference(duplicate_literal_removal,[],[f4088]) ).
fof(f4088,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_417 ),
inference(resolution,[],[f4045,f1559]) ).
fof(f1559,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_175 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f31213,plain,
( spl31_1205
| ~ spl31_177
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4094,f4044,f1566,f31211]) ).
fof(f31211,plain,
( spl31_1205
<=> ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1205])]) ).
fof(f1566,plain,
( spl31_177
<=> ! [X2,X0,X1] :
( m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_177])]) ).
fof(f4094,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_417 ),
inference(duplicate_literal_removal,[],[f4089]) ).
fof(f4089,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_417 ),
inference(resolution,[],[f4045,f1567]) ).
fof(f1567,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_177 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f31209,plain,
( spl31_1204
| ~ spl31_175
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4076,f4040,f1558,f31207]) ).
fof(f31207,plain,
( spl31_1204
<=> ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1204])]) ).
fof(f4076,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_416 ),
inference(duplicate_literal_removal,[],[f4069]) ).
fof(f4069,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_416 ),
inference(resolution,[],[f4041,f1559]) ).
fof(f31205,plain,
( spl31_1203
| ~ spl31_177
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4075,f4040,f1566,f31203]) ).
fof(f31203,plain,
( spl31_1203
<=> ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1203])]) ).
fof(f4075,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_416 ),
inference(duplicate_literal_removal,[],[f4070]) ).
fof(f4070,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_416 ),
inference(resolution,[],[f4041,f1567]) ).
fof(f29932,plain,
( spl31_1202
| ~ spl31_427
| ~ spl31_460
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f6860,f5080,f4792,f4229,f29929]) ).
fof(f29929,plain,
( spl31_1202
<=> sK10(sK4(sK2)) = k5_filter_2(k1_lattice2(sK2),sK10(sK4(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1202])]) ).
fof(f4229,plain,
( spl31_427
<=> m1_subset_1(sK10(sK4(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_427])]) ).
fof(f6860,plain,
( sK10(sK4(sK2)) = k5_filter_2(k1_lattice2(sK2),sK10(sK4(sK2)))
| ~ spl31_427
| ~ spl31_460
| ~ spl31_497 ),
inference(forward_demodulation,[],[f6850,f6843]) ).
fof(f6843,plain,
( sK10(sK4(sK2)) = k5_filter_2(sK2,sK10(sK4(sK2)))
| ~ spl31_427
| ~ spl31_460 ),
inference(resolution,[],[f4231,f4793]) ).
fof(f4231,plain,
( m1_subset_1(sK10(sK4(sK2)),k1_filter_2(sK2))
| ~ spl31_427 ),
inference(avatar_component_clause,[],[f4229]) ).
fof(f6850,plain,
( k5_filter_2(sK2,sK10(sK4(sK2))) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(sK4(sK2))))
| ~ spl31_427
| ~ spl31_497 ),
inference(resolution,[],[f4231,f5081]) ).
fof(f29171,plain,
( spl31_1201
| ~ spl31_153
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3922,f3885,f1358,f29169]) ).
fof(f29169,plain,
( spl31_1201
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1201])]) ).
fof(f1358,plain,
( spl31_153
<=> ! [X0,X1] :
( X0 = X1
| r2_hidden(sK12(X0,X1),X1)
| r2_hidden(sK12(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_153])]) ).
fof(f3922,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_409 ),
inference(resolution,[],[f3886,f1359]) ).
fof(f1359,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| r2_hidden(sK12(X0,X1),X0)
| X0 = X1 )
| ~ spl31_153 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f29167,plain,
( spl31_1200
| ~ spl31_307
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3920,f3885,f2564,f29165]) ).
fof(f29165,plain,
( spl31_1200
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1200])]) ).
fof(f3920,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_409 ),
inference(resolution,[],[f3886,f2565]) ).
fof(f29163,plain,
( spl31_1199
| ~ spl31_153
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3919,f3885,f1358,f29161]) ).
fof(f29161,plain,
( spl31_1199
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1199])]) ).
fof(f3919,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_409 ),
inference(resolution,[],[f3886,f1359]) ).
fof(f29159,plain,
( spl31_1198
| ~ spl31_309
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3917,f3885,f2572,f29157]) ).
fof(f29157,plain,
( spl31_1198
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1198])]) ).
fof(f3917,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_409 ),
inference(resolution,[],[f3886,f2573]) ).
fof(f29110,plain,
( spl31_1197
| ~ spl31_153
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3913,f3881,f1358,f29108]) ).
fof(f29108,plain,
( spl31_1197
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1197])]) ).
fof(f3913,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_408 ),
inference(resolution,[],[f3882,f1359]) ).
fof(f29106,plain,
( spl31_1196
| ~ spl31_307
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3911,f3881,f2564,f29104]) ).
fof(f29104,plain,
( spl31_1196
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1196])]) ).
fof(f3911,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_408 ),
inference(resolution,[],[f3882,f2565]) ).
fof(f29102,plain,
( spl31_1195
| ~ spl31_153
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3910,f3881,f1358,f29100]) ).
fof(f29100,plain,
( spl31_1195
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1195])]) ).
fof(f3910,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_408 ),
inference(resolution,[],[f3882,f1359]) ).
fof(f29098,plain,
( spl31_1194
| ~ spl31_309
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3908,f3881,f2572,f29096]) ).
fof(f29096,plain,
( spl31_1194
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1194])]) ).
fof(f3908,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_408 ),
inference(resolution,[],[f3882,f2573]) ).
fof(f29094,plain,
( spl31_1193
| ~ spl31_153
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3904,f3877,f1358,f29092]) ).
fof(f29092,plain,
( spl31_1193
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1193])]) ).
fof(f3904,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_407 ),
inference(resolution,[],[f3878,f1359]) ).
fof(f29090,plain,
( spl31_1192
| ~ spl31_307
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3902,f3877,f2564,f29088]) ).
fof(f29088,plain,
( spl31_1192
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1192])]) ).
fof(f3902,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_407 ),
inference(resolution,[],[f3878,f2565]) ).
fof(f29086,plain,
( spl31_1191
| ~ spl31_153
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3901,f3877,f1358,f29084]) ).
fof(f29084,plain,
( spl31_1191
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1191])]) ).
fof(f3901,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_407 ),
inference(resolution,[],[f3878,f1359]) ).
fof(f29082,plain,
( spl31_1190
| ~ spl31_309
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3899,f3877,f2572,f29080]) ).
fof(f29080,plain,
( spl31_1190
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1190])]) ).
fof(f3899,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_407 ),
inference(resolution,[],[f3878,f2573]) ).
fof(f29078,plain,
( spl31_1189
| ~ spl31_153
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3895,f3873,f1358,f29076]) ).
fof(f29076,plain,
( spl31_1189
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1189])]) ).
fof(f3895,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_406 ),
inference(resolution,[],[f3874,f1359]) ).
fof(f29074,plain,
( spl31_1188
| ~ spl31_307
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3893,f3873,f2564,f29072]) ).
fof(f29072,plain,
( spl31_1188
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1188])]) ).
fof(f3893,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_406 ),
inference(resolution,[],[f3874,f2565]) ).
fof(f29025,plain,
( spl31_1187
| ~ spl31_153
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3892,f3873,f1358,f29023]) ).
fof(f29023,plain,
( spl31_1187
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1187])]) ).
fof(f3892,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_406 ),
inference(resolution,[],[f3874,f1359]) ).
fof(f29021,plain,
( spl31_1186
| ~ spl31_309
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3890,f3873,f2572,f29019]) ).
fof(f29019,plain,
( spl31_1186
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1186])]) ).
fof(f3890,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_406 ),
inference(resolution,[],[f3874,f2573]) ).
fof(f28303,plain,
( spl31_1185
| ~ spl31_302
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4202,f4060,f2481,f28301]) ).
fof(f28301,plain,
( spl31_1185
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK4(X2)) = sK16(sK12(a_2_0_filter_2(X1,X0),sK4(X2)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK4(X2)
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),sK4(X2)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1185])]) ).
fof(f2481,plain,
( spl31_302
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK4(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_302])]) ).
fof(f4202,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK4(X2)) = sK16(sK12(a_2_0_filter_2(X1,X0),sK4(X2)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK4(X2)
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),sK4(X2)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) )
| ~ spl31_302
| ~ spl31_421 ),
inference(resolution,[],[f4061,f2482]) ).
fof(f2482,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK4(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl31_302 ),
inference(avatar_component_clause,[],[f2481]) ).
fof(f28299,plain,
( spl31_1184
| ~ spl31_302
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4177,f4056,f2481,f28297]) ).
fof(f28297,plain,
( spl31_1184
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK4(X2),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK4(X2),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK4(X2)
| m1_subset_1(sK12(sK4(X2),a_2_0_filter_2(X1,X0)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1184])]) ).
fof(f4177,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK4(X2),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK4(X2),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK4(X2)
| m1_subset_1(sK12(sK4(X2),a_2_0_filter_2(X1,X0)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) )
| ~ spl31_302
| ~ spl31_420 ),
inference(resolution,[],[f4057,f2482]) ).
fof(f28251,plain,
( spl31_1183
| ~ spl31_302
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4144,f4052,f2481,f28249]) ).
fof(f28249,plain,
( spl31_1183
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK4(X2)) = sK15(sK12(a_2_0_filter_0(X1,X0),sK4(X2)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK4(X2)
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),sK4(X2)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1183])]) ).
fof(f4144,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK4(X2)) = sK15(sK12(a_2_0_filter_0(X1,X0),sK4(X2)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK4(X2)
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),sK4(X2)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) )
| ~ spl31_302
| ~ spl31_419 ),
inference(resolution,[],[f4053,f2482]) ).
fof(f28247,plain,
( spl31_1182
| ~ spl31_302
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4120,f4048,f2481,f28245]) ).
fof(f28245,plain,
( spl31_1182
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK4(X2),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK4(X2),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK4(X2)
| m1_subset_1(sK12(sK4(X2),a_2_0_filter_0(X1,X0)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1182])]) ).
fof(f4120,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK4(X2),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK4(X2),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK4(X2)
| m1_subset_1(sK12(sK4(X2),a_2_0_filter_0(X1,X0)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2) )
| ~ spl31_302
| ~ spl31_418 ),
inference(resolution,[],[f4049,f2482]) ).
fof(f28243,plain,
( spl31_1181
| ~ spl31_186
| ~ spl31_304 ),
inference(avatar_split_clause,[],[f2552,f2489,f1654,f28241]) ).
fof(f28241,plain,
( spl31_1181
<=> ! [X0,X1] :
( ~ l2_lattices(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1181])]) ).
fof(f1654,plain,
( spl31_186
<=> ! [X2,X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_186])]) ).
fof(f2552,plain,
( ! [X0,X1] :
( ~ l2_lattices(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl31_186
| ~ spl31_304 ),
inference(resolution,[],[f2490,f1655]) ).
fof(f1655,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl31_186 ),
inference(avatar_component_clause,[],[f1654]) ).
fof(f28239,plain,
( spl31_1180
| ~ spl31_186
| ~ spl31_303 ),
inference(avatar_split_clause,[],[f2541,f2485,f1654,f28237]) ).
fof(f28237,plain,
( spl31_1180
<=> ! [X0,X1] :
( ~ l1_lattices(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1180])]) ).
fof(f2541,plain,
( ! [X0,X1] :
( ~ l1_lattices(X0)
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl31_186
| ~ spl31_303 ),
inference(resolution,[],[f2486,f1655]) ).
fof(f26946,plain,
( spl31_1179
| ~ spl31_246
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4204,f4060,f2051,f26944]) ).
fof(f26944,plain,
( spl31_1179
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))) = sK16(sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1179])]) ).
fof(f2051,plain,
( spl31_246
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_246])]) ).
fof(f4204,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))) = sK16(sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))),X2) )
| ~ spl31_246
| ~ spl31_421 ),
inference(resolution,[],[f4061,f2052]) ).
fof(f2052,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl31_246 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f26937,plain,
( spl31_1178
| ~ spl31_246
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4179,f4056,f2051,f26935]) ).
fof(f26935,plain,
( spl31_1178
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1178])]) ).
fof(f4179,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)),X2) )
| ~ spl31_246
| ~ spl31_420 ),
inference(resolution,[],[f4057,f2052]) ).
fof(f26933,plain,
( spl31_1177
| ~ spl31_246
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4145,f4052,f2051,f26931]) ).
fof(f26931,plain,
( spl31_1177
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))) = sK15(sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1177])]) ).
fof(f4145,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))) = sK15(sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))),X2) )
| ~ spl31_246
| ~ spl31_419 ),
inference(resolution,[],[f4053,f2052]) ).
fof(f26929,plain,
( spl31_1176
| ~ spl31_246
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4121,f4048,f2051,f26927]) ).
fof(f26927,plain,
( spl31_1176
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1176])]) ).
fof(f4121,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)),X2) )
| ~ spl31_246
| ~ spl31_418 ),
inference(resolution,[],[f4049,f2052]) ).
fof(f26925,plain,
( spl31_1175
| ~ spl31_309
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3989,f3943,f2572,f26923]) ).
fof(f26923,plain,
( spl31_1175
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1175])]) ).
fof(f3989,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_412 ),
inference(resolution,[],[f3944,f2573]) ).
fof(f26921,plain,
( spl31_1174
| ~ spl31_307
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3988,f3943,f2564,f26919]) ).
fof(f26919,plain,
( spl31_1174
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1174])]) ).
fof(f3988,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_412 ),
inference(resolution,[],[f3944,f2565]) ).
fof(f26917,plain,
( spl31_1173
| ~ spl31_309
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3970,f3939,f2572,f26915]) ).
fof(f26915,plain,
( spl31_1173
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1173])]) ).
fof(f3970,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_411 ),
inference(resolution,[],[f3940,f2573]) ).
fof(f26913,plain,
( spl31_1172
| ~ spl31_307
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3969,f3939,f2564,f26911]) ).
fof(f26911,plain,
( spl31_1172
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1172])]) ).
fof(f3969,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_411 ),
inference(resolution,[],[f3940,f2565]) ).
fof(f26909,plain,
( spl31_1171
| ~ spl31_309
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3951,f3935,f2572,f26907]) ).
fof(f26907,plain,
( spl31_1171
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1171])]) ).
fof(f3951,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_410 ),
inference(resolution,[],[f3936,f2573]) ).
fof(f26905,plain,
( spl31_1170
| ~ spl31_307
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3950,f3935,f2564,f26903]) ).
fof(f26903,plain,
( spl31_1170
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1170])]) ).
fof(f3950,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0)))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_410 ),
inference(resolution,[],[f3936,f2565]) ).
fof(f26901,plain,
( spl31_1169
| ~ spl31_309
| ~ spl31_391 ),
inference(avatar_split_clause,[],[f3662,f3645,f2572,f26899]) ).
fof(f26899,plain,
( spl31_1169
<=> ! [X0,X3,X2,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| r2_hidden(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3),X3)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1169])]) ).
fof(f3645,plain,
( spl31_391
<=> ! [X0,X3,X2,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_391])]) ).
fof(f3662,plain,
( ! [X2,X3,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| r2_hidden(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3),X3)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X3 )
| ~ spl31_309
| ~ spl31_391 ),
inference(resolution,[],[f3646,f2573]) ).
fof(f3646,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl31_391 ),
inference(avatar_component_clause,[],[f3645]) ).
fof(f26892,plain,
( spl31_1168
| ~ spl31_307
| ~ spl31_391 ),
inference(avatar_split_clause,[],[f3661,f3645,f2564,f26890]) ).
fof(f26890,plain,
( spl31_1168
<=> ! [X0,X3,X2,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK12(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK12(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| r2_hidden(sK12(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1168])]) ).
fof(f3661,plain,
( ! [X2,X3,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK12(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK12(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| r2_hidden(sK12(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X3 )
| ~ spl31_307
| ~ spl31_391 ),
inference(resolution,[],[f3646,f2565]) ).
fof(f26888,plain,
( spl31_1167
| ~ spl31_180
| ~ spl31_382 ),
inference(avatar_split_clause,[],[f3486,f3464,f1611,f26886]) ).
fof(f26886,plain,
( spl31_1167
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(a_2_0_filter_2(X0,X1),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,a_2_0_filter_2(X0,X1),X3)
| ~ r3_lattices(X0,a_2_0_filter_2(X2,X3),X1)
| ~ m1_subset_1(a_2_0_filter_2(X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1167])]) ).
fof(f3464,plain,
( spl31_382
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(a_2_0_filter_2(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_382])]) ).
fof(f3486,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(a_2_0_filter_2(X0,X1),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,a_2_0_filter_2(X0,X1),X3)
| ~ r3_lattices(X0,a_2_0_filter_2(X2,X3),X1)
| ~ m1_subset_1(a_2_0_filter_2(X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_180
| ~ spl31_382 ),
inference(resolution,[],[f3465,f1612]) ).
fof(f3465,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(a_2_0_filter_2(X0,X2),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2) )
| ~ spl31_382 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f26884,plain,
( spl31_1166
| ~ spl31_180
| ~ spl31_380 ),
inference(avatar_split_clause,[],[f3479,f3456,f1611,f26882]) ).
fof(f26882,plain,
( spl31_1166
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(a_2_0_filter_2(X0,X1),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,a_2_0_filter_2(X0,X1))
| ~ r3_lattices(X0,a_2_0_filter_0(X2,X3),X1)
| ~ m1_subset_1(a_2_0_filter_0(X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1166])]) ).
fof(f3456,plain,
( spl31_380
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(a_2_0_filter_0(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_380])]) ).
fof(f3479,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(a_2_0_filter_2(X0,X1),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,a_2_0_filter_2(X0,X1))
| ~ r3_lattices(X0,a_2_0_filter_0(X2,X3),X1)
| ~ m1_subset_1(a_2_0_filter_0(X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_180
| ~ spl31_380 ),
inference(resolution,[],[f3457,f1612]) ).
fof(f3457,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(a_2_0_filter_0(X0,X1),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r3_lattices(X0,X1,X2) )
| ~ spl31_380 ),
inference(avatar_component_clause,[],[f3456]) ).
fof(f26880,plain,
( spl31_1165
| ~ spl31_179
| ~ spl31_380 ),
inference(avatar_split_clause,[],[f3478,f3456,f1607,f26878]) ).
fof(f26878,plain,
( spl31_1165
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(a_2_0_filter_0(X0,X1),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,a_2_0_filter_0(X0,X1))
| ~ r3_lattices(X0,X1,a_2_0_filter_0(X2,X3))
| ~ m1_subset_1(a_2_0_filter_0(X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1165])]) ).
fof(f3478,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(a_2_0_filter_0(X0,X1),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,a_2_0_filter_0(X0,X1))
| ~ r3_lattices(X0,X1,a_2_0_filter_0(X2,X3))
| ~ m1_subset_1(a_2_0_filter_0(X2,X3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_179
| ~ spl31_380 ),
inference(resolution,[],[f3457,f1608]) ).
fof(f23441,plain,
( spl31_1164
| ~ spl31_175
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3997,f3943,f1558,f23439]) ).
fof(f23439,plain,
( spl31_1164
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1164])]) ).
fof(f3997,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_412 ),
inference(duplicate_literal_removal,[],[f3990]) ).
fof(f3990,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_412 ),
inference(resolution,[],[f3944,f1559]) ).
fof(f23437,plain,
( spl31_1163
| ~ spl31_177
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3996,f3943,f1566,f23435]) ).
fof(f23435,plain,
( spl31_1163
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1163])]) ).
fof(f3996,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_412 ),
inference(duplicate_literal_removal,[],[f3991]) ).
fof(f3991,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_412 ),
inference(resolution,[],[f3944,f1567]) ).
fof(f23433,plain,
( spl31_1162
| ~ spl31_175
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3978,f3939,f1558,f23431]) ).
fof(f23431,plain,
( spl31_1162
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1162])]) ).
fof(f3978,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_411 ),
inference(duplicate_literal_removal,[],[f3971]) ).
fof(f3971,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_411 ),
inference(resolution,[],[f3940,f1559]) ).
fof(f23429,plain,
( spl31_1161
| ~ spl31_177
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3977,f3939,f1566,f23427]) ).
fof(f23427,plain,
( spl31_1161
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1161])]) ).
fof(f3977,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_411 ),
inference(duplicate_literal_removal,[],[f3972]) ).
fof(f3972,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_411 ),
inference(resolution,[],[f3940,f1567]) ).
fof(f23425,plain,
( spl31_1160
| ~ spl31_175
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3959,f3935,f1558,f23423]) ).
fof(f23423,plain,
( spl31_1160
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1160])]) ).
fof(f3959,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_410 ),
inference(duplicate_literal_removal,[],[f3952]) ).
fof(f3952,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_410 ),
inference(resolution,[],[f3936,f1559]) ).
fof(f23421,plain,
( spl31_1159
| ~ spl31_177
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3958,f3935,f1566,f23419]) ).
fof(f23419,plain,
( spl31_1159
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1159])]) ).
fof(f3958,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_410 ),
inference(duplicate_literal_removal,[],[f3953]) ).
fof(f3953,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_410 ),
inference(resolution,[],[f3936,f1567]) ).
fof(f23417,plain,
( spl31_1158
| ~ spl31_153
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3842,f3787,f1358,f23415]) ).
fof(f23415,plain,
( spl31_1158
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1158])]) ).
fof(f3842,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_403 ),
inference(resolution,[],[f3788,f1359]) ).
fof(f23413,plain,
( spl31_1157
| ~ spl31_307
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3840,f3787,f2564,f23411]) ).
fof(f23411,plain,
( spl31_1157
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1157])]) ).
fof(f3840,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_403 ),
inference(resolution,[],[f3788,f2565]) ).
fof(f23409,plain,
( spl31_1156
| ~ spl31_153
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3839,f3787,f1358,f23407]) ).
fof(f23407,plain,
( spl31_1156
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1156])]) ).
fof(f3839,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_403 ),
inference(resolution,[],[f3788,f1359]) ).
fof(f23405,plain,
( spl31_1155
| ~ spl31_309
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3837,f3787,f2572,f23403]) ).
fof(f23403,plain,
( spl31_1155
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1155])]) ).
fof(f3837,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_403 ),
inference(resolution,[],[f3788,f2573]) ).
fof(f23401,plain,
( spl31_1154
| ~ spl31_153
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3833,f3783,f1358,f23399]) ).
fof(f23399,plain,
( spl31_1154
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1154])]) ).
fof(f3833,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_402 ),
inference(resolution,[],[f3784,f1359]) ).
fof(f23397,plain,
( spl31_1153
| ~ spl31_307
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3831,f3783,f2564,f23395]) ).
fof(f23395,plain,
( spl31_1153
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1153])]) ).
fof(f3831,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_402 ),
inference(resolution,[],[f3784,f2565]) ).
fof(f23393,plain,
( spl31_1152
| ~ spl31_153
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3830,f3783,f1358,f23391]) ).
fof(f23391,plain,
( spl31_1152
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1152])]) ).
fof(f3830,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_402 ),
inference(resolution,[],[f3784,f1359]) ).
fof(f23389,plain,
( spl31_1151
| ~ spl31_309
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3828,f3783,f2572,f23387]) ).
fof(f23387,plain,
( spl31_1151
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1151])]) ).
fof(f3828,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_402 ),
inference(resolution,[],[f3784,f2573]) ).
fof(f23385,plain,
( spl31_1150
| ~ spl31_153
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3824,f3779,f1358,f23383]) ).
fof(f23383,plain,
( spl31_1150
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1150])]) ).
fof(f3824,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_401 ),
inference(resolution,[],[f3780,f1359]) ).
fof(f23381,plain,
( spl31_1149
| ~ spl31_307
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3822,f3779,f2564,f23379]) ).
fof(f23379,plain,
( spl31_1149
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1149])]) ).
fof(f3822,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_401 ),
inference(resolution,[],[f3780,f2565]) ).
fof(f23377,plain,
( spl31_1148
| ~ spl31_153
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3821,f3779,f1358,f23375]) ).
fof(f23375,plain,
( spl31_1148
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1148])]) ).
fof(f3821,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_401 ),
inference(resolution,[],[f3780,f1359]) ).
fof(f23373,plain,
( spl31_1147
| ~ spl31_309
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3819,f3779,f2572,f23371]) ).
fof(f23371,plain,
( spl31_1147
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1147])]) ).
fof(f3819,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_401 ),
inference(resolution,[],[f3780,f2573]) ).
fof(f23369,plain,
( spl31_1146
| ~ spl31_153
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3815,f3775,f1358,f23367]) ).
fof(f23367,plain,
( spl31_1146
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1146])]) ).
fof(f3815,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_400 ),
inference(resolution,[],[f3776,f1359]) ).
fof(f23365,plain,
( spl31_1145
| ~ spl31_307
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3813,f3775,f2564,f23363]) ).
fof(f23363,plain,
( spl31_1145
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1145])]) ).
fof(f3813,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_400 ),
inference(resolution,[],[f3776,f2565]) ).
fof(f23361,plain,
( spl31_1144
| ~ spl31_153
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3812,f3775,f1358,f23359]) ).
fof(f23359,plain,
( spl31_1144
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1144])]) ).
fof(f3812,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_400 ),
inference(resolution,[],[f3776,f1359]) ).
fof(f23357,plain,
( spl31_1143
| ~ spl31_309
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3810,f3775,f2572,f23355]) ).
fof(f23355,plain,
( spl31_1143
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1143])]) ).
fof(f3810,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_400 ),
inference(resolution,[],[f3776,f2573]) ).
fof(f23353,plain,
( spl31_1142
| ~ spl31_153
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3806,f3765,f1358,f23351]) ).
fof(f23351,plain,
( spl31_1142
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1142])]) ).
fof(f3806,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_398 ),
inference(resolution,[],[f3766,f1359]) ).
fof(f23349,plain,
( spl31_1141
| ~ spl31_307
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3804,f3765,f2564,f23347]) ).
fof(f23347,plain,
( spl31_1141
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1141])]) ).
fof(f3804,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_398 ),
inference(resolution,[],[f3766,f2565]) ).
fof(f23345,plain,
( spl31_1140
| ~ spl31_153
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3803,f3765,f1358,f23343]) ).
fof(f23343,plain,
( spl31_1140
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1140])]) ).
fof(f3803,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_398 ),
inference(resolution,[],[f3766,f1359]) ).
fof(f23341,plain,
( spl31_1139
| ~ spl31_309
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3801,f3765,f2572,f23339]) ).
fof(f23339,plain,
( spl31_1139
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1139])]) ).
fof(f3801,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_398 ),
inference(resolution,[],[f3766,f2573]) ).
fof(f23337,plain,
( spl31_1137
| ~ spl31_1138
| ~ spl31_277
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13531,f7720,f2253,f23334,f23330]) ).
fof(f23330,plain,
( spl31_1137
<=> u2_lattices(sK2) = u2_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1137])]) ).
fof(f23334,plain,
( spl31_1138
<=> k1_lattice2(sK2) = k1_lattice2(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1138])]) ).
fof(f13531,plain,
( k1_lattice2(sK2) != k1_lattice2(sK27)
| u2_lattices(sK2) = u2_lattices(sK27)
| ~ spl31_277
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2255]) ).
fof(f23328,plain,
( spl31_1136
| ~ spl31_153
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3797,f3761,f1358,f23326]) ).
fof(f23326,plain,
( spl31_1136
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1136])]) ).
fof(f3797,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_397 ),
inference(resolution,[],[f3762,f1359]) ).
fof(f23324,plain,
( spl31_1135
| ~ spl31_307
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3795,f3761,f2564,f23322]) ).
fof(f23322,plain,
( spl31_1135
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1135])]) ).
fof(f3795,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_397 ),
inference(resolution,[],[f3762,f2565]) ).
fof(f23320,plain,
( spl31_1134
| ~ spl31_153
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3794,f3761,f1358,f23318]) ).
fof(f23318,plain,
( spl31_1134
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1134])]) ).
fof(f3794,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_397 ),
inference(resolution,[],[f3762,f1359]) ).
fof(f23316,plain,
( spl31_1133
| ~ spl31_309
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3792,f3761,f2572,f23314]) ).
fof(f23314,plain,
( spl31_1133
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1133])]) ).
fof(f3792,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_397 ),
inference(resolution,[],[f3762,f2573]) ).
fof(f22488,plain,
( spl31_1132
| ~ spl31_250
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4201,f4060,f2071,f22486]) ).
fof(f22486,plain,
( spl31_1132
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK3(X2)) = sK16(sK12(a_2_0_filter_2(X1,X0),sK3(X2)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK3(X2)
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),sK3(X2)),X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1132])]) ).
fof(f2071,plain,
( spl31_250
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK3(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_250])]) ).
fof(f4201,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK3(X2)) = sK16(sK12(a_2_0_filter_2(X1,X0),sK3(X2)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK3(X2)
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),sK3(X2)),X2)
| v1_xboole_0(X2) )
| ~ spl31_250
| ~ spl31_421 ),
inference(resolution,[],[f4061,f2072]) ).
fof(f2072,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK3(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl31_250 ),
inference(avatar_component_clause,[],[f2071]) ).
fof(f22484,plain,
( spl31_1131
| ~ spl31_250
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4176,f4056,f2071,f22482]) ).
fof(f22482,plain,
( spl31_1131
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK3(X2),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK3(X2),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK3(X2)
| m1_subset_1(sK12(sK3(X2),a_2_0_filter_2(X1,X0)),X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1131])]) ).
fof(f4176,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK3(X2),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK3(X2),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK3(X2)
| m1_subset_1(sK12(sK3(X2),a_2_0_filter_2(X1,X0)),X2)
| v1_xboole_0(X2) )
| ~ spl31_250
| ~ spl31_420 ),
inference(resolution,[],[f4057,f2072]) ).
fof(f22480,plain,
( spl31_1130
| ~ spl31_250
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4143,f4052,f2071,f22478]) ).
fof(f22478,plain,
( spl31_1130
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK3(X2)) = sK15(sK12(a_2_0_filter_0(X1,X0),sK3(X2)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK3(X2)
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),sK3(X2)),X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1130])]) ).
fof(f4143,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK3(X2)) = sK15(sK12(a_2_0_filter_0(X1,X0),sK3(X2)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK3(X2)
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),sK3(X2)),X2)
| v1_xboole_0(X2) )
| ~ spl31_250
| ~ spl31_419 ),
inference(resolution,[],[f4053,f2072]) ).
fof(f22476,plain,
( spl31_1129
| ~ spl31_250
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4119,f4048,f2071,f22474]) ).
fof(f22474,plain,
( spl31_1129
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK3(X2),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK3(X2),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK3(X2)
| m1_subset_1(sK12(sK3(X2),a_2_0_filter_0(X1,X0)),X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1129])]) ).
fof(f4119,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK3(X2),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK3(X2),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK3(X2)
| m1_subset_1(sK12(sK3(X2),a_2_0_filter_0(X1,X0)),X2)
| v1_xboole_0(X2) )
| ~ spl31_250
| ~ spl31_418 ),
inference(resolution,[],[f4049,f2072]) ).
fof(f22472,plain,
( spl31_1128
| ~ spl31_309
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3737,f3693,f2572,f22470]) ).
fof(f22470,plain,
( spl31_1128
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(k1_zfmisc_1(u1_struct_0(X0)),X2))
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1128])]) ).
fof(f3693,plain,
( spl31_396
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| r1_filter_2(u1_struct_0(X0),X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_396])]) ).
fof(f3737,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(k1_zfmisc_1(u1_struct_0(X0)),X2))
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 )
| ~ spl31_309
| ~ spl31_396 ),
inference(resolution,[],[f3694,f2573]) ).
fof(f3694,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_filter_2(u1_struct_0(X0),X2,X1)
| ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_396 ),
inference(avatar_component_clause,[],[f3693]) ).
fof(f22468,plain,
( spl31_1127
| ~ spl31_307
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3736,f3693,f2564,f22466]) ).
fof(f22466,plain,
( spl31_1127
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(X2,k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1127])]) ).
fof(f3736,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(X2,k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 )
| ~ spl31_307
| ~ spl31_396 ),
inference(resolution,[],[f3694,f2565]) ).
fof(f22464,plain,
( spl31_1126
| ~ spl31_309
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3706,f3689,f2572,f22462]) ).
fof(f22462,plain,
( spl31_1126
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(k1_zfmisc_1(u1_struct_0(X0)),X2))
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1126])]) ).
fof(f3689,plain,
( spl31_395
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| r1_filter_2(u1_struct_0(X0),X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_395])]) ).
fof(f3706,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(k1_zfmisc_1(u1_struct_0(X0)),X2))
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X2),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 )
| ~ spl31_309
| ~ spl31_395 ),
inference(resolution,[],[f3690,f2573]) ).
fof(f3690,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_filter_2(u1_struct_0(X0),X2,X1)
| ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_395 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f22460,plain,
( spl31_1125
| ~ spl31_307
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3705,f3689,f2564,f22458]) ).
fof(f22458,plain,
( spl31_1125
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(X2,k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1125])]) ).
fof(f3705,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK12(X2,k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X2,k1_zfmisc_1(u1_struct_0(X0))),X2)
| k1_zfmisc_1(u1_struct_0(X0)) = X2 )
| ~ spl31_307
| ~ spl31_395 ),
inference(resolution,[],[f3690,f2565]) ).
fof(f22456,plain,
( spl31_1124
| ~ spl31_183
| ~ spl31_304 ),
inference(avatar_split_clause,[],[f2554,f2489,f1639,f22454]) ).
fof(f22454,plain,
( spl31_1124
<=> ! [X0,X1] :
( ~ l2_lattices(X0)
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1124])]) ).
fof(f1639,plain,
( spl31_183
<=> ! [X2,X0,X1] :
( v3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_183])]) ).
fof(f2554,plain,
( ! [X0,X1] :
( ~ l2_lattices(X0)
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ spl31_183
| ~ spl31_304 ),
inference(resolution,[],[f2490,f1640]) ).
fof(f1640,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,X2))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_183 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f22452,plain,
( spl31_1123
| ~ spl31_184
| ~ spl31_304 ),
inference(avatar_split_clause,[],[f2553,f2489,f1643,f22450]) ).
fof(f22450,plain,
( spl31_1123
<=> ! [X0,X1] :
( ~ l2_lattices(X0)
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1123])]) ).
fof(f1643,plain,
( spl31_184
<=> ! [X2,X0,X1] :
( l3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_184])]) ).
fof(f2553,plain,
( ! [X0,X1] :
( ~ l2_lattices(X0)
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ spl31_184
| ~ spl31_304 ),
inference(resolution,[],[f2490,f1644]) ).
fof(f1644,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| l3_lattices(g3_lattices(X0,X1,X2))
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_184 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f22448,plain,
( spl31_1122
| ~ spl31_183
| ~ spl31_303 ),
inference(avatar_split_clause,[],[f2543,f2485,f1639,f22446]) ).
fof(f22446,plain,
( spl31_1122
<=> ! [X0,X1] :
( ~ l1_lattices(X0)
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1122])]) ).
fof(f2543,plain,
( ! [X0,X1] :
( ~ l1_lattices(X0)
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ spl31_183
| ~ spl31_303 ),
inference(resolution,[],[f2486,f1640]) ).
fof(f22444,plain,
( spl31_1121
| ~ spl31_184
| ~ spl31_303 ),
inference(avatar_split_clause,[],[f2542,f2485,f1643,f22442]) ).
fof(f22442,plain,
( spl31_1121
<=> ! [X0,X1] :
( ~ l1_lattices(X0)
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1121])]) ).
fof(f2542,plain,
( ! [X0,X1] :
( ~ l1_lattices(X0)
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1) )
| ~ spl31_184
| ~ spl31_303 ),
inference(resolution,[],[f2486,f1644]) ).
fof(f22294,plain,
( spl31_1119
| ~ spl31_1120
| ~ spl31_274
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13530,f7720,f2234,f22291,f22287]) ).
fof(f22287,plain,
( spl31_1119
<=> u2_lattices(sK2) = u2_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1119])]) ).
fof(f22291,plain,
( spl31_1120
<=> k1_lattice2(sK2) = k1_lattice2(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1120])]) ).
fof(f13530,plain,
( k1_lattice2(sK2) != k1_lattice2(sK24)
| u2_lattices(sK2) = u2_lattices(sK24)
| ~ spl31_274
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2236]) ).
fof(f20755,plain,
( spl31_1118
| ~ spl31_286
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3921,f3885,f2290,f20753]) ).
fof(f20753,plain,
( spl31_1118
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1118])]) ).
fof(f2290,plain,
( spl31_286
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X0)
| X0 = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_286])]) ).
fof(f3921,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_409 ),
inference(resolution,[],[f3886,f2291]) ).
fof(f2291,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X0)
| X0 = X1
| ~ v1_xboole_0(X1) )
| ~ spl31_286 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f20751,plain,
( spl31_1117
| ~ spl31_287
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3918,f3885,f2294,f20749]) ).
fof(f20749,plain,
( spl31_1117
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1117])]) ).
fof(f2294,plain,
( spl31_287
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_287])]) ).
fof(f3918,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_409 ),
inference(resolution,[],[f3886,f2295]) ).
fof(f2295,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl31_287 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f20747,plain,
( spl31_1116
| ~ spl31_286
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3912,f3881,f2290,f20745]) ).
fof(f20745,plain,
( spl31_1116
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1116])]) ).
fof(f3912,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_408 ),
inference(resolution,[],[f3882,f2291]) ).
fof(f20743,plain,
( spl31_1115
| ~ spl31_287
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3909,f3881,f2294,f20741]) ).
fof(f20741,plain,
( spl31_1115
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1115])]) ).
fof(f3909,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_408 ),
inference(resolution,[],[f3882,f2295]) ).
fof(f20739,plain,
( spl31_1114
| ~ spl31_286
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3903,f3877,f2290,f20737]) ).
fof(f20737,plain,
( spl31_1114
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1114])]) ).
fof(f3903,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_407 ),
inference(resolution,[],[f3878,f2291]) ).
fof(f20735,plain,
( spl31_1113
| ~ spl31_287
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3900,f3877,f2294,f20733]) ).
fof(f20733,plain,
( spl31_1113
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1113])]) ).
fof(f3900,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_407 ),
inference(resolution,[],[f3878,f2295]) ).
fof(f20731,plain,
( spl31_1112
| ~ spl31_286
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3894,f3873,f2290,f20729]) ).
fof(f20729,plain,
( spl31_1112
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1112])]) ).
fof(f3894,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_406 ),
inference(resolution,[],[f3874,f2291]) ).
fof(f20727,plain,
( spl31_1111
| ~ spl31_287
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3891,f3873,f2294,f20725]) ).
fof(f20725,plain,
( spl31_1111
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1111])]) ).
fof(f3891,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_406 ),
inference(resolution,[],[f3874,f2295]) ).
fof(f20723,plain,
( spl31_1110
| ~ spl31_309
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3858,f3850,f2572,f20721]) ).
fof(f20721,plain,
( spl31_1110
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK12(u1_struct_0(X0),X1)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1110])]) ).
fof(f3858,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK12(u1_struct_0(X0),X1)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_405 ),
inference(resolution,[],[f3851,f2573]) ).
fof(f20719,plain,
( spl31_1109
| ~ spl31_307
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3857,f3850,f2564,f20717]) ).
fof(f20717,plain,
( spl31_1109
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK12(X1,u1_struct_0(X0))) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1109])]) ).
fof(f3857,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK12(X1,u1_struct_0(X0))) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_405 ),
inference(resolution,[],[f3851,f2565]) ).
fof(f20715,plain,
( spl31_1108
| ~ spl31_153
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3682,f3653,f1358,f20713]) ).
fof(f20713,plain,
( spl31_1108
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1108])]) ).
fof(f3682,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_393 ),
inference(resolution,[],[f3654,f1359]) ).
fof(f20711,plain,
( spl31_1106
| ~ spl31_1107
| ~ spl31_273
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13529,f7720,f2229,f20708,f20704]) ).
fof(f20704,plain,
( spl31_1106
<=> u2_lattices(sK2) = u2_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1106])]) ).
fof(f20708,plain,
( spl31_1107
<=> k1_lattice2(sK2) = k1_lattice2(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1107])]) ).
fof(f13529,plain,
( k1_lattice2(sK2) != k1_lattice2(sK21)
| u2_lattices(sK2) = u2_lattices(sK21)
| ~ spl31_273
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2231]) ).
fof(f20702,plain,
( spl31_1105
| ~ spl31_307
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3680,f3653,f2564,f20700]) ).
fof(f20700,plain,
( spl31_1105
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1105])]) ).
fof(f3680,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_2(X1,X0),X2),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_393 ),
inference(resolution,[],[f3654,f2565]) ).
fof(f20698,plain,
( spl31_1104
| ~ spl31_153
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3679,f3653,f1358,f20696]) ).
fof(f20696,plain,
( spl31_1104
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1104])]) ).
fof(f3679,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_393 ),
inference(resolution,[],[f3654,f1359]) ).
fof(f20694,plain,
( spl31_1103
| ~ spl31_309
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3677,f3653,f2572,f20692]) ).
fof(f20692,plain,
( spl31_1103
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1103])]) ).
fof(f3677,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_2(X1,X0)),X2)
| a_2_0_filter_2(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_393 ),
inference(resolution,[],[f3654,f2573]) ).
fof(f20690,plain,
( spl31_1102
| ~ spl31_153
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3673,f3649,f1358,f20688]) ).
fof(f20688,plain,
( spl31_1102
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1102])]) ).
fof(f3673,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| r2_hidden(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_392 ),
inference(resolution,[],[f3650,f1359]) ).
fof(f20686,plain,
( spl31_1101
| ~ spl31_307
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3671,f3649,f2564,f20684]) ).
fof(f20684,plain,
( spl31_1101
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1101])]) ).
fof(f3671,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| m1_subset_1(sK12(a_2_0_filter_0(X1,X0),X2),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_307
| ~ spl31_392 ),
inference(resolution,[],[f3650,f2565]) ).
fof(f20682,plain,
( spl31_1100
| ~ spl31_153
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3670,f3649,f1358,f20680]) ).
fof(f20680,plain,
( spl31_1100
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1100])]) ).
fof(f3670,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| r2_hidden(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_153
| ~ spl31_392 ),
inference(resolution,[],[f3650,f1359]) ).
fof(f20678,plain,
( spl31_1099
| ~ spl31_309
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3668,f3649,f2572,f20676]) ).
fof(f20676,plain,
( spl31_1099
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1099])]) ).
fof(f3668,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| m1_subset_1(sK12(X2,a_2_0_filter_0(X1,X0)),X2)
| a_2_0_filter_0(X1,X0) = X2 )
| ~ spl31_309
| ~ spl31_392 ),
inference(resolution,[],[f3650,f2573]) ).
fof(f20674,plain,
( spl31_1098
| ~ spl31_309
| ~ spl31_378 ),
inference(avatar_split_clause,[],[f3473,f3448,f2572,f20672]) ).
fof(f20672,plain,
( spl31_1098
<=> ! [X0,X3,X2,X1] :
( sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) = X3
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X3)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X2)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1098])]) ).
fof(f3448,plain,
( spl31_378
<=> ! [X0,X3,X2,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| X2 = X3
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_378])]) ).
fof(f3473,plain,
( ! [X2,X3,X0,X1] :
( sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) = X3
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X3)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1)
| r2_hidden(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X2)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2 )
| ~ spl31_309
| ~ spl31_378 ),
inference(resolution,[],[f3449,f2573]) ).
fof(f3449,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| X2 = X3
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl31_378 ),
inference(avatar_component_clause,[],[f3448]) ).
fof(f20670,plain,
( spl31_1097
| ~ spl31_307
| ~ spl31_378 ),
inference(avatar_split_clause,[],[f3472,f3448,f2564,f20668]) ).
fof(f20668,plain,
( spl31_1097
<=> ! [X0,X3,X2,X1] :
( sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) = X3
| ~ r1_filter_2(k2_zfmisc_1(X1,X2),sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X3)
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X1,X2)
| r2_hidden(sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X0)
| k1_zfmisc_1(k2_zfmisc_1(X1,X2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1097])]) ).
fof(f3472,plain,
( ! [X2,X3,X0,X1] :
( sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) = X3
| ~ r1_filter_2(k2_zfmisc_1(X1,X2),sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X3)
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X1,X2)
| r2_hidden(sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X0)
| k1_zfmisc_1(k2_zfmisc_1(X1,X2)) = X0 )
| ~ spl31_307
| ~ spl31_378 ),
inference(resolution,[],[f3449,f2565]) ).
fof(f20666,plain,
( spl31_1096
| ~ spl31_186
| ~ spl31_237 ),
inference(avatar_split_clause,[],[f2014,f1992,f1654,f20664]) ).
fof(f20664,plain,
( spl31_1096
<=> ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1096])]) ).
fof(f1992,plain,
( spl31_237
<=> ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_237])]) ).
fof(f2014,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl31_186
| ~ spl31_237 ),
inference(resolution,[],[f1993,f1655]) ).
fof(f1993,plain,
( ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1)
| ~ spl31_237 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f20418,plain,
( spl31_1095
| ~ spl31_175
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3866,f3850,f1558,f20416]) ).
fof(f20416,plain,
( spl31_1095
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK15(X1,X0,X2)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1095])]) ).
fof(f3866,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK15(X1,X0,X2)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_405 ),
inference(duplicate_literal_removal,[],[f3859]) ).
fof(f3859,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK15(X1,X0,X2)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK15(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_405 ),
inference(resolution,[],[f3851,f1559]) ).
fof(f20414,plain,
( spl31_1094
| ~ spl31_177
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3865,f3850,f1566,f20412]) ).
fof(f20412,plain,
( spl31_1094
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK16(X1,X0,X2)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1094])]) ).
fof(f3865,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK16(X1,X0,X2)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_405 ),
inference(duplicate_literal_removal,[],[f3860]) ).
fof(f3860,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK16(X1,X0,X2)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK16(X1,X0,X2)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_405 ),
inference(resolution,[],[f3851,f1567]) ).
fof(f20410,plain,
( spl31_1093
| ~ spl31_309
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3592,f3540,f2572,f20408]) ).
fof(f20408,plain,
( spl31_1093
<=> ! [X2,X0,X1] :
( sK12(k1_zfmisc_1(u1_struct_0(X0)),X1) = X2
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1093])]) ).
fof(f3540,plain,
( spl31_387
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_387])]) ).
fof(f3592,plain,
( ! [X2,X0,X1] :
( sK12(k1_zfmisc_1(u1_struct_0(X0)),X1) = X2
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1 )
| ~ spl31_309
| ~ spl31_387 ),
inference(resolution,[],[f3541,f2573]) ).
fof(f3541,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X2
| ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_387 ),
inference(avatar_component_clause,[],[f3540]) ).
fof(f20406,plain,
( spl31_1092
| ~ spl31_307
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3591,f3540,f2564,f20404]) ).
fof(f20404,plain,
( spl31_1092
<=> ! [X2,X0,X1] :
( sK12(X0,k1_zfmisc_1(u1_struct_0(X1))) = X2
| ~ r1_filter_2(u1_struct_0(X1),sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X2)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1092])]) ).
fof(f3591,plain,
( ! [X2,X0,X1] :
( sK12(X0,k1_zfmisc_1(u1_struct_0(X1))) = X2
| ~ r1_filter_2(u1_struct_0(X1),sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X2)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0 )
| ~ spl31_307
| ~ spl31_387 ),
inference(resolution,[],[f3541,f2565]) ).
fof(f20402,plain,
( spl31_1091
| ~ spl31_309
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3564,f3536,f2572,f20400]) ).
fof(f20400,plain,
( spl31_1091
<=> ! [X2,X0,X1] :
( sK12(k1_zfmisc_1(u1_struct_0(X0)),X1) = X2
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1091])]) ).
fof(f3536,plain,
( spl31_386
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_386])]) ).
fof(f3564,plain,
( ! [X2,X0,X1] :
( sK12(k1_zfmisc_1(u1_struct_0(X0)),X1) = X2
| ~ r1_filter_2(u1_struct_0(X0),sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1 )
| ~ spl31_309
| ~ spl31_386 ),
inference(resolution,[],[f3537,f2573]) ).
fof(f3537,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X2
| ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_386 ),
inference(avatar_component_clause,[],[f3536]) ).
fof(f20398,plain,
( spl31_1090
| ~ spl31_307
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3563,f3536,f2564,f20396]) ).
fof(f20396,plain,
( spl31_1090
<=> ! [X2,X0,X1] :
( sK12(X0,k1_zfmisc_1(u1_struct_0(X1))) = X2
| ~ r1_filter_2(u1_struct_0(X1),sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X2)
| v1_xboole_0(u1_struct_0(X1))
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1090])]) ).
fof(f3563,plain,
( ! [X2,X0,X1] :
( sK12(X0,k1_zfmisc_1(u1_struct_0(X1))) = X2
| ~ r1_filter_2(u1_struct_0(X1),sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X2)
| v1_xboole_0(u1_struct_0(X1))
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0 )
| ~ spl31_307
| ~ spl31_386 ),
inference(resolution,[],[f3537,f2565]) ).
fof(f20266,plain,
( spl31_1088
| ~ spl31_1089
| ~ spl31_289
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13522,f7720,f2322,f20263,f20259]) ).
fof(f20259,plain,
( spl31_1088
<=> u2_lattices(sK2) = u2_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1088])]) ).
fof(f20263,plain,
( spl31_1089
<=> k1_lattice2(sK2) = k1_lattice2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1089])]) ).
fof(f2322,plain,
( spl31_289
<=> k1_lattice2(sK26) = g3_lattices(k1_filter_2(sK26),u1_lattices(sK26),u2_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_289])]) ).
fof(f13522,plain,
( k1_lattice2(sK2) != k1_lattice2(sK26)
| u2_lattices(sK2) = u2_lattices(sK26)
| ~ spl31_289
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2324]) ).
fof(f2324,plain,
( k1_lattice2(sK26) = g3_lattices(k1_filter_2(sK26),u1_lattices(sK26),u2_lattices(sK26))
| ~ spl31_289 ),
inference(avatar_component_clause,[],[f2322]) ).
fof(f20145,plain,
( spl31_1087
| ~ spl31_187
| ~ spl31_289 ),
inference(avatar_split_clause,[],[f2390,f2322,f1659,f20143]) ).
fof(f20143,plain,
( spl31_1087
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK26)
| k1_filter_2(sK26) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1087])]) ).
fof(f2390,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK26)
| k1_filter_2(sK26) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_289 ),
inference(superposition,[],[f1660,f2324]) ).
fof(f20141,plain,
( spl31_1086
| ~ spl31_188
| ~ spl31_289 ),
inference(avatar_split_clause,[],[f2388,f2322,f1663,f20139]) ).
fof(f20139,plain,
( spl31_1086
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK26)
| u1_lattices(sK26) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1086])]) ).
fof(f2388,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK26)
| u1_lattices(sK26) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_289 ),
inference(superposition,[],[f1664,f2324]) ).
fof(f20137,plain,
( spl31_1085
| ~ spl31_189
| ~ spl31_289 ),
inference(avatar_split_clause,[],[f2386,f2322,f1667,f20135]) ).
fof(f20135,plain,
( spl31_1085
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK26)
| u2_lattices(sK26) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1085])]) ).
fof(f2386,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK26)
| u2_lattices(sK26) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_289 ),
inference(superposition,[],[f1668,f2324]) ).
fof(f20133,plain,
( spl31_1084
| ~ spl31_187
| ~ spl31_288 ),
inference(avatar_split_clause,[],[f2384,f2317,f1659,f20131]) ).
fof(f20131,plain,
( spl31_1084
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK25)
| k1_filter_2(sK25) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1084])]) ).
fof(f2317,plain,
( spl31_288
<=> k1_lattice2(sK25) = g3_lattices(k1_filter_2(sK25),u1_lattices(sK25),u2_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_288])]) ).
fof(f2384,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK25)
| k1_filter_2(sK25) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_288 ),
inference(superposition,[],[f1660,f2319]) ).
fof(f2319,plain,
( k1_lattice2(sK25) = g3_lattices(k1_filter_2(sK25),u1_lattices(sK25),u2_lattices(sK25))
| ~ spl31_288 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f20129,plain,
( spl31_1083
| ~ spl31_188
| ~ spl31_288 ),
inference(avatar_split_clause,[],[f2382,f2317,f1663,f20127]) ).
fof(f20127,plain,
( spl31_1083
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK25)
| u1_lattices(sK25) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1083])]) ).
fof(f2382,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK25)
| u1_lattices(sK25) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_288 ),
inference(superposition,[],[f1664,f2319]) ).
fof(f20125,plain,
( spl31_1082
| ~ spl31_189
| ~ spl31_288 ),
inference(avatar_split_clause,[],[f2380,f2317,f1667,f20123]) ).
fof(f20123,plain,
( spl31_1082
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK25)
| u2_lattices(sK25) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1082])]) ).
fof(f2380,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK25)
| u2_lattices(sK25) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_288 ),
inference(superposition,[],[f1668,f2319]) ).
fof(f20121,plain,
( spl31_1081
| ~ spl31_187
| ~ spl31_277 ),
inference(avatar_split_clause,[],[f2330,f2253,f1659,f20119]) ).
fof(f20119,plain,
( spl31_1081
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_struct_0(sK27) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1081])]) ).
fof(f2330,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_struct_0(sK27) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_277 ),
inference(superposition,[],[f1660,f2255]) ).
fof(f20117,plain,
( spl31_1080
| ~ spl31_188
| ~ spl31_277 ),
inference(avatar_split_clause,[],[f2328,f2253,f1663,f20115]) ).
fof(f20115,plain,
( spl31_1080
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_lattices(sK27) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1080])]) ).
fof(f2328,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u1_lattices(sK27) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_277 ),
inference(superposition,[],[f1664,f2255]) ).
fof(f20113,plain,
( spl31_1079
| ~ spl31_189
| ~ spl31_277 ),
inference(avatar_split_clause,[],[f2326,f2253,f1667,f20111]) ).
fof(f20111,plain,
( spl31_1079
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u2_lattices(sK27) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1079])]) ).
fof(f2326,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK27)
| u2_lattices(sK27) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_277 ),
inference(superposition,[],[f1668,f2255]) ).
fof(f20109,plain,
( spl31_1078
| ~ spl31_187
| ~ spl31_274 ),
inference(avatar_split_clause,[],[f2314,f2234,f1659,f20107]) ).
fof(f20107,plain,
( spl31_1078
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1078])]) ).
fof(f2314,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_274 ),
inference(superposition,[],[f1660,f2236]) ).
fof(f20105,plain,
( spl31_1077
| ~ spl31_188
| ~ spl31_274 ),
inference(avatar_split_clause,[],[f2312,f2234,f1663,f20103]) ).
fof(f20103,plain,
( spl31_1077
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_lattices(sK24) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1077])]) ).
fof(f2312,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u1_lattices(sK24) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_274 ),
inference(superposition,[],[f1664,f2236]) ).
fof(f20101,plain,
( spl31_1076
| ~ spl31_189
| ~ spl31_274 ),
inference(avatar_split_clause,[],[f2310,f2234,f1667,f20099]) ).
fof(f20099,plain,
( spl31_1076
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u2_lattices(sK24) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1076])]) ).
fof(f2310,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK24)
| u2_lattices(sK24) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_274 ),
inference(superposition,[],[f1668,f2236]) ).
fof(f20097,plain,
( spl31_1075
| ~ spl31_187
| ~ spl31_273 ),
inference(avatar_split_clause,[],[f2308,f2229,f1659,f20095]) ).
fof(f20095,plain,
( spl31_1075
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_struct_0(sK21) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1075])]) ).
fof(f2308,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_struct_0(sK21) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_273 ),
inference(superposition,[],[f1660,f2231]) ).
fof(f20093,plain,
( spl31_1074
| ~ spl31_188
| ~ spl31_273 ),
inference(avatar_split_clause,[],[f2306,f2229,f1663,f20091]) ).
fof(f20091,plain,
( spl31_1074
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_lattices(sK21) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1074])]) ).
fof(f2306,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u1_lattices(sK21) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_273 ),
inference(superposition,[],[f1664,f2231]) ).
fof(f20089,plain,
( spl31_1073
| ~ spl31_189
| ~ spl31_273 ),
inference(avatar_split_clause,[],[f2304,f2229,f1667,f20087]) ).
fof(f20087,plain,
( spl31_1073
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u2_lattices(sK21) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1073])]) ).
fof(f2304,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK21)
| u2_lattices(sK21) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_273 ),
inference(superposition,[],[f1668,f2231]) ).
fof(f20085,plain,
( spl31_1072
| ~ spl31_183
| ~ spl31_237 ),
inference(avatar_split_clause,[],[f2016,f1992,f1639,f20083]) ).
fof(f20083,plain,
( spl31_1072
<=> ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1072])]) ).
fof(f2016,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_183
| ~ spl31_237 ),
inference(resolution,[],[f1993,f1640]) ).
fof(f20081,plain,
( spl31_1071
| ~ spl31_184
| ~ spl31_237 ),
inference(avatar_split_clause,[],[f2015,f1992,f1643,f20079]) ).
fof(f20079,plain,
( spl31_1071
<=> ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1071])]) ).
fof(f2015,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK14(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK14(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK14(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_184
| ~ spl31_237 ),
inference(resolution,[],[f1993,f1644]) ).
fof(f19801,plain,
( spl31_1069
| ~ spl31_1070
| ~ spl31_288
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13521,f7720,f2317,f19798,f19794]) ).
fof(f19794,plain,
( spl31_1069
<=> u2_lattices(sK2) = u2_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1069])]) ).
fof(f19798,plain,
( spl31_1070
<=> k1_lattice2(sK2) = k1_lattice2(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1070])]) ).
fof(f13521,plain,
( k1_lattice2(sK2) != k1_lattice2(sK25)
| u2_lattices(sK2) = u2_lattices(sK25)
| ~ spl31_288
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2319]) ).
fof(f19206,plain,
( spl31_1068
| ~ spl31_358
| ~ spl31_446
| ~ spl31_473
| ~ spl31_500
| ~ spl31_502 ),
inference(avatar_split_clause,[],[f5500,f5487,f5446,f4895,f4489,f3129,f19203]) ).
fof(f19203,plain,
( spl31_1068
<=> k18_filter_2(sK2,k5_lattices(sK2)) = a_2_0_filter_0(k1_lattice2(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1068])]) ).
fof(f5500,plain,
( k18_filter_2(sK2,k5_lattices(sK2)) = a_2_0_filter_0(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_473
| ~ spl31_500
| ~ spl31_502 ),
inference(forward_demodulation,[],[f5499,f5459]) ).
fof(f5459,plain,
( k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_0(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_473
| ~ spl31_500 ),
inference(forward_demodulation,[],[f5458,f4897]) ).
fof(f5458,plain,
( k2_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) = k2_filter_0(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_500 ),
inference(forward_demodulation,[],[f5450,f4491]) ).
fof(f5450,plain,
( k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_500 ),
inference(resolution,[],[f5447,f3131]) ).
fof(f5499,plain,
( k2_filter_0(k1_lattice2(sK2),k5_lattices(sK2)) = a_2_0_filter_0(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_502 ),
inference(forward_demodulation,[],[f5491,f4491]) ).
fof(f5491,plain,
( k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_502 ),
inference(resolution,[],[f5488,f3131]) ).
fof(f19035,plain,
( spl31_1067
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_500
| ~ spl31_502 ),
inference(avatar_split_clause,[],[f5498,f5487,f5446,f4909,f4500,f2662,f19032]) ).
fof(f19032,plain,
( spl31_1067
<=> k18_filter_2(sK2,k6_lattices(sK2)) = a_2_0_filter_0(k1_lattice2(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1067])]) ).
fof(f5498,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = a_2_0_filter_0(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_500
| ~ spl31_502 ),
inference(forward_demodulation,[],[f5497,f5457]) ).
fof(f5497,plain,
( k2_filter_0(k1_lattice2(sK2),k6_lattices(sK2)) = a_2_0_filter_0(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_502 ),
inference(forward_demodulation,[],[f5490,f4502]) ).
fof(f5490,plain,
( k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_502 ),
inference(resolution,[],[f5488,f2664]) ).
fof(f19030,plain,
( spl31_1066
| ~ spl31_286
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3841,f3787,f2290,f19028]) ).
fof(f19028,plain,
( spl31_1066
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1066])]) ).
fof(f3841,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_403 ),
inference(resolution,[],[f3788,f2291]) ).
fof(f19026,plain,
( spl31_1065
| ~ spl31_287
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3838,f3787,f2294,f19024]) ).
fof(f19024,plain,
( spl31_1065
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1065])]) ).
fof(f3838,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_403 ),
inference(resolution,[],[f3788,f2295]) ).
fof(f19022,plain,
( spl31_1064
| ~ spl31_286
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3832,f3783,f2290,f19020]) ).
fof(f19020,plain,
( spl31_1064
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1064])]) ).
fof(f3832,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_402 ),
inference(resolution,[],[f3784,f2291]) ).
fof(f19018,plain,
( spl31_1063
| ~ spl31_287
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3829,f3783,f2294,f19016]) ).
fof(f19016,plain,
( spl31_1063
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1063])]) ).
fof(f3829,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_402 ),
inference(resolution,[],[f3784,f2295]) ).
fof(f19014,plain,
( spl31_1062
| ~ spl31_286
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3823,f3779,f2290,f19012]) ).
fof(f19012,plain,
( spl31_1062
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1062])]) ).
fof(f3823,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_401 ),
inference(resolution,[],[f3780,f2291]) ).
fof(f19010,plain,
( spl31_1061
| ~ spl31_287
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3820,f3779,f2294,f19008]) ).
fof(f19008,plain,
( spl31_1061
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1061])]) ).
fof(f3820,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_401 ),
inference(resolution,[],[f3780,f2295]) ).
fof(f19006,plain,
( spl31_1060
| ~ spl31_286
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3814,f3775,f2290,f19004]) ).
fof(f19004,plain,
( spl31_1060
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1060])]) ).
fof(f3814,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_400 ),
inference(resolution,[],[f3776,f2291]) ).
fof(f19002,plain,
( spl31_1059
| ~ spl31_287
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3811,f3775,f2294,f19000]) ).
fof(f19000,plain,
( spl31_1059
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1059])]) ).
fof(f3811,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_400 ),
inference(resolution,[],[f3776,f2295]) ).
fof(f18998,plain,
( spl31_1058
| ~ spl31_286
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3805,f3765,f2290,f18996]) ).
fof(f18996,plain,
( spl31_1058
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1058])]) ).
fof(f3805,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_398 ),
inference(resolution,[],[f3766,f2291]) ).
fof(f18994,plain,
( spl31_1057
| ~ spl31_287
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3802,f3765,f2294,f18992]) ).
fof(f18992,plain,
( spl31_1057
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1057])]) ).
fof(f3802,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_398 ),
inference(resolution,[],[f3766,f2295]) ).
fof(f18990,plain,
( spl31_1056
| ~ spl31_358
| ~ spl31_446
| ~ spl31_479
| ~ spl31_501 ),
inference(avatar_split_clause,[],[f5476,f5463,f4938,f4489,f3129,f18987]) ).
fof(f18987,plain,
( spl31_1056
<=> k2_filter_0(sK2,k5_lattices(sK2)) = a_2_0_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1056])]) ).
fof(f5476,plain,
( k2_filter_0(sK2,k5_lattices(sK2)) = a_2_0_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_479
| ~ spl31_501 ),
inference(forward_demodulation,[],[f5475,f4940]) ).
fof(f5475,plain,
( k18_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) = a_2_0_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_446
| ~ spl31_501 ),
inference(forward_demodulation,[],[f5467,f4491]) ).
fof(f5467,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_501 ),
inference(resolution,[],[f5464,f3131]) ).
fof(f18985,plain,
( spl31_1055
| ~ spl31_286
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3796,f3761,f2290,f18983]) ).
fof(f18983,plain,
( spl31_1055
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1055])]) ).
fof(f3796,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)) = k2_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_397 ),
inference(resolution,[],[f3762,f2291]) ).
fof(f18981,plain,
( spl31_1054
| ~ spl31_287
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3793,f3761,f2294,f18979]) ).
fof(f18979,plain,
( spl31_1054
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1054])]) ).
fof(f3793,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_397 ),
inference(resolution,[],[f3762,f2295]) ).
fof(f18977,plain,
( spl31_1053
| ~ spl31_187
| ~ spl31_298 ),
inference(avatar_split_clause,[],[f2460,f2452,f1659,f18975]) ).
fof(f18975,plain,
( spl31_1053
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_struct_0(sK27) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1053])]) ).
fof(f2460,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_struct_0(sK27) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_298 ),
inference(superposition,[],[f1660,f2454]) ).
fof(f18973,plain,
( spl31_1052
| ~ spl31_188
| ~ spl31_298 ),
inference(avatar_split_clause,[],[f2458,f2452,f1663,f18971]) ).
fof(f18971,plain,
( spl31_1052
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u2_lattices(sK27) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1052])]) ).
fof(f2458,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u2_lattices(sK27) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_298 ),
inference(superposition,[],[f1664,f2454]) ).
fof(f18969,plain,
( spl31_1051
| ~ spl31_189
| ~ spl31_298 ),
inference(avatar_split_clause,[],[f2456,f2452,f1667,f18967]) ).
fof(f18967,plain,
( spl31_1051
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_lattices(sK27) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1051])]) ).
fof(f2456,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK27
| u1_lattices(sK27) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_298 ),
inference(superposition,[],[f1668,f2454]) ).
fof(f18965,plain,
( spl31_1050
| ~ spl31_187
| ~ spl31_297 ),
inference(avatar_split_clause,[],[f2449,f2441,f1659,f18963]) ).
fof(f18963,plain,
( spl31_1050
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| k1_filter_2(sK26) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1050])]) ).
fof(f2449,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| k1_filter_2(sK26) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_297 ),
inference(superposition,[],[f1660,f2443]) ).
fof(f18961,plain,
( spl31_1049
| ~ spl31_188
| ~ spl31_297 ),
inference(avatar_split_clause,[],[f2447,f2441,f1663,f18959]) ).
fof(f18959,plain,
( spl31_1049
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| u2_lattices(sK26) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1049])]) ).
fof(f2447,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| u2_lattices(sK26) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_297 ),
inference(superposition,[],[f1664,f2443]) ).
fof(f18957,plain,
( spl31_1048
| ~ spl31_189
| ~ spl31_297 ),
inference(avatar_split_clause,[],[f2445,f2441,f1667,f18955]) ).
fof(f18955,plain,
( spl31_1048
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| u1_lattices(sK26) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1048])]) ).
fof(f2445,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK26
| u1_lattices(sK26) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_297 ),
inference(superposition,[],[f1668,f2443]) ).
fof(f18953,plain,
( spl31_1047
| ~ spl31_187
| ~ spl31_295 ),
inference(avatar_split_clause,[],[f2431,f2423,f1659,f18951]) ).
fof(f18951,plain,
( spl31_1047
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| k1_filter_2(sK25) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1047])]) ).
fof(f2431,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| k1_filter_2(sK25) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_295 ),
inference(superposition,[],[f1660,f2425]) ).
fof(f18949,plain,
( spl31_1046
| ~ spl31_188
| ~ spl31_295 ),
inference(avatar_split_clause,[],[f2429,f2423,f1663,f18947]) ).
fof(f18947,plain,
( spl31_1046
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| u2_lattices(sK25) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1046])]) ).
fof(f2429,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| u2_lattices(sK25) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_295 ),
inference(superposition,[],[f1664,f2425]) ).
fof(f18945,plain,
( spl31_1045
| ~ spl31_315
| ~ spl31_447
| ~ spl31_481
| ~ spl31_501 ),
inference(avatar_split_clause,[],[f5474,f5463,f4960,f4500,f2662,f18942]) ).
fof(f18942,plain,
( spl31_1045
<=> k2_filter_0(sK2,k6_lattices(sK2)) = a_2_0_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1045])]) ).
fof(f5474,plain,
( k2_filter_0(sK2,k6_lattices(sK2)) = a_2_0_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_481
| ~ spl31_501 ),
inference(forward_demodulation,[],[f5473,f4962]) ).
fof(f5473,plain,
( k18_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) = a_2_0_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_447
| ~ spl31_501 ),
inference(forward_demodulation,[],[f5466,f4502]) ).
fof(f5466,plain,
( k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_501 ),
inference(resolution,[],[f5464,f2664]) ).
fof(f18940,plain,
( spl31_1044
| ~ spl31_189
| ~ spl31_295 ),
inference(avatar_split_clause,[],[f2427,f2423,f1667,f18938]) ).
fof(f18938,plain,
( spl31_1044
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| u1_lattices(sK25) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1044])]) ).
fof(f2427,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK25
| u1_lattices(sK25) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_295 ),
inference(superposition,[],[f1668,f2425]) ).
fof(f18936,plain,
( spl31_1043
| ~ spl31_187
| ~ spl31_293 ),
inference(avatar_split_clause,[],[f2413,f2405,f1659,f18934]) ).
fof(f18934,plain,
( spl31_1043
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1043])]) ).
fof(f2413,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_struct_0(sK24) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_293 ),
inference(superposition,[],[f1660,f2407]) ).
fof(f18932,plain,
( spl31_1042
| ~ spl31_188
| ~ spl31_293 ),
inference(avatar_split_clause,[],[f2411,f2405,f1663,f18930]) ).
fof(f18930,plain,
( spl31_1042
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u2_lattices(sK24) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1042])]) ).
fof(f2411,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u2_lattices(sK24) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_293 ),
inference(superposition,[],[f1664,f2407]) ).
fof(f18928,plain,
( spl31_1041
| ~ spl31_189
| ~ spl31_293 ),
inference(avatar_split_clause,[],[f2409,f2405,f1667,f18926]) ).
fof(f18926,plain,
( spl31_1041
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_lattices(sK24) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1041])]) ).
fof(f2409,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK24
| u1_lattices(sK24) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_293 ),
inference(superposition,[],[f1668,f2407]) ).
fof(f18618,plain,
( spl31_1040
| ~ spl31_358
| ~ spl31_446
| ~ spl31_473
| ~ spl31_500 ),
inference(avatar_split_clause,[],[f5459,f5446,f4895,f4489,f3129,f18615]) ).
fof(f18615,plain,
( spl31_1040
<=> k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_0(k1_lattice2(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1040])]) ).
fof(f18583,plain,
( spl31_1039
| ~ spl31_243
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4205,f4060,f2031,f18581]) ).
fof(f18581,plain,
( spl31_1039
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))) = sK16(sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1039])]) ).
fof(f2031,plain,
( spl31_243
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_243])]) ).
fof(f4205,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))) = sK16(sK12(a_2_0_filter_2(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) )
| ~ spl31_243
| ~ spl31_421 ),
inference(resolution,[],[f4061,f2032]) ).
fof(f2032,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl31_243 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f18579,plain,
( spl31_1038
| ~ spl31_243
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4180,f4056,f2031,f18577]) ).
fof(f18577,plain,
( spl31_1038
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1038])]) ).
fof(f4180,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)) = sK16(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) )
| ~ spl31_243
| ~ spl31_420 ),
inference(resolution,[],[f4057,f2032]) ).
fof(f18575,plain,
( spl31_1037
| ~ spl31_243
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4146,f4052,f2031,f18573]) ).
fof(f18573,plain,
( spl31_1037
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))) = sK15(sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1037])]) ).
fof(f4146,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))) = sK15(sK12(a_2_0_filter_0(X1,X0),sK10(k1_zfmisc_1(X2))),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) )
| ~ spl31_243
| ~ spl31_419 ),
inference(resolution,[],[f4053,f2032]) ).
fof(f18571,plain,
( spl31_1036
| ~ spl31_243
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4122,f4048,f2031,f18569]) ).
fof(f18569,plain,
( spl31_1036
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1036])]) ).
fof(f4122,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)) = sK15(sK12(sK10(k1_zfmisc_1(X2)),a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = sK10(k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) )
| ~ spl31_243
| ~ spl31_418 ),
inference(resolution,[],[f4049,f2032]) ).
fof(f18567,plain,
( spl31_1035
| ~ spl31_361
| ~ spl31_382 ),
inference(avatar_split_clause,[],[f3490,f3464,f3225,f18565]) ).
fof(f18565,plain,
( spl31_1035
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,k1_zfmisc_1(u1_struct_0(X0)),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(a_2_0_filter_2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1035])]) ).
fof(f3225,plain,
( spl31_361
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_361])]) ).
fof(f3490,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,k1_zfmisc_1(u1_struct_0(X0)),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(a_2_0_filter_2(X1,X2),X0) )
| ~ spl31_361
| ~ spl31_382 ),
inference(resolution,[],[f3465,f3226]) ).
fof(f3226,plain,
( ! [X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_filter_0(X0,X1) )
| ~ spl31_361 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f18563,plain,
( spl31_1034
| ~ spl31_362
| ~ spl31_382 ),
inference(avatar_split_clause,[],[f3489,f3464,f3229,f18561]) ).
fof(f18561,plain,
( spl31_1034
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,k1_zfmisc_1(u1_struct_0(X0)),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(a_2_0_filter_2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1034])]) ).
fof(f3229,plain,
( spl31_362
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_362])]) ).
fof(f3489,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,k1_zfmisc_1(u1_struct_0(X0)),X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(a_2_0_filter_2(X1,X2),X0) )
| ~ spl31_362
| ~ spl31_382 ),
inference(resolution,[],[f3465,f3230]) ).
fof(f3230,plain,
( ! [X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_lattice4(X0,X1) )
| ~ spl31_362 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f18559,plain,
( spl31_1033
| ~ spl31_361
| ~ spl31_380 ),
inference(avatar_split_clause,[],[f3483,f3456,f3225,f18557]) ).
fof(f18557,plain,
( spl31_1033
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(a_2_0_filter_0(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1033])]) ).
fof(f3483,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(a_2_0_filter_0(X1,X2),X0) )
| ~ spl31_361
| ~ spl31_380 ),
inference(resolution,[],[f3457,f3226]) ).
fof(f18555,plain,
( spl31_1032
| ~ spl31_362
| ~ spl31_380 ),
inference(avatar_split_clause,[],[f3482,f3456,f3229,f18553]) ).
fof(f18553,plain,
( spl31_1032
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(a_2_0_filter_0(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1032])]) ).
fof(f3482,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(u1_struct_0(X0)),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(a_2_0_filter_0(X1,X2),X0) )
| ~ spl31_362
| ~ spl31_380 ),
inference(resolution,[],[f3457,f3230]) ).
fof(f18551,plain,
( spl31_1031
| ~ spl31_315
| ~ spl31_447
| ~ spl31_475
| ~ spl31_500 ),
inference(avatar_split_clause,[],[f5457,f5446,f4909,f4500,f2662,f18548]) ).
fof(f18548,plain,
( spl31_1031
<=> k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_0(k1_lattice2(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1031])]) ).
fof(f18408,plain,
( spl31_1030
| ~ spl31_65
| ~ spl31_441
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f5441,f5080,f4309,f832,f18405]) ).
fof(f18405,plain,
( spl31_1030
<=> sK10(k1_filter_2(sK2)) = k5_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1030])]) ).
fof(f17599,plain,
( spl31_1029
| ~ spl31_128
| ~ spl31_452 ),
inference(avatar_split_clause,[],[f4553,f4549,f1169,f17597]) ).
fof(f17597,plain,
( spl31_1029
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| m1_subset_1(X1,k1_filter_2(sK2))
| ~ r2_hidden(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1029])]) ).
fof(f1169,plain,
( spl31_128
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_128])]) ).
fof(f4553,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,sK2)
| m1_subset_1(X1,k1_filter_2(sK2))
| ~ r2_hidden(X1,X0) )
| ~ spl31_128
| ~ spl31_452 ),
inference(resolution,[],[f4550,f1170]) ).
fof(f1170,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl31_128 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f17343,plain,
( spl31_1028
| ~ spl31_86
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4185,f4060,f946,f17341]) ).
fof(f17341,plain,
( spl31_1028
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),X2) = sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)
| a_2_0_filter_2(X1,X0) = X2
| ~ r2_hidden(X2,sK12(a_2_0_filter_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1028])]) ).
fof(f946,plain,
( spl31_86
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_86])]) ).
fof(f4185,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),X2) = sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0)
| a_2_0_filter_2(X1,X0) = X2
| ~ r2_hidden(X2,sK12(a_2_0_filter_2(X1,X0),X2)) )
| ~ spl31_86
| ~ spl31_421 ),
inference(resolution,[],[f4061,f947]) ).
fof(f947,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl31_86 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f17339,plain,
( spl31_1027
| ~ spl31_86
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4160,f4056,f946,f17337]) ).
fof(f17337,plain,
( spl31_1027
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(X2,a_2_0_filter_2(X1,X0)) = sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = X2
| ~ r2_hidden(X2,sK12(X2,a_2_0_filter_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1027])]) ).
fof(f4160,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(X2,a_2_0_filter_2(X1,X0)) = sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0)
| a_2_0_filter_2(X1,X0) = X2
| ~ r2_hidden(X2,sK12(X2,a_2_0_filter_2(X1,X0))) )
| ~ spl31_86
| ~ spl31_420 ),
inference(resolution,[],[f4057,f947]) ).
fof(f17335,plain,
( spl31_1026
| ~ spl31_86
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4127,f4052,f946,f17333]) ).
fof(f17333,plain,
( spl31_1026
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),X2) = sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)
| a_2_0_filter_0(X1,X0) = X2
| ~ r2_hidden(X2,sK12(a_2_0_filter_0(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1026])]) ).
fof(f4127,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),X2) = sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0)
| a_2_0_filter_0(X1,X0) = X2
| ~ r2_hidden(X2,sK12(a_2_0_filter_0(X1,X0),X2)) )
| ~ spl31_86
| ~ spl31_419 ),
inference(resolution,[],[f4053,f947]) ).
fof(f17331,plain,
( spl31_1025
| ~ spl31_86
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4103,f4048,f946,f17329]) ).
fof(f17329,plain,
( spl31_1025
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(X2,a_2_0_filter_0(X1,X0)) = sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = X2
| ~ r2_hidden(X2,sK12(X2,a_2_0_filter_0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1025])]) ).
fof(f4103,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(X2,a_2_0_filter_0(X1,X0)) = sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0)
| a_2_0_filter_0(X1,X0) = X2
| ~ r2_hidden(X2,sK12(X2,a_2_0_filter_0(X1,X0))) )
| ~ spl31_86
| ~ spl31_418 ),
inference(resolution,[],[f4049,f947]) ).
fof(f17285,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_564
| ~ spl31_930
| ~ spl31_931
| spl31_1024
| ~ spl31_256
| ~ spl31_261
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4100,f4044,f2167,f2119,f17283,f13917,f13913,f6244,f657,f702,f662]) ).
fof(f662,plain,
( spl31_28
<=> v3_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_28])]) ).
fof(f702,plain,
( spl31_36
<=> v10_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_36])]) ).
fof(f657,plain,
( spl31_27
<=> l3_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_27])]) ).
fof(f6244,plain,
( spl31_564
<=> v3_struct_0(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_564])]) ).
fof(f13913,plain,
( spl31_930
<=> v10_lattices(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_930])]) ).
fof(f17283,plain,
( spl31_1024
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK26)),k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1024])]) ).
fof(f2119,plain,
( spl31_256
<=> u1_struct_0(sK26) = k17_filter_2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_256])]) ).
fof(f2167,plain,
( spl31_261
<=> k1_filter_2(sK26) = k17_filter_2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_261])]) ).
fof(f4100,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26))
| k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK26)),k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_417 ),
inference(forward_demodulation,[],[f4093,f2169]) ).
fof(f2169,plain,
( k1_filter_2(sK26) = k17_filter_2(sK26)
| ~ spl31_261 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f4093,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26))
| k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK26)),k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_256
| ~ spl31_417 ),
inference(superposition,[],[f4045,f2121]) ).
fof(f2121,plain,
( u1_struct_0(sK26) = k17_filter_2(sK26)
| ~ spl31_256 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f17239,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_926
| ~ spl31_927
| ~ spl31_928
| spl31_1023
| ~ spl31_255
| ~ spl31_258
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4099,f4044,f2149,f2096,f17237,f13903,f13899,f13895,f607,f652,f612]) ).
fof(f612,plain,
( spl31_18
<=> v3_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_18])]) ).
fof(f652,plain,
( spl31_26
<=> v10_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_26])]) ).
fof(f607,plain,
( spl31_17
<=> l3_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_17])]) ).
fof(f13895,plain,
( spl31_926
<=> v3_struct_0(k1_lattice2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_926])]) ).
fof(f13899,plain,
( spl31_927
<=> v10_lattices(k1_lattice2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_927])]) ).
fof(f17237,plain,
( spl31_1023
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK25)),k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1023])]) ).
fof(f2096,plain,
( spl31_255
<=> u1_struct_0(sK25) = k17_filter_2(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_255])]) ).
fof(f2149,plain,
( spl31_258
<=> k1_filter_2(sK25) = k17_filter_2(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_258])]) ).
fof(f4099,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK25)),k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_417 ),
inference(forward_demodulation,[],[f4092,f2151]) ).
fof(f2151,plain,
( k1_filter_2(sK25) = k17_filter_2(sK25)
| ~ spl31_258 ),
inference(avatar_component_clause,[],[f2149]) ).
fof(f4092,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK25)),k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_255
| ~ spl31_417 ),
inference(superposition,[],[f4045,f2098]) ).
fof(f2098,plain,
( u1_struct_0(sK25) = k17_filter_2(sK25)
| ~ spl31_255 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f17235,plain,
( spl31_1022
| ~ spl31_128
| ~ spl31_451 ),
inference(avatar_split_clause,[],[f4539,f4535,f1169,f17233]) ).
fof(f17233,plain,
( spl31_1022
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| m1_subset_1(X1,k1_filter_2(sK2))
| ~ r2_hidden(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1022])]) ).
fof(f4539,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,sK2)
| m1_subset_1(X1,k1_filter_2(sK2))
| ~ r2_hidden(X1,X0) )
| ~ spl31_128
| ~ spl31_451 ),
inference(resolution,[],[f4536,f1170]) ).
fof(f17231,plain,
( spl31_1021
| ~ spl31_108
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4097,f4044,f1073,f17229]) ).
fof(f17229,plain,
( spl31_1021
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1021])]) ).
fof(f1073,plain,
( spl31_108
<=> ! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_108])]) ).
fof(f4097,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_417 ),
inference(duplicate_literal_removal,[],[f4082]) ).
fof(f4082,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_417 ),
inference(resolution,[],[f4045,f1074]) ).
fof(f1074,plain,
( ! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f17227,plain,
( spl31_1020
| ~ spl31_109
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4096,f4044,f1077,f17225]) ).
fof(f17225,plain,
( spl31_1020
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1020])]) ).
fof(f1077,plain,
( spl31_109
<=> ! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_109])]) ).
fof(f4096,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_417 ),
inference(duplicate_literal_removal,[],[f4084]) ).
fof(f4084,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_417 ),
inference(resolution,[],[f4045,f1078]) ).
fof(f1078,plain,
( ! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f17223,plain,
( spl31_1019
| ~ spl31_65
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4085,f4044,f832,f17221]) ).
fof(f17221,plain,
( spl31_1019
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1019])]) ).
fof(f4085,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_417 ),
inference(resolution,[],[f4045,f833]) ).
fof(f17177,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_564
| ~ spl31_930
| ~ spl31_931
| spl31_1018
| ~ spl31_256
| ~ spl31_261
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4081,f4040,f2167,f2119,f17175,f13917,f13913,f6244,f657,f702,f662]) ).
fof(f17175,plain,
( spl31_1018
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK26)),k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1018])]) ).
fof(f4081,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26))
| k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK26)),k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_416 ),
inference(forward_demodulation,[],[f4074,f2169]) ).
fof(f4074,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26))
| k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK26)),k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_256
| ~ spl31_416 ),
inference(superposition,[],[f4041,f2121]) ).
fof(f17131,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_926
| ~ spl31_927
| ~ spl31_928
| spl31_1017
| ~ spl31_255
| ~ spl31_258
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4080,f4040,f2149,f2096,f17129,f13903,f13899,f13895,f607,f652,f612]) ).
fof(f17129,plain,
( spl31_1017
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK25)),k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1017])]) ).
fof(f4080,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK25)),k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_416 ),
inference(forward_demodulation,[],[f4073,f2151]) ).
fof(f4073,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25))
| k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK25)),k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_255
| ~ spl31_416 ),
inference(superposition,[],[f4041,f2098]) ).
fof(f17127,plain,
( spl31_1016
| ~ spl31_108
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4078,f4040,f1073,f17125]) ).
fof(f17125,plain,
( spl31_1016
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1016])]) ).
fof(f4078,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_416 ),
inference(duplicate_literal_removal,[],[f4063]) ).
fof(f4063,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_416 ),
inference(resolution,[],[f4041,f1074]) ).
fof(f17123,plain,
( spl31_1015
| ~ spl31_109
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4077,f4040,f1077,f17121]) ).
fof(f17121,plain,
( spl31_1015
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1015])]) ).
fof(f4077,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_416 ),
inference(duplicate_literal_removal,[],[f4065]) ).
fof(f4065,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_416 ),
inference(resolution,[],[f4041,f1078]) ).
fof(f17119,plain,
( spl31_1014
| ~ spl31_65
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4066,f4040,f832,f17117]) ).
fof(f17117,plain,
( spl31_1014
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1014])]) ).
fof(f4066,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_416 ),
inference(resolution,[],[f4041,f833]) ).
fof(f17115,plain,
( spl31_1013
| ~ spl31_235
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3916,f3885,f1984,f17113]) ).
fof(f17113,plain,
( spl31_1013
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1013])]) ).
fof(f1984,plain,
( spl31_235
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK10(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_235])]) ).
fof(f3916,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) )
| ~ spl31_235
| ~ spl31_409 ),
inference(resolution,[],[f3886,f1985]) ).
fof(f1985,plain,
( ! [X0] :
( r2_hidden(sK10(X0),X0)
| v1_xboole_0(X0) )
| ~ spl31_235 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f17111,plain,
( spl31_1012
| ~ spl31_235
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3907,f3881,f1984,f17109]) ).
fof(f17109,plain,
( spl31_1012
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1012])]) ).
fof(f3907,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) )
| ~ spl31_235
| ~ spl31_408 ),
inference(resolution,[],[f3882,f1985]) ).
fof(f17107,plain,
( spl31_1011
| ~ spl31_235
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3898,f3877,f1984,f17105]) ).
fof(f17105,plain,
( spl31_1011
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1011])]) ).
fof(f3898,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) )
| ~ spl31_235
| ~ spl31_407 ),
inference(resolution,[],[f3878,f1985]) ).
fof(f17103,plain,
( spl31_1010
| ~ spl31_235
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3889,f3873,f1984,f17101]) ).
fof(f17101,plain,
( spl31_1010
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1010])]) ).
fof(f3889,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) )
| ~ spl31_235
| ~ spl31_406 ),
inference(resolution,[],[f3874,f1985]) ).
fof(f17099,plain,
( spl31_1009
| ~ spl31_286
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3681,f3653,f2290,f17097]) ).
fof(f17097,plain,
( spl31_1009
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1009])]) ).
fof(f3681,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK16(sK12(a_2_0_filter_2(X1,X0),X2),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_393 ),
inference(resolution,[],[f3654,f2291]) ).
fof(f17095,plain,
( spl31_1008
| ~ spl31_287
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3678,f3653,f2294,f17093]) ).
fof(f17093,plain,
( spl31_1008
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1008])]) ).
fof(f3678,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK12(X2,a_2_0_filter_2(X1,X0)),X1,X0))
| a_2_0_filter_2(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_393 ),
inference(resolution,[],[f3654,f2295]) ).
fof(f17091,plain,
( spl31_1007
| ~ spl31_286
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3672,f3649,f2290,f17089]) ).
fof(f17089,plain,
( spl31_1007
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1007])]) ).
fof(f3672,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0) = k5_filter_2(X1,sK15(sK12(a_2_0_filter_0(X1,X0),X2),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_286
| ~ spl31_392 ),
inference(resolution,[],[f3650,f2291]) ).
fof(f17087,plain,
( spl31_1006
| ~ spl31_287
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3669,f3649,f2294,f17085]) ).
fof(f17085,plain,
( spl31_1006
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1006])]) ).
fof(f3669,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK12(X2,a_2_0_filter_0(X1,X0)),X1,X0))
| a_2_0_filter_0(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl31_287
| ~ spl31_392 ),
inference(resolution,[],[f3650,f2295]) ).
fof(f17083,plain,
( spl31_1005
| ~ spl31_173
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2643,f2572,f1546,f17081]) ).
fof(f17081,plain,
( spl31_1005
<=> ! [X2,X0,X1] :
( m1_subset_1(sK12(X0,a_2_0_filter_2(X1,X2)),X0)
| a_2_0_filter_2(X1,X2) = X0
| sK12(X0,a_2_0_filter_2(X1,X2)) = sK16(sK12(X0,a_2_0_filter_2(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1005])]) ).
fof(f2643,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK12(X0,a_2_0_filter_2(X1,X2)),X0)
| a_2_0_filter_2(X1,X2) = X0
| sK12(X0,a_2_0_filter_2(X1,X2)) = sK16(sK12(X0,a_2_0_filter_2(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_173
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1547]) ).
fof(f17079,plain,
( spl31_1004
| ~ spl31_172
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2642,f2572,f1542,f17077]) ).
fof(f17077,plain,
( spl31_1004
<=> ! [X2,X0,X1] :
( m1_subset_1(sK12(X0,a_2_0_filter_0(X1,X2)),X0)
| a_2_0_filter_0(X1,X2) = X0
| sK12(X0,a_2_0_filter_0(X1,X2)) = sK15(sK12(X0,a_2_0_filter_0(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1004])]) ).
fof(f2642,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK12(X0,a_2_0_filter_0(X1,X2)),X0)
| a_2_0_filter_0(X1,X2) = X0
| sK12(X0,a_2_0_filter_0(X1,X2)) = sK15(sK12(X0,a_2_0_filter_0(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_172
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1543]) ).
fof(f17075,plain,
( ~ spl31_1003
| ~ spl31_86
| ~ spl31_986 ),
inference(avatar_split_clause,[],[f17040,f16636,f946,f17072]) ).
fof(f17040,plain,
( ~ r2_hidden(u1_struct_0(k1_lattice2(sK2)),k6_lattices(sK2))
| ~ spl31_86
| ~ spl31_986 ),
inference(resolution,[],[f16638,f947]) ).
fof(f17070,plain,
( spl31_1002
| ~ spl31_173
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2619,f2564,f1546,f17068]) ).
fof(f17068,plain,
( spl31_1002
<=> ! [X2,X0,X1] :
( m1_subset_1(sK12(a_2_0_filter_2(X0,X1),X2),X2)
| a_2_0_filter_2(X0,X1) = X2
| sK12(a_2_0_filter_2(X0,X1),X2) = sK16(sK12(a_2_0_filter_2(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1002])]) ).
fof(f2619,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK12(a_2_0_filter_2(X0,X1),X2),X2)
| a_2_0_filter_2(X0,X1) = X2
| sK12(a_2_0_filter_2(X0,X1),X2) = sK16(sK12(a_2_0_filter_2(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_173
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1547]) ).
fof(f17066,plain,
( spl31_1001
| ~ spl31_172
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2618,f2564,f1542,f17064]) ).
fof(f17064,plain,
( spl31_1001
<=> ! [X2,X0,X1] :
( m1_subset_1(sK12(a_2_0_filter_0(X0,X1),X2),X2)
| a_2_0_filter_0(X0,X1) = X2
| sK12(a_2_0_filter_0(X0,X1),X2) = sK15(sK12(a_2_0_filter_0(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1001])]) ).
fof(f2618,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK12(a_2_0_filter_0(X0,X1),X2),X2)
| a_2_0_filter_0(X0,X1) = X2
| sK12(a_2_0_filter_0(X0,X1),X2) = sK15(sK12(a_2_0_filter_0(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_172
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1543]) ).
fof(f17056,plain,
( ~ spl31_36
| spl31_28
| ~ spl31_32
| ~ spl31_34
| ~ spl31_35
| ~ spl31_27
| spl31_1000
| ~ spl31_256
| ~ spl31_261
| ~ spl31_414 ),
inference(avatar_split_clause,[],[f4034,f4008,f2167,f2119,f17054,f657,f697,f692,f682,f662,f702]) ).
fof(f682,plain,
( spl31_32
<=> v6_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_32])]) ).
fof(f692,plain,
( spl31_34
<=> v8_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_34])]) ).
fof(f697,plain,
( spl31_35
<=> v9_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_35])]) ).
fof(f17054,plain,
( spl31_1000
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| r1_lattices(sK26,X1,sK15(X0,sK26,X1))
| ~ m1_subset_1(sK15(X0,sK26,X1),k1_filter_2(sK26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_1000])]) ).
fof(f4008,plain,
( spl31_414
<=> ! [X2,X0,X1] :
( r1_lattices(X0,X1,sK15(X2,X0,X1))
| ~ m1_subset_1(sK15(X2,X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ v10_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_414])]) ).
fof(f4034,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| ~ m1_subset_1(sK15(X0,sK26,X1),k1_filter_2(sK26))
| r1_lattices(sK26,X1,sK15(X0,sK26,X1))
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26)
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| ~ v10_lattices(sK26) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_414 ),
inference(forward_demodulation,[],[f4033,f2169]) ).
fof(f4033,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK15(X0,sK26,X1),k1_filter_2(sK26))
| r1_lattices(sK26,X1,sK15(X0,sK26,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26)
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| ~ v10_lattices(sK26) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_414 ),
inference(forward_demodulation,[],[f4027,f2169]) ).
fof(f4027,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK15(X0,sK26,X1),k17_filter_2(sK26))
| r1_lattices(sK26,X1,sK15(X0,sK26,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26)
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| ~ v10_lattices(sK26) )
| ~ spl31_256
| ~ spl31_414 ),
inference(superposition,[],[f4009,f2121]) ).
fof(f4009,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK15(X2,X0,X1),u1_struct_0(X0))
| r1_lattices(X0,X1,sK15(X2,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ v10_lattices(X0) )
| ~ spl31_414 ),
inference(avatar_component_clause,[],[f4008]) ).
fof(f17050,plain,
( ~ spl31_26
| spl31_18
| ~ spl31_22
| ~ spl31_24
| ~ spl31_25
| ~ spl31_17
| spl31_999
| ~ spl31_255
| ~ spl31_258
| ~ spl31_414 ),
inference(avatar_split_clause,[],[f4032,f4008,f2149,f2096,f17048,f607,f647,f642,f632,f612,f652]) ).
fof(f632,plain,
( spl31_22
<=> v6_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_22])]) ).
fof(f642,plain,
( spl31_24
<=> v8_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_24])]) ).
fof(f647,plain,
( spl31_25
<=> v9_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_25])]) ).
fof(f17048,plain,
( spl31_999
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1))
| r1_lattices(sK25,X1,sK15(X0,sK25,X1))
| ~ m1_subset_1(sK15(X0,sK25,X1),k1_filter_2(sK25)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_999])]) ).
fof(f4032,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| ~ m1_subset_1(sK15(X0,sK25,X1),k1_filter_2(sK25))
| r1_lattices(sK25,X1,sK15(X0,sK25,X1))
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25)
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1))
| ~ v10_lattices(sK25) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_414 ),
inference(forward_demodulation,[],[f4031,f2151]) ).
fof(f4031,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK15(X0,sK25,X1),k1_filter_2(sK25))
| r1_lattices(sK25,X1,sK15(X0,sK25,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25)
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1))
| ~ v10_lattices(sK25) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_414 ),
inference(forward_demodulation,[],[f4026,f2151]) ).
fof(f4026,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK15(X0,sK25,X1),k17_filter_2(sK25))
| r1_lattices(sK25,X1,sK15(X0,sK25,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25)
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1))
| ~ v10_lattices(sK25) )
| ~ spl31_255
| ~ spl31_414 ),
inference(superposition,[],[f4009,f2098]) ).
fof(f17044,plain,
( ~ spl31_36
| spl31_28
| ~ spl31_32
| ~ spl31_34
| ~ spl31_35
| ~ spl31_27
| spl31_998
| ~ spl31_256
| ~ spl31_261
| ~ spl31_413 ),
inference(avatar_split_clause,[],[f4022,f4004,f2167,f2119,f17042,f657,f697,f692,f682,f662,f702]) ).
fof(f17042,plain,
( spl31_998
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| r1_lattices(sK26,sK16(X0,sK26,X1),X1)
| ~ m1_subset_1(sK16(X0,sK26,X1),k1_filter_2(sK26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_998])]) ).
fof(f4004,plain,
( spl31_413
<=> ! [X2,X0,X1] :
( r1_lattices(X0,sK16(X1,X0,X2),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(sK16(X1,X0,X2),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ v10_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_413])]) ).
fof(f4022,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| ~ m1_subset_1(sK16(X0,sK26,X1),k1_filter_2(sK26))
| r1_lattices(sK26,sK16(X0,sK26,X1),X1)
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26)
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| ~ v10_lattices(sK26) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_413 ),
inference(forward_demodulation,[],[f4021,f2169]) ).
fof(f4021,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK16(X0,sK26,X1),k1_filter_2(sK26))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| r1_lattices(sK26,sK16(X0,sK26,X1),X1)
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26)
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| ~ v10_lattices(sK26) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_413 ),
inference(forward_demodulation,[],[f4015,f2169]) ).
fof(f4015,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK16(X0,sK26,X1),k17_filter_2(sK26))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| r1_lattices(sK26,sK16(X0,sK26,X1),X1)
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26)
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| ~ v10_lattices(sK26) )
| ~ spl31_256
| ~ spl31_413 ),
inference(superposition,[],[f4005,f2121]) ).
fof(f4005,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK16(X1,X0,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r1_lattices(X0,sK16(X1,X0,X2),X2)
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ v10_lattices(X0) )
| ~ spl31_413 ),
inference(avatar_component_clause,[],[f4004]) ).
fof(f17035,plain,
( ~ spl31_26
| spl31_18
| ~ spl31_22
| ~ spl31_24
| ~ spl31_25
| ~ spl31_17
| spl31_997
| ~ spl31_255
| ~ spl31_258
| ~ spl31_413 ),
inference(avatar_split_clause,[],[f4020,f4004,f2149,f2096,f17033,f607,f647,f642,f632,f612,f652]) ).
fof(f17033,plain,
( spl31_997
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1))
| r1_lattices(sK25,sK16(X0,sK25,X1),X1)
| ~ m1_subset_1(sK16(X0,sK25,X1),k1_filter_2(sK25)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_997])]) ).
fof(f4020,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| ~ m1_subset_1(sK16(X0,sK25,X1),k1_filter_2(sK25))
| r1_lattices(sK25,sK16(X0,sK25,X1),X1)
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25)
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1))
| ~ v10_lattices(sK25) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_413 ),
inference(forward_demodulation,[],[f4019,f2151]) ).
fof(f4019,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK16(X0,sK25,X1),k1_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| r1_lattices(sK25,sK16(X0,sK25,X1),X1)
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25)
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1))
| ~ v10_lattices(sK25) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_413 ),
inference(forward_demodulation,[],[f4014,f2151]) ).
fof(f4014,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK16(X0,sK25,X1),k17_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| r1_lattices(sK25,sK16(X0,sK25,X1),X1)
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25)
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1))
| ~ v10_lattices(sK25) )
| ~ spl31_255
| ~ spl31_413 ),
inference(superposition,[],[f4005,f2098]) ).
fof(f17031,plain,
( spl31_996
| ~ spl31_323
| ~ spl31_382 ),
inference(avatar_split_clause,[],[f3488,f3464,f2789,f17029]) ).
fof(f17029,plain,
( spl31_996
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_2_0_filter_2(X2,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_996])]) ).
fof(f2789,plain,
( spl31_323
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_323])]) ).
fof(f3488,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_2_0_filter_2(X2,X3),X0,X1) )
| ~ spl31_323
| ~ spl31_382 ),
inference(resolution,[],[f3465,f2790]) ).
fof(f2790,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl31_323 ),
inference(avatar_component_clause,[],[f2789]) ).
fof(f17027,plain,
( spl31_995
| ~ spl31_323
| ~ spl31_380 ),
inference(avatar_split_clause,[],[f3481,f3456,f2789,f17025]) ).
fof(f17025,plain,
( spl31_995
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_2_0_filter_0(X2,X3),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_995])]) ).
fof(f3481,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r3_lattices(X2,X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_2_0_filter_0(X2,X3),X0,X1) )
| ~ spl31_323
| ~ spl31_380 ),
inference(resolution,[],[f3457,f2790]) ).
fof(f16801,plain,
( spl31_994
| ~ spl31_180
| ~ spl31_409 ),
inference(avatar_split_clause,[],[f3923,f3885,f1611,f16799]) ).
fof(f16799,plain,
( spl31_994
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X2,X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X2,X1,X0)))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_994])]) ).
fof(f3923,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X2,X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X2,X1,X0)))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_180
| ~ spl31_409 ),
inference(duplicate_literal_removal,[],[f3915]) ).
fof(f3915,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X2,X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X2,X1,X0)))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_180
| ~ spl31_409 ),
inference(resolution,[],[f3886,f1612]) ).
fof(f16797,plain,
( spl31_993
| ~ spl31_180
| ~ spl31_408 ),
inference(avatar_split_clause,[],[f3914,f3881,f1611,f16795]) ).
fof(f16795,plain,
( spl31_993
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(X2,X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X2,X1,X0)))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_993])]) ).
fof(f3914,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(X2,X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X2,X1,X0)))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_180
| ~ spl31_408 ),
inference(duplicate_literal_removal,[],[f3906]) ).
fof(f3906,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(X2,X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X2,X1,X0)))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_180
| ~ spl31_408 ),
inference(resolution,[],[f3882,f1612]) ).
fof(f16793,plain,
( spl31_992
| ~ spl31_179
| ~ spl31_407 ),
inference(avatar_split_clause,[],[f3905,f3877,f1607,f16791]) ).
fof(f16791,plain,
( spl31_992
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X2,X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X2,X1,X0)))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_992])]) ).
fof(f3905,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X2,X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X2,X1,X0)))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_179
| ~ spl31_407 ),
inference(duplicate_literal_removal,[],[f3897]) ).
fof(f3897,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X2,X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X2,X1,X0)))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_179
| ~ spl31_407 ),
inference(resolution,[],[f3878,f1608]) ).
fof(f16789,plain,
( spl31_991
| ~ spl31_179
| ~ spl31_406 ),
inference(avatar_split_clause,[],[f3896,f3873,f1607,f16787]) ).
fof(f16787,plain,
( spl31_991
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(X2,X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X2,X1,X0)))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_991])]) ).
fof(f3896,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(X2,X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X2,X1,X0)))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_179
| ~ spl31_406 ),
inference(duplicate_literal_removal,[],[f3888]) ).
fof(f3888,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(X2,X1,X0)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X2,X1,X0)))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_179
| ~ spl31_406 ),
inference(resolution,[],[f3874,f1608]) ).
fof(f16785,plain,
( spl31_990
| ~ spl31_178
| ~ spl31_385 ),
inference(avatar_split_clause,[],[f3533,f3500,f1570,f16783]) ).
fof(f16783,plain,
( spl31_990
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,X2) = sK16(sK16(X0,X1,X2),X1,X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_990])]) ).
fof(f1570,plain,
( spl31_178
<=> ! [X2,X0,X1] :
( r3_lattices(X1,sK16(X0,X1,X2),X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_178])]) ).
fof(f3500,plain,
( spl31_385
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK16(X1,X0,X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_385])]) ).
fof(f3533,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,X2) = sK16(sK16(X0,X1,X2),X1,X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) )
| ~ spl31_178
| ~ spl31_385 ),
inference(duplicate_literal_removal,[],[f3532]) ).
fof(f3532,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,X2) = sK16(sK16(X0,X1,X2),X1,X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_178
| ~ spl31_385 ),
inference(resolution,[],[f3501,f1571]) ).
fof(f1571,plain,
( ! [X2,X0,X1] :
( r3_lattices(X1,sK16(X0,X1,X2),X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_178 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f3501,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK16(X1,X0,X2) = X1 )
| ~ spl31_385 ),
inference(avatar_component_clause,[],[f3500]) ).
fof(f16781,plain,
( spl31_989
| ~ spl31_176
| ~ spl31_384 ),
inference(avatar_split_clause,[],[f3530,f3496,f1562,f16779]) ).
fof(f16779,plain,
( spl31_989
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,X2) = sK15(sK15(X0,X1,X2),X1,X2)
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_989])]) ).
fof(f1562,plain,
( spl31_176
<=> ! [X2,X0,X1] :
( r3_lattices(X1,X2,sK15(X0,X1,X2))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_176])]) ).
fof(f3496,plain,
( spl31_384
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK15(X2,X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_384])]) ).
fof(f3530,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,X2) = sK15(sK15(X0,X1,X2),X1,X2)
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) )
| ~ spl31_176
| ~ spl31_384 ),
inference(duplicate_literal_removal,[],[f3527]) ).
fof(f3527,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,X2) = sK15(sK15(X0,X1,X2),X1,X2)
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_176
| ~ spl31_384 ),
inference(resolution,[],[f3497,f1563]) ).
fof(f1563,plain,
( ! [X2,X0,X1] :
( r3_lattices(X1,X2,sK15(X0,X1,X2))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_176 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f3497,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK15(X2,X0,X1) = X2 )
| ~ spl31_384 ),
inference(avatar_component_clause,[],[f3496]) ).
fof(f16777,plain,
( spl31_988
| ~ spl31_166
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3282,f3237,f1457,f16775]) ).
fof(f16775,plain,
( spl31_988
<=> ! [X0,X1] :
( r3_lattices(k1_lattice2(X0),k5_filter_2(X0,X1),k5_filter_2(X0,X1))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v9_lattices(k1_lattice2(X0))
| ~ v8_lattices(k1_lattice2(X0))
| ~ v6_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_988])]) ).
fof(f3282,plain,
( ! [X0,X1] :
( r3_lattices(k1_lattice2(X0),k5_filter_2(X0,X1),k5_filter_2(X0,X1))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v9_lattices(k1_lattice2(X0))
| ~ v8_lattices(k1_lattice2(X0))
| ~ v6_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_364 ),
inference(resolution,[],[f3238,f1458]) ).
fof(f16643,plain,
( spl31_986
| spl31_987
| ~ spl31_101
| ~ spl31_440 ),
inference(avatar_split_clause,[],[f4487,f4303,f1013,f16640,f16636]) ).
fof(f4487,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sK2)))
| r2_hidden(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ spl31_101
| ~ spl31_440 ),
inference(resolution,[],[f4305,f1014]) ).
fof(f16374,plain,
( spl31_985
| ~ spl31_235
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3836,f3787,f1984,f16372]) ).
fof(f16372,plain,
( spl31_985
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_985])]) ).
fof(f3836,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) )
| ~ spl31_235
| ~ spl31_403 ),
inference(resolution,[],[f3788,f1985]) ).
fof(f16370,plain,
( spl31_984
| ~ spl31_235
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3827,f3783,f1984,f16368]) ).
fof(f16368,plain,
( spl31_984
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_984])]) ).
fof(f3827,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) )
| ~ spl31_235
| ~ spl31_402 ),
inference(resolution,[],[f3784,f1985]) ).
fof(f16366,plain,
( spl31_983
| ~ spl31_235
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3818,f3779,f1984,f16364]) ).
fof(f16364,plain,
( spl31_983
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_983])]) ).
fof(f3818,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0)) = k2_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) )
| ~ spl31_235
| ~ spl31_401 ),
inference(resolution,[],[f3780,f1985]) ).
fof(f16362,plain,
( spl31_982
| ~ spl31_235
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3809,f3775,f1984,f16360]) ).
fof(f16360,plain,
( spl31_982
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_982])]) ).
fof(f3809,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_0(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) )
| ~ spl31_235
| ~ spl31_400 ),
inference(resolution,[],[f3776,f1985]) ).
fof(f16358,plain,
( spl31_981
| ~ spl31_235
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3800,f3765,f1984,f16356]) ).
fof(f16356,plain,
( spl31_981
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_981])]) ).
fof(f3800,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = a_2_0_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) )
| ~ spl31_235
| ~ spl31_398 ),
inference(resolution,[],[f3766,f1985]) ).
fof(f16354,plain,
( spl31_980
| ~ spl31_235
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3791,f3761,f1984,f16352]) ).
fof(f16352,plain,
( spl31_980
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_980])]) ).
fof(f3791,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0)) = k2_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) )
| ~ spl31_235
| ~ spl31_397 ),
inference(resolution,[],[f3762,f1985]) ).
fof(f15994,plain,
( spl31_564
| ~ spl31_930
| ~ spl31_931
| spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_979
| ~ spl31_256
| ~ spl31_261
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f4002,f3943,f2167,f2119,f15992,f657,f702,f662,f13917,f13913,f6244]) ).
fof(f15992,plain,
( spl31_979
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = a_2_0_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_979])]) ).
fof(f4002,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = a_2_0_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_412 ),
inference(forward_demodulation,[],[f3995,f2169]) ).
fof(f3995,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = a_2_0_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_412 ),
inference(superposition,[],[f3944,f2121]) ).
fof(f15951,plain,
( spl31_926
| ~ spl31_927
| ~ spl31_928
| spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_978
| ~ spl31_255
| ~ spl31_258
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f4001,f3943,f2149,f2096,f15949,f607,f652,f612,f13903,f13899,f13895]) ).
fof(f15949,plain,
( spl31_978
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = a_2_0_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_978])]) ).
fof(f4001,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = a_2_0_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_412 ),
inference(forward_demodulation,[],[f3994,f2151]) ).
fof(f3994,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = a_2_0_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_412 ),
inference(superposition,[],[f3944,f2098]) ).
fof(f15947,plain,
( spl31_977
| ~ spl31_108
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3999,f3943,f1073,f15945]) ).
fof(f15945,plain,
( spl31_977
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_977])]) ).
fof(f3999,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_412 ),
inference(duplicate_literal_removal,[],[f3984]) ).
fof(f3984,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_412 ),
inference(resolution,[],[f3944,f1074]) ).
fof(f15943,plain,
( spl31_976
| ~ spl31_109
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3998,f3943,f1077,f15941]) ).
fof(f15941,plain,
( spl31_976
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_976])]) ).
fof(f3998,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_412 ),
inference(duplicate_literal_removal,[],[f3986]) ).
fof(f3986,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_412 ),
inference(resolution,[],[f3944,f1078]) ).
fof(f15939,plain,
( spl31_975
| ~ spl31_65
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3987,f3943,f832,f15937]) ).
fof(f15937,plain,
( spl31_975
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_975])]) ).
fof(f3987,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = a_2_0_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
| ~ spl31_65
| ~ spl31_412 ),
inference(resolution,[],[f3944,f833]) ).
fof(f15935,plain,
( spl31_973
| ~ spl31_974
| ~ spl31_297
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13535,f7720,f2441,f15932,f15928]) ).
fof(f15928,plain,
( spl31_973
<=> u2_lattices(sK2) = u1_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_973])]) ).
fof(f15932,plain,
( spl31_974
<=> sK26 = k1_lattice2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_974])]) ).
fof(f13535,plain,
( sK26 != k1_lattice2(sK2)
| u2_lattices(sK2) = u1_lattices(sK26)
| ~ spl31_297
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2443]) ).
fof(f15887,plain,
( spl31_564
| ~ spl31_930
| ~ spl31_931
| spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_972
| ~ spl31_256
| ~ spl31_261
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3983,f3939,f2167,f2119,f15885,f657,f702,f662,f13917,f13913,f6244]) ).
fof(f15885,plain,
( spl31_972
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = a_2_0_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_972])]) ).
fof(f3983,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = a_2_0_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_411 ),
inference(forward_demodulation,[],[f3976,f2169]) ).
fof(f3976,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = a_2_0_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_411 ),
inference(superposition,[],[f3940,f2121]) ).
fof(f15844,plain,
( spl31_926
| ~ spl31_927
| ~ spl31_928
| spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_971
| ~ spl31_255
| ~ spl31_258
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3982,f3939,f2149,f2096,f15842,f607,f652,f612,f13903,f13899,f13895]) ).
fof(f15842,plain,
( spl31_971
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = a_2_0_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_971])]) ).
fof(f3982,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = a_2_0_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_411 ),
inference(forward_demodulation,[],[f3975,f2151]) ).
fof(f3975,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = a_2_0_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_411 ),
inference(superposition,[],[f3940,f2098]) ).
fof(f15840,plain,
( spl31_970
| ~ spl31_108
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3980,f3939,f1073,f15838]) ).
fof(f15838,plain,
( spl31_970
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_970])]) ).
fof(f3980,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_411 ),
inference(duplicate_literal_removal,[],[f3965]) ).
fof(f3965,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_411 ),
inference(resolution,[],[f3940,f1074]) ).
fof(f15836,plain,
( spl31_969
| ~ spl31_109
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3979,f3939,f1077,f15834]) ).
fof(f15834,plain,
( spl31_969
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_969])]) ).
fof(f3979,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_411 ),
inference(duplicate_literal_removal,[],[f3967]) ).
fof(f3967,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_411 ),
inference(resolution,[],[f3940,f1078]) ).
fof(f15832,plain,
( spl31_968
| ~ spl31_65
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3968,f3939,f832,f15830]) ).
fof(f15830,plain,
( spl31_968
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_968])]) ).
fof(f3968,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = a_2_0_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
| ~ spl31_65
| ~ spl31_411 ),
inference(resolution,[],[f3940,f833]) ).
fof(f15789,plain,
( spl31_564
| ~ spl31_930
| ~ spl31_931
| spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_967
| ~ spl31_256
| ~ spl31_261
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3964,f3935,f2167,f2119,f15787,f657,f702,f662,f13917,f13913,f6244]) ).
fof(f15787,plain,
( spl31_967
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k2_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_967])]) ).
fof(f3964,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k2_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_410 ),
inference(forward_demodulation,[],[f3957,f2169]) ).
fof(f3957,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) = k2_filter_0(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_410 ),
inference(superposition,[],[f3936,f2121]) ).
fof(f15746,plain,
( spl31_926
| ~ spl31_927
| ~ spl31_928
| spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_966
| ~ spl31_255
| ~ spl31_258
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3963,f3935,f2149,f2096,f15744,f607,f652,f612,f13903,f13899,f13895]) ).
fof(f15744,plain,
( spl31_966
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k2_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_966])]) ).
fof(f3963,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k2_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_410 ),
inference(forward_demodulation,[],[f3956,f2151]) ).
fof(f3956,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) = k2_filter_0(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_410 ),
inference(superposition,[],[f3936,f2098]) ).
fof(f15742,plain,
( spl31_965
| ~ spl31_108
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3961,f3935,f1073,f15740]) ).
fof(f15740,plain,
( spl31_965
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_965])]) ).
fof(f3961,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_410 ),
inference(duplicate_literal_removal,[],[f3946]) ).
fof(f3946,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_410 ),
inference(resolution,[],[f3936,f1074]) ).
fof(f15738,plain,
( spl31_964
| ~ spl31_109
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3960,f3935,f1077,f15736]) ).
fof(f15736,plain,
( spl31_964
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_964])]) ).
fof(f3960,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_410 ),
inference(duplicate_literal_removal,[],[f3948]) ).
fof(f3948,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_410 ),
inference(resolution,[],[f3936,f1078]) ).
fof(f15734,plain,
( spl31_963
| ~ spl31_65
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3949,f3935,f832,f15732]) ).
fof(f15732,plain,
( spl31_963
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_963])]) ).
fof(f3949,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0)))) = k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
| ~ spl31_65
| ~ spl31_410 ),
inference(resolution,[],[f3936,f833]) ).
fof(f15730,plain,
( spl31_962
| ~ spl31_171
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2637,f2572,f1526,f15728]) ).
fof(f15728,plain,
( spl31_962
<=> ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k2_filter_2(X0,sK12(u1_struct_0(X0),X1)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_962])]) ).
fof(f1526,plain,
( spl31_171
<=> ! [X0,X1] :
( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_171])]) ).
fof(f2637,plain,
( ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k2_filter_2(X0,sK12(u1_struct_0(X0),X1)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_171
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1527]) ).
fof(f1527,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_171 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f15726,plain,
( spl31_961
| ~ spl31_170
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2636,f2572,f1522,f15724]) ).
fof(f15724,plain,
( spl31_961
<=> ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k18_filter_2(X0,sK12(u1_struct_0(X0),X1)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_961])]) ).
fof(f1522,plain,
( spl31_170
<=> ! [X0,X1] :
( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_170])]) ).
fof(f2636,plain,
( ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k18_filter_2(X0,sK12(u1_struct_0(X0),X1)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_170
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1523]) ).
fof(f1523,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_170 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f15722,plain,
( spl31_960
| ~ spl31_171
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2613,f2564,f1526,f15720]) ).
fof(f15720,plain,
( spl31_960
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k2_filter_2(X1,sK12(X0,u1_struct_0(X1))) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK12(X0,u1_struct_0(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_960])]) ).
fof(f2613,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k2_filter_2(X1,sK12(X0,u1_struct_0(X1))) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK12(X0,u1_struct_0(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_171
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1527]) ).
fof(f15718,plain,
( spl31_959
| ~ spl31_170
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2612,f2564,f1522,f15716]) ).
fof(f15716,plain,
( spl31_959
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k18_filter_2(X1,sK12(X0,u1_struct_0(X1))) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK12(X0,u1_struct_0(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_959])]) ).
fof(f2612,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k18_filter_2(X1,sK12(X0,u1_struct_0(X1))) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK12(X0,u1_struct_0(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_170
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1523]) ).
fof(f15332,plain,
( spl31_957
| ~ spl31_958
| ~ spl31_295
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13534,f7720,f2423,f15329,f15325]) ).
fof(f15325,plain,
( spl31_957
<=> u2_lattices(sK2) = u1_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_957])]) ).
fof(f15329,plain,
( spl31_958
<=> sK25 = k1_lattice2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_958])]) ).
fof(f13534,plain,
( sK25 != k1_lattice2(sK2)
| u2_lattices(sK2) = u1_lattices(sK25)
| ~ spl31_295
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2425]) ).
fof(f15071,plain,
( spl31_956
| ~ spl31_180
| ~ spl31_403 ),
inference(avatar_split_clause,[],[f3843,f3787,f1611,f15069]) ).
fof(f15069,plain,
( spl31_956
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| a_2_0_filter_0(X1,sK16(X2,X1,X0)) = k2_filter_0(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_956])]) ).
fof(f3843,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| a_2_0_filter_0(X1,sK16(X2,X1,X0)) = k2_filter_0(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_180
| ~ spl31_403 ),
inference(duplicate_literal_removal,[],[f3835]) ).
fof(f3835,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| a_2_0_filter_0(X1,sK16(X2,X1,X0)) = k2_filter_0(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_180
| ~ spl31_403 ),
inference(resolution,[],[f3788,f1612]) ).
fof(f15067,plain,
( spl31_955
| ~ spl31_180
| ~ spl31_402 ),
inference(avatar_split_clause,[],[f3834,f3783,f1611,f15065]) ).
fof(f15065,plain,
( spl31_955
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X2,X1,X0)) = a_2_0_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_955])]) ).
fof(f3834,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X2,X1,X0)) = a_2_0_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_180
| ~ spl31_402 ),
inference(duplicate_literal_removal,[],[f3826]) ).
fof(f3826,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X2,X1,X0)) = a_2_0_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_180
| ~ spl31_402 ),
inference(resolution,[],[f3784,f1612]) ).
fof(f15063,plain,
( spl31_954
| ~ spl31_180
| ~ spl31_401 ),
inference(avatar_split_clause,[],[f3825,f3779,f1611,f15061]) ).
fof(f15061,plain,
( spl31_954
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X2,X1,X0)) = k2_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_954])]) ).
fof(f3825,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X2,X1,X0)) = k2_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_180
| ~ spl31_401 ),
inference(duplicate_literal_removal,[],[f3817]) ).
fof(f3817,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X2,X1,X0)) = k2_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_180
| ~ spl31_401 ),
inference(resolution,[],[f3780,f1612]) ).
fof(f15059,plain,
( spl31_953
| ~ spl31_179
| ~ spl31_400 ),
inference(avatar_split_clause,[],[f3816,f3775,f1607,f15057]) ).
fof(f15057,plain,
( spl31_953
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X2,X1,X0)) = a_2_0_filter_0(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_953])]) ).
fof(f3816,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X2,X1,X0)) = a_2_0_filter_0(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_179
| ~ spl31_400 ),
inference(duplicate_literal_removal,[],[f3808]) ).
fof(f3808,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X2,X1,X0)) = a_2_0_filter_0(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_179
| ~ spl31_400 ),
inference(resolution,[],[f3776,f1608]) ).
fof(f15009,plain,
( ~ spl31_232
| ~ spl31_74
| ~ spl31_926 ),
inference(avatar_split_clause,[],[f14497,f13895,f888,f1969]) ).
fof(f1969,plain,
( spl31_232
<=> sP1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_232])]) ).
fof(f888,plain,
( spl31_74
<=> ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_74])]) ).
fof(f14497,plain,
( ~ sP1(sK25)
| ~ spl31_74
| ~ spl31_926 ),
inference(resolution,[],[f13897,f889]) ).
fof(f889,plain,
( ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0) )
| ~ spl31_74 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f13897,plain,
( v3_struct_0(k1_lattice2(sK25))
| ~ spl31_926 ),
inference(avatar_component_clause,[],[f13895]) ).
fof(f15008,plain,
( spl31_952
| ~ spl31_179
| ~ spl31_398 ),
inference(avatar_split_clause,[],[f3807,f3765,f1607,f15006]) ).
fof(f15006,plain,
( spl31_952
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| a_2_0_filter_2(X1,sK15(X2,X1,X0)) = k18_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_952])]) ).
fof(f3807,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| a_2_0_filter_2(X1,sK15(X2,X1,X0)) = k18_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_179
| ~ spl31_398 ),
inference(duplicate_literal_removal,[],[f3799]) ).
fof(f3799,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| a_2_0_filter_2(X1,sK15(X2,X1,X0)) = k18_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_179
| ~ spl31_398 ),
inference(resolution,[],[f3766,f1608]) ).
fof(f15004,plain,
( spl31_951
| ~ spl31_179
| ~ spl31_397 ),
inference(avatar_split_clause,[],[f3798,f3761,f1607,f15002]) ).
fof(f15002,plain,
( spl31_951
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X2,X1,X0)) = k2_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_951])]) ).
fof(f3798,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X2,X1,X0)) = k2_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_179
| ~ spl31_397 ),
inference(duplicate_literal_removal,[],[f3790]) ).
fof(f3790,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X2,X1,X0)) = k2_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_179
| ~ spl31_397 ),
inference(resolution,[],[f3762,f1608]) ).
fof(f15000,plain,
( spl31_950
| ~ spl31_235
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3676,f3653,f1984,f14998]) ).
fof(f14998,plain,
( spl31_950
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_950])]) ).
fof(f3676,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0) = k5_filter_2(X1,sK16(sK10(a_2_0_filter_2(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_2(X1,X0)) )
| ~ spl31_235
| ~ spl31_393 ),
inference(resolution,[],[f3654,f1985]) ).
fof(f14996,plain,
( spl31_949
| ~ spl31_235
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3667,f3649,f1984,f14994]) ).
fof(f14994,plain,
( spl31_949
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_949])]) ).
fof(f3667,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0) = k5_filter_2(X1,sK15(sK10(a_2_0_filter_0(X1,X0)),X1,X0))
| v1_xboole_0(a_2_0_filter_0(X1,X0)) )
| ~ spl31_235
| ~ spl31_392 ),
inference(resolution,[],[f3650,f1985]) ).
fof(f14992,plain,
( spl31_948
| ~ spl31_176
| ~ spl31_385 ),
inference(avatar_split_clause,[],[f3534,f3500,f1562,f14990]) ).
fof(f14990,plain,
( spl31_948
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK15(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,sK15(X2,X1,X0)) = X0
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_948])]) ).
fof(f3534,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK15(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,sK15(X2,X1,X0)) = X0
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0)) )
| ~ spl31_176
| ~ spl31_385 ),
inference(duplicate_literal_removal,[],[f3531]) ).
fof(f3531,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK15(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,sK15(X2,X1,X0)) = X0
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_176
| ~ spl31_385 ),
inference(resolution,[],[f3501,f1563]) ).
fof(f14988,plain,
( spl31_947
| ~ spl31_178
| ~ spl31_384 ),
inference(avatar_split_clause,[],[f3529,f3496,f1570,f14986]) ).
fof(f14986,plain,
( spl31_947
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK16(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,sK16(X2,X1,X0)) = X0
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_947])]) ).
fof(f3529,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK16(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,sK16(X2,X1,X0)) = X0
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0)) )
| ~ spl31_178
| ~ spl31_384 ),
inference(duplicate_literal_removal,[],[f3528]) ).
fof(f3528,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK16(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,sK16(X2,X1,X0)) = X0
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_178
| ~ spl31_384 ),
inference(resolution,[],[f3497,f1571]) ).
fof(f14984,plain,
( spl31_946
| ~ spl31_175
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3294,f3237,f1558,f14982]) ).
fof(f14982,plain,
( spl31_946
<=> ! [X2,X0,X1] :
( r3_lattices(X0,sK15(X1,X0,X2),sK15(X1,X0,X2))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_946])]) ).
fof(f3294,plain,
( ! [X2,X0,X1] :
( r3_lattices(X0,sK15(X1,X0,X2),sK15(X1,X0,X2))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0) )
| ~ spl31_175
| ~ spl31_364 ),
inference(duplicate_literal_removal,[],[f3287]) ).
fof(f3287,plain,
( ! [X2,X0,X1] :
( r3_lattices(X0,sK15(X1,X0,X2),sK15(X1,X0,X2))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_364 ),
inference(resolution,[],[f3238,f1559]) ).
fof(f14980,plain,
( spl31_945
| ~ spl31_177
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3293,f3237,f1566,f14978]) ).
fof(f14978,plain,
( spl31_945
<=> ! [X2,X0,X1] :
( r3_lattices(X0,sK16(X1,X0,X2),sK16(X1,X0,X2))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_945])]) ).
fof(f3293,plain,
( ! [X2,X0,X1] :
( r3_lattices(X0,sK16(X1,X0,X2),sK16(X1,X0,X2))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v10_lattices(X0) )
| ~ spl31_177
| ~ spl31_364 ),
inference(duplicate_literal_removal,[],[f3288]) ).
fof(f3288,plain,
( ! [X2,X0,X1] :
( r3_lattices(X0,sK16(X1,X0,X2),sK16(X1,X0,X2))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_364 ),
inference(resolution,[],[f3238,f1567]) ).
fof(f14875,plain,
( ~ spl31_27
| ~ spl31_72
| spl31_931 ),
inference(avatar_split_clause,[],[f13925,f13917,f880,f657]) ).
fof(f880,plain,
( spl31_72
<=> ! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_72])]) ).
fof(f13925,plain,
( ~ l3_lattices(sK26)
| ~ spl31_72
| spl31_931 ),
inference(resolution,[],[f13919,f881]) ).
fof(f881,plain,
( ! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f13919,plain,
( ~ l3_lattices(k1_lattice2(sK26))
| spl31_931 ),
inference(avatar_component_clause,[],[f13917]) ).
fof(f14874,plain,
( spl31_944
| ~ spl31_173
| ~ spl31_287 ),
inference(avatar_split_clause,[],[f2374,f2294,f1546,f14872]) ).
fof(f14872,plain,
( spl31_944
<=> ! [X2,X0,X1] :
( a_2_0_filter_2(X1,X2) = X0
| ~ v1_xboole_0(X0)
| sK12(X0,a_2_0_filter_2(X1,X2)) = sK16(sK12(X0,a_2_0_filter_2(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_944])]) ).
fof(f2374,plain,
( ! [X2,X0,X1] :
( a_2_0_filter_2(X1,X2) = X0
| ~ v1_xboole_0(X0)
| sK12(X0,a_2_0_filter_2(X1,X2)) = sK16(sK12(X0,a_2_0_filter_2(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_173
| ~ spl31_287 ),
inference(resolution,[],[f2295,f1547]) ).
fof(f14870,plain,
( spl31_943
| ~ spl31_172
| ~ spl31_287 ),
inference(avatar_split_clause,[],[f2373,f2294,f1542,f14868]) ).
fof(f14868,plain,
( spl31_943
<=> ! [X2,X0,X1] :
( a_2_0_filter_0(X1,X2) = X0
| ~ v1_xboole_0(X0)
| sK12(X0,a_2_0_filter_0(X1,X2)) = sK15(sK12(X0,a_2_0_filter_0(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_943])]) ).
fof(f2373,plain,
( ! [X2,X0,X1] :
( a_2_0_filter_0(X1,X2) = X0
| ~ v1_xboole_0(X0)
| sK12(X0,a_2_0_filter_0(X1,X2)) = sK15(sK12(X0,a_2_0_filter_0(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_172
| ~ spl31_287 ),
inference(resolution,[],[f2295,f1543]) ).
fof(f14866,plain,
( spl31_942
| ~ spl31_173
| ~ spl31_286 ),
inference(avatar_split_clause,[],[f2363,f2290,f1546,f14864]) ).
fof(f14864,plain,
( spl31_942
<=> ! [X2,X0,X1] :
( a_2_0_filter_2(X0,X1) = X2
| ~ v1_xboole_0(X2)
| sK12(a_2_0_filter_2(X0,X1),X2) = sK16(sK12(a_2_0_filter_2(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_942])]) ).
fof(f2363,plain,
( ! [X2,X0,X1] :
( a_2_0_filter_2(X0,X1) = X2
| ~ v1_xboole_0(X2)
| sK12(a_2_0_filter_2(X0,X1),X2) = sK16(sK12(a_2_0_filter_2(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_173
| ~ spl31_286 ),
inference(resolution,[],[f2291,f1547]) ).
fof(f14862,plain,
( spl31_941
| ~ spl31_172
| ~ spl31_286 ),
inference(avatar_split_clause,[],[f2362,f2290,f1542,f14860]) ).
fof(f14860,plain,
( spl31_941
<=> ! [X2,X0,X1] :
( a_2_0_filter_0(X0,X1) = X2
| ~ v1_xboole_0(X2)
| sK12(a_2_0_filter_0(X0,X1),X2) = sK15(sK12(a_2_0_filter_0(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_941])]) ).
fof(f2362,plain,
( ! [X2,X0,X1] :
( a_2_0_filter_0(X0,X1) = X2
| ~ v1_xboole_0(X2)
| sK12(a_2_0_filter_0(X0,X1),X2) = sK15(sK12(a_2_0_filter_0(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_172
| ~ spl31_286 ),
inference(resolution,[],[f2291,f1543]) ).
fof(f14792,plain,
( spl31_940
| ~ spl31_309
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3286,f3237,f2572,f14790]) ).
fof(f14790,plain,
( spl31_940
<=> ! [X0,X1] :
( r3_lattices(X0,sK12(u1_struct_0(X0),X1),sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_940])]) ).
fof(f3286,plain,
( ! [X0,X1] :
( r3_lattices(X0,sK12(u1_struct_0(X0),X1),sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_364 ),
inference(resolution,[],[f3238,f2573]) ).
fof(f14776,plain,
( ~ spl31_233
| ~ spl31_82
| spl31_930 ),
inference(avatar_split_clause,[],[f13924,f13913,f921,f1974]) ).
fof(f1974,plain,
( spl31_233
<=> sP1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_233])]) ).
fof(f921,plain,
( spl31_82
<=> ! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_82])]) ).
fof(f13924,plain,
( ~ sP1(sK26)
| ~ spl31_82
| spl31_930 ),
inference(resolution,[],[f13915,f922]) ).
fof(f922,plain,
( ! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) )
| ~ spl31_82 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f13915,plain,
( ~ v10_lattices(k1_lattice2(sK26))
| spl31_930 ),
inference(avatar_component_clause,[],[f13913]) ).
fof(f14775,plain,
( spl31_939
| ~ spl31_307
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3285,f3237,f2564,f14773]) ).
fof(f14773,plain,
( spl31_939
<=> ! [X0,X1] :
( r3_lattices(X0,sK12(X1,u1_struct_0(X0)),sK12(X1,u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_939])]) ).
fof(f3285,plain,
( ! [X0,X1] :
( r3_lattices(X0,sK12(X1,u1_struct_0(X0)),sK12(X1,u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_364 ),
inference(resolution,[],[f3238,f2565]) ).
fof(f14771,plain,
( spl31_938
| ~ spl31_169
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2627,f2572,f1502,f14769]) ).
fof(f14769,plain,
( spl31_938
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ r1_filter_2(X0,X2,sK12(k1_zfmisc_1(X0),X1))
| r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_938])]) ).
fof(f2627,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ r1_filter_2(X0,X2,sK12(k1_zfmisc_1(X0),X1))
| r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_169
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1503]) ).
fof(f14767,plain,
( spl31_937
| ~ spl31_169
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2603,f2564,f1502,f14765]) ).
fof(f14765,plain,
( spl31_937
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ r1_filter_2(X1,X2,sK12(X0,k1_zfmisc_1(X1)))
| r1_filter_2(X1,sK12(X0,k1_zfmisc_1(X1)),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_937])]) ).
fof(f2603,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ r1_filter_2(X1,X2,sK12(X0,k1_zfmisc_1(X1)))
| r1_filter_2(X1,sK12(X0,k1_zfmisc_1(X1)),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl31_169
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1503]) ).
fof(f14465,plain,
( ~ spl31_17
| ~ spl31_72
| spl31_928 ),
inference(avatar_split_clause,[],[f13911,f13903,f880,f607]) ).
fof(f13911,plain,
( ~ l3_lattices(sK25)
| ~ spl31_72
| spl31_928 ),
inference(resolution,[],[f13905,f881]) ).
fof(f13905,plain,
( ~ l3_lattices(k1_lattice2(sK25))
| spl31_928 ),
inference(avatar_component_clause,[],[f13903]) ).
fof(f14350,plain,
( ~ spl31_232
| ~ spl31_82
| spl31_927 ),
inference(avatar_split_clause,[],[f13910,f13899,f921,f1969]) ).
fof(f13910,plain,
( ~ sP1(sK25)
| ~ spl31_82
| spl31_927 ),
inference(resolution,[],[f13901,f922]) ).
fof(f13901,plain,
( ~ v10_lattices(k1_lattice2(sK25))
| spl31_927 ),
inference(avatar_component_clause,[],[f13899]) ).
fof(f13941,plain,
( spl31_936
| ~ spl31_220
| ~ spl31_421 ),
inference(avatar_split_clause,[],[f4206,f4060,f1888,f13939]) ).
fof(f13939,plain,
( spl31_936
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK22) = sK16(sK12(a_2_0_filter_2(X1,X0),sK22),X1,X0)
| sK22 = a_2_0_filter_2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_936])]) ).
fof(f1888,plain,
( spl31_220
<=> ! [X1] : ~ r2_hidden(X1,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_220])]) ).
fof(f4206,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_2(X1,X0),sK22) = sK16(sK12(a_2_0_filter_2(X1,X0),sK22),X1,X0)
| sK22 = a_2_0_filter_2(X1,X0) )
| ~ spl31_220
| ~ spl31_421 ),
inference(resolution,[],[f4061,f1889]) ).
fof(f1889,plain,
( ! [X1] : ~ r2_hidden(X1,sK22)
| ~ spl31_220 ),
inference(avatar_component_clause,[],[f1888]) ).
fof(f13937,plain,
( spl31_935
| ~ spl31_220
| ~ spl31_420 ),
inference(avatar_split_clause,[],[f4181,f4056,f1888,f13935]) ).
fof(f13935,plain,
( spl31_935
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK22,a_2_0_filter_2(X1,X0)) = sK16(sK12(sK22,a_2_0_filter_2(X1,X0)),X1,X0)
| sK22 = a_2_0_filter_2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_935])]) ).
fof(f4181,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK22,a_2_0_filter_2(X1,X0)) = sK16(sK12(sK22,a_2_0_filter_2(X1,X0)),X1,X0)
| sK22 = a_2_0_filter_2(X1,X0) )
| ~ spl31_220
| ~ spl31_420 ),
inference(resolution,[],[f4057,f1889]) ).
fof(f13933,plain,
( spl31_934
| ~ spl31_220
| ~ spl31_419 ),
inference(avatar_split_clause,[],[f4147,f4052,f1888,f13931]) ).
fof(f13931,plain,
( spl31_934
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK22) = sK15(sK12(a_2_0_filter_0(X1,X0),sK22),X1,X0)
| sK22 = a_2_0_filter_0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_934])]) ).
fof(f4147,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(a_2_0_filter_0(X1,X0),sK22) = sK15(sK12(a_2_0_filter_0(X1,X0),sK22),X1,X0)
| sK22 = a_2_0_filter_0(X1,X0) )
| ~ spl31_220
| ~ spl31_419 ),
inference(resolution,[],[f4053,f1889]) ).
fof(f13929,plain,
( spl31_933
| ~ spl31_220
| ~ spl31_418 ),
inference(avatar_split_clause,[],[f4123,f4048,f1888,f13927]) ).
fof(f13927,plain,
( spl31_933
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK22,a_2_0_filter_0(X1,X0)) = sK15(sK12(sK22,a_2_0_filter_0(X1,X0)),X1,X0)
| sK22 = a_2_0_filter_0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_933])]) ).
fof(f4123,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK12(sK22,a_2_0_filter_0(X1,X0)) = sK15(sK12(sK22,a_2_0_filter_0(X1,X0)),X1,X0)
| sK22 = a_2_0_filter_0(X1,X0) )
| ~ spl31_220
| ~ spl31_418 ),
inference(resolution,[],[f4049,f1889]) ).
fof(f13923,plain,
( spl31_564
| ~ spl31_930
| ~ spl31_931
| spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_932
| ~ spl31_256
| ~ spl31_261
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3871,f3850,f2167,f2119,f13921,f657,f702,f662,f13917,f13913,f6244]) ).
fof(f13921,plain,
( spl31_932
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k5_filter_2(sK26,X0) = k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_932])]) ).
fof(f3871,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k5_filter_2(sK26,X0) = k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_405 ),
inference(forward_demodulation,[],[f3864,f2169]) ).
fof(f3864,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k5_filter_2(sK26,X0) = k5_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(k1_lattice2(sK26))
| ~ v10_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26)) )
| ~ spl31_256
| ~ spl31_405 ),
inference(superposition,[],[f3851,f2121]) ).
fof(f13909,plain,
( spl31_926
| ~ spl31_927
| ~ spl31_928
| spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_929
| ~ spl31_255
| ~ spl31_258
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3870,f3850,f2149,f2096,f13907,f607,f652,f612,f13903,f13899,f13895]) ).
fof(f13907,plain,
( spl31_929
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k5_filter_2(sK25,X0) = k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_929])]) ).
fof(f3870,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k5_filter_2(sK25,X0) = k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_405 ),
inference(forward_demodulation,[],[f3863,f2151]) ).
fof(f3863,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k5_filter_2(sK25,X0) = k5_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(k1_lattice2(sK25))
| ~ v10_lattices(k1_lattice2(sK25))
| v3_struct_0(k1_lattice2(sK25)) )
| ~ spl31_255
| ~ spl31_405 ),
inference(superposition,[],[f3851,f2098]) ).
fof(f13893,plain,
( spl31_925
| ~ spl31_108
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3868,f3850,f1073,f13891]) ).
fof(f13891,plain,
( spl31_925
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,k6_lattices(X0)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_925])]) ).
fof(f3868,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,k6_lattices(X0)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_405 ),
inference(duplicate_literal_removal,[],[f3853]) ).
fof(f3853,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,k6_lattices(X0)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_405 ),
inference(resolution,[],[f3851,f1074]) ).
fof(f13889,plain,
( spl31_924
| ~ spl31_109
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3867,f3850,f1077,f13887]) ).
fof(f13887,plain,
( spl31_924
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,k5_lattices(X0)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_924])]) ).
fof(f3867,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,k5_lattices(X0)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_405 ),
inference(duplicate_literal_removal,[],[f3855]) ).
fof(f3855,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,k5_lattices(X0)) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_405 ),
inference(resolution,[],[f3851,f1078]) ).
fof(f13885,plain,
( spl31_923
| ~ spl31_65
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3856,f3850,f832,f13883]) ).
fof(f13883,plain,
( spl31_923
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK10(u1_struct_0(X0))) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_923])]) ).
fof(f3856,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_filter_2(X0,sK10(u1_struct_0(X0))) = k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0)) )
| ~ spl31_65
| ~ spl31_405 ),
inference(resolution,[],[f3851,f833]) ).
fof(f13881,plain,
( spl31_922
| ~ spl31_180
| ~ spl31_393 ),
inference(avatar_split_clause,[],[f3683,f3653,f1611,f13879]) ).
fof(f13879,plain,
( spl31_922
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X2,X1,X0) = k5_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_922])]) ).
fof(f3683,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X2,X1,X0) = k5_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_180
| ~ spl31_393 ),
inference(duplicate_literal_removal,[],[f3675]) ).
fof(f3675,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X2,X1,X0) = k5_filter_2(X1,sK16(X2,X1,X0))
| ~ r3_lattices(X1,X2,X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_180
| ~ spl31_393 ),
inference(resolution,[],[f3654,f1612]) ).
fof(f13877,plain,
( spl31_921
| ~ spl31_179
| ~ spl31_392 ),
inference(avatar_split_clause,[],[f3674,f3649,f1607,f13875]) ).
fof(f13875,plain,
( spl31_921
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X2,X1,X0) = k5_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_921])]) ).
fof(f3674,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X2,X1,X0) = k5_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| ~ spl31_179
| ~ spl31_392 ),
inference(duplicate_literal_removal,[],[f3666]) ).
fof(f3666,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X2,X1,X0) = k5_filter_2(X1,sK15(X2,X1,X0))
| ~ r3_lattices(X1,X0,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_179
| ~ spl31_392 ),
inference(resolution,[],[f3650,f1608]) ).
fof(f13873,plain,
( spl31_920
| ~ spl31_176
| ~ spl31_376 ),
inference(avatar_split_clause,[],[f3446,f3410,f1562,f13871]) ).
fof(f13871,plain,
( spl31_920
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK15(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(a_2_0_filter_2(X1,sK15(X2,X1,X0)))
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_920])]) ).
fof(f3410,plain,
( spl31_376
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(a_2_0_filter_2(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_376])]) ).
fof(f3446,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK15(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(a_2_0_filter_2(X1,sK15(X2,X1,X0)))
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0)) )
| ~ spl31_176
| ~ spl31_376 ),
inference(duplicate_literal_removal,[],[f3443]) ).
fof(f3443,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK15(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(a_2_0_filter_2(X1,sK15(X2,X1,X0)))
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_176
| ~ spl31_376 ),
inference(resolution,[],[f3411,f1563]) ).
fof(f3411,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(a_2_0_filter_2(X0,X2)) )
| ~ spl31_376 ),
inference(avatar_component_clause,[],[f3410]) ).
fof(f13869,plain,
( spl31_919
| ~ spl31_178
| ~ spl31_375 ),
inference(avatar_split_clause,[],[f3441,f3406,f1570,f13867]) ).
fof(f13867,plain,
( spl31_919
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK16(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(a_2_0_filter_0(X1,sK16(X2,X1,X0)))
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_919])]) ).
fof(f3406,plain,
( spl31_375
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(a_2_0_filter_0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_375])]) ).
fof(f3441,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK16(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(a_2_0_filter_0(X1,sK16(X2,X1,X0)))
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0)) )
| ~ spl31_178
| ~ spl31_375 ),
inference(duplicate_literal_removal,[],[f3440]) ).
fof(f3440,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(sK16(X2,X1,X0),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(a_2_0_filter_0(X1,sK16(X2,X1,X0)))
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_178
| ~ spl31_375 ),
inference(resolution,[],[f3407,f1571]) ).
fof(f3407,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(a_2_0_filter_0(X0,X1)) )
| ~ spl31_375 ),
inference(avatar_component_clause,[],[f3406]) ).
fof(f13865,plain,
( spl31_918
| ~ spl31_154
| ~ spl31_362 ),
inference(avatar_split_clause,[],[f3260,f3229,f1362,f13863]) ).
fof(f13863,plain,
( spl31_918
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X0)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| ~ r2_hidden(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_918])]) ).
fof(f1362,plain,
( spl31_154
<=> ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(sK12(X0,X1),X1)
| ~ r2_hidden(sK12(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_154])]) ).
fof(f3260,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X0)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| ~ r2_hidden(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X1) )
| ~ spl31_154
| ~ spl31_362 ),
inference(resolution,[],[f3230,f1363]) ).
fof(f1363,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(sK12(X0,X1),X0) )
| ~ spl31_154 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f13861,plain,
( spl31_917
| ~ spl31_154
| ~ spl31_361 ),
inference(avatar_split_clause,[],[f3246,f3225,f1362,f13859]) ).
fof(f13859,plain,
( spl31_917
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X0)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| ~ r2_hidden(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_917])]) ).
fof(f3246,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X0)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| ~ r2_hidden(sK12(X1,k1_zfmisc_1(u1_struct_0(X0))),X1) )
| ~ spl31_154
| ~ spl31_361 ),
inference(resolution,[],[f3226,f1363]) ).
fof(f13857,plain,
( spl31_916
| ~ spl31_309
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3211,f3067,f2572,f13855]) ).
fof(f13855,plain,
( spl31_916
<=> ! [X2,X0,X1] :
( r1_filter_2(X0,X1,sK12(k1_zfmisc_1(X0),X2))
| ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X2),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X2),X2)
| k1_zfmisc_1(X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_916])]) ).
fof(f3211,plain,
( ! [X2,X0,X1] :
( r1_filter_2(X0,X1,sK12(k1_zfmisc_1(X0),X2))
| ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X2),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X2),X2)
| k1_zfmisc_1(X0) = X2 )
| ~ spl31_309
| ~ spl31_357 ),
inference(resolution,[],[f3068,f2573]) ).
fof(f13853,plain,
( spl31_914
| ~ spl31_915
| ~ spl31_298
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13533,f7720,f2452,f13850,f13846]) ).
fof(f13846,plain,
( spl31_914
<=> u2_lattices(sK2) = u1_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_914])]) ).
fof(f13850,plain,
( spl31_915
<=> sK27 = k1_lattice2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_915])]) ).
fof(f13533,plain,
( sK27 != k1_lattice2(sK2)
| u2_lattices(sK2) = u1_lattices(sK27)
| ~ spl31_298
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2454]) ).
fof(f13844,plain,
( spl31_913
| ~ spl31_307
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3210,f3067,f2564,f13842]) ).
fof(f13842,plain,
( spl31_913
<=> ! [X2,X0,X1] :
( r1_filter_2(X0,X1,sK12(X2,k1_zfmisc_1(X0)))
| ~ r1_filter_2(X0,sK12(X2,k1_zfmisc_1(X0)),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| r2_hidden(sK12(X2,k1_zfmisc_1(X0)),X2)
| k1_zfmisc_1(X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_913])]) ).
fof(f3210,plain,
( ! [X2,X0,X1] :
( r1_filter_2(X0,X1,sK12(X2,k1_zfmisc_1(X0)))
| ~ r1_filter_2(X0,sK12(X2,k1_zfmisc_1(X0)),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| r2_hidden(sK12(X2,k1_zfmisc_1(X0)),X2)
| k1_zfmisc_1(X0) = X2 )
| ~ spl31_307
| ~ spl31_357 ),
inference(resolution,[],[f3068,f2565]) ).
fof(f13840,plain,
( spl31_912
| ~ spl31_165
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2635,f2572,f1453,f13838]) ).
fof(f13838,plain,
( spl31_912
<=> ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k2_filter_0(X0,sK12(u1_struct_0(X0),X1)) = k2_filter_2(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_912])]) ).
fof(f1453,plain,
( spl31_165
<=> ! [X0,X1] :
( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_165])]) ).
fof(f2635,plain,
( ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k2_filter_0(X0,sK12(u1_struct_0(X0),X1)) = k2_filter_2(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_165
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1454]) ).
fof(f1454,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_165 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f13836,plain,
( spl31_911
| ~ spl31_164
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2634,f2572,f1449,f13834]) ).
fof(f13834,plain,
( spl31_911
<=> ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k18_filter_2(X0,sK12(u1_struct_0(X0),X1)) = a_2_0_filter_2(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_911])]) ).
fof(f1449,plain,
( spl31_164
<=> ! [X0,X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_164])]) ).
fof(f2634,plain,
( ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k18_filter_2(X0,sK12(u1_struct_0(X0),X1)) = a_2_0_filter_2(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_164
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1450]) ).
fof(f1450,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_164 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f13832,plain,
( spl31_910
| ~ spl31_163
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2633,f2572,f1445,f13830]) ).
fof(f13830,plain,
( spl31_910
<=> ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k2_filter_0(X0,sK12(u1_struct_0(X0),X1)) = a_2_0_filter_0(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_910])]) ).
fof(f1445,plain,
( spl31_163
<=> ! [X0,X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_163])]) ).
fof(f2633,plain,
( ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| k2_filter_0(X0,sK12(u1_struct_0(X0),X1)) = a_2_0_filter_0(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_163
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1446]) ).
fof(f1446,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_163 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f13828,plain,
( spl31_909
| ~ spl31_167
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2628,f2572,f1461,f13826]) ).
fof(f13826,plain,
( spl31_909
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ r1_filter_2(X0,X2,sK12(k1_zfmisc_1(X0),X1))
| sK12(k1_zfmisc_1(X0),X1) = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_909])]) ).
fof(f2628,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ r1_filter_2(X0,X2,sK12(k1_zfmisc_1(X0),X1))
| sK12(k1_zfmisc_1(X0),X1) = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_167
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1462]) ).
fof(f13824,plain,
( spl31_908
| ~ spl31_165
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2611,f2564,f1453,f13822]) ).
fof(f13822,plain,
( spl31_908
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k2_filter_0(X1,sK12(X0,u1_struct_0(X1))) = k2_filter_2(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_908])]) ).
fof(f2611,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k2_filter_0(X1,sK12(X0,u1_struct_0(X1))) = k2_filter_2(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_165
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1454]) ).
fof(f13820,plain,
( spl31_907
| ~ spl31_164
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2610,f2564,f1449,f13818]) ).
fof(f13818,plain,
( spl31_907
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k18_filter_2(X1,sK12(X0,u1_struct_0(X1))) = a_2_0_filter_2(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_907])]) ).
fof(f2610,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k18_filter_2(X1,sK12(X0,u1_struct_0(X1))) = a_2_0_filter_2(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_164
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1450]) ).
fof(f13816,plain,
( spl31_906
| ~ spl31_163
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2609,f2564,f1445,f13814]) ).
fof(f13814,plain,
( spl31_906
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k2_filter_0(X1,sK12(X0,u1_struct_0(X1))) = a_2_0_filter_0(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_906])]) ).
fof(f2609,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| k2_filter_0(X1,sK12(X0,u1_struct_0(X1))) = a_2_0_filter_0(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_163
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1446]) ).
fof(f13812,plain,
( spl31_905
| ~ spl31_167
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2604,f2564,f1461,f13810]) ).
fof(f13810,plain,
( spl31_905
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ r1_filter_2(X1,X2,sK12(X0,k1_zfmisc_1(X1)))
| sK12(X0,k1_zfmisc_1(X1)) = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_905])]) ).
fof(f2604,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ r1_filter_2(X1,X2,sK12(X0,k1_zfmisc_1(X1)))
| sK12(X0,k1_zfmisc_1(X1)) = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl31_167
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1462]) ).
fof(f13628,plain,
( spl31_904
| ~ spl31_175
| ~ spl31_414 ),
inference(avatar_split_clause,[],[f4028,f4008,f1558,f13626]) ).
fof(f13626,plain,
( spl31_904
<=> ! [X2,X0,X1] :
( r1_lattices(X0,X1,sK15(X2,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ v10_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_904])]) ).
fof(f4028,plain,
( ! [X2,X0,X1] :
( r1_lattices(X0,X1,sK15(X2,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ v10_lattices(X0) )
| ~ spl31_175
| ~ spl31_414 ),
inference(duplicate_literal_removal,[],[f4023]) ).
fof(f4023,plain,
( ! [X2,X0,X1] :
( r1_lattices(X0,X1,sK15(X2,X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ v10_lattices(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_414 ),
inference(resolution,[],[f4009,f1559]) ).
fof(f13624,plain,
( spl31_903
| ~ spl31_177
| ~ spl31_413 ),
inference(avatar_split_clause,[],[f4016,f4004,f1566,f13622]) ).
fof(f13622,plain,
( spl31_903
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| r1_lattices(X1,sK16(X2,X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ v10_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_903])]) ).
fof(f4016,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| r1_lattices(X1,sK16(X2,X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ v10_lattices(X1) )
| ~ spl31_177
| ~ spl31_413 ),
inference(duplicate_literal_removal,[],[f4011]) ).
fof(f4011,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| r1_lattices(X1,sK16(X2,X1,X0),X0)
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ v10_lattices(X1)
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_177
| ~ spl31_413 ),
inference(resolution,[],[f4005,f1567]) ).
fof(f13620,plain,
( spl31_902
| ~ spl31_65
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3734,f3693,f832,f13618]) ).
fof(f13618,plain,
( spl31_902
<=> ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK10(k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_902])]) ).
fof(f3734,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK10(k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_396 ),
inference(resolution,[],[f3694,f833]) ).
fof(f13616,plain,
( spl31_901
| ~ spl31_65
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3703,f3689,f832,f13614]) ).
fof(f13614,plain,
( spl31_901
<=> ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK10(k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_901])]) ).
fof(f3703,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK10(k1_zfmisc_1(u1_struct_0(X0))))
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_395 ),
inference(resolution,[],[f3690,f833]) ).
fof(f13612,plain,
( spl31_900
| ~ spl31_65
| ~ spl31_391 ),
inference(avatar_split_clause,[],[f3659,f3645,f832,f13610]) ).
fof(f13610,plain,
( spl31_900
<=> ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_900])]) ).
fof(f3659,plain,
( ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_65
| ~ spl31_391 ),
inference(resolution,[],[f3646,f833]) ).
fof(f13608,plain,
( spl31_899
| ~ spl31_269
| ~ spl31_382 ),
inference(avatar_split_clause,[],[f3487,f3464,f2212,f13606]) ).
fof(f13606,plain,
( spl31_899
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(X0),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,k1_zfmisc_1(X0),X2)
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(a_2_0_filter_2(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_899])]) ).
fof(f2212,plain,
( spl31_269
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_269])]) ).
fof(f3487,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(X0),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,k1_zfmisc_1(X0),X2)
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(a_2_0_filter_2(X1,X2),X0) )
| ~ spl31_269
| ~ spl31_382 ),
inference(resolution,[],[f3465,f2213]) ).
fof(f2213,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl31_269 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f13604,plain,
( spl31_898
| ~ spl31_269
| ~ spl31_380 ),
inference(avatar_split_clause,[],[f3480,f3456,f2212,f13602]) ).
fof(f13602,plain,
( spl31_898
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(X0),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(a_2_0_filter_0(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_898])]) ).
fof(f3480,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(X0),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(a_2_0_filter_0(X1,X2),X0) )
| ~ spl31_269
| ~ spl31_380 ),
inference(resolution,[],[f3457,f2213]) ).
fof(f13600,plain,
( spl31_896
| ~ spl31_897
| ~ spl31_293
| ~ spl31_653 ),
inference(avatar_split_clause,[],[f13532,f7720,f2405,f13597,f13593]) ).
fof(f13593,plain,
( spl31_896
<=> u2_lattices(sK2) = u1_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_896])]) ).
fof(f13597,plain,
( spl31_897
<=> sK24 = k1_lattice2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_897])]) ).
fof(f13532,plain,
( sK24 != k1_lattice2(sK2)
| u2_lattices(sK2) = u1_lattices(sK24)
| ~ spl31_293
| ~ spl31_653 ),
inference(superposition,[],[f7721,f2407]) ).
fof(f13591,plain,
( spl31_895
| ~ spl31_216
| ~ spl31_372 ),
inference(avatar_split_clause,[],[f3386,f3330,f1873,f13589]) ).
fof(f13589,plain,
( spl31_895
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_895])]) ).
fof(f1873,plain,
( spl31_216
<=> ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_216])]) ).
fof(f3330,plain,
( spl31_372
<=> ! [X0] :
( k2_filter_2(X0,k6_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_372])]) ).
fof(f3386,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl31_216
| ~ spl31_372 ),
inference(resolution,[],[f3331,f1874]) ).
fof(f1874,plain,
( ! [X0] :
( l2_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_216 ),
inference(avatar_component_clause,[],[f1873]) ).
fof(f3331,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(X0,k6_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) )
| ~ spl31_372 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f13587,plain,
( spl31_894
| ~ spl31_217
| ~ spl31_371 ),
inference(avatar_split_clause,[],[f3378,f3326,f1877,f13585]) ).
fof(f13585,plain,
( spl31_894
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_894])]) ).
fof(f1877,plain,
( spl31_217
<=> ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_217])]) ).
fof(f3326,plain,
( spl31_371
<=> ! [X0] :
( k2_filter_2(X0,k5_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_371])]) ).
fof(f3378,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl31_217
| ~ spl31_371 ),
inference(resolution,[],[f3327,f1878]) ).
fof(f1878,plain,
( ! [X0] :
( l1_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_217 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f3327,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(X0,k5_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) )
| ~ spl31_371 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f13583,plain,
( spl31_893
| ~ spl31_216
| ~ spl31_369 ),
inference(avatar_split_clause,[],[f3357,f3318,f1873,f13581]) ).
fof(f13581,plain,
( spl31_893
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_893])]) ).
fof(f3318,plain,
( spl31_369
<=> ! [X0] :
( k18_filter_2(X0,k6_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_369])]) ).
fof(f3357,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl31_216
| ~ spl31_369 ),
inference(resolution,[],[f3319,f1874]) ).
fof(f3319,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(X0,k6_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) )
| ~ spl31_369 ),
inference(avatar_component_clause,[],[f3318]) ).
fof(f13579,plain,
( spl31_892
| ~ spl31_217
| ~ spl31_368 ),
inference(avatar_split_clause,[],[f3346,f3314,f1877,f13577]) ).
fof(f13577,plain,
( spl31_892
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_892])]) ).
fof(f3314,plain,
( spl31_368
<=> ! [X0] :
( k18_filter_2(X0,k5_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_368])]) ).
fof(f3346,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl31_217
| ~ spl31_368 ),
inference(resolution,[],[f3315,f1878]) ).
fof(f3315,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(X0,k5_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0))) )
| ~ spl31_368 ),
inference(avatar_component_clause,[],[f3314]) ).
fof(f13559,plain,
( ~ spl31_649
| ~ spl31_430
| ~ spl31_650
| ~ spl31_651
| ~ spl31_434
| ~ spl31_652
| spl31_891
| ~ spl31_187
| ~ spl31_208 ),
inference(avatar_split_clause,[],[f1829,f1820,f1659,f13557,f7716,f4270,f7712,f7708,f4244,f7704]) ).
fof(f7704,plain,
( spl31_649
<=> v1_funct_1(u1_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_649])]) ).
fof(f4244,plain,
( spl31_430
<=> v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_430])]) ).
fof(f7708,plain,
( spl31_650
<=> m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_650])]) ).
fof(f7712,plain,
( spl31_651
<=> v1_funct_1(u2_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_651])]) ).
fof(f4270,plain,
( spl31_434
<=> v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_434])]) ).
fof(f7716,plain,
( spl31_652
<=> m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_652])]) ).
fof(f1820,plain,
( spl31_208
<=> k1_lattice2(sK2) = g3_lattices(k1_filter_2(sK2),u1_lattices(sK2),u2_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_208])]) ).
fof(f1829,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| k1_filter_2(sK2) = X0
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_1(u1_lattices(sK2)) )
| ~ spl31_187
| ~ spl31_208 ),
inference(superposition,[],[f1660,f1822]) ).
fof(f1822,plain,
( k1_lattice2(sK2) = g3_lattices(k1_filter_2(sK2),u1_lattices(sK2),u2_lattices(sK2))
| ~ spl31_208 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f13539,plain,
( ~ spl31_649
| ~ spl31_430
| ~ spl31_650
| ~ spl31_651
| ~ spl31_434
| ~ spl31_652
| spl31_890
| ~ spl31_188
| ~ spl31_208 ),
inference(avatar_split_clause,[],[f1827,f1820,f1663,f13537,f7716,f4270,f7712,f7708,f4244,f7704]) ).
fof(f1827,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_lattices(sK2) = X1
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_1(u1_lattices(sK2)) )
| ~ spl31_188
| ~ spl31_208 ),
inference(superposition,[],[f1664,f1822]) ).
fof(f13515,plain,
( spl31_652
| ~ spl31_104
| ~ spl31_437 ),
inference(avatar_split_clause,[],[f4293,f4286,f1025,f7716]) ).
fof(f1025,plain,
( spl31_104
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_104])]) ).
fof(f4293,plain,
( m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_104
| ~ spl31_437 ),
inference(resolution,[],[f4288,f1026]) ).
fof(f1026,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl31_104 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f13514,plain,
( spl31_889
| ~ spl31_309
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f3002,f2951,f2572,f13512]) ).
fof(f13512,plain,
( spl31_889
<=> ! [X2,X0,X1] :
( sK12(k1_zfmisc_1(X0),X1) = X2
| ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),X2)
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_889])]) ).
fof(f3002,plain,
( ! [X2,X0,X1] :
( sK12(k1_zfmisc_1(X0),X1) = X2
| ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),X2)
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1 )
| ~ spl31_309
| ~ spl31_342 ),
inference(resolution,[],[f2952,f2573]) ).
fof(f13510,plain,
( spl31_888
| ~ spl31_307
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f3001,f2951,f2564,f13508]) ).
fof(f13508,plain,
( spl31_888
<=> ! [X2,X0,X1] :
( sK12(X0,k1_zfmisc_1(X1)) = X2
| ~ r1_filter_2(X1,sK12(X0,k1_zfmisc_1(X1)),X2)
| v1_xboole_0(X1)
| ~ r1_tarski(X2,X1)
| r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_888])]) ).
fof(f3001,plain,
( ! [X2,X0,X1] :
( sK12(X0,k1_zfmisc_1(X1)) = X2
| ~ r1_filter_2(X1,sK12(X0,k1_zfmisc_1(X1)),X2)
| v1_xboole_0(X1)
| ~ r1_tarski(X2,X1)
| r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0 )
| ~ spl31_307
| ~ spl31_342 ),
inference(resolution,[],[f2952,f2565]) ).
fof(f13506,plain,
( spl31_887
| ~ spl31_154
| ~ spl31_323 ),
inference(avatar_split_clause,[],[f2852,f2789,f1362,f13504]) ).
fof(f13504,plain,
( spl31_887
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(sK12(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| ~ r2_hidden(sK12(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_887])]) ).
fof(f2852,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(sK12(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| ~ r2_hidden(sK12(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) )
| ~ spl31_154
| ~ spl31_323 ),
inference(resolution,[],[f2790,f1363]) ).
fof(f13362,plain,
( spl31_886
| ~ spl31_72
| ~ spl31_370 ),
inference(avatar_split_clause,[],[f3365,f3322,f880,f13360]) ).
fof(f3365,plain,
( ! [X0] :
( k2_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_370 ),
inference(resolution,[],[f3323,f881]) ).
fof(f13358,plain,
( spl31_885
| ~ spl31_72
| ~ spl31_367 ),
inference(avatar_split_clause,[],[f3333,f3310,f880,f13356]) ).
fof(f3333,plain,
( ! [X0] :
( k18_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_367 ),
inference(resolution,[],[f3311,f881]) ).
fof(f13350,plain,
( spl31_650
| ~ spl31_104
| ~ spl31_432 ),
inference(avatar_split_clause,[],[f4262,f4255,f1025,f7708]) ).
fof(f4262,plain,
( m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_104
| ~ spl31_432 ),
inference(resolution,[],[f4257,f1026]) ).
fof(f13349,plain,
( spl31_884
| ~ spl31_158
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2632,f2572,f1404,f13347]) ).
fof(f13347,plain,
( spl31_884
<=> ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| sK12(u1_struct_0(X0),X1) = k5_filter_2(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_884])]) ).
fof(f1404,plain,
( spl31_158
<=> ! [X0,X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_158])]) ).
fof(f2632,plain,
( ! [X0,X1] :
( r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1
| sK12(u1_struct_0(X0),X1) = k5_filter_2(X0,sK12(u1_struct_0(X0),X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_158
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1405]) ).
fof(f1405,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_158 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f13345,plain,
( spl31_883
| ~ spl31_158
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2608,f2564,f1404,f13343]) ).
fof(f13343,plain,
( spl31_883
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| sK12(X0,u1_struct_0(X1)) = k5_filter_2(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_883])]) ).
fof(f2608,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,u1_struct_0(X1)),X0)
| u1_struct_0(X1) = X0
| sK12(X0,u1_struct_0(X1)) = k5_filter_2(X1,sK12(X0,u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_158
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1405]) ).
fof(f12876,plain,
( ~ spl31_882
| ~ spl31_86
| ~ spl31_862 ),
inference(avatar_split_clause,[],[f12831,f12727,f946,f12873]) ).
fof(f12873,plain,
( spl31_882
<=> r2_hidden(k1_zfmisc_1(k1_filter_2(sK2)),sK4(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_882])]) ).
fof(f12727,plain,
( spl31_862
<=> r2_hidden(sK4(sK2),k1_zfmisc_1(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_862])]) ).
fof(f12831,plain,
( ~ r2_hidden(k1_zfmisc_1(k1_filter_2(sK2)),sK4(sK2))
| ~ spl31_86
| ~ spl31_862 ),
inference(resolution,[],[f12729,f947]) ).
fof(f12729,plain,
( r2_hidden(sK4(sK2),k1_zfmisc_1(k1_filter_2(sK2)))
| ~ spl31_862 ),
inference(avatar_component_clause,[],[f12727]) ).
fof(f12871,plain,
( spl31_881
| ~ spl31_90
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3743,f3693,f962,f12869]) ).
fof(f12869,plain,
( spl31_881
<=> ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK3(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_881])]) ).
fof(f962,plain,
( spl31_90
<=> ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_90])]) ).
fof(f3743,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK3(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_90
| ~ spl31_396 ),
inference(duplicate_literal_removal,[],[f3732]) ).
fof(f3732,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK3(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl31_90
| ~ spl31_396 ),
inference(resolution,[],[f3694,f963]) ).
fof(f963,plain,
( ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_90 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f12867,plain,
( spl31_880
| ~ spl31_117
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3742,f3693,f1124,f12865]) ).
fof(f12865,plain,
( spl31_880
<=> ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_880])]) ).
fof(f1124,plain,
( spl31_117
<=> ! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_117])]) ).
fof(f3742,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl31_117
| ~ spl31_396 ),
inference(duplicate_literal_removal,[],[f3733]) ).
fof(f3733,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_396 ),
inference(resolution,[],[f3694,f1125]) ).
fof(f1125,plain,
( ! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f12863,plain,
( spl31_879
| ~ spl31_94
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3731,f3693,f978,f12861]) ).
fof(f12861,plain,
( spl31_879
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_879])]) ).
fof(f978,plain,
( spl31_94
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_94])]) ).
fof(f3731,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X2,u1_struct_0(X0)) )
| ~ spl31_94
| ~ spl31_396 ),
inference(resolution,[],[f3694,f979]) ).
fof(f979,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl31_94 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f12859,plain,
( spl31_878
| ~ spl31_90
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3712,f3689,f962,f12857]) ).
fof(f12857,plain,
( spl31_878
<=> ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK3(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_878])]) ).
fof(f3712,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK3(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_90
| ~ spl31_395 ),
inference(duplicate_literal_removal,[],[f3701]) ).
fof(f3701,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK3(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl31_90
| ~ spl31_395 ),
inference(resolution,[],[f3690,f963]) ).
fof(f12855,plain,
( spl31_877
| ~ spl31_117
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3711,f3689,f1124,f12853]) ).
fof(f12853,plain,
( spl31_877
<=> ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_877])]) ).
fof(f3711,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl31_117
| ~ spl31_395 ),
inference(duplicate_literal_removal,[],[f3702]) ).
fof(f3702,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_395 ),
inference(resolution,[],[f3690,f1125]) ).
fof(f12851,plain,
( spl31_876
| ~ spl31_94
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3700,f3689,f978,f12849]) ).
fof(f12849,plain,
( spl31_876
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_876])]) ).
fof(f3700,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X2,u1_struct_0(X0)) )
| ~ spl31_94
| ~ spl31_395 ),
inference(resolution,[],[f3690,f979]) ).
fof(f12847,plain,
( spl31_875
| ~ spl31_90
| ~ spl31_391 ),
inference(avatar_split_clause,[],[f3663,f3645,f962,f12845]) ).
fof(f12845,plain,
( spl31_875
<=> ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK3(k2_zfmisc_1(X0,X1)))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK3(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_875])]) ).
fof(f3663,plain,
( ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK3(k2_zfmisc_1(X0,X1)))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK3(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_90
| ~ spl31_391 ),
inference(duplicate_literal_removal,[],[f3658]) ).
fof(f3658,plain,
( ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK3(k2_zfmisc_1(X0,X1)))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK3(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl31_90
| ~ spl31_391 ),
inference(resolution,[],[f3646,f963]) ).
fof(f12843,plain,
( spl31_874
| ~ spl31_65
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3589,f3540,f832,f12841]) ).
fof(f12841,plain,
( spl31_874
<=> ! [X0,X1] :
( sK10(k1_zfmisc_1(u1_struct_0(X0))) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_874])]) ).
fof(f3589,plain,
( ! [X0,X1] :
( sK10(k1_zfmisc_1(u1_struct_0(X0))) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_387 ),
inference(resolution,[],[f3541,f833]) ).
fof(f12839,plain,
( spl31_873
| ~ spl31_65
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3561,f3536,f832,f12837]) ).
fof(f12837,plain,
( spl31_873
<=> ! [X0,X1] :
( sK10(k1_zfmisc_1(u1_struct_0(X0))) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_873])]) ).
fof(f3561,plain,
( ! [X0,X1] :
( sK10(k1_zfmisc_1(u1_struct_0(X0))) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK10(k1_zfmisc_1(u1_struct_0(X0))),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_386 ),
inference(resolution,[],[f3537,f833]) ).
fof(f12835,plain,
( spl31_872
| ~ spl31_156
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3205,f3067,f1386,f12833]) ).
fof(f12833,plain,
( spl31_872
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_872])]) ).
fof(f1386,plain,
( spl31_156
<=> ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_156])]) ).
fof(f3205,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156
| ~ spl31_357 ),
inference(resolution,[],[f3068,f1387]) ).
fof(f1387,plain,
( ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f12828,plain,
( spl31_871
| ~ spl31_157
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3204,f3067,f1390,f12826]) ).
fof(f12826,plain,
( spl31_871
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_871])]) ).
fof(f1390,plain,
( spl31_157
<=> ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_157])]) ).
fof(f3204,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157
| ~ spl31_357 ),
inference(resolution,[],[f3068,f1391]) ).
fof(f1391,plain,
( ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f12824,plain,
( spl31_870
| ~ spl31_309
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2784,f2691,f2572,f12822]) ).
fof(f12822,plain,
( spl31_870
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),sK22)
| r1_filter_2(X0,sK22,sK12(k1_zfmisc_1(X0),X1))
| v1_xboole_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_870])]) ).
fof(f2784,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),sK22)
| r1_filter_2(X0,sK22,sK12(k1_zfmisc_1(X0),X1))
| v1_xboole_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1 )
| ~ spl31_309
| ~ spl31_322 ),
inference(resolution,[],[f2692,f2573]) ).
fof(f12820,plain,
( spl31_869
| ~ spl31_307
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2783,f2691,f2564,f12818]) ).
fof(f12818,plain,
( spl31_869
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(X1,k1_zfmisc_1(X0)),sK22)
| r1_filter_2(X0,sK22,sK12(X1,k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK12(X1,k1_zfmisc_1(X0)),X1)
| k1_zfmisc_1(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_869])]) ).
fof(f2783,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(X1,k1_zfmisc_1(X0)),sK22)
| r1_filter_2(X0,sK22,sK12(X1,k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK12(X1,k1_zfmisc_1(X0)),X1)
| k1_zfmisc_1(X0) = X1 )
| ~ spl31_307
| ~ spl31_322 ),
inference(resolution,[],[f2692,f2565]) ).
fof(f12816,plain,
( spl31_868
| ~ spl31_166
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2757,f2687,f1457,f12814]) ).
fof(f12814,plain,
( spl31_868
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v1_xboole_0(k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_868])]) ).
fof(f2687,plain,
( spl31_321
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_321])]) ).
fof(f2757,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v1_xboole_0(k2_filter_0(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_321 ),
inference(resolution,[],[f2688,f1458]) ).
fof(f2688,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_0(X1,X0)) )
| ~ spl31_321 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f12812,plain,
( spl31_867
| ~ spl31_166
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2738,f2683,f1457,f12810]) ).
fof(f12810,plain,
( spl31_867
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v1_xboole_0(k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_867])]) ).
fof(f2683,plain,
( spl31_320
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_320])]) ).
fof(f2738,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v1_xboole_0(k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_320 ),
inference(resolution,[],[f2684,f1458]) ).
fof(f2684,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_2(X1,X0)) )
| ~ spl31_320 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f12808,plain,
( spl31_866
| ~ spl31_166
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2719,f2679,f1457,f12806]) ).
fof(f12806,plain,
( spl31_866
<=> ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v1_xboole_0(k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_866])]) ).
fof(f2679,plain,
( spl31_319
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k18_filter_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_319])]) ).
fof(f2719,plain,
( ! [X0,X1] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v1_xboole_0(k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_319 ),
inference(resolution,[],[f2680,f1458]) ).
fof(f2680,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k18_filter_2(X1,X0)) )
| ~ spl31_319 ),
inference(avatar_component_clause,[],[f2679]) ).
fof(f12804,plain,
( spl31_865
| ~ spl31_173
| ~ spl31_235 ),
inference(avatar_split_clause,[],[f2011,f1984,f1546,f12802]) ).
fof(f12802,plain,
( spl31_865
<=> ! [X0,X1] :
( v1_xboole_0(a_2_0_filter_2(X0,X1))
| sK10(a_2_0_filter_2(X0,X1)) = sK16(sK10(a_2_0_filter_2(X0,X1)),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_865])]) ).
fof(f2011,plain,
( ! [X0,X1] :
( v1_xboole_0(a_2_0_filter_2(X0,X1))
| sK10(a_2_0_filter_2(X0,X1)) = sK16(sK10(a_2_0_filter_2(X0,X1)),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_173
| ~ spl31_235 ),
inference(resolution,[],[f1985,f1547]) ).
fof(f12800,plain,
( spl31_864
| ~ spl31_172
| ~ spl31_235 ),
inference(avatar_split_clause,[],[f2010,f1984,f1542,f12798]) ).
fof(f12798,plain,
( spl31_864
<=> ! [X0,X1] :
( v1_xboole_0(a_2_0_filter_0(X0,X1))
| sK10(a_2_0_filter_0(X0,X1)) = sK15(sK10(a_2_0_filter_0(X0,X1)),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_864])]) ).
fof(f2010,plain,
( ! [X0,X1] :
( v1_xboole_0(a_2_0_filter_0(X0,X1))
| sK10(a_2_0_filter_0(X0,X1)) = sK15(sK10(a_2_0_filter_0(X0,X1)),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_172
| ~ spl31_235 ),
inference(resolution,[],[f1985,f1543]) ).
fof(f12734,plain,
( spl31_862
| spl31_863
| ~ spl31_101
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3933,f3845,f1013,f12731,f12727]) ).
fof(f3933,plain,
( v1_xboole_0(k1_zfmisc_1(k1_filter_2(sK2)))
| r2_hidden(sK4(sK2),k1_zfmisc_1(k1_filter_2(sK2)))
| ~ spl31_101
| ~ spl31_404 ),
inference(resolution,[],[f3847,f1014]) ).
fof(f12603,plain,
( spl31_861
| ~ spl31_157
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3745,f3693,f1390,f12601]) ).
fof(f12601,plain,
( spl31_861
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_861])]) ).
fof(f3745,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X2,X0) )
| ~ spl31_157
| ~ spl31_396 ),
inference(duplicate_literal_removal,[],[f3729]) ).
fof(f3729,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157
| ~ spl31_396 ),
inference(resolution,[],[f3694,f1391]) ).
fof(f12595,plain,
( spl31_860
| ~ spl31_156
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3744,f3693,f1386,f12593]) ).
fof(f12593,plain,
( spl31_860
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_860])]) ).
fof(f3744,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X2,X0) )
| ~ spl31_156
| ~ spl31_396 ),
inference(duplicate_literal_removal,[],[f3730]) ).
fof(f3730,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156
| ~ spl31_396 ),
inference(resolution,[],[f3694,f1387]) ).
fof(f12591,plain,
( spl31_859
| ~ spl31_157
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3714,f3689,f1390,f12589]) ).
fof(f12589,plain,
( spl31_859
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_859])]) ).
fof(f3714,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X2,X0) )
| ~ spl31_157
| ~ spl31_395 ),
inference(duplicate_literal_removal,[],[f3698]) ).
fof(f3698,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157
| ~ spl31_395 ),
inference(resolution,[],[f3690,f1391]) ).
fof(f12587,plain,
( spl31_858
| ~ spl31_156
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3713,f3689,f1386,f12585]) ).
fof(f12585,plain,
( spl31_858
<=> ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_858])]) ).
fof(f3713,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X2,X0) )
| ~ spl31_156
| ~ spl31_395 ),
inference(duplicate_literal_removal,[],[f3699]) ).
fof(f3699,plain,
( ! [X2,X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,X2)
| ~ r1_filter_2(u1_struct_0(X0),X2,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156
| ~ spl31_395 ),
inference(resolution,[],[f3690,f1387]) ).
fof(f12583,plain,
( spl31_857
| ~ spl31_94
| ~ spl31_391 ),
inference(avatar_split_clause,[],[f3657,f3645,f978,f12581]) ).
fof(f12581,plain,
( spl31_857
<=> ! [X0,X3,X2,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_857])]) ).
fof(f3657,plain,
( ! [X2,X3,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl31_94
| ~ spl31_391 ),
inference(resolution,[],[f3646,f979]) ).
fof(f12579,plain,
( spl31_856
| ~ spl31_86
| ~ spl31_390 ),
inference(avatar_split_clause,[],[f3629,f3553,f946,f12577]) ).
fof(f12577,plain,
( spl31_856
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ r2_hidden(u1_struct_0(X1),sK16(X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_856])]) ).
fof(f3553,plain,
( spl31_390
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK16(X0,X1,X2),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_390])]) ).
fof(f3629,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_filter_2(X1,X0))
| ~ r2_hidden(u1_struct_0(X1),sK16(X2,X1,X0)) )
| ~ spl31_86
| ~ spl31_390 ),
inference(resolution,[],[f3554,f947]) ).
fof(f3554,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) )
| ~ spl31_390 ),
inference(avatar_component_clause,[],[f3553]) ).
fof(f12575,plain,
( spl31_855
| ~ spl31_86
| ~ spl31_389 ),
inference(avatar_split_clause,[],[f3613,f3549,f946,f12573]) ).
fof(f12573,plain,
( spl31_855
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0))
| ~ r2_hidden(u1_struct_0(X1),sK15(X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_855])]) ).
fof(f3549,plain,
( spl31_389
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK15(X0,X1,X2),u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_389])]) ).
fof(f3613,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,a_2_0_filter_0(X1,X0))
| ~ r2_hidden(u1_struct_0(X1),sK15(X2,X1,X0)) )
| ~ spl31_86
| ~ spl31_389 ),
inference(resolution,[],[f3550,f947]) ).
fof(f3550,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) )
| ~ spl31_389 ),
inference(avatar_component_clause,[],[f3549]) ).
fof(f12571,plain,
( spl31_854
| ~ spl31_65
| ~ spl31_378 ),
inference(avatar_split_clause,[],[f3470,f3448,f832,f12569]) ).
fof(f12569,plain,
( spl31_854
<=> ! [X2,X0,X1] :
( sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = X2
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_854])]) ).
fof(f3470,plain,
( ! [X2,X0,X1] :
( sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = X2
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_65
| ~ spl31_378 ),
inference(resolution,[],[f3449,f833]) ).
fof(f12567,plain,
( spl31_853
| ~ spl31_127
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3203,f3067,f1165,f12565]) ).
fof(f12565,plain,
( spl31_853
<=> ! [X0,X3,X2,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_853])]) ).
fof(f1165,plain,
( spl31_127
<=> ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_127])]) ).
fof(f3203,plain,
( ! [X2,X3,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl31_127
| ~ spl31_357 ),
inference(resolution,[],[f3068,f1166]) ).
fof(f1166,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_127 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f12563,plain,
( spl31_852
| ~ spl31_309
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2659,f2598,f2572,f12561]) ).
fof(f12561,plain,
( spl31_852
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),sK22)
| sK22 = sK12(k1_zfmisc_1(X0),X1)
| v1_xboole_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_852])]) ).
fof(f2659,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),sK22)
| sK22 = sK12(k1_zfmisc_1(X0),X1)
| v1_xboole_0(X0)
| r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1 )
| ~ spl31_309
| ~ spl31_314 ),
inference(resolution,[],[f2599,f2573]) ).
fof(f12559,plain,
( spl31_851
| ~ spl31_307
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2658,f2598,f2564,f12557]) ).
fof(f12557,plain,
( spl31_851
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(X1,k1_zfmisc_1(X0)),sK22)
| sK22 = sK12(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r2_hidden(sK12(X1,k1_zfmisc_1(X0)),X1)
| k1_zfmisc_1(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_851])]) ).
fof(f2658,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,sK12(X1,k1_zfmisc_1(X0)),sK22)
| sK22 = sK12(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r2_hidden(sK12(X1,k1_zfmisc_1(X0)),X1)
| k1_zfmisc_1(X0) = X1 )
| ~ spl31_307
| ~ spl31_314 ),
inference(resolution,[],[f2599,f2565]) ).
fof(f12555,plain,
( spl31_234
| spl31_850
| ~ spl31_129
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3926,f3845,f1173,f12552,f1979]) ).
fof(f12552,plain,
( spl31_850
<=> r1_filter_2(k1_filter_2(sK2),sK4(sK2),sK4(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_850])]) ).
fof(f3926,plain,
( r1_filter_2(k1_filter_2(sK2),sK4(sK2),sK4(sK2))
| v1_xboole_0(k1_filter_2(sK2))
| ~ spl31_129
| ~ spl31_404 ),
inference(resolution,[],[f3847,f1174]) ).
fof(f12310,plain,
( spl31_849
| ~ spl31_72
| ~ spl31_394 ),
inference(avatar_split_clause,[],[f3697,f3685,f880,f12308]) ).
fof(f3685,plain,
( spl31_394
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_394])]) ).
fof(f3697,plain,
( ! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_72
| ~ spl31_394 ),
inference(duplicate_literal_removal,[],[f3696]) ).
fof(f3696,plain,
( ! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_394 ),
inference(resolution,[],[f3686,f881]) ).
fof(f3686,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_394 ),
inference(avatar_component_clause,[],[f3685]) ).
fof(f12306,plain,
( spl31_848
| ~ spl31_127
| ~ spl31_391 ),
inference(avatar_split_clause,[],[f3656,f3645,f1165,f12304]) ).
fof(f12304,plain,
( spl31_848
<=> ! [X0,X3,X2,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_848])]) ).
fof(f3656,plain,
( ! [X2,X3,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl31_127
| ~ spl31_391 ),
inference(resolution,[],[f3646,f1166]) ).
fof(f12302,plain,
( spl31_847
| ~ spl31_90
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3598,f3540,f962,f12300]) ).
fof(f12300,plain,
( spl31_847
<=> ! [X0,X1] :
( sK3(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_847])]) ).
fof(f3598,plain,
( ! [X0,X1] :
( sK3(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_90
| ~ spl31_387 ),
inference(duplicate_literal_removal,[],[f3587]) ).
fof(f3587,plain,
( ! [X0,X1] :
( sK3(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl31_90
| ~ spl31_387 ),
inference(resolution,[],[f3541,f963]) ).
fof(f12298,plain,
( spl31_846
| ~ spl31_117
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3597,f3540,f1124,f12296]) ).
fof(f12296,plain,
( spl31_846
<=> ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_846])]) ).
fof(f3597,plain,
( ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl31_117
| ~ spl31_387 ),
inference(duplicate_literal_removal,[],[f3588]) ).
fof(f3588,plain,
( ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_387 ),
inference(resolution,[],[f3541,f1125]) ).
fof(f12294,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_845
| ~ spl31_118
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f1895,f1854,f1128,f12291,f537,f532,f527]) ).
fof(f12291,plain,
( spl31_845
<=> m2_filter_2(k1_filter_2(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_845])]) ).
fof(f1128,plain,
( spl31_118
<=> ! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_118])]) ).
fof(f1895,plain,
( m2_filter_2(k1_filter_2(sK2),sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_118
| ~ spl31_213 ),
inference(superposition,[],[f1129,f1856]) ).
fof(f1129,plain,
( ! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_118 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f12289,plain,
( spl31_844
| ~ spl31_94
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3586,f3540,f978,f12287]) ).
fof(f12287,plain,
( spl31_844
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r1_tarski(X0,u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_844])]) ).
fof(f3586,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r1_tarski(X0,u1_struct_0(X2)) )
| ~ spl31_94
| ~ spl31_387 ),
inference(resolution,[],[f3541,f979]) ).
fof(f12285,plain,
( spl31_843
| ~ spl31_90
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3570,f3536,f962,f12283]) ).
fof(f12283,plain,
( spl31_843
<=> ! [X0,X1] :
( sK3(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_843])]) ).
fof(f3570,plain,
( ! [X0,X1] :
( sK3(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_90
| ~ spl31_386 ),
inference(duplicate_literal_removal,[],[f3559]) ).
fof(f3559,plain,
( ! [X0,X1] :
( sK3(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK3(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl31_90
| ~ spl31_386 ),
inference(resolution,[],[f3537,f963]) ).
fof(f12281,plain,
( spl31_842
| ~ spl31_117
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3569,f3536,f1124,f12279]) ).
fof(f12279,plain,
( spl31_842
<=> ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_842])]) ).
fof(f3569,plain,
( ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl31_117
| ~ spl31_386 ),
inference(duplicate_literal_removal,[],[f3560]) ).
fof(f3560,plain,
( ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_386 ),
inference(resolution,[],[f3537,f1125]) ).
fof(f12277,plain,
( spl31_841
| ~ spl31_94
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3558,f3536,f978,f12275]) ).
fof(f12275,plain,
( spl31_841
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r1_tarski(X0,u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_841])]) ).
fof(f3558,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r1_tarski(X0,u1_struct_0(X2)) )
| ~ spl31_94
| ~ spl31_386 ),
inference(resolution,[],[f3537,f979]) ).
fof(f12273,plain,
( spl31_840
| ~ spl31_216
| ~ spl31_355 ),
inference(avatar_split_clause,[],[f3184,f3059,f1873,f12271]) ).
fof(f12271,plain,
( spl31_840
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_840])]) ).
fof(f3059,plain,
( spl31_355
<=> ! [X0] :
( k2_filter_0(X0,k6_lattices(X0)) = k2_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_355])]) ).
fof(f3184,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_216
| ~ spl31_355 ),
inference(resolution,[],[f3060,f1874]) ).
fof(f3060,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,k6_lattices(X0)) = k2_filter_2(X0,k6_lattices(X0)) )
| ~ spl31_355 ),
inference(avatar_component_clause,[],[f3059]) ).
fof(f12269,plain,
( spl31_839
| ~ spl31_217
| ~ spl31_354 ),
inference(avatar_split_clause,[],[f3175,f3055,f1877,f12267]) ).
fof(f12267,plain,
( spl31_839
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_839])]) ).
fof(f3055,plain,
( spl31_354
<=> ! [X0] :
( k2_filter_0(X0,k5_lattices(X0)) = k2_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_354])]) ).
fof(f3175,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = k2_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_217
| ~ spl31_354 ),
inference(resolution,[],[f3056,f1878]) ).
fof(f3056,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,k5_lattices(X0)) = k2_filter_2(X0,k5_lattices(X0)) )
| ~ spl31_354 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f12265,plain,
( spl31_838
| ~ spl31_216
| ~ spl31_351 ),
inference(avatar_split_clause,[],[f3154,f3041,f1873,f12263]) ).
fof(f12263,plain,
( spl31_838
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = a_2_0_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_838])]) ).
fof(f3041,plain,
( spl31_351
<=> ! [X0] :
( k18_filter_2(X0,k6_lattices(X0)) = a_2_0_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_351])]) ).
fof(f3154,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = a_2_0_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_216
| ~ spl31_351 ),
inference(resolution,[],[f3042,f1874]) ).
fof(f3042,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(X0,k6_lattices(X0)) = a_2_0_filter_2(X0,k6_lattices(X0)) )
| ~ spl31_351 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f12261,plain,
( spl31_837
| ~ spl31_217
| ~ spl31_350 ),
inference(avatar_split_clause,[],[f3146,f3037,f1877,f12259]) ).
fof(f12259,plain,
( spl31_837
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_837])]) ).
fof(f3037,plain,
( spl31_350
<=> ! [X0] :
( k18_filter_2(X0,k5_lattices(X0)) = a_2_0_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_350])]) ).
fof(f3146,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k18_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = a_2_0_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_217
| ~ spl31_350 ),
inference(resolution,[],[f3038,f1878]) ).
fof(f3038,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k18_filter_2(X0,k5_lattices(X0)) = a_2_0_filter_2(X0,k5_lattices(X0)) )
| ~ spl31_350 ),
inference(avatar_component_clause,[],[f3037]) ).
fof(f12257,plain,
( spl31_836
| ~ spl31_216
| ~ spl31_348 ),
inference(avatar_split_clause,[],[f3120,f3029,f1873,f12255]) ).
fof(f12255,plain,
( spl31_836
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = a_2_0_filter_0(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_836])]) ).
fof(f3029,plain,
( spl31_348
<=> ! [X0] :
( k2_filter_0(X0,k6_lattices(X0)) = a_2_0_filter_0(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_348])]) ).
fof(f3120,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k6_lattices(k1_lattice2(X0))) = a_2_0_filter_0(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_216
| ~ spl31_348 ),
inference(resolution,[],[f3030,f1874]) ).
fof(f3030,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,k6_lattices(X0)) = a_2_0_filter_0(X0,k6_lattices(X0)) )
| ~ spl31_348 ),
inference(avatar_component_clause,[],[f3029]) ).
fof(f12253,plain,
( spl31_835
| ~ spl31_217
| ~ spl31_347 ),
inference(avatar_split_clause,[],[f3111,f3025,f1877,f12251]) ).
fof(f12251,plain,
( spl31_835
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_835])]) ).
fof(f3025,plain,
( spl31_347
<=> ! [X0] :
( k2_filter_0(X0,k5_lattices(X0)) = a_2_0_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_347])]) ).
fof(f3111,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0))) = a_2_0_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_217
| ~ spl31_347 ),
inference(resolution,[],[f3026,f1878]) ).
fof(f3026,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,k5_lattices(X0)) = a_2_0_filter_0(X0,k5_lattices(X0)) )
| ~ spl31_347 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f12240,plain,
( spl31_834
| ~ spl31_156
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f2996,f2951,f1386,f12238]) ).
fof(f12238,plain,
( spl31_834
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ r1_tarski(X1,u1_struct_0(X2))
| ~ m1_filter_0(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_834])]) ).
fof(f2996,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ r1_tarski(X1,u1_struct_0(X2))
| ~ m1_filter_0(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_156
| ~ spl31_342 ),
inference(resolution,[],[f2952,f1387]) ).
fof(f12236,plain,
( spl31_833
| ~ spl31_157
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f2995,f2951,f1390,f12234]) ).
fof(f12234,plain,
( spl31_833
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ r1_tarski(X1,u1_struct_0(X2))
| ~ m2_lattice4(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_833])]) ).
fof(f2995,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ r1_tarski(X1,u1_struct_0(X2))
| ~ m2_lattice4(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_157
| ~ spl31_342 ),
inference(resolution,[],[f2952,f1391]) ).
fof(f12006,plain,
( spl31_832
| ~ spl31_157
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3600,f3540,f1390,f12004]) ).
fof(f12004,plain,
( spl31_832
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_832])]) ).
fof(f3600,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X0,X2) )
| ~ spl31_157
| ~ spl31_387 ),
inference(duplicate_literal_removal,[],[f3584]) ).
fof(f3584,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_157
| ~ spl31_387 ),
inference(resolution,[],[f3541,f1391]) ).
fof(f12002,plain,
( spl31_831
| ~ spl31_156
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3599,f3540,f1386,f12000]) ).
fof(f12000,plain,
( spl31_831
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_831])]) ).
fof(f3599,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X0,X2) )
| ~ spl31_156
| ~ spl31_387 ),
inference(duplicate_literal_removal,[],[f3585]) ).
fof(f3585,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_156
| ~ spl31_387 ),
inference(resolution,[],[f3541,f1387]) ).
fof(f11998,plain,
( spl31_830
| ~ spl31_157
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3572,f3536,f1390,f11996]) ).
fof(f11996,plain,
( spl31_830
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_830])]) ).
fof(f3572,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X0,X2) )
| ~ spl31_157
| ~ spl31_386 ),
inference(duplicate_literal_removal,[],[f3556]) ).
fof(f3556,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m2_lattice4(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_157
| ~ spl31_386 ),
inference(resolution,[],[f3537,f1391]) ).
fof(f11994,plain,
( ~ spl31_829
| ~ spl31_86
| ~ spl31_816 ),
inference(avatar_split_clause,[],[f11869,f11808,f946,f11991]) ).
fof(f11991,plain,
( spl31_829
<=> r2_hidden(k1_filter_2(sK2),sK10(sK4(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_829])]) ).
fof(f11808,plain,
( spl31_816
<=> r2_hidden(sK10(sK4(sK2)),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_816])]) ).
fof(f11869,plain,
( ~ r2_hidden(k1_filter_2(sK2),sK10(sK4(sK2)))
| ~ spl31_86
| ~ spl31_816 ),
inference(resolution,[],[f11810,f947]) ).
fof(f11810,plain,
( r2_hidden(sK10(sK4(sK2)),k1_filter_2(sK2))
| ~ spl31_816 ),
inference(avatar_component_clause,[],[f11808]) ).
fof(f11989,plain,
( spl31_828
| ~ spl31_156
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3571,f3536,f1386,f11987]) ).
fof(f11987,plain,
( spl31_828
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_828])]) ).
fof(f3571,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X0,X2) )
| ~ spl31_156
| ~ spl31_386 ),
inference(duplicate_literal_removal,[],[f3557]) ).
fof(f3557,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(u1_struct_0(X2),X0,X1)
| v1_xboole_0(u1_struct_0(X2))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ m1_filter_0(X0,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl31_156
| ~ spl31_386 ),
inference(resolution,[],[f3537,f1387]) ).
fof(f11985,plain,
( spl31_827
| ~ spl31_90
| ~ spl31_378 ),
inference(avatar_split_clause,[],[f3474,f3448,f962,f11983]) ).
fof(f11983,plain,
( spl31_827
<=> ! [X2,X0,X1] :
( sK3(k2_zfmisc_1(X0,X1)) = X2
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK3(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_827])]) ).
fof(f3474,plain,
( ! [X2,X0,X1] :
( sK3(k2_zfmisc_1(X0,X1)) = X2
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK3(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_90
| ~ spl31_378 ),
inference(duplicate_literal_removal,[],[f3469]) ).
fof(f3469,plain,
( ! [X2,X0,X1] :
( sK3(k2_zfmisc_1(X0,X1)) = X2
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK3(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl31_90
| ~ spl31_378 ),
inference(resolution,[],[f3449,f963]) ).
fof(f11970,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_826
| ~ spl31_177
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11133,f2167,f2119,f1566,f11968,f657,f702,f662]) ).
fof(f11968,plain,
( spl31_826
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| m1_subset_1(sK16(X0,sK26,X1),k1_filter_2(sK26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_826])]) ).
fof(f11133,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| m1_subset_1(sK16(X0,sK26,X1),k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_177
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f11132,f2169]) ).
fof(f11132,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK26,X1),k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_177
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2140,f2169]) ).
fof(f2140,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK26,X1),k17_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_2(sK26,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_177
| ~ spl31_256 ),
inference(superposition,[],[f1567,f2121]) ).
fof(f11955,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_825
| ~ spl31_175
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11131,f2167,f2119,f1558,f11953,f657,f702,f662]) ).
fof(f11953,plain,
( spl31_825
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| m1_subset_1(sK15(X0,sK26,X1),k1_filter_2(sK26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_825])]) ).
fof(f11131,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK26))
| m1_subset_1(sK15(X0,sK26,X1),k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_175
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f11130,f2169]) ).
fof(f11130,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK26,X1),k1_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_175
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2139,f2169]) ).
fof(f2139,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK26,X1),k17_filter_2(sK26))
| ~ r2_hidden(X0,a_2_0_filter_0(sK26,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_175
| ~ spl31_256 ),
inference(superposition,[],[f1559,f2121]) ).
fof(f11914,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_824
| ~ spl31_171
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11129,f2167,f2119,f1526,f11912,f657,f702,f662]) ).
fof(f11912,plain,
( spl31_824
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_2(sK26,X0) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_824])]) ).
fof(f11129,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_2(sK26,X0) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_171
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2138,f2169]) ).
fof(f2138,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| k2_filter_2(sK26,X0) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_171
| ~ spl31_256 ),
inference(superposition,[],[f1527,f2121]) ).
fof(f11876,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_823
| ~ spl31_170
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11128,f2167,f2119,f1522,f11874,f657,f702,f662]) ).
fof(f11874,plain,
( spl31_823
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k18_filter_2(sK26,X0) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_823])]) ).
fof(f11128,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k18_filter_2(sK26,X0) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_170
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2137,f2169]) ).
fof(f2137,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| k18_filter_2(sK26,X0) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,X0))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_170
| ~ spl31_256 ),
inference(superposition,[],[f1523,f2121]) ).
fof(f11860,plain,
( spl31_822
| ~ spl31_795
| ~ spl31_807
| ~ spl31_821 ),
inference(avatar_split_clause,[],[f11855,f11850,f11604,f11214,f11857]) ).
fof(f11857,plain,
( spl31_822
<=> k2_filter_0(sK26,k6_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k6_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_822])]) ).
fof(f11214,plain,
( spl31_795
<=> k6_lattices(sK26) = k5_filter_2(sK26,k6_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_795])]) ).
fof(f11604,plain,
( spl31_807
<=> k2_filter_0(sK26,k6_lattices(sK26)) = k2_filter_2(sK26,k6_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_807])]) ).
fof(f11850,plain,
( spl31_821
<=> k2_filter_2(sK26,k6_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k6_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_821])]) ).
fof(f11855,plain,
( k2_filter_0(sK26,k6_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k6_lattices(sK26))
| ~ spl31_795
| ~ spl31_807
| ~ spl31_821 ),
inference(forward_demodulation,[],[f11854,f11606]) ).
fof(f11606,plain,
( k2_filter_0(sK26,k6_lattices(sK26)) = k2_filter_2(sK26,k6_lattices(sK26))
| ~ spl31_807 ),
inference(avatar_component_clause,[],[f11604]) ).
fof(f11854,plain,
( k2_filter_2(sK26,k6_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k6_lattices(sK26))
| ~ spl31_795
| ~ spl31_821 ),
inference(forward_demodulation,[],[f11852,f11216]) ).
fof(f11216,plain,
( k6_lattices(sK26) = k5_filter_2(sK26,k6_lattices(sK26))
| ~ spl31_795 ),
inference(avatar_component_clause,[],[f11214]) ).
fof(f11852,plain,
( k2_filter_2(sK26,k6_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k6_lattices(sK26)))
| ~ spl31_821 ),
inference(avatar_component_clause,[],[f11850]) ).
fof(f11853,plain,
( spl31_821
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_198
| ~ spl31_372 ),
inference(avatar_split_clause,[],[f3392,f3330,f1714,f657,f702,f662,f11850]) ).
fof(f3392,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_2(sK26,k6_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k6_lattices(sK26)))
| ~ spl31_198
| ~ spl31_372 ),
inference(resolution,[],[f3331,f1716]) ).
fof(f1716,plain,
( l2_lattices(sK26)
| ~ spl31_198 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f11844,plain,
( spl31_820
| ~ spl31_794
| ~ spl31_797
| ~ spl31_819 ),
inference(avatar_split_clause,[],[f11839,f11834,f11274,f11200,f11841]) ).
fof(f11841,plain,
( spl31_820
<=> k1_filter_2(sK26) = k18_filter_2(k1_lattice2(sK26),k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_820])]) ).
fof(f11200,plain,
( spl31_794
<=> k5_lattices(sK26) = k5_filter_2(sK26,k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_794])]) ).
fof(f11274,plain,
( spl31_797
<=> k1_filter_2(sK26) = k2_filter_2(sK26,k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_797])]) ).
fof(f11834,plain,
( spl31_819
<=> k2_filter_2(sK26,k5_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k5_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_819])]) ).
fof(f11839,plain,
( k1_filter_2(sK26) = k18_filter_2(k1_lattice2(sK26),k5_lattices(sK26))
| ~ spl31_794
| ~ spl31_797
| ~ spl31_819 ),
inference(forward_demodulation,[],[f11838,f11276]) ).
fof(f11276,plain,
( k1_filter_2(sK26) = k2_filter_2(sK26,k5_lattices(sK26))
| ~ spl31_797 ),
inference(avatar_component_clause,[],[f11274]) ).
fof(f11838,plain,
( k2_filter_2(sK26,k5_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k5_lattices(sK26))
| ~ spl31_794
| ~ spl31_819 ),
inference(forward_demodulation,[],[f11836,f11202]) ).
fof(f11202,plain,
( k5_lattices(sK26) = k5_filter_2(sK26,k5_lattices(sK26))
| ~ spl31_794 ),
inference(avatar_component_clause,[],[f11200]) ).
fof(f11836,plain,
( k2_filter_2(sK26,k5_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k5_lattices(sK26)))
| ~ spl31_819 ),
inference(avatar_component_clause,[],[f11834]) ).
fof(f11837,plain,
( spl31_819
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_193
| ~ spl31_371 ),
inference(avatar_split_clause,[],[f3384,f3326,f1689,f657,f702,f662,f11834]) ).
fof(f3384,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_2(sK26,k5_lattices(sK26)) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k5_lattices(sK26)))
| ~ spl31_193
| ~ spl31_371 ),
inference(resolution,[],[f3327,f1691]) ).
fof(f1691,plain,
( l1_lattices(sK26)
| ~ spl31_193 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f11827,plain,
( spl31_818
| ~ spl31_795
| ~ spl31_817 ),
inference(avatar_split_clause,[],[f11822,f11818,f11214,f11824]) ).
fof(f11824,plain,
( spl31_818
<=> k18_filter_2(sK26,k6_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k6_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_818])]) ).
fof(f11818,plain,
( spl31_817
<=> k18_filter_2(sK26,k6_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k6_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_817])]) ).
fof(f11822,plain,
( k18_filter_2(sK26,k6_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k6_lattices(sK26))
| ~ spl31_795
| ~ spl31_817 ),
inference(forward_demodulation,[],[f11820,f11216]) ).
fof(f11820,plain,
( k18_filter_2(sK26,k6_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k6_lattices(sK26)))
| ~ spl31_817 ),
inference(avatar_component_clause,[],[f11818]) ).
fof(f11821,plain,
( spl31_817
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_198
| ~ spl31_369 ),
inference(avatar_split_clause,[],[f3363,f3318,f1714,f657,f702,f662,f11818]) ).
fof(f3363,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k18_filter_2(sK26,k6_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k6_lattices(sK26)))
| ~ spl31_198
| ~ spl31_369 ),
inference(resolution,[],[f3319,f1716]) ).
fof(f11811,plain,
( spl31_816
| spl31_234
| ~ spl31_101
| ~ spl31_427 ),
inference(avatar_split_clause,[],[f6856,f4229,f1013,f1979,f11808]) ).
fof(f6856,plain,
( v1_xboole_0(k1_filter_2(sK2))
| r2_hidden(sK10(sK4(sK2)),k1_filter_2(sK2))
| ~ spl31_101
| ~ spl31_427 ),
inference(resolution,[],[f4231,f1014]) ).
fof(f11806,plain,
( spl31_815
| ~ spl31_794
| ~ spl31_814 ),
inference(avatar_split_clause,[],[f11801,f11797,f11200,f11803]) ).
fof(f11803,plain,
( spl31_815
<=> k18_filter_2(sK26,k5_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_815])]) ).
fof(f11797,plain,
( spl31_814
<=> k18_filter_2(sK26,k5_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k5_lattices(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_814])]) ).
fof(f11801,plain,
( k18_filter_2(sK26,k5_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_lattices(sK26))
| ~ spl31_794
| ~ spl31_814 ),
inference(forward_demodulation,[],[f11799,f11202]) ).
fof(f11799,plain,
( k18_filter_2(sK26,k5_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k5_lattices(sK26)))
| ~ spl31_814 ),
inference(avatar_component_clause,[],[f11797]) ).
fof(f11800,plain,
( spl31_814
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_193
| ~ spl31_368 ),
inference(avatar_split_clause,[],[f3352,f3314,f1689,f657,f702,f662,f11797]) ).
fof(f3352,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k18_filter_2(sK26,k5_lattices(sK26)) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,k5_lattices(sK26)))
| ~ spl31_193
| ~ spl31_368 ),
inference(resolution,[],[f3315,f1691]) ).
fof(f11764,plain,
( spl31_28
| ~ spl31_32
| ~ spl31_34
| ~ spl31_35
| ~ spl31_27
| spl31_813
| ~ spl31_256
| ~ spl31_261
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3299,f3237,f2167,f2119,f11762,f657,f697,f692,f682,f662]) ).
fof(f3299,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| r3_lattices(sK26,X0,X0)
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_364 ),
inference(forward_demodulation,[],[f3292,f2169]) ).
fof(f3292,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| r3_lattices(sK26,X0,X0)
| ~ l3_lattices(sK26)
| ~ v9_lattices(sK26)
| ~ v8_lattices(sK26)
| ~ v6_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_256
| ~ spl31_364 ),
inference(superposition,[],[f3238,f2121]) ).
fof(f11728,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_812
| ~ spl31_165
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11127,f2167,f2119,f1453,f11726,f657,f702,f662]) ).
fof(f11726,plain,
( spl31_812
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_0(sK26,X0) = k2_filter_2(sK26,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_812])]) ).
fof(f11127,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_0(sK26,X0) = k2_filter_2(sK26,X0)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_165
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2136,f2169]) ).
fof(f2136,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| k2_filter_0(sK26,X0) = k2_filter_2(sK26,X0)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_165
| ~ spl31_256 ),
inference(superposition,[],[f1454,f2121]) ).
fof(f11693,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_811
| ~ spl31_164
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11126,f2167,f2119,f1449,f11691,f657,f702,f662]) ).
fof(f11691,plain,
( spl31_811
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k18_filter_2(sK26,X0) = a_2_0_filter_2(sK26,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_811])]) ).
fof(f11126,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k18_filter_2(sK26,X0) = a_2_0_filter_2(sK26,X0)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_164
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2135,f2169]) ).
fof(f2135,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| k18_filter_2(sK26,X0) = a_2_0_filter_2(sK26,X0)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_164
| ~ spl31_256 ),
inference(superposition,[],[f1450,f2121]) ).
fof(f11657,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_810
| ~ spl31_163
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11125,f2167,f2119,f1445,f11655,f657,f702,f662]) ).
fof(f11655,plain,
( spl31_810
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_0(sK26,X0) = a_2_0_filter_0(sK26,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_810])]) ).
fof(f11125,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k2_filter_0(sK26,X0) = a_2_0_filter_0(sK26,X0)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_163
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2134,f2169]) ).
fof(f2134,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| k2_filter_0(sK26,X0) = a_2_0_filter_0(sK26,X0)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_163
| ~ spl31_256 ),
inference(superposition,[],[f1446,f2121]) ).
fof(f11653,plain,
( spl31_809
| ~ spl31_427
| ~ spl31_460 ),
inference(avatar_split_clause,[],[f6843,f4792,f4229,f11650]) ).
fof(f11650,plain,
( spl31_809
<=> sK10(sK4(sK2)) = k5_filter_2(sK2,sK10(sK4(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_809])]) ).
fof(f11617,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_808
| ~ spl31_158
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11124,f2167,f2119,f1404,f11615,f657,f702,f662]) ).
fof(f11615,plain,
( spl31_808
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k5_filter_2(sK26,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_808])]) ).
fof(f11124,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| k5_filter_2(sK26,X0) = X0
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_158
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2133,f2169]) ).
fof(f2133,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| k5_filter_2(sK26,X0) = X0
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_158
| ~ spl31_256 ),
inference(superposition,[],[f1405,f2121]) ).
fof(f11607,plain,
( spl31_807
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_198
| ~ spl31_355 ),
inference(avatar_split_clause,[],[f3190,f3059,f1714,f657,f702,f662,f11604]) ).
fof(f3190,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_0(sK26,k6_lattices(sK26)) = k2_filter_2(sK26,k6_lattices(sK26))
| ~ spl31_198
| ~ spl31_355 ),
inference(resolution,[],[f3060,f1716]) ).
fof(f11555,plain,
( spl31_806
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_198
| ~ spl31_351 ),
inference(avatar_split_clause,[],[f3160,f3041,f1714,f657,f702,f662,f11552]) ).
fof(f11552,plain,
( spl31_806
<=> k18_filter_2(sK26,k6_lattices(sK26)) = a_2_0_filter_2(sK26,k6_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_806])]) ).
fof(f3160,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k18_filter_2(sK26,k6_lattices(sK26)) = a_2_0_filter_2(sK26,k6_lattices(sK26))
| ~ spl31_198
| ~ spl31_351 ),
inference(resolution,[],[f3042,f1716]) ).
fof(f11503,plain,
( spl31_805
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_193
| ~ spl31_350 ),
inference(avatar_split_clause,[],[f3152,f3037,f1689,f657,f702,f662,f11500]) ).
fof(f11500,plain,
( spl31_805
<=> k18_filter_2(sK26,k5_lattices(sK26)) = a_2_0_filter_2(sK26,k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_805])]) ).
fof(f3152,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k18_filter_2(sK26,k5_lattices(sK26)) = a_2_0_filter_2(sK26,k5_lattices(sK26))
| ~ spl31_193
| ~ spl31_350 ),
inference(resolution,[],[f3038,f1691]) ).
fof(f11451,plain,
( spl31_804
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_198
| ~ spl31_348 ),
inference(avatar_split_clause,[],[f3126,f3029,f1714,f657,f702,f662,f11448]) ).
fof(f11448,plain,
( spl31_804
<=> k2_filter_0(sK26,k6_lattices(sK26)) = a_2_0_filter_0(sK26,k6_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_804])]) ).
fof(f3126,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_0(sK26,k6_lattices(sK26)) = a_2_0_filter_0(sK26,k6_lattices(sK26))
| ~ spl31_198
| ~ spl31_348 ),
inference(resolution,[],[f3030,f1716]) ).
fof(f11414,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_803
| ~ spl31_157
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11123,f2167,f2119,f1390,f11412,f657,f702,f662]) ).
fof(f11412,plain,
( spl31_803
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK26)))
| ~ m2_lattice4(X0,sK26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_803])]) ).
fof(f11123,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK26)))
| ~ m2_lattice4(X0,sK26)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_157
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2132,f2169]) ).
fof(f2132,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK26)))
| ~ m2_lattice4(X0,sK26)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_157
| ~ spl31_256 ),
inference(superposition,[],[f1391,f2121]) ).
fof(f11400,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_802
| ~ spl31_156
| ~ spl31_256
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f11122,f2167,f2119,f1386,f11398,f657,f702,f662]) ).
fof(f11398,plain,
( spl31_802
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK26)))
| ~ m1_filter_0(X0,sK26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_802])]) ).
fof(f11122,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK26)))
| ~ m1_filter_0(X0,sK26)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_156
| ~ spl31_256
| ~ spl31_261 ),
inference(forward_demodulation,[],[f2131,f2169]) ).
fof(f2131,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK26)))
| ~ m1_filter_0(X0,sK26)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl31_156
| ~ spl31_256 ),
inference(superposition,[],[f1387,f2121]) ).
fof(f11364,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_801
| ~ spl31_256
| ~ spl31_261
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2774,f2687,f2167,f2119,f11362,f657,f702,f662]) ).
fof(f2774,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ v1_xboole_0(k2_filter_0(sK26,X0)) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_321 ),
inference(forward_demodulation,[],[f2767,f2169]) ).
fof(f2767,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ v1_xboole_0(k2_filter_0(sK26,X0)) )
| ~ spl31_256
| ~ spl31_321 ),
inference(superposition,[],[f2688,f2121]) ).
fof(f11327,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_800
| ~ spl31_256
| ~ spl31_261
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2755,f2683,f2167,f2119,f11325,f657,f702,f662]) ).
fof(f2755,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ v1_xboole_0(k2_filter_2(sK26,X0)) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_320 ),
inference(forward_demodulation,[],[f2748,f2169]) ).
fof(f2748,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ v1_xboole_0(k2_filter_2(sK26,X0)) )
| ~ spl31_256
| ~ spl31_320 ),
inference(superposition,[],[f2684,f2121]) ).
fof(f11292,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_799
| ~ spl31_256
| ~ spl31_261
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2736,f2679,f2167,f2119,f11290,f657,f702,f662]) ).
fof(f2736,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ v1_xboole_0(k18_filter_2(sK26,X0)) )
| ~ spl31_256
| ~ spl31_261
| ~ spl31_319 ),
inference(forward_demodulation,[],[f2729,f2169]) ).
fof(f2729,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ v1_xboole_0(k18_filter_2(sK26,X0)) )
| ~ spl31_256
| ~ spl31_319 ),
inference(superposition,[],[f2680,f2121]) ).
fof(f11288,plain,
( spl31_798
| ~ spl31_427
| ~ spl31_469 ),
inference(avatar_split_clause,[],[f6847,f4866,f4229,f11285]) ).
fof(f11285,plain,
( spl31_798
<=> r3_lattices(sK2,sK10(sK4(sK2)),sK10(sK4(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_798])]) ).
fof(f6847,plain,
( r3_lattices(sK2,sK10(sK4(sK2)),sK10(sK4(sK2)))
| ~ spl31_427
| ~ spl31_469 ),
inference(resolution,[],[f4231,f4867]) ).
fof(f11277,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_797
| ~ spl31_193
| ~ spl31_313
| ~ spl31_354 ),
inference(avatar_split_clause,[],[f3183,f3055,f2592,f1689,f11274,f657,f702,f662]) ).
fof(f2592,plain,
( spl31_313
<=> k1_filter_2(sK26) = k2_filter_0(sK26,k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_313])]) ).
fof(f3183,plain,
( k1_filter_2(sK26) = k2_filter_2(sK26,k5_lattices(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_193
| ~ spl31_313
| ~ spl31_354 ),
inference(forward_demodulation,[],[f3181,f2594]) ).
fof(f2594,plain,
( k1_filter_2(sK26) = k2_filter_0(sK26,k5_lattices(sK26))
| ~ spl31_313 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f3181,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_0(sK26,k5_lattices(sK26)) = k2_filter_2(sK26,k5_lattices(sK26))
| ~ spl31_193
| ~ spl31_354 ),
inference(resolution,[],[f3056,f1691]) ).
fof(f11227,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_796
| ~ spl31_193
| ~ spl31_313
| ~ spl31_347 ),
inference(avatar_split_clause,[],[f3119,f3025,f2592,f1689,f11224,f657,f702,f662]) ).
fof(f11224,plain,
( spl31_796
<=> k1_filter_2(sK26) = a_2_0_filter_0(sK26,k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_796])]) ).
fof(f3119,plain,
( k1_filter_2(sK26) = a_2_0_filter_0(sK26,k5_lattices(sK26))
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_193
| ~ spl31_313
| ~ spl31_347 ),
inference(forward_demodulation,[],[f3117,f2594]) ).
fof(f3117,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k2_filter_0(sK26,k5_lattices(sK26)) = a_2_0_filter_0(sK26,k5_lattices(sK26))
| ~ spl31_193
| ~ spl31_347 ),
inference(resolution,[],[f3026,f1691]) ).
fof(f11217,plain,
( spl31_795
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_198
| ~ spl31_332 ),
inference(avatar_split_clause,[],[f2908,f2826,f1714,f657,f702,f662,f11214]) ).
fof(f2826,plain,
( spl31_332
<=> ! [X0] :
( k6_lattices(X0) = k5_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_332])]) ).
fof(f2908,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k6_lattices(sK26) = k5_filter_2(sK26,k6_lattices(sK26))
| ~ spl31_198
| ~ spl31_332 ),
inference(resolution,[],[f2827,f1716]) ).
fof(f2827,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k5_filter_2(X0,k6_lattices(X0)) )
| ~ spl31_332 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f11203,plain,
( spl31_794
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_193
| ~ spl31_331 ),
inference(avatar_split_clause,[],[f2900,f2822,f1689,f657,f702,f662,f11200]) ).
fof(f2822,plain,
( spl31_331
<=> ! [X0] :
( k5_lattices(X0) = k5_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_331])]) ).
fof(f2900,plain,
( ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| k5_lattices(sK26) = k5_filter_2(sK26,k5_lattices(sK26))
| ~ spl31_193
| ~ spl31_331 ),
inference(resolution,[],[f2823,f1691]) ).
fof(f2823,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k5_lattices(X0) = k5_filter_2(X0,k5_lattices(X0)) )
| ~ spl31_331 ),
inference(avatar_component_clause,[],[f2822]) ).
fof(f11175,plain,
( ~ spl31_233
| ~ spl31_74
| ~ spl31_564 ),
inference(avatar_split_clause,[],[f11135,f6244,f888,f1974]) ).
fof(f11135,plain,
( ~ sP1(sK26)
| ~ spl31_74
| ~ spl31_564 ),
inference(resolution,[],[f6246,f889]) ).
fof(f6246,plain,
( v3_struct_0(k1_lattice2(sK26))
| ~ spl31_564 ),
inference(avatar_component_clause,[],[f6244]) ).
fof(f11174,plain,
( spl31_793
| ~ spl31_117
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3207,f3067,f1124,f11172]) ).
fof(f11172,plain,
( spl31_793
<=> ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_793])]) ).
fof(f3207,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_357 ),
inference(resolution,[],[f3068,f1125]) ).
fof(f11170,plain,
( spl31_792
| ~ spl31_72
| ~ spl31_353 ),
inference(avatar_split_clause,[],[f3162,f3051,f880,f11168]) ).
fof(f3162,plain,
( ! [X0] :
( k2_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = k2_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_353 ),
inference(resolution,[],[f3052,f881]) ).
fof(f11166,plain,
( spl31_791
| ~ spl31_72
| ~ spl31_349 ),
inference(avatar_split_clause,[],[f3133,f3033,f880,f11164]) ).
fof(f3133,plain,
( ! [X0] :
( k18_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = a_2_0_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_349 ),
inference(resolution,[],[f3034,f881]) ).
fof(f11162,plain,
( spl31_790
| ~ spl31_72
| ~ spl31_346 ),
inference(avatar_split_clause,[],[f3098,f3021,f880,f11160]) ).
fof(f3098,plain,
( ! [X0] :
( k2_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0)))) = a_2_0_filter_0(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_346 ),
inference(resolution,[],[f3022,f881]) ).
fof(f11158,plain,
( spl31_789
| ~ spl31_309
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2761,f2687,f2572,f11156]) ).
fof(f11156,plain,
( spl31_789
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK12(u1_struct_0(X0),X1)))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_789])]) ).
fof(f2761,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK12(u1_struct_0(X0),X1)))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_321 ),
inference(resolution,[],[f2688,f2573]) ).
fof(f11154,plain,
( spl31_788
| ~ spl31_307
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2760,f2687,f2564,f11152]) ).
fof(f11152,plain,
( spl31_788
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK12(X1,u1_struct_0(X0))))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_788])]) ).
fof(f2760,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK12(X1,u1_struct_0(X0))))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_321 ),
inference(resolution,[],[f2688,f2565]) ).
fof(f11150,plain,
( spl31_787
| ~ spl31_309
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2742,f2683,f2572,f11148]) ).
fof(f11148,plain,
( spl31_787
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_787])]) ).
fof(f2742,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_320 ),
inference(resolution,[],[f2684,f2573]) ).
fof(f11146,plain,
( spl31_786
| ~ spl31_307
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2741,f2683,f2564,f11144]) ).
fof(f11144,plain,
( spl31_786
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_786])]) ).
fof(f2741,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_320 ),
inference(resolution,[],[f2684,f2565]) ).
fof(f11018,plain,
( ~ spl31_27
| ~ spl31_217
| spl31_565 ),
inference(avatar_split_clause,[],[f6256,f6248,f1877,f657]) ).
fof(f6256,plain,
( ~ l3_lattices(sK26)
| ~ spl31_217
| spl31_565 ),
inference(resolution,[],[f6250,f1878]) ).
fof(f6250,plain,
( ~ l1_lattices(k1_lattice2(sK26))
| spl31_565 ),
inference(avatar_component_clause,[],[f6248]) ).
fof(f11017,plain,
( spl31_785
| ~ spl31_309
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2723,f2679,f2572,f11015]) ).
fof(f11015,plain,
( spl31_785
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_785])]) ).
fof(f2723,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK12(u1_struct_0(X0),X1)))
| r2_hidden(sK12(u1_struct_0(X0),X1),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_309
| ~ spl31_319 ),
inference(resolution,[],[f2680,f2573]) ).
fof(f11013,plain,
( spl31_784
| ~ spl31_307
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2722,f2679,f2564,f11011]) ).
fof(f11011,plain,
( spl31_784
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_784])]) ).
fof(f2722,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK12(X1,u1_struct_0(X0))))
| r2_hidden(sK12(X1,u1_struct_0(X0)),X1)
| u1_struct_0(X0) = X1 )
| ~ spl31_307
| ~ spl31_319 ),
inference(resolution,[],[f2680,f2565]) ).
fof(f10894,plain,
( spl31_783
| ~ spl31_83
| ~ spl31_215
| ~ spl31_396 ),
inference(avatar_split_clause,[],[f3747,f3693,f1867,f925,f10892]) ).
fof(f10892,plain,
( spl31_783
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| r1_filter_2(u1_struct_0(X0),X1,sK22)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_783])]) ).
fof(f925,plain,
( spl31_83
<=> ! [X0] : m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_83])]) ).
fof(f1867,plain,
( spl31_215
<=> ! [X0] : sK11(X0) = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_215])]) ).
fof(f3747,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| r1_filter_2(u1_struct_0(X0),X1,sK22)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_396 ),
inference(forward_demodulation,[],[f3746,f1868]) ).
fof(f1868,plain,
( ! [X0] : sK11(X0) = sK22
| ~ spl31_215 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f3746,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK22)
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_396 ),
inference(forward_demodulation,[],[f3735,f1868]) ).
fof(f3735,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK11(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_396 ),
inference(resolution,[],[f3694,f926]) ).
fof(f926,plain,
( ! [X0] : m1_subset_1(sK11(X0),k1_zfmisc_1(X0))
| ~ spl31_83 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f10890,plain,
( spl31_782
| ~ spl31_83
| ~ spl31_215
| ~ spl31_395 ),
inference(avatar_split_clause,[],[f3716,f3689,f1867,f925,f10888]) ).
fof(f10888,plain,
( spl31_782
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| r1_filter_2(u1_struct_0(X0),X1,sK22)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_782])]) ).
fof(f3716,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| r1_filter_2(u1_struct_0(X0),X1,sK22)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_395 ),
inference(forward_demodulation,[],[f3715,f1868]) ).
fof(f3715,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK22)
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_395 ),
inference(forward_demodulation,[],[f3704,f1868]) ).
fof(f3704,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),X1,sK11(u1_struct_0(X0)))
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_395 ),
inference(resolution,[],[f3690,f926]) ).
fof(f10886,plain,
( spl31_781
| ~ spl31_94
| ~ spl31_378 ),
inference(avatar_split_clause,[],[f3468,f3448,f978,f10884]) ).
fof(f10884,plain,
( spl31_781
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ r1_filter_2(k2_zfmisc_1(X2,X3),X0,X1)
| v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_781])]) ).
fof(f3468,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ r1_filter_2(k2_zfmisc_1(X2,X3),X0,X1)
| v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3)
| ~ r1_tarski(X0,k2_zfmisc_1(X2,X3)) )
| ~ spl31_94
| ~ spl31_378 ),
inference(resolution,[],[f3449,f979]) ).
fof(f10882,plain,
( spl31_780
| ~ spl31_127
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f2994,f2951,f1165,f10880]) ).
fof(f10880,plain,
( spl31_780
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ r1_filter_2(k2_zfmisc_1(X2,X3),X0,X1)
| v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_780])]) ).
fof(f2994,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ r1_filter_2(k2_zfmisc_1(X2,X3),X0,X1)
| v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ r1_tarski(X1,k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X0,X2,X3) )
| ~ spl31_127
| ~ spl31_342 ),
inference(resolution,[],[f2952,f1166]) ).
fof(f10875,plain,
( spl31_779
| ~ spl31_156
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2778,f2691,f1386,f10873]) ).
fof(f10873,plain,
( spl31_779
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| r1_filter_2(u1_struct_0(X0),sK22,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_779])]) ).
fof(f2778,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| r1_filter_2(u1_struct_0(X0),sK22,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156
| ~ spl31_322 ),
inference(resolution,[],[f2692,f1387]) ).
fof(f10871,plain,
( spl31_778
| ~ spl31_157
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2777,f2691,f1390,f10869]) ).
fof(f10869,plain,
( spl31_778
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| r1_filter_2(u1_struct_0(X0),sK22,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_778])]) ).
fof(f2777,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| r1_filter_2(u1_struct_0(X0),sK22,X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157
| ~ spl31_322 ),
inference(resolution,[],[f2692,f1391]) ).
fof(f10867,plain,
( spl31_777
| ~ spl31_175
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2769,f2687,f1558,f10865]) ).
fof(f10865,plain,
( spl31_777
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_777])]) ).
fof(f2769,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_321 ),
inference(duplicate_literal_removal,[],[f2762]) ).
fof(f2762,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_321 ),
inference(resolution,[],[f2688,f1559]) ).
fof(f10863,plain,
( spl31_776
| ~ spl31_177
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2768,f2687,f1566,f10861]) ).
fof(f10861,plain,
( spl31_776
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_776])]) ).
fof(f2768,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_321 ),
inference(duplicate_literal_removal,[],[f2763]) ).
fof(f2763,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_321 ),
inference(resolution,[],[f2688,f1567]) ).
fof(f10859,plain,
( spl31_775
| ~ spl31_175
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2750,f2683,f1558,f10857]) ).
fof(f10857,plain,
( spl31_775
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_775])]) ).
fof(f2750,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_320 ),
inference(duplicate_literal_removal,[],[f2743]) ).
fof(f2743,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_320 ),
inference(resolution,[],[f2684,f1559]) ).
fof(f10855,plain,
( spl31_774
| ~ spl31_177
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2749,f2683,f1566,f10853]) ).
fof(f10853,plain,
( spl31_774
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_774])]) ).
fof(f2749,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_320 ),
inference(duplicate_literal_removal,[],[f2744]) ).
fof(f2744,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_320 ),
inference(resolution,[],[f2684,f1567]) ).
fof(f10851,plain,
( spl31_773
| ~ spl31_175
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2731,f2679,f1558,f10849]) ).
fof(f10849,plain,
( spl31_773
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_773])]) ).
fof(f2731,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_175
| ~ spl31_319 ),
inference(duplicate_literal_removal,[],[f2724]) ).
fof(f2724,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK15(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_175
| ~ spl31_319 ),
inference(resolution,[],[f2680,f1559]) ).
fof(f10847,plain,
( spl31_772
| ~ spl31_177
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2730,f2679,f1566,f10845]) ).
fof(f10845,plain,
( spl31_772
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_772])]) ).
fof(f2730,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_177
| ~ spl31_319 ),
inference(duplicate_literal_removal,[],[f2725]) ).
fof(f2725,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK16(X1,X0,X2)))
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_177
| ~ spl31_319 ),
inference(resolution,[],[f2680,f1567]) ).
fof(f10843,plain,
( spl31_771
| ~ spl31_129
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2629,f2572,f1173,f10841]) ).
fof(f10841,plain,
( spl31_771
<=> ! [X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),sK12(k1_zfmisc_1(X0),X1))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_771])]) ).
fof(f2629,plain,
( ! [X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| r1_filter_2(X0,sK12(k1_zfmisc_1(X0),X1),sK12(k1_zfmisc_1(X0),X1))
| v1_xboole_0(X0) )
| ~ spl31_129
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1174]) ).
fof(f10839,plain,
( spl31_770
| ~ spl31_129
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2605,f2564,f1173,f10837]) ).
fof(f10837,plain,
( spl31_770
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| r1_filter_2(X1,sK12(X0,k1_zfmisc_1(X1)),sK12(X0,k1_zfmisc_1(X1)))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_770])]) ).
fof(f2605,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| r1_filter_2(X1,sK12(X0,k1_zfmisc_1(X1)),sK12(X0,k1_zfmisc_1(X1)))
| v1_xboole_0(X1) )
| ~ spl31_129
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1174]) ).
fof(f10802,plain,
( spl31_769
| ~ spl31_258
| ~ spl31_768 ),
inference(avatar_split_clause,[],[f10798,f10794,f2149,f10800]) ).
fof(f10800,plain,
( spl31_769
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| m1_subset_1(sK16(X0,sK25,X1),k1_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_769])]) ).
fof(f10794,plain,
( spl31_768
<=> ! [X0,X1] :
( m1_subset_1(sK16(X0,sK25,X1),k17_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_768])]) ).
fof(f10798,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| m1_subset_1(sK16(X0,sK25,X1),k1_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1)) )
| ~ spl31_258
| ~ spl31_768 ),
inference(forward_demodulation,[],[f10797,f2151]) ).
fof(f10797,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK25,X1),k1_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1)) )
| ~ spl31_258
| ~ spl31_768 ),
inference(forward_demodulation,[],[f10795,f2151]) ).
fof(f10795,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK25,X1),k17_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1)) )
| ~ spl31_768 ),
inference(avatar_component_clause,[],[f10794]) ).
fof(f10796,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_768
| ~ spl31_177
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2117,f2096,f1566,f10794,f607,f652,f612]) ).
fof(f2117,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK25,X1),k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_2(sK25,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_177
| ~ spl31_255 ),
inference(superposition,[],[f1567,f2098]) ).
fof(f10781,plain,
( spl31_767
| ~ spl31_258
| ~ spl31_766 ),
inference(avatar_split_clause,[],[f10777,f10773,f2149,f10779]) ).
fof(f10779,plain,
( spl31_767
<=> ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| m1_subset_1(sK15(X0,sK25,X1),k1_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_767])]) ).
fof(f10773,plain,
( spl31_766
<=> ! [X0,X1] :
( m1_subset_1(sK15(X0,sK25,X1),k17_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_766])]) ).
fof(f10777,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK25))
| m1_subset_1(sK15(X0,sK25,X1),k1_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1)) )
| ~ spl31_258
| ~ spl31_766 ),
inference(forward_demodulation,[],[f10776,f2151]) ).
fof(f10776,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK25,X1),k1_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1)) )
| ~ spl31_258
| ~ spl31_766 ),
inference(forward_demodulation,[],[f10774,f2151]) ).
fof(f10774,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK25,X1),k17_filter_2(sK25))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1)) )
| ~ spl31_766 ),
inference(avatar_component_clause,[],[f10773]) ).
fof(f10775,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_766
| ~ spl31_175
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2116,f2096,f1558,f10773,f607,f652,f612]) ).
fof(f2116,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK25,X1),k17_filter_2(sK25))
| ~ r2_hidden(X0,a_2_0_filter_0(sK25,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_175
| ~ spl31_255 ),
inference(superposition,[],[f1559,f2098]) ).
fof(f10718,plain,
( spl31_765
| ~ spl31_358
| ~ spl31_446
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f5440,f5080,f4489,f3129,f10715]) ).
fof(f10715,plain,
( spl31_765
<=> k5_lattices(sK2) = k5_filter_2(k1_lattice2(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_765])]) ).
fof(f10211,plain,
( spl31_764
| ~ spl31_127
| ~ spl31_378 ),
inference(avatar_split_clause,[],[f3467,f3448,f1165,f10209]) ).
fof(f10209,plain,
( spl31_764
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ r1_filter_2(k2_zfmisc_1(X2,X3),X0,X1)
| v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3)
| ~ m2_relset_1(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_764])]) ).
fof(f3467,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ r1_filter_2(k2_zfmisc_1(X2,X3),X0,X1)
| v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ m2_relset_1(X1,X2,X3)
| ~ m2_relset_1(X0,X2,X3) )
| ~ spl31_127
| ~ spl31_378 ),
inference(resolution,[],[f3449,f1166]) ).
fof(f10207,plain,
( spl31_763
| ~ spl31_86
| ~ spl31_373 ),
inference(avatar_split_clause,[],[f3399,f3395,f946,f10205]) ).
fof(f3399,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(u1_struct_0(k1_lattice2(X0)),k5_filter_2(X0,X1)) )
| ~ spl31_86
| ~ spl31_373 ),
inference(resolution,[],[f3396,f947]) ).
fof(f10203,plain,
( spl31_762
| ~ spl31_117
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f2998,f2951,f1124,f10201]) ).
fof(f10201,plain,
( spl31_762
<=> ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_762])]) ).
fof(f2998,plain,
( ! [X0,X1] :
( sK4(X0) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_342 ),
inference(resolution,[],[f2952,f1125]) ).
fof(f10199,plain,
( spl31_761
| ~ spl31_315
| ~ spl31_447
| ~ spl31_497 ),
inference(avatar_split_clause,[],[f5439,f5080,f4500,f2662,f10196]) ).
fof(f10196,plain,
( spl31_761
<=> k6_lattices(sK2) = k5_filter_2(k1_lattice2(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_761])]) ).
fof(f10194,plain,
( spl31_760
| ~ spl31_216
| ~ spl31_332 ),
inference(avatar_split_clause,[],[f2902,f2826,f1873,f10192]) ).
fof(f10192,plain,
( spl31_760
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k6_lattices(k1_lattice2(X0)) = k5_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_760])]) ).
fof(f2902,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k6_lattices(k1_lattice2(X0)) = k5_filter_2(k1_lattice2(X0),k6_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_216
| ~ spl31_332 ),
inference(resolution,[],[f2827,f1874]) ).
fof(f10190,plain,
( spl31_759
| ~ spl31_217
| ~ spl31_331 ),
inference(avatar_split_clause,[],[f2894,f2822,f1877,f10188]) ).
fof(f10188,plain,
( spl31_759
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k5_lattices(k1_lattice2(X0)) = k5_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_759])]) ).
fof(f2894,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| k5_lattices(k1_lattice2(X0)) = k5_filter_2(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_217
| ~ spl31_331 ),
inference(resolution,[],[f2823,f1878]) ).
fof(f10186,plain,
( spl31_758
| ~ spl31_302
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2645,f2572,f2481,f10184]) ).
fof(f10184,plain,
( spl31_758
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK4(X1)),X0)
| sK4(X1) = X0
| m1_subset_1(sK12(X0,sK4(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_758])]) ).
fof(f2645,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK4(X1)),X0)
| sK4(X1) = X0
| m1_subset_1(sK12(X0,sK4(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl31_302
| ~ spl31_309 ),
inference(resolution,[],[f2573,f2482]) ).
fof(f10182,plain,
( spl31_757
| ~ spl31_103
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2626,f2572,f1021,f10180]) ).
fof(f10180,plain,
( spl31_757
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X2)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| v1_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_757])]) ).
fof(f1021,plain,
( spl31_103
<=> ! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_103])]) ).
fof(f2626,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X2)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| v1_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)) )
| ~ spl31_103
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1022]) ).
fof(f1022,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl31_103 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f10178,plain,
( spl31_756
| ~ spl31_302
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2621,f2564,f2481,f10176]) ).
fof(f10176,plain,
( spl31_756
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK4(X0),X1),X1)
| sK4(X0) = X1
| m1_subset_1(sK12(sK4(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_756])]) ).
fof(f2621,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK4(X0),X1),X1)
| sK4(X0) = X1
| m1_subset_1(sK12(sK4(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_302
| ~ spl31_307 ),
inference(resolution,[],[f2565,f2482]) ).
fof(f10174,plain,
( spl31_755
| ~ spl31_103
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2602,f2564,f1021,f10172]) ).
fof(f10172,plain,
( spl31_755
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X0)
| k1_zfmisc_1(k2_zfmisc_1(X1,X2)) = X0
| v1_relat_1(sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_755])]) ).
fof(f2602,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X0)
| k1_zfmisc_1(k2_zfmisc_1(X1,X2)) = X0
| v1_relat_1(sK12(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl31_103
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1022]) ).
fof(f10170,plain,
( spl31_754
| ~ spl31_153
| ~ spl31_302 ),
inference(avatar_split_clause,[],[f2540,f2481,f1358,f10168]) ).
fof(f10168,plain,
( spl31_754
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK4(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(sK4(X0),X1),X1)
| sK4(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_754])]) ).
fof(f2540,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK4(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(sK4(X0),X1),X1)
| sK4(X0) = X1 )
| ~ spl31_153
| ~ spl31_302 ),
inference(resolution,[],[f2482,f1359]) ).
fof(f10166,plain,
( spl31_753
| ~ spl31_153
| ~ spl31_302 ),
inference(avatar_split_clause,[],[f2538,f2481,f1358,f10164]) ).
fof(f10164,plain,
( spl31_753
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK4(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,sK4(X1)),X0)
| sK4(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_753])]) ).
fof(f2538,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK4(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,sK4(X1)),X0)
| sK4(X1) = X0 )
| ~ spl31_153
| ~ spl31_302 ),
inference(resolution,[],[f2482,f1359]) ).
fof(f10075,plain,
( spl31_752
| ~ spl31_83
| ~ spl31_215
| ~ spl31_391 ),
inference(avatar_split_clause,[],[f3665,f3645,f1867,f925,f10073]) ).
fof(f10073,plain,
( spl31_752
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK22,X2)
| r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK22)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_752])]) ).
fof(f3665,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK22,X2)
| r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK22)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_391 ),
inference(forward_demodulation,[],[f3664,f1868]) ).
fof(f3664,plain,
( ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK22)
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK11(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_391 ),
inference(forward_demodulation,[],[f3660,f1868]) ).
fof(f3660,plain,
( ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK11(k2_zfmisc_1(X0,X1)))
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK11(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_83
| ~ spl31_391 ),
inference(resolution,[],[f3646,f926]) ).
fof(f10071,plain,
( spl31_751
| ~ spl31_83
| ~ spl31_215
| ~ spl31_387 ),
inference(avatar_split_clause,[],[f3602,f3540,f1867,f925,f10069]) ).
fof(f10069,plain,
( spl31_751
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_751])]) ).
fof(f3602,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_387 ),
inference(forward_demodulation,[],[f3601,f1868]) ).
fof(f3601,plain,
( ! [X0,X1] :
( sK22 = X1
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_387 ),
inference(forward_demodulation,[],[f3590,f1868]) ).
fof(f3590,plain,
( ! [X0,X1] :
( sK11(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_387 ),
inference(resolution,[],[f3541,f926]) ).
fof(f10067,plain,
( spl31_750
| ~ spl31_83
| ~ spl31_215
| ~ spl31_386 ),
inference(avatar_split_clause,[],[f3574,f3536,f1867,f925,f10065]) ).
fof(f10065,plain,
( spl31_750
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_750])]) ).
fof(f3574,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),sK22,X1)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_386 ),
inference(forward_demodulation,[],[f3573,f1868]) ).
fof(f3573,plain,
( ! [X0,X1] :
( sK22 = X1
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_386 ),
inference(forward_demodulation,[],[f3562,f1868]) ).
fof(f3562,plain,
( ! [X0,X1] :
( sK11(u1_struct_0(X0)) = X1
| ~ r1_filter_2(u1_struct_0(X0),sK11(u1_struct_0(X0)),X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_83
| ~ spl31_386 ),
inference(resolution,[],[f3537,f926]) ).
fof(f10063,plain,
( spl31_749
| ~ spl31_72
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f2958,f2939,f880,f10061]) ).
fof(f2958,plain,
( ! [X0] :
( k1_lattice2(k1_lattice2(k1_lattice2(X0))) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(X0))),u1_lattices(k1_lattice2(k1_lattice2(X0))),u2_lattices(k1_lattice2(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_339 ),
inference(resolution,[],[f2940,f881]) ).
fof(f10059,plain,
( spl31_748
| ~ spl31_72
| ~ spl31_330 ),
inference(avatar_split_clause,[],[f2881,f2818,f880,f10057]) ).
fof(f2881,plain,
( ! [X0] :
( sK10(u1_struct_0(k1_lattice2(X0))) = k5_filter_2(k1_lattice2(X0),sK10(u1_struct_0(k1_lattice2(X0))))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_330 ),
inference(resolution,[],[f2819,f881]) ).
fof(f10055,plain,
( spl31_747
| ~ spl31_127
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2776,f2691,f1165,f10053]) ).
fof(f10053,plain,
( spl31_747
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK22)
| r1_filter_2(k2_zfmisc_1(X0,X1),sK22,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_747])]) ).
fof(f2776,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK22)
| r1_filter_2(k2_zfmisc_1(X0,X1),sK22,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_127
| ~ spl31_322 ),
inference(resolution,[],[f2692,f1166]) ).
fof(f10051,plain,
( spl31_746
| ~ spl31_156
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2653,f2598,f1386,f10049]) ).
fof(f10049,plain,
( spl31_746
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_746])]) ).
fof(f2653,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156
| ~ spl31_314 ),
inference(resolution,[],[f2599,f1387]) ).
fof(f10047,plain,
( spl31_745
| ~ spl31_157
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2652,f2598,f1390,f10045]) ).
fof(f10045,plain,
( spl31_745
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_745])]) ).
fof(f2652,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK22)
| sK22 = X1
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157
| ~ spl31_314 ),
inference(resolution,[],[f2599,f1391]) ).
fof(f10008,plain,
( spl31_744
| ~ spl31_258
| ~ spl31_743 ),
inference(avatar_split_clause,[],[f10004,f10001,f2149,f10006]) ).
fof(f10006,plain,
( spl31_744
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_2(sK25,X0) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_744])]) ).
fof(f10001,plain,
( spl31_743
<=> ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_2(sK25,X0) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_743])]) ).
fof(f10004,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_2(sK25,X0) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) )
| ~ spl31_258
| ~ spl31_743 ),
inference(forward_demodulation,[],[f10002,f2151]) ).
fof(f10002,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_2(sK25,X0) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) )
| ~ spl31_743 ),
inference(avatar_component_clause,[],[f10001]) ).
fof(f10003,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_743
| ~ spl31_171
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2115,f2096,f1526,f10001,f607,f652,f612]) ).
fof(f2115,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_2(sK25,X0) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_171
| ~ spl31_255 ),
inference(superposition,[],[f1527,f2098]) ).
fof(f9967,plain,
( spl31_742
| ~ spl31_258
| ~ spl31_741 ),
inference(avatar_split_clause,[],[f9963,f9960,f2149,f9965]) ).
fof(f9965,plain,
( spl31_742
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k18_filter_2(sK25,X0) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_742])]) ).
fof(f9960,plain,
( spl31_741
<=> ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k18_filter_2(sK25,X0) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_741])]) ).
fof(f9963,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k18_filter_2(sK25,X0) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) )
| ~ spl31_258
| ~ spl31_741 ),
inference(forward_demodulation,[],[f9961,f2151]) ).
fof(f9961,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k18_filter_2(sK25,X0) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0)) )
| ~ spl31_741 ),
inference(avatar_component_clause,[],[f9960]) ).
fof(f9962,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_741
| ~ spl31_170
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2114,f2096,f1522,f9960,f607,f652,f612]) ).
fof(f2114,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k18_filter_2(sK25,X0) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,X0))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_170
| ~ spl31_255 ),
inference(superposition,[],[f1523,f2098]) ).
fof(f9384,plain,
( spl31_740
| ~ spl31_333
| ~ spl31_341 ),
inference(avatar_split_clause,[],[f2991,f2947,f2830,f9382]) ).
fof(f9382,plain,
( spl31_740
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k18_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_740])]) ).
fof(f2947,plain,
( spl31_341
<=> ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_341])]) ).
fof(f2991,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k18_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_333
| ~ spl31_341 ),
inference(duplicate_literal_removal,[],[f2978]) ).
fof(f2978,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k18_filter_2(X0,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_333
| ~ spl31_341 ),
inference(resolution,[],[f2948,f2831]) ).
fof(f2948,plain,
( ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_341 ),
inference(avatar_component_clause,[],[f2947]) ).
fof(f9380,plain,
( spl31_739
| ~ spl31_161
| ~ spl31_340 ),
inference(avatar_split_clause,[],[f2975,f2943,f1416,f9378]) ).
fof(f9378,plain,
( spl31_739
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_739])]) ).
fof(f1416,plain,
( spl31_161
<=> ! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_161])]) ).
fof(f2943,plain,
( spl31_340
<=> ! [X2,X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_340])]) ).
fof(f2975,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_161
| ~ spl31_340 ),
inference(duplicate_literal_removal,[],[f2966]) ).
fof(f2966,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_161
| ~ spl31_340 ),
inference(resolution,[],[f2944,f1417]) ).
fof(f1417,plain,
( ! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_161 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f2944,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_340 ),
inference(avatar_component_clause,[],[f2943]) ).
fof(f9376,plain,
( spl31_738
| ~ spl31_335
| ~ spl31_340 ),
inference(avatar_split_clause,[],[f2973,f2943,f2838,f9374]) ).
fof(f2973,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_335
| ~ spl31_340 ),
inference(duplicate_literal_removal,[],[f2968]) ).
fof(f2968,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_2(X0,X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_335
| ~ spl31_340 ),
inference(resolution,[],[f2944,f2839]) ).
fof(f9372,plain,
( spl31_737
| ~ spl31_117
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2780,f2691,f1124,f9370]) ).
fof(f9370,plain,
( spl31_737
<=> ! [X0] :
( ~ r1_filter_2(u1_struct_0(X0),sK4(X0),sK22)
| r1_filter_2(u1_struct_0(X0),sK22,sK4(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_737])]) ).
fof(f2780,plain,
( ! [X0] :
( ~ r1_filter_2(u1_struct_0(X0),sK4(X0),sK22)
| r1_filter_2(u1_struct_0(X0),sK22,sK4(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_322 ),
inference(resolution,[],[f2692,f1125]) ).
fof(f9368,plain,
( spl31_736
| ~ spl31_246
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2646,f2572,f2051,f9366]) ).
fof(f2646,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0
| m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1) )
| ~ spl31_246
| ~ spl31_309 ),
inference(resolution,[],[f2573,f2052]) ).
fof(f9364,plain,
( spl31_735
| ~ spl31_128
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2630,f2572,f1169,f9362]) ).
fof(f9362,plain,
( spl31_735
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| m1_subset_1(X2,X0)
| ~ r2_hidden(X2,sK12(k1_zfmisc_1(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_735])]) ).
fof(f2630,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| m1_subset_1(X2,X0)
| ~ r2_hidden(X2,sK12(k1_zfmisc_1(X0),X1)) )
| ~ spl31_128
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1170]) ).
fof(f9360,plain,
( spl31_734
| ~ spl31_246
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2622,f2564,f2051,f9358]) ).
fof(f2622,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0) )
| ~ spl31_246
| ~ spl31_307 ),
inference(resolution,[],[f2565,f2052]) ).
fof(f9356,plain,
( spl31_733
| ~ spl31_128
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2606,f2564,f1169,f9354]) ).
fof(f9354,plain,
( spl31_733
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,sK12(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_733])]) ).
fof(f2606,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,sK12(X0,k1_zfmisc_1(X1))) )
| ~ spl31_128
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1170]) ).
fof(f9352,plain,
( spl31_732
| ~ spl31_154
| ~ spl31_269 ),
inference(avatar_split_clause,[],[f2300,f2212,f1362,f9350]) ).
fof(f9350,plain,
( spl31_732
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(sK12(X1,k1_zfmisc_1(X0)),X0)
| k1_zfmisc_1(X0) = X1
| ~ r2_hidden(sK12(X1,k1_zfmisc_1(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_732])]) ).
fof(f2300,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(sK12(X1,k1_zfmisc_1(X0)),X0)
| k1_zfmisc_1(X0) = X1
| ~ r2_hidden(sK12(X1,k1_zfmisc_1(X0)),X1) )
| ~ spl31_154
| ~ spl31_269 ),
inference(resolution,[],[f2213,f1363]) ).
fof(f9348,plain,
( spl31_731
| ~ spl31_153
| ~ spl31_246 ),
inference(avatar_split_clause,[],[f2061,f2051,f1358,f9346]) ).
fof(f2061,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0)
| r2_hidden(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1 )
| ~ spl31_153
| ~ spl31_246 ),
inference(resolution,[],[f2052,f1359]) ).
fof(f9344,plain,
( spl31_730
| ~ spl31_153
| ~ spl31_246 ),
inference(avatar_split_clause,[],[f2060,f2051,f1358,f9342]) ).
fof(f2060,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1)
| r2_hidden(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0 )
| ~ spl31_153
| ~ spl31_246 ),
inference(resolution,[],[f2052,f1359]) ).
fof(f8727,plain,
( spl31_729
| ~ spl31_609
| ~ spl31_673
| ~ spl31_728 ),
inference(avatar_split_clause,[],[f8722,f8717,f8152,f6508,f8724]) ).
fof(f8724,plain,
( spl31_729
<=> k2_filter_0(sK25,k6_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k6_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_729])]) ).
fof(f6508,plain,
( spl31_609
<=> k6_lattices(sK25) = k5_filter_2(sK25,k6_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_609])]) ).
fof(f8152,plain,
( spl31_673
<=> k2_filter_0(sK25,k6_lattices(sK25)) = k2_filter_2(sK25,k6_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_673])]) ).
fof(f8717,plain,
( spl31_728
<=> k2_filter_2(sK25,k6_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k6_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_728])]) ).
fof(f8722,plain,
( k2_filter_0(sK25,k6_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k6_lattices(sK25))
| ~ spl31_609
| ~ spl31_673
| ~ spl31_728 ),
inference(forward_demodulation,[],[f8721,f8154]) ).
fof(f8154,plain,
( k2_filter_0(sK25,k6_lattices(sK25)) = k2_filter_2(sK25,k6_lattices(sK25))
| ~ spl31_673 ),
inference(avatar_component_clause,[],[f8152]) ).
fof(f8721,plain,
( k2_filter_2(sK25,k6_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k6_lattices(sK25))
| ~ spl31_609
| ~ spl31_728 ),
inference(forward_demodulation,[],[f8719,f6510]) ).
fof(f6510,plain,
( k6_lattices(sK25) = k5_filter_2(sK25,k6_lattices(sK25))
| ~ spl31_609 ),
inference(avatar_component_clause,[],[f6508]) ).
fof(f8719,plain,
( k2_filter_2(sK25,k6_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k6_lattices(sK25)))
| ~ spl31_728 ),
inference(avatar_component_clause,[],[f8717]) ).
fof(f8720,plain,
( spl31_728
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_197
| ~ spl31_372 ),
inference(avatar_split_clause,[],[f3391,f3330,f1709,f607,f652,f612,f8717]) ).
fof(f3391,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_2(sK25,k6_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k6_lattices(sK25)))
| ~ spl31_197
| ~ spl31_372 ),
inference(resolution,[],[f3331,f1711]) ).
fof(f1711,plain,
( l2_lattices(sK25)
| ~ spl31_197 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f8713,plain,
( spl31_727
| ~ spl31_63
| ~ spl31_676 ),
inference(avatar_split_clause,[],[f8262,f8183,f824,f8710]) ).
fof(f824,plain,
( spl31_63
<=> ! [X0] :
( v9_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_63])]) ).
fof(f8183,plain,
( spl31_676
<=> sP0(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_676])]) ).
fof(f8262,plain,
( v9_lattices(k1_lattice2(sK2))
| ~ spl31_63
| ~ spl31_676 ),
inference(resolution,[],[f8185,f825]) ).
fof(f825,plain,
( ! [X0] :
( ~ sP0(X0)
| v9_lattices(X0) )
| ~ spl31_63 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f8185,plain,
( sP0(k1_lattice2(sK2))
| ~ spl31_676 ),
inference(avatar_component_clause,[],[f8183]) ).
fof(f8708,plain,
( spl31_726
| ~ spl31_604
| ~ spl31_672
| ~ spl31_725 ),
inference(avatar_split_clause,[],[f8703,f8698,f8143,f6480,f8705]) ).
fof(f8705,plain,
( spl31_726
<=> k2_filter_0(sK25,k5_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_726])]) ).
fof(f6480,plain,
( spl31_604
<=> k5_lattices(sK25) = k5_filter_2(sK25,k5_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_604])]) ).
fof(f8143,plain,
( spl31_672
<=> k2_filter_0(sK25,k5_lattices(sK25)) = k2_filter_2(sK25,k5_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_672])]) ).
fof(f8698,plain,
( spl31_725
<=> k2_filter_2(sK25,k5_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k5_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_725])]) ).
fof(f8703,plain,
( k2_filter_0(sK25,k5_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_lattices(sK25))
| ~ spl31_604
| ~ spl31_672
| ~ spl31_725 ),
inference(forward_demodulation,[],[f8702,f8145]) ).
fof(f8145,plain,
( k2_filter_0(sK25,k5_lattices(sK25)) = k2_filter_2(sK25,k5_lattices(sK25))
| ~ spl31_672 ),
inference(avatar_component_clause,[],[f8143]) ).
fof(f8702,plain,
( k2_filter_2(sK25,k5_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_lattices(sK25))
| ~ spl31_604
| ~ spl31_725 ),
inference(forward_demodulation,[],[f8700,f6482]) ).
fof(f6482,plain,
( k5_lattices(sK25) = k5_filter_2(sK25,k5_lattices(sK25))
| ~ spl31_604 ),
inference(avatar_component_clause,[],[f6480]) ).
fof(f8700,plain,
( k2_filter_2(sK25,k5_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k5_lattices(sK25)))
| ~ spl31_725 ),
inference(avatar_component_clause,[],[f8698]) ).
fof(f8701,plain,
( spl31_725
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_192
| ~ spl31_371 ),
inference(avatar_split_clause,[],[f3383,f3326,f1684,f607,f652,f612,f8698]) ).
fof(f3383,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_2(sK25,k5_lattices(sK25)) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k5_lattices(sK25)))
| ~ spl31_192
| ~ spl31_371 ),
inference(resolution,[],[f3327,f1686]) ).
fof(f1686,plain,
( l1_lattices(sK25)
| ~ spl31_192 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f8694,plain,
( spl31_724
| ~ spl31_599
| ~ spl31_671
| ~ spl31_723 ),
inference(avatar_split_clause,[],[f8689,f8684,f8135,f6456,f8691]) ).
fof(f8691,plain,
( spl31_724
<=> k2_filter_0(sK26,sK10(k1_filter_2(sK26))) = k18_filter_2(k1_lattice2(sK26),sK10(k1_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_724])]) ).
fof(f6456,plain,
( spl31_599
<=> sK10(k1_filter_2(sK26)) = k5_filter_2(sK26,sK10(k1_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_599])]) ).
fof(f8684,plain,
( spl31_723
<=> k2_filter_2(sK26,sK10(k1_filter_2(sK26))) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k1_filter_2(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_723])]) ).
fof(f8689,plain,
( k2_filter_0(sK26,sK10(k1_filter_2(sK26))) = k18_filter_2(k1_lattice2(sK26),sK10(k1_filter_2(sK26)))
| ~ spl31_599
| ~ spl31_671
| ~ spl31_723 ),
inference(forward_demodulation,[],[f8688,f8137]) ).
fof(f8688,plain,
( k2_filter_2(sK26,sK10(k1_filter_2(sK26))) = k18_filter_2(k1_lattice2(sK26),sK10(k1_filter_2(sK26)))
| ~ spl31_599
| ~ spl31_723 ),
inference(forward_demodulation,[],[f8686,f6458]) ).
fof(f6458,plain,
( sK10(k1_filter_2(sK26)) = k5_filter_2(sK26,sK10(k1_filter_2(sK26)))
| ~ spl31_599 ),
inference(avatar_component_clause,[],[f6456]) ).
fof(f8686,plain,
( k2_filter_2(sK26,sK10(k1_filter_2(sK26))) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k1_filter_2(sK26))))
| ~ spl31_723 ),
inference(avatar_component_clause,[],[f8684]) ).
fof(f8687,plain,
( spl31_28
| ~ spl31_36
| spl31_723
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_370 ),
inference(avatar_split_clause,[],[f3377,f3322,f2167,f2119,f657,f8684,f702,f662]) ).
fof(f3377,plain,
( k2_filter_2(sK26,sK10(k1_filter_2(sK26))) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k1_filter_2(sK26))))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_370 ),
inference(forward_demodulation,[],[f3376,f2169]) ).
fof(f3376,plain,
( k2_filter_2(sK26,sK10(k17_filter_2(sK26))) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k17_filter_2(sK26))))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_370 ),
inference(forward_demodulation,[],[f3370,f2121]) ).
fof(f3370,plain,
( k2_filter_2(sK26,sK10(u1_struct_0(sK26))) = k18_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(u1_struct_0(sK26))))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_370 ),
inference(resolution,[],[f3323,f659]) ).
fof(f659,plain,
( l3_lattices(sK26)
| ~ spl31_27 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f8680,plain,
( spl31_722
| ~ spl31_598
| ~ spl31_670
| ~ spl31_721 ),
inference(avatar_split_clause,[],[f8675,f8670,f8127,f6445,f8677]) ).
fof(f8677,plain,
( spl31_722
<=> k2_filter_0(sK25,sK10(k1_filter_2(sK25))) = k18_filter_2(k1_lattice2(sK25),sK10(k1_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_722])]) ).
fof(f6445,plain,
( spl31_598
<=> sK10(k1_filter_2(sK25)) = k5_filter_2(sK25,sK10(k1_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_598])]) ).
fof(f8127,plain,
( spl31_670
<=> k2_filter_0(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(sK25,sK10(k1_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_670])]) ).
fof(f8670,plain,
( spl31_721
<=> k2_filter_2(sK25,sK10(k1_filter_2(sK25))) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k1_filter_2(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_721])]) ).
fof(f8675,plain,
( k2_filter_0(sK25,sK10(k1_filter_2(sK25))) = k18_filter_2(k1_lattice2(sK25),sK10(k1_filter_2(sK25)))
| ~ spl31_598
| ~ spl31_670
| ~ spl31_721 ),
inference(forward_demodulation,[],[f8674,f8129]) ).
fof(f8129,plain,
( k2_filter_0(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(sK25,sK10(k1_filter_2(sK25)))
| ~ spl31_670 ),
inference(avatar_component_clause,[],[f8127]) ).
fof(f8674,plain,
( k2_filter_2(sK25,sK10(k1_filter_2(sK25))) = k18_filter_2(k1_lattice2(sK25),sK10(k1_filter_2(sK25)))
| ~ spl31_598
| ~ spl31_721 ),
inference(forward_demodulation,[],[f8672,f6447]) ).
fof(f6447,plain,
( sK10(k1_filter_2(sK25)) = k5_filter_2(sK25,sK10(k1_filter_2(sK25)))
| ~ spl31_598 ),
inference(avatar_component_clause,[],[f6445]) ).
fof(f8672,plain,
( k2_filter_2(sK25,sK10(k1_filter_2(sK25))) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k1_filter_2(sK25))))
| ~ spl31_721 ),
inference(avatar_component_clause,[],[f8670]) ).
fof(f8673,plain,
( spl31_18
| ~ spl31_26
| spl31_721
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_370 ),
inference(avatar_split_clause,[],[f3375,f3322,f2149,f2096,f607,f8670,f652,f612]) ).
fof(f3375,plain,
( k2_filter_2(sK25,sK10(k1_filter_2(sK25))) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k1_filter_2(sK25))))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_370 ),
inference(forward_demodulation,[],[f3374,f2151]) ).
fof(f3374,plain,
( k2_filter_2(sK25,sK10(k17_filter_2(sK25))) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k17_filter_2(sK25))))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_370 ),
inference(forward_demodulation,[],[f3369,f2098]) ).
fof(f3369,plain,
( k2_filter_2(sK25,sK10(u1_struct_0(sK25))) = k18_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(u1_struct_0(sK25))))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_370 ),
inference(resolution,[],[f3323,f609]) ).
fof(f609,plain,
( l3_lattices(sK25)
| ~ spl31_17 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f8665,plain,
( spl31_720
| ~ spl31_609
| ~ spl31_718 ),
inference(avatar_split_clause,[],[f8655,f8651,f6508,f8662]) ).
fof(f8662,plain,
( spl31_720
<=> k18_filter_2(sK25,k6_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k6_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_720])]) ).
fof(f8651,plain,
( spl31_718
<=> k18_filter_2(sK25,k6_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k6_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_718])]) ).
fof(f8655,plain,
( k18_filter_2(sK25,k6_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k6_lattices(sK25))
| ~ spl31_609
| ~ spl31_718 ),
inference(forward_demodulation,[],[f8653,f6510]) ).
fof(f8653,plain,
( k18_filter_2(sK25,k6_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k6_lattices(sK25)))
| ~ spl31_718 ),
inference(avatar_component_clause,[],[f8651]) ).
fof(f8660,plain,
( spl31_719
| ~ spl31_62
| ~ spl31_676 ),
inference(avatar_split_clause,[],[f8261,f8183,f820,f8657]) ).
fof(f820,plain,
( spl31_62
<=> ! [X0] :
( v8_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_62])]) ).
fof(f8261,plain,
( v8_lattices(k1_lattice2(sK2))
| ~ spl31_62
| ~ spl31_676 ),
inference(resolution,[],[f8185,f821]) ).
fof(f821,plain,
( ! [X0] :
( ~ sP0(X0)
| v8_lattices(X0) )
| ~ spl31_62 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f8654,plain,
( spl31_718
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_197
| ~ spl31_369 ),
inference(avatar_split_clause,[],[f3362,f3318,f1709,f607,f652,f612,f8651]) ).
fof(f3362,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k18_filter_2(sK25,k6_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k6_lattices(sK25)))
| ~ spl31_197
| ~ spl31_369 ),
inference(resolution,[],[f3319,f1711]) ).
fof(f8646,plain,
( spl31_717
| ~ spl31_604
| ~ spl31_716 ),
inference(avatar_split_clause,[],[f8641,f8637,f6480,f8643]) ).
fof(f8643,plain,
( spl31_717
<=> k18_filter_2(sK25,k5_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_717])]) ).
fof(f8637,plain,
( spl31_716
<=> k18_filter_2(sK25,k5_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k5_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_716])]) ).
fof(f8641,plain,
( k18_filter_2(sK25,k5_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_lattices(sK25))
| ~ spl31_604
| ~ spl31_716 ),
inference(forward_demodulation,[],[f8639,f6482]) ).
fof(f8639,plain,
( k18_filter_2(sK25,k5_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k5_lattices(sK25)))
| ~ spl31_716 ),
inference(avatar_component_clause,[],[f8637]) ).
fof(f8640,plain,
( spl31_716
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_192
| ~ spl31_368 ),
inference(avatar_split_clause,[],[f3351,f3314,f1684,f607,f652,f612,f8637]) ).
fof(f3351,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k18_filter_2(sK25,k5_lattices(sK25)) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,k5_lattices(sK25)))
| ~ spl31_192
| ~ spl31_368 ),
inference(resolution,[],[f3315,f1686]) ).
fof(f8632,plain,
( spl31_715
| ~ spl31_599
| ~ spl31_714 ),
inference(avatar_split_clause,[],[f8627,f8623,f6456,f8629]) ).
fof(f8629,plain,
( spl31_715
<=> k18_filter_2(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(k1_lattice2(sK26),sK10(k1_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_715])]) ).
fof(f8623,plain,
( spl31_714
<=> k18_filter_2(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k1_filter_2(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_714])]) ).
fof(f8627,plain,
( k18_filter_2(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(k1_lattice2(sK26),sK10(k1_filter_2(sK26)))
| ~ spl31_599
| ~ spl31_714 ),
inference(forward_demodulation,[],[f8625,f6458]) ).
fof(f8625,plain,
( k18_filter_2(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k1_filter_2(sK26))))
| ~ spl31_714 ),
inference(avatar_component_clause,[],[f8623]) ).
fof(f8626,plain,
( spl31_28
| ~ spl31_36
| spl31_714
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_367 ),
inference(avatar_split_clause,[],[f3345,f3310,f2167,f2119,f657,f8623,f702,f662]) ).
fof(f3345,plain,
( k18_filter_2(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k1_filter_2(sK26))))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_367 ),
inference(forward_demodulation,[],[f3344,f2169]) ).
fof(f3344,plain,
( k18_filter_2(sK26,sK10(k17_filter_2(sK26))) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(k17_filter_2(sK26))))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_367 ),
inference(forward_demodulation,[],[f3338,f2121]) ).
fof(f3338,plain,
( k18_filter_2(sK26,sK10(u1_struct_0(sK26))) = k2_filter_2(k1_lattice2(sK26),k5_filter_2(sK26,sK10(u1_struct_0(sK26))))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_367 ),
inference(resolution,[],[f3311,f659]) ).
fof(f8618,plain,
( spl31_713
| ~ spl31_598
| ~ spl31_712 ),
inference(avatar_split_clause,[],[f8613,f8609,f6445,f8615]) ).
fof(f8615,plain,
( spl31_713
<=> k18_filter_2(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(k1_lattice2(sK25),sK10(k1_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_713])]) ).
fof(f8609,plain,
( spl31_712
<=> k18_filter_2(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k1_filter_2(sK25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_712])]) ).
fof(f8613,plain,
( k18_filter_2(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(k1_lattice2(sK25),sK10(k1_filter_2(sK25)))
| ~ spl31_598
| ~ spl31_712 ),
inference(forward_demodulation,[],[f8611,f6447]) ).
fof(f8611,plain,
( k18_filter_2(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k1_filter_2(sK25))))
| ~ spl31_712 ),
inference(avatar_component_clause,[],[f8609]) ).
fof(f8612,plain,
( spl31_18
| ~ spl31_26
| spl31_712
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_367 ),
inference(avatar_split_clause,[],[f3343,f3310,f2149,f2096,f607,f8609,f652,f612]) ).
fof(f3343,plain,
( k18_filter_2(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k1_filter_2(sK25))))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_367 ),
inference(forward_demodulation,[],[f3342,f2151]) ).
fof(f3342,plain,
( k18_filter_2(sK25,sK10(k17_filter_2(sK25))) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(k17_filter_2(sK25))))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_367 ),
inference(forward_demodulation,[],[f3337,f2098]) ).
fof(f3337,plain,
( k18_filter_2(sK25,sK10(u1_struct_0(sK25))) = k2_filter_2(k1_lattice2(sK25),k5_filter_2(sK25,sK10(u1_struct_0(sK25))))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_367 ),
inference(resolution,[],[f3311,f609]) ).
fof(f8607,plain,
( spl31_711
| ~ spl31_61
| ~ spl31_676 ),
inference(avatar_split_clause,[],[f8260,f8183,f816,f8604]) ).
fof(f8604,plain,
( spl31_711
<=> v7_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_711])]) ).
fof(f816,plain,
( spl31_61
<=> ! [X0] :
( v7_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_61])]) ).
fof(f8260,plain,
( v7_lattices(k1_lattice2(sK2))
| ~ spl31_61
| ~ spl31_676 ),
inference(resolution,[],[f8185,f817]) ).
fof(f817,plain,
( ! [X0] :
( ~ sP0(X0)
| v7_lattices(X0) )
| ~ spl31_61 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f8585,plain,
( spl31_18
| ~ spl31_22
| ~ spl31_24
| ~ spl31_25
| ~ spl31_17
| spl31_710
| ~ spl31_255
| ~ spl31_258
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3298,f3237,f2149,f2096,f8583,f607,f647,f642,f632,f612]) ).
fof(f3298,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| r3_lattices(sK25,X0,X0)
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_364 ),
inference(forward_demodulation,[],[f3291,f2151]) ).
fof(f3291,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| r3_lattices(sK25,X0,X0)
| ~ l3_lattices(sK25)
| ~ v9_lattices(sK25)
| ~ v8_lattices(sK25)
| ~ v6_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_255
| ~ spl31_364 ),
inference(superposition,[],[f3238,f2098]) ).
fof(f8581,plain,
( spl31_709
| ~ spl31_108
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3296,f3237,f1073,f8579]) ).
fof(f8579,plain,
( spl31_709
<=> ! [X0] :
( r3_lattices(X0,k6_lattices(X0),k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_709])]) ).
fof(f3296,plain,
( ! [X0] :
( r3_lattices(X0,k6_lattices(X0),k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_364 ),
inference(duplicate_literal_removal,[],[f3281]) ).
fof(f3281,plain,
( ! [X0] :
( r3_lattices(X0,k6_lattices(X0),k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_364 ),
inference(resolution,[],[f3238,f1074]) ).
fof(f8577,plain,
( spl31_708
| ~ spl31_109
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3295,f3237,f1077,f8575]) ).
fof(f8575,plain,
( spl31_708
<=> ! [X0] :
( r3_lattices(X0,k5_lattices(X0),k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_708])]) ).
fof(f3295,plain,
( ! [X0] :
( r3_lattices(X0,k5_lattices(X0),k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_364 ),
inference(duplicate_literal_removal,[],[f3283]) ).
fof(f3283,plain,
( ! [X0] :
( r3_lattices(X0,k5_lattices(X0),k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_364 ),
inference(resolution,[],[f3238,f1078]) ).
fof(f8573,plain,
( spl31_707
| ~ spl31_65
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3284,f3237,f832,f8571]) ).
fof(f8571,plain,
( spl31_707
<=> ! [X0] :
( r3_lattices(X0,sK10(u1_struct_0(X0)),sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_707])]) ).
fof(f3284,plain,
( ! [X0] :
( r3_lattices(X0,sK10(u1_struct_0(X0)),sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_364 ),
inference(resolution,[],[f3238,f833]) ).
fof(f8569,plain,
( spl31_706
| ~ spl31_86
| ~ spl31_362 ),
inference(avatar_split_clause,[],[f3258,f3229,f946,f8567]) ).
fof(f8567,plain,
( spl31_706
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_706])]) ).
fof(f3258,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),X1) )
| ~ spl31_86
| ~ spl31_362 ),
inference(resolution,[],[f3230,f947]) ).
fof(f8565,plain,
( spl31_705
| ~ spl31_86
| ~ spl31_361 ),
inference(avatar_split_clause,[],[f3244,f3225,f946,f8563]) ).
fof(f8563,plain,
( spl31_705
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_705])]) ).
fof(f3244,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),X1) )
| ~ spl31_86
| ~ spl31_361 ),
inference(resolution,[],[f3226,f947]) ).
fof(f8561,plain,
( spl31_704
| ~ spl31_328
| ~ spl31_334 ),
inference(avatar_split_clause,[],[f2913,f2834,f2809,f8559]) ).
fof(f8559,plain,
( spl31_704
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X2,k2_filter_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_704])]) ).
fof(f2809,plain,
( spl31_328
<=> ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_328])]) ).
fof(f2913,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X2,k2_filter_2(X0,X1)) )
| ~ spl31_328
| ~ spl31_334 ),
inference(duplicate_literal_removal,[],[f2912]) ).
fof(f2912,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X2,k2_filter_2(X0,X1)) )
| ~ spl31_328
| ~ spl31_334 ),
inference(resolution,[],[f2835,f2810]) ).
fof(f2810,plain,
( ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_328 ),
inference(avatar_component_clause,[],[f2809]) ).
fof(f8557,plain,
( spl31_703
| ~ spl31_328
| ~ spl31_333 ),
inference(avatar_split_clause,[],[f2911,f2830,f2809,f8555]) ).
fof(f8555,plain,
( spl31_703
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X2,k18_filter_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_703])]) ).
fof(f2911,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X2,k18_filter_2(X0,X1)) )
| ~ spl31_328
| ~ spl31_333 ),
inference(duplicate_literal_removal,[],[f2910]) ).
fof(f2910,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X2,k18_filter_2(X0,X1)) )
| ~ spl31_328
| ~ spl31_333 ),
inference(resolution,[],[f2831,f2810]) ).
fof(f8553,plain,
( spl31_702
| ~ spl31_161
| ~ spl31_327 ),
inference(avatar_split_clause,[],[f2867,f2805,f1416,f8551]) ).
fof(f8551,plain,
( spl31_702
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_702])]) ).
fof(f2805,plain,
( spl31_327
<=> ! [X2,X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_327])]) ).
fof(f2867,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ spl31_161
| ~ spl31_327 ),
inference(duplicate_literal_removal,[],[f2860]) ).
fof(f2860,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k2_filter_0(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_161
| ~ spl31_327 ),
inference(resolution,[],[f2806,f1417]) ).
fof(f2806,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_327 ),
inference(avatar_component_clause,[],[f2805]) ).
fof(f8549,plain,
( spl31_701
| ~ spl31_60
| ~ spl31_676 ),
inference(avatar_split_clause,[],[f8259,f8183,f812,f8546]) ).
fof(f812,plain,
( spl31_60
<=> ! [X0] :
( v6_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_60])]) ).
fof(f8259,plain,
( v6_lattices(k1_lattice2(sK2))
| ~ spl31_60
| ~ spl31_676 ),
inference(resolution,[],[f8185,f813]) ).
fof(f813,plain,
( ! [X0] :
( ~ sP0(X0)
| v6_lattices(X0) )
| ~ spl31_60 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f8544,plain,
( spl31_700
| ~ spl31_250
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2644,f2572,f2071,f8542]) ).
fof(f2644,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK3(X1)),X0)
| sK3(X1) = X0
| m1_subset_1(sK12(X0,sK3(X1)),X1)
| v1_xboole_0(X1) )
| ~ spl31_250
| ~ spl31_309 ),
inference(resolution,[],[f2573,f2072]) ).
fof(f8540,plain,
( spl31_699
| ~ spl31_115
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2631,f2572,f1101,f8538]) ).
fof(f8538,plain,
( spl31_699
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X2,sK12(k1_zfmisc_1(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_699])]) ).
fof(f1101,plain,
( spl31_115
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_115])]) ).
fof(f2631,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X2,sK12(k1_zfmisc_1(X0),X1)) )
| ~ spl31_115
| ~ spl31_309 ),
inference(resolution,[],[f2573,f1102]) ).
fof(f1102,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl31_115 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f8536,plain,
( spl31_698
| ~ spl31_250
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2620,f2564,f2071,f8534]) ).
fof(f2620,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK3(X0),X1),X1)
| sK3(X0) = X1
| m1_subset_1(sK12(sK3(X0),X1),X0)
| v1_xboole_0(X0) )
| ~ spl31_250
| ~ spl31_307 ),
inference(resolution,[],[f2565,f2072]) ).
fof(f8532,plain,
( spl31_697
| ~ spl31_115
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2607,f2564,f1101,f8530]) ).
fof(f8530,plain,
( spl31_697
<=> ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,sK12(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_697])]) ).
fof(f2607,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK12(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,sK12(X0,k1_zfmisc_1(X1))) )
| ~ spl31_115
| ~ spl31_307 ),
inference(resolution,[],[f2565,f1102]) ).
fof(f8528,plain,
( spl31_696
| ~ spl31_153
| ~ spl31_250 ),
inference(avatar_split_clause,[],[f2204,f2071,f1358,f8526]) ).
fof(f2204,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK3(X0),X1),X0)
| v1_xboole_0(X0)
| r2_hidden(sK12(sK3(X0),X1),X1)
| sK3(X0) = X1 )
| ~ spl31_153
| ~ spl31_250 ),
inference(resolution,[],[f2072,f1359]) ).
fof(f8524,plain,
( spl31_695
| ~ spl31_153
| ~ spl31_250 ),
inference(avatar_split_clause,[],[f2203,f2071,f1358,f8522]) ).
fof(f2203,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK3(X1)),X1)
| v1_xboole_0(X1)
| r2_hidden(sK12(X0,sK3(X1)),X0)
| sK3(X1) = X0 )
| ~ spl31_153
| ~ spl31_250 ),
inference(resolution,[],[f2072,f1359]) ).
fof(f8488,plain,
( spl31_694
| ~ spl31_59
| ~ spl31_676 ),
inference(avatar_split_clause,[],[f8258,f8183,f808,f8485]) ).
fof(f8485,plain,
( spl31_694
<=> v5_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_694])]) ).
fof(f808,plain,
( spl31_59
<=> ! [X0] :
( v5_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_59])]) ).
fof(f8258,plain,
( v5_lattices(k1_lattice2(sK2))
| ~ spl31_59
| ~ spl31_676 ),
inference(resolution,[],[f8185,f809]) ).
fof(f809,plain,
( ! [X0] :
( ~ sP0(X0)
| v5_lattices(X0) )
| ~ spl31_59 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f8403,plain,
( spl31_693
| ~ spl31_83
| ~ spl31_215
| ~ spl31_378 ),
inference(avatar_split_clause,[],[f3476,f3448,f1867,f925,f8401]) ).
fof(f8401,plain,
( spl31_693
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK22,X2)
| sK22 = X2
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_693])]) ).
fof(f3476,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK22,X2)
| sK22 = X2
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_378 ),
inference(forward_demodulation,[],[f3475,f1868]) ).
fof(f3475,plain,
( ! [X2,X0,X1] :
( sK22 = X2
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK11(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_378 ),
inference(forward_demodulation,[],[f3471,f1868]) ).
fof(f3471,plain,
( ! [X2,X0,X1] :
( sK11(k2_zfmisc_1(X0,X1)) = X2
| ~ r1_filter_2(k2_zfmisc_1(X0,X1),sK11(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_83
| ~ spl31_378 ),
inference(resolution,[],[f3449,f926]) ).
fof(f8399,plain,
( spl31_692
| ~ spl31_65
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3208,f3067,f832,f8397]) ).
fof(f8397,plain,
( spl31_692
<=> ! [X0,X1] :
( r1_filter_2(X0,X1,sK10(k1_zfmisc_1(X0)))
| ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_692])]) ).
fof(f3208,plain,
( ! [X0,X1] :
( r1_filter_2(X0,X1,sK10(k1_zfmisc_1(X0)))
| ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_65
| ~ spl31_357 ),
inference(resolution,[],[f3068,f833]) ).
fof(f8395,plain,
( spl31_691
| ~ spl31_117
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2655,f2598,f1124,f8393]) ).
fof(f8393,plain,
( spl31_691
<=> ! [X0] :
( ~ r1_filter_2(u1_struct_0(X0),sK4(X0),sK22)
| sK4(X0) = sK22
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_691])]) ).
fof(f2655,plain,
( ! [X0] :
( ~ r1_filter_2(u1_struct_0(X0),sK4(X0),sK22)
| sK4(X0) = sK22
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_314 ),
inference(resolution,[],[f2599,f1125]) ).
fof(f8391,plain,
( spl31_690
| ~ spl31_127
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2651,f2598,f1165,f8389]) ).
fof(f8389,plain,
( spl31_690
<=> ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK22)
| sK22 = X2
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_690])]) ).
fof(f2651,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,sK22)
| sK22 = X2
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_127
| ~ spl31_314 ),
inference(resolution,[],[f2599,f1166]) ).
fof(f8387,plain,
( spl31_689
| ~ spl31_286
| ~ spl31_302 ),
inference(avatar_split_clause,[],[f2539,f2481,f2290,f8385]) ).
fof(f8385,plain,
( spl31_689
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK4(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| sK4(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_689])]) ).
fof(f2539,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK4(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| sK4(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl31_286
| ~ spl31_302 ),
inference(resolution,[],[f2482,f2291]) ).
fof(f8383,plain,
( spl31_688
| ~ spl31_287
| ~ spl31_302 ),
inference(avatar_split_clause,[],[f2537,f2481,f2294,f8381]) ).
fof(f8381,plain,
( spl31_688
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,sK4(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sK4(X1) = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_688])]) ).
fof(f2537,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK4(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sK4(X1) = X0
| ~ v1_xboole_0(X0) )
| ~ spl31_287
| ~ spl31_302 ),
inference(resolution,[],[f2482,f2295]) ).
fof(f8362,plain,
( spl31_687
| ~ spl31_258
| ~ spl31_685 ),
inference(avatar_split_clause,[],[f8353,f8350,f2149,f8360]) ).
fof(f8360,plain,
( spl31_687
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_0(sK25,X0) = k2_filter_2(sK25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_687])]) ).
fof(f8350,plain,
( spl31_685
<=> ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_0(sK25,X0) = k2_filter_2(sK25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_685])]) ).
fof(f8353,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_0(sK25,X0) = k2_filter_2(sK25,X0) )
| ~ spl31_258
| ~ spl31_685 ),
inference(forward_demodulation,[],[f8351,f2151]) ).
fof(f8351,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_0(sK25,X0) = k2_filter_2(sK25,X0) )
| ~ spl31_685 ),
inference(avatar_component_clause,[],[f8350]) ).
fof(f8358,plain,
( spl31_686
| ~ spl31_58
| ~ spl31_676 ),
inference(avatar_split_clause,[],[f8257,f8183,f804,f8355]) ).
fof(f8355,plain,
( spl31_686
<=> v4_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_686])]) ).
fof(f804,plain,
( spl31_58
<=> ! [X0] :
( v4_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_58])]) ).
fof(f8257,plain,
( v4_lattices(k1_lattice2(sK2))
| ~ spl31_58
| ~ spl31_676 ),
inference(resolution,[],[f8185,f805]) ).
fof(f805,plain,
( ! [X0] :
( ~ sP0(X0)
| v4_lattices(X0) )
| ~ spl31_58 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f8352,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_685
| ~ spl31_165
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2113,f2096,f1453,f8350,f607,f652,f612]) ).
fof(f2113,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_0(sK25,X0) = k2_filter_2(sK25,X0)
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_165
| ~ spl31_255 ),
inference(superposition,[],[f1454,f2098]) ).
fof(f8331,plain,
( spl31_684
| ~ spl31_258
| ~ spl31_683 ),
inference(avatar_split_clause,[],[f8327,f8324,f2149,f8329]) ).
fof(f8329,plain,
( spl31_684
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k18_filter_2(sK25,X0) = a_2_0_filter_2(sK25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_684])]) ).
fof(f8324,plain,
( spl31_683
<=> ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k18_filter_2(sK25,X0) = a_2_0_filter_2(sK25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_683])]) ).
fof(f8327,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k18_filter_2(sK25,X0) = a_2_0_filter_2(sK25,X0) )
| ~ spl31_258
| ~ spl31_683 ),
inference(forward_demodulation,[],[f8325,f2151]) ).
fof(f8325,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k18_filter_2(sK25,X0) = a_2_0_filter_2(sK25,X0) )
| ~ spl31_683 ),
inference(avatar_component_clause,[],[f8324]) ).
fof(f8326,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_683
| ~ spl31_164
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2112,f2096,f1449,f8324,f607,f652,f612]) ).
fof(f2112,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k18_filter_2(sK25,X0) = a_2_0_filter_2(sK25,X0)
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_164
| ~ spl31_255 ),
inference(superposition,[],[f1450,f2098]) ).
fof(f8305,plain,
( spl31_682
| ~ spl31_258
| ~ spl31_681 ),
inference(avatar_split_clause,[],[f8301,f8298,f2149,f8303]) ).
fof(f8303,plain,
( spl31_682
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_0(sK25,X0) = a_2_0_filter_0(sK25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_682])]) ).
fof(f8298,plain,
( spl31_681
<=> ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_0(sK25,X0) = a_2_0_filter_0(sK25,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_681])]) ).
fof(f8301,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k2_filter_0(sK25,X0) = a_2_0_filter_0(sK25,X0) )
| ~ spl31_258
| ~ spl31_681 ),
inference(forward_demodulation,[],[f8299,f2151]) ).
fof(f8299,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_0(sK25,X0) = a_2_0_filter_0(sK25,X0) )
| ~ spl31_681 ),
inference(avatar_component_clause,[],[f8298]) ).
fof(f8300,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_681
| ~ spl31_163
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2111,f2096,f1445,f8298,f607,f652,f612]) ).
fof(f2111,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k2_filter_0(sK25,X0) = a_2_0_filter_0(sK25,X0)
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_163
| ~ spl31_255 ),
inference(superposition,[],[f1446,f2098]) ).
fof(f8247,plain,
( spl31_680
| ~ spl31_94
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3202,f3067,f978,f8245]) ).
fof(f8245,plain,
( spl31_680
<=> ! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| ~ r1_filter_2(X0,X2,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_680])]) ).
fof(f3202,plain,
( ! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| ~ r1_filter_2(X0,X2,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X2,X0) )
| ~ spl31_94
| ~ spl31_357 ),
inference(resolution,[],[f3068,f979]) ).
fof(f8243,plain,
( spl31_679
| ~ spl31_65
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f2999,f2951,f832,f8241]) ).
fof(f8241,plain,
( spl31_679
<=> ! [X0,X1] :
( sK10(k1_zfmisc_1(X0)) = X1
| ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_679])]) ).
fof(f2999,plain,
( ! [X0,X1] :
( sK10(k1_zfmisc_1(X0)) = X1
| ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_65
| ~ spl31_342 ),
inference(resolution,[],[f2952,f833]) ).
fof(f8239,plain,
( spl31_678
| ~ spl31_142
| ~ spl31_301 ),
inference(avatar_split_clause,[],[f2533,f2477,f1287,f8237]) ).
fof(f8237,plain,
( spl31_678
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_678])]) ).
fof(f1287,plain,
( spl31_142
<=> ! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_142])]) ).
fof(f2533,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_lattices(X1) )
| ~ spl31_142
| ~ spl31_301 ),
inference(resolution,[],[f2478,f1288]) ).
fof(f1288,plain,
( ! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl31_142 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f8235,plain,
( spl31_677
| ~ spl31_145
| ~ spl31_301 ),
inference(avatar_split_clause,[],[f2532,f2477,f1300,f8233]) ).
fof(f8233,plain,
( spl31_677
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l2_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_677])]) ).
fof(f1300,plain,
( spl31_145
<=> ! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_145])]) ).
fof(f2532,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l2_lattices(X1) )
| ~ spl31_145
| ~ spl31_301 ),
inference(resolution,[],[f2478,f1301]) ).
fof(f1301,plain,
( ! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl31_145 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f8186,plain,
( ~ spl31_3
| spl31_676
| spl31_438
| ~ spl31_290
| ~ spl31_495 ),
inference(avatar_split_clause,[],[f5089,f5072,f2393,f4295,f8183,f537]) ).
fof(f2393,plain,
( spl31_290
<=> ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_290])]) ).
fof(f5089,plain,
( v3_struct_0(k1_lattice2(sK2))
| sP0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_290
| ~ spl31_495 ),
inference(resolution,[],[f5073,f2394]) ).
fof(f2394,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_290 ),
inference(avatar_component_clause,[],[f2393]) ).
fof(f8167,plain,
( spl31_675
| ~ spl31_72
| ~ spl31_360 ),
inference(avatar_split_clause,[],[f3242,f3220,f880,f8165]) ).
fof(f3220,plain,
( spl31_360
<=> ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_360])]) ).
fof(f3242,plain,
( ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_360 ),
inference(duplicate_literal_removal,[],[f3241]) ).
fof(f3241,plain,
( ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_360 ),
inference(resolution,[],[f3221,f881]) ).
fof(f3221,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_360 ),
inference(avatar_component_clause,[],[f3220]) ).
fof(f8163,plain,
( spl31_674
| ~ spl31_90
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3212,f3067,f962,f8161]) ).
fof(f8161,plain,
( spl31_674
<=> ! [X0,X1] :
( r1_filter_2(X0,X1,sK3(X0))
| ~ r1_filter_2(X0,sK3(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_674])]) ).
fof(f3212,plain,
( ! [X0,X1] :
( r1_filter_2(X0,X1,sK3(X0))
| ~ r1_filter_2(X0,sK3(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_90
| ~ spl31_357 ),
inference(duplicate_literal_removal,[],[f3206]) ).
fof(f3206,plain,
( ! [X0,X1] :
( r1_filter_2(X0,X1,sK3(X0))
| ~ r1_filter_2(X0,sK3(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_357 ),
inference(resolution,[],[f3068,f963]) ).
fof(f8155,plain,
( spl31_673
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_197
| ~ spl31_355 ),
inference(avatar_split_clause,[],[f3189,f3059,f1709,f607,f652,f612,f8152]) ).
fof(f3189,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_0(sK25,k6_lattices(sK25)) = k2_filter_2(sK25,k6_lattices(sK25))
| ~ spl31_197
| ~ spl31_355 ),
inference(resolution,[],[f3060,f1711]) ).
fof(f8146,plain,
( spl31_672
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_192
| ~ spl31_354 ),
inference(avatar_split_clause,[],[f3180,f3055,f1684,f607,f652,f612,f8143]) ).
fof(f3180,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_0(sK25,k5_lattices(sK25)) = k2_filter_2(sK25,k5_lattices(sK25))
| ~ spl31_192
| ~ spl31_354 ),
inference(resolution,[],[f3056,f1686]) ).
fof(f8138,plain,
( spl31_28
| ~ spl31_36
| spl31_671
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_353 ),
inference(avatar_split_clause,[],[f3174,f3051,f2167,f2119,f657,f8135,f702,f662]) ).
fof(f3174,plain,
( k2_filter_0(sK26,sK10(k1_filter_2(sK26))) = k2_filter_2(sK26,sK10(k1_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_353 ),
inference(forward_demodulation,[],[f3173,f2169]) ).
fof(f3173,plain,
( k2_filter_0(sK26,sK10(k17_filter_2(sK26))) = k2_filter_2(sK26,sK10(k17_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_353 ),
inference(forward_demodulation,[],[f3167,f2121]) ).
fof(f3167,plain,
( k2_filter_0(sK26,sK10(u1_struct_0(sK26))) = k2_filter_2(sK26,sK10(u1_struct_0(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_353 ),
inference(resolution,[],[f3052,f659]) ).
fof(f8130,plain,
( spl31_18
| ~ spl31_26
| spl31_670
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_353 ),
inference(avatar_split_clause,[],[f3172,f3051,f2149,f2096,f607,f8127,f652,f612]) ).
fof(f3172,plain,
( k2_filter_0(sK25,sK10(k1_filter_2(sK25))) = k2_filter_2(sK25,sK10(k1_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_353 ),
inference(forward_demodulation,[],[f3171,f2151]) ).
fof(f3171,plain,
( k2_filter_0(sK25,sK10(k17_filter_2(sK25))) = k2_filter_2(sK25,sK10(k17_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_353 ),
inference(forward_demodulation,[],[f3166,f2098]) ).
fof(f3166,plain,
( k2_filter_0(sK25,sK10(u1_struct_0(sK25))) = k2_filter_2(sK25,sK10(u1_struct_0(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_353 ),
inference(resolution,[],[f3052,f609]) ).
fof(f8078,plain,
( spl31_669
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_197
| ~ spl31_351 ),
inference(avatar_split_clause,[],[f3159,f3041,f1709,f607,f652,f612,f8075]) ).
fof(f8075,plain,
( spl31_669
<=> k18_filter_2(sK25,k6_lattices(sK25)) = a_2_0_filter_2(sK25,k6_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_669])]) ).
fof(f3159,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k18_filter_2(sK25,k6_lattices(sK25)) = a_2_0_filter_2(sK25,k6_lattices(sK25))
| ~ spl31_197
| ~ spl31_351 ),
inference(resolution,[],[f3042,f1711]) ).
fof(f8026,plain,
( spl31_668
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_192
| ~ spl31_350 ),
inference(avatar_split_clause,[],[f3151,f3037,f1684,f607,f652,f612,f8023]) ).
fof(f8023,plain,
( spl31_668
<=> k18_filter_2(sK25,k5_lattices(sK25)) = a_2_0_filter_2(sK25,k5_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_668])]) ).
fof(f3151,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k18_filter_2(sK25,k5_lattices(sK25)) = a_2_0_filter_2(sK25,k5_lattices(sK25))
| ~ spl31_192
| ~ spl31_350 ),
inference(resolution,[],[f3038,f1686]) ).
fof(f8008,plain,
( spl31_28
| ~ spl31_36
| spl31_667
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_349 ),
inference(avatar_split_clause,[],[f3145,f3033,f2167,f2119,f657,f8005,f702,f662]) ).
fof(f8005,plain,
( spl31_667
<=> k18_filter_2(sK26,sK10(k1_filter_2(sK26))) = a_2_0_filter_2(sK26,sK10(k1_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_667])]) ).
fof(f3145,plain,
( k18_filter_2(sK26,sK10(k1_filter_2(sK26))) = a_2_0_filter_2(sK26,sK10(k1_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_349 ),
inference(forward_demodulation,[],[f3144,f2169]) ).
fof(f3144,plain,
( k18_filter_2(sK26,sK10(k17_filter_2(sK26))) = a_2_0_filter_2(sK26,sK10(k17_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_349 ),
inference(forward_demodulation,[],[f3138,f2121]) ).
fof(f3138,plain,
( k18_filter_2(sK26,sK10(u1_struct_0(sK26))) = a_2_0_filter_2(sK26,sK10(u1_struct_0(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_349 ),
inference(resolution,[],[f3034,f659]) ).
fof(f7956,plain,
( spl31_18
| ~ spl31_26
| spl31_666
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_349 ),
inference(avatar_split_clause,[],[f3143,f3033,f2149,f2096,f607,f7953,f652,f612]) ).
fof(f7953,plain,
( spl31_666
<=> k18_filter_2(sK25,sK10(k1_filter_2(sK25))) = a_2_0_filter_2(sK25,sK10(k1_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_666])]) ).
fof(f3143,plain,
( k18_filter_2(sK25,sK10(k1_filter_2(sK25))) = a_2_0_filter_2(sK25,sK10(k1_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_349 ),
inference(forward_demodulation,[],[f3142,f2151]) ).
fof(f3142,plain,
( k18_filter_2(sK25,sK10(k17_filter_2(sK25))) = a_2_0_filter_2(sK25,sK10(k17_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_349 ),
inference(forward_demodulation,[],[f3137,f2098]) ).
fof(f3137,plain,
( k18_filter_2(sK25,sK10(u1_struct_0(sK25))) = a_2_0_filter_2(sK25,sK10(u1_struct_0(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_349 ),
inference(resolution,[],[f3034,f609]) ).
fof(f7951,plain,
( ~ spl31_3
| spl31_438
| spl31_665
| ~ spl31_291
| ~ spl31_495 ),
inference(avatar_split_clause,[],[f5088,f5072,f2397,f7948,f4295,f537]) ).
fof(f7948,plain,
( spl31_665
<=> sP1(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_665])]) ).
fof(f2397,plain,
( spl31_291
<=> ! [X0] :
( sP1(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_291])]) ).
fof(f5088,plain,
( sP1(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| ~ spl31_291
| ~ spl31_495 ),
inference(resolution,[],[f5073,f2398]) ).
fof(f2398,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| sP1(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_291 ),
inference(avatar_component_clause,[],[f2397]) ).
fof(f7899,plain,
( spl31_664
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_197
| ~ spl31_348 ),
inference(avatar_split_clause,[],[f3125,f3029,f1709,f607,f652,f612,f7896]) ).
fof(f7896,plain,
( spl31_664
<=> k2_filter_0(sK25,k6_lattices(sK25)) = a_2_0_filter_0(sK25,k6_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_664])]) ).
fof(f3125,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_0(sK25,k6_lattices(sK25)) = a_2_0_filter_0(sK25,k6_lattices(sK25))
| ~ spl31_197
| ~ spl31_348 ),
inference(resolution,[],[f3030,f1711]) ).
fof(f7847,plain,
( spl31_663
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_192
| ~ spl31_347 ),
inference(avatar_split_clause,[],[f3116,f3025,f1684,f607,f652,f612,f7844]) ).
fof(f7844,plain,
( spl31_663
<=> k2_filter_0(sK25,k5_lattices(sK25)) = a_2_0_filter_0(sK25,k5_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_663])]) ).
fof(f3116,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k2_filter_0(sK25,k5_lattices(sK25)) = a_2_0_filter_0(sK25,k5_lattices(sK25))
| ~ spl31_192
| ~ spl31_347 ),
inference(resolution,[],[f3026,f1686]) ).
fof(f7829,plain,
( spl31_28
| ~ spl31_36
| spl31_662
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_346 ),
inference(avatar_split_clause,[],[f3110,f3021,f2167,f2119,f657,f7826,f702,f662]) ).
fof(f7826,plain,
( spl31_662
<=> k2_filter_0(sK26,sK10(k1_filter_2(sK26))) = a_2_0_filter_0(sK26,sK10(k1_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_662])]) ).
fof(f3110,plain,
( k2_filter_0(sK26,sK10(k1_filter_2(sK26))) = a_2_0_filter_0(sK26,sK10(k1_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_346 ),
inference(forward_demodulation,[],[f3109,f2169]) ).
fof(f3109,plain,
( k2_filter_0(sK26,sK10(k17_filter_2(sK26))) = a_2_0_filter_0(sK26,sK10(k17_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_346 ),
inference(forward_demodulation,[],[f3103,f2121]) ).
fof(f3103,plain,
( k2_filter_0(sK26,sK10(u1_struct_0(sK26))) = a_2_0_filter_0(sK26,sK10(u1_struct_0(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_346 ),
inference(resolution,[],[f3022,f659]) ).
fof(f7777,plain,
( spl31_18
| ~ spl31_26
| spl31_661
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_346 ),
inference(avatar_split_clause,[],[f3108,f3021,f2149,f2096,f607,f7774,f652,f612]) ).
fof(f7774,plain,
( spl31_661
<=> k2_filter_0(sK25,sK10(k1_filter_2(sK25))) = a_2_0_filter_0(sK25,sK10(k1_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_661])]) ).
fof(f3108,plain,
( k2_filter_0(sK25,sK10(k1_filter_2(sK25))) = a_2_0_filter_0(sK25,sK10(k1_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_346 ),
inference(forward_demodulation,[],[f3107,f2151]) ).
fof(f3107,plain,
( k2_filter_0(sK25,sK10(k17_filter_2(sK25))) = a_2_0_filter_0(sK25,sK10(k17_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_346 ),
inference(forward_demodulation,[],[f3102,f2098]) ).
fof(f3102,plain,
( k2_filter_0(sK25,sK10(u1_struct_0(sK25))) = a_2_0_filter_0(sK25,sK10(u1_struct_0(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_346 ),
inference(resolution,[],[f3022,f609]) ).
fof(f7772,plain,
( spl31_660
| ~ spl31_94
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f2993,f2951,f978,f7770]) ).
fof(f7770,plain,
( spl31_660
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(X2,X0,X1)
| v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_660])]) ).
fof(f2993,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ r1_filter_2(X2,X0,X1)
| v1_xboole_0(X2)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X2) )
| ~ spl31_94
| ~ spl31_342 ),
inference(resolution,[],[f2952,f979]) ).
fof(f7768,plain,
( ~ spl31_69
| ~ spl31_70
| spl31_651 ),
inference(avatar_split_clause,[],[f7724,f7712,f872,f867]) ).
fof(f867,plain,
( spl31_69
<=> l2_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_69])]) ).
fof(f7724,plain,
( ~ l2_lattices(sK2)
| ~ spl31_70
| spl31_651 ),
inference(resolution,[],[f7714,f873]) ).
fof(f7714,plain,
( ~ v1_funct_1(u2_lattices(sK2))
| spl31_651 ),
inference(avatar_component_clause,[],[f7712]) ).
fof(f7767,plain,
( spl31_659
| ~ spl31_148
| ~ spl31_336 ),
inference(avatar_split_clause,[],[f2930,f2842,f1312,f7765]) ).
fof(f7765,plain,
( spl31_659
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m2_lattice4(k2_filter_0(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_659])]) ).
fof(f1312,plain,
( spl31_148
<=> ! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_148])]) ).
fof(f2842,plain,
( spl31_336
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_2(k2_filter_0(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_336])]) ).
fof(f2930,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m2_lattice4(k2_filter_0(X0,X1),X0) )
| ~ spl31_148
| ~ spl31_336 ),
inference(duplicate_literal_removal,[],[f2926]) ).
fof(f2926,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| m2_lattice4(k2_filter_0(X0,X1),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_148
| ~ spl31_336 ),
inference(resolution,[],[f2843,f1313]) ).
fof(f1313,plain,
( ! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_148 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f2843,plain,
( ! [X0,X1] :
( m1_filter_2(k2_filter_0(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) )
| ~ spl31_336 ),
inference(avatar_component_clause,[],[f2842]) ).
fof(f7763,plain,
( spl31_658
| ~ spl31_86
| ~ spl31_323 ),
inference(avatar_split_clause,[],[f2850,f2789,f946,f7761]) ).
fof(f7761,plain,
( spl31_658
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_658])]) ).
fof(f2850,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl31_86
| ~ spl31_323 ),
inference(resolution,[],[f2790,f947]) ).
fof(f7759,plain,
( spl31_657
| ~ spl31_142
| ~ spl31_292 ),
inference(avatar_split_clause,[],[f2465,f2401,f1287,f7757]) ).
fof(f7757,plain,
( spl31_657
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_657])]) ).
fof(f2465,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl31_142
| ~ spl31_292 ),
inference(resolution,[],[f2402,f1288]) ).
fof(f7755,plain,
( spl31_656
| ~ spl31_145
| ~ spl31_292 ),
inference(avatar_split_clause,[],[f2464,f2401,f1300,f7753]) ).
fof(f7753,plain,
( spl31_656
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_656])]) ).
fof(f2464,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ r2_hidden(X1,u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl31_145
| ~ spl31_292 ),
inference(resolution,[],[f2402,f1301]) ).
fof(f7734,plain,
( spl31_655
| ~ spl31_258
| ~ spl31_654 ),
inference(avatar_split_clause,[],[f7730,f7727,f2149,f7732]) ).
fof(f7732,plain,
( spl31_655
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k5_filter_2(sK25,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_655])]) ).
fof(f7727,plain,
( spl31_654
<=> ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k5_filter_2(sK25,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_654])]) ).
fof(f7730,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| k5_filter_2(sK25,X0) = X0 )
| ~ spl31_258
| ~ spl31_654 ),
inference(forward_demodulation,[],[f7728,f2151]) ).
fof(f7728,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k5_filter_2(sK25,X0) = X0 )
| ~ spl31_654 ),
inference(avatar_component_clause,[],[f7727]) ).
fof(f7729,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_654
| ~ spl31_158
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2110,f2096,f1404,f7727,f607,f652,f612]) ).
fof(f2110,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| k5_filter_2(sK25,X0) = X0
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_158
| ~ spl31_255 ),
inference(superposition,[],[f1405,f2098]) ).
fof(f7725,plain,
( ~ spl31_66
| ~ spl31_68
| spl31_649 ),
inference(avatar_split_clause,[],[f7723,f7704,f863,f850]) ).
fof(f850,plain,
( spl31_66
<=> l1_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_66])]) ).
fof(f7723,plain,
( ~ l1_lattices(sK2)
| ~ spl31_68
| spl31_649 ),
inference(resolution,[],[f7706,f864]) ).
fof(f7706,plain,
( ~ v1_funct_1(u1_lattices(sK2))
| spl31_649 ),
inference(avatar_component_clause,[],[f7704]) ).
fof(f7722,plain,
( ~ spl31_649
| ~ spl31_430
| ~ spl31_650
| ~ spl31_651
| ~ spl31_434
| ~ spl31_652
| spl31_653
| ~ spl31_189
| ~ spl31_208 ),
inference(avatar_split_clause,[],[f1825,f1820,f1667,f7720,f7716,f4270,f7712,f7708,f4244,f7704]) ).
fof(f1825,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u2_lattices(sK2) = X2
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ v1_funct_1(u1_lattices(sK2)) )
| ~ spl31_189
| ~ spl31_208 ),
inference(superposition,[],[f1668,f1822]) ).
fof(f7590,plain,
( spl31_648
| ~ spl31_65
| ~ spl31_469 ),
inference(avatar_split_clause,[],[f4871,f4866,f832,f7587]) ).
fof(f7587,plain,
( spl31_648
<=> r3_lattices(sK2,sK10(k1_filter_2(sK2)),sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_648])]) ).
fof(f4871,plain,
( r3_lattices(sK2,sK10(k1_filter_2(sK2)),sK10(k1_filter_2(sK2)))
| ~ spl31_65
| ~ spl31_469 ),
inference(resolution,[],[f4867,f833]) ).
fof(f7094,plain,
( spl31_647
| ~ spl31_90
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f3003,f2951,f962,f7092]) ).
fof(f7092,plain,
( spl31_647
<=> ! [X0,X1] :
( sK3(X0) = X1
| ~ r1_filter_2(X0,sK3(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_647])]) ).
fof(f3003,plain,
( ! [X0,X1] :
( sK3(X0) = X1
| ~ r1_filter_2(X0,sK3(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_90
| ~ spl31_342 ),
inference(duplicate_literal_removal,[],[f2997]) ).
fof(f2997,plain,
( ! [X0,X1] :
( sK3(X0) = X1
| ~ r1_filter_2(X0,sK3(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_342 ),
inference(resolution,[],[f2952,f963]) ).
fof(f7090,plain,
( spl31_646
| ~ spl31_279
| ~ spl31_341 ),
inference(avatar_split_clause,[],[f2992,f2947,f2262,f7088]) ).
fof(f7088,plain,
( spl31_646
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k17_filter_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_646])]) ).
fof(f2262,plain,
( spl31_279
<=> ! [X0] :
( m2_lattice4(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_279])]) ).
fof(f2992,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k17_filter_2(X0)) )
| ~ spl31_279
| ~ spl31_341 ),
inference(duplicate_literal_removal,[],[f2977]) ).
fof(f2977,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k17_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_279
| ~ spl31_341 ),
inference(resolution,[],[f2948,f2263]) ).
fof(f2263,plain,
( ! [X0] :
( m2_lattice4(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_279 ),
inference(avatar_component_clause,[],[f2262]) ).
fof(f7086,plain,
( spl31_645
| ~ spl31_278
| ~ spl31_341 ),
inference(avatar_split_clause,[],[f2988,f2947,f2258,f7084]) ).
fof(f7084,plain,
( spl31_645
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_645])]) ).
fof(f2258,plain,
( spl31_278
<=> ! [X0] :
( m2_lattice4(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_278])]) ).
fof(f2988,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK5(X0)) )
| ~ spl31_278
| ~ spl31_341 ),
inference(duplicate_literal_removal,[],[f2981]) ).
fof(f2981,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK5(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_278
| ~ spl31_341 ),
inference(resolution,[],[f2948,f2259]) ).
fof(f2259,plain,
( ! [X0] :
( m2_lattice4(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_278 ),
inference(avatar_component_clause,[],[f2258]) ).
fof(f7082,plain,
( spl31_644
| ~ spl31_125
| ~ spl31_341 ),
inference(avatar_split_clause,[],[f2986,f2947,f1157,f7080]) ).
fof(f7080,plain,
( spl31_644
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_644])]) ).
fof(f1157,plain,
( spl31_125
<=> ! [X0] :
( m2_lattice4(sK8(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_125])]) ).
fof(f2986,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK8(X0)) )
| ~ spl31_125
| ~ spl31_341 ),
inference(duplicate_literal_removal,[],[f2983]) ).
fof(f2983,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK8(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_125
| ~ spl31_341 ),
inference(resolution,[],[f2948,f1158]) ).
fof(f1158,plain,
( ! [X0] :
( m2_lattice4(sK8(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_125 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f7078,plain,
( spl31_643
| ~ spl31_126
| ~ spl31_341 ),
inference(avatar_split_clause,[],[f2985,f2947,f1161,f7076]) ).
fof(f7076,plain,
( spl31_643
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_643])]) ).
fof(f1161,plain,
( spl31_126
<=> ! [X0] :
( m2_lattice4(sK9(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_126])]) ).
fof(f2985,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK9(X0)) )
| ~ spl31_126
| ~ spl31_341 ),
inference(duplicate_literal_removal,[],[f2984]) ).
fof(f2984,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK9(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_126
| ~ spl31_341 ),
inference(resolution,[],[f2948,f1162]) ).
fof(f1162,plain,
( ! [X0] :
( m2_lattice4(sK9(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_126 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f7074,plain,
( spl31_642
| ~ spl31_121
| ~ spl31_340 ),
inference(avatar_split_clause,[],[f2976,f2943,f1141,f7072]) ).
fof(f7072,plain,
( spl31_642
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_642])]) ).
fof(f1141,plain,
( spl31_121
<=> ! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_121])]) ).
fof(f2976,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_0(X0)) )
| ~ spl31_121
| ~ spl31_340 ),
inference(duplicate_literal_removal,[],[f2965]) ).
fof(f2965,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_121
| ~ spl31_340 ),
inference(resolution,[],[f2944,f1142]) ).
fof(f1142,plain,
( ! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_121 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f7070,plain,
( spl31_641
| ~ spl31_283
| ~ spl31_340 ),
inference(avatar_split_clause,[],[f2974,f2943,f2278,f7068]) ).
fof(f7068,plain,
( spl31_641
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_641])]) ).
fof(f2278,plain,
( spl31_283
<=> ! [X0] :
( m1_filter_0(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_283])]) ).
fof(f2974,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_2(X0)) )
| ~ spl31_283
| ~ spl31_340 ),
inference(duplicate_literal_removal,[],[f2967]) ).
fof(f2967,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_283
| ~ spl31_340 ),
inference(resolution,[],[f2944,f2279]) ).
fof(f2279,plain,
( ! [X0] :
( m1_filter_0(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_283 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f7066,plain,
( spl31_640
| ~ spl31_123
| ~ spl31_340 ),
inference(avatar_split_clause,[],[f2972,f2943,f1149,f7064]) ).
fof(f7064,plain,
( spl31_640
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_640])]) ).
fof(f1149,plain,
( spl31_123
<=> ! [X0] :
( m1_filter_0(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_123])]) ).
fof(f2972,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK6(X0)) )
| ~ spl31_123
| ~ spl31_340 ),
inference(duplicate_literal_removal,[],[f2969]) ).
fof(f2969,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK6(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_123
| ~ spl31_340 ),
inference(resolution,[],[f2944,f1150]) ).
fof(f1150,plain,
( ! [X0] :
( m1_filter_0(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_123 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f7062,plain,
( spl31_639
| ~ spl31_282
| ~ spl31_340 ),
inference(avatar_split_clause,[],[f2971,f2943,f2274,f7060]) ).
fof(f7060,plain,
( spl31_639
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_639])]) ).
fof(f2274,plain,
( spl31_282
<=> ! [X0] :
( m1_filter_0(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_282])]) ).
fof(f2971,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK7(X0)) )
| ~ spl31_282
| ~ spl31_340 ),
inference(duplicate_literal_removal,[],[f2970]) ).
fof(f2970,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_282
| ~ spl31_340 ),
inference(resolution,[],[f2944,f2275]) ).
fof(f2275,plain,
( ! [X0] :
( m1_filter_0(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_282 ),
inference(avatar_component_clause,[],[f2274]) ).
fof(f7058,plain,
( spl31_638
| ~ spl31_40
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f2964,f2939,f722,f7055]) ).
fof(f722,plain,
( spl31_40
<=> l3_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_40])]) ).
fof(f2964,plain,
( k1_lattice2(k1_lattice2(sK27)) = g3_lattices(u1_struct_0(k1_lattice2(sK27)),u1_lattices(k1_lattice2(sK27)),u2_lattices(k1_lattice2(sK27)))
| ~ spl31_40
| ~ spl31_339 ),
inference(resolution,[],[f2940,f724]) ).
fof(f724,plain,
( l3_lattices(sK27)
| ~ spl31_40 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f7053,plain,
( ~ spl31_637
| ~ spl31_427
| ~ spl31_450 ),
inference(avatar_split_clause,[],[f6842,f4526,f4229,f7050]) ).
fof(f7050,plain,
( spl31_637
<=> v1_xboole_0(k2_filter_0(sK2,sK10(sK4(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_637])]) ).
fof(f6842,plain,
( ~ v1_xboole_0(k2_filter_0(sK2,sK10(sK4(sK2))))
| ~ spl31_427
| ~ spl31_450 ),
inference(resolution,[],[f4231,f4527]) ).
fof(f7048,plain,
( spl31_636
| ~ spl31_27
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f2963,f2939,f657,f7045]) ).
fof(f2963,plain,
( k1_lattice2(k1_lattice2(sK26)) = g3_lattices(u1_struct_0(k1_lattice2(sK26)),u1_lattices(k1_lattice2(sK26)),u2_lattices(k1_lattice2(sK26)))
| ~ spl31_27
| ~ spl31_339 ),
inference(resolution,[],[f2940,f659]) ).
fof(f7043,plain,
( spl31_635
| ~ spl31_17
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f2962,f2939,f607,f7040]) ).
fof(f2962,plain,
( k1_lattice2(k1_lattice2(sK25)) = g3_lattices(u1_struct_0(k1_lattice2(sK25)),u1_lattices(k1_lattice2(sK25)),u2_lattices(k1_lattice2(sK25)))
| ~ spl31_17
| ~ spl31_339 ),
inference(resolution,[],[f2940,f609]) ).
fof(f7038,plain,
( spl31_634
| ~ spl31_14
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f2961,f2939,f592,f7035]) ).
fof(f592,plain,
( spl31_14
<=> l3_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_14])]) ).
fof(f2961,plain,
( k1_lattice2(k1_lattice2(sK24)) = g3_lattices(u1_struct_0(k1_lattice2(sK24)),u1_lattices(k1_lattice2(sK24)),u2_lattices(k1_lattice2(sK24)))
| ~ spl31_14
| ~ spl31_339 ),
inference(resolution,[],[f2940,f594]) ).
fof(f594,plain,
( l3_lattices(sK24)
| ~ spl31_14 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f7033,plain,
( spl31_633
| ~ spl31_10
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f2960,f2939,f572,f7030]) ).
fof(f572,plain,
( spl31_10
<=> l3_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_10])]) ).
fof(f2960,plain,
( k1_lattice2(k1_lattice2(sK21)) = g3_lattices(u1_struct_0(k1_lattice2(sK21)),u1_lattices(k1_lattice2(sK21)),u2_lattices(k1_lattice2(sK21)))
| ~ spl31_10
| ~ spl31_339 ),
inference(resolution,[],[f2940,f574]) ).
fof(f574,plain,
( l3_lattices(sK21)
| ~ spl31_10 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f7028,plain,
( spl31_632
| ~ spl31_82
| ~ spl31_326 ),
inference(avatar_split_clause,[],[f2858,f2801,f921,f7026]) ).
fof(f7026,plain,
( spl31_632
<=> ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_632])]) ).
fof(f2858,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) )
| ~ spl31_82
| ~ spl31_326 ),
inference(resolution,[],[f2802,f922]) ).
fof(f7024,plain,
( spl31_631
| ~ spl31_82
| ~ spl31_325 ),
inference(avatar_split_clause,[],[f2857,f2797,f921,f7022]) ).
fof(f7022,plain,
( spl31_631
<=> ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k17_filter_2(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_631])]) ).
fof(f2857,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k17_filter_2(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) )
| ~ spl31_82
| ~ spl31_325 ),
inference(resolution,[],[f2798,f922]) ).
fof(f7020,plain,
( spl31_630
| ~ spl31_82
| ~ spl31_324 ),
inference(avatar_split_clause,[],[f2853,f2793,f921,f7018]) ).
fof(f7018,plain,
( spl31_630
<=> ! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k1_filter_2(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_630])]) ).
fof(f2853,plain,
( ! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k1_filter_2(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) )
| ~ spl31_82
| ~ spl31_324 ),
inference(resolution,[],[f2794,f922]) ).
fof(f7016,plain,
( spl31_629
| ~ spl31_65
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2781,f2691,f832,f7014]) ).
fof(f7014,plain,
( spl31_629
<=> ! [X0] :
( ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),sK22)
| r1_filter_2(X0,sK22,sK10(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_629])]) ).
fof(f2781,plain,
( ! [X0] :
( ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),sK22)
| r1_filter_2(X0,sK22,sK10(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) )
| ~ spl31_65
| ~ spl31_322 ),
inference(resolution,[],[f2692,f833]) ).
fof(f7001,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_628
| ~ spl31_255
| ~ spl31_258
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2773,f2687,f2149,f2096,f6999,f607,f652,f612]) ).
fof(f2773,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ v1_xboole_0(k2_filter_0(sK25,X0)) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_321 ),
inference(forward_demodulation,[],[f2766,f2151]) ).
fof(f2766,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ v1_xboole_0(k2_filter_0(sK25,X0)) )
| ~ spl31_255
| ~ spl31_321 ),
inference(superposition,[],[f2688,f2098]) ).
fof(f6996,plain,
( ~ spl31_627
| ~ spl31_427
| ~ spl31_449 ),
inference(avatar_split_clause,[],[f6841,f4516,f4229,f6993]) ).
fof(f6993,plain,
( spl31_627
<=> v1_xboole_0(k2_filter_2(sK2,sK10(sK4(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_627])]) ).
fof(f6841,plain,
( ~ v1_xboole_0(k2_filter_2(sK2,sK10(sK4(sK2))))
| ~ spl31_427
| ~ spl31_449 ),
inference(resolution,[],[f4231,f4517]) ).
fof(f6980,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_626
| ~ spl31_255
| ~ spl31_258
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2754,f2683,f2149,f2096,f6978,f607,f652,f612]) ).
fof(f2754,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ v1_xboole_0(k2_filter_2(sK25,X0)) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_320 ),
inference(forward_demodulation,[],[f2747,f2151]) ).
fof(f2747,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ v1_xboole_0(k2_filter_2(sK25,X0)) )
| ~ spl31_255
| ~ spl31_320 ),
inference(superposition,[],[f2684,f2098]) ).
fof(f6965,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_625
| ~ spl31_255
| ~ spl31_258
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2735,f2679,f2149,f2096,f6963,f607,f652,f612]) ).
fof(f2735,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ v1_xboole_0(k18_filter_2(sK25,X0)) )
| ~ spl31_255
| ~ spl31_258
| ~ spl31_319 ),
inference(forward_demodulation,[],[f2728,f2151]) ).
fof(f2728,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK25))
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ v1_xboole_0(k18_filter_2(sK25,X0)) )
| ~ spl31_255
| ~ spl31_319 ),
inference(superposition,[],[f2680,f2098]) ).
fof(f6961,plain,
( spl31_624
| ~ spl31_86
| ~ spl31_316 ),
inference(avatar_split_clause,[],[f2695,f2667,f946,f6959]) ).
fof(f6959,plain,
( spl31_624
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_624])]) ).
fof(f2667,plain,
( spl31_316
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK4(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_316])]) ).
fof(f2695,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK4(X0)) )
| ~ spl31_86
| ~ spl31_316 ),
inference(resolution,[],[f2668,f947]) ).
fof(f2668,plain,
( ! [X0] :
( r2_hidden(sK4(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl31_316 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f6957,plain,
( spl31_623
| ~ spl31_243
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2647,f2572,f2031,f6955]) ).
fof(f2647,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X0)
| sK10(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X1) )
| ~ spl31_243
| ~ spl31_309 ),
inference(resolution,[],[f2573,f2032]) ).
fof(f6953,plain,
( spl31_622
| ~ spl31_243
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2623,f2564,f2031,f6951]) ).
fof(f2623,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) )
| ~ spl31_243
| ~ spl31_307 ),
inference(resolution,[],[f2565,f2032]) ).
fof(f6949,plain,
( spl31_621
| ~ spl31_246
| ~ spl31_287 ),
inference(avatar_split_clause,[],[f2376,f2294,f2051,f6947]) ).
fof(f2376,plain,
( ! [X0,X1] :
( sK10(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK12(X0,sK10(k1_zfmisc_1(X1))),X1) )
| ~ spl31_246
| ~ spl31_287 ),
inference(resolution,[],[f2295,f2052]) ).
fof(f6945,plain,
( spl31_620
| ~ spl31_250
| ~ spl31_287 ),
inference(avatar_split_clause,[],[f2375,f2294,f2071,f6943]) ).
fof(f2375,plain,
( ! [X0,X1] :
( sK3(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK12(X0,sK3(X1)),X1)
| v1_xboole_0(X1) )
| ~ spl31_250
| ~ spl31_287 ),
inference(resolution,[],[f2295,f2072]) ).
fof(f6941,plain,
( spl31_619
| ~ spl31_246
| ~ spl31_286 ),
inference(avatar_split_clause,[],[f2365,f2290,f2051,f6939]) ).
fof(f2365,plain,
( ! [X0,X1] :
( sK10(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK12(sK10(k1_zfmisc_1(X0)),X1),X0) )
| ~ spl31_246
| ~ spl31_286 ),
inference(resolution,[],[f2291,f2052]) ).
fof(f6937,plain,
( ~ spl31_618
| ~ spl31_427
| ~ spl31_448 ),
inference(avatar_split_clause,[],[f6840,f4507,f4229,f6934]) ).
fof(f6934,plain,
( spl31_618
<=> v1_xboole_0(k18_filter_2(sK2,sK10(sK4(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_618])]) ).
fof(f6840,plain,
( ~ v1_xboole_0(k18_filter_2(sK2,sK10(sK4(sK2))))
| ~ spl31_427
| ~ spl31_448 ),
inference(resolution,[],[f4231,f4508]) ).
fof(f6932,plain,
( spl31_617
| ~ spl31_250
| ~ spl31_286 ),
inference(avatar_split_clause,[],[f2364,f2290,f2071,f6930]) ).
fof(f2364,plain,
( ! [X0,X1] :
( sK3(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK12(sK3(X0),X1),X0)
| v1_xboole_0(X0) )
| ~ spl31_250
| ~ spl31_286 ),
inference(resolution,[],[f2291,f2072]) ).
fof(f6918,plain,
( spl31_616
| ~ spl31_258
| ~ spl31_615 ),
inference(avatar_split_clause,[],[f6914,f6911,f2149,f6916]) ).
fof(f6916,plain,
( spl31_616
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK25)))
| ~ m2_lattice4(X0,sK25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_616])]) ).
fof(f6911,plain,
( spl31_615
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK25)))
| ~ m2_lattice4(X0,sK25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_615])]) ).
fof(f6914,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK25)))
| ~ m2_lattice4(X0,sK25) )
| ~ spl31_258
| ~ spl31_615 ),
inference(forward_demodulation,[],[f6912,f2151]) ).
fof(f6912,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK25)))
| ~ m2_lattice4(X0,sK25) )
| ~ spl31_615 ),
inference(avatar_component_clause,[],[f6911]) ).
fof(f6913,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_615
| ~ spl31_157
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2109,f2096,f1390,f6911,f607,f652,f612]) ).
fof(f2109,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK25)))
| ~ m2_lattice4(X0,sK25)
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_157
| ~ spl31_255 ),
inference(superposition,[],[f1391,f2098]) ).
fof(f6899,plain,
( spl31_614
| ~ spl31_258
| ~ spl31_613 ),
inference(avatar_split_clause,[],[f6895,f6892,f2149,f6897]) ).
fof(f6897,plain,
( spl31_614
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK25)))
| ~ m1_filter_0(X0,sK25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_614])]) ).
fof(f6892,plain,
( spl31_613
<=> ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK25)))
| ~ m1_filter_0(X0,sK25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_613])]) ).
fof(f6895,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK25)))
| ~ m1_filter_0(X0,sK25) )
| ~ spl31_258
| ~ spl31_613 ),
inference(forward_demodulation,[],[f6893,f2151]) ).
fof(f6893,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK25)))
| ~ m1_filter_0(X0,sK25) )
| ~ spl31_613 ),
inference(avatar_component_clause,[],[f6892]) ).
fof(f6894,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_613
| ~ spl31_156
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2108,f2096,f1386,f6892,f607,f652,f612]) ).
fof(f2108,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK25)))
| ~ m1_filter_0(X0,sK25)
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25) )
| ~ spl31_156
| ~ spl31_255 ),
inference(superposition,[],[f1387,f2098]) ).
fof(f6890,plain,
( spl31_612
| ~ spl31_153
| ~ spl31_243 ),
inference(avatar_split_clause,[],[f2040,f2031,f1358,f6888]) ).
fof(f6888,plain,
( spl31_612
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_612])]) ).
fof(f2040,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK12(sK10(k1_zfmisc_1(X0)),X1),X1)
| sK10(k1_zfmisc_1(X0)) = X1 )
| ~ spl31_153
| ~ spl31_243 ),
inference(resolution,[],[f2032,f1359]) ).
fof(f6886,plain,
( spl31_611
| ~ spl31_153
| ~ spl31_243 ),
inference(avatar_split_clause,[],[f2039,f2031,f1358,f6884]) ).
fof(f6884,plain,
( spl31_611
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK12(X1,sK10(k1_zfmisc_1(X0))),X1)
| sK10(k1_zfmisc_1(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_611])]) ).
fof(f2039,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK12(X1,sK10(k1_zfmisc_1(X0))),X1)
| sK10(k1_zfmisc_1(X0)) = X1 )
| ~ spl31_153
| ~ spl31_243 ),
inference(resolution,[],[f2032,f1359]) ).
fof(f6521,plain,
( spl31_610
| ~ spl31_83
| ~ spl31_215
| ~ spl31_357 ),
inference(avatar_split_clause,[],[f3214,f3067,f1867,f925,f6519]) ).
fof(f6519,plain,
( spl31_610
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,sK22,X1)
| r1_filter_2(X0,X1,sK22)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_610])]) ).
fof(f3214,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,sK22,X1)
| r1_filter_2(X0,X1,sK22)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_357 ),
inference(forward_demodulation,[],[f3213,f1868]) ).
fof(f3213,plain,
( ! [X0,X1] :
( r1_filter_2(X0,X1,sK22)
| ~ r1_filter_2(X0,sK11(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_357 ),
inference(forward_demodulation,[],[f3209,f1868]) ).
fof(f3209,plain,
( ! [X0,X1] :
( r1_filter_2(X0,X1,sK11(X0))
| ~ r1_filter_2(X0,sK11(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_83
| ~ spl31_357 ),
inference(resolution,[],[f3068,f926]) ).
fof(f6511,plain,
( spl31_609
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_197
| ~ spl31_332 ),
inference(avatar_split_clause,[],[f2907,f2826,f1709,f607,f652,f612,f6508]) ).
fof(f2907,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k6_lattices(sK25) = k5_filter_2(sK25,k6_lattices(sK25))
| ~ spl31_197
| ~ spl31_332 ),
inference(resolution,[],[f2827,f1711]) ).
fof(f6506,plain,
( spl31_605
| spl31_606
| ~ spl31_607
| ~ spl31_608
| ~ spl31_8
| ~ spl31_332 ),
inference(avatar_split_clause,[],[f2904,f2826,f562,f6503,f6499,f6495,f6491]) ).
fof(f6491,plain,
( spl31_605
<=> k6_lattices(sK19) = k5_filter_2(sK19,k6_lattices(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_605])]) ).
fof(f6495,plain,
( spl31_606
<=> v3_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_606])]) ).
fof(f6499,plain,
( spl31_607
<=> v10_lattices(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_607])]) ).
fof(f6503,plain,
( spl31_608
<=> l3_lattices(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_608])]) ).
fof(f562,plain,
( spl31_8
<=> l2_lattices(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f2904,plain,
( ~ l3_lattices(sK19)
| ~ v10_lattices(sK19)
| v3_struct_0(sK19)
| k6_lattices(sK19) = k5_filter_2(sK19,k6_lattices(sK19))
| ~ spl31_8
| ~ spl31_332 ),
inference(resolution,[],[f2827,f564]) ).
fof(f564,plain,
( l2_lattices(sK19)
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f6483,plain,
( spl31_604
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_192
| ~ spl31_331 ),
inference(avatar_split_clause,[],[f2899,f2822,f1684,f607,f652,f612,f6480]) ).
fof(f2899,plain,
( ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| k5_lattices(sK25) = k5_filter_2(sK25,k5_lattices(sK25))
| ~ spl31_192
| ~ spl31_331 ),
inference(resolution,[],[f2823,f1686]) ).
fof(f6478,plain,
( spl31_600
| spl31_601
| ~ spl31_602
| ~ spl31_603
| ~ spl31_7
| ~ spl31_331 ),
inference(avatar_split_clause,[],[f2896,f2822,f557,f6475,f6471,f6467,f6463]) ).
fof(f6463,plain,
( spl31_600
<=> k5_lattices(sK18) = k5_filter_2(sK18,k5_lattices(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_600])]) ).
fof(f6467,plain,
( spl31_601
<=> v3_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_601])]) ).
fof(f6471,plain,
( spl31_602
<=> v10_lattices(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_602])]) ).
fof(f6475,plain,
( spl31_603
<=> l3_lattices(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_603])]) ).
fof(f557,plain,
( spl31_7
<=> l1_lattices(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_7])]) ).
fof(f2896,plain,
( ~ l3_lattices(sK18)
| ~ v10_lattices(sK18)
| v3_struct_0(sK18)
| k5_lattices(sK18) = k5_filter_2(sK18,k5_lattices(sK18))
| ~ spl31_7
| ~ spl31_331 ),
inference(resolution,[],[f2823,f559]) ).
fof(f559,plain,
( l1_lattices(sK18)
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f6459,plain,
( spl31_28
| ~ spl31_36
| spl31_599
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_330 ),
inference(avatar_split_clause,[],[f2893,f2818,f2167,f2119,f657,f6456,f702,f662]) ).
fof(f2893,plain,
( sK10(k1_filter_2(sK26)) = k5_filter_2(sK26,sK10(k1_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_261
| ~ spl31_330 ),
inference(forward_demodulation,[],[f2892,f2169]) ).
fof(f2892,plain,
( sK10(k17_filter_2(sK26)) = k5_filter_2(sK26,sK10(k17_filter_2(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_256
| ~ spl31_330 ),
inference(forward_demodulation,[],[f2886,f2121]) ).
fof(f2886,plain,
( sK10(u1_struct_0(sK26)) = k5_filter_2(sK26,sK10(u1_struct_0(sK26)))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_330 ),
inference(resolution,[],[f2819,f659]) ).
fof(f6448,plain,
( spl31_18
| ~ spl31_26
| spl31_598
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_330 ),
inference(avatar_split_clause,[],[f2891,f2818,f2149,f2096,f607,f6445,f652,f612]) ).
fof(f2891,plain,
( sK10(k1_filter_2(sK25)) = k5_filter_2(sK25,sK10(k1_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_258
| ~ spl31_330 ),
inference(forward_demodulation,[],[f2890,f2151]) ).
fof(f2890,plain,
( sK10(k17_filter_2(sK25)) = k5_filter_2(sK25,sK10(k17_filter_2(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_255
| ~ spl31_330 ),
inference(forward_demodulation,[],[f2885,f2098]) ).
fof(f2885,plain,
( sK10(u1_struct_0(sK25)) = k5_filter_2(sK25,sK10(u1_struct_0(sK25)))
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_330 ),
inference(resolution,[],[f2819,f609]) ).
fof(f6443,plain,
( spl31_597
| ~ spl31_279
| ~ spl31_328 ),
inference(avatar_split_clause,[],[f2880,f2809,f2262,f6441]) ).
fof(f6441,plain,
( spl31_597
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k17_filter_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_597])]) ).
fof(f2880,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k17_filter_2(X0)) )
| ~ spl31_279
| ~ spl31_328 ),
inference(duplicate_literal_removal,[],[f2869]) ).
fof(f2869,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k17_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_279
| ~ spl31_328 ),
inference(resolution,[],[f2810,f2263]) ).
fof(f6439,plain,
( spl31_596
| ~ spl31_278
| ~ spl31_328 ),
inference(avatar_split_clause,[],[f2878,f2809,f2258,f6437]) ).
fof(f6437,plain,
( spl31_596
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_596])]) ).
fof(f2878,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK5(X0)) )
| ~ spl31_278
| ~ spl31_328 ),
inference(duplicate_literal_removal,[],[f2871]) ).
fof(f2871,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK5(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_278
| ~ spl31_328 ),
inference(resolution,[],[f2810,f2259]) ).
fof(f6435,plain,
( spl31_595
| ~ spl31_125
| ~ spl31_328 ),
inference(avatar_split_clause,[],[f2876,f2809,f1157,f6433]) ).
fof(f6433,plain,
( spl31_595
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_595])]) ).
fof(f2876,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK8(X0)) )
| ~ spl31_125
| ~ spl31_328 ),
inference(duplicate_literal_removal,[],[f2873]) ).
fof(f2873,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK8(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_125
| ~ spl31_328 ),
inference(resolution,[],[f2810,f1158]) ).
fof(f6431,plain,
( spl31_594
| ~ spl31_126
| ~ spl31_328 ),
inference(avatar_split_clause,[],[f2875,f2809,f1161,f6429]) ).
fof(f6429,plain,
( spl31_594
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_594])]) ).
fof(f2875,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK9(X0)) )
| ~ spl31_126
| ~ spl31_328 ),
inference(duplicate_literal_removal,[],[f2874]) ).
fof(f2874,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK9(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_126
| ~ spl31_328 ),
inference(resolution,[],[f2810,f1162]) ).
fof(f6427,plain,
( spl31_593
| ~ spl31_121
| ~ spl31_327 ),
inference(avatar_split_clause,[],[f2868,f2805,f1141,f6425]) ).
fof(f6425,plain,
( spl31_593
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_593])]) ).
fof(f2868,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_0(X0)) )
| ~ spl31_121
| ~ spl31_327 ),
inference(duplicate_literal_removal,[],[f2859]) ).
fof(f2859,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_121
| ~ spl31_327 ),
inference(resolution,[],[f2806,f1142]) ).
fof(f6423,plain,
( spl31_592
| ~ spl31_283
| ~ spl31_327 ),
inference(avatar_split_clause,[],[f2866,f2805,f2278,f6421]) ).
fof(f6421,plain,
( spl31_592
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_592])]) ).
fof(f2866,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_2(X0)) )
| ~ spl31_283
| ~ spl31_327 ),
inference(duplicate_literal_removal,[],[f2861]) ).
fof(f2861,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,k1_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_283
| ~ spl31_327 ),
inference(resolution,[],[f2806,f2279]) ).
fof(f6419,plain,
( spl31_591
| ~ spl31_123
| ~ spl31_327 ),
inference(avatar_split_clause,[],[f2865,f2805,f1149,f6417]) ).
fof(f6417,plain,
( spl31_591
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_591])]) ).
fof(f2865,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK6(X0)) )
| ~ spl31_123
| ~ spl31_327 ),
inference(duplicate_literal_removal,[],[f2862]) ).
fof(f2862,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK6(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_123
| ~ spl31_327 ),
inference(resolution,[],[f2806,f1150]) ).
fof(f6415,plain,
( spl31_590
| ~ spl31_282
| ~ spl31_327 ),
inference(avatar_split_clause,[],[f2864,f2805,f2274,f6413]) ).
fof(f6413,plain,
( spl31_590
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_590])]) ).
fof(f2864,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK7(X0)) )
| ~ spl31_282
| ~ spl31_327 ),
inference(duplicate_literal_removal,[],[f2863]) ).
fof(f2863,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_282
| ~ spl31_327 ),
inference(resolution,[],[f2806,f2275]) ).
fof(f6411,plain,
( spl31_589
| ~ spl31_94
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2775,f2691,f978,f6409]) ).
fof(f6409,plain,
( spl31_589
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK22)
| r1_filter_2(X0,sK22,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_589])]) ).
fof(f2775,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK22)
| r1_filter_2(X0,sK22,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_94
| ~ spl31_322 ),
inference(resolution,[],[f2692,f979]) ).
fof(f6407,plain,
( spl31_588
| ~ spl31_108
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2771,f2687,f1073,f6405]) ).
fof(f6405,plain,
( spl31_588
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,k6_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_588])]) ).
fof(f2771,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,k6_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_321 ),
inference(duplicate_literal_removal,[],[f2756]) ).
fof(f2756,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,k6_lattices(X0)))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_321 ),
inference(resolution,[],[f2688,f1074]) ).
fof(f6403,plain,
( spl31_587
| ~ spl31_109
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2770,f2687,f1077,f6401]) ).
fof(f6401,plain,
( spl31_587
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,k5_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_587])]) ).
fof(f2770,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,k5_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_321 ),
inference(duplicate_literal_removal,[],[f2758]) ).
fof(f2758,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,k5_lattices(X0)))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_321 ),
inference(resolution,[],[f2688,f1078]) ).
fof(f6399,plain,
( spl31_586
| ~ spl31_358
| ~ spl31_469 ),
inference(avatar_split_clause,[],[f4870,f4866,f3129,f6396]) ).
fof(f6396,plain,
( spl31_586
<=> r3_lattices(sK2,k5_lattices(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_586])]) ).
fof(f4870,plain,
( r3_lattices(sK2,k5_lattices(sK2),k5_lattices(sK2))
| ~ spl31_358
| ~ spl31_469 ),
inference(resolution,[],[f4867,f3131]) ).
fof(f6394,plain,
( spl31_585
| ~ spl31_108
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2752,f2683,f1073,f6392]) ).
fof(f6392,plain,
( spl31_585
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,k6_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_585])]) ).
fof(f2752,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,k6_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_320 ),
inference(duplicate_literal_removal,[],[f2737]) ).
fof(f2737,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,k6_lattices(X0)))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_320 ),
inference(resolution,[],[f2684,f1074]) ).
fof(f6390,plain,
( spl31_584
| ~ spl31_109
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2751,f2683,f1077,f6388]) ).
fof(f6388,plain,
( spl31_584
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,k5_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_584])]) ).
fof(f2751,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,k5_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_320 ),
inference(duplicate_literal_removal,[],[f2739]) ).
fof(f2739,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,k5_lattices(X0)))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_320 ),
inference(resolution,[],[f2684,f1078]) ).
fof(f6386,plain,
( spl31_583
| ~ spl31_108
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2733,f2679,f1073,f6384]) ).
fof(f6384,plain,
( spl31_583
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,k6_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_583])]) ).
fof(f2733,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,k6_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_319 ),
inference(duplicate_literal_removal,[],[f2718]) ).
fof(f2718,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,k6_lattices(X0)))
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_319 ),
inference(resolution,[],[f2680,f1074]) ).
fof(f6382,plain,
( spl31_582
| ~ spl31_109
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2732,f2679,f1077,f6380]) ).
fof(f6380,plain,
( spl31_582
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,k5_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_582])]) ).
fof(f2732,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,k5_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_319 ),
inference(duplicate_literal_removal,[],[f2720]) ).
fof(f2720,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,k5_lattices(X0)))
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_319 ),
inference(resolution,[],[f2680,f1078]) ).
fof(f6378,plain,
( spl31_581
| ~ spl31_65
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2656,f2598,f832,f6376]) ).
fof(f6376,plain,
( spl31_581
<=> ! [X0] :
( ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),sK22)
| sK22 = sK10(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_581])]) ).
fof(f2656,plain,
( ! [X0] :
( ~ r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),sK22)
| sK22 = sK10(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_65
| ~ spl31_314 ),
inference(resolution,[],[f2599,f833]) ).
fof(f6374,plain,
( spl31_580
| ~ spl31_86
| ~ spl31_309 ),
inference(avatar_split_clause,[],[f2640,f2572,f946,f6372]) ).
fof(f6372,plain,
( spl31_580
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_580])]) ).
fof(f2640,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK12(X0,X1)) )
| ~ spl31_86
| ~ spl31_309 ),
inference(resolution,[],[f2573,f947]) ).
fof(f6370,plain,
( spl31_579
| ~ spl31_86
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2616,f2564,f946,f6368]) ).
fof(f6368,plain,
( spl31_579
<=> ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_579])]) ).
fof(f2616,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK12(X0,X1)) )
| ~ spl31_86
| ~ spl31_307 ),
inference(resolution,[],[f2565,f947]) ).
fof(f6366,plain,
( spl31_578
| ~ spl31_87
| ~ spl31_307 ),
inference(avatar_split_clause,[],[f2615,f2564,f950,f6364]) ).
fof(f950,plain,
( spl31_87
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_87])]) ).
fof(f2615,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK12(X0,X1),X0) )
| ~ spl31_87
| ~ spl31_307 ),
inference(resolution,[],[f2565,f951]) ).
fof(f951,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl31_87 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f6362,plain,
( spl31_577
| ~ spl31_235
| ~ spl31_302 ),
inference(avatar_split_clause,[],[f2536,f2481,f1984,f6360]) ).
fof(f6360,plain,
( spl31_577
<=> ! [X0] :
( m1_subset_1(sK10(sK4(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_577])]) ).
fof(f2536,plain,
( ! [X0] :
( m1_subset_1(sK10(sK4(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK4(X0)) )
| ~ spl31_235
| ~ spl31_302 ),
inference(resolution,[],[f2482,f1985]) ).
fof(f6348,plain,
( spl31_576
| ~ spl31_315
| ~ spl31_469 ),
inference(avatar_split_clause,[],[f4869,f4866,f2662,f6345]) ).
fof(f6345,plain,
( spl31_576
<=> r3_lattices(sK2,k6_lattices(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_576])]) ).
fof(f4869,plain,
( r3_lattices(sK2,k6_lattices(sK2),k6_lattices(sK2))
| ~ spl31_315
| ~ spl31_469 ),
inference(resolution,[],[f4867,f2664]) ).
fof(f6293,plain,
( spl31_575
| ~ spl31_83
| ~ spl31_215
| ~ spl31_342 ),
inference(avatar_split_clause,[],[f3005,f2951,f1867,f925,f6291]) ).
fof(f6291,plain,
( spl31_575
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,sK22,X1)
| sK22 = X1
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_575])]) ).
fof(f3005,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,sK22,X1)
| sK22 = X1
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_342 ),
inference(forward_demodulation,[],[f3004,f1868]) ).
fof(f3004,plain,
( ! [X0,X1] :
( sK22 = X1
| ~ r1_filter_2(X0,sK11(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_83
| ~ spl31_215
| ~ spl31_342 ),
inference(forward_demodulation,[],[f3000,f1868]) ).
fof(f3000,plain,
( ! [X0,X1] :
( sK11(X0) = X1
| ~ r1_filter_2(X0,sK11(X0),X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_83
| ~ spl31_342 ),
inference(resolution,[],[f2952,f926]) ).
fof(f6289,plain,
( spl31_574
| ~ spl31_90
| ~ spl31_322 ),
inference(avatar_split_clause,[],[f2785,f2691,f962,f6287]) ).
fof(f6287,plain,
( spl31_574
<=> ! [X0] :
( ~ r1_filter_2(X0,sK3(X0),sK22)
| r1_filter_2(X0,sK22,sK3(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_574])]) ).
fof(f2785,plain,
( ! [X0] :
( ~ r1_filter_2(X0,sK3(X0),sK22)
| r1_filter_2(X0,sK22,sK3(X0))
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_322 ),
inference(duplicate_literal_removal,[],[f2779]) ).
fof(f2779,plain,
( ! [X0] :
( ~ r1_filter_2(X0,sK3(X0),sK22)
| r1_filter_2(X0,sK22,sK3(X0))
| v1_xboole_0(X0)
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_322 ),
inference(resolution,[],[f2692,f963]) ).
fof(f6285,plain,
( spl31_573
| ~ spl31_65
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2759,f2687,f832,f6283]) ).
fof(f6283,plain,
( spl31_573
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK10(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_573])]) ).
fof(f2759,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_0(X0,sK10(u1_struct_0(X0)))) )
| ~ spl31_65
| ~ spl31_321 ),
inference(resolution,[],[f2688,f833]) ).
fof(f6281,plain,
( ~ spl31_572
| ~ spl31_65
| ~ spl31_445
| ~ spl31_449 ),
inference(avatar_split_clause,[],[f4524,f4516,f4389,f832,f6278]) ).
fof(f6278,plain,
( spl31_572
<=> v1_xboole_0(k2_filter_0(sK2,sK10(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_572])]) ).
fof(f4389,plain,
( spl31_445
<=> k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(sK2,sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_445])]) ).
fof(f4524,plain,
( ~ v1_xboole_0(k2_filter_0(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_445
| ~ spl31_449 ),
inference(forward_demodulation,[],[f4521,f4391]) ).
fof(f4391,plain,
( k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(sK2,sK10(k1_filter_2(sK2)))
| ~ spl31_445 ),
inference(avatar_component_clause,[],[f4389]) ).
fof(f4521,plain,
( ~ v1_xboole_0(k2_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_449 ),
inference(resolution,[],[f4517,f833]) ).
fof(f6276,plain,
( spl31_571
| ~ spl31_65
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2740,f2683,f832,f6274]) ).
fof(f6274,plain,
( spl31_571
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK10(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_571])]) ).
fof(f2740,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k2_filter_2(X0,sK10(u1_struct_0(X0)))) )
| ~ spl31_65
| ~ spl31_320 ),
inference(resolution,[],[f2684,f833]) ).
fof(f6272,plain,
( spl31_570
| ~ spl31_65
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2721,f2679,f832,f6270]) ).
fof(f6270,plain,
( spl31_570
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK10(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_570])]) ).
fof(f2721,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k18_filter_2(X0,sK10(u1_struct_0(X0)))) )
| ~ spl31_65
| ~ spl31_319 ),
inference(resolution,[],[f2680,f833]) ).
fof(f6268,plain,
( spl31_569
| ~ spl31_94
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2650,f2598,f978,f6266]) ).
fof(f6266,plain,
( spl31_569
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK22)
| sK22 = X1
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_569])]) ).
fof(f2650,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK22)
| sK22 = X1
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_94
| ~ spl31_314 ),
inference(resolution,[],[f2599,f979]) ).
fof(f6264,plain,
( spl31_568
| ~ spl31_86
| ~ spl31_300 ),
inference(avatar_split_clause,[],[f2518,f2473,f946,f6262]) ).
fof(f6262,plain,
( spl31_568
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ r2_hidden(u1_struct_0(X0),k5_lattices(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_568])]) ).
fof(f2473,plain,
( spl31_300
<=> ! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k5_lattices(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_300])]) ).
fof(f2518,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ r2_hidden(u1_struct_0(X0),k5_lattices(X0)) )
| ~ spl31_86
| ~ spl31_300 ),
inference(resolution,[],[f2474,f947]) ).
fof(f2474,plain,
( ! [X0] :
( r2_hidden(k5_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl31_300 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f6260,plain,
( spl31_567
| ~ spl31_86
| ~ spl31_299 ),
inference(avatar_split_clause,[],[f2505,f2469,f946,f6258]) ).
fof(f6258,plain,
( spl31_567
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ r2_hidden(u1_struct_0(X0),k6_lattices(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_567])]) ).
fof(f2469,plain,
( spl31_299
<=> ! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k6_lattices(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_299])]) ).
fof(f2505,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ r2_hidden(u1_struct_0(X0),k6_lattices(X0)) )
| ~ spl31_86
| ~ spl31_299 ),
inference(resolution,[],[f2470,f947]) ).
fof(f2470,plain,
( ! [X0] :
( r2_hidden(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl31_299 ),
inference(avatar_component_clause,[],[f2469]) ).
fof(f6255,plain,
( spl31_564
| ~ spl31_565
| spl31_566
| ~ spl31_109
| ~ spl31_305 ),
inference(avatar_split_clause,[],[f2503,f2493,f1077,f6252,f6248,f6244]) ).
fof(f6252,plain,
( spl31_566
<=> m1_subset_1(k6_lattices(sK26),u1_struct_0(k1_lattice2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_566])]) ).
fof(f2493,plain,
( spl31_305
<=> k6_lattices(sK26) = k5_lattices(k1_lattice2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_305])]) ).
fof(f2503,plain,
( m1_subset_1(k6_lattices(sK26),u1_struct_0(k1_lattice2(sK26)))
| ~ l1_lattices(k1_lattice2(sK26))
| v3_struct_0(k1_lattice2(sK26))
| ~ spl31_109
| ~ spl31_305 ),
inference(superposition,[],[f1078,f2495]) ).
fof(f2495,plain,
( k6_lattices(sK26) = k5_lattices(k1_lattice2(sK26))
| ~ spl31_305 ),
inference(avatar_component_clause,[],[f2493]) ).
fof(f6238,plain,
( ~ spl31_563
| ~ spl31_65
| ~ spl31_448 ),
inference(avatar_split_clause,[],[f4512,f4507,f832,f6235]) ).
fof(f6235,plain,
( spl31_563
<=> v1_xboole_0(k18_filter_2(sK2,sK10(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_563])]) ).
fof(f4512,plain,
( ~ v1_xboole_0(k18_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_65
| ~ spl31_448 ),
inference(resolution,[],[f4508,f833]) ).
fof(f6233,plain,
( spl31_562
| ~ spl31_261
| ~ spl31_561 ),
inference(avatar_split_clause,[],[f6228,f6224,f2167,f6230]) ).
fof(f6224,plain,
( spl31_561
<=> m2_relset_1(u2_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_561])]) ).
fof(f6228,plain,
( m2_relset_1(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ spl31_261
| ~ spl31_561 ),
inference(forward_demodulation,[],[f6226,f2169]) ).
fof(f6226,plain,
( m2_relset_1(u2_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ spl31_561 ),
inference(avatar_component_clause,[],[f6224]) ).
fof(f6227,plain,
( ~ spl31_198
| spl31_561
| ~ spl31_145
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2130,f2119,f1300,f6224,f1714]) ).
fof(f2130,plain,
( m2_relset_1(u2_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ l2_lattices(sK26)
| ~ spl31_145
| ~ spl31_256 ),
inference(superposition,[],[f1301,f2121]) ).
fof(f6222,plain,
( spl31_560
| ~ spl31_261
| ~ spl31_559 ),
inference(avatar_split_clause,[],[f6217,f6213,f2167,f6219]) ).
fof(f6213,plain,
( spl31_559
<=> v1_funct_2(u2_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_559])]) ).
fof(f6217,plain,
( v1_funct_2(u2_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ spl31_261
| ~ spl31_559 ),
inference(forward_demodulation,[],[f6215,f2169]) ).
fof(f6215,plain,
( v1_funct_2(u2_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ spl31_559 ),
inference(avatar_component_clause,[],[f6213]) ).
fof(f6216,plain,
( ~ spl31_198
| spl31_559
| ~ spl31_144
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2129,f2119,f1296,f6213,f1714]) ).
fof(f2129,plain,
( v1_funct_2(u2_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ l2_lattices(sK26)
| ~ spl31_144
| ~ spl31_256 ),
inference(superposition,[],[f1297,f2121]) ).
fof(f6207,plain,
( spl31_558
| ~ spl31_261
| ~ spl31_557 ),
inference(avatar_split_clause,[],[f6202,f6198,f2167,f6204]) ).
fof(f6198,plain,
( spl31_557
<=> m2_relset_1(u1_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_557])]) ).
fof(f6202,plain,
( m2_relset_1(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ spl31_261
| ~ spl31_557 ),
inference(forward_demodulation,[],[f6200,f2169]) ).
fof(f6200,plain,
( m2_relset_1(u1_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ spl31_557 ),
inference(avatar_component_clause,[],[f6198]) ).
fof(f6201,plain,
( ~ spl31_193
| spl31_557
| ~ spl31_142
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2128,f2119,f1287,f6198,f1689]) ).
fof(f2128,plain,
( m2_relset_1(u1_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ l1_lattices(sK26)
| ~ spl31_142
| ~ spl31_256 ),
inference(superposition,[],[f1288,f2121]) ).
fof(f6196,plain,
( spl31_556
| ~ spl31_261
| ~ spl31_555 ),
inference(avatar_split_clause,[],[f6191,f6187,f2167,f6193]) ).
fof(f6187,plain,
( spl31_555
<=> v1_funct_2(u1_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_555])]) ).
fof(f6191,plain,
( v1_funct_2(u1_lattices(sK26),k2_zfmisc_1(k1_filter_2(sK26),k1_filter_2(sK26)),k1_filter_2(sK26))
| ~ spl31_261
| ~ spl31_555 ),
inference(forward_demodulation,[],[f6189,f2169]) ).
fof(f6189,plain,
( v1_funct_2(u1_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ spl31_555 ),
inference(avatar_component_clause,[],[f6187]) ).
fof(f6190,plain,
( ~ spl31_193
| spl31_555
| ~ spl31_141
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2127,f2119,f1283,f6187,f1689]) ).
fof(f2127,plain,
( v1_funct_2(u1_lattices(sK26),k2_zfmisc_1(k17_filter_2(sK26),k17_filter_2(sK26)),k17_filter_2(sK26))
| ~ l1_lattices(sK26)
| ~ spl31_141
| ~ spl31_256 ),
inference(superposition,[],[f1284,f2121]) ).
fof(f6181,plain,
( spl31_554
| ~ spl31_258
| ~ spl31_553 ),
inference(avatar_split_clause,[],[f6176,f6172,f2149,f6178]) ).
fof(f6172,plain,
( spl31_553
<=> m2_relset_1(u2_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_553])]) ).
fof(f6176,plain,
( m2_relset_1(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ spl31_258
| ~ spl31_553 ),
inference(forward_demodulation,[],[f6174,f2151]) ).
fof(f6174,plain,
( m2_relset_1(u2_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ spl31_553 ),
inference(avatar_component_clause,[],[f6172]) ).
fof(f6175,plain,
( ~ spl31_197
| spl31_553
| ~ spl31_145
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2107,f2096,f1300,f6172,f1709]) ).
fof(f2107,plain,
( m2_relset_1(u2_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ l2_lattices(sK25)
| ~ spl31_145
| ~ spl31_255 ),
inference(superposition,[],[f1301,f2098]) ).
fof(f6170,plain,
( spl31_552
| ~ spl31_258
| ~ spl31_551 ),
inference(avatar_split_clause,[],[f6165,f6161,f2149,f6167]) ).
fof(f6161,plain,
( spl31_551
<=> v1_funct_2(u2_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_551])]) ).
fof(f6165,plain,
( v1_funct_2(u2_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ spl31_258
| ~ spl31_551 ),
inference(forward_demodulation,[],[f6163,f2151]) ).
fof(f6163,plain,
( v1_funct_2(u2_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ spl31_551 ),
inference(avatar_component_clause,[],[f6161]) ).
fof(f6164,plain,
( ~ spl31_197
| spl31_551
| ~ spl31_144
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2106,f2096,f1296,f6161,f1709]) ).
fof(f2106,plain,
( v1_funct_2(u2_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ l2_lattices(sK25)
| ~ spl31_144
| ~ spl31_255 ),
inference(superposition,[],[f1297,f2098]) ).
fof(f6155,plain,
( spl31_550
| ~ spl31_258
| ~ spl31_549 ),
inference(avatar_split_clause,[],[f6150,f6146,f2149,f6152]) ).
fof(f6146,plain,
( spl31_549
<=> m2_relset_1(u1_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_549])]) ).
fof(f6150,plain,
( m2_relset_1(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ spl31_258
| ~ spl31_549 ),
inference(forward_demodulation,[],[f6148,f2151]) ).
fof(f6148,plain,
( m2_relset_1(u1_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ spl31_549 ),
inference(avatar_component_clause,[],[f6146]) ).
fof(f6149,plain,
( ~ spl31_192
| spl31_549
| ~ spl31_142
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2105,f2096,f1287,f6146,f1684]) ).
fof(f2105,plain,
( m2_relset_1(u1_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ l1_lattices(sK25)
| ~ spl31_142
| ~ spl31_255 ),
inference(superposition,[],[f1288,f2098]) ).
fof(f6144,plain,
( spl31_548
| ~ spl31_258
| ~ spl31_547 ),
inference(avatar_split_clause,[],[f6139,f6135,f2149,f6141]) ).
fof(f6135,plain,
( spl31_547
<=> v1_funct_2(u1_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_547])]) ).
fof(f6139,plain,
( v1_funct_2(u1_lattices(sK25),k2_zfmisc_1(k1_filter_2(sK25),k1_filter_2(sK25)),k1_filter_2(sK25))
| ~ spl31_258
| ~ spl31_547 ),
inference(forward_demodulation,[],[f6137,f2151]) ).
fof(f6137,plain,
( v1_funct_2(u1_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ spl31_547 ),
inference(avatar_component_clause,[],[f6135]) ).
fof(f6138,plain,
( ~ spl31_192
| spl31_547
| ~ spl31_141
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2104,f2096,f1283,f6135,f1684]) ).
fof(f2104,plain,
( v1_funct_2(u1_lattices(sK25),k2_zfmisc_1(k17_filter_2(sK25),k17_filter_2(sK25)),k17_filter_2(sK25))
| ~ l1_lattices(sK25)
| ~ spl31_141
| ~ spl31_255 ),
inference(superposition,[],[f1284,f2098]) ).
fof(f6133,plain,
( spl31_546
| ~ spl31_90
| ~ spl31_314 ),
inference(avatar_split_clause,[],[f2660,f2598,f962,f6131]) ).
fof(f6131,plain,
( spl31_546
<=> ! [X0] :
( ~ r1_filter_2(X0,sK3(X0),sK22)
| sK3(X0) = sK22
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_546])]) ).
fof(f2660,plain,
( ! [X0] :
( ~ r1_filter_2(X0,sK3(X0),sK22)
| sK3(X0) = sK22
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_314 ),
inference(duplicate_literal_removal,[],[f2654]) ).
fof(f2654,plain,
( ! [X0] :
( ~ r1_filter_2(X0,sK3(X0),sK22)
| sK3(X0) = sK22
| v1_xboole_0(X0)
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_314 ),
inference(resolution,[],[f2599,f963]) ).
fof(f5879,plain,
( spl31_545
| ~ spl31_89
| ~ spl31_301 ),
inference(avatar_split_clause,[],[f2535,f2477,f958,f5877]) ).
fof(f5877,plain,
( spl31_545
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_545])]) ).
fof(f958,plain,
( spl31_89
<=> ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_89])]) ).
fof(f2535,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK14(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl31_89
| ~ spl31_301 ),
inference(resolution,[],[f2478,f959]) ).
fof(f959,plain,
( ! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1)
| ~ spl31_89 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f5875,plain,
( spl31_544
| ~ spl31_238
| ~ spl31_301 ),
inference(avatar_split_clause,[],[f2534,f2477,f1996,f5873]) ).
fof(f5873,plain,
( spl31_544
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_544])]) ).
fof(f1996,plain,
( spl31_238
<=> ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_238])]) ).
fof(f2534,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK13(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl31_238
| ~ spl31_301 ),
inference(resolution,[],[f2478,f1997]) ).
fof(f1997,plain,
( ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1)
| ~ spl31_238 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f5871,plain,
( spl31_543
| ~ spl31_82
| ~ spl31_291 ),
inference(avatar_split_clause,[],[f2463,f2397,f921,f5869]) ).
fof(f5869,plain,
( spl31_543
<=> ! [X0] :
( sP1(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_543])]) ).
fof(f2463,plain,
( ! [X0] :
( sP1(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) )
| ~ spl31_82
| ~ spl31_291 ),
inference(resolution,[],[f2398,f922]) ).
fof(f5867,plain,
( spl31_542
| ~ spl31_82
| ~ spl31_290 ),
inference(avatar_split_clause,[],[f2462,f2393,f921,f5865]) ).
fof(f5865,plain,
( spl31_542
<=> ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_542])]) ).
fof(f2462,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ sP1(X0) )
| ~ spl31_82
| ~ spl31_290 ),
inference(resolution,[],[f2394,f922]) ).
fof(f5863,plain,
( spl31_541
| ~ spl31_86
| ~ spl31_287 ),
inference(avatar_split_clause,[],[f2371,f2294,f946,f5861]) ).
fof(f5861,plain,
( spl31_541
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_541])]) ).
fof(f2371,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(X0,X1)) )
| ~ spl31_86
| ~ spl31_287 ),
inference(resolution,[],[f2295,f947]) ).
fof(f5859,plain,
( spl31_540
| ~ spl31_87
| ~ spl31_287 ),
inference(avatar_split_clause,[],[f2370,f2294,f950,f5857]) ).
fof(f2370,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| m1_subset_1(sK12(X0,X1),X1) )
| ~ spl31_87
| ~ spl31_287 ),
inference(resolution,[],[f2295,f951]) ).
fof(f5855,plain,
( spl31_539
| ~ spl31_86
| ~ spl31_286 ),
inference(avatar_split_clause,[],[f2360,f2290,f946,f5853]) ).
fof(f5853,plain,
( spl31_539
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_539])]) ).
fof(f2360,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK12(X0,X1)) )
| ~ spl31_86
| ~ spl31_286 ),
inference(resolution,[],[f2291,f947]) ).
fof(f5851,plain,
( spl31_538
| ~ spl31_87
| ~ spl31_286 ),
inference(avatar_split_clause,[],[f2359,f2290,f950,f5849]) ).
fof(f2359,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK12(X0,X1),X0) )
| ~ spl31_87
| ~ spl31_286 ),
inference(resolution,[],[f2291,f951]) ).
fof(f5847,plain,
( spl31_537
| ~ spl31_148
| ~ spl31_285 ),
inference(avatar_split_clause,[],[f2356,f2286,f1312,f5845]) ).
fof(f5845,plain,
( spl31_537
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(k1_filter_0(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_537])]) ).
fof(f2286,plain,
( spl31_285
<=> ! [X0] :
( m1_filter_2(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_285])]) ).
fof(f2356,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(k1_filter_0(X0),X0) )
| ~ spl31_148
| ~ spl31_285 ),
inference(duplicate_literal_removal,[],[f2350]) ).
fof(f2350,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_148
| ~ spl31_285 ),
inference(resolution,[],[f2287,f1313]) ).
fof(f2287,plain,
( ! [X0] :
( m1_filter_2(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_285 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f5843,plain,
( spl31_536
| ~ spl31_148
| ~ spl31_284 ),
inference(avatar_split_clause,[],[f2347,f2282,f1312,f5841]) ).
fof(f5841,plain,
( spl31_536
<=> ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_536])]) ).
fof(f2282,plain,
( spl31_284
<=> ! [X0] :
( m1_filter_2(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_284])]) ).
fof(f2347,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK6(X0),X0) )
| ~ spl31_148
| ~ spl31_284 ),
inference(duplicate_literal_removal,[],[f2344]) ).
fof(f2344,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_lattice4(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_148
| ~ spl31_284 ),
inference(resolution,[],[f2283,f1313]) ).
fof(f2283,plain,
( ! [X0] :
( m1_filter_2(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_284 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f5839,plain,
( spl31_535
| ~ spl31_86
| ~ spl31_271 ),
inference(avatar_split_clause,[],[f2302,f2221,f946,f5837]) ).
fof(f5837,plain,
( spl31_535
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_535])]) ).
fof(f2221,plain,
( spl31_271
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_271])]) ).
fof(f2302,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK3(X0)) )
| ~ spl31_86
| ~ spl31_271 ),
inference(resolution,[],[f2222,f947]) ).
fof(f2222,plain,
( ! [X0] :
( r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_271 ),
inference(avatar_component_clause,[],[f2221]) ).
fof(f5835,plain,
( ~ spl31_534
| ~ spl31_358
| ~ spl31_450 ),
inference(avatar_split_clause,[],[f4530,f4526,f3129,f5832]) ).
fof(f5832,plain,
( spl31_534
<=> v1_xboole_0(k2_filter_0(sK2,k5_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_534])]) ).
fof(f4530,plain,
( ~ v1_xboole_0(k2_filter_0(sK2,k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_450 ),
inference(resolution,[],[f4527,f3131]) ).
fof(f5830,plain,
( spl31_533
| ~ spl31_86
| ~ spl31_269 ),
inference(avatar_split_clause,[],[f2298,f2212,f946,f5828]) ).
fof(f5828,plain,
( spl31_533
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_533])]) ).
fof(f2298,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl31_86
| ~ spl31_269 ),
inference(resolution,[],[f2213,f947]) ).
fof(f5826,plain,
( spl31_532
| ~ spl31_235
| ~ spl31_250 ),
inference(avatar_split_clause,[],[f2202,f2071,f1984,f5824]) ).
fof(f2202,plain,
( ! [X0] :
( m1_subset_1(sK10(sK3(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK3(X0)) )
| ~ spl31_235
| ~ spl31_250 ),
inference(resolution,[],[f2072,f1985]) ).
fof(f5820,plain,
( spl31_28
| ~ spl31_36
| ~ spl31_27
| spl31_531
| ~ spl31_118
| ~ spl31_261 ),
inference(avatar_split_clause,[],[f2171,f2167,f1128,f5817,f657,f702,f662]) ).
fof(f5817,plain,
( spl31_531
<=> m2_filter_2(k1_filter_2(sK26),sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_531])]) ).
fof(f2171,plain,
( m2_filter_2(k1_filter_2(sK26),sK26)
| ~ l3_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_118
| ~ spl31_261 ),
inference(superposition,[],[f1129,f2169]) ).
fof(f5813,plain,
( spl31_18
| ~ spl31_26
| ~ spl31_17
| spl31_530
| ~ spl31_118
| ~ spl31_258 ),
inference(avatar_split_clause,[],[f2153,f2149,f1128,f5810,f607,f652,f612]) ).
fof(f5810,plain,
( spl31_530
<=> m2_filter_2(k1_filter_2(sK25),sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_530])]) ).
fof(f2153,plain,
( m2_filter_2(k1_filter_2(sK25),sK25)
| ~ l3_lattices(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_118
| ~ spl31_258 ),
inference(superposition,[],[f1129,f2151]) ).
fof(f5798,plain,
( spl31_529
| ~ spl31_261
| ~ spl31_528 ),
inference(avatar_split_clause,[],[f5793,f5789,f2167,f5795]) ).
fof(f5795,plain,
( spl31_529
<=> m1_subset_1(sK4(sK26),k1_zfmisc_1(k1_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_529])]) ).
fof(f5789,plain,
( spl31_528
<=> m1_subset_1(sK4(sK26),k1_zfmisc_1(k17_filter_2(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_528])]) ).
fof(f5793,plain,
( m1_subset_1(sK4(sK26),k1_zfmisc_1(k1_filter_2(sK26)))
| ~ spl31_261
| ~ spl31_528 ),
inference(forward_demodulation,[],[f5791,f2169]) ).
fof(f5791,plain,
( m1_subset_1(sK4(sK26),k1_zfmisc_1(k17_filter_2(sK26)))
| ~ spl31_528 ),
inference(avatar_component_clause,[],[f5789]) ).
fof(f5792,plain,
( spl31_28
| ~ spl31_268
| spl31_528
| ~ spl31_117
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2126,f2119,f1124,f5789,f2197,f662]) ).
fof(f2197,plain,
( spl31_268
<=> l1_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_268])]) ).
fof(f2126,plain,
( m1_subset_1(sK4(sK26),k1_zfmisc_1(k17_filter_2(sK26)))
| ~ l1_struct_0(sK26)
| v3_struct_0(sK26)
| ~ spl31_117
| ~ spl31_256 ),
inference(superposition,[],[f1125,f2121]) ).
fof(f5777,plain,
( ~ spl31_527
| ~ spl31_315
| ~ spl31_450 ),
inference(avatar_split_clause,[],[f4529,f4526,f2662,f5774]) ).
fof(f5774,plain,
( spl31_527
<=> v1_xboole_0(k2_filter_0(sK2,k6_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_527])]) ).
fof(f4529,plain,
( ~ v1_xboole_0(k2_filter_0(sK2,k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_450 ),
inference(resolution,[],[f4527,f2664]) ).
fof(f5772,plain,
( spl31_526
| ~ spl31_258
| ~ spl31_525 ),
inference(avatar_split_clause,[],[f5767,f5763,f2149,f5769]) ).
fof(f5769,plain,
( spl31_526
<=> m1_subset_1(sK4(sK25),k1_zfmisc_1(k1_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_526])]) ).
fof(f5763,plain,
( spl31_525
<=> m1_subset_1(sK4(sK25),k1_zfmisc_1(k17_filter_2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_525])]) ).
fof(f5767,plain,
( m1_subset_1(sK4(sK25),k1_zfmisc_1(k1_filter_2(sK25)))
| ~ spl31_258
| ~ spl31_525 ),
inference(forward_demodulation,[],[f5765,f2151]) ).
fof(f5765,plain,
( m1_subset_1(sK4(sK25),k1_zfmisc_1(k17_filter_2(sK25)))
| ~ spl31_525 ),
inference(avatar_component_clause,[],[f5763]) ).
fof(f5766,plain,
( spl31_18
| ~ spl31_259
| spl31_525
| ~ spl31_117
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2103,f2096,f1124,f5763,f2155,f612]) ).
fof(f2155,plain,
( spl31_259
<=> l1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_259])]) ).
fof(f2103,plain,
( m1_subset_1(sK4(sK25),k1_zfmisc_1(k17_filter_2(sK25)))
| ~ l1_struct_0(sK25)
| v3_struct_0(sK25)
| ~ spl31_117
| ~ spl31_255 ),
inference(superposition,[],[f1125,f2098]) ).
fof(f5761,plain,
( spl31_524
| ~ spl31_235
| ~ spl31_246 ),
inference(avatar_split_clause,[],[f2059,f2051,f1984,f5759]) ).
fof(f2059,plain,
( ! [X0] :
( m1_subset_1(sK10(sK10(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) )
| ~ spl31_235
| ~ spl31_246 ),
inference(resolution,[],[f2052,f1985]) ).
fof(f5724,plain,
( spl31_523
| ~ spl31_187
| ~ spl31_208 ),
inference(avatar_split_clause,[],[f1828,f1820,f1659,f5722]) ).
fof(f5722,plain,
( spl31_523
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| k1_filter_2(sK2) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_523])]) ).
fof(f1828,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| k1_filter_2(sK2) = X0
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_187
| ~ spl31_208 ),
inference(superposition,[],[f1660,f1822]) ).
fof(f5720,plain,
( spl31_522
| ~ spl31_188
| ~ spl31_208 ),
inference(avatar_split_clause,[],[f1826,f1820,f1663,f5718]) ).
fof(f5718,plain,
( spl31_522
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_lattices(sK2) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_522])]) ).
fof(f1826,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_lattices(sK2) = X1
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_188
| ~ spl31_208 ),
inference(superposition,[],[f1664,f1822]) ).
fof(f5716,plain,
( spl31_521
| ~ spl31_189
| ~ spl31_208 ),
inference(avatar_split_clause,[],[f1824,f1820,f1667,f5714]) ).
fof(f5714,plain,
( spl31_521
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u2_lattices(sK2) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_521])]) ).
fof(f1824,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u2_lattices(sK2) = X2
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_189
| ~ spl31_208 ),
inference(superposition,[],[f1668,f1822]) ).
fof(f5699,plain,
( ~ spl31_520
| ~ spl31_358
| ~ spl31_448 ),
inference(avatar_split_clause,[],[f4511,f4507,f3129,f5696]) ).
fof(f5696,plain,
( spl31_520
<=> v1_xboole_0(k18_filter_2(sK2,k5_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_520])]) ).
fof(f4511,plain,
( ~ v1_xboole_0(k18_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_358
| ~ spl31_448 ),
inference(resolution,[],[f4508,f3131]) ).
fof(f5673,plain,
( spl31_519
| ~ spl31_89
| ~ spl31_292 ),
inference(avatar_split_clause,[],[f2467,f2401,f958,f5671]) ).
fof(f5671,plain,
( spl31_519
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_519])]) ).
fof(f2467,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK14(X0,X1)) )
| ~ spl31_89
| ~ spl31_292 ),
inference(resolution,[],[f2402,f959]) ).
fof(f5669,plain,
( spl31_518
| ~ spl31_238
| ~ spl31_292 ),
inference(avatar_split_clause,[],[f2466,f2401,f1996,f5667]) ).
fof(f5667,plain,
( spl31_518
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_518])]) ).
fof(f2466,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK13(X0,X1)) )
| ~ spl31_238
| ~ spl31_292 ),
inference(resolution,[],[f2402,f1997]) ).
fof(f5665,plain,
( spl31_517
| ~ spl31_243
| ~ spl31_286 ),
inference(avatar_split_clause,[],[f2366,f2290,f2031,f5663]) ).
fof(f5663,plain,
( spl31_517
<=> ! [X0,X1] :
( sK10(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_517])]) ).
fof(f2366,plain,
( ! [X0,X1] :
( sK10(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) )
| ~ spl31_243
| ~ spl31_286 ),
inference(resolution,[],[f2291,f2032]) ).
fof(f5660,plain,
( spl31_516
| ~ spl31_261
| ~ spl31_515 ),
inference(avatar_split_clause,[],[f5655,f5651,f2167,f5657]) ).
fof(f5651,plain,
( spl31_515
<=> m1_subset_1(k5_lattices(sK26),k17_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_515])]) ).
fof(f5655,plain,
( m1_subset_1(k5_lattices(sK26),k1_filter_2(sK26))
| ~ spl31_261
| ~ spl31_515 ),
inference(forward_demodulation,[],[f5653,f2169]) ).
fof(f5653,plain,
( m1_subset_1(k5_lattices(sK26),k17_filter_2(sK26))
| ~ spl31_515 ),
inference(avatar_component_clause,[],[f5651]) ).
fof(f5654,plain,
( spl31_28
| ~ spl31_193
| spl31_515
| ~ spl31_109
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2125,f2119,f1077,f5651,f1689,f662]) ).
fof(f2125,plain,
( m1_subset_1(k5_lattices(sK26),k17_filter_2(sK26))
| ~ l1_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_109
| ~ spl31_256 ),
inference(superposition,[],[f1078,f2121]) ).
fof(f5648,plain,
( spl31_514
| ~ spl31_261
| ~ spl31_512 ),
inference(avatar_split_clause,[],[f5638,f5634,f2167,f5645]) ).
fof(f5634,plain,
( spl31_512
<=> m1_subset_1(k6_lattices(sK26),k17_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_512])]) ).
fof(f5638,plain,
( m1_subset_1(k6_lattices(sK26),k1_filter_2(sK26))
| ~ spl31_261
| ~ spl31_512 ),
inference(forward_demodulation,[],[f5636,f2169]) ).
fof(f5636,plain,
( m1_subset_1(k6_lattices(sK26),k17_filter_2(sK26))
| ~ spl31_512 ),
inference(avatar_component_clause,[],[f5634]) ).
fof(f5643,plain,
( ~ spl31_513
| ~ spl31_315
| ~ spl31_448 ),
inference(avatar_split_clause,[],[f4510,f4507,f2662,f5640]) ).
fof(f5640,plain,
( spl31_513
<=> v1_xboole_0(k18_filter_2(sK2,k6_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_513])]) ).
fof(f4510,plain,
( ~ v1_xboole_0(k18_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_315
| ~ spl31_448 ),
inference(resolution,[],[f4508,f2664]) ).
fof(f5637,plain,
( spl31_28
| ~ spl31_198
| spl31_512
| ~ spl31_108
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2124,f2119,f1073,f5634,f1714,f662]) ).
fof(f2124,plain,
( m1_subset_1(k6_lattices(sK26),k17_filter_2(sK26))
| ~ l2_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_108
| ~ spl31_256 ),
inference(superposition,[],[f1074,f2121]) ).
fof(f5631,plain,
( spl31_511
| ~ spl31_258
| ~ spl31_510 ),
inference(avatar_split_clause,[],[f5626,f5622,f2149,f5628]) ).
fof(f5622,plain,
( spl31_510
<=> m1_subset_1(k5_lattices(sK25),k17_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_510])]) ).
fof(f5626,plain,
( m1_subset_1(k5_lattices(sK25),k1_filter_2(sK25))
| ~ spl31_258
| ~ spl31_510 ),
inference(forward_demodulation,[],[f5624,f2151]) ).
fof(f5624,plain,
( m1_subset_1(k5_lattices(sK25),k17_filter_2(sK25))
| ~ spl31_510 ),
inference(avatar_component_clause,[],[f5622]) ).
fof(f5625,plain,
( spl31_18
| ~ spl31_192
| spl31_510
| ~ spl31_109
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2102,f2096,f1077,f5622,f1684,f612]) ).
fof(f2102,plain,
( m1_subset_1(k5_lattices(sK25),k17_filter_2(sK25))
| ~ l1_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_109
| ~ spl31_255 ),
inference(superposition,[],[f1078,f2098]) ).
fof(f5619,plain,
( spl31_509
| ~ spl31_258
| ~ spl31_508 ),
inference(avatar_split_clause,[],[f5614,f5610,f2149,f5616]) ).
fof(f5610,plain,
( spl31_508
<=> m1_subset_1(k6_lattices(sK25),k17_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_508])]) ).
fof(f5614,plain,
( m1_subset_1(k6_lattices(sK25),k1_filter_2(sK25))
| ~ spl31_258
| ~ spl31_508 ),
inference(forward_demodulation,[],[f5612,f2151]) ).
fof(f5612,plain,
( m1_subset_1(k6_lattices(sK25),k17_filter_2(sK25))
| ~ spl31_508 ),
inference(avatar_component_clause,[],[f5610]) ).
fof(f5613,plain,
( spl31_18
| ~ spl31_197
| spl31_508
| ~ spl31_108
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2101,f2096,f1073,f5610,f1709,f612]) ).
fof(f2101,plain,
( m1_subset_1(k6_lattices(sK25),k17_filter_2(sK25))
| ~ l2_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_108
| ~ spl31_255 ),
inference(superposition,[],[f1074,f2098]) ).
fof(f5592,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_507
| ~ spl31_206
| ~ spl31_417 ),
inference(avatar_split_clause,[],[f4090,f4044,f1786,f5590,f5076,f5072,f4295,f537,f532,f527]) ).
fof(f1786,plain,
( spl31_206
<=> u1_struct_0(sK2) = k1_filter_2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_206])]) ).
fof(f4090,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k18_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_206
| ~ spl31_417 ),
inference(superposition,[],[f4045,f1788]) ).
fof(f1788,plain,
( u1_struct_0(sK2) = k1_filter_2(sK2)
| ~ spl31_206 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f5572,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_506
| ~ spl31_206
| ~ spl31_416 ),
inference(avatar_split_clause,[],[f4071,f4040,f1786,f5570,f5076,f5072,f4295,f537,f532,f527]) ).
fof(f4071,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k2_filter_2(k1_lattice2(k1_lattice2(sK2)),k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_206
| ~ spl31_416 ),
inference(superposition,[],[f4041,f1788]) ).
fof(f5566,plain,
( ~ spl31_2
| spl31_1
| ~ spl31_131
| ~ spl31_143
| ~ spl31_151
| ~ spl31_3
| spl31_505
| ~ spl31_206
| ~ spl31_414 ),
inference(avatar_split_clause,[],[f4024,f4008,f1786,f5564,f537,f1325,f1291,f1188,f527,f532]) ).
fof(f1188,plain,
( spl31_131
<=> v6_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_131])]) ).
fof(f1291,plain,
( spl31_143
<=> v8_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_143])]) ).
fof(f1325,plain,
( spl31_151
<=> v9_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_151])]) ).
fof(f4024,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK15(X0,sK2,X1),k1_filter_2(sK2))
| r1_lattices(sK2,X1,sK15(X0,sK2,X1))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v9_lattices(sK2)
| ~ v8_lattices(sK2)
| ~ v6_lattices(sK2)
| v3_struct_0(sK2)
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ v10_lattices(sK2) )
| ~ spl31_206
| ~ spl31_414 ),
inference(superposition,[],[f4009,f1788]) ).
fof(f5560,plain,
( ~ spl31_2
| spl31_1
| ~ spl31_131
| ~ spl31_143
| ~ spl31_151
| ~ spl31_3
| spl31_504
| ~ spl31_206
| ~ spl31_413 ),
inference(avatar_split_clause,[],[f4012,f4004,f1786,f5558,f537,f1325,f1291,f1188,f527,f532]) ).
fof(f4012,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK16(X0,sK2,X1),k1_filter_2(sK2))
| ~ m1_subset_1(X1,k1_filter_2(sK2))
| r1_lattices(sK2,sK16(X0,sK2,X1),X1)
| ~ l3_lattices(sK2)
| ~ v9_lattices(sK2)
| ~ v8_lattices(sK2)
| ~ v6_lattices(sK2)
| v3_struct_0(sK2)
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ v10_lattices(sK2) )
| ~ spl31_206
| ~ spl31_413 ),
inference(superposition,[],[f4005,f1788]) ).
fof(f5506,plain,
( spl31_503
| ~ spl31_153
| ~ spl31_220 ),
inference(avatar_split_clause,[],[f1892,f1888,f1358,f5504]) ).
fof(f5504,plain,
( spl31_503
<=> ! [X0] :
( r2_hidden(sK12(sK22,X0),X0)
| sK22 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_503])]) ).
fof(f1892,plain,
( ! [X0] :
( r2_hidden(sK12(sK22,X0),X0)
| sK22 = X0 )
| ~ spl31_153
| ~ spl31_220 ),
inference(resolution,[],[f1889,f1359]) ).
fof(f5489,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_502
| ~ spl31_206
| ~ spl31_412 ),
inference(avatar_split_clause,[],[f3992,f3943,f1786,f5487,f537,f532,f527,f5076,f5072,f4295]) ).
fof(f3992,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = a_2_0_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) )
| ~ spl31_206
| ~ spl31_412 ),
inference(superposition,[],[f3944,f1788]) ).
fof(f5465,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_501
| ~ spl31_206
| ~ spl31_411 ),
inference(avatar_split_clause,[],[f3973,f3939,f1786,f5463,f537,f532,f527,f5076,f5072,f4295]) ).
fof(f3973,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = a_2_0_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) )
| ~ spl31_206
| ~ spl31_411 ),
inference(superposition,[],[f3940,f1788]) ).
fof(f5448,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_500
| ~ spl31_206
| ~ spl31_410 ),
inference(avatar_split_clause,[],[f3954,f3935,f1786,f5446,f537,f532,f527,f5076,f5072,f4295]) ).
fof(f3954,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0)) = k2_filter_0(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) )
| ~ spl31_206
| ~ spl31_410 ),
inference(superposition,[],[f3936,f1788]) ).
fof(f5414,plain,
( spl31_499
| ~ spl31_56
| ~ spl31_496 ),
inference(avatar_split_clause,[],[f5260,f5076,f796,f5411]) ).
fof(f5411,plain,
( spl31_499
<=> l2_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_499])]) ).
fof(f5260,plain,
( l2_lattices(k1_lattice2(sK2))
| ~ spl31_56
| ~ spl31_496 ),
inference(resolution,[],[f5077,f797]) ).
fof(f5138,plain,
( ~ spl31_3
| ~ spl31_72
| spl31_496 ),
inference(avatar_split_clause,[],[f5090,f5076,f880,f537]) ).
fof(f5090,plain,
( ~ l3_lattices(sK2)
| ~ spl31_72
| spl31_496 ),
inference(resolution,[],[f5078,f881]) ).
fof(f5078,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| spl31_496 ),
inference(avatar_component_clause,[],[f5076]) ).
fof(f5137,plain,
( spl31_218
| ~ spl31_73
| ~ spl31_211 ),
inference(avatar_split_clause,[],[f5103,f1843,f884,f1881]) ).
fof(f884,plain,
( spl31_73
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_73])]) ).
fof(f1843,plain,
( spl31_211
<=> k1_xboole_0 = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_211])]) ).
fof(f5103,plain,
( ! [X0] :
( sK22 = X0
| ~ v1_xboole_0(X0) )
| ~ spl31_73
| ~ spl31_211 ),
inference(forward_demodulation,[],[f885,f1845]) ).
fof(f1845,plain,
( k1_xboole_0 = sK22
| ~ spl31_211 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f885,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl31_73 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f5102,plain,
( ~ spl31_5
| ~ spl31_219 ),
inference(avatar_contradiction_clause,[],[f5095]) ).
fof(f5095,plain,
( $false
| ~ spl31_5
| ~ spl31_219 ),
inference(resolution,[],[f1886,f549]) ).
fof(f549,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl31_5 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl31_5
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).
fof(f1886,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl31_219 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1885,plain,
( spl31_219
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_219])]) ).
fof(f5101,plain,
( ~ spl31_51
| ~ spl31_219 ),
inference(avatar_contradiction_clause,[],[f5096]) ).
fof(f5096,plain,
( $false
| ~ spl31_51
| ~ spl31_219 ),
inference(resolution,[],[f1886,f777]) ).
fof(f777,plain,
( ! [X0] : v1_xboole_0(sK11(X0))
| ~ spl31_51 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f776,plain,
( spl31_51
<=> ! [X0] : v1_xboole_0(sK11(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_51])]) ).
fof(f5100,plain,
( ~ spl31_11
| ~ spl31_219 ),
inference(avatar_contradiction_clause,[],[f5097]) ).
fof(f5097,plain,
( $false
| ~ spl31_11
| ~ spl31_219 ),
inference(resolution,[],[f1886,f579]) ).
fof(f579,plain,
( v1_xboole_0(sK22)
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl31_11
<=> v1_xboole_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_11])]) ).
fof(f5099,plain,
( ~ spl31_47
| ~ spl31_219 ),
inference(avatar_contradiction_clause,[],[f5098]) ).
fof(f5098,plain,
( $false
| ~ spl31_47
| ~ spl31_219 ),
inference(resolution,[],[f1886,f759]) ).
fof(f759,plain,
( v1_xboole_0(sK30)
| ~ spl31_47 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl31_47
<=> v1_xboole_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_47])]) ).
fof(f5094,plain,
( spl31_498
| ~ spl31_153
| ~ spl31_220 ),
inference(avatar_split_clause,[],[f1891,f1888,f1358,f5092]) ).
fof(f1891,plain,
( ! [X0] :
( r2_hidden(sK12(X0,sK22),X0)
| sK22 = X0 )
| ~ spl31_153
| ~ spl31_220 ),
inference(resolution,[],[f1889,f1359]) ).
fof(f5084,plain,
( ~ spl31_185
| ~ spl31_82
| spl31_495 ),
inference(avatar_split_clause,[],[f5083,f5072,f921,f1647]) ).
fof(f1647,plain,
( spl31_185
<=> sP1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_185])]) ).
fof(f5083,plain,
( ~ sP1(sK2)
| ~ spl31_82
| spl31_495 ),
inference(resolution,[],[f5074,f922]) ).
fof(f5074,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| spl31_495 ),
inference(avatar_component_clause,[],[f5072]) ).
fof(f5082,plain,
( spl31_438
| ~ spl31_495
| ~ spl31_496
| spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_497
| ~ spl31_206
| ~ spl31_405 ),
inference(avatar_split_clause,[],[f3861,f3850,f1786,f5080,f537,f532,f527,f5076,f5072,f4295]) ).
fof(f3861,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k5_filter_2(sK2,X0) = k5_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2)) )
| ~ spl31_206
| ~ spl31_405 ),
inference(superposition,[],[f3851,f1788]) ).
fof(f5070,plain,
( ~ spl31_494
| ~ spl31_261
| spl31_493 ),
inference(avatar_split_clause,[],[f5065,f5061,f2167,f5067]) ).
fof(f5067,plain,
( spl31_494
<=> v1_xboole_0(k1_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_494])]) ).
fof(f5061,plain,
( spl31_493
<=> v1_xboole_0(k17_filter_2(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_493])]) ).
fof(f5065,plain,
( ~ v1_xboole_0(k1_filter_2(sK26))
| ~ spl31_261
| spl31_493 ),
inference(forward_demodulation,[],[f5063,f2169]) ).
fof(f5063,plain,
( ~ v1_xboole_0(k17_filter_2(sK26))
| spl31_493 ),
inference(avatar_component_clause,[],[f5061]) ).
fof(f5064,plain,
( spl31_28
| ~ spl31_268
| ~ spl31_493
| ~ spl31_91
| ~ spl31_256 ),
inference(avatar_split_clause,[],[f2123,f2119,f966,f5061,f2197,f662]) ).
fof(f966,plain,
( spl31_91
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_91])]) ).
fof(f2123,plain,
( ~ v1_xboole_0(k17_filter_2(sK26))
| ~ l1_struct_0(sK26)
| v3_struct_0(sK26)
| ~ spl31_91
| ~ spl31_256 ),
inference(superposition,[],[f967,f2121]) ).
fof(f967,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_91 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f5059,plain,
( ~ spl31_492
| ~ spl31_258
| spl31_491 ),
inference(avatar_split_clause,[],[f5054,f5050,f2149,f5056]) ).
fof(f5056,plain,
( spl31_492
<=> v1_xboole_0(k1_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_492])]) ).
fof(f5050,plain,
( spl31_491
<=> v1_xboole_0(k17_filter_2(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_491])]) ).
fof(f5054,plain,
( ~ v1_xboole_0(k1_filter_2(sK25))
| ~ spl31_258
| spl31_491 ),
inference(forward_demodulation,[],[f5052,f2151]) ).
fof(f5052,plain,
( ~ v1_xboole_0(k17_filter_2(sK25))
| spl31_491 ),
inference(avatar_component_clause,[],[f5050]) ).
fof(f5053,plain,
( spl31_18
| ~ spl31_259
| ~ spl31_491
| ~ spl31_91
| ~ spl31_255 ),
inference(avatar_split_clause,[],[f2100,f2096,f966,f5050,f2155,f612]) ).
fof(f2100,plain,
( ~ v1_xboole_0(k17_filter_2(sK25))
| ~ l1_struct_0(sK25)
| v3_struct_0(sK25)
| ~ spl31_91
| ~ spl31_255 ),
inference(superposition,[],[f967,f2098]) ).
fof(f5043,plain,
( spl31_490
| ~ spl31_235
| ~ spl31_243 ),
inference(avatar_split_clause,[],[f2038,f2031,f1984,f5041]) ).
fof(f2038,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK10(k1_zfmisc_1(X0))) )
| ~ spl31_235
| ~ spl31_243 ),
inference(resolution,[],[f2032,f1985]) ).
fof(f5039,plain,
( spl31_489
| ~ spl31_86
| ~ spl31_235 ),
inference(avatar_split_clause,[],[f2008,f1984,f946,f5037]) ).
fof(f5037,plain,
( spl31_489
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_489])]) ).
fof(f2008,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK10(X0)) )
| ~ spl31_86
| ~ spl31_235 ),
inference(resolution,[],[f1985,f947]) ).
fof(f5024,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_488
| ~ spl31_177
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4331,f1854,f1756,f1566,f5022,f537,f532,f527]) ).
fof(f4331,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK2))
| m1_subset_1(sK16(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_177
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f4330,f1856]) ).
fof(f4330,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_177
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1778,f1856]) ).
fof(f1778,plain,
( ! [X0,X1] :
( m1_subset_1(sK16(X0,sK2,X1),k17_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_2(sK2,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_177
| ~ spl31_204 ),
inference(superposition,[],[f1567,f1758]) ).
fof(f5009,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_487
| ~ spl31_175
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4329,f1854,f1756,f1558,f5007,f537,f532,f527]) ).
fof(f4329,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_filter_2(sK2))
| m1_subset_1(sK15(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_175
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f4328,f1856]) ).
fof(f4328,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK2,X1),k1_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_175
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1777,f1856]) ).
fof(f1777,plain,
( ! [X0,X1] :
( m1_subset_1(sK15(X0,sK2,X1),k17_filter_2(sK2))
| ~ r2_hidden(X0,a_2_0_filter_0(sK2,X1))
| ~ m1_subset_1(X1,k17_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_175
| ~ spl31_204 ),
inference(superposition,[],[f1559,f1758]) ).
fof(f5005,plain,
( spl31_486
| ~ spl31_142
| ~ spl31_239 ),
inference(avatar_split_clause,[],[f2019,f2000,f1287,f5003]) ).
fof(f5003,plain,
( spl31_486
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_486])]) ).
fof(f2019,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl31_142
| ~ spl31_239 ),
inference(resolution,[],[f2001,f1288]) ).
fof(f5001,plain,
( spl31_1
| ~ spl31_85
| ~ spl31_92
| ~ spl31_426 ),
inference(avatar_split_clause,[],[f4942,f4225,f970,f941,f527]) ).
fof(f941,plain,
( spl31_85
<=> l1_struct_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_85])]) ).
fof(f970,plain,
( spl31_92
<=> ! [X0] :
( ~ v1_xboole_0(sK4(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_92])]) ).
fof(f4225,plain,
( spl31_426
<=> v1_xboole_0(sK4(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_426])]) ).
fof(f4942,plain,
( ~ l1_struct_0(sK2)
| v3_struct_0(sK2)
| ~ spl31_92
| ~ spl31_426 ),
inference(resolution,[],[f4227,f971]) ).
fof(f971,plain,
( ! [X0] :
( ~ v1_xboole_0(sK4(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_92 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f4227,plain,
( v1_xboole_0(sK4(sK2))
| ~ spl31_426 ),
inference(avatar_component_clause,[],[f4225]) ).
fof(f5000,plain,
( spl31_485
| ~ spl31_145
| ~ spl31_239 ),
inference(avatar_split_clause,[],[f2018,f2000,f1300,f4998]) ).
fof(f4998,plain,
( spl31_485
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_485])]) ).
fof(f2018,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl31_145
| ~ spl31_239 ),
inference(resolution,[],[f2001,f1301]) ).
fof(f4996,plain,
( spl31_484
| ~ spl31_54
| ~ spl31_216 ),
inference(avatar_split_clause,[],[f1893,f1873,f788,f4994]) ).
fof(f4994,plain,
( spl31_484
<=> ! [X0] :
( ~ l3_lattices(X0)
| l1_struct_0(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_484])]) ).
fof(f788,plain,
( spl31_54
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_54])]) ).
fof(f1893,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_struct_0(k1_lattice2(X0)) )
| ~ spl31_54
| ~ spl31_216 ),
inference(resolution,[],[f1874,f789]) ).
fof(f789,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) )
| ~ spl31_54 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f4981,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_483
| ~ spl31_171
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4327,f1854,f1756,f1526,f4979,f537,f532,f527]) ).
fof(f4327,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_2(sK2,X0) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_171
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1776,f1856]) ).
fof(f1776,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| k2_filter_2(sK2,X0) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_171
| ~ spl31_204 ),
inference(superposition,[],[f1527,f1758]) ).
fof(f4969,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_482
| ~ spl31_170
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4326,f1854,f1756,f1522,f4967,f537,f532,f527]) ).
fof(f4326,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(sK2,X0) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_170
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1775,f1856]) ).
fof(f1775,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| k18_filter_2(sK2,X0) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,X0))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_170
| ~ spl31_204 ),
inference(superposition,[],[f1523,f1758]) ).
fof(f4963,plain,
( spl31_481
| ~ spl31_447
| ~ spl31_459
| ~ spl31_480 ),
inference(avatar_split_clause,[],[f4958,f4953,f4784,f4500,f4960]) ).
fof(f4784,plain,
( spl31_459
<=> k2_filter_0(sK2,k6_lattices(sK2)) = k2_filter_2(sK2,k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_459])]) ).
fof(f4953,plain,
( spl31_480
<=> k2_filter_2(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_480])]) ).
fof(f4958,plain,
( k2_filter_0(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_447
| ~ spl31_459
| ~ spl31_480 ),
inference(forward_demodulation,[],[f4957,f4786]) ).
fof(f4786,plain,
( k2_filter_0(sK2,k6_lattices(sK2)) = k2_filter_2(sK2,k6_lattices(sK2))
| ~ spl31_459 ),
inference(avatar_component_clause,[],[f4784]) ).
fof(f4957,plain,
( k2_filter_2(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_447
| ~ spl31_480 ),
inference(forward_demodulation,[],[f4955,f4502]) ).
fof(f4955,plain,
( k2_filter_2(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_480 ),
inference(avatar_component_clause,[],[f4953]) ).
fof(f4956,plain,
( spl31_480
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_69
| ~ spl31_372 ),
inference(avatar_split_clause,[],[f3387,f3330,f867,f537,f532,f527,f4953]) ).
fof(f3387,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_2(sK2,k6_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_69
| ~ spl31_372 ),
inference(resolution,[],[f3331,f869]) ).
fof(f869,plain,
( l2_lattices(sK2)
| ~ spl31_69 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f4941,plain,
( spl31_479
| ~ spl31_446
| ~ spl31_458
| ~ spl31_478 ),
inference(avatar_split_clause,[],[f4936,f4931,f4776,f4489,f4938]) ).
fof(f4776,plain,
( spl31_458
<=> k2_filter_0(sK2,k5_lattices(sK2)) = k2_filter_2(sK2,k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_458])]) ).
fof(f4931,plain,
( spl31_478
<=> k2_filter_2(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_478])]) ).
fof(f4936,plain,
( k2_filter_0(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_446
| ~ spl31_458
| ~ spl31_478 ),
inference(forward_demodulation,[],[f4935,f4778]) ).
fof(f4778,plain,
( k2_filter_0(sK2,k5_lattices(sK2)) = k2_filter_2(sK2,k5_lattices(sK2))
| ~ spl31_458 ),
inference(avatar_component_clause,[],[f4776]) ).
fof(f4935,plain,
( k2_filter_2(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_446
| ~ spl31_478 ),
inference(forward_demodulation,[],[f4933,f4491]) ).
fof(f4933,plain,
( k2_filter_2(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_478 ),
inference(avatar_component_clause,[],[f4931]) ).
fof(f4934,plain,
( spl31_478
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_66
| ~ spl31_371 ),
inference(avatar_split_clause,[],[f3379,f3326,f850,f537,f532,f527,f4931]) ).
fof(f3379,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_2(sK2,k5_lattices(sK2)) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_66
| ~ spl31_371 ),
inference(resolution,[],[f3327,f852]) ).
fof(f852,plain,
( l1_lattices(sK2)
| ~ spl31_66 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f4927,plain,
( spl31_477
| ~ spl31_441
| ~ spl31_445
| ~ spl31_476 ),
inference(avatar_split_clause,[],[f4922,f4917,f4389,f4309,f4924]) ).
fof(f4917,plain,
( spl31_476
<=> k2_filter_2(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_476])]) ).
fof(f4922,plain,
( k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_441
| ~ spl31_445
| ~ spl31_476 ),
inference(forward_demodulation,[],[f4921,f4391]) ).
fof(f4921,plain,
( k2_filter_2(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_441
| ~ spl31_476 ),
inference(forward_demodulation,[],[f4919,f4311]) ).
fof(f4919,plain,
( k2_filter_2(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_476 ),
inference(avatar_component_clause,[],[f4917]) ).
fof(f4920,plain,
( spl31_1
| ~ spl31_2
| spl31_476
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_370 ),
inference(avatar_split_clause,[],[f3373,f3322,f1854,f1756,f537,f4917,f532,f527]) ).
fof(f3373,plain,
( k2_filter_2(sK2,sK10(k1_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_370 ),
inference(forward_demodulation,[],[f3372,f1856]) ).
fof(f3372,plain,
( k2_filter_2(sK2,sK10(k17_filter_2(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k17_filter_2(sK2))))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_370 ),
inference(forward_demodulation,[],[f3366,f1758]) ).
fof(f3366,plain,
( k2_filter_2(sK2,sK10(u1_struct_0(sK2))) = k18_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(u1_struct_0(sK2))))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_370 ),
inference(resolution,[],[f3323,f539]) ).
fof(f4912,plain,
( spl31_475
| ~ spl31_447
| ~ spl31_474 ),
inference(avatar_split_clause,[],[f4907,f4903,f4500,f4909]) ).
fof(f4903,plain,
( spl31_474
<=> k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_474])]) ).
fof(f4907,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k6_lattices(sK2))
| ~ spl31_447
| ~ spl31_474 ),
inference(forward_demodulation,[],[f4905,f4502]) ).
fof(f4905,plain,
( k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_474 ),
inference(avatar_component_clause,[],[f4903]) ).
fof(f4906,plain,
( spl31_474
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_69
| ~ spl31_369 ),
inference(avatar_split_clause,[],[f3358,f3318,f867,f537,f532,f527,f4903]) ).
fof(f3358,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k18_filter_2(sK2,k6_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k6_lattices(sK2)))
| ~ spl31_69
| ~ spl31_369 ),
inference(resolution,[],[f3319,f869]) ).
fof(f4898,plain,
( spl31_473
| ~ spl31_446
| ~ spl31_472 ),
inference(avatar_split_clause,[],[f4893,f4889,f4489,f4895]) ).
fof(f4889,plain,
( spl31_472
<=> k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_472])]) ).
fof(f4893,plain,
( k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_lattices(sK2))
| ~ spl31_446
| ~ spl31_472 ),
inference(forward_demodulation,[],[f4891,f4491]) ).
fof(f4891,plain,
( k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_472 ),
inference(avatar_component_clause,[],[f4889]) ).
fof(f4892,plain,
( spl31_472
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_66
| ~ spl31_368 ),
inference(avatar_split_clause,[],[f3347,f3314,f850,f537,f532,f527,f4889]) ).
fof(f3347,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k18_filter_2(sK2,k5_lattices(sK2)) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,k5_lattices(sK2)))
| ~ spl31_66
| ~ spl31_368 ),
inference(resolution,[],[f3315,f852]) ).
fof(f4884,plain,
( spl31_471
| ~ spl31_441
| ~ spl31_470 ),
inference(avatar_split_clause,[],[f4879,f4875,f4309,f4881]) ).
fof(f4875,plain,
( spl31_470
<=> k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_470])]) ).
fof(f4879,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),sK10(k1_filter_2(sK2)))
| ~ spl31_441
| ~ spl31_470 ),
inference(forward_demodulation,[],[f4877,f4311]) ).
fof(f4877,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ spl31_470 ),
inference(avatar_component_clause,[],[f4875]) ).
fof(f4878,plain,
( spl31_1
| ~ spl31_2
| spl31_470
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_367 ),
inference(avatar_split_clause,[],[f3341,f3310,f1854,f1756,f537,f4875,f532,f527]) ).
fof(f3341,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k1_filter_2(sK2))))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_367 ),
inference(forward_demodulation,[],[f3340,f1856]) ).
fof(f3340,plain,
( k18_filter_2(sK2,sK10(k17_filter_2(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(k17_filter_2(sK2))))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_367 ),
inference(forward_demodulation,[],[f3334,f1758]) ).
fof(f3334,plain,
( k18_filter_2(sK2,sK10(u1_struct_0(sK2))) = k2_filter_2(k1_lattice2(sK2),k5_filter_2(sK2,sK10(u1_struct_0(sK2))))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_367 ),
inference(resolution,[],[f3311,f539]) ).
fof(f4868,plain,
( spl31_1
| ~ spl31_131
| ~ spl31_143
| ~ spl31_151
| ~ spl31_3
| spl31_469
| ~ spl31_206
| ~ spl31_364 ),
inference(avatar_split_clause,[],[f3289,f3237,f1786,f4866,f537,f1325,f1291,f1188,f527]) ).
fof(f3289,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| r3_lattices(sK2,X0,X0)
| ~ l3_lattices(sK2)
| ~ v9_lattices(sK2)
| ~ v8_lattices(sK2)
| ~ v6_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_206
| ~ spl31_364 ),
inference(superposition,[],[f3238,f1788]) ).
fof(f4859,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_468
| ~ spl31_165
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4325,f1854,f1756,f1453,f4857,f537,f532,f527]) ).
fof(f4325,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(sK2,X0) = k2_filter_2(sK2,X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_165
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1774,f1856]) ).
fof(f1774,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| k2_filter_0(sK2,X0) = k2_filter_2(sK2,X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_165
| ~ spl31_204 ),
inference(superposition,[],[f1454,f1758]) ).
fof(f4850,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_467
| ~ spl31_164
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4324,f1854,f1756,f1449,f4848,f537,f532,f527]) ).
fof(f4324,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k18_filter_2(sK2,X0) = a_2_0_filter_2(sK2,X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_164
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1773,f1856]) ).
fof(f1773,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| k18_filter_2(sK2,X0) = a_2_0_filter_2(sK2,X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_164
| ~ spl31_204 ),
inference(superposition,[],[f1450,f1758]) ).
fof(f4841,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_466
| ~ spl31_163
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4323,f1854,f1756,f1445,f4839,f537,f532,f527]) ).
fof(f4323,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k2_filter_0(sK2,X0) = a_2_0_filter_0(sK2,X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_163
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1772,f1856]) ).
fof(f1772,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| k2_filter_0(sK2,X0) = a_2_0_filter_0(sK2,X0)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_163
| ~ spl31_204 ),
inference(superposition,[],[f1446,f1758]) ).
fof(f4820,plain,
( spl31_465
| ~ spl31_52
| ~ spl31_242 ),
inference(avatar_split_clause,[],[f2037,f2027,f780,f4818]) ).
fof(f4818,plain,
( spl31_465
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_465])]) ).
fof(f780,plain,
( spl31_52
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_52])]) ).
fof(f2027,plain,
( spl31_242
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_242])]) ).
fof(f2037,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl31_52
| ~ spl31_242 ),
inference(resolution,[],[f2028,f781]) ).
fof(f781,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl31_52 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f2028,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl31_242 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f4816,plain,
( spl31_464
| ~ spl31_89
| ~ spl31_239 ),
inference(avatar_split_clause,[],[f2021,f2000,f958,f4814]) ).
fof(f4814,plain,
( spl31_464
<=> ! [X0,X1] : v1_relat_1(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_464])]) ).
fof(f2021,plain,
( ! [X0,X1] : v1_relat_1(sK14(X0,X1))
| ~ spl31_89
| ~ spl31_239 ),
inference(resolution,[],[f2001,f959]) ).
fof(f4812,plain,
( spl31_463
| ~ spl31_238
| ~ spl31_239 ),
inference(avatar_split_clause,[],[f2020,f2000,f1996,f4810]) ).
fof(f4810,plain,
( spl31_463
<=> ! [X0,X1] : v1_relat_1(sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_463])]) ).
fof(f2020,plain,
( ! [X0,X1] : v1_relat_1(sK13(X0,X1))
| ~ spl31_238
| ~ spl31_239 ),
inference(resolution,[],[f2001,f1997]) ).
fof(f4808,plain,
( spl31_462
| ~ spl31_83
| ~ spl31_215 ),
inference(avatar_split_clause,[],[f1870,f1867,f925,f4806]) ).
fof(f4806,plain,
( spl31_462
<=> ! [X0] : m1_subset_1(sK22,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_462])]) ).
fof(f1870,plain,
( ! [X0] : m1_subset_1(sK22,k1_zfmisc_1(X0))
| ~ spl31_83
| ~ spl31_215 ),
inference(superposition,[],[f926,f1868]) ).
fof(f4804,plain,
( spl31_461
| ~ spl31_53
| ~ spl31_439 ),
inference(avatar_split_clause,[],[f4334,f4299,f784,f4801]) ).
fof(f4801,plain,
( spl31_461
<=> l1_struct_0(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_461])]) ).
fof(f4299,plain,
( spl31_439
<=> l1_lattices(k1_lattice2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_439])]) ).
fof(f4334,plain,
( l1_struct_0(k1_lattice2(sK2))
| ~ spl31_53
| ~ spl31_439 ),
inference(resolution,[],[f4300,f785]) ).
fof(f4300,plain,
( l1_lattices(k1_lattice2(sK2))
| ~ spl31_439 ),
inference(avatar_component_clause,[],[f4299]) ).
fof(f4794,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_460
| ~ spl31_158
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4322,f1854,f1756,f1404,f4792,f537,f532,f527]) ).
fof(f4322,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| k5_filter_2(sK2,X0) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_158
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1771,f1856]) ).
fof(f1771,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k17_filter_2(sK2))
| k5_filter_2(sK2,X0) = X0
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_158
| ~ spl31_204 ),
inference(superposition,[],[f1405,f1758]) ).
fof(f4787,plain,
( spl31_459
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_69
| ~ spl31_355 ),
inference(avatar_split_clause,[],[f3185,f3059,f867,f537,f532,f527,f4784]) ).
fof(f3185,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_0(sK2,k6_lattices(sK2)) = k2_filter_2(sK2,k6_lattices(sK2))
| ~ spl31_69
| ~ spl31_355 ),
inference(resolution,[],[f3060,f869]) ).
fof(f4779,plain,
( spl31_458
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_66
| ~ spl31_354 ),
inference(avatar_split_clause,[],[f3176,f3055,f850,f537,f532,f527,f4776]) ).
fof(f3176,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_0(sK2,k5_lattices(sK2)) = k2_filter_2(sK2,k5_lattices(sK2))
| ~ spl31_66
| ~ spl31_354 ),
inference(resolution,[],[f3056,f852]) ).
fof(f4727,plain,
( spl31_457
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_69
| ~ spl31_351 ),
inference(avatar_split_clause,[],[f3155,f3041,f867,f537,f532,f527,f4724]) ).
fof(f3155,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k18_filter_2(sK2,k6_lattices(sK2)) = a_2_0_filter_2(sK2,k6_lattices(sK2))
| ~ spl31_69
| ~ spl31_351 ),
inference(resolution,[],[f3042,f869]) ).
fof(f4675,plain,
( spl31_456
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_66
| ~ spl31_350 ),
inference(avatar_split_clause,[],[f3147,f3037,f850,f537,f532,f527,f4672]) ).
fof(f3147,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k18_filter_2(sK2,k5_lattices(sK2)) = a_2_0_filter_2(sK2,k5_lattices(sK2))
| ~ spl31_66
| ~ spl31_350 ),
inference(resolution,[],[f3038,f852]) ).
fof(f4670,plain,
( spl31_455
| ~ spl31_239
| ~ spl31_437 ),
inference(avatar_split_clause,[],[f4292,f4286,f2000,f4667]) ).
fof(f4667,plain,
( spl31_455
<=> v1_relat_1(u2_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_455])]) ).
fof(f4292,plain,
( v1_relat_1(u2_lattices(sK2))
| ~ spl31_239
| ~ spl31_437 ),
inference(resolution,[],[f4288,f2001]) ).
fof(f4618,plain,
( spl31_454
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_69
| ~ spl31_348 ),
inference(avatar_split_clause,[],[f3121,f3029,f867,f537,f532,f527,f4615]) ).
fof(f3121,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_0(sK2,k6_lattices(sK2)) = a_2_0_filter_0(sK2,k6_lattices(sK2))
| ~ spl31_69
| ~ spl31_348 ),
inference(resolution,[],[f3030,f869]) ).
fof(f4566,plain,
( spl31_453
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_66
| ~ spl31_347 ),
inference(avatar_split_clause,[],[f3112,f3025,f850,f537,f532,f527,f4563]) ).
fof(f3112,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k2_filter_0(sK2,k5_lattices(sK2)) = a_2_0_filter_0(sK2,k5_lattices(sK2))
| ~ spl31_66
| ~ spl31_347 ),
inference(resolution,[],[f3026,f852]) ).
fof(f4551,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_452
| ~ spl31_157
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4321,f1854,f1756,f1390,f4549,f537,f532,f527]) ).
fof(f4321,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| ~ m2_lattice4(X0,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_157
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1770,f1856]) ).
fof(f1770,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK2)))
| ~ m2_lattice4(X0,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_157
| ~ spl31_204 ),
inference(superposition,[],[f1391,f1758]) ).
fof(f4537,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_451
| ~ spl31_156
| ~ spl31_204
| ~ spl31_213 ),
inference(avatar_split_clause,[],[f4320,f1854,f1756,f1386,f4535,f537,f532,f527]) ).
fof(f4320,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k1_filter_2(sK2)))
| ~ m1_filter_0(X0,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_156
| ~ spl31_204
| ~ spl31_213 ),
inference(forward_demodulation,[],[f1769,f1856]) ).
fof(f1769,plain,
( ! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(k17_filter_2(sK2)))
| ~ m1_filter_0(X0,sK2)
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2) )
| ~ spl31_156
| ~ spl31_204 ),
inference(superposition,[],[f1387,f1758]) ).
fof(f4528,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_450
| ~ spl31_206
| ~ spl31_321 ),
inference(avatar_split_clause,[],[f2764,f2687,f1786,f4526,f537,f532,f527]) ).
fof(f2764,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ v1_xboole_0(k2_filter_0(sK2,X0)) )
| ~ spl31_206
| ~ spl31_321 ),
inference(superposition,[],[f2688,f1788]) ).
fof(f4518,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_449
| ~ spl31_206
| ~ spl31_320 ),
inference(avatar_split_clause,[],[f2745,f2683,f1786,f4516,f537,f532,f527]) ).
fof(f2745,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ v1_xboole_0(k2_filter_2(sK2,X0)) )
| ~ spl31_206
| ~ spl31_320 ),
inference(superposition,[],[f2684,f1788]) ).
fof(f4509,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_448
| ~ spl31_206
| ~ spl31_319 ),
inference(avatar_split_clause,[],[f2726,f2679,f1786,f4507,f537,f532,f527]) ).
fof(f2726,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_2(sK2))
| ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ v1_xboole_0(k18_filter_2(sK2,X0)) )
| ~ spl31_206
| ~ spl31_319 ),
inference(superposition,[],[f2680,f1788]) ).
fof(f4503,plain,
( spl31_447
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_69
| ~ spl31_332 ),
inference(avatar_split_clause,[],[f2903,f2826,f867,f537,f532,f527,f4500]) ).
fof(f2903,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k6_lattices(sK2) = k5_filter_2(sK2,k6_lattices(sK2))
| ~ spl31_69
| ~ spl31_332 ),
inference(resolution,[],[f2827,f869]) ).
fof(f4492,plain,
( spl31_446
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_66
| ~ spl31_331 ),
inference(avatar_split_clause,[],[f2895,f2822,f850,f537,f532,f527,f4489]) ).
fof(f2895,plain,
( ~ l3_lattices(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| k5_lattices(sK2) = k5_filter_2(sK2,k5_lattices(sK2))
| ~ spl31_66
| ~ spl31_331 ),
inference(resolution,[],[f2823,f852]) ).
fof(f4396,plain,
( ~ spl31_185
| ~ spl31_74
| ~ spl31_438 ),
inference(avatar_split_clause,[],[f4333,f4295,f888,f1647]) ).
fof(f4333,plain,
( ~ sP1(sK2)
| ~ spl31_74
| ~ spl31_438 ),
inference(resolution,[],[f4297,f889]) ).
fof(f4297,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ spl31_438 ),
inference(avatar_component_clause,[],[f4295]) ).
fof(f4392,plain,
( spl31_1
| ~ spl31_2
| spl31_445
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_353 ),
inference(avatar_split_clause,[],[f3170,f3051,f1854,f1756,f537,f4389,f532,f527]) ).
fof(f3170,plain,
( k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = k2_filter_2(sK2,sK10(k1_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_353 ),
inference(forward_demodulation,[],[f3169,f1856]) ).
fof(f3169,plain,
( k2_filter_0(sK2,sK10(k17_filter_2(sK2))) = k2_filter_2(sK2,sK10(k17_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_353 ),
inference(forward_demodulation,[],[f3163,f1758]) ).
fof(f3163,plain,
( k2_filter_0(sK2,sK10(u1_struct_0(sK2))) = k2_filter_2(sK2,sK10(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_353 ),
inference(resolution,[],[f3052,f539]) ).
fof(f4374,plain,
( spl31_1
| ~ spl31_2
| spl31_444
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_349 ),
inference(avatar_split_clause,[],[f3141,f3033,f1854,f1756,f537,f4371,f532,f527]) ).
fof(f4371,plain,
( spl31_444
<=> k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_444])]) ).
fof(f3141,plain,
( k18_filter_2(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_2(sK2,sK10(k1_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_349 ),
inference(forward_demodulation,[],[f3140,f1856]) ).
fof(f3140,plain,
( k18_filter_2(sK2,sK10(k17_filter_2(sK2))) = a_2_0_filter_2(sK2,sK10(k17_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_349 ),
inference(forward_demodulation,[],[f3134,f1758]) ).
fof(f3134,plain,
( k18_filter_2(sK2,sK10(u1_struct_0(sK2))) = a_2_0_filter_2(sK2,sK10(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_349 ),
inference(resolution,[],[f3034,f539]) ).
fof(f4356,plain,
( spl31_1
| ~ spl31_2
| spl31_443
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_346 ),
inference(avatar_split_clause,[],[f3106,f3021,f1854,f1756,f537,f4353,f532,f527]) ).
fof(f4353,plain,
( spl31_443
<=> k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK10(k1_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_443])]) ).
fof(f3106,plain,
( k2_filter_0(sK2,sK10(k1_filter_2(sK2))) = a_2_0_filter_0(sK2,sK10(k1_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_346 ),
inference(forward_demodulation,[],[f3105,f1856]) ).
fof(f3105,plain,
( k2_filter_0(sK2,sK10(k17_filter_2(sK2))) = a_2_0_filter_0(sK2,sK10(k17_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_346 ),
inference(forward_demodulation,[],[f3099,f1758]) ).
fof(f3099,plain,
( k2_filter_0(sK2,sK10(u1_struct_0(sK2))) = a_2_0_filter_0(sK2,sK10(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_346 ),
inference(resolution,[],[f3022,f539]) ).
fof(f4345,plain,
( spl31_442
| ~ spl31_3
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f2959,f2939,f537,f4342]) ).
fof(f2959,plain,
( k1_lattice2(k1_lattice2(sK2)) = g3_lattices(u1_struct_0(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)),u2_lattices(k1_lattice2(sK2)))
| ~ spl31_3
| ~ spl31_339 ),
inference(resolution,[],[f2940,f539]) ).
fof(f4315,plain,
( ~ spl31_3
| ~ spl31_217
| spl31_439 ),
inference(avatar_split_clause,[],[f4307,f4299,f1877,f537]) ).
fof(f4307,plain,
( ~ l3_lattices(sK2)
| ~ spl31_217
| spl31_439 ),
inference(resolution,[],[f4301,f1878]) ).
fof(f4301,plain,
( ~ l1_lattices(k1_lattice2(sK2))
| spl31_439 ),
inference(avatar_component_clause,[],[f4299]) ).
fof(f4312,plain,
( spl31_1
| ~ spl31_2
| spl31_441
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_330 ),
inference(avatar_split_clause,[],[f2889,f2818,f1854,f1756,f537,f4309,f532,f527]) ).
fof(f2889,plain,
( sK10(k1_filter_2(sK2)) = k5_filter_2(sK2,sK10(k1_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_213
| ~ spl31_330 ),
inference(forward_demodulation,[],[f2888,f1856]) ).
fof(f2888,plain,
( sK10(k17_filter_2(sK2)) = k5_filter_2(sK2,sK10(k17_filter_2(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_204
| ~ spl31_330 ),
inference(forward_demodulation,[],[f2882,f1758]) ).
fof(f2882,plain,
( sK10(u1_struct_0(sK2)) = k5_filter_2(sK2,sK10(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_330 ),
inference(resolution,[],[f2819,f539]) ).
fof(f4306,plain,
( spl31_438
| ~ spl31_439
| spl31_440
| ~ spl31_109
| ~ spl31_209 ),
inference(avatar_split_clause,[],[f1835,f1831,f1077,f4303,f4299,f4295]) ).
fof(f1835,plain,
( m1_subset_1(k6_lattices(sK2),u1_struct_0(k1_lattice2(sK2)))
| ~ l1_lattices(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ spl31_109
| ~ spl31_209 ),
inference(superposition,[],[f1078,f1833]) ).
fof(f4289,plain,
( spl31_437
| ~ spl31_213
| ~ spl31_436 ),
inference(avatar_split_clause,[],[f4284,f4280,f1854,f4286]) ).
fof(f4280,plain,
( spl31_436
<=> m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_436])]) ).
fof(f4284,plain,
( m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_213
| ~ spl31_436 ),
inference(forward_demodulation,[],[f4282,f1856]) ).
fof(f4282,plain,
( m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ spl31_436 ),
inference(avatar_component_clause,[],[f4280]) ).
fof(f4283,plain,
( ~ spl31_69
| spl31_436
| ~ spl31_145
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1768,f1756,f1300,f4280,f867]) ).
fof(f1768,plain,
( m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ l2_lattices(sK2)
| ~ spl31_145
| ~ spl31_204 ),
inference(superposition,[],[f1301,f1758]) ).
fof(f4278,plain,
( spl31_435
| ~ spl31_239
| ~ spl31_432 ),
inference(avatar_split_clause,[],[f4261,f4255,f2000,f4275]) ).
fof(f4275,plain,
( spl31_435
<=> v1_relat_1(u1_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_435])]) ).
fof(f4261,plain,
( v1_relat_1(u1_lattices(sK2))
| ~ spl31_239
| ~ spl31_432 ),
inference(resolution,[],[f4257,f2001]) ).
fof(f4273,plain,
( spl31_434
| ~ spl31_213
| ~ spl31_433 ),
inference(avatar_split_clause,[],[f4268,f4264,f1854,f4270]) ).
fof(f4264,plain,
( spl31_433
<=> v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_433])]) ).
fof(f4268,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_213
| ~ spl31_433 ),
inference(forward_demodulation,[],[f4266,f1856]) ).
fof(f4266,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ spl31_433 ),
inference(avatar_component_clause,[],[f4264]) ).
fof(f4267,plain,
( ~ spl31_69
| spl31_433
| ~ spl31_144
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1767,f1756,f1296,f4264,f867]) ).
fof(f1767,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ l2_lattices(sK2)
| ~ spl31_144
| ~ spl31_204 ),
inference(superposition,[],[f1297,f1758]) ).
fof(f4258,plain,
( spl31_432
| ~ spl31_213
| ~ spl31_431 ),
inference(avatar_split_clause,[],[f4253,f4249,f1854,f4255]) ).
fof(f4249,plain,
( spl31_431
<=> m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_431])]) ).
fof(f4253,plain,
( m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_213
| ~ spl31_431 ),
inference(forward_demodulation,[],[f4251,f1856]) ).
fof(f4251,plain,
( m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ spl31_431 ),
inference(avatar_component_clause,[],[f4249]) ).
fof(f4252,plain,
( ~ spl31_66
| spl31_431
| ~ spl31_142
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1766,f1756,f1287,f4249,f850]) ).
fof(f1766,plain,
( m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ l1_lattices(sK2)
| ~ spl31_142
| ~ spl31_204 ),
inference(superposition,[],[f1288,f1758]) ).
fof(f4247,plain,
( spl31_430
| ~ spl31_213
| ~ spl31_429 ),
inference(avatar_split_clause,[],[f4242,f4238,f1854,f4244]) ).
fof(f4238,plain,
( spl31_429
<=> v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_429])]) ).
fof(f4242,plain,
( v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k1_filter_2(sK2),k1_filter_2(sK2)),k1_filter_2(sK2))
| ~ spl31_213
| ~ spl31_429 ),
inference(forward_demodulation,[],[f4240,f1856]) ).
fof(f4240,plain,
( v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ spl31_429 ),
inference(avatar_component_clause,[],[f4238]) ).
fof(f4241,plain,
( ~ spl31_66
| spl31_429
| ~ spl31_141
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1765,f1756,f1283,f4238,f850]) ).
fof(f1765,plain,
( v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(k17_filter_2(sK2),k17_filter_2(sK2)),k17_filter_2(sK2))
| ~ l1_lattices(sK2)
| ~ spl31_141
| ~ spl31_204 ),
inference(superposition,[],[f1284,f1758]) ).
fof(f4236,plain,
( spl31_428
| ~ spl31_88
| ~ spl31_186 ),
inference(avatar_split_clause,[],[f1657,f1654,f954,f4234]) ).
fof(f4234,plain,
( spl31_428
<=> ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_428])]) ).
fof(f954,plain,
( spl31_88
<=> ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_88])]) ).
fof(f1657,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) )
| ~ spl31_88
| ~ spl31_186 ),
inference(resolution,[],[f1655,f955]) ).
fof(f955,plain,
( ! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1)
| ~ spl31_88 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f4232,plain,
( spl31_426
| spl31_427
| ~ spl31_235
| ~ spl31_415 ),
inference(avatar_split_clause,[],[f4149,f4036,f1984,f4229,f4225]) ).
fof(f4149,plain,
( m1_subset_1(sK10(sK4(sK2)),k1_filter_2(sK2))
| v1_xboole_0(sK4(sK2))
| ~ spl31_235
| ~ spl31_415 ),
inference(resolution,[],[f4037,f1985]) ).
fof(f4223,plain,
( spl31_425
| ~ spl31_88
| ~ spl31_184 ),
inference(avatar_split_clause,[],[f1652,f1643,f954,f4221]) ).
fof(f4221,plain,
( spl31_425
<=> ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_425])]) ).
fof(f1652,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_88
| ~ spl31_184 ),
inference(resolution,[],[f1644,f955]) ).
fof(f4219,plain,
( spl31_424
| ~ spl31_88
| ~ spl31_183 ),
inference(avatar_split_clause,[],[f1651,f1639,f954,f4217]) ).
fof(f4217,plain,
( spl31_424
<=> ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_424])]) ).
fof(f1651,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK13(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_2(sK13(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(sK13(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) )
| ~ spl31_88
| ~ spl31_183 ),
inference(resolution,[],[f1640,f955]) ).
fof(f4215,plain,
( spl31_423
| ~ spl31_154
| ~ spl31_180 ),
inference(avatar_split_clause,[],[f1624,f1611,f1362,f4213]) ).
fof(f4213,plain,
( spl31_423
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,sK12(X1,a_2_0_filter_2(X0,X2)),X2)
| ~ m1_subset_1(sK12(X1,a_2_0_filter_2(X0,X2)),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| a_2_0_filter_2(X0,X2) = X1
| ~ r2_hidden(sK12(X1,a_2_0_filter_2(X0,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_423])]) ).
fof(f1624,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,sK12(X1,a_2_0_filter_2(X0,X2)),X2)
| ~ m1_subset_1(sK12(X1,a_2_0_filter_2(X0,X2)),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| a_2_0_filter_2(X0,X2) = X1
| ~ r2_hidden(sK12(X1,a_2_0_filter_2(X0,X2)),X1) )
| ~ spl31_154
| ~ spl31_180 ),
inference(resolution,[],[f1612,f1363]) ).
fof(f4211,plain,
( spl31_422
| ~ spl31_154
| ~ spl31_179 ),
inference(avatar_split_clause,[],[f1618,f1607,f1362,f4209]) ).
fof(f4209,plain,
( spl31_422
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,sK12(X2,a_2_0_filter_0(X0,X1)))
| ~ m1_subset_1(sK12(X2,a_2_0_filter_0(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| a_2_0_filter_0(X0,X1) = X2
| ~ r2_hidden(sK12(X2,a_2_0_filter_0(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_422])]) ).
fof(f1618,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,sK12(X2,a_2_0_filter_0(X0,X1)))
| ~ m1_subset_1(sK12(X2,a_2_0_filter_0(X0,X1)),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| a_2_0_filter_0(X0,X1) = X2
| ~ r2_hidden(sK12(X2,a_2_0_filter_0(X0,X1)),X2) )
| ~ spl31_154
| ~ spl31_179 ),
inference(resolution,[],[f1608,f1363]) ).
fof(f4062,plain,
( spl31_421
| ~ spl31_153
| ~ spl31_173 ),
inference(avatar_split_clause,[],[f1552,f1546,f1358,f4060]) ).
fof(f1552,plain,
( ! [X2,X0,X1] :
( sK12(a_2_0_filter_2(X0,X1),X2) = sK16(sK12(a_2_0_filter_2(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(a_2_0_filter_2(X0,X1),X2),X2)
| a_2_0_filter_2(X0,X1) = X2 )
| ~ spl31_153
| ~ spl31_173 ),
inference(resolution,[],[f1547,f1359]) ).
fof(f4058,plain,
( spl31_420
| ~ spl31_153
| ~ spl31_173 ),
inference(avatar_split_clause,[],[f1551,f1546,f1358,f4056]) ).
fof(f1551,plain,
( ! [X2,X0,X1] :
( sK12(X0,a_2_0_filter_2(X1,X2)) = sK16(sK12(X0,a_2_0_filter_2(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,a_2_0_filter_2(X1,X2)),X0)
| a_2_0_filter_2(X1,X2) = X0 )
| ~ spl31_153
| ~ spl31_173 ),
inference(resolution,[],[f1547,f1359]) ).
fof(f4054,plain,
( spl31_419
| ~ spl31_153
| ~ spl31_172 ),
inference(avatar_split_clause,[],[f1550,f1542,f1358,f4052]) ).
fof(f1550,plain,
( ! [X2,X0,X1] :
( sK12(a_2_0_filter_0(X0,X1),X2) = sK15(sK12(a_2_0_filter_0(X0,X1),X2),X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r2_hidden(sK12(a_2_0_filter_0(X0,X1),X2),X2)
| a_2_0_filter_0(X0,X1) = X2 )
| ~ spl31_153
| ~ spl31_172 ),
inference(resolution,[],[f1543,f1359]) ).
fof(f4050,plain,
( spl31_418
| ~ spl31_153
| ~ spl31_172 ),
inference(avatar_split_clause,[],[f1549,f1542,f1358,f4048]) ).
fof(f1549,plain,
( ! [X2,X0,X1] :
( sK12(X0,a_2_0_filter_0(X1,X2)) = sK15(sK12(X0,a_2_0_filter_0(X1,X2)),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK12(X0,a_2_0_filter_0(X1,X2)),X0)
| a_2_0_filter_0(X1,X2) = X0 )
| ~ spl31_153
| ~ spl31_172 ),
inference(resolution,[],[f1543,f1359]) ).
fof(f4046,plain,
( spl31_417
| ~ spl31_166
| ~ spl31_171 ),
inference(avatar_split_clause,[],[f1536,f1526,f1457,f4044]) ).
fof(f1536,plain,
( ! [X0,X1] :
( k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k18_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_171 ),
inference(resolution,[],[f1527,f1458]) ).
fof(f4042,plain,
( spl31_416
| ~ spl31_166
| ~ spl31_170 ),
inference(avatar_split_clause,[],[f1530,f1522,f1457,f4040]) ).
fof(f1530,plain,
( ! [X0,X1] :
( k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(k1_lattice2(k1_lattice2(X0)),k5_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_166
| ~ spl31_170 ),
inference(resolution,[],[f1523,f1458]) ).
fof(f4038,plain,
( spl31_415
| ~ spl31_128
| ~ spl31_404 ),
inference(avatar_split_clause,[],[f3925,f3845,f1169,f4036]) ).
fof(f3925,plain,
( ! [X0] :
( m1_subset_1(X0,k1_filter_2(sK2))
| ~ r2_hidden(X0,sK4(sK2)) )
| ~ spl31_128
| ~ spl31_404 ),
inference(resolution,[],[f3847,f1170]) ).
fof(f4010,plain,
( spl31_414
| ~ spl31_176
| ~ spl31_181 ),
inference(avatar_split_clause,[],[f1637,f1627,f1562,f4008]) ).
fof(f1627,plain,
( spl31_181
<=> ! [X2,X0,X1] :
( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_181])]) ).
fof(f1637,plain,
( ! [X2,X0,X1] :
( r1_lattices(X0,X1,sK15(X2,X0,X1))
| ~ m1_subset_1(sK15(X2,X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ v10_lattices(X0) )
| ~ spl31_176
| ~ spl31_181 ),
inference(duplicate_literal_removal,[],[f1634]) ).
fof(f1634,plain,
( ! [X2,X0,X1] :
( r1_lattices(X0,X1,sK15(X2,X0,X1))
| ~ m1_subset_1(sK15(X2,X0,X1),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,a_2_0_filter_0(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_176
| ~ spl31_181 ),
inference(resolution,[],[f1628,f1563]) ).
fof(f1628,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_181 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f4006,plain,
( spl31_413
| ~ spl31_178
| ~ spl31_181 ),
inference(avatar_split_clause,[],[f1636,f1627,f1570,f4004]) ).
fof(f1636,plain,
( ! [X2,X0,X1] :
( r1_lattices(X0,sK16(X1,X0,X2),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(sK16(X1,X0,X2),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ v10_lattices(X0) )
| ~ spl31_178
| ~ spl31_181 ),
inference(duplicate_literal_removal,[],[f1635]) ).
fof(f1635,plain,
( ! [X2,X0,X1] :
( r1_lattices(X0,sK16(X1,X0,X2),X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(sK16(X1,X0,X2),u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X1,a_2_0_filter_2(X0,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_178
| ~ spl31_181 ),
inference(resolution,[],[f1628,f1571]) ).
fof(f3945,plain,
( spl31_412
| ~ spl31_163
| ~ spl31_166 ),
inference(avatar_split_clause,[],[f1481,f1457,f1445,f3943]) ).
fof(f1481,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0)) = a_2_0_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_163
| ~ spl31_166 ),
inference(resolution,[],[f1458,f1446]) ).
fof(f3941,plain,
( spl31_411
| ~ spl31_164
| ~ spl31_166 ),
inference(avatar_split_clause,[],[f1480,f1457,f1449,f3939]) ).
fof(f1480,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0)) = a_2_0_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_164
| ~ spl31_166 ),
inference(resolution,[],[f1458,f1450]) ).
fof(f3937,plain,
( spl31_410
| ~ spl31_165
| ~ spl31_166 ),
inference(avatar_split_clause,[],[f1479,f1457,f1453,f3935]) ).
fof(f1479,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X0)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_165
| ~ spl31_166 ),
inference(resolution,[],[f1458,f1454]) ).
fof(f3887,plain,
( spl31_409
| ~ spl31_170
| ~ spl31_177 ),
inference(avatar_split_clause,[],[f1600,f1566,f1522,f3885]) ).
fof(f1600,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2))) )
| ~ spl31_170
| ~ spl31_177 ),
inference(duplicate_literal_removal,[],[f1596]) ).
fof(f1596,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_170
| ~ spl31_177 ),
inference(resolution,[],[f1567,f1523]) ).
fof(f3883,plain,
( spl31_408
| ~ spl31_171
| ~ spl31_177 ),
inference(avatar_split_clause,[],[f1599,f1566,f1526,f3881]) ).
fof(f1599,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2))) )
| ~ spl31_171
| ~ spl31_177 ),
inference(duplicate_literal_removal,[],[f1597]) ).
fof(f1597,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK16(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK16(X0,X1,X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_171
| ~ spl31_177 ),
inference(resolution,[],[f1567,f1527]) ).
fof(f3879,plain,
( spl31_407
| ~ spl31_170
| ~ spl31_175 ),
inference(avatar_split_clause,[],[f1587,f1558,f1522,f3877]) ).
fof(f1587,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2))) )
| ~ spl31_170
| ~ spl31_175 ),
inference(duplicate_literal_removal,[],[f1583]) ).
fof(f1583,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_170
| ~ spl31_175 ),
inference(resolution,[],[f1559,f1523]) ).
fof(f3875,plain,
( spl31_406
| ~ spl31_171
| ~ spl31_175 ),
inference(avatar_split_clause,[],[f1586,f1558,f1526,f3873]) ).
fof(f1586,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2))) )
| ~ spl31_171
| ~ spl31_175 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1584,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_2(X1,sK15(X0,X1,X2)) = k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,sK15(X0,X1,X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_171
| ~ spl31_175 ),
inference(resolution,[],[f1559,f1527]) ).
fof(f3852,plain,
( spl31_405
| ~ spl31_158
| ~ spl31_166 ),
inference(avatar_split_clause,[],[f1482,f1457,f1404,f3850]) ).
fof(f1482,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k5_filter_2(X1,X0) = k5_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1)) )
| ~ spl31_158
| ~ spl31_166 ),
inference(resolution,[],[f1458,f1405]) ).
fof(f3848,plain,
( spl31_404
| ~ spl31_213
| ~ spl31_399 ),
inference(avatar_split_clause,[],[f3773,f3769,f1854,f3845]) ).
fof(f3769,plain,
( spl31_399
<=> m1_subset_1(sK4(sK2),k1_zfmisc_1(k17_filter_2(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_399])]) ).
fof(f3773,plain,
( m1_subset_1(sK4(sK2),k1_zfmisc_1(k1_filter_2(sK2)))
| ~ spl31_213
| ~ spl31_399 ),
inference(forward_demodulation,[],[f3771,f1856]) ).
fof(f3771,plain,
( m1_subset_1(sK4(sK2),k1_zfmisc_1(k17_filter_2(sK2)))
| ~ spl31_399 ),
inference(avatar_component_clause,[],[f3769]) ).
fof(f3789,plain,
( spl31_403
| ~ spl31_163
| ~ spl31_177 ),
inference(avatar_split_clause,[],[f1603,f1566,f1445,f3787]) ).
fof(f1603,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = a_2_0_filter_0(X1,sK16(X0,X1,X2)) )
| ~ spl31_163
| ~ spl31_177 ),
inference(duplicate_literal_removal,[],[f1593]) ).
fof(f1593,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = a_2_0_filter_0(X1,sK16(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_163
| ~ spl31_177 ),
inference(resolution,[],[f1567,f1446]) ).
fof(f3785,plain,
( spl31_402
| ~ spl31_164
| ~ spl31_177 ),
inference(avatar_split_clause,[],[f1602,f1566,f1449,f3783]) ).
fof(f1602,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = a_2_0_filter_2(X1,sK16(X0,X1,X2)) )
| ~ spl31_164
| ~ spl31_177 ),
inference(duplicate_literal_removal,[],[f1594]) ).
fof(f1594,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK16(X0,X1,X2)) = a_2_0_filter_2(X1,sK16(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_164
| ~ spl31_177 ),
inference(resolution,[],[f1567,f1450]) ).
fof(f3781,plain,
( spl31_401
| ~ spl31_165
| ~ spl31_177 ),
inference(avatar_split_clause,[],[f1601,f1566,f1453,f3779]) ).
fof(f1601,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = k2_filter_2(X1,sK16(X0,X1,X2)) )
| ~ spl31_165
| ~ spl31_177 ),
inference(duplicate_literal_removal,[],[f1595]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK16(X0,X1,X2)) = k2_filter_2(X1,sK16(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_165
| ~ spl31_177 ),
inference(resolution,[],[f1567,f1454]) ).
fof(f3777,plain,
( spl31_400
| ~ spl31_163
| ~ spl31_175 ),
inference(avatar_split_clause,[],[f1590,f1558,f1445,f3775]) ).
fof(f1590,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = a_2_0_filter_0(X1,sK15(X0,X1,X2)) )
| ~ spl31_163
| ~ spl31_175 ),
inference(duplicate_literal_removal,[],[f1580]) ).
fof(f1580,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = a_2_0_filter_0(X1,sK15(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_163
| ~ spl31_175 ),
inference(resolution,[],[f1559,f1446]) ).
fof(f3772,plain,
( spl31_1
| ~ spl31_85
| spl31_399
| ~ spl31_117
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1764,f1756,f1124,f3769,f941,f527]) ).
fof(f1764,plain,
( m1_subset_1(sK4(sK2),k1_zfmisc_1(k17_filter_2(sK2)))
| ~ l1_struct_0(sK2)
| v3_struct_0(sK2)
| ~ spl31_117
| ~ spl31_204 ),
inference(superposition,[],[f1125,f1758]) ).
fof(f3767,plain,
( spl31_398
| ~ spl31_164
| ~ spl31_175 ),
inference(avatar_split_clause,[],[f1589,f1558,f1449,f3765]) ).
fof(f1589,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = a_2_0_filter_2(X1,sK15(X0,X1,X2)) )
| ~ spl31_164
| ~ spl31_175 ),
inference(duplicate_literal_removal,[],[f1581]) ).
fof(f1581,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k18_filter_2(X1,sK15(X0,X1,X2)) = a_2_0_filter_2(X1,sK15(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_164
| ~ spl31_175 ),
inference(resolution,[],[f1559,f1450]) ).
fof(f3763,plain,
( spl31_397
| ~ spl31_165
| ~ spl31_175 ),
inference(avatar_split_clause,[],[f1588,f1558,f1453,f3761]) ).
fof(f1588,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = k2_filter_2(X1,sK15(X0,X1,X2)) )
| ~ spl31_165
| ~ spl31_175 ),
inference(duplicate_literal_removal,[],[f1582]) ).
fof(f1582,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| k2_filter_0(X1,sK15(X0,X1,X2)) = k2_filter_2(X1,sK15(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_165
| ~ spl31_175 ),
inference(resolution,[],[f1559,f1454]) ).
fof(f3695,plain,
( spl31_396
| ~ spl31_156
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1511,f1502,f1386,f3693]) ).
fof(f1511,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| r1_filter_2(u1_struct_0(X0),X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156
| ~ spl31_169 ),
inference(resolution,[],[f1503,f1387]) ).
fof(f3691,plain,
( spl31_395
| ~ spl31_157
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1510,f1502,f1390,f3689]) ).
fof(f1510,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| r1_filter_2(u1_struct_0(X0),X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157
| ~ spl31_169 ),
inference(resolution,[],[f1503,f1391]) ).
fof(f3687,plain,
( spl31_394
| ~ spl31_135
| ~ spl31_162 ),
inference(avatar_split_clause,[],[f1443,f1420,f1222,f3685]) ).
fof(f1222,plain,
( spl31_135
<=> ! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_135])]) ).
fof(f1420,plain,
( spl31_162
<=> ! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_162])]) ).
fof(f1443,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_135
| ~ spl31_162 ),
inference(resolution,[],[f1421,f1223]) ).
fof(f1223,plain,
( ! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_135 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1421,plain,
( ! [X0] :
( ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_162 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f3655,plain,
( spl31_393
| ~ spl31_158
| ~ spl31_177 ),
inference(avatar_split_clause,[],[f1604,f1566,f1404,f3653]) ).
fof(f1604,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,X2) = k5_filter_2(X1,sK16(X0,X1,X2)) )
| ~ spl31_158
| ~ spl31_177 ),
inference(duplicate_literal_removal,[],[f1592]) ).
fof(f1592,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK16(X0,X1,X2) = k5_filter_2(X1,sK16(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_158
| ~ spl31_177 ),
inference(resolution,[],[f1567,f1405]) ).
fof(f3651,plain,
( spl31_392
| ~ spl31_158
| ~ spl31_175 ),
inference(avatar_split_clause,[],[f1591,f1558,f1404,f3649]) ).
fof(f1591,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,X2) = k5_filter_2(X1,sK15(X0,X1,X2)) )
| ~ spl31_158
| ~ spl31_175 ),
inference(duplicate_literal_removal,[],[f1579]) ).
fof(f1579,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,X1,X2) = k5_filter_2(X1,sK15(X0,X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_158
| ~ spl31_175 ),
inference(resolution,[],[f1559,f1405]) ).
fof(f3647,plain,
( spl31_391
| ~ spl31_127
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1509,f1502,f1165,f3645]) ).
fof(f1509,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| r1_filter_2(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl31_127
| ~ spl31_169 ),
inference(resolution,[],[f1503,f1166]) ).
fof(f3555,plain,
( spl31_390
| ~ spl31_101
| ~ spl31_177 ),
inference(avatar_split_clause,[],[f1598,f1566,f1013,f3553]) ).
fof(f1598,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK16(X0,X1,X2),u1_struct_0(X1)) )
| ~ spl31_101
| ~ spl31_177 ),
inference(resolution,[],[f1567,f1014]) ).
fof(f3551,plain,
( spl31_389
| ~ spl31_101
| ~ spl31_175 ),
inference(avatar_split_clause,[],[f1585,f1558,f1013,f3549]) ).
fof(f1585,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| r2_hidden(sK15(X0,X1,X2),u1_struct_0(X1)) )
| ~ spl31_101
| ~ spl31_175 ),
inference(resolution,[],[f1559,f1014]) ).
fof(f3547,plain,
( ~ spl31_388
| spl31_49
| ~ spl31_204
| ~ spl31_206 ),
inference(avatar_split_clause,[],[f1811,f1786,f1756,f767,f3544]) ).
fof(f767,plain,
( spl31_49
<=> r1_filter_2(u1_struct_0(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_49])]) ).
fof(f1811,plain,
( ~ r1_filter_2(k1_filter_2(sK2),k1_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2)))
| spl31_49
| ~ spl31_204
| ~ spl31_206 ),
inference(forward_demodulation,[],[f1792,f1790]) ).
fof(f1790,plain,
( k17_filter_2(sK2) = k1_filter_2(sK2)
| ~ spl31_204
| ~ spl31_206 ),
inference(superposition,[],[f1788,f1758]) ).
fof(f1792,plain,
( ~ r1_filter_2(k1_filter_2(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2)))
| spl31_49
| ~ spl31_206 ),
inference(superposition,[],[f769,f1788]) ).
fof(f769,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2)))
| spl31_49 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f3542,plain,
( spl31_387
| ~ spl31_156
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1487,f1461,f1386,f3540]) ).
fof(f1487,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_156
| ~ spl31_167 ),
inference(resolution,[],[f1462,f1387]) ).
fof(f3538,plain,
( spl31_386
| ~ spl31_157
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1486,f1461,f1390,f3536]) ).
fof(f1486,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,X2)
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ m2_lattice4(X2,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_157
| ~ spl31_167 ),
inference(resolution,[],[f1462,f1391]) ).
fof(f3502,plain,
( spl31_385
| ~ spl31_173
| ~ spl31_180 ),
inference(avatar_split_clause,[],[f1625,f1611,f1546,f3500]) ).
fof(f1625,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK16(X1,X0,X2) = X1 )
| ~ spl31_173
| ~ spl31_180 ),
inference(duplicate_literal_removal,[],[f1620]) ).
fof(f1620,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK16(X1,X0,X2) = X1
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_173
| ~ spl31_180 ),
inference(resolution,[],[f1612,f1547]) ).
fof(f3498,plain,
( spl31_384
| ~ spl31_172
| ~ spl31_179 ),
inference(avatar_split_clause,[],[f1619,f1607,f1542,f3496]) ).
fof(f1619,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK15(X2,X0,X1) = X2 )
| ~ spl31_172
| ~ spl31_179 ),
inference(duplicate_literal_removal,[],[f1614]) ).
fof(f1614,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sK15(X2,X0,X1) = X2
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_172
| ~ spl31_179 ),
inference(resolution,[],[f1608,f1543]) ).
fof(f3494,plain,
( spl31_383
| ~ spl31_117
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1513,f1502,f1124,f3492]) ).
fof(f3492,plain,
( spl31_383
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_383])]) ).
fof(f1513,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| r1_filter_2(u1_struct_0(X0),sK4(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_169 ),
inference(resolution,[],[f1503,f1125]) ).
fof(f3466,plain,
( spl31_382
| ~ spl31_86
| ~ spl31_180 ),
inference(avatar_split_clause,[],[f1622,f1611,f946,f3464]) ).
fof(f1622,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(a_2_0_filter_2(X0,X2),X1) )
| ~ spl31_86
| ~ spl31_180 ),
inference(resolution,[],[f1612,f947]) ).
fof(f3462,plain,
( spl31_381
| ~ spl31_87
| ~ spl31_180 ),
inference(avatar_split_clause,[],[f1621,f1611,f950,f3460]) ).
fof(f3460,plain,
( spl31_381
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,a_2_0_filter_2(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_381])]) ).
fof(f1621,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,a_2_0_filter_2(X0,X2)) )
| ~ spl31_87
| ~ spl31_180 ),
inference(resolution,[],[f1612,f951]) ).
fof(f3458,plain,
( spl31_380
| ~ spl31_86
| ~ spl31_179 ),
inference(avatar_split_clause,[],[f1616,f1607,f946,f3456]) ).
fof(f1616,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r2_hidden(a_2_0_filter_0(X0,X1),X2) )
| ~ spl31_86
| ~ spl31_179 ),
inference(resolution,[],[f1608,f947]) ).
fof(f3454,plain,
( spl31_379
| ~ spl31_87
| ~ spl31_179 ),
inference(avatar_split_clause,[],[f1615,f1607,f950,f3452]) ).
fof(f3452,plain,
( spl31_379
<=> ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X2,a_2_0_filter_0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_379])]) ).
fof(f1615,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X2,a_2_0_filter_0(X0,X1)) )
| ~ spl31_87
| ~ spl31_179 ),
inference(resolution,[],[f1608,f951]) ).
fof(f3450,plain,
( spl31_378
| ~ spl31_127
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1485,f1461,f1165,f3448]) ).
fof(f1485,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_filter_2(k2_zfmisc_1(X0,X1),X2,X3)
| X2 = X3
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl31_127
| ~ spl31_167 ),
inference(resolution,[],[f1462,f1166]) ).
fof(f3438,plain,
( ~ spl31_377
| ~ spl31_86
| ~ spl31_365 ),
inference(avatar_split_clause,[],[f3355,f3301,f946,f3435]) ).
fof(f3435,plain,
( spl31_377
<=> r2_hidden(k1_filter_2(sK2),k5_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_377])]) ).
fof(f3301,plain,
( spl31_365
<=> r2_hidden(k5_lattices(sK2),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_365])]) ).
fof(f3355,plain,
( ~ r2_hidden(k1_filter_2(sK2),k5_lattices(sK2))
| ~ spl31_86
| ~ spl31_365 ),
inference(resolution,[],[f3303,f947]) ).
fof(f3303,plain,
( r2_hidden(k5_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_365 ),
inference(avatar_component_clause,[],[f3301]) ).
fof(f3412,plain,
( spl31_376
| ~ spl31_84
| ~ spl31_180 ),
inference(avatar_split_clause,[],[f1623,f1611,f929,f3410]) ).
fof(f929,plain,
( spl31_84
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_84])]) ).
fof(f1623,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(a_2_0_filter_2(X0,X2)) )
| ~ spl31_84
| ~ spl31_180 ),
inference(resolution,[],[f1612,f930]) ).
fof(f930,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl31_84 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f3408,plain,
( spl31_375
| ~ spl31_84
| ~ spl31_179 ),
inference(avatar_split_clause,[],[f1617,f1607,f929,f3406]) ).
fof(f1617,plain,
( ! [X2,X0,X1] :
( ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(a_2_0_filter_0(X0,X1)) )
| ~ spl31_84
| ~ spl31_179 ),
inference(resolution,[],[f1608,f930]) ).
fof(f3404,plain,
( spl31_374
| ~ spl31_117
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1489,f1461,f1124,f3402]) ).
fof(f3402,plain,
( spl31_374
<=> ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| sK4(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_374])]) ).
fof(f1489,plain,
( ! [X0,X1] :
( ~ r1_filter_2(u1_struct_0(X0),X1,sK4(X0))
| sK4(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_167 ),
inference(resolution,[],[f1462,f1125]) ).
fof(f3397,plain,
( spl31_373
| ~ spl31_101
| ~ spl31_166 ),
inference(avatar_split_clause,[],[f1483,f1457,f1013,f3395]) ).
fof(f1483,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| r2_hidden(k5_filter_2(X1,X0),u1_struct_0(k1_lattice2(X1))) )
| ~ spl31_101
| ~ spl31_166 ),
inference(resolution,[],[f1458,f1014]) ).
fof(f3332,plain,
( spl31_372
| ~ spl31_108
| ~ spl31_171 ),
inference(avatar_split_clause,[],[f1540,f1526,f1073,f3330]) ).
fof(f1540,plain,
( ! [X0] :
( k2_filter_2(X0,k6_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_171 ),
inference(duplicate_literal_removal,[],[f1535]) ).
fof(f1535,plain,
( ! [X0] :
( k2_filter_2(X0,k6_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_171 ),
inference(resolution,[],[f1527,f1074]) ).
fof(f3328,plain,
( spl31_371
| ~ spl31_109
| ~ spl31_171 ),
inference(avatar_split_clause,[],[f1539,f1526,f1077,f3326]) ).
fof(f1539,plain,
( ! [X0] :
( k2_filter_2(X0,k5_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_171 ),
inference(duplicate_literal_removal,[],[f1537]) ).
fof(f1537,plain,
( ! [X0] :
( k2_filter_2(X0,k5_lattices(X0)) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_171 ),
inference(resolution,[],[f1527,f1078]) ).
fof(f3324,plain,
( spl31_370
| ~ spl31_65
| ~ spl31_171 ),
inference(avatar_split_clause,[],[f1538,f1526,f832,f3322]) ).
fof(f1538,plain,
( ! [X0] :
( k2_filter_2(X0,sK10(u1_struct_0(X0))) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_171 ),
inference(resolution,[],[f1527,f833]) ).
fof(f3320,plain,
( spl31_369
| ~ spl31_108
| ~ spl31_170 ),
inference(avatar_split_clause,[],[f1534,f1522,f1073,f3318]) ).
fof(f1534,plain,
( ! [X0] :
( k18_filter_2(X0,k6_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_170 ),
inference(duplicate_literal_removal,[],[f1529]) ).
fof(f1529,plain,
( ! [X0] :
( k18_filter_2(X0,k6_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_170 ),
inference(resolution,[],[f1523,f1074]) ).
fof(f3316,plain,
( spl31_368
| ~ spl31_109
| ~ spl31_170 ),
inference(avatar_split_clause,[],[f1533,f1522,f1077,f3314]) ).
fof(f1533,plain,
( ! [X0] :
( k18_filter_2(X0,k5_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_170 ),
inference(duplicate_literal_removal,[],[f1531]) ).
fof(f1531,plain,
( ! [X0] :
( k18_filter_2(X0,k5_lattices(X0)) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k5_lattices(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_170 ),
inference(resolution,[],[f1523,f1078]) ).
fof(f3312,plain,
( spl31_367
| ~ spl31_65
| ~ spl31_170 ),
inference(avatar_split_clause,[],[f1532,f1522,f832,f3310]) ).
fof(f1532,plain,
( ! [X0] :
( k18_filter_2(X0,sK10(u1_struct_0(X0))) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,sK10(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_170 ),
inference(resolution,[],[f1523,f833]) ).
fof(f3308,plain,
( spl31_366
| ~ spl31_116
| ~ spl31_135 ),
inference(avatar_split_clause,[],[f1267,f1222,f1120,f3306]) ).
fof(f3306,plain,
( spl31_366
<=> ! [X0] :
( ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(k1_lattice2(X0))
| v15_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_366])]) ).
fof(f1120,plain,
( spl31_116
<=> ! [X0] :
( v15_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_116])]) ).
fof(f1267,plain,
( ! [X0] :
( ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(k1_lattice2(X0))
| v15_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0)) )
| ~ spl31_116
| ~ spl31_135 ),
inference(resolution,[],[f1223,f1121]) ).
fof(f1121,plain,
( ! [X0] :
( ~ v13_lattices(X0)
| ~ v14_lattices(X0)
| v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl31_116 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f3304,plain,
( spl31_365
| spl31_234
| ~ spl31_101
| ~ spl31_358 ),
inference(avatar_split_clause,[],[f3223,f3129,f1013,f1979,f3301]) ).
fof(f3223,plain,
( v1_xboole_0(k1_filter_2(sK2))
| r2_hidden(k5_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_101
| ~ spl31_358 ),
inference(resolution,[],[f3131,f1014]) ).
fof(f3239,plain,
( spl31_364
| ~ spl31_65
| ~ spl31_174 ),
inference(avatar_split_clause,[],[f1576,f1554,f832,f3237]) ).
fof(f1554,plain,
( spl31_174
<=> ! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_174])]) ).
fof(f1576,plain,
( ! [X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_174 ),
inference(resolution,[],[f1555,f833]) ).
fof(f1555,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_174 ),
inference(avatar_component_clause,[],[f1554]) ).
fof(f3235,plain,
( spl31_363
| ~ spl31_65
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1514,f1502,f832,f3233]) ).
fof(f3233,plain,
( spl31_363
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK10(k1_zfmisc_1(X0)))
| r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_363])]) ).
fof(f1514,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK10(k1_zfmisc_1(X0)))
| r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_65
| ~ spl31_169 ),
inference(resolution,[],[f1503,f833]) ).
fof(f3231,plain,
( spl31_362
| ~ spl31_101
| ~ spl31_157 ),
inference(avatar_split_clause,[],[f1402,f1390,f1013,f3229]) ).
fof(f1402,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl31_101
| ~ spl31_157 ),
inference(resolution,[],[f1391,f1014]) ).
fof(f3227,plain,
( spl31_361
| ~ spl31_101
| ~ spl31_156 ),
inference(avatar_split_clause,[],[f1398,f1386,f1013,f3225]) ).
fof(f1398,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X0,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl31_101
| ~ spl31_156 ),
inference(resolution,[],[f1387,f1014]) ).
fof(f3222,plain,
( spl31_360
| ~ spl31_71
| ~ spl31_152 ),
inference(avatar_split_clause,[],[f1366,f1354,f876,f3220]) ).
fof(f876,plain,
( spl31_71
<=> ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_71])]) ).
fof(f1354,plain,
( spl31_152
<=> ! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_152])]) ).
fof(f1366,plain,
( ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_71
| ~ spl31_152 ),
inference(resolution,[],[f1355,f877]) ).
fof(f877,plain,
( ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_71 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f1355,plain,
( ! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) )
| ~ spl31_152 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f3218,plain,
( spl31_359
| ~ spl31_75
| ~ spl31_152 ),
inference(avatar_split_clause,[],[f1365,f1354,f892,f3216]) ).
fof(f3216,plain,
( spl31_359
<=> ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_359])]) ).
fof(f892,plain,
( spl31_75
<=> ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_75])]) ).
fof(f1365,plain,
( ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP1(X0) )
| ~ spl31_75
| ~ spl31_152 ),
inference(resolution,[],[f1355,f893]) ).
fof(f893,plain,
( ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP1(X0) )
| ~ spl31_75 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f3132,plain,
( spl31_358
| ~ spl31_213
| ~ spl31_352 ),
inference(avatar_split_clause,[],[f3049,f3045,f1854,f3129]) ).
fof(f3045,plain,
( spl31_352
<=> m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_352])]) ).
fof(f3049,plain,
( m1_subset_1(k5_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_213
| ~ spl31_352 ),
inference(forward_demodulation,[],[f3047,f1856]) ).
fof(f3047,plain,
( m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| ~ spl31_352 ),
inference(avatar_component_clause,[],[f3045]) ).
fof(f3069,plain,
( spl31_357
| ~ spl31_94
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1508,f1502,f978,f3067]) ).
fof(f1508,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(X0,X1,X2)
| r1_filter_2(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl31_94
| ~ spl31_169 ),
inference(resolution,[],[f1503,f979]) ).
fof(f3065,plain,
( spl31_356
| ~ spl31_65
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1490,f1461,f832,f3063]) ).
fof(f3063,plain,
( spl31_356
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK10(k1_zfmisc_1(X0)))
| sK10(k1_zfmisc_1(X0)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_356])]) ).
fof(f1490,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK10(k1_zfmisc_1(X0)))
| sK10(k1_zfmisc_1(X0)) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_65
| ~ spl31_167 ),
inference(resolution,[],[f1462,f833]) ).
fof(f3061,plain,
( spl31_355
| ~ spl31_108
| ~ spl31_165 ),
inference(avatar_split_clause,[],[f1478,f1453,f1073,f3059]) ).
fof(f1478,plain,
( ! [X0] :
( k2_filter_0(X0,k6_lattices(X0)) = k2_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_165 ),
inference(duplicate_literal_removal,[],[f1474]) ).
fof(f1474,plain,
( ! [X0] :
( k2_filter_0(X0,k6_lattices(X0)) = k2_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_165 ),
inference(resolution,[],[f1454,f1074]) ).
fof(f3057,plain,
( spl31_354
| ~ spl31_109
| ~ spl31_165 ),
inference(avatar_split_clause,[],[f1477,f1453,f1077,f3055]) ).
fof(f1477,plain,
( ! [X0] :
( k2_filter_0(X0,k5_lattices(X0)) = k2_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_165 ),
inference(duplicate_literal_removal,[],[f1475]) ).
fof(f1475,plain,
( ! [X0] :
( k2_filter_0(X0,k5_lattices(X0)) = k2_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_165 ),
inference(resolution,[],[f1454,f1078]) ).
fof(f3053,plain,
( spl31_353
| ~ spl31_65
| ~ spl31_165 ),
inference(avatar_split_clause,[],[f1476,f1453,f832,f3051]) ).
fof(f1476,plain,
( ! [X0] :
( k2_filter_0(X0,sK10(u1_struct_0(X0))) = k2_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_165 ),
inference(resolution,[],[f1454,f833]) ).
fof(f3048,plain,
( spl31_1
| ~ spl31_66
| spl31_352
| ~ spl31_109
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1763,f1756,f1077,f3045,f850,f527]) ).
fof(f1763,plain,
( m1_subset_1(k5_lattices(sK2),k17_filter_2(sK2))
| ~ l1_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_109
| ~ spl31_204 ),
inference(superposition,[],[f1078,f1758]) ).
fof(f3043,plain,
( spl31_351
| ~ spl31_108
| ~ spl31_164 ),
inference(avatar_split_clause,[],[f1473,f1449,f1073,f3041]) ).
fof(f1473,plain,
( ! [X0] :
( k18_filter_2(X0,k6_lattices(X0)) = a_2_0_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_164 ),
inference(duplicate_literal_removal,[],[f1469]) ).
fof(f1469,plain,
( ! [X0] :
( k18_filter_2(X0,k6_lattices(X0)) = a_2_0_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_164 ),
inference(resolution,[],[f1450,f1074]) ).
fof(f3039,plain,
( spl31_350
| ~ spl31_109
| ~ spl31_164 ),
inference(avatar_split_clause,[],[f1472,f1449,f1077,f3037]) ).
fof(f1472,plain,
( ! [X0] :
( k18_filter_2(X0,k5_lattices(X0)) = a_2_0_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_164 ),
inference(duplicate_literal_removal,[],[f1470]) ).
fof(f1470,plain,
( ! [X0] :
( k18_filter_2(X0,k5_lattices(X0)) = a_2_0_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_164 ),
inference(resolution,[],[f1450,f1078]) ).
fof(f3035,plain,
( spl31_349
| ~ spl31_65
| ~ spl31_164 ),
inference(avatar_split_clause,[],[f1471,f1449,f832,f3033]) ).
fof(f1471,plain,
( ! [X0] :
( k18_filter_2(X0,sK10(u1_struct_0(X0))) = a_2_0_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_164 ),
inference(resolution,[],[f1450,f833]) ).
fof(f3031,plain,
( spl31_348
| ~ spl31_108
| ~ spl31_163 ),
inference(avatar_split_clause,[],[f1468,f1445,f1073,f3029]) ).
fof(f1468,plain,
( ! [X0] :
( k2_filter_0(X0,k6_lattices(X0)) = a_2_0_filter_0(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_163 ),
inference(duplicate_literal_removal,[],[f1464]) ).
fof(f1464,plain,
( ! [X0] :
( k2_filter_0(X0,k6_lattices(X0)) = a_2_0_filter_0(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_163 ),
inference(resolution,[],[f1446,f1074]) ).
fof(f3027,plain,
( spl31_347
| ~ spl31_109
| ~ spl31_163 ),
inference(avatar_split_clause,[],[f1467,f1445,f1077,f3025]) ).
fof(f1467,plain,
( ! [X0] :
( k2_filter_0(X0,k5_lattices(X0)) = a_2_0_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_163 ),
inference(duplicate_literal_removal,[],[f1465]) ).
fof(f1465,plain,
( ! [X0] :
( k2_filter_0(X0,k5_lattices(X0)) = a_2_0_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_163 ),
inference(resolution,[],[f1446,f1078]) ).
fof(f3023,plain,
( spl31_346
| ~ spl31_65
| ~ spl31_163 ),
inference(avatar_split_clause,[],[f1466,f1445,f832,f3021]) ).
fof(f1466,plain,
( ! [X0] :
( k2_filter_0(X0,sK10(u1_struct_0(X0))) = a_2_0_filter_0(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_163 ),
inference(resolution,[],[f1446,f833]) ).
fof(f3019,plain,
( spl31_345
| ~ spl31_129
| ~ spl31_157 ),
inference(avatar_split_clause,[],[f1399,f1390,f1173,f3017]) ).
fof(f3017,plain,
( spl31_345
<=> ! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),X0,X0)
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_345])]) ).
fof(f1399,plain,
( ! [X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),X0,X0)
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl31_129
| ~ spl31_157 ),
inference(resolution,[],[f1391,f1174]) ).
fof(f3015,plain,
( spl31_344
| ~ spl31_129
| ~ spl31_156 ),
inference(avatar_split_clause,[],[f1395,f1386,f1173,f3013]) ).
fof(f3013,plain,
( spl31_344
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),X0,X0)
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_344])]) ).
fof(f1395,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_filter_2(u1_struct_0(X1),X0,X0)
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl31_129
| ~ spl31_156 ),
inference(resolution,[],[f1387,f1174]) ).
fof(f2957,plain,
( spl31_343
| ~ spl31_90
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1516,f1502,f962,f2955]) ).
fof(f2955,plain,
( spl31_343
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK3(X0))
| r1_filter_2(X0,sK3(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_343])]) ).
fof(f1516,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK3(X0))
| r1_filter_2(X0,sK3(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_169 ),
inference(duplicate_literal_removal,[],[f1512]) ).
fof(f1512,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK3(X0))
| r1_filter_2(X0,sK3(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_169 ),
inference(resolution,[],[f1503,f963]) ).
fof(f2953,plain,
( spl31_342
| ~ spl31_94
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1484,f1461,f978,f2951]) ).
fof(f1484,plain,
( ! [X2,X0,X1] :
( ~ r1_filter_2(X0,X1,X2)
| X1 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl31_94
| ~ spl31_167 ),
inference(resolution,[],[f1462,f979]) ).
fof(f2949,plain,
( spl31_341
| ~ spl31_128
| ~ spl31_157 ),
inference(avatar_split_clause,[],[f1400,f1390,f1169,f2947]) ).
fof(f1400,plain,
( ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_128
| ~ spl31_157 ),
inference(resolution,[],[f1391,f1170]) ).
fof(f2945,plain,
( spl31_340
| ~ spl31_128
| ~ spl31_156 ),
inference(avatar_split_clause,[],[f1396,f1386,f1169,f2943]) ).
fof(f1396,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_128
| ~ spl31_156 ),
inference(resolution,[],[f1387,f1170]) ).
fof(f2941,plain,
( spl31_339
| ~ spl31_72
| ~ spl31_146 ),
inference(avatar_split_clause,[],[f1330,f1304,f880,f2939]) ).
fof(f1304,plain,
( spl31_146
<=> ! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_146])]) ).
fof(f1330,plain,
( ! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_146 ),
inference(resolution,[],[f1305,f881]) ).
fof(f1305,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) )
| ~ spl31_146 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f2924,plain,
( ~ spl31_338
| ~ spl31_86
| ~ spl31_329 ),
inference(avatar_split_clause,[],[f2855,f2813,f946,f2921]) ).
fof(f2921,plain,
( spl31_338
<=> r2_hidden(k1_filter_2(sK2),k6_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_338])]) ).
fof(f2813,plain,
( spl31_329
<=> r2_hidden(k6_lattices(sK2),k1_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_329])]) ).
fof(f2855,plain,
( ~ r2_hidden(k1_filter_2(sK2),k6_lattices(sK2))
| ~ spl31_86
| ~ spl31_329 ),
inference(resolution,[],[f2815,f947]) ).
fof(f2815,plain,
( r2_hidden(k6_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_329 ),
inference(avatar_component_clause,[],[f2813]) ).
fof(f2848,plain,
( spl31_337
| ~ spl31_90
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1492,f1461,f962,f2846]) ).
fof(f2846,plain,
( spl31_337
<=> ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK3(X0))
| sK3(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_337])]) ).
fof(f1492,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK3(X0))
| sK3(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_167 ),
inference(duplicate_literal_removal,[],[f1488]) ).
fof(f1488,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK3(X0))
| sK3(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_167 ),
inference(resolution,[],[f1462,f963]) ).
fof(f2844,plain,
( spl31_336
| ~ spl31_150
| ~ spl31_161 ),
inference(avatar_split_clause,[],[f1441,f1416,f1320,f2842]) ).
fof(f1320,plain,
( spl31_150
<=> ! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_150])]) ).
fof(f1441,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_2(k2_filter_0(X1,X0),X1) )
| ~ spl31_150
| ~ spl31_161 ),
inference(duplicate_literal_removal,[],[f1438]) ).
fof(f1438,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_2(k2_filter_0(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_150
| ~ spl31_161 ),
inference(resolution,[],[f1417,f1321]) ).
fof(f1321,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_150 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f2840,plain,
( spl31_335
| ~ spl31_149
| ~ spl31_160 ),
inference(avatar_split_clause,[],[f1437,f1412,f1316,f2838]) ).
fof(f1316,plain,
( spl31_149
<=> ! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_149])]) ).
fof(f1437,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(k2_filter_2(X1,X0),X1) )
| ~ spl31_149
| ~ spl31_160 ),
inference(duplicate_literal_removal,[],[f1432]) ).
fof(f1432,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_filter_0(k2_filter_2(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_149
| ~ spl31_160 ),
inference(resolution,[],[f1413,f1317]) ).
fof(f1317,plain,
( ! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_149 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f2836,plain,
( spl31_334
| ~ spl31_148
| ~ spl31_160 ),
inference(avatar_split_clause,[],[f1436,f1412,f1312,f2834]) ).
fof(f1436,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(k2_filter_2(X1,X0),X1) )
| ~ spl31_148
| ~ spl31_160 ),
inference(duplicate_literal_removal,[],[f1433]) ).
fof(f1433,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(k2_filter_2(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_148
| ~ spl31_160 ),
inference(resolution,[],[f1413,f1313]) ).
fof(f2832,plain,
( spl31_333
| ~ spl31_147
| ~ spl31_159 ),
inference(avatar_split_clause,[],[f1431,f1408,f1308,f2830]) ).
fof(f1308,plain,
( spl31_147
<=> ! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_147])]) ).
fof(f1431,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(k18_filter_2(X1,X0),X1) )
| ~ spl31_147
| ~ spl31_159 ),
inference(duplicate_literal_removal,[],[f1428]) ).
fof(f1428,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m2_lattice4(k18_filter_2(X1,X0),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_147
| ~ spl31_159 ),
inference(resolution,[],[f1409,f1309]) ).
fof(f1309,plain,
( ! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_147 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f2828,plain,
( spl31_332
| ~ spl31_108
| ~ spl31_158 ),
inference(avatar_split_clause,[],[f1427,f1404,f1073,f2826]) ).
fof(f1427,plain,
( ! [X0] :
( k6_lattices(X0) = k5_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0) )
| ~ spl31_108
| ~ spl31_158 ),
inference(duplicate_literal_removal,[],[f1423]) ).
fof(f1423,plain,
( ! [X0] :
( k6_lattices(X0) = k5_filter_2(X0,k6_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l2_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_108
| ~ spl31_158 ),
inference(resolution,[],[f1405,f1074]) ).
fof(f2824,plain,
( spl31_331
| ~ spl31_109
| ~ spl31_158 ),
inference(avatar_split_clause,[],[f1426,f1404,f1077,f2822]) ).
fof(f1426,plain,
( ! [X0] :
( k5_lattices(X0) = k5_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0) )
| ~ spl31_109
| ~ spl31_158 ),
inference(duplicate_literal_removal,[],[f1424]) ).
fof(f1424,plain,
( ! [X0] :
( k5_lattices(X0) = k5_filter_2(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_109
| ~ spl31_158 ),
inference(resolution,[],[f1405,f1078]) ).
fof(f2820,plain,
( spl31_330
| ~ spl31_65
| ~ spl31_158 ),
inference(avatar_split_clause,[],[f1425,f1404,f832,f2818]) ).
fof(f1425,plain,
( ! [X0] :
( sK10(u1_struct_0(X0)) = k5_filter_2(X0,sK10(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_65
| ~ spl31_158 ),
inference(resolution,[],[f1405,f833]) ).
fof(f2816,plain,
( spl31_329
| spl31_234
| ~ spl31_101
| ~ spl31_315 ),
inference(avatar_split_clause,[],[f2717,f2662,f1013,f1979,f2813]) ).
fof(f2717,plain,
( v1_xboole_0(k1_filter_2(sK2))
| r2_hidden(k6_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_101
| ~ spl31_315 ),
inference(resolution,[],[f2664,f1014]) ).
fof(f2811,plain,
( spl31_328
| ~ spl31_115
| ~ spl31_157 ),
inference(avatar_split_clause,[],[f1401,f1390,f1101,f2809]) ).
fof(f1401,plain,
( ! [X2,X0,X1] :
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_115
| ~ spl31_157 ),
inference(resolution,[],[f1391,f1102]) ).
fof(f2807,plain,
( spl31_327
| ~ spl31_115
| ~ spl31_156 ),
inference(avatar_split_clause,[],[f1397,f1386,f1101,f2805]) ).
fof(f1397,plain,
( ! [X2,X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,X0) )
| ~ spl31_115
| ~ spl31_156 ),
inference(resolution,[],[f1387,f1102]) ).
fof(f2803,plain,
( spl31_326
| ~ spl31_72
| ~ spl31_134 ),
inference(avatar_split_clause,[],[f1260,f1218,f880,f2801]) ).
fof(f1218,plain,
( spl31_134
<=> ! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_134])]) ).
fof(f1260,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_134 ),
inference(resolution,[],[f1219,f881]) ).
fof(f1219,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_134 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f2799,plain,
( spl31_325
| ~ spl31_72
| ~ spl31_133 ),
inference(avatar_split_clause,[],[f1253,f1214,f880,f2797]) ).
fof(f1214,plain,
( spl31_133
<=> ! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_133])]) ).
fof(f1253,plain,
( ! [X0] :
( u1_struct_0(k1_lattice2(X0)) = k17_filter_2(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_133 ),
inference(resolution,[],[f1215,f881]) ).
fof(f1215,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| u1_struct_0(X0) = k17_filter_2(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_133 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f2795,plain,
( spl31_324
| ~ spl31_72
| ~ spl31_132 ),
inference(avatar_split_clause,[],[f1246,f1210,f880,f2793]) ).
fof(f1210,plain,
( spl31_132
<=> ! [X0] :
( k1_filter_0(X0) = k1_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_132])]) ).
fof(f1246,plain,
( ! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k1_filter_2(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_132 ),
inference(resolution,[],[f1211,f881]) ).
fof(f1211,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k1_filter_0(X0) = k1_filter_2(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_132 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f2791,plain,
( spl31_323
| ~ spl31_101
| ~ spl31_127 ),
inference(avatar_split_clause,[],[f1186,f1165,f1013,f2789]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl31_101
| ~ spl31_127 ),
inference(resolution,[],[f1166,f1014]) ).
fof(f2693,plain,
( spl31_322
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_169 ),
inference(avatar_split_clause,[],[f1520,f1502,f925,f884,f776,f577,f2691]) ).
fof(f1520,plain,
( ! [X0,X1] :
( r1_filter_2(X0,sK22,X1)
| ~ r1_filter_2(X0,X1,sK22)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_169 ),
inference(forward_demodulation,[],[f1519,f937]) ).
fof(f937,plain,
( k1_xboole_0 = sK22
| ~ spl31_11
| ~ spl31_73 ),
inference(resolution,[],[f885,f579]) ).
fof(f1519,plain,
( ! [X0,X1] :
( r1_filter_2(X0,k1_xboole_0,X1)
| ~ r1_filter_2(X0,X1,sK22)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_169 ),
inference(forward_demodulation,[],[f1518,f936]) ).
fof(f936,plain,
( ! [X0] : k1_xboole_0 = sK11(X0)
| ~ spl31_51
| ~ spl31_73 ),
inference(resolution,[],[f885,f777]) ).
fof(f1518,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK22)
| r1_filter_2(X0,sK11(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_169 ),
inference(forward_demodulation,[],[f1517,f937]) ).
fof(f1517,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,k1_xboole_0)
| r1_filter_2(X0,sK11(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_169 ),
inference(forward_demodulation,[],[f1515,f936]) ).
fof(f1515,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK11(X0))
| r1_filter_2(X0,sK11(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_83
| ~ spl31_169 ),
inference(resolution,[],[f1503,f926]) ).
fof(f2689,plain,
( spl31_321
| ~ spl31_139
| ~ spl31_161 ),
inference(avatar_split_clause,[],[f1440,f1416,f1238,f2687]) ).
fof(f1238,plain,
( spl31_139
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_139])]) ).
fof(f1440,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_0(X1,X0)) )
| ~ spl31_139
| ~ spl31_161 ),
inference(duplicate_literal_removal,[],[f1439]) ).
fof(f1439,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_0(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_139
| ~ spl31_161 ),
inference(resolution,[],[f1417,f1239]) ).
fof(f1239,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_139 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f2685,plain,
( spl31_320
| ~ spl31_138
| ~ spl31_160 ),
inference(avatar_split_clause,[],[f1435,f1412,f1234,f2683]) ).
fof(f1234,plain,
( spl31_138
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_138])]) ).
fof(f1435,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_2(X1,X0)) )
| ~ spl31_138
| ~ spl31_160 ),
inference(duplicate_literal_removal,[],[f1434]) ).
fof(f1434,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k2_filter_2(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_138
| ~ spl31_160 ),
inference(resolution,[],[f1413,f1235]) ).
fof(f1235,plain,
( ! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_138 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f2681,plain,
( spl31_319
| ~ spl31_137
| ~ spl31_159 ),
inference(avatar_split_clause,[],[f1430,f1408,f1230,f2679]) ).
fof(f1230,plain,
( spl31_137
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_137])]) ).
fof(f1430,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k18_filter_2(X1,X0)) )
| ~ spl31_137
| ~ spl31_159 ),
inference(duplicate_literal_removal,[],[f1429]) ).
fof(f1429,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(k18_filter_2(X1,X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl31_137
| ~ spl31_159 ),
inference(resolution,[],[f1409,f1231]) ).
fof(f1231,plain,
( ! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_137 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f2677,plain,
( spl31_318
| ~ spl31_117
| ~ spl31_129 ),
inference(avatar_split_clause,[],[f1203,f1173,f1124,f2675]) ).
fof(f2675,plain,
( spl31_318
<=> ! [X0] :
( r1_filter_2(u1_struct_0(X0),sK4(X0),sK4(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_318])]) ).
fof(f1203,plain,
( ! [X0] :
( r1_filter_2(u1_struct_0(X0),sK4(X0),sK4(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl31_117
| ~ spl31_129 ),
inference(resolution,[],[f1174,f1125]) ).
fof(f2673,plain,
( spl31_317
| ~ spl31_127
| ~ spl31_129 ),
inference(avatar_split_clause,[],[f1201,f1173,f1165,f2671]) ).
fof(f2671,plain,
( spl31_317
<=> ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_317])]) ).
fof(f1201,plain,
( ! [X2,X0,X1] :
( r1_filter_2(k2_zfmisc_1(X0,X1),X2,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl31_127
| ~ spl31_129 ),
inference(resolution,[],[f1174,f1166]) ).
fof(f2669,plain,
( spl31_316
| ~ spl31_101
| ~ spl31_117 ),
inference(avatar_split_clause,[],[f1183,f1124,f1013,f2667]) ).
fof(f1183,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK4(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl31_101
| ~ spl31_117 ),
inference(resolution,[],[f1125,f1014]) ).
fof(f2665,plain,
( spl31_315
| ~ spl31_213
| ~ spl31_310 ),
inference(avatar_split_clause,[],[f2580,f2576,f1854,f2662]) ).
fof(f2576,plain,
( spl31_310
<=> m1_subset_1(k6_lattices(sK2),k17_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_310])]) ).
fof(f2580,plain,
( m1_subset_1(k6_lattices(sK2),k1_filter_2(sK2))
| ~ spl31_213
| ~ spl31_310 ),
inference(forward_demodulation,[],[f2578,f1856]) ).
fof(f2578,plain,
( m1_subset_1(k6_lattices(sK2),k17_filter_2(sK2))
| ~ spl31_310 ),
inference(avatar_component_clause,[],[f2576]) ).
fof(f2600,plain,
( spl31_314
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_167 ),
inference(avatar_split_clause,[],[f1496,f1461,f925,f884,f776,f577,f2598]) ).
fof(f1496,plain,
( ! [X0,X1] :
( sK22 = X1
| ~ r1_filter_2(X0,X1,sK22)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_167 ),
inference(forward_demodulation,[],[f1495,f937]) ).
fof(f1495,plain,
( ! [X0,X1] :
( k1_xboole_0 = X1
| ~ r1_filter_2(X0,X1,sK22)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_167 ),
inference(forward_demodulation,[],[f1494,f936]) ).
fof(f1494,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK22)
| sK11(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_167 ),
inference(forward_demodulation,[],[f1493,f937]) ).
fof(f1493,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,k1_xboole_0)
| sK11(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_167 ),
inference(forward_demodulation,[],[f1491,f936]) ).
fof(f1491,plain,
( ! [X0,X1] :
( ~ r1_filter_2(X0,X1,sK11(X0))
| sK11(X0) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_83
| ~ spl31_167 ),
inference(resolution,[],[f1462,f926]) ).
fof(f2595,plain,
( spl31_313
| ~ spl31_254
| ~ spl31_312 ),
inference(avatar_split_clause,[],[f2590,f2586,f2090,f2592]) ).
fof(f2090,plain,
( spl31_254
<=> k1_filter_0(sK26) = k1_filter_2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_254])]) ).
fof(f2586,plain,
( spl31_312
<=> k1_filter_0(sK26) = k2_filter_0(sK26,k5_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_312])]) ).
fof(f2590,plain,
( k1_filter_2(sK26) = k2_filter_0(sK26,k5_lattices(sK26))
| ~ spl31_254
| ~ spl31_312 ),
inference(forward_demodulation,[],[f2588,f2092]) ).
fof(f2092,plain,
( k1_filter_0(sK26) = k1_filter_2(sK26)
| ~ spl31_254 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2588,plain,
( k1_filter_0(sK26) = k2_filter_0(sK26,k5_lattices(sK26))
| ~ spl31_312 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f2589,plain,
( spl31_28
| ~ spl31_36
| spl31_312
| ~ spl31_27
| ~ spl31_37
| ~ spl31_162 ),
inference(avatar_split_clause,[],[f1442,f1420,f707,f657,f2586,f702,f662]) ).
fof(f707,plain,
( spl31_37
<=> v13_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_37])]) ).
fof(f1442,plain,
( ~ l3_lattices(sK26)
| k1_filter_0(sK26) = k2_filter_0(sK26,k5_lattices(sK26))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_37
| ~ spl31_162 ),
inference(resolution,[],[f1421,f709]) ).
fof(f709,plain,
( v13_lattices(sK26)
| ~ spl31_37 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f2584,plain,
( spl31_311
| ~ spl31_86
| ~ spl31_153 ),
inference(avatar_split_clause,[],[f1375,f1358,f946,f2582]) ).
fof(f2582,plain,
( spl31_311
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_311])]) ).
fof(f1375,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK12(X0,X1)) )
| ~ spl31_86
| ~ spl31_153 ),
inference(resolution,[],[f1359,f947]) ).
fof(f2579,plain,
( spl31_1
| ~ spl31_69
| spl31_310
| ~ spl31_108
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1762,f1756,f1073,f2576,f867,f527]) ).
fof(f1762,plain,
( m1_subset_1(k6_lattices(sK2),k17_filter_2(sK2))
| ~ l2_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_108
| ~ spl31_204 ),
inference(superposition,[],[f1074,f1758]) ).
fof(f2574,plain,
( spl31_309
| ~ spl31_87
| ~ spl31_153 ),
inference(avatar_split_clause,[],[f1374,f1358,f950,f2572]) ).
fof(f1374,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK12(X0,X1),X0) )
| ~ spl31_87
| ~ spl31_153 ),
inference(resolution,[],[f1359,f951]) ).
fof(f2570,plain,
( spl31_308
| ~ spl31_86
| ~ spl31_153 ),
inference(avatar_split_clause,[],[f1372,f1358,f946,f2568]) ).
fof(f2568,plain,
( spl31_308
<=> ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_308])]) ).
fof(f1372,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK12(X0,X1)) )
| ~ spl31_86
| ~ spl31_153 ),
inference(resolution,[],[f1359,f947]) ).
fof(f2566,plain,
( spl31_307
| ~ spl31_87
| ~ spl31_153 ),
inference(avatar_split_clause,[],[f1371,f1358,f950,f2564]) ).
fof(f1371,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X0)
| X0 = X1
| m1_subset_1(sK12(X0,X1),X1) )
| ~ spl31_87
| ~ spl31_153 ),
inference(resolution,[],[f1359,f951]) ).
fof(f2501,plain,
( ~ spl31_306
| spl31_49
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1760,f1756,f767,f2498]) ).
fof(f2498,plain,
( spl31_306
<=> r1_filter_2(k17_filter_2(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_306])]) ).
fof(f1760,plain,
( ~ r1_filter_2(k17_filter_2(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2)))
| spl31_49
| ~ spl31_204 ),
inference(superposition,[],[f769,f1758]) ).
fof(f2496,plain,
( spl31_28
| ~ spl31_36
| spl31_305
| ~ spl31_27
| ~ spl31_38
| ~ spl31_155 ),
inference(avatar_split_clause,[],[f1394,f1382,f712,f657,f2493,f702,f662]) ).
fof(f712,plain,
( spl31_38
<=> v14_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_38])]) ).
fof(f1382,plain,
( spl31_155
<=> ! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_155])]) ).
fof(f1394,plain,
( ~ l3_lattices(sK26)
| k6_lattices(sK26) = k5_lattices(k1_lattice2(sK26))
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_38
| ~ spl31_155 ),
inference(resolution,[],[f1383,f714]) ).
fof(f714,plain,
( v14_lattices(sK26)
| ~ spl31_38 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1383,plain,
( ! [X0] :
( ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_155 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f2491,plain,
( spl31_304
| ~ spl31_104
| ~ spl31_145 ),
inference(avatar_split_clause,[],[f1329,f1300,f1025,f2489]) ).
fof(f1329,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl31_104
| ~ spl31_145 ),
inference(resolution,[],[f1301,f1026]) ).
fof(f2487,plain,
( spl31_303
| ~ spl31_104
| ~ spl31_142 ),
inference(avatar_split_clause,[],[f1323,f1287,f1025,f2485]) ).
fof(f1323,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl31_104
| ~ spl31_142 ),
inference(resolution,[],[f1288,f1026]) ).
fof(f2483,plain,
( spl31_302
| ~ spl31_117
| ~ spl31_128 ),
inference(avatar_split_clause,[],[f1195,f1169,f1124,f2481]) ).
fof(f1195,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK4(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl31_117
| ~ spl31_128 ),
inference(resolution,[],[f1170,f1125]) ).
fof(f2479,plain,
( spl31_301
| ~ spl31_127
| ~ spl31_128 ),
inference(avatar_split_clause,[],[f1193,f1169,f1165,f2477]) ).
fof(f1193,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl31_127
| ~ spl31_128 ),
inference(resolution,[],[f1170,f1166]) ).
fof(f2475,plain,
( spl31_300
| ~ spl31_101
| ~ spl31_109 ),
inference(avatar_split_clause,[],[f1105,f1077,f1013,f2473]) ).
fof(f1105,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k5_lattices(X0),u1_struct_0(X0)) )
| ~ spl31_101
| ~ spl31_109 ),
inference(resolution,[],[f1078,f1014]) ).
fof(f2471,plain,
( spl31_299
| ~ spl31_101
| ~ spl31_108 ),
inference(avatar_split_clause,[],[f1104,f1073,f1013,f2469]) ).
fof(f1104,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k6_lattices(X0),u1_struct_0(X0)) )
| ~ spl31_101
| ~ spl31_108 ),
inference(resolution,[],[f1074,f1014]) ).
fof(f2455,plain,
( ~ spl31_40
| spl31_298
| ~ spl31_41
| ~ spl31_152 ),
inference(avatar_split_clause,[],[f1370,f1354,f727,f2452,f722]) ).
fof(f727,plain,
( spl31_41
<=> v3_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_41])]) ).
fof(f1370,plain,
( sK27 = g3_lattices(u1_struct_0(sK27),u2_lattices(sK27),u1_lattices(sK27))
| ~ l3_lattices(sK27)
| ~ spl31_41
| ~ spl31_152 ),
inference(resolution,[],[f1355,f729]) ).
fof(f729,plain,
( v3_lattices(sK27)
| ~ spl31_41 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f2444,plain,
( spl31_297
| ~ spl31_256
| ~ spl31_261
| ~ spl31_296 ),
inference(avatar_split_clause,[],[f2439,f2434,f2167,f2119,f2441]) ).
fof(f2434,plain,
( spl31_296
<=> sK26 = g3_lattices(u1_struct_0(sK26),u2_lattices(sK26),u1_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_296])]) ).
fof(f2439,plain,
( sK26 = g3_lattices(k1_filter_2(sK26),u2_lattices(sK26),u1_lattices(sK26))
| ~ spl31_256
| ~ spl31_261
| ~ spl31_296 ),
inference(forward_demodulation,[],[f2438,f2169]) ).
fof(f2438,plain,
( sK26 = g3_lattices(k17_filter_2(sK26),u2_lattices(sK26),u1_lattices(sK26))
| ~ spl31_256
| ~ spl31_296 ),
inference(forward_demodulation,[],[f2436,f2121]) ).
fof(f2436,plain,
( sK26 = g3_lattices(u1_struct_0(sK26),u2_lattices(sK26),u1_lattices(sK26))
| ~ spl31_296 ),
inference(avatar_component_clause,[],[f2434]) ).
fof(f2437,plain,
( ~ spl31_27
| spl31_296
| ~ spl31_29
| ~ spl31_152 ),
inference(avatar_split_clause,[],[f1369,f1354,f667,f2434,f657]) ).
fof(f667,plain,
( spl31_29
<=> v3_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_29])]) ).
fof(f1369,plain,
( sK26 = g3_lattices(u1_struct_0(sK26),u2_lattices(sK26),u1_lattices(sK26))
| ~ l3_lattices(sK26)
| ~ spl31_29
| ~ spl31_152 ),
inference(resolution,[],[f1355,f669]) ).
fof(f669,plain,
( v3_lattices(sK26)
| ~ spl31_29 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f2426,plain,
( spl31_295
| ~ spl31_255
| ~ spl31_258
| ~ spl31_294 ),
inference(avatar_split_clause,[],[f2421,f2416,f2149,f2096,f2423]) ).
fof(f2416,plain,
( spl31_294
<=> sK25 = g3_lattices(u1_struct_0(sK25),u2_lattices(sK25),u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_294])]) ).
fof(f2421,plain,
( sK25 = g3_lattices(k1_filter_2(sK25),u2_lattices(sK25),u1_lattices(sK25))
| ~ spl31_255
| ~ spl31_258
| ~ spl31_294 ),
inference(forward_demodulation,[],[f2420,f2151]) ).
fof(f2420,plain,
( sK25 = g3_lattices(k17_filter_2(sK25),u2_lattices(sK25),u1_lattices(sK25))
| ~ spl31_255
| ~ spl31_294 ),
inference(forward_demodulation,[],[f2418,f2098]) ).
fof(f2418,plain,
( sK25 = g3_lattices(u1_struct_0(sK25),u2_lattices(sK25),u1_lattices(sK25))
| ~ spl31_294 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f2419,plain,
( ~ spl31_17
| spl31_294
| ~ spl31_19
| ~ spl31_152 ),
inference(avatar_split_clause,[],[f1368,f1354,f617,f2416,f607]) ).
fof(f617,plain,
( spl31_19
<=> v3_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_19])]) ).
fof(f1368,plain,
( sK25 = g3_lattices(u1_struct_0(sK25),u2_lattices(sK25),u1_lattices(sK25))
| ~ l3_lattices(sK25)
| ~ spl31_19
| ~ spl31_152 ),
inference(resolution,[],[f1355,f619]) ).
fof(f619,plain,
( v3_lattices(sK25)
| ~ spl31_19 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f2408,plain,
( ~ spl31_14
| spl31_293
| ~ spl31_16
| ~ spl31_152 ),
inference(avatar_split_clause,[],[f1367,f1354,f602,f2405,f592]) ).
fof(f602,plain,
( spl31_16
<=> v3_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_16])]) ).
fof(f1367,plain,
( sK24 = g3_lattices(u1_struct_0(sK24),u2_lattices(sK24),u1_lattices(sK24))
| ~ l3_lattices(sK24)
| ~ spl31_16
| ~ spl31_152 ),
inference(resolution,[],[f1355,f604]) ).
fof(f604,plain,
( v3_lattices(sK24)
| ~ spl31_16 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f2403,plain,
( spl31_292
| ~ spl31_115
| ~ spl31_127 ),
inference(avatar_split_clause,[],[f1185,f1165,f1101,f2401]) ).
fof(f1185,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl31_115
| ~ spl31_127 ),
inference(resolution,[],[f1166,f1102]) ).
fof(f2399,plain,
( spl31_291
| ~ spl31_72
| ~ spl31_100 ),
inference(avatar_split_clause,[],[f1046,f1009,f880,f2397]) ).
fof(f1009,plain,
( spl31_100
<=> ! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_100])]) ).
fof(f1046,plain,
( ! [X0] :
( sP1(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_100 ),
inference(resolution,[],[f1010,f881]) ).
fof(f1010,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| sP1(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_100 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f2395,plain,
( spl31_290
| ~ spl31_72
| ~ spl31_99 ),
inference(avatar_split_clause,[],[f1039,f1005,f880,f2393]) ).
fof(f1005,plain,
( spl31_99
<=> ! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_99])]) ).
fof(f1039,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl31_72
| ~ spl31_99 ),
inference(resolution,[],[f1006,f881]) ).
fof(f1006,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) )
| ~ spl31_99 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f2325,plain,
( spl31_289
| ~ spl31_256
| ~ spl31_261
| ~ spl31_276 ),
inference(avatar_split_clause,[],[f2251,f2246,f2167,f2119,f2322]) ).
fof(f2246,plain,
( spl31_276
<=> k1_lattice2(sK26) = g3_lattices(u1_struct_0(sK26),u1_lattices(sK26),u2_lattices(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_276])]) ).
fof(f2251,plain,
( k1_lattice2(sK26) = g3_lattices(k1_filter_2(sK26),u1_lattices(sK26),u2_lattices(sK26))
| ~ spl31_256
| ~ spl31_261
| ~ spl31_276 ),
inference(forward_demodulation,[],[f2250,f2169]) ).
fof(f2250,plain,
( k1_lattice2(sK26) = g3_lattices(k17_filter_2(sK26),u1_lattices(sK26),u2_lattices(sK26))
| ~ spl31_256
| ~ spl31_276 ),
inference(forward_demodulation,[],[f2248,f2121]) ).
fof(f2248,plain,
( k1_lattice2(sK26) = g3_lattices(u1_struct_0(sK26),u1_lattices(sK26),u2_lattices(sK26))
| ~ spl31_276 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f2320,plain,
( spl31_288
| ~ spl31_255
| ~ spl31_258
| ~ spl31_275 ),
inference(avatar_split_clause,[],[f2244,f2239,f2149,f2096,f2317]) ).
fof(f2239,plain,
( spl31_275
<=> k1_lattice2(sK25) = g3_lattices(u1_struct_0(sK25),u1_lattices(sK25),u2_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_275])]) ).
fof(f2244,plain,
( k1_lattice2(sK25) = g3_lattices(k1_filter_2(sK25),u1_lattices(sK25),u2_lattices(sK25))
| ~ spl31_255
| ~ spl31_258
| ~ spl31_275 ),
inference(forward_demodulation,[],[f2243,f2151]) ).
fof(f2243,plain,
( k1_lattice2(sK25) = g3_lattices(k17_filter_2(sK25),u1_lattices(sK25),u2_lattices(sK25))
| ~ spl31_255
| ~ spl31_275 ),
inference(forward_demodulation,[],[f2241,f2098]) ).
fof(f2241,plain,
( k1_lattice2(sK25) = g3_lattices(u1_struct_0(sK25),u1_lattices(sK25),u2_lattices(sK25))
| ~ spl31_275 ),
inference(avatar_component_clause,[],[f2239]) ).
fof(f2296,plain,
( spl31_287
| ~ spl31_84
| ~ spl31_153 ),
inference(avatar_split_clause,[],[f1376,f1358,f929,f2294]) ).
fof(f1376,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl31_84
| ~ spl31_153 ),
inference(resolution,[],[f1359,f930]) ).
fof(f2292,plain,
( spl31_286
| ~ spl31_84
| ~ spl31_153 ),
inference(avatar_split_clause,[],[f1373,f1358,f929,f2290]) ).
fof(f1373,plain,
( ! [X0,X1] :
( r2_hidden(sK12(X0,X1),X0)
| X0 = X1
| ~ v1_xboole_0(X1) )
| ~ spl31_84
| ~ spl31_153 ),
inference(resolution,[],[f1359,f930]) ).
fof(f2288,plain,
( spl31_285
| ~ spl31_121
| ~ spl31_150 ),
inference(avatar_split_clause,[],[f1352,f1320,f1141,f2286]) ).
fof(f1352,plain,
( ! [X0] :
( m1_filter_2(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_121
| ~ spl31_150 ),
inference(duplicate_literal_removal,[],[f1349]) ).
fof(f1349,plain,
( ! [X0] :
( m1_filter_2(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_121
| ~ spl31_150 ),
inference(resolution,[],[f1321,f1142]) ).
fof(f2284,plain,
( spl31_284
| ~ spl31_123
| ~ spl31_150 ),
inference(avatar_split_clause,[],[f1351,f1320,f1149,f2282]) ).
fof(f1351,plain,
( ! [X0] :
( m1_filter_2(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_123
| ~ spl31_150 ),
inference(duplicate_literal_removal,[],[f1350]) ).
fof(f1350,plain,
( ! [X0] :
( m1_filter_2(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_123
| ~ spl31_150 ),
inference(resolution,[],[f1321,f1150]) ).
fof(f2280,plain,
( spl31_283
| ~ spl31_119
| ~ spl31_149 ),
inference(avatar_split_clause,[],[f1348,f1316,f1132,f2278]) ).
fof(f1132,plain,
( spl31_119
<=> ! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_119])]) ).
fof(f1348,plain,
( ! [X0] :
( m1_filter_0(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_119
| ~ spl31_149 ),
inference(duplicate_literal_removal,[],[f1345]) ).
fof(f1345,plain,
( ! [X0] :
( m1_filter_0(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_119
| ~ spl31_149 ),
inference(resolution,[],[f1317,f1133]) ).
fof(f1133,plain,
( ! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_119 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f2276,plain,
( spl31_282
| ~ spl31_124
| ~ spl31_149 ),
inference(avatar_split_clause,[],[f1347,f1316,f1153,f2274]) ).
fof(f1153,plain,
( spl31_124
<=> ! [X0] :
( m1_filter_2(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_124])]) ).
fof(f1347,plain,
( ! [X0] :
( m1_filter_0(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_124
| ~ spl31_149 ),
inference(duplicate_literal_removal,[],[f1346]) ).
fof(f1346,plain,
( ! [X0] :
( m1_filter_0(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_124
| ~ spl31_149 ),
inference(resolution,[],[f1317,f1154]) ).
fof(f1154,plain,
( ! [X0] :
( m1_filter_2(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_124 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f2272,plain,
( spl31_281
| ~ spl31_119
| ~ spl31_148 ),
inference(avatar_split_clause,[],[f1344,f1312,f1132,f2270]) ).
fof(f1344,plain,
( ! [X0] :
( m2_lattice4(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_119
| ~ spl31_148 ),
inference(duplicate_literal_removal,[],[f1341]) ).
fof(f1341,plain,
( ! [X0] :
( m2_lattice4(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_119
| ~ spl31_148 ),
inference(resolution,[],[f1313,f1133]) ).
fof(f2268,plain,
( spl31_280
| ~ spl31_124
| ~ spl31_148 ),
inference(avatar_split_clause,[],[f1343,f1312,f1153,f2266]) ).
fof(f2266,plain,
( spl31_280
<=> ! [X0] :
( m2_lattice4(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_280])]) ).
fof(f1343,plain,
( ! [X0] :
( m2_lattice4(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_124
| ~ spl31_148 ),
inference(duplicate_literal_removal,[],[f1342]) ).
fof(f1342,plain,
( ! [X0] :
( m2_lattice4(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_124
| ~ spl31_148 ),
inference(resolution,[],[f1313,f1154]) ).
fof(f2264,plain,
( spl31_279
| ~ spl31_118
| ~ spl31_147 ),
inference(avatar_split_clause,[],[f1340,f1308,f1128,f2262]) ).
fof(f1340,plain,
( ! [X0] :
( m2_lattice4(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_118
| ~ spl31_147 ),
inference(duplicate_literal_removal,[],[f1337]) ).
fof(f1337,plain,
( ! [X0] :
( m2_lattice4(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_118
| ~ spl31_147 ),
inference(resolution,[],[f1309,f1129]) ).
fof(f2260,plain,
( spl31_278
| ~ spl31_122
| ~ spl31_147 ),
inference(avatar_split_clause,[],[f1339,f1308,f1145,f2258]) ).
fof(f1145,plain,
( spl31_122
<=> ! [X0] :
( m2_filter_2(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_122])]) ).
fof(f1339,plain,
( ! [X0] :
( m2_lattice4(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_122
| ~ spl31_147 ),
inference(duplicate_literal_removal,[],[f1338]) ).
fof(f1338,plain,
( ! [X0] :
( m2_lattice4(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_122
| ~ spl31_147 ),
inference(resolution,[],[f1309,f1146]) ).
fof(f1146,plain,
( ! [X0] :
( m2_filter_2(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_122 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f2256,plain,
( spl31_277
| ~ spl31_40
| ~ spl31_146 ),
inference(avatar_split_clause,[],[f1336,f1304,f722,f2253]) ).
fof(f1336,plain,
( k1_lattice2(sK27) = g3_lattices(u1_struct_0(sK27),u1_lattices(sK27),u2_lattices(sK27))
| ~ spl31_40
| ~ spl31_146 ),
inference(resolution,[],[f1305,f724]) ).
fof(f2249,plain,
( spl31_276
| ~ spl31_27
| ~ spl31_146 ),
inference(avatar_split_clause,[],[f1335,f1304,f657,f2246]) ).
fof(f1335,plain,
( k1_lattice2(sK26) = g3_lattices(u1_struct_0(sK26),u1_lattices(sK26),u2_lattices(sK26))
| ~ spl31_27
| ~ spl31_146 ),
inference(resolution,[],[f1305,f659]) ).
fof(f2242,plain,
( spl31_275
| ~ spl31_17
| ~ spl31_146 ),
inference(avatar_split_clause,[],[f1334,f1304,f607,f2239]) ).
fof(f1334,plain,
( k1_lattice2(sK25) = g3_lattices(u1_struct_0(sK25),u1_lattices(sK25),u2_lattices(sK25))
| ~ spl31_17
| ~ spl31_146 ),
inference(resolution,[],[f1305,f609]) ).
fof(f2237,plain,
( spl31_274
| ~ spl31_14
| ~ spl31_146 ),
inference(avatar_split_clause,[],[f1333,f1304,f592,f2234]) ).
fof(f1333,plain,
( k1_lattice2(sK24) = g3_lattices(u1_struct_0(sK24),u1_lattices(sK24),u2_lattices(sK24))
| ~ spl31_14
| ~ spl31_146 ),
inference(resolution,[],[f1305,f594]) ).
fof(f2232,plain,
( spl31_273
| ~ spl31_10
| ~ spl31_146 ),
inference(avatar_split_clause,[],[f1332,f1304,f572,f2229]) ).
fof(f1332,plain,
( k1_lattice2(sK21) = g3_lattices(u1_struct_0(sK21),u1_lattices(sK21),u2_lattices(sK21))
| ~ spl31_10
| ~ spl31_146 ),
inference(resolution,[],[f1305,f574]) ).
fof(f2227,plain,
( spl31_272
| ~ spl31_65
| ~ spl31_129 ),
inference(avatar_split_clause,[],[f1204,f1173,f832,f2225]) ).
fof(f2225,plain,
( spl31_272
<=> ! [X0] :
( r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),sK10(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_272])]) ).
fof(f1204,plain,
( ! [X0] :
( r1_filter_2(X0,sK10(k1_zfmisc_1(X0)),sK10(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) )
| ~ spl31_65
| ~ spl31_129 ),
inference(resolution,[],[f1174,f833]) ).
fof(f2223,plain,
( spl31_271
| ~ spl31_90
| ~ spl31_101 ),
inference(avatar_split_clause,[],[f1054,f1013,f962,f2221]) ).
fof(f1054,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_101 ),
inference(resolution,[],[f1014,f963]) ).
fof(f2219,plain,
( spl31_270
| ~ spl31_53
| ~ spl31_194 ),
inference(avatar_split_clause,[],[f1743,f1694,f784,f2216]) ).
fof(f2216,plain,
( spl31_270
<=> l1_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_270])]) ).
fof(f1743,plain,
( l1_struct_0(sK27)
| ~ spl31_53
| ~ spl31_194 ),
inference(resolution,[],[f1696,f785]) ).
fof(f1696,plain,
( l1_lattices(sK27)
| ~ spl31_194 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f2214,plain,
( spl31_269
| ~ spl31_94
| ~ spl31_101 ),
inference(avatar_split_clause,[],[f1053,f1013,f978,f2212]) ).
fof(f1053,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl31_94
| ~ spl31_101 ),
inference(resolution,[],[f1014,f979]) ).
fof(f2200,plain,
( spl31_268
| ~ spl31_53
| ~ spl31_193 ),
inference(avatar_split_clause,[],[f1742,f1689,f784,f2197]) ).
fof(f1742,plain,
( l1_struct_0(sK26)
| ~ spl31_53
| ~ spl31_193 ),
inference(resolution,[],[f1691,f785]) ).
fof(f2195,plain,
( spl31_267
| ~ spl31_121
| ~ spl31_139 ),
inference(avatar_split_clause,[],[f1281,f1238,f1141,f2193]) ).
fof(f2193,plain,
( spl31_267
<=> ! [X0] :
( ~ v1_xboole_0(k1_filter_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_267])]) ).
fof(f1281,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_filter_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_121
| ~ spl31_139 ),
inference(duplicate_literal_removal,[],[f1278]) ).
fof(f1278,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_filter_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_121
| ~ spl31_139 ),
inference(resolution,[],[f1239,f1142]) ).
fof(f2191,plain,
( spl31_266
| ~ spl31_123
| ~ spl31_139 ),
inference(avatar_split_clause,[],[f1280,f1238,f1149,f2189]) ).
fof(f2189,plain,
( spl31_266
<=> ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_266])]) ).
fof(f1280,plain,
( ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_123
| ~ spl31_139 ),
inference(duplicate_literal_removal,[],[f1279]) ).
fof(f1279,plain,
( ! [X0] :
( ~ v1_xboole_0(sK6(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_123
| ~ spl31_139 ),
inference(resolution,[],[f1239,f1150]) ).
fof(f2187,plain,
( spl31_265
| ~ spl31_119
| ~ spl31_138 ),
inference(avatar_split_clause,[],[f1277,f1234,f1132,f2185]) ).
fof(f2185,plain,
( spl31_265
<=> ! [X0] :
( ~ v1_xboole_0(k1_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_265])]) ).
fof(f1277,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_119
| ~ spl31_138 ),
inference(duplicate_literal_removal,[],[f1274]) ).
fof(f1274,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_119
| ~ spl31_138 ),
inference(resolution,[],[f1235,f1133]) ).
fof(f2183,plain,
( spl31_264
| ~ spl31_124
| ~ spl31_138 ),
inference(avatar_split_clause,[],[f1276,f1234,f1153,f2181]) ).
fof(f2181,plain,
( spl31_264
<=> ! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_264])]) ).
fof(f1276,plain,
( ! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_124
| ~ spl31_138 ),
inference(duplicate_literal_removal,[],[f1275]) ).
fof(f1275,plain,
( ! [X0] :
( ~ v1_xboole_0(sK7(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_124
| ~ spl31_138 ),
inference(resolution,[],[f1235,f1154]) ).
fof(f2179,plain,
( spl31_263
| ~ spl31_118
| ~ spl31_137 ),
inference(avatar_split_clause,[],[f1273,f1230,f1128,f2177]) ).
fof(f2177,plain,
( spl31_263
<=> ! [X0] :
( ~ v1_xboole_0(k17_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_263])]) ).
fof(f1273,plain,
( ! [X0] :
( ~ v1_xboole_0(k17_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_118
| ~ spl31_137 ),
inference(duplicate_literal_removal,[],[f1270]) ).
fof(f1270,plain,
( ! [X0] :
( ~ v1_xboole_0(k17_filter_2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_118
| ~ spl31_137 ),
inference(resolution,[],[f1231,f1129]) ).
fof(f2175,plain,
( spl31_262
| ~ spl31_122
| ~ spl31_137 ),
inference(avatar_split_clause,[],[f1272,f1230,f1145,f2173]) ).
fof(f2173,plain,
( spl31_262
<=> ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_262])]) ).
fof(f1272,plain,
( ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_122
| ~ spl31_137 ),
inference(duplicate_literal_removal,[],[f1271]) ).
fof(f1271,plain,
( ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl31_122
| ~ spl31_137 ),
inference(resolution,[],[f1231,f1146]) ).
fof(f2170,plain,
( spl31_261
| ~ spl31_254
| ~ spl31_256
| ~ spl31_260 ),
inference(avatar_split_clause,[],[f2165,f2160,f2119,f2090,f2167]) ).
fof(f2160,plain,
( spl31_260
<=> k1_filter_0(sK26) = u1_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_260])]) ).
fof(f2165,plain,
( k1_filter_2(sK26) = k17_filter_2(sK26)
| ~ spl31_254
| ~ spl31_256
| ~ spl31_260 ),
inference(forward_demodulation,[],[f2164,f2092]) ).
fof(f2164,plain,
( k1_filter_0(sK26) = k17_filter_2(sK26)
| ~ spl31_256
| ~ spl31_260 ),
inference(forward_demodulation,[],[f2162,f2121]) ).
fof(f2162,plain,
( k1_filter_0(sK26) = u1_struct_0(sK26)
| ~ spl31_260 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2163,plain,
( spl31_28
| ~ spl31_36
| spl31_260
| ~ spl31_27
| ~ spl31_134 ),
inference(avatar_split_clause,[],[f1265,f1218,f657,f2160,f702,f662]) ).
fof(f1265,plain,
( k1_filter_0(sK26) = u1_struct_0(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_134 ),
inference(resolution,[],[f1219,f659]) ).
fof(f2158,plain,
( spl31_259
| ~ spl31_53
| ~ spl31_192 ),
inference(avatar_split_clause,[],[f1741,f1684,f784,f2155]) ).
fof(f1741,plain,
( l1_struct_0(sK25)
| ~ spl31_53
| ~ spl31_192 ),
inference(resolution,[],[f1686,f785]) ).
fof(f2152,plain,
( spl31_258
| ~ spl31_252
| ~ spl31_255
| ~ spl31_257 ),
inference(avatar_split_clause,[],[f2147,f2142,f2096,f2079,f2149]) ).
fof(f2079,plain,
( spl31_252
<=> k1_filter_0(sK25) = k1_filter_2(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_252])]) ).
fof(f2142,plain,
( spl31_257
<=> k1_filter_0(sK25) = u1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_257])]) ).
fof(f2147,plain,
( k1_filter_2(sK25) = k17_filter_2(sK25)
| ~ spl31_252
| ~ spl31_255
| ~ spl31_257 ),
inference(forward_demodulation,[],[f2146,f2081]) ).
fof(f2081,plain,
( k1_filter_0(sK25) = k1_filter_2(sK25)
| ~ spl31_252 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2146,plain,
( k1_filter_0(sK25) = k17_filter_2(sK25)
| ~ spl31_255
| ~ spl31_257 ),
inference(forward_demodulation,[],[f2144,f2098]) ).
fof(f2144,plain,
( k1_filter_0(sK25) = u1_struct_0(sK25)
| ~ spl31_257 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f2145,plain,
( spl31_18
| ~ spl31_26
| spl31_257
| ~ spl31_17
| ~ spl31_134 ),
inference(avatar_split_clause,[],[f1264,f1218,f607,f2142,f652,f612]) ).
fof(f1264,plain,
( k1_filter_0(sK25) = u1_struct_0(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_134 ),
inference(resolution,[],[f1219,f609]) ).
fof(f2122,plain,
( spl31_28
| ~ spl31_36
| spl31_256
| ~ spl31_27
| ~ spl31_133 ),
inference(avatar_split_clause,[],[f1258,f1214,f657,f2119,f702,f662]) ).
fof(f1258,plain,
( u1_struct_0(sK26) = k17_filter_2(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_133 ),
inference(resolution,[],[f1215,f659]) ).
fof(f2099,plain,
( spl31_18
| ~ spl31_26
| spl31_255
| ~ spl31_17
| ~ spl31_133 ),
inference(avatar_split_clause,[],[f1257,f1214,f607,f2096,f652,f612]) ).
fof(f1257,plain,
( u1_struct_0(sK25) = k17_filter_2(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_133 ),
inference(resolution,[],[f1215,f609]) ).
fof(f2093,plain,
( spl31_28
| ~ spl31_36
| spl31_254
| ~ spl31_27
| ~ spl31_132 ),
inference(avatar_split_clause,[],[f1251,f1210,f657,f2090,f702,f662]) ).
fof(f1251,plain,
( k1_filter_0(sK26) = k1_filter_2(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_132 ),
inference(resolution,[],[f1211,f659]) ).
fof(f2087,plain,
( spl31_253
| ~ spl31_53
| ~ spl31_191 ),
inference(avatar_split_clause,[],[f1740,f1679,f784,f2084]) ).
fof(f2084,plain,
( spl31_253
<=> l1_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_253])]) ).
fof(f1740,plain,
( l1_struct_0(sK24)
| ~ spl31_53
| ~ spl31_191 ),
inference(resolution,[],[f1681,f785]) ).
fof(f1681,plain,
( l1_lattices(sK24)
| ~ spl31_191 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f2082,plain,
( spl31_18
| ~ spl31_26
| spl31_252
| ~ spl31_17
| ~ spl31_132 ),
inference(avatar_split_clause,[],[f1250,f1210,f607,f2079,f652,f612]) ).
fof(f1250,plain,
( k1_filter_0(sK25) = k1_filter_2(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_132 ),
inference(resolution,[],[f1211,f609]) ).
fof(f2077,plain,
( spl31_251
| ~ spl31_94
| ~ spl31_129 ),
inference(avatar_split_clause,[],[f1200,f1173,f978,f2075]) ).
fof(f2075,plain,
( spl31_251
<=> ! [X0,X1] :
( r1_filter_2(X0,X1,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_251])]) ).
fof(f1200,plain,
( ! [X0,X1] :
( r1_filter_2(X0,X1,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl31_94
| ~ spl31_129 ),
inference(resolution,[],[f1174,f979]) ).
fof(f2073,plain,
( spl31_250
| ~ spl31_90
| ~ spl31_128 ),
inference(avatar_split_clause,[],[f1194,f1169,f962,f2071]) ).
fof(f1194,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK3(X1))
| v1_xboole_0(X1) )
| ~ spl31_90
| ~ spl31_128 ),
inference(resolution,[],[f1170,f963]) ).
fof(f2069,plain,
( spl31_249
| ~ spl31_94
| ~ spl31_128 ),
inference(avatar_split_clause,[],[f1192,f1169,f978,f2067]) ).
fof(f2067,plain,
( spl31_249
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_249])]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl31_94
| ~ spl31_128 ),
inference(resolution,[],[f1170,f979]) ).
fof(f2065,plain,
( spl31_248
| ~ spl31_90
| ~ spl31_103 ),
inference(avatar_split_clause,[],[f1060,f1021,f962,f2063]) ).
fof(f2063,plain,
( spl31_248
<=> ! [X0,X1] :
( v1_relat_1(sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_248])]) ).
fof(f1060,plain,
( ! [X0,X1] :
( v1_relat_1(sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl31_90
| ~ spl31_103 ),
inference(resolution,[],[f1022,f963]) ).
fof(f2057,plain,
( spl31_247
| ~ spl31_90
| ~ spl31_129 ),
inference(avatar_split_clause,[],[f1206,f1173,f962,f2055]) ).
fof(f2055,plain,
( spl31_247
<=> ! [X0] :
( r1_filter_2(X0,sK3(X0),sK3(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_247])]) ).
fof(f1206,plain,
( ! [X0] :
( r1_filter_2(X0,sK3(X0),sK3(X0))
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_129 ),
inference(duplicate_literal_removal,[],[f1202]) ).
fof(f1202,plain,
( ! [X0] :
( r1_filter_2(X0,sK3(X0),sK3(X0))
| v1_xboole_0(X0)
| v1_xboole_0(X0) )
| ~ spl31_90
| ~ spl31_129 ),
inference(resolution,[],[f1174,f963]) ).
fof(f2053,plain,
( spl31_246
| ~ spl31_65
| ~ spl31_128 ),
inference(avatar_split_clause,[],[f1196,f1169,f832,f2051]) ).
fof(f1196,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK10(k1_zfmisc_1(X1))) )
| ~ spl31_65
| ~ spl31_128 ),
inference(resolution,[],[f1170,f833]) ).
fof(f2049,plain,
( spl31_245
| ~ spl31_53
| ~ spl31_190 ),
inference(avatar_split_clause,[],[f1739,f1674,f784,f2046]) ).
fof(f2046,plain,
( spl31_245
<=> l1_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_245])]) ).
fof(f1739,plain,
( l1_struct_0(sK21)
| ~ spl31_53
| ~ spl31_190 ),
inference(resolution,[],[f1676,f785]) ).
fof(f1676,plain,
( l1_lattices(sK21)
| ~ spl31_190 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f2044,plain,
( spl31_244
| ~ spl31_94
| ~ spl31_115 ),
inference(avatar_split_clause,[],[f1113,f1101,f978,f2042]) ).
fof(f2042,plain,
( spl31_244
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_244])]) ).
fof(f1113,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl31_94
| ~ spl31_115 ),
inference(resolution,[],[f1102,f979]) ).
fof(f2033,plain,
( spl31_243
| ~ spl31_65
| ~ spl31_115 ),
inference(avatar_split_clause,[],[f1115,f1101,f832,f2031]) ).
fof(f1115,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK10(k1_zfmisc_1(X0))) )
| ~ spl31_65
| ~ spl31_115 ),
inference(resolution,[],[f1102,f833]) ).
fof(f2029,plain,
( spl31_242
| ~ spl31_94
| ~ spl31_103 ),
inference(avatar_split_clause,[],[f1059,f1021,f978,f2027]) ).
fof(f1059,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl31_94
| ~ spl31_103 ),
inference(resolution,[],[f1022,f979]) ).
fof(f2025,plain,
( spl31_241
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_101 ),
inference(avatar_split_clause,[],[f1058,f1013,f925,f884,f776,f577,f2023]) ).
fof(f2023,plain,
( spl31_241
<=> ! [X0] :
( r2_hidden(sK22,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_241])]) ).
fof(f1058,plain,
( ! [X0] :
( r2_hidden(sK22,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_101 ),
inference(forward_demodulation,[],[f1057,f937]) ).
fof(f1057,plain,
( ! [X0] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_101 ),
inference(forward_demodulation,[],[f1056,f936]) ).
fof(f1056,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK11(X0),k1_zfmisc_1(X0)) )
| ~ spl31_83
| ~ spl31_101 ),
inference(resolution,[],[f1014,f926]) ).
fof(f2006,plain,
( spl31_240
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_129 ),
inference(avatar_split_clause,[],[f1208,f1173,f925,f884,f776,f577,f2004]) ).
fof(f2004,plain,
( spl31_240
<=> ! [X0] :
( r1_filter_2(X0,sK22,sK22)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_240])]) ).
fof(f1208,plain,
( ! [X0] :
( r1_filter_2(X0,sK22,sK22)
| v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_129 ),
inference(forward_demodulation,[],[f1207,f937]) ).
fof(f1207,plain,
( ! [X0] :
( r1_filter_2(X0,k1_xboole_0,k1_xboole_0)
| v1_xboole_0(X0) )
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_129 ),
inference(forward_demodulation,[],[f1205,f936]) ).
fof(f1205,plain,
( ! [X0] :
( r1_filter_2(X0,sK11(X0),sK11(X0))
| v1_xboole_0(X0) )
| ~ spl31_83
| ~ spl31_129 ),
inference(resolution,[],[f1174,f926]) ).
fof(f2002,plain,
( spl31_239
| ~ spl31_103
| ~ spl31_127 ),
inference(avatar_split_clause,[],[f1184,f1165,f1021,f2000]) ).
fof(f1184,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl31_103
| ~ spl31_127 ),
inference(resolution,[],[f1166,f1022]) ).
fof(f1998,plain,
( spl31_238
| ~ spl31_88
| ~ spl31_106 ),
inference(avatar_split_clause,[],[f1066,f1034,f954,f1996]) ).
fof(f1034,plain,
( spl31_106
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_106])]) ).
fof(f1066,plain,
( ! [X0,X1] : m2_relset_1(sK13(X0,X1),X0,X1)
| ~ spl31_88
| ~ spl31_106 ),
inference(resolution,[],[f1035,f955]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl31_106 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1994,plain,
( spl31_237
| ~ spl31_89
| ~ spl31_104 ),
inference(avatar_split_clause,[],[f1065,f1025,f958,f1992]) ).
fof(f1065,plain,
( ! [X0,X1] : m1_relset_1(sK14(X0,X1),X0,X1)
| ~ spl31_89
| ~ spl31_104 ),
inference(resolution,[],[f1026,f959]) ).
fof(f1990,plain,
( spl31_236
| ~ spl31_65
| ~ spl31_103 ),
inference(avatar_split_clause,[],[f1061,f1021,f832,f1988]) ).
fof(f1988,plain,
( spl31_236
<=> ! [X0,X1] : v1_relat_1(sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_236])]) ).
fof(f1061,plain,
( ! [X0,X1] : v1_relat_1(sK10(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl31_65
| ~ spl31_103 ),
inference(resolution,[],[f1022,f833]) ).
fof(f1986,plain,
( spl31_235
| ~ spl31_65
| ~ spl31_101 ),
inference(avatar_split_clause,[],[f1055,f1013,f832,f1984]) ).
fof(f1055,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK10(X0),X0) )
| ~ spl31_65
| ~ spl31_101 ),
inference(resolution,[],[f1014,f833]) ).
fof(f1982,plain,
( ~ spl31_234
| ~ spl31_213
| spl31_227 ),
inference(avatar_split_clause,[],[f1935,f1931,f1854,f1979]) ).
fof(f1931,plain,
( spl31_227
<=> v1_xboole_0(k17_filter_2(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_227])]) ).
fof(f1935,plain,
( ~ v1_xboole_0(k1_filter_2(sK2))
| ~ spl31_213
| spl31_227 ),
inference(forward_demodulation,[],[f1933,f1856]) ).
fof(f1933,plain,
( ~ v1_xboole_0(k17_filter_2(sK2))
| spl31_227 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1977,plain,
( spl31_28
| ~ spl31_36
| spl31_233
| ~ spl31_27
| ~ spl31_100 ),
inference(avatar_split_clause,[],[f1051,f1009,f657,f1974,f702,f662]) ).
fof(f1051,plain,
( sP1(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl31_27
| ~ spl31_100 ),
inference(resolution,[],[f1010,f659]) ).
fof(f1972,plain,
( spl31_18
| ~ spl31_26
| spl31_232
| ~ spl31_17
| ~ spl31_100 ),
inference(avatar_split_clause,[],[f1050,f1009,f607,f1969,f652,f612]) ).
fof(f1050,plain,
( sP1(sK25)
| ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| ~ spl31_17
| ~ spl31_100 ),
inference(resolution,[],[f1010,f609]) ).
fof(f1967,plain,
( spl31_229
| spl31_230
| ~ spl31_231
| ~ spl31_40
| ~ spl31_99 ),
inference(avatar_split_clause,[],[f1045,f1005,f722,f1964,f1960,f1956]) ).
fof(f1956,plain,
( spl31_229
<=> sP0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_229])]) ).
fof(f1960,plain,
( spl31_230
<=> v3_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_230])]) ).
fof(f1964,plain,
( spl31_231
<=> v10_lattices(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_231])]) ).
fof(f1045,plain,
( ~ v10_lattices(sK27)
| v3_struct_0(sK27)
| sP0(sK27)
| ~ spl31_40
| ~ spl31_99 ),
inference(resolution,[],[f1006,f724]) ).
fof(f1947,plain,
( spl31_228
| spl31_28
| ~ spl31_36
| ~ spl31_27
| ~ spl31_99 ),
inference(avatar_split_clause,[],[f1044,f1005,f657,f702,f662,f1944]) ).
fof(f1944,plain,
( spl31_228
<=> sP0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_228])]) ).
fof(f1044,plain,
( ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| sP0(sK26)
| ~ spl31_27
| ~ spl31_99 ),
inference(resolution,[],[f1006,f659]) ).
fof(f1934,plain,
( spl31_1
| ~ spl31_85
| ~ spl31_227
| ~ spl31_91
| ~ spl31_204 ),
inference(avatar_split_clause,[],[f1761,f1756,f966,f1931,f941,f527]) ).
fof(f1761,plain,
( ~ v1_xboole_0(k17_filter_2(sK2))
| ~ l1_struct_0(sK2)
| v3_struct_0(sK2)
| ~ spl31_91
| ~ spl31_204 ),
inference(superposition,[],[f967,f1758]) ).
fof(f1929,plain,
( spl31_226
| spl31_18
| ~ spl31_26
| ~ spl31_17
| ~ spl31_99 ),
inference(avatar_split_clause,[],[f1043,f1005,f607,f652,f612,f1926]) ).
fof(f1926,plain,
( spl31_226
<=> sP0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_226])]) ).
fof(f1043,plain,
( ~ v10_lattices(sK25)
| v3_struct_0(sK25)
| sP0(sK25)
| ~ spl31_17
| ~ spl31_99 ),
inference(resolution,[],[f1006,f609]) ).
fof(f1924,plain,
( spl31_224
| spl31_15
| ~ spl31_225
| ~ spl31_14
| ~ spl31_99 ),
inference(avatar_split_clause,[],[f1042,f1005,f592,f1921,f597,f1917]) ).
fof(f1917,plain,
( spl31_224
<=> sP0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_224])]) ).
fof(f597,plain,
( spl31_15
<=> v3_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_15])]) ).
fof(f1921,plain,
( spl31_225
<=> v10_lattices(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_225])]) ).
fof(f1042,plain,
( ~ v10_lattices(sK24)
| v3_struct_0(sK24)
| sP0(sK24)
| ~ spl31_14
| ~ spl31_99 ),
inference(resolution,[],[f1006,f594]) ).
fof(f1915,plain,
( spl31_221
| spl31_222
| ~ spl31_223
| ~ spl31_10
| ~ spl31_99 ),
inference(avatar_split_clause,[],[f1041,f1005,f572,f1912,f1908,f1904]) ).
fof(f1904,plain,
( spl31_221
<=> sP0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_221])]) ).
fof(f1908,plain,
( spl31_222
<=> v3_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_222])]) ).
fof(f1912,plain,
( spl31_223
<=> v10_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_223])]) ).
fof(f1041,plain,
( ~ v10_lattices(sK21)
| v3_struct_0(sK21)
| sP0(sK21)
| ~ spl31_10
| ~ spl31_99 ),
inference(resolution,[],[f1006,f574]) ).
fof(f1890,plain,
( spl31_219
| spl31_220
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_115 ),
inference(avatar_split_clause,[],[f1118,f1101,f925,f884,f776,f577,f1888,f1885]) ).
fof(f1118,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK22)
| ~ v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_115 ),
inference(forward_demodulation,[],[f1117,f937]) ).
fof(f1117,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X0) )
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_115 ),
inference(forward_demodulation,[],[f1116,f936]) ).
fof(f1116,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK11(X0)) )
| ~ spl31_83
| ~ spl31_115 ),
inference(resolution,[],[f1102,f926]) ).
fof(f1883,plain,
( spl31_218
| ~ spl31_11
| ~ spl31_95 ),
inference(avatar_split_clause,[],[f992,f982,f577,f1881]) ).
fof(f982,plain,
( spl31_95
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_95])]) ).
fof(f992,plain,
( ! [X0] :
( sK22 = X0
| ~ v1_xboole_0(X0) )
| ~ spl31_11
| ~ spl31_95 ),
inference(resolution,[],[f983,f579]) ).
fof(f983,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl31_95 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f1879,plain,
( spl31_217
| ~ spl31_55
| ~ spl31_72 ),
inference(avatar_split_clause,[],[f933,f880,f792,f1877]) ).
fof(f933,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(k1_lattice2(X0)) )
| ~ spl31_55
| ~ spl31_72 ),
inference(resolution,[],[f881,f793]) ).
fof(f1875,plain,
( spl31_216
| ~ spl31_56
| ~ spl31_72 ),
inference(avatar_split_clause,[],[f932,f880,f796,f1873]) ).
fof(f932,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(k1_lattice2(X0)) )
| ~ spl31_56
| ~ spl31_72 ),
inference(resolution,[],[f881,f797]) ).
fof(f1869,plain,
( spl31_215
| ~ spl31_211
| ~ spl31_214 ),
inference(avatar_split_clause,[],[f1865,f1862,f1843,f1867]) ).
fof(f1862,plain,
( spl31_214
<=> ! [X0] : k1_xboole_0 = sK11(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_214])]) ).
fof(f1865,plain,
( ! [X0] : sK11(X0) = sK22
| ~ spl31_211
| ~ spl31_214 ),
inference(forward_demodulation,[],[f1863,f1845]) ).
fof(f1863,plain,
( ! [X0] : k1_xboole_0 = sK11(X0)
| ~ spl31_214 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1864,plain,
( spl31_214
| ~ spl31_51
| ~ spl31_73 ),
inference(avatar_split_clause,[],[f936,f884,f776,f1862]) ).
fof(f1857,plain,
( spl31_213
| ~ spl31_204
| ~ spl31_206 ),
inference(avatar_split_clause,[],[f1790,f1786,f1756,f1854]) ).
fof(f1851,plain,
( spl31_212
| ~ spl31_11
| ~ spl31_47
| ~ spl31_73 ),
inference(avatar_split_clause,[],[f939,f884,f757,f577,f1848]) ).
fof(f1848,plain,
( spl31_212
<=> sK22 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl31_212])]) ).
fof(f939,plain,
( sK22 = sK30
| ~ spl31_11
| ~ spl31_47
| ~ spl31_73 ),
inference(forward_demodulation,[],[f938,f937]) ).
fof(f938,plain,
( k1_xboole_0 = sK30
| ~ spl31_47
| ~ spl31_73 ),
inference(resolution,[],[f885,f759]) ).
fof(f1846,plain,
( spl31_211
| ~ spl31_11
| ~ spl31_73 ),
inference(avatar_split_clause,[],[f937,f884,f577,f1843]) ).
fof(f1839,plain,
( spl31_210
| ~ spl31_51
| ~ spl31_64 ),
inference(avatar_split_clause,[],[f855,f828,f776,f1837]) ).
fof(f1837,plain,
( spl31_210
<=> ! [X0] : v1_funct_1(sK11(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_210])]) ).
fof(f855,plain,
( ! [X0] : v1_funct_1(sK11(X0))
| ~ spl31_51
| ~ spl31_64 ),
inference(resolution,[],[f829,f777]) ).
fof(f1834,plain,
( spl31_1
| ~ spl31_2
| spl31_209
| ~ spl31_3
| ~ spl31_4
| ~ spl31_155 ),
inference(avatar_split_clause,[],[f1393,f1382,f542,f537,f1831,f532,f527]) ).
fof(f1393,plain,
( ~ l3_lattices(sK2)
| k6_lattices(sK2) = k5_lattices(k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_4
| ~ spl31_155 ),
inference(resolution,[],[f1383,f544]) ).
fof(f544,plain,
( v14_lattices(sK2)
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f1823,plain,
( spl31_208
| ~ spl31_204
| ~ spl31_206
| ~ spl31_207 ),
inference(avatar_split_clause,[],[f1818,f1813,f1786,f1756,f1820]) ).
fof(f1813,plain,
( spl31_207
<=> k1_lattice2(sK2) = g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_207])]) ).
fof(f1818,plain,
( k1_lattice2(sK2) = g3_lattices(k1_filter_2(sK2),u1_lattices(sK2),u2_lattices(sK2))
| ~ spl31_204
| ~ spl31_206
| ~ spl31_207 ),
inference(forward_demodulation,[],[f1817,f1790]) ).
fof(f1817,plain,
( k1_lattice2(sK2) = g3_lattices(k17_filter_2(sK2),u1_lattices(sK2),u2_lattices(sK2))
| ~ spl31_204
| ~ spl31_207 ),
inference(forward_demodulation,[],[f1815,f1758]) ).
fof(f1815,plain,
( k1_lattice2(sK2) = g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2))
| ~ spl31_207 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f1816,plain,
( spl31_207
| ~ spl31_3
| ~ spl31_146 ),
inference(avatar_split_clause,[],[f1331,f1304,f537,f1813]) ).
fof(f1331,plain,
( k1_lattice2(sK2) = g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2))
| ~ spl31_3
| ~ spl31_146 ),
inference(resolution,[],[f1305,f539]) ).
fof(f1789,plain,
( spl31_206
| ~ spl31_203
| ~ spl31_205 ),
inference(avatar_split_clause,[],[f1784,f1780,f1750,f1786]) ).
fof(f1750,plain,
( spl31_203
<=> k1_filter_0(sK2) = k1_filter_2(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_203])]) ).
fof(f1780,plain,
( spl31_205
<=> u1_struct_0(sK2) = k1_filter_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_205])]) ).
fof(f1784,plain,
( u1_struct_0(sK2) = k1_filter_2(sK2)
| ~ spl31_203
| ~ spl31_205 ),
inference(forward_demodulation,[],[f1782,f1752]) ).
fof(f1752,plain,
( k1_filter_0(sK2) = k1_filter_2(sK2)
| ~ spl31_203 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f1782,plain,
( u1_struct_0(sK2) = k1_filter_0(sK2)
| ~ spl31_205 ),
inference(avatar_component_clause,[],[f1780]) ).
fof(f1783,plain,
( spl31_1
| ~ spl31_2
| spl31_205
| ~ spl31_3
| ~ spl31_134 ),
inference(avatar_split_clause,[],[f1261,f1218,f537,f1780,f532,f527]) ).
fof(f1261,plain,
( u1_struct_0(sK2) = k1_filter_0(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_134 ),
inference(resolution,[],[f1219,f539]) ).
fof(f1759,plain,
( spl31_1
| ~ spl31_2
| spl31_204
| ~ spl31_3
| ~ spl31_133 ),
inference(avatar_split_clause,[],[f1254,f1214,f537,f1756,f532,f527]) ).
fof(f1254,plain,
( u1_struct_0(sK2) = k17_filter_2(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_133 ),
inference(resolution,[],[f1215,f539]) ).
fof(f1753,plain,
( spl31_1
| ~ spl31_2
| spl31_203
| ~ spl31_3
| ~ spl31_132 ),
inference(avatar_split_clause,[],[f1247,f1210,f537,f1750,f532,f527]) ).
fof(f1247,plain,
( k1_filter_0(sK2) = k1_filter_2(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_132 ),
inference(resolution,[],[f1211,f539]) ).
fof(f1738,plain,
( spl31_202
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_103 ),
inference(avatar_split_clause,[],[f1064,f1021,f925,f884,f776,f577,f1735]) ).
fof(f1735,plain,
( spl31_202
<=> v1_relat_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_202])]) ).
fof(f1064,plain,
( v1_relat_1(sK22)
| ~ spl31_11
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_103 ),
inference(forward_demodulation,[],[f1063,f937]) ).
fof(f1063,plain,
( v1_relat_1(k1_xboole_0)
| ~ spl31_51
| ~ spl31_73
| ~ spl31_83
| ~ spl31_103 ),
inference(forward_demodulation,[],[f1062,f936]) ).
fof(f1062,plain,
( ! [X0,X1] : v1_relat_1(sK11(k2_zfmisc_1(X0,X1)))
| ~ spl31_83
| ~ spl31_103 ),
inference(resolution,[],[f1022,f926]) ).
fof(f1733,plain,
( spl31_201
| ~ spl31_11
| ~ spl31_64 ),
inference(avatar_split_clause,[],[f856,f828,f577,f1730]) ).
fof(f1730,plain,
( spl31_201
<=> v1_funct_1(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_201])]) ).
fof(f856,plain,
( v1_funct_1(sK22)
| ~ spl31_11
| ~ spl31_64 ),
inference(resolution,[],[f829,f579]) ).
fof(f1727,plain,
( spl31_200
| ~ spl31_5
| ~ spl31_64 ),
inference(avatar_split_clause,[],[f854,f828,f547,f1724]) ).
fof(f1724,plain,
( spl31_200
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_200])]) ).
fof(f854,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl31_5
| ~ spl31_64 ),
inference(resolution,[],[f829,f549]) ).
fof(f1722,plain,
( spl31_199
| ~ spl31_40
| ~ spl31_56 ),
inference(avatar_split_clause,[],[f848,f796,f722,f1719]) ).
fof(f848,plain,
( l2_lattices(sK27)
| ~ spl31_40
| ~ spl31_56 ),
inference(resolution,[],[f797,f724]) ).
fof(f1717,plain,
( spl31_198
| ~ spl31_27
| ~ spl31_56 ),
inference(avatar_split_clause,[],[f847,f796,f657,f1714]) ).
fof(f847,plain,
( l2_lattices(sK26)
| ~ spl31_27
| ~ spl31_56 ),
inference(resolution,[],[f797,f659]) ).
fof(f1712,plain,
( spl31_197
| ~ spl31_17
| ~ spl31_56 ),
inference(avatar_split_clause,[],[f846,f796,f607,f1709]) ).
fof(f846,plain,
( l2_lattices(sK25)
| ~ spl31_17
| ~ spl31_56 ),
inference(resolution,[],[f797,f609]) ).
fof(f1707,plain,
( spl31_196
| ~ spl31_14
| ~ spl31_56 ),
inference(avatar_split_clause,[],[f845,f796,f592,f1704]) ).
fof(f845,plain,
( l2_lattices(sK24)
| ~ spl31_14
| ~ spl31_56 ),
inference(resolution,[],[f797,f594]) ).
fof(f1702,plain,
( spl31_195
| ~ spl31_10
| ~ spl31_56 ),
inference(avatar_split_clause,[],[f844,f796,f572,f1699]) ).
fof(f844,plain,
( l2_lattices(sK21)
| ~ spl31_10
| ~ spl31_56 ),
inference(resolution,[],[f797,f574]) ).
fof(f1697,plain,
( spl31_194
| ~ spl31_40
| ~ spl31_55 ),
inference(avatar_split_clause,[],[f842,f792,f722,f1694]) ).
fof(f842,plain,
( l1_lattices(sK27)
| ~ spl31_40
| ~ spl31_55 ),
inference(resolution,[],[f793,f724]) ).
fof(f1692,plain,
( spl31_193
| ~ spl31_27
| ~ spl31_55 ),
inference(avatar_split_clause,[],[f841,f792,f657,f1689]) ).
fof(f841,plain,
( l1_lattices(sK26)
| ~ spl31_27
| ~ spl31_55 ),
inference(resolution,[],[f793,f659]) ).
fof(f1687,plain,
( spl31_192
| ~ spl31_17
| ~ spl31_55 ),
inference(avatar_split_clause,[],[f840,f792,f607,f1684]) ).
fof(f840,plain,
( l1_lattices(sK25)
| ~ spl31_17
| ~ spl31_55 ),
inference(resolution,[],[f793,f609]) ).
fof(f1682,plain,
( spl31_191
| ~ spl31_14
| ~ spl31_55 ),
inference(avatar_split_clause,[],[f839,f792,f592,f1679]) ).
fof(f839,plain,
( l1_lattices(sK24)
| ~ spl31_14
| ~ spl31_55 ),
inference(resolution,[],[f793,f594]) ).
fof(f1677,plain,
( spl31_190
| ~ spl31_10
| ~ spl31_55 ),
inference(avatar_split_clause,[],[f838,f792,f572,f1674]) ).
fof(f838,plain,
( l1_lattices(sK21)
| ~ spl31_10
| ~ spl31_55 ),
inference(resolution,[],[f793,f574]) ).
fof(f1669,plain,
spl31_189,
inference(avatar_split_clause,[],[f473,f1667]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f250]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f1665,plain,
spl31_188,
inference(avatar_split_clause,[],[f472,f1663]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4,X5] :
( X1 = X4
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1661,plain,
spl31_187,
inference(avatar_split_clause,[],[f471,f1659]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f1656,plain,
spl31_186,
inference(avatar_split_clause,[],[f452,f1654]) ).
fof(f452,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1)
& ~ v1_xboole_0(X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& ~ v3_struct_0(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_lattices) ).
fof(f1650,plain,
( spl31_1
| ~ spl31_2
| spl31_185
| ~ spl31_3
| ~ spl31_100 ),
inference(avatar_split_clause,[],[f1047,f1009,f537,f1647,f532,f527]) ).
fof(f1047,plain,
( sP1(sK2)
| ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| ~ spl31_3
| ~ spl31_100 ),
inference(resolution,[],[f1010,f539]) ).
fof(f1645,plain,
spl31_184,
inference(avatar_split_clause,[],[f470,f1643]) ).
fof(f470,plain,
! [X2,X0,X1] :
( l3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1,X2] :
( ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l3_lattices(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f1641,plain,
spl31_183,
inference(avatar_split_clause,[],[f469,f1639]) ).
fof(f469,plain,
! [X2,X0,X1] :
( v3_lattices(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f1633,plain,
spl31_182,
inference(avatar_split_clause,[],[f460,f1631]) ).
fof(f1631,plain,
( spl31_182
<=> ! [X2,X0,X1] :
( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_182])]) ).
fof(f460,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
! [X0,X1,X2] :
( ( ( r3_lattices(X0,X1,X2)
| ~ r1_lattices(X0,X1,X2) )
& ( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f242]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f1629,plain,
spl31_181,
inference(avatar_split_clause,[],[f459,f1627]) ).
fof(f459,plain,
! [X2,X0,X1] :
( r1_lattices(X0,X1,X2)
| ~ r3_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f291]) ).
fof(f1613,plain,
spl31_180,
inference(avatar_split_clause,[],[f523,f1611]) ).
fof(f523,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(equality_resolution,[],[f468]) ).
fof(f468,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ( r3_lattices(X1,sK16(X0,X1,X2),X2)
& sK16(X0,X1,X2) = X0
& m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f297,f298]) ).
fof(f298,plain,
! [X0,X1,X2] :
( ? [X4] :
( r3_lattices(X1,X4,X2)
& X0 = X4
& m1_subset_1(X4,u1_struct_0(X1)) )
=> ( r3_lattices(X1,sK16(X0,X1,X2),X2)
& sK16(X0,X1,X2) = X0
& m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ? [X4] :
( r3_lattices(X1,X4,X2)
& X0 = X4
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(rectify,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X3,X2)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_2) ).
fof(f1609,plain,
spl31_179,
inference(avatar_split_clause,[],[f522,f1607]) ).
fof(f522,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_filter_0(X1,X2))
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(equality_resolution,[],[f464]) ).
fof(f464,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ r3_lattices(X1,X2,X3)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X2,X3)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ( r3_lattices(X1,X2,sK15(X0,X1,X2))
& sK15(X0,X1,X2) = X0
& m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f293,f294]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ? [X4] :
( r3_lattices(X1,X2,X4)
& X0 = X4
& m1_subset_1(X4,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,sK15(X0,X1,X2))
& sK15(X0,X1,X2) = X0
& m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X2,X3)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ? [X4] :
( r3_lattices(X1,X2,X4)
& X0 = X4
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(rectify,[],[f292]) ).
fof(f292,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ! [X3] :
( ~ r3_lattices(X1,X2,X3)
| X0 != X3
| ~ m1_subset_1(X3,u1_struct_0(X1)) ) )
& ( ? [X3] :
( r3_lattices(X1,X2,X3)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X2,X3)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f244]) ).
fof(f244,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X2,X3)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_2_0_filter_0(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X2,X3)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_filter_0) ).
fof(f1572,plain,
spl31_178,
inference(avatar_split_clause,[],[f467,f1570]) ).
fof(f467,plain,
! [X2,X0,X1] :
( r3_lattices(X1,sK16(X0,X1,X2),X2)
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f1568,plain,
spl31_177,
inference(avatar_split_clause,[],[f465,f1566]) ).
fof(f465,plain,
! [X2,X0,X1] :
( m1_subset_1(sK16(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f1564,plain,
spl31_176,
inference(avatar_split_clause,[],[f463,f1562]) ).
fof(f463,plain,
! [X2,X0,X1] :
( r3_lattices(X1,X2,sK15(X0,X1,X2))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1560,plain,
spl31_175,
inference(avatar_split_clause,[],[f461,f1558]) ).
fof(f461,plain,
! [X2,X0,X1] :
( m1_subset_1(sK15(X0,X1,X2),u1_struct_0(X1))
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1556,plain,
spl31_174,
inference(avatar_split_clause,[],[f458,f1554]) ).
fof(f458,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f240]) ).
fof(f240,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r3_lattices) ).
fof(f1548,plain,
spl31_173,
inference(avatar_split_clause,[],[f466,f1546]) ).
fof(f466,plain,
! [X2,X0,X1] :
( sK16(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_filter_2(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f1544,plain,
spl31_172,
inference(avatar_split_clause,[],[f462,f1542]) ).
fof(f462,plain,
! [X2,X0,X1] :
( sK15(X0,X1,X2) = X0
| ~ r2_hidden(X0,a_2_0_filter_0(X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1528,plain,
spl31_171,
inference(avatar_split_clause,[],[f417,f1526]) ).
fof(f417,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k2_filter_2(X0,X1) = k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f1524,plain,
spl31_170,
inference(avatar_split_clause,[],[f416,f1522]) ).
fof(f416,plain,
! [X0,X1] :
( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1504,plain,
spl31_169,
inference(avatar_split_clause,[],[f455,f1502]) ).
fof(f455,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( r1_filter_2(X0,X1,X2)
=> r1_filter_2(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_filter_2) ).
fof(f1500,plain,
spl31_168,
inference(avatar_split_clause,[],[f358,f1498]) ).
fof(f1498,plain,
( spl31_168
<=> ! [X0] :
( v10_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_168])]) ).
fof(f358,plain,
! [X0] :
( v10_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v7_lattices(X0)
| ~ v6_lattices(X0)
| ~ v5_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattices) ).
fof(f1463,plain,
spl31_167,
inference(avatar_split_clause,[],[f456,f1461]) ).
fof(f456,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(flattening,[],[f238]) ).
fof(f238,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f1459,plain,
spl31_166,
inference(avatar_split_clause,[],[f442,f1457]) ).
fof(f442,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(f1455,plain,
spl31_165,
inference(avatar_split_clause,[],[f441,f1453]) ).
fof(f441,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f1451,plain,
spl31_164,
inference(avatar_split_clause,[],[f415,f1449]) ).
fof(f415,plain,
! [X0,X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f1447,plain,
spl31_163,
inference(avatar_split_clause,[],[f414,f1445]) ).
fof(f414,plain,
! [X0,X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_filter_0) ).
fof(f1422,plain,
spl31_162,
inference(avatar_split_clause,[],[f525,f1420]) ).
fof(f525,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f403,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0)
| ~ v13_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ( l3_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_filter_0) ).
fof(f1418,plain,
spl31_161,
inference(avatar_split_clause,[],[f440,f1416]) ).
fof(f440,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( m1_filter_0(k2_filter_0(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(k2_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_filter_0) ).
fof(f1414,plain,
spl31_160,
inference(avatar_split_clause,[],[f439,f1412]) ).
fof(f439,plain,
! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( m1_filter_2(k2_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_2(k2_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_filter_2) ).
fof(f1410,plain,
spl31_159,
inference(avatar_split_clause,[],[f438,f1408]) ).
fof(f438,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( m2_filter_2(k18_filter_2(X0,X1),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k18_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k18_filter_2) ).
fof(f1406,plain,
spl31_158,
inference(avatar_split_clause,[],[f413,f1404]) ).
fof(f413,plain,
! [X0,X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f1392,plain,
spl31_157,
inference(avatar_split_clause,[],[f412,f1390]) ).
fof(f412,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f1388,plain,
spl31_156,
inference(avatar_split_clause,[],[f411,f1386]) ).
fof(f411,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f1384,plain,
spl31_155,
inference(avatar_split_clause,[],[f386,f1382]) ).
fof(f386,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_lattice2) ).
fof(f1364,plain,
spl31_154,
inference(avatar_split_clause,[],[f444,f1362]) ).
fof(f444,plain,
! [X0,X1] :
( X0 = X1
| ~ r2_hidden(sK12(X0,X1),X1)
| ~ r2_hidden(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ r2_hidden(sK12(X0,X1),X1)
| ~ r2_hidden(sK12(X0,X1),X0) )
& ( r2_hidden(sK12(X0,X1),X1)
| r2_hidden(sK12(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f283,f284]) ).
fof(f284,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
& ( r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) )
=> ( ( ~ r2_hidden(sK12(X0,X1),X1)
| ~ r2_hidden(sK12(X0,X1),X0) )
& ( r2_hidden(sK12(X0,X1),X1)
| r2_hidden(sK12(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
& ( r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f1360,plain,
spl31_153,
inference(avatar_split_clause,[],[f443,f1358]) ).
fof(f443,plain,
! [X0,X1] :
( X0 = X1
| r2_hidden(sK12(X0,X1),X1)
| r2_hidden(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f1356,plain,
spl31_152,
inference(avatar_split_clause,[],[f351,f1354]) ).
fof(f351,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f1328,plain,
( spl31_151
| ~ spl31_63
| ~ spl31_107 ),
inference(avatar_split_clause,[],[f1112,f1068,f824,f1325]) ).
fof(f1068,plain,
( spl31_107
<=> sP0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_107])]) ).
fof(f1112,plain,
( v9_lattices(sK2)
| ~ spl31_63
| ~ spl31_107 ),
inference(resolution,[],[f1070,f825]) ).
fof(f1070,plain,
( sP0(sK2)
| ~ spl31_107 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1322,plain,
spl31_150,
inference(avatar_split_clause,[],[f419,f1320]) ).
fof(f419,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f1318,plain,
spl31_149,
inference(avatar_split_clause,[],[f418,f1316]) ).
fof(f418,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1314,plain,
spl31_148,
inference(avatar_split_clause,[],[f409,f1312]) ).
fof(f409,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m1_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m1_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(f1310,plain,
spl31_147,
inference(avatar_split_clause,[],[f407,f1308]) ).
fof(f407,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f1306,plain,
spl31_146,
inference(avatar_split_clause,[],[f346,f1304]) ).
fof(f346,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f1302,plain,
spl31_145,
inference(avatar_split_clause,[],[f345,f1300]) ).
fof(f345,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f1298,plain,
spl31_144,
inference(avatar_split_clause,[],[f344,f1296]) ).
fof(f344,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f1294,plain,
( spl31_143
| ~ spl31_62
| ~ spl31_107 ),
inference(avatar_split_clause,[],[f1111,f1068,f820,f1291]) ).
fof(f1111,plain,
( v8_lattices(sK2)
| ~ spl31_62
| ~ spl31_107 ),
inference(resolution,[],[f1070,f821]) ).
fof(f1289,plain,
spl31_142,
inference(avatar_split_clause,[],[f342,f1287]) ).
fof(f342,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f1285,plain,
spl31_141,
inference(avatar_split_clause,[],[f341,f1283]) ).
fof(f341,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f1245,plain,
( spl31_140
| ~ spl31_61
| ~ spl31_107 ),
inference(avatar_split_clause,[],[f1110,f1068,f816,f1242]) ).
fof(f1242,plain,
( spl31_140
<=> v7_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_140])]) ).
fof(f1110,plain,
( v7_lattices(sK2)
| ~ spl31_61
| ~ spl31_107 ),
inference(resolution,[],[f1070,f817]) ).
fof(f1240,plain,
spl31_139,
inference(avatar_split_clause,[],[f410,f1238]) ).
fof(f410,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f1236,plain,
spl31_138,
inference(avatar_split_clause,[],[f408,f1234]) ).
fof(f408,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f1232,plain,
spl31_137,
inference(avatar_split_clause,[],[f406,f1230]) ).
fof(f406,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f1228,plain,
spl31_136,
inference(avatar_split_clause,[],[f405,f1226]) ).
fof(f1226,plain,
( spl31_136
<=> ! [X0] :
( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_136])]) ).
fof(f405,plain,
! [X0] :
( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f1224,plain,
spl31_135,
inference(avatar_split_clause,[],[f404,f1222]) ).
fof(f404,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f1220,plain,
spl31_134,
inference(avatar_split_clause,[],[f392,f1218]) ).
fof(f392,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> u1_struct_0(X0) = k1_filter_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f1216,plain,
spl31_133,
inference(avatar_split_clause,[],[f391,f1214]) ).
fof(f391,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> u1_struct_0(X0) = k17_filter_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f1212,plain,
spl31_132,
inference(avatar_split_clause,[],[f390,f1210]) ).
fof(f390,plain,
! [X0] :
( k1_filter_0(X0) = k1_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( k1_filter_0(X0) = k1_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( k1_filter_0(X0) = k1_filter_2(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k1_filter_0(X0) = k1_filter_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(f1191,plain,
( spl31_131
| ~ spl31_60
| ~ spl31_107 ),
inference(avatar_split_clause,[],[f1109,f1068,f812,f1188]) ).
fof(f1109,plain,
( v6_lattices(sK2)
| ~ spl31_60
| ~ spl31_107 ),
inference(resolution,[],[f1070,f813]) ).
fof(f1181,plain,
( spl31_130
| ~ spl31_59
| ~ spl31_107 ),
inference(avatar_split_clause,[],[f1108,f1068,f808,f1178]) ).
fof(f1178,plain,
( spl31_130
<=> v5_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_130])]) ).
fof(f1108,plain,
( v5_lattices(sK2)
| ~ spl31_59
| ~ spl31_107 ),
inference(resolution,[],[f1070,f809]) ).
fof(f1175,plain,
spl31_129,
inference(avatar_split_clause,[],[f524,f1173]) ).
fof(f524,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f521]) ).
fof(f521,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f457]) ).
fof(f457,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f1171,plain,
spl31_128,
inference(avatar_split_clause,[],[f474,f1169]) ).
fof(f474,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f252]) ).
fof(f252,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f1167,plain,
spl31_127,
inference(avatar_split_clause,[],[f450,f1165]) ).
fof(f450,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1163,plain,
spl31_126,
inference(avatar_split_clause,[],[f424,f1161]) ).
fof(f424,plain,
! [X0] :
( m2_lattice4(sK9(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ( ~ v1_xboole_0(sK9(X0))
& m2_lattice4(sK9(X0),X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f205,f277]) ).
fof(f277,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ( ~ v1_xboole_0(sK9(X0))
& m2_lattice4(sK9(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice4) ).
fof(f1159,plain,
spl31_125,
inference(avatar_split_clause,[],[f423,f1157]) ).
fof(f423,plain,
! [X0] :
( m2_lattice4(sK8(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( m2_lattice4(sK8(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f203,f275]) ).
fof(f275,plain,
! [X0] :
( ? [X1] : m2_lattice4(X1,X0)
=> m2_lattice4(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0] :
( ? [X1] : m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ? [X1] : m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m2_lattice4(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_lattice4) ).
fof(f1155,plain,
spl31_124,
inference(avatar_split_clause,[],[f422,f1153]) ).
fof(f422,plain,
! [X0] :
( m1_filter_2(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0] :
( m1_filter_2(sK7(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f201,f273]) ).
fof(f273,plain,
! [X0] :
( ? [X1] : m1_filter_2(X1,X0)
=> m1_filter_2(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0] :
( ? [X1] : m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ? [X1] : m1_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_filter_2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_filter_2) ).
fof(f1151,plain,
spl31_123,
inference(avatar_split_clause,[],[f421,f1149]) ).
fof(f421,plain,
! [X0] :
( m1_filter_0(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( m1_filter_0(sK6(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f199,f271]) ).
fof(f271,plain,
! [X0] :
( ? [X1] : m1_filter_0(X1,X0)
=> m1_filter_0(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0] :
( ? [X1] : m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ? [X1] : m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_filter_0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_filter_0) ).
fof(f1147,plain,
spl31_122,
inference(avatar_split_clause,[],[f420,f1145]) ).
fof(f420,plain,
! [X0] :
( m2_filter_2(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( m2_filter_2(sK5(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f197,f269]) ).
fof(f269,plain,
! [X0] :
( ? [X1] : m2_filter_2(X1,X0)
=> m2_filter_2(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0] :
( ? [X1] : m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ? [X1] : m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m2_filter_2(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_filter_2) ).
fof(f1143,plain,
spl31_121,
inference(avatar_split_clause,[],[f389,f1141]) ).
fof(f389,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_0(k1_filter_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_filter_0) ).
fof(f1139,plain,
( spl31_120
| ~ spl31_58
| ~ spl31_107 ),
inference(avatar_split_clause,[],[f1107,f1068,f804,f1136]) ).
fof(f1136,plain,
( spl31_120
<=> v4_lattices(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_120])]) ).
fof(f1107,plain,
( v4_lattices(sK2)
| ~ spl31_58
| ~ spl31_107 ),
inference(resolution,[],[f1070,f805]) ).
fof(f1134,plain,
spl31_119,
inference(avatar_split_clause,[],[f388,f1132]) ).
fof(f388,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_filter_2(k1_filter_2(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_filter_2) ).
fof(f1130,plain,
spl31_118,
inference(avatar_split_clause,[],[f387,f1128]) ).
fof(f387,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k17_filter_2(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(f1126,plain,
spl31_117,
inference(avatar_split_clause,[],[f381,f1124]) ).
fof(f381,plain,
! [X0] :
( m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f155,f264]) ).
fof(f264,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK4(X0))
& m1_subset_1(sK4(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f1122,plain,
spl31_116,
inference(avatar_split_clause,[],[f356,f1120]) ).
fof(f356,plain,
! [X0] :
( v15_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( v15_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( v15_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_lattices) ).
fof(f1103,plain,
spl31_115,
inference(avatar_split_clause,[],[f477,f1101]) ).
fof(f477,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f1099,plain,
spl31_114,
inference(avatar_split_clause,[],[f425,f1097]) ).
fof(f1097,plain,
( spl31_114
<=> ! [X0] :
( ~ v1_xboole_0(sK9(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_114])]) ).
fof(f425,plain,
! [X0] :
( ~ v1_xboole_0(sK9(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f1095,plain,
spl31_113,
inference(avatar_split_clause,[],[f383,f1093]) ).
fof(f1093,plain,
( spl31_113
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_113])]) ).
fof(f383,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f1091,plain,
spl31_112,
inference(avatar_split_clause,[],[f377,f1089]) ).
fof(f1089,plain,
( spl31_112
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_112])]) ).
fof(f377,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) )
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( l1_lattices(X0)
& v7_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u1_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0))
& v1_relat_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(f1087,plain,
spl31_111,
inference(avatar_split_clause,[],[f374,f1085]) ).
fof(f1085,plain,
( spl31_111
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_111])]) ).
fof(f374,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( ( l2_lattices(X0)
& v5_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v2_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(f1083,plain,
spl31_110,
inference(avatar_split_clause,[],[f371,f1081]) ).
fof(f1081,plain,
( spl31_110
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_110])]) ).
fof(f371,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
inference(pure_predicate_removal,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ( l2_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_binop_1(u2_lattices(X0),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0))
& v1_relat_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f1079,plain,
spl31_109,
inference(avatar_split_clause,[],[f370,f1077]) ).
fof(f370,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f1075,plain,
spl31_108,
inference(avatar_split_clause,[],[f369,f1073]) ).
fof(f369,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f1071,plain,
( spl31_107
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_99 ),
inference(avatar_split_clause,[],[f1040,f1005,f537,f532,f527,f1068]) ).
fof(f1040,plain,
( ~ v10_lattices(sK2)
| v3_struct_0(sK2)
| sP0(sK2)
| ~ spl31_3
| ~ spl31_99 ),
inference(resolution,[],[f1006,f539]) ).
fof(f1036,plain,
spl31_106,
inference(avatar_split_clause,[],[f476,f1034]) ).
fof(f476,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1032,plain,
( spl31_105
| ~ spl31_8
| ~ spl31_54 ),
inference(avatar_split_clause,[],[f836,f788,f562,f1029]) ).
fof(f1029,plain,
( spl31_105
<=> l1_struct_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_105])]) ).
fof(f836,plain,
( l1_struct_0(sK19)
| ~ spl31_8
| ~ spl31_54 ),
inference(resolution,[],[f789,f564]) ).
fof(f1027,plain,
spl31_104,
inference(avatar_split_clause,[],[f475,f1025]) ).
fof(f475,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f1023,plain,
spl31_103,
inference(avatar_split_clause,[],[f451,f1021]) ).
fof(f451,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1019,plain,
spl31_102,
inference(avatar_split_clause,[],[f437,f1017]) ).
fof(f1017,plain,
( spl31_102
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_102])]) ).
fof(f437,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f1015,plain,
spl31_101,
inference(avatar_split_clause,[],[f436,f1013]) ).
fof(f436,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f1011,plain,
spl31_100,
inference(avatar_split_clause,[],[f402,f1009]) ).
fof(f402,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( sP1(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f173,f257]) ).
fof(f257,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f173,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f1007,plain,
spl31_99,
inference(avatar_split_clause,[],[f366,f1005]) ).
fof(f366,plain,
! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f139,f255]) ).
fof(f255,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f139,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f1003,plain,
spl31_98,
inference(avatar_split_clause,[],[f354,f1001]) ).
fof(f1001,plain,
( spl31_98
<=> ! [X0] :
( v14_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_98])]) ).
fof(f354,plain,
! [X0] :
( v14_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v15_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_lattices) ).
fof(f999,plain,
spl31_97,
inference(avatar_split_clause,[],[f353,f997]) ).
fof(f997,plain,
( spl31_97
<=> ! [X0] :
( v13_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_97])]) ).
fof(f353,plain,
! [X0] :
( v13_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f989,plain,
( spl31_96
| ~ spl31_7
| ~ spl31_53 ),
inference(avatar_split_clause,[],[f835,f784,f557,f986]) ).
fof(f986,plain,
( spl31_96
<=> l1_struct_0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_96])]) ).
fof(f835,plain,
( l1_struct_0(sK18)
| ~ spl31_7
| ~ spl31_53 ),
inference(resolution,[],[f785,f559]) ).
fof(f984,plain,
spl31_95,
inference(avatar_split_clause,[],[f446,f982]) ).
fof(f446,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f980,plain,
spl31_94,
inference(avatar_split_clause,[],[f445,f978]) ).
fof(f445,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f100]) ).
fof(f100,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f976,plain,
spl31_93,
inference(avatar_split_clause,[],[f426,f974]) ).
fof(f974,plain,
( spl31_93
<=> ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_93])]) ).
fof(f426,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f972,plain,
spl31_92,
inference(avatar_split_clause,[],[f382,f970]) ).
fof(f382,plain,
! [X0] :
( ~ v1_xboole_0(sK4(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f968,plain,
spl31_91,
inference(avatar_split_clause,[],[f380,f966]) ).
fof(f380,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f964,plain,
spl31_90,
inference(avatar_split_clause,[],[f336,f962]) ).
fof(f336,plain,
! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f122,f261]) ).
fof(f261,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f960,plain,
spl31_89,
inference(avatar_split_clause,[],[f449,f958]) ).
fof(f449,plain,
! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0,X1] : m2_relset_1(sK14(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f56,f288]) ).
fof(f288,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK14(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f56,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f956,plain,
spl31_88,
inference(avatar_split_clause,[],[f448,f954]) ).
fof(f448,plain,
! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f52,f286]) ).
fof(f286,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK13(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f52,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f952,plain,
spl31_87,
inference(avatar_split_clause,[],[f435,f950]) ).
fof(f435,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f948,plain,
spl31_86,
inference(avatar_split_clause,[],[f434,f946]) ).
fof(f434,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f944,plain,
( spl31_85
| ~ spl31_53
| ~ spl31_66 ),
inference(avatar_split_clause,[],[f911,f850,f784,f941]) ).
fof(f911,plain,
( l1_struct_0(sK2)
| ~ spl31_53
| ~ spl31_66 ),
inference(resolution,[],[f852,f785]) ).
fof(f931,plain,
spl31_84,
inference(avatar_split_clause,[],[f447,f929]) ).
fof(f447,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f927,plain,
spl31_83,
inference(avatar_split_clause,[],[f431,f925]) ).
fof(f431,plain,
! [X0] : m1_subset_1(sK11(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f77,f281]) ).
fof(f281,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f923,plain,
spl31_82,
inference(avatar_split_clause,[],[f401,f921]) ).
fof(f401,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f257]) ).
fof(f919,plain,
spl31_81,
inference(avatar_split_clause,[],[f400,f917]) ).
fof(f917,plain,
( spl31_81
<=> ! [X0] :
( v9_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_81])]) ).
fof(f400,plain,
! [X0] :
( v9_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f915,plain,
spl31_80,
inference(avatar_split_clause,[],[f399,f913]) ).
fof(f913,plain,
( spl31_80
<=> ! [X0] :
( v8_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_80])]) ).
fof(f399,plain,
! [X0] :
( v8_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f910,plain,
spl31_79,
inference(avatar_split_clause,[],[f398,f908]) ).
fof(f908,plain,
( spl31_79
<=> ! [X0] :
( v7_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_79])]) ).
fof(f398,plain,
! [X0] :
( v7_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f906,plain,
spl31_78,
inference(avatar_split_clause,[],[f397,f904]) ).
fof(f904,plain,
( spl31_78
<=> ! [X0] :
( v6_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_78])]) ).
fof(f397,plain,
! [X0] :
( v6_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f902,plain,
spl31_77,
inference(avatar_split_clause,[],[f396,f900]) ).
fof(f900,plain,
( spl31_77
<=> ! [X0] :
( v5_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_77])]) ).
fof(f396,plain,
! [X0] :
( v5_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f898,plain,
spl31_76,
inference(avatar_split_clause,[],[f395,f896]) ).
fof(f896,plain,
( spl31_76
<=> ! [X0] :
( v4_lattices(k1_lattice2(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_76])]) ).
fof(f395,plain,
! [X0] :
( v4_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f894,plain,
spl31_75,
inference(avatar_split_clause,[],[f394,f892]) ).
fof(f394,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f890,plain,
spl31_74,
inference(avatar_split_clause,[],[f393,f888]) ).
fof(f393,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f886,plain,
spl31_73,
inference(avatar_split_clause,[],[f368,f884]) ).
fof(f368,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f882,plain,
spl31_72,
inference(avatar_split_clause,[],[f350,f880]) ).
fof(f350,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f878,plain,
spl31_71,
inference(avatar_split_clause,[],[f349,f876]) ).
fof(f349,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f874,plain,
spl31_70,
inference(avatar_split_clause,[],[f343,f872]) ).
fof(f343,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f870,plain,
( spl31_69
| ~ spl31_3
| ~ spl31_56 ),
inference(avatar_split_clause,[],[f843,f796,f537,f867]) ).
fof(f843,plain,
( l2_lattices(sK2)
| ~ spl31_3
| ~ spl31_56 ),
inference(resolution,[],[f797,f539]) ).
fof(f865,plain,
spl31_68,
inference(avatar_split_clause,[],[f340,f863]) ).
fof(f340,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f861,plain,
spl31_67,
inference(avatar_split_clause,[],[f337,f859]) ).
fof(f337,plain,
! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f853,plain,
( spl31_66
| ~ spl31_3
| ~ spl31_55 ),
inference(avatar_split_clause,[],[f837,f792,f537,f850]) ).
fof(f837,plain,
( l1_lattices(sK2)
| ~ spl31_3
| ~ spl31_55 ),
inference(resolution,[],[f793,f539]) ).
fof(f834,plain,
spl31_65,
inference(avatar_split_clause,[],[f430,f832]) ).
fof(f430,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] : m1_subset_1(sK10(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f53,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f53,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f830,plain,
spl31_64,
inference(avatar_split_clause,[],[f367,f828]) ).
fof(f367,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f826,plain,
spl31_63,
inference(avatar_split_clause,[],[f365,f824]) ).
fof(f365,plain,
! [X0] :
( v9_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f255]) ).
fof(f822,plain,
spl31_62,
inference(avatar_split_clause,[],[f364,f820]) ).
fof(f364,plain,
! [X0] :
( v8_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f818,plain,
spl31_61,
inference(avatar_split_clause,[],[f363,f816]) ).
fof(f363,plain,
! [X0] :
( v7_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f814,plain,
spl31_60,
inference(avatar_split_clause,[],[f362,f812]) ).
fof(f362,plain,
! [X0] :
( v6_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f810,plain,
spl31_59,
inference(avatar_split_clause,[],[f361,f808]) ).
fof(f361,plain,
! [X0] :
( v5_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f806,plain,
spl31_58,
inference(avatar_split_clause,[],[f360,f804]) ).
fof(f360,plain,
! [X0] :
( v4_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f802,plain,
spl31_57,
inference(avatar_split_clause,[],[f359,f800]) ).
fof(f800,plain,
( spl31_57
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_57])]) ).
fof(f359,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f798,plain,
spl31_56,
inference(avatar_split_clause,[],[f348,f796]) ).
fof(f348,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f794,plain,
spl31_55,
inference(avatar_split_clause,[],[f347,f792]) ).
fof(f347,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f790,plain,
spl31_54,
inference(avatar_split_clause,[],[f339,f788]) ).
fof(f339,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f786,plain,
spl31_53,
inference(avatar_split_clause,[],[f338,f784]) ).
fof(f338,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f782,plain,
spl31_52,
inference(avatar_split_clause,[],[f433,f780]) ).
fof(f433,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f778,plain,
spl31_51,
inference(avatar_split_clause,[],[f432,f776]) ).
fof(f432,plain,
! [X0] : v1_xboole_0(sK11(X0)),
inference(cnf_transformation,[],[f282]) ).
fof(f774,plain,
spl31_50,
inference(avatar_split_clause,[],[f335,f772]) ).
fof(f335,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f770,plain,
~ spl31_49,
inference(avatar_split_clause,[],[f333,f767]) ).
fof(f333,plain,
~ r1_filter_2(u1_struct_0(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2))),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2)))
& v14_lattices(sK2)
& l3_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f121,f259]) ).
fof(f259,plain,
( ? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ~ r1_filter_2(u1_struct_0(sK2),k17_filter_2(sK2),k18_filter_2(sK2,k6_lattices(sK2)))
& v14_lattices(sK2)
& l3_lattices(sK2)
& v10_lattices(sK2)
& ~ v3_struct_0(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_filter_2) ).
fof(f765,plain,
spl31_48,
inference(avatar_split_clause,[],[f520,f762]) ).
fof(f762,plain,
( spl31_48
<=> v1_funct_1(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_48])]) ).
fof(f520,plain,
v1_funct_1(sK30),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
( v1_funct_1(sK30)
& v1_xboole_0(sK30)
& v1_relat_1(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f76,f327]) ).
fof(f327,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK30)
& v1_xboole_0(sK30)
& v1_relat_1(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f76,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f760,plain,
spl31_47,
inference(avatar_split_clause,[],[f519,f757]) ).
fof(f519,plain,
v1_xboole_0(sK30),
inference(cnf_transformation,[],[f328]) ).
fof(f755,plain,
spl31_46,
inference(avatar_split_clause,[],[f518,f752]) ).
fof(f752,plain,
( spl31_46
<=> v1_relat_1(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_46])]) ).
fof(f518,plain,
v1_relat_1(sK30),
inference(cnf_transformation,[],[f328]) ).
fof(f750,plain,
spl31_45,
inference(avatar_split_clause,[],[f517,f747]) ).
fof(f747,plain,
( spl31_45
<=> v1_funct_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_45])]) ).
fof(f517,plain,
v1_funct_1(sK29),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
( v1_funct_1(sK29)
& v1_relat_1(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f119,f325]) ).
fof(f325,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK29)
& v1_relat_1(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
inference(pure_predicate_removal,[],[f79]) ).
fof(f79,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f745,plain,
spl31_44,
inference(avatar_split_clause,[],[f516,f742]) ).
fof(f742,plain,
( spl31_44
<=> v1_relat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_44])]) ).
fof(f516,plain,
v1_relat_1(sK29),
inference(cnf_transformation,[],[f326]) ).
fof(f740,plain,
spl31_43,
inference(avatar_split_clause,[],[f515,f737]) ).
fof(f737,plain,
( spl31_43
<=> v1_funct_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_43])]) ).
fof(f515,plain,
v1_funct_1(sK28),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
( v1_funct_1(sK28)
& v1_relat_1(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f72,f323]) ).
fof(f323,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK28)
& v1_relat_1(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f72,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f735,plain,
spl31_42,
inference(avatar_split_clause,[],[f514,f732]) ).
fof(f732,plain,
( spl31_42
<=> v1_relat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_42])]) ).
fof(f514,plain,
v1_relat_1(sK28),
inference(cnf_transformation,[],[f324]) ).
fof(f730,plain,
spl31_41,
inference(avatar_split_clause,[],[f513,f727]) ).
fof(f513,plain,
v3_lattices(sK27),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( v3_lattices(sK27)
& l3_lattices(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f80,f321]) ).
fof(f321,plain,
( ? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) )
=> ( v3_lattices(sK27)
& l3_lattices(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f80,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_lattices) ).
fof(f725,plain,
spl31_40,
inference(avatar_split_clause,[],[f512,f722]) ).
fof(f512,plain,
l3_lattices(sK27),
inference(cnf_transformation,[],[f322]) ).
fof(f720,plain,
spl31_39,
inference(avatar_split_clause,[],[f511,f717]) ).
fof(f717,plain,
( spl31_39
<=> v15_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_39])]) ).
fof(f511,plain,
v15_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
( v15_lattices(sK26)
& v14_lattices(sK26)
& v13_lattices(sK26)
& v10_lattices(sK26)
& v9_lattices(sK26)
& v8_lattices(sK26)
& v7_lattices(sK26)
& v6_lattices(sK26)
& v5_lattices(sK26)
& v4_lattices(sK26)
& v3_lattices(sK26)
& ~ v3_struct_0(sK26)
& l3_lattices(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f71,f319]) ).
fof(f319,plain,
( ? [X0] :
( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v15_lattices(sK26)
& v14_lattices(sK26)
& v13_lattices(sK26)
& v10_lattices(sK26)
& v9_lattices(sK26)
& v8_lattices(sK26)
& v7_lattices(sK26)
& v6_lattices(sK26)
& v5_lattices(sK26)
& v4_lattices(sK26)
& v3_lattices(sK26)
& ~ v3_struct_0(sK26)
& l3_lattices(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f71,axiom,
? [X0] :
( v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc11_lattices) ).
fof(f715,plain,
spl31_38,
inference(avatar_split_clause,[],[f510,f712]) ).
fof(f510,plain,
v14_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f710,plain,
spl31_37,
inference(avatar_split_clause,[],[f509,f707]) ).
fof(f509,plain,
v13_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f705,plain,
spl31_36,
inference(avatar_split_clause,[],[f508,f702]) ).
fof(f508,plain,
v10_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f700,plain,
spl31_35,
inference(avatar_split_clause,[],[f507,f697]) ).
fof(f507,plain,
v9_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f695,plain,
spl31_34,
inference(avatar_split_clause,[],[f506,f692]) ).
fof(f506,plain,
v8_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f690,plain,
spl31_33,
inference(avatar_split_clause,[],[f505,f687]) ).
fof(f687,plain,
( spl31_33
<=> v7_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_33])]) ).
fof(f505,plain,
v7_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f685,plain,
spl31_32,
inference(avatar_split_clause,[],[f504,f682]) ).
fof(f504,plain,
v6_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f680,plain,
spl31_31,
inference(avatar_split_clause,[],[f503,f677]) ).
fof(f677,plain,
( spl31_31
<=> v5_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_31])]) ).
fof(f503,plain,
v5_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f675,plain,
spl31_30,
inference(avatar_split_clause,[],[f502,f672]) ).
fof(f672,plain,
( spl31_30
<=> v4_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_30])]) ).
fof(f502,plain,
v4_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f670,plain,
spl31_29,
inference(avatar_split_clause,[],[f501,f667]) ).
fof(f501,plain,
v3_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f665,plain,
~ spl31_28,
inference(avatar_split_clause,[],[f500,f662]) ).
fof(f500,plain,
~ v3_struct_0(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f660,plain,
spl31_27,
inference(avatar_split_clause,[],[f499,f657]) ).
fof(f499,plain,
l3_lattices(sK26),
inference(cnf_transformation,[],[f320]) ).
fof(f655,plain,
spl31_26,
inference(avatar_split_clause,[],[f498,f652]) ).
fof(f498,plain,
v10_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
( v10_lattices(sK25)
& v9_lattices(sK25)
& v8_lattices(sK25)
& v7_lattices(sK25)
& v6_lattices(sK25)
& v5_lattices(sK25)
& v4_lattices(sK25)
& v3_lattices(sK25)
& ~ v3_struct_0(sK25)
& l3_lattices(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f84,f317]) ).
fof(f317,plain,
( ? [X0] :
( v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v10_lattices(sK25)
& v9_lattices(sK25)
& v8_lattices(sK25)
& v7_lattices(sK25)
& v6_lattices(sK25)
& v5_lattices(sK25)
& v4_lattices(sK25)
& v3_lattices(sK25)
& ~ v3_struct_0(sK25)
& l3_lattices(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f84,axiom,
? [X0] :
( v10_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc9_lattices) ).
fof(f650,plain,
spl31_25,
inference(avatar_split_clause,[],[f497,f647]) ).
fof(f497,plain,
v9_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f645,plain,
spl31_24,
inference(avatar_split_clause,[],[f496,f642]) ).
fof(f496,plain,
v8_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f640,plain,
spl31_23,
inference(avatar_split_clause,[],[f495,f637]) ).
fof(f637,plain,
( spl31_23
<=> v7_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_23])]) ).
fof(f495,plain,
v7_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f635,plain,
spl31_22,
inference(avatar_split_clause,[],[f494,f632]) ).
fof(f494,plain,
v6_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f630,plain,
spl31_21,
inference(avatar_split_clause,[],[f493,f627]) ).
fof(f627,plain,
( spl31_21
<=> v5_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_21])]) ).
fof(f493,plain,
v5_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f625,plain,
spl31_20,
inference(avatar_split_clause,[],[f492,f622]) ).
fof(f622,plain,
( spl31_20
<=> v4_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_20])]) ).
fof(f492,plain,
v4_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f620,plain,
spl31_19,
inference(avatar_split_clause,[],[f491,f617]) ).
fof(f491,plain,
v3_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f615,plain,
~ spl31_18,
inference(avatar_split_clause,[],[f490,f612]) ).
fof(f490,plain,
~ v3_struct_0(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f610,plain,
spl31_17,
inference(avatar_split_clause,[],[f489,f607]) ).
fof(f489,plain,
l3_lattices(sK25),
inference(cnf_transformation,[],[f318]) ).
fof(f605,plain,
spl31_16,
inference(avatar_split_clause,[],[f488,f602]) ).
fof(f488,plain,
v3_lattices(sK24),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
( v3_lattices(sK24)
& ~ v3_struct_0(sK24)
& l3_lattices(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f83,f315]) ).
fof(f315,plain,
( ? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v3_lattices(sK24)
& ~ v3_struct_0(sK24)
& l3_lattices(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f83,axiom,
? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc6_lattices) ).
fof(f600,plain,
~ spl31_15,
inference(avatar_split_clause,[],[f487,f597]) ).
fof(f487,plain,
~ v3_struct_0(sK24),
inference(cnf_transformation,[],[f316]) ).
fof(f595,plain,
spl31_14,
inference(avatar_split_clause,[],[f486,f592]) ).
fof(f486,plain,
l3_lattices(sK24),
inference(cnf_transformation,[],[f316]) ).
fof(f590,plain,
~ spl31_13,
inference(avatar_split_clause,[],[f485,f587]) ).
fof(f587,plain,
( spl31_13
<=> v3_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_13])]) ).
fof(f485,plain,
~ v3_struct_0(sK23),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
( ~ v3_struct_0(sK23)
& l1_struct_0(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f81,f313]) ).
fof(f313,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK23)
& l1_struct_0(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f81,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f585,plain,
spl31_12,
inference(avatar_split_clause,[],[f484,f582]) ).
fof(f582,plain,
( spl31_12
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_12])]) ).
fof(f484,plain,
l1_struct_0(sK23),
inference(cnf_transformation,[],[f314]) ).
fof(f580,plain,
spl31_11,
inference(avatar_split_clause,[],[f483,f577]) ).
fof(f483,plain,
v1_xboole_0(sK22),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
v1_xboole_0(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f75,f311]) ).
fof(f311,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK22) ),
introduced(choice_axiom,[]) ).
fof(f75,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f575,plain,
spl31_10,
inference(avatar_split_clause,[],[f482,f572]) ).
fof(f482,plain,
l3_lattices(sK21),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
l3_lattices(sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f49,f309]) ).
fof(f309,plain,
( ? [X0] : l3_lattices(X0)
=> l3_lattices(sK21) ),
introduced(choice_axiom,[]) ).
fof(f49,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l3_lattices) ).
fof(f570,plain,
spl31_9,
inference(avatar_split_clause,[],[f481,f567]) ).
fof(f567,plain,
( spl31_9
<=> l1_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_9])]) ).
fof(f481,plain,
l1_struct_0(sK20),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
l1_struct_0(sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f47,f307]) ).
fof(f307,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK20) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f565,plain,
spl31_8,
inference(avatar_split_clause,[],[f480,f562]) ).
fof(f480,plain,
l2_lattices(sK19),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
l2_lattices(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f48,f305]) ).
fof(f305,plain,
( ? [X0] : l2_lattices(X0)
=> l2_lattices(sK19) ),
introduced(choice_axiom,[]) ).
fof(f48,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l2_lattices) ).
fof(f560,plain,
spl31_7,
inference(avatar_split_clause,[],[f479,f557]) ).
fof(f479,plain,
l1_lattices(sK18),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
l1_lattices(sK18),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f46,f303]) ).
fof(f303,plain,
( ? [X0] : l1_lattices(X0)
=> l1_lattices(sK18) ),
introduced(choice_axiom,[]) ).
fof(f46,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_lattices) ).
fof(f555,plain,
~ spl31_6,
inference(avatar_split_clause,[],[f478,f552]) ).
fof(f552,plain,
( spl31_6
<=> v1_xboole_0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_6])]) ).
fof(f478,plain,
~ v1_xboole_0(sK17),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
~ v1_xboole_0(sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f78,f301]) ).
fof(f301,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK17) ),
introduced(choice_axiom,[]) ).
fof(f78,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f550,plain,
spl31_5,
inference(avatar_split_clause,[],[f334,f547]) ).
fof(f334,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f545,plain,
spl31_4,
inference(avatar_split_clause,[],[f332,f542]) ).
fof(f332,plain,
v14_lattices(sK2),
inference(cnf_transformation,[],[f260]) ).
fof(f540,plain,
spl31_3,
inference(avatar_split_clause,[],[f331,f537]) ).
fof(f331,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f260]) ).
fof(f535,plain,
spl31_2,
inference(avatar_split_clause,[],[f330,f532]) ).
fof(f330,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f260]) ).
fof(f530,plain,
~ spl31_1,
inference(avatar_split_clause,[],[f329,f527]) ).
fof(f329,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT306+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:39:51 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (13422)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (13425)WARNING: value z3 for option sas not known
% 0.15/0.38 % (13424)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (13426)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (13427)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (13423)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (13425)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (13429)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (13428)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.45 TRYING [4]
% 0.22/0.52 TRYING [3]
% 0.22/0.53 TRYING [5]
% 1.95/0.68 TRYING [4]
% 2.94/0.77 TRYING [6]
% 5.81/1.19 TRYING [5]
% 7.23/1.39 TRYING [7]
% 7.81/1.49 TRYING [1]
% 7.81/1.49 TRYING [2]
% 7.81/1.49 TRYING [3]
% 8.13/1.52 TRYING [4]
% 8.35/1.61 TRYING [5]
% 10.45/1.87 TRYING [6]
% 14.14/2.37 TRYING [7]
% 15.71/2.62 TRYING [6]
% 15.71/2.66 TRYING [8]
% 22.76/3.63 TRYING [8]
% 36.53/5.62 % (13427)First to succeed.
% 37.10/5.72 % (13427)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13422"
% 37.55/5.73 % (13427)Refutation found. Thanks to Tanya!
% 37.55/5.73 % SZS status Theorem for theBenchmark
% 37.55/5.73 % SZS output start Proof for theBenchmark
% See solution above
% 37.74/5.79 % (13427)------------------------------
% 37.74/5.79 % (13427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 37.74/5.79 % (13427)Termination reason: Refutation
% 37.74/5.79
% 37.74/5.79 % (13427)Memory used [KB]: 50924
% 37.74/5.79 % (13427)Time elapsed: 5.334 s
% 37.74/5.79 % (13427)Instructions burned: 10759 (million)
% 37.74/5.79 % (13422)Success in time 5.407 s
%------------------------------------------------------------------------------