TSTP Solution File: LAT346+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT346+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 : n004.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 07:30:29 EDT 2024
% Result : Theorem 3.01s 0.78s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1459
% Syntax : Number of formulae : 5076 ( 303 unt; 0 def)
% Number of atoms : 19487 (1609 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 25637 (11226 ~;12287 |; 673 &)
% (1338 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 1377 (1375 usr;1334 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 17 con; 0-3 aty)
% Number of variables : 4111 (4041 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14168,plain,
$false,
inference(avatar_sat_refutation,[],[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,f769,f773,f777,f781,f785,f789,f793,f797,f801,f805,f809,f813,f817,f821,f825,f829,f833,f837,f841,f845,f866,f870,f874,f878,f882,f886,f890,f894,f898,f903,f907,f911,f915,f919,f923,f927,f931,f935,f939,f943,f948,f952,f956,f960,f964,f968,f972,f976,f980,f984,f988,f993,f997,f1001,f1005,f1009,f1013,f1017,f1021,f1025,f1029,f1033,f1038,f1042,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1078,f1083,f1087,f1091,f1095,f1099,f1103,f1107,f1111,f1115,f1119,f1123,f1128,f1132,f1136,f1147,f1152,f1157,f1162,f1167,f1172,f1176,f1180,f1184,f1188,f1192,f1196,f1200,f1204,f1209,f1213,f1217,f1234,f1238,f1242,f1246,f1250,f1254,f1258,f1262,f1266,f1270,f1274,f1278,f1282,f1286,f1290,f1294,f1298,f1302,f1307,f1324,f1328,f1332,f1336,f1341,f1345,f1349,f1353,f1357,f1361,f1397,f1401,f1405,f1409,f1413,f1417,f1422,f1426,f1430,f1449,f1453,f1457,f1461,f1465,f1469,f1473,f1477,f1504,f1508,f1516,f1520,f1524,f1528,f1534,f1538,f1542,f1546,f1550,f1575,f1582,f1586,f1590,f1594,f1598,f1602,f1606,f1610,f1614,f1618,f1635,f1639,f1644,f1648,f1664,f1674,f1678,f1685,f1689,f1696,f1703,f1707,f1718,f1725,f1729,f1733,f1746,f1754,f1760,f1764,f1773,f1778,f1787,f1792,f1797,f1804,f1816,f1820,f1824,f1831,f1835,f1836,f1837,f1839,f1844,f1872,f1884,f1889,f1901,f1906,f1910,f1914,f1918,f1922,f1927,f1931,f1935,f1939,f1964,f1968,f1972,f1976,f1980,f1984,f1988,f1999,f2003,f2009,f2013,f2017,f2021,f2025,f2029,f2033,f2037,f2056,f2060,f2064,f2068,f2072,f2088,f2092,f2096,f2100,f2104,f2108,f2112,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2144,f2149,f2163,f2172,f2186,f2197,f2208,f2219,f2229,f2234,f2238,f2247,f2278,f2282,f2286,f2290,f2294,f2298,f2321,f2325,f2329,f2333,f2370,f2374,f2378,f2382,f2386,f2390,f2394,f2398,f2402,f2406,f2440,f2444,f2448,f2453,f2469,f2473,f2477,f2481,f2485,f2489,f2496,f2500,f2514,f2518,f2522,f2526,f2534,f2541,f2545,f2557,f2561,f2565,f2575,f2586,f2590,f2596,f2607,f2618,f2622,f2630,f2635,f2639,f2643,f2647,f2651,f2665,f2673,f2679,f2683,f2699,f2708,f2712,f2724,f2728,f2732,f2736,f2747,f2755,f2760,f2770,f2774,f2778,f2782,f2786,f2797,f2805,f2813,f2822,f2826,f2832,f2841,f2845,f2849,f2853,f2858,f2862,f2866,f2870,f2874,f2891,f2895,f2899,f2903,f2907,f2911,f2915,f2916,f2920,f2924,f2928,f2932,f2936,f2975,f2979,f2992,f3005,f3014,f3019,f3024,f3030,f3044,f3057,f3066,f3075,f3080,f3086,f3091,f3101,f3106,f3111,f3116,f3121,f3126,f3131,f3136,f3141,f3146,f3150,f3154,f3182,f3187,f3191,f3195,f3199,f3203,f3207,f3211,f3215,f3219,f3265,f3269,f3274,f3279,f3286,f3290,f3294,f3298,f3302,f3306,f3310,f3314,f3318,f3326,f3330,f3334,f3338,f3342,f3346,f3350,f3354,f3367,f3415,f3419,f3423,f3427,f3436,f3440,f3444,f3448,f3452,f3456,f3460,f3505,f3509,f3513,f3517,f3521,f3530,f3537,f3542,f3547,f3551,f3556,f3565,f3570,f3606,f3610,f3614,f3618,f3640,f3644,f3652,f3661,f3666,f3670,f3674,f3678,f3682,f3686,f3687,f3699,f3707,f3715,f3719,f3723,f3730,f3742,f3750,f3809,f3839,f3848,f3858,f3863,f3869,f3874,f3878,f3891,f3895,f3899,f3903,f3907,f3959,f3964,f3973,f3977,f3981,f3985,f4017,f4021,f4029,f4033,f4037,f4076,f4080,f4096,f4102,f4106,f4110,f4114,f4127,f4132,f4136,f4146,f4150,f4154,f4158,f4162,f4187,f4191,f4195,f4210,f4215,f4219,f4223,f4227,f4231,f4235,f4239,f4243,f4247,f4251,f4259,f4263,f4267,f4271,f4349,f4354,f4384,f4391,f4419,f4453,f4455,f4470,f4485,f4498,f4520,f4528,f4533,f4534,f4535,f4546,f4561,f4575,f4597,f4602,f4606,f4611,f4612,f4623,f4638,f4642,f4674,f4682,f4687,f4688,f4689,f4699,f4714,f4727,f4749,f4764,f4773,f4808,f4815,f4825,f4832,f4837,f4847,f4866,f4868,f4869,f4881,f4886,f4887,f4888,f4893,f4899,f4909,f4916,f4963,f5002,f5025,f5032,f5036,f5040,f5044,f5063,f5072,f5083,f5094,f5097,f5110,f5117,f5122,f5145,f5162,f5193,f5197,f5201,f5205,f5206,f5222,f5226,f5230,f5234,f5238,f5239,f5247,f5251,f5255,f5259,f5263,f5267,f5271,f5275,f5284,f5289,f5298,f5358,f5362,f5367,f5372,f5377,f5382,f5387,f5392,f5397,f5402,f5407,f5469,f5473,f5478,f5482,f5486,f5490,f5494,f5498,f5502,f5506,f5510,f5515,f5520,f5525,f5530,f5535,f5540,f5544,f5548,f5552,f5556,f5560,f5564,f5573,f5577,f5581,f5585,f5589,f5669,f5698,f5702,f5706,f5714,f5718,f5722,f5726,f5767,f5771,f5775,f5779,f5783,f5787,f5791,f5795,f5799,f5800,f5805,f5810,f5815,f5820,f5825,f5830,f5836,f5846,f5852,f5867,f5873,f5883,f5889,f5931,f6130,f6134,f6139,f6144,f6149,f6154,f6159,f6164,f6169,f6174,f6179,f6184,f6189,f6194,f6199,f6204,f6209,f6214,f6219,f6228,f6233,f6238,f6243,f6248,f6253,f6258,f6263,f6268,f6273,f6278,f6283,f6394,f6463,f6473,f6477,f6481,f6485,f6489,f6494,f6528,f6551,f6556,f6690,f6694,f6698,f6702,f6706,f6710,f6714,f6718,f6722,f6726,f6730,f6744,f6748,f6752,f6757,f6763,f6774,f6780,f6791,f6797,f6802,f6813,f6819,f6870,f6875,f6879,f6883,f6887,f6891,f6895,f6899,f6903,f6907,f6911,f7058,f7063,f7067,f7071,f7075,f7172,f7176,f7180,f7201,f7205,f7209,f7213,f7337,f7345,f7350,f7352,f7392,f7426,f7466,f7471,f7476,f7481,f7485,f7489,f7493,f7500,f7528,f7532,f7536,f7540,f7544,f7545,f7550,f7555,f7560,f7564,f7568,f7573,f7579,f7591,f7597,f7609,f7615,f7620,f7632,f7638,f7650,f7656,f7668,f7674,f7687,f7693,f7705,f7711,f7890,f7894,f7898,f7902,f7907,f7921,f7925,f7929,f7933,f7937,f7950,f7979,f7996,f8016,f8021,f8038,f8058,f8075,f8088,f8100,f8223,f8227,f8257,f8262,f8278,f8284,f8309,f8315,f8335,f8351,f8357,f8362,f8378,f8384,f8404,f8421,f8427,f8443,f8449,f8454,f8474,f8490,f8496,f8535,f8541,f8577,f8581,f8585,f8589,f8593,f8597,f8684,f8688,f8692,f8696,f8700,f8737,f8741,f8745,f8749,f8753,f8757,f8761,f8765,f8769,f8773,f8777,f8782,f8786,f8790,f8794,f8798,f8802,f8807,f8813,f8818,f8825,f8830,f8836,f8841,f8847,f8854,f9030,f9063,f9067,f9071,f9075,f9079,f9083,f9087,f9091,f9095,f9099,f9103,f9156,f9270,f9274,f9278,f9328,f9332,f9354,f9358,f9363,f9367,f9371,f9423,f9427,f9431,f9461,f9470,f9474,f9612,f9616,f9621,f9625,f9676,f9683,f9698,f9707,f9718,f9729,f9736,f9749,f9759,f9768,f9779,f9790,f9797,f9812,f9821,f9832,f9840,f9844,f9851,f9865,f9874,f9891,f9902,f9906,f9910,f9920,f9924,f9934,f9939,f9949,f9953,f9963,f9970,f9974,f9975,f9979,f9983,f9987,f10003,f10008,f10022,f10043,f10048,f10054,f10067,f10080,f10085,f10091,f10112,f10121,f10126,f10132,f10153,f10458,f10462,f10466,f10470,f10494,f10526,f10532,f10545,f10557,f10560,f10569,f10578,f10591,f10596,f10601,f10606,f10611,f10616,f10656,f10665,f10674,f10683,f10692,f10697,f10704,f10720,f10726,f10730,f10735,f10741,f10745,f10749,f10863,f10869,f10875,f10881,f10885,f10890,f10894,f10898,f11001,f11005,f11010,f11015,f11122,f11131,f11147,f11152,f11161,f11165,f11169,f11173,f11218,f11223,f11227,f11270,f11315,f11327,f11345,f11348,f11355,f11360,f11391,f11396,f11443,f11448,f11474,f11478,f11487,f11492,f11502,f11509,f11518,f11552,f11564,f11575,f11582,f11656,f11664,f11674,f11677,f11688,f11689,f11698,f11708,f11711,f11718,f11723,f11732,f11734,f11736,f11746,f11753,f11754,f11761,f11770,f11780,f11783,f11784,f11797,f11806,f11808,f11814,f11819,f11827,f11831,f11836,f11841,f11846,f11851,f11859,f11865,f11872,f11884,f11890,f11902,f11907,f11912,f11917,f11922,f11923,f11951,f11956,f11961,f12107,f12117,f12121,f12126,f12130,f12134,f12139,f12164,f12169,f12213,f12218,f12262,f12266,f12270,f12274,f12279,f12285,f12297,f12303,f12378,f12393,f12404,f12408,f12412,f12416,f12435,f12451,f12455,f12459,f12479,f12513,f12517,f12521,f12525,f12529,f12538,f12545,f12550,f12563,f12580,f12584,f12588,f12592,f12597,f12601,f12610,f12619,f12624,f12629,f12635,f12768,f12775,f12853,f12857,f12863,f12867,f12886,f12894,f12909,f12924,f12939,f12950,f12955,f12959,f12963,f12967,f12971,f12975,f12979,f12983,f12987,f12991,f12995,f12999,f13003,f13007,f13011,f13015,f13019,f13023,f13032,f13037,f13046,f13419,f13474,f13478,f13482,f13486,f13490,f13495,f13499,f13503,f13507,f13511,f13516,f13529,f13542,f13555,f13560,f13572,f13577,f13582,f13587,f13592,f13597,f13602,f13607,f13627,f13728,f13733,f13737,f13741,f13745,f13749,f13753,f13757,f13761,f13762,f13944,f13953,f13954,f14011,f14012,f14028,f14036,f14060,f14065,f14075,f14080,f14121,f14127,f14132,f14133,f14146,f14150,f14154,f14158,f14162,f14166,f14167]) ).
fof(f14167,plain,
( ~ spl34_393
| ~ spl34_97
| ~ spl34_1149 ),
inference(avatar_split_clause,[],[f14135,f11649,f982,f2819]) ).
fof(f2819,plain,
( spl34_393
<=> sP3(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_393])]) ).
fof(f982,plain,
( spl34_97
<=> ! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_97])]) ).
fof(f11649,plain,
( spl34_1149
<=> v3_struct_0(k11_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1149])]) ).
fof(f14135,plain,
( ~ sP3(k7_conlat_2(sK6))
| ~ spl34_97
| ~ spl34_1149 ),
inference(resolution,[],[f11651,f983]) ).
fof(f983,plain,
( ! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_97 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f11651,plain,
( v3_struct_0(k11_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_1149 ),
inference(avatar_component_clause,[],[f11649]) ).
fof(f14166,plain,
( spl34_1333
| ~ spl34_388
| ~ spl34_740 ),
inference(avatar_split_clause,[],[f5967,f5785,f2784,f14164]) ).
fof(f14164,plain,
( spl34_1333
<=> ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0))))))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1333])]) ).
fof(f2784,plain,
( spl34_388
<=> ! [X0] :
( v1_relat_1(u3_conlat_1(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_388])]) ).
fof(f5785,plain,
( spl34_740
<=> ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0)))))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_740])]) ).
fof(f5967,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0))))))
| ~ l2_conlat_1(X0) )
| ~ spl34_388
| ~ spl34_740 ),
inference(resolution,[],[f5786,f2785]) ).
fof(f2785,plain,
( ! [X0] :
( v1_relat_1(u3_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_388 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f5786,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(k4_relat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))) )
| ~ spl34_740 ),
inference(avatar_component_clause,[],[f5785]) ).
fof(f14162,plain,
( spl34_1332
| ~ spl34_387
| ~ spl34_740 ),
inference(avatar_split_clause,[],[f5963,f5785,f2780,f14160]) ).
fof(f14160,plain,
( spl34_1332
<=> ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0))))))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1332])]) ).
fof(f2780,plain,
( spl34_387
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_387])]) ).
fof(f5963,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0))))))
| ~ l1_lattices(X0) )
| ~ spl34_387
| ~ spl34_740 ),
inference(resolution,[],[f5786,f2781]) ).
fof(f2781,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl34_387 ),
inference(avatar_component_clause,[],[f2780]) ).
fof(f14158,plain,
( spl34_1331
| ~ spl34_386
| ~ spl34_740 ),
inference(avatar_split_clause,[],[f5960,f5785,f2776,f14156]) ).
fof(f14156,plain,
( spl34_1331
<=> ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0))))))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1331])]) ).
fof(f2776,plain,
( spl34_386
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_386])]) ).
fof(f5960,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0))))))
| ~ l2_lattices(X0) )
| ~ spl34_386
| ~ spl34_740 ),
inference(resolution,[],[f5786,f2777]) ).
fof(f2777,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl34_386 ),
inference(avatar_component_clause,[],[f2776]) ).
fof(f14154,plain,
( spl34_1330
| ~ spl34_250
| ~ spl34_738 ),
inference(avatar_split_clause,[],[f5933,f5777,f1818,f14152]) ).
fof(f14152,plain,
( spl34_1330
<=> ! [X0] :
( k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1330])]) ).
fof(f1818,plain,
( spl34_250
<=> ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_250])]) ).
fof(f5777,plain,
( spl34_738
<=> ! [X0] :
( k4_relat_1(k4_relat_1(u1_lattices(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0)))))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_738])]) ).
fof(f5933,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))))
| ~ l3_lattices(X0) )
| ~ spl34_250
| ~ spl34_738 ),
inference(resolution,[],[f5778,f1819]) ).
fof(f1819,plain,
( ! [X0] :
( l1_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl34_250 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f5778,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| k4_relat_1(k4_relat_1(u1_lattices(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0))))) )
| ~ spl34_738 ),
inference(avatar_component_clause,[],[f5777]) ).
fof(f14150,plain,
( spl34_1329
| ~ spl34_249
| ~ spl34_737 ),
inference(avatar_split_clause,[],[f5910,f5773,f1814,f14148]) ).
fof(f14148,plain,
( spl34_1329
<=> ! [X0] :
( k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1329])]) ).
fof(f1814,plain,
( spl34_249
<=> ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_249])]) ).
fof(f5773,plain,
( spl34_737
<=> ! [X0] :
( k4_relat_1(k4_relat_1(u2_lattices(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0)))))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_737])]) ).
fof(f5910,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))))
| ~ l3_lattices(X0) )
| ~ spl34_249
| ~ spl34_737 ),
inference(resolution,[],[f5774,f1815]) ).
fof(f1815,plain,
( ! [X0] :
( l2_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl34_249 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f5774,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| k4_relat_1(k4_relat_1(u2_lattices(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0))))) )
| ~ spl34_737 ),
inference(avatar_component_clause,[],[f5773]) ).
fof(f14146,plain,
( ~ spl34_1327
| spl34_1328
| ~ spl34_304
| ~ spl34_714 ),
inference(avatar_split_clause,[],[f5647,f5532,f2142,f14143,f14139]) ).
fof(f14139,plain,
( spl34_1327
<=> m1_relset_1(k4_relat_1(u3_conlat_1(sK29)),u1_conlat_1(sK29),u2_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1327])]) ).
fof(f14143,plain,
( spl34_1328
<=> m1_relset_1(u3_conlat_1(sK29),u2_conlat_1(sK29),u1_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1328])]) ).
fof(f2142,plain,
( spl34_304
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_304])]) ).
fof(f5532,plain,
( spl34_714
<=> u3_conlat_1(sK29) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_714])]) ).
fof(f5647,plain,
( m1_relset_1(u3_conlat_1(sK29),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK29)),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ~ spl34_304
| ~ spl34_714 ),
inference(superposition,[],[f2143,f5534]) ).
fof(f5534,plain,
( u3_conlat_1(sK29) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29)))
| ~ spl34_714 ),
inference(avatar_component_clause,[],[f5532]) ).
fof(f2143,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl34_304 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f14133,plain,
( ~ spl34_1153
| ~ spl34_123
| ~ spl34_1146 ),
inference(avatar_split_clause,[],[f14014,f11637,f1089,f11685]) ).
fof(f11685,plain,
( spl34_1153
<=> sP5(k11_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1153])]) ).
fof(f1089,plain,
( spl34_123
<=> ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_123])]) ).
fof(f11637,plain,
( spl34_1146
<=> v3_struct_0(k1_lattice2(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1146])]) ).
fof(f14014,plain,
( ~ sP5(k11_conlat_1(sK6))
| ~ spl34_123
| ~ spl34_1146 ),
inference(resolution,[],[f11639,f1090]) ).
fof(f1090,plain,
( ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0) )
| ~ spl34_123 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f11639,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(sK6)))
| ~ spl34_1146 ),
inference(avatar_component_clause,[],[f11637]) ).
fof(f14132,plain,
( ~ spl34_1323
| spl34_1326
| ~ spl34_199
| ~ spl34_713 ),
inference(avatar_split_clause,[],[f5643,f5527,f1506,f14129,f14114]) ).
fof(f14114,plain,
( spl34_1323
<=> m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u1_conlat_1(sK28),u2_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1323])]) ).
fof(f14129,plain,
( spl34_1326
<=> m2_relset_1(u3_conlat_1(sK28),u2_conlat_1(sK28),u1_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1326])]) ).
fof(f1506,plain,
( spl34_199
<=> ! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_199])]) ).
fof(f5527,plain,
( spl34_713
<=> u3_conlat_1(sK28) = k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_713])]) ).
fof(f5643,plain,
( m2_relset_1(u3_conlat_1(sK28),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_199
| ~ spl34_713 ),
inference(superposition,[],[f1507,f5529]) ).
fof(f5529,plain,
( u3_conlat_1(sK28) = k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28)))
| ~ spl34_713 ),
inference(avatar_component_clause,[],[f5527]) ).
fof(f1507,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_199 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f14127,plain,
( ~ spl34_1325
| ~ spl34_711
| ~ spl34_1315
| spl34_1323 ),
inference(avatar_split_clause,[],[f14122,f14114,f14025,f5517,f14124]) ).
fof(f14124,plain,
( spl34_1325
<=> m1_relset_1(u3_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(sK28),u2_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1325])]) ).
fof(f5517,plain,
( spl34_711
<=> k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = k4_relat_1(u3_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_711])]) ).
fof(f14025,plain,
( spl34_1315
<=> k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = u3_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1315])]) ).
fof(f14122,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_711
| ~ spl34_1315
| spl34_1323 ),
inference(forward_demodulation,[],[f14116,f14047]) ).
fof(f14047,plain,
( u3_conlat_1(k7_conlat_2(sK28)) = k4_relat_1(u3_conlat_1(sK28))
| ~ spl34_711
| ~ spl34_1315 ),
inference(superposition,[],[f14027,f5519]) ).
fof(f5519,plain,
( k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = k4_relat_1(u3_conlat_1(sK28))
| ~ spl34_711 ),
inference(avatar_component_clause,[],[f5517]) ).
fof(f14027,plain,
( k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = u3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_1315 ),
inference(avatar_component_clause,[],[f14025]) ).
fof(f14116,plain,
( ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u1_conlat_1(sK28),u2_conlat_1(sK28))
| spl34_1323 ),
inference(avatar_component_clause,[],[f14114]) ).
fof(f14121,plain,
( ~ spl34_1323
| spl34_1324
| ~ spl34_304
| ~ spl34_713 ),
inference(avatar_split_clause,[],[f5642,f5527,f2142,f14118,f14114]) ).
fof(f14118,plain,
( spl34_1324
<=> m1_relset_1(u3_conlat_1(sK28),u2_conlat_1(sK28),u1_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1324])]) ).
fof(f5642,plain,
( m1_relset_1(u3_conlat_1(sK28),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_304
| ~ spl34_713 ),
inference(superposition,[],[f2143,f5529]) ).
fof(f14080,plain,
( ~ spl34_523
| spl34_1322
| ~ spl34_304
| ~ spl34_712 ),
inference(avatar_split_clause,[],[f5637,f5522,f2142,f14077,f3655]) ).
fof(f3655,plain,
( spl34_523
<=> m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_523])]) ).
fof(f14077,plain,
( spl34_1322
<=> m1_relset_1(k4_relat_1(u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1322])]) ).
fof(f5522,plain,
( spl34_712
<=> k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = k4_relat_1(u3_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_712])]) ).
fof(f5637,plain,
( m1_relset_1(k4_relat_1(u3_conlat_1(sK29)),u2_conlat_1(sK29),u1_conlat_1(sK29))
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ~ spl34_304
| ~ spl34_712 ),
inference(superposition,[],[f2143,f5524]) ).
fof(f5524,plain,
( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = k4_relat_1(u3_conlat_1(sK29))
| ~ spl34_712 ),
inference(avatar_component_clause,[],[f5522]) ).
fof(f14075,plain,
( spl34_1320
| ~ spl34_1321
| ~ spl34_557
| ~ spl34_979 ),
inference(avatar_split_clause,[],[f13803,f9027,f3979,f14072,f14068]) ).
fof(f14068,plain,
( spl34_1320
<=> u2_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1320])]) ).
fof(f14072,plain,
( spl34_1321
<=> k7_conlat_2(sK28) = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1321])]) ).
fof(f3979,plain,
( spl34_557
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_557])]) ).
fof(f9027,plain,
( spl34_979
<=> k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK28))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_979])]) ).
fof(f13803,plain,
( k7_conlat_2(sK28) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28)))
| u2_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28)))
| ~ spl34_557
| ~ spl34_979 ),
inference(superposition,[],[f3980,f9029]) ).
fof(f9029,plain,
( k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK28)))))
| ~ spl34_979 ),
inference(avatar_component_clause,[],[f9027]) ).
fof(f3980,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = X0 )
| ~ spl34_557 ),
inference(avatar_component_clause,[],[f3979]) ).
fof(f14065,plain,
( spl34_1319
| ~ spl34_711
| ~ spl34_1315
| ~ spl34_1318 ),
inference(avatar_split_clause,[],[f14061,f14058,f14025,f5517,f14063]) ).
fof(f14063,plain,
( spl34_1319
<=> ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(k7_conlat_2(sK28)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK28),u1_conlat_1(sK28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1319])]) ).
fof(f14058,plain,
( spl34_1318
<=> ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK28)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK28),u1_conlat_1(sK28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1318])]) ).
fof(f14061,plain,
( ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(k7_conlat_2(sK28)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK28),u1_conlat_1(sK28))) )
| ~ spl34_711
| ~ spl34_1315
| ~ spl34_1318 ),
inference(forward_demodulation,[],[f14059,f14047]) ).
fof(f14059,plain,
( ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK28)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK28),u1_conlat_1(sK28))) )
| ~ spl34_1318 ),
inference(avatar_component_clause,[],[f14058]) ).
fof(f14060,plain,
( spl34_1318
| ~ spl34_316
| ~ spl34_1312 ),
inference(avatar_split_clause,[],[f13945,f13941,f2276,f14058]) ).
fof(f2276,plain,
( spl34_316
<=> ! [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,[spl34_316])]) ).
fof(f13941,plain,
( spl34_1312
<=> m2_relset_1(k4_relat_1(u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1312])]) ).
fof(f13945,plain,
( ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK28)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK28),u1_conlat_1(sK28))) )
| ~ spl34_316
| ~ spl34_1312 ),
inference(resolution,[],[f13943,f2277]) ).
fof(f2277,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_316 ),
inference(avatar_component_clause,[],[f2276]) ).
fof(f13943,plain,
( m2_relset_1(k4_relat_1(u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_1312 ),
inference(avatar_component_clause,[],[f13941]) ).
fof(f14036,plain,
( spl34_1316
| ~ spl34_1317
| ~ spl34_300
| ~ spl34_1312 ),
inference(avatar_split_clause,[],[f13946,f13941,f2126,f14033,f14030]) ).
fof(f14030,plain,
( spl34_1316
<=> ! [X0] : ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1316])]) ).
fof(f14033,plain,
( spl34_1317
<=> v1_xboole_0(k2_zfmisc_1(u2_conlat_1(sK28),u1_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1317])]) ).
fof(f2126,plain,
( spl34_300
<=> ! [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,[spl34_300])]) ).
fof(f13946,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_conlat_1(sK28),u1_conlat_1(sK28)))
| ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK28))) )
| ~ spl34_300
| ~ spl34_1312 ),
inference(resolution,[],[f13943,f2127]) ).
fof(f2127,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl34_300 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f14028,plain,
( spl34_1315
| ~ spl34_568
| ~ spl34_799 ),
inference(avatar_split_clause,[],[f13910,f6491,f4100,f14025]) ).
fof(f4100,plain,
( spl34_568
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_568])]) ).
fof(f6491,plain,
( spl34_799
<=> k7_conlat_2(sK28) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_799])]) ).
fof(f13910,plain,
( k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = u3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_568
| ~ spl34_799 ),
inference(trivial_inequality_removal,[],[f13893]) ).
fof(f13893,plain,
( k7_conlat_2(sK28) != k7_conlat_2(sK28)
| k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = u3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_568
| ~ spl34_799 ),
inference(superposition,[],[f4101,f6493]) ).
fof(f6493,plain,
( k7_conlat_2(sK28) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28)))
| ~ spl34_799 ),
inference(avatar_component_clause,[],[f6491]) ).
fof(f4101,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = X2 )
| ~ spl34_568 ),
inference(avatar_component_clause,[],[f4100]) ).
fof(f14012,plain,
( spl34_1
| ~ spl34_2
| ~ spl34_152
| ~ spl34_682
| spl34_1153 ),
inference(avatar_split_clause,[],[f11820,f11685,f5273,f1231,f537,f532]) ).
fof(f532,plain,
( spl34_1
<=> v3_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f537,plain,
( spl34_2
<=> l2_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_2])]) ).
fof(f1231,plain,
( spl34_152
<=> sP1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_152])]) ).
fof(f5273,plain,
( spl34_682
<=> ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_682])]) ).
fof(f11820,plain,
( ~ sP1(sK6)
| ~ l2_conlat_1(sK6)
| v3_conlat_1(sK6)
| ~ spl34_682
| spl34_1153 ),
inference(resolution,[],[f11687,f5274]) ).
fof(f5274,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_682 ),
inference(avatar_component_clause,[],[f5273]) ).
fof(f11687,plain,
( ~ sP5(k11_conlat_1(sK6))
| spl34_1153 ),
inference(avatar_component_clause,[],[f11685]) ).
fof(f14011,plain,
( ~ spl34_1314
| spl34_683
| ~ spl34_557
| ~ spl34_558
| ~ spl34_799
| ~ spl34_852 ),
inference(avatar_split_clause,[],[f13869,f7389,f6491,f3983,f3979,f5277,f14008]) ).
fof(f14008,plain,
( spl34_1314
<=> k7_conlat_2(sK28) = k7_conlat_2(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1314])]) ).
fof(f5277,plain,
( spl34_683
<=> u1_conlat_1(sK28) = u2_conlat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_683])]) ).
fof(f3983,plain,
( spl34_558
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u1_conlat_1(sK28) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_558])]) ).
fof(f7389,plain,
( spl34_852
<=> k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(k7_conlat_2(sK28)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_852])]) ).
fof(f13869,plain,
( u1_conlat_1(sK28) = u2_conlat_1(sK28)
| k7_conlat_2(sK28) != k7_conlat_2(k7_conlat_2(sK28))
| ~ spl34_557
| ~ spl34_558
| ~ spl34_799
| ~ spl34_852 ),
inference(forward_demodulation,[],[f13845,f13827]) ).
fof(f13827,plain,
( u2_conlat_1(sK28) = u1_conlat_1(k7_conlat_2(sK28))
| ~ spl34_557
| ~ spl34_799 ),
inference(trivial_inequality_removal,[],[f13810]) ).
fof(f13810,plain,
( k7_conlat_2(sK28) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = u1_conlat_1(k7_conlat_2(sK28))
| ~ spl34_557
| ~ spl34_799 ),
inference(superposition,[],[f3980,f6493]) ).
fof(f13845,plain,
( k7_conlat_2(sK28) != k7_conlat_2(k7_conlat_2(sK28))
| u1_conlat_1(sK28) = u1_conlat_1(k7_conlat_2(sK28))
| ~ spl34_558
| ~ spl34_852 ),
inference(superposition,[],[f3984,f7391]) ).
fof(f7391,plain,
( k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(k7_conlat_2(sK28)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK28))))
| ~ spl34_852 ),
inference(avatar_component_clause,[],[f7389]) ).
fof(f3984,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u1_conlat_1(sK28) = X1 )
| ~ spl34_558 ),
inference(avatar_component_clause,[],[f3983]) ).
fof(f13954,plain,
( spl34_1233
| ~ spl34_558
| ~ spl34_799 ),
inference(avatar_split_clause,[],[f13868,f6491,f3983,f12603]) ).
fof(f12603,plain,
( spl34_1233
<=> u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1233])]) ).
fof(f13868,plain,
( u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(sK28))
| ~ spl34_558
| ~ spl34_799 ),
inference(trivial_inequality_removal,[],[f13851]) ).
fof(f13851,plain,
( k7_conlat_2(sK28) != k7_conlat_2(sK28)
| u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(sK28))
| ~ spl34_558
| ~ spl34_799 ),
inference(superposition,[],[f3984,f6493]) ).
fof(f13953,plain,
( spl34_1313
| ~ spl34_557
| ~ spl34_799 ),
inference(avatar_split_clause,[],[f13827,f6491,f3979,f13950]) ).
fof(f13950,plain,
( spl34_1313
<=> u2_conlat_1(sK28) = u1_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1313])]) ).
fof(f13944,plain,
( spl34_1312
| ~ spl34_180
| ~ spl34_507 ),
inference(avatar_split_clause,[],[f13765,f3534,f1359,f13941]) ).
fof(f1359,plain,
( spl34_180
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_180])]) ).
fof(f3534,plain,
( spl34_507
<=> m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_507])]) ).
fof(f13765,plain,
( m2_relset_1(k4_relat_1(u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_180
| ~ spl34_507 ),
inference(resolution,[],[f3535,f1360]) ).
fof(f1360,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl34_180 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f3535,plain,
( m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_507 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f13762,plain,
( ~ spl34_521
| spl34_507
| ~ spl34_304
| ~ spl34_711 ),
inference(avatar_split_clause,[],[f5632,f5517,f2142,f3534,f3646]) ).
fof(f3646,plain,
( spl34_521
<=> m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_521])]) ).
fof(f5632,plain,
( m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_304
| ~ spl34_711 ),
inference(superposition,[],[f2143,f5519]) ).
fof(f13761,plain,
( spl34_1311
| ~ spl34_161
| ~ spl34_705 ),
inference(avatar_split_clause,[],[f5606,f5492,f1268,f13759]) ).
fof(f13759,plain,
( spl34_1311
<=> ! [X0] :
( k4_relat_1(u3_conlat_1(k7_conlat_2(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(X0)))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1311])]) ).
fof(f1268,plain,
( spl34_161
<=> ! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_161])]) ).
fof(f5492,plain,
( spl34_705
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| k4_relat_1(u3_conlat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_705])]) ).
fof(f5606,plain,
( ! [X0] :
( k4_relat_1(u3_conlat_1(k7_conlat_2(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(X0)))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_705 ),
inference(resolution,[],[f5493,f1269]) ).
fof(f1269,plain,
( ! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f5493,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k4_relat_1(u3_conlat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0)))) )
| ~ spl34_705 ),
inference(avatar_component_clause,[],[f5492]) ).
fof(f13757,plain,
( spl34_1310
| ~ spl34_271
| ~ spl34_704 ),
inference(avatar_split_clause,[],[f5598,f5488,f1974,f13755]) ).
fof(f13755,plain,
( spl34_1310
<=> ! [X0] :
( k4_relat_1(u1_lattices(k11_conlat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0)))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1310])]) ).
fof(f1974,plain,
( spl34_271
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l1_lattices(k11_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_271])]) ).
fof(f5488,plain,
( spl34_704
<=> ! [X0] :
( ~ l1_lattices(X0)
| k4_relat_1(u1_lattices(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_704])]) ).
fof(f5598,plain,
( ! [X0] :
( k4_relat_1(u1_lattices(k11_conlat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0)))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_271
| ~ spl34_704 ),
inference(resolution,[],[f5489,f1975]) ).
fof(f1975,plain,
( ! [X0] :
( l1_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_271 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f5489,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| k4_relat_1(u1_lattices(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0)))) )
| ~ spl34_704 ),
inference(avatar_component_clause,[],[f5488]) ).
fof(f13753,plain,
( spl34_1309
| ~ spl34_270
| ~ spl34_703 ),
inference(avatar_split_clause,[],[f5590,f5484,f1970,f13751]) ).
fof(f13751,plain,
( spl34_1309
<=> ! [X0] :
( k4_relat_1(u2_lattices(k11_conlat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0)))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1309])]) ).
fof(f1970,plain,
( spl34_270
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l2_lattices(k11_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_270])]) ).
fof(f5484,plain,
( spl34_703
<=> ! [X0] :
( ~ l2_lattices(X0)
| k4_relat_1(u2_lattices(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_703])]) ).
fof(f5590,plain,
( ! [X0] :
( k4_relat_1(u2_lattices(k11_conlat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0)))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_270
| ~ spl34_703 ),
inference(resolution,[],[f5485,f1971]) ).
fof(f1971,plain,
( ! [X0] :
( l2_lattices(k11_conlat_1(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_270 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f5485,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| k4_relat_1(u2_lattices(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0)))) )
| ~ spl34_703 ),
inference(avatar_component_clause,[],[f5484]) ).
fof(f13749,plain,
( spl34_1308
| ~ spl34_284
| ~ spl34_688 ),
inference(avatar_split_clause,[],[f5413,f5356,f2035,f13747]) ).
fof(f13747,plain,
( spl34_1308
<=> ! [X0] :
( v1_xboole_0(sK7(sK7(X0)))
| v1_xboole_0(sK7(X0))
| m1_subset_1(sK12(sK7(sK7(X0))),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1308])]) ).
fof(f2035,plain,
( spl34_284
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_284])]) ).
fof(f5356,plain,
( spl34_688
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK7(X0))
| r2_hidden(sK12(sK7(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_688])]) ).
fof(f5413,plain,
( ! [X0] :
( v1_xboole_0(sK7(sK7(X0)))
| v1_xboole_0(sK7(X0))
| m1_subset_1(sK12(sK7(sK7(X0))),X0)
| v1_xboole_0(X0) )
| ~ spl34_284
| ~ spl34_688 ),
inference(resolution,[],[f5357,f2036]) ).
fof(f2036,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK7(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl34_284 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f5357,plain,
( ! [X0] :
( r2_hidden(sK12(sK7(X0)),X0)
| v1_xboole_0(sK7(X0))
| v1_xboole_0(X0) )
| ~ spl34_688 ),
inference(avatar_component_clause,[],[f5356]) ).
fof(f13745,plain,
( spl34_1307
| ~ spl34_500
| ~ spl34_669 ),
inference(avatar_split_clause,[],[f5218,f5203,f3503,f13743]) ).
fof(f13743,plain,
( spl34_1307
<=> ! [X0,X1] :
( v1_xboole_0(sK18(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1307])]) ).
fof(f3503,plain,
( spl34_500
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_500])]) ).
fof(f5203,plain,
( spl34_669
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_669])]) ).
fof(f5218,plain,
( ! [X0,X1] :
( v1_xboole_0(sK18(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) )
| ~ spl34_500
| ~ spl34_669 ),
inference(resolution,[],[f5204,f3504]) ).
fof(f3504,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) )
| ~ spl34_500 ),
inference(avatar_component_clause,[],[f3503]) ).
fof(f5204,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK18(X0,X1)) )
| ~ spl34_669 ),
inference(avatar_component_clause,[],[f5203]) ).
fof(f13741,plain,
( spl34_1306
| ~ spl34_500
| ~ spl34_668 ),
inference(avatar_split_clause,[],[f5216,f5199,f3503,f13739]) ).
fof(f13739,plain,
( spl34_1306
<=> ! [X0,X1] :
( v1_xboole_0(sK17(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1306])]) ).
fof(f5199,plain,
( spl34_668
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_668])]) ).
fof(f5216,plain,
( ! [X0,X1] :
( v1_xboole_0(sK17(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) )
| ~ spl34_500
| ~ spl34_668 ),
inference(resolution,[],[f5200,f3504]) ).
fof(f5200,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK17(X0,X1)) )
| ~ spl34_668 ),
inference(avatar_component_clause,[],[f5199]) ).
fof(f13737,plain,
( spl34_1305
| ~ spl34_500
| ~ spl34_667 ),
inference(avatar_split_clause,[],[f5214,f5195,f3503,f13735]) ).
fof(f13735,plain,
( spl34_1305
<=> ! [X0,X1] :
( v1_xboole_0(sK16(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1305])]) ).
fof(f5195,plain,
( spl34_667
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK16(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_667])]) ).
fof(f5214,plain,
( ! [X0,X1] :
( v1_xboole_0(sK16(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) )
| ~ spl34_500
| ~ spl34_667 ),
inference(resolution,[],[f5196,f3504]) ).
fof(f5196,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK16(X0,X1)) )
| ~ spl34_667 ),
inference(avatar_component_clause,[],[f5195]) ).
fof(f13733,plain,
( spl34_1304
| ~ spl34_51
| ~ spl34_1284 ),
inference(avatar_split_clause,[],[f13608,f13492,f779,f13730]) ).
fof(f13730,plain,
( spl34_1304
<=> l1_struct_0(k11_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1304])]) ).
fof(f779,plain,
( spl34_51
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_51])]) ).
fof(f13492,plain,
( spl34_1284
<=> l1_lattices(k11_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1284])]) ).
fof(f13608,plain,
( l1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_51
| ~ spl34_1284 ),
inference(resolution,[],[f13494,f780]) ).
fof(f780,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) )
| ~ spl34_51 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f13494,plain,
( l1_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_1284 ),
inference(avatar_component_clause,[],[f13492]) ).
fof(f13728,plain,
( spl34_1303
| ~ spl34_500
| ~ spl34_666 ),
inference(avatar_split_clause,[],[f5212,f5191,f3503,f13726]) ).
fof(f13726,plain,
( spl34_1303
<=> ! [X0,X1] :
( v1_xboole_0(sK15(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1303])]) ).
fof(f5191,plain,
( spl34_666
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_666])]) ).
fof(f5212,plain,
( ! [X0,X1] :
( v1_xboole_0(sK15(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) )
| ~ spl34_500
| ~ spl34_666 ),
inference(resolution,[],[f5192,f3504]) ).
fof(f5192,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK15(X0,X1)) )
| ~ spl34_666 ),
inference(avatar_component_clause,[],[f5191]) ).
fof(f13627,plain,
( spl34_1302
| ~ spl34_139
| ~ spl34_673
| ~ spl34_768
| ~ spl34_993
| ~ spl34_1011 ),
inference(avatar_split_clause,[],[f9664,f9623,f9272,f6171,f5232,f1164,f13624]) ).
fof(f13624,plain,
( spl34_1302
<=> k4_relat_1(u2_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u2_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1302])]) ).
fof(f1164,plain,
( spl34_139
<=> l2_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_139])]) ).
fof(f5232,plain,
( spl34_673
<=> ! [X0] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_673])]) ).
fof(f6171,plain,
( spl34_768
<=> k4_relat_1(u2_lattices(sK25)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_768])]) ).
fof(f9272,plain,
( spl34_993
<=> ! [X0] :
( k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_993])]) ).
fof(f9623,plain,
( spl34_1011
<=> ! [X0] :
( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) = k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1011])]) ).
fof(f9664,plain,
( k4_relat_1(u2_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u2_lattices(sK25))
| ~ spl34_139
| ~ spl34_673
| ~ spl34_768
| ~ spl34_993
| ~ spl34_1011 ),
inference(forward_demodulation,[],[f9663,f9312]) ).
fof(f9312,plain,
( u2_lattices(sK25) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_673
| ~ spl34_768
| ~ spl34_993 ),
inference(forward_demodulation,[],[f9311,f5305]) ).
fof(f5305,plain,
( u2_lattices(sK25) = k4_relat_1(k4_relat_1(u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_673 ),
inference(resolution,[],[f5233,f1166]) ).
fof(f1166,plain,
( l2_lattices(sK25)
| ~ spl34_139 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f5233,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) )
| ~ spl34_673 ),
inference(avatar_component_clause,[],[f5232]) ).
fof(f9311,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK25))) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_768
| ~ spl34_993 ),
inference(forward_demodulation,[],[f9304,f6173]) ).
fof(f6173,plain,
( k4_relat_1(u2_lattices(sK25)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25))
| ~ spl34_768 ),
inference(avatar_component_clause,[],[f6171]) ).
fof(f9304,plain,
( k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_993 ),
inference(resolution,[],[f9273,f1166]) ).
fof(f9273,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) )
| ~ spl34_993 ),
inference(avatar_component_clause,[],[f9272]) ).
fof(f9663,plain,
( k4_relat_1(u2_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u2_lattices(sK25))))
| ~ spl34_139
| ~ spl34_768
| ~ spl34_1011 ),
inference(forward_demodulation,[],[f9656,f6173]) ).
fof(f9656,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25))))
| ~ spl34_139
| ~ spl34_1011 ),
inference(resolution,[],[f9624,f1166]) ).
fof(f9624,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) = k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)))) )
| ~ spl34_1011 ),
inference(avatar_component_clause,[],[f9623]) ).
fof(f13607,plain,
( spl34_1301
| ~ spl34_8
| ~ spl34_673
| ~ spl34_767
| ~ spl34_993
| ~ spl34_1011 ),
inference(avatar_split_clause,[],[f9662,f9623,f9272,f6166,f5232,f567,f13604]) ).
fof(f13604,plain,
( spl34_1301
<=> k4_relat_1(u2_lattices(sK22)) = k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u2_lattices(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1301])]) ).
fof(f567,plain,
( spl34_8
<=> l2_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_8])]) ).
fof(f6166,plain,
( spl34_767
<=> k4_relat_1(u2_lattices(sK22)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_767])]) ).
fof(f9662,plain,
( k4_relat_1(u2_lattices(sK22)) = k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u2_lattices(sK22))
| ~ spl34_8
| ~ spl34_673
| ~ spl34_767
| ~ spl34_993
| ~ spl34_1011 ),
inference(forward_demodulation,[],[f9661,f9310]) ).
fof(f9310,plain,
( u2_lattices(sK22) = k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k4_relat_1(u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_673
| ~ spl34_767
| ~ spl34_993 ),
inference(forward_demodulation,[],[f9309,f5304]) ).
fof(f5304,plain,
( u2_lattices(sK22) = k4_relat_1(k4_relat_1(u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_673 ),
inference(resolution,[],[f5233,f569]) ).
fof(f569,plain,
( l2_lattices(sK22)
| ~ spl34_8 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f9309,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK22))) = k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k4_relat_1(u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_767
| ~ spl34_993 ),
inference(forward_demodulation,[],[f9303,f6168]) ).
fof(f6168,plain,
( k4_relat_1(u2_lattices(sK22)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22))
| ~ spl34_767 ),
inference(avatar_component_clause,[],[f6166]) ).
fof(f9303,plain,
( k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_993 ),
inference(resolution,[],[f9273,f569]) ).
fof(f9661,plain,
( k4_relat_1(u2_lattices(sK22)) = k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k4_relat_1(u2_lattices(sK22))))
| ~ spl34_8
| ~ spl34_767
| ~ spl34_1011 ),
inference(forward_demodulation,[],[f9655,f6168]) ).
fof(f9655,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22)) = k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22))))
| ~ spl34_8
| ~ spl34_1011 ),
inference(resolution,[],[f9624,f569]) ).
fof(f13602,plain,
( spl34_1300
| ~ spl34_132
| ~ spl34_674
| ~ spl34_762
| ~ spl34_992
| ~ spl34_1009 ),
inference(avatar_split_clause,[],[f9643,f9614,f9268,f6141,f5236,f1125,f13599]) ).
fof(f13599,plain,
( spl34_1300
<=> k4_relat_1(u1_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1300])]) ).
fof(f1125,plain,
( spl34_132
<=> l1_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_132])]) ).
fof(f5236,plain,
( spl34_674
<=> ! [X0] :
( ~ l1_lattices(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_674])]) ).
fof(f6141,plain,
( spl34_762
<=> k4_relat_1(u1_lattices(sK25)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_762])]) ).
fof(f9268,plain,
( spl34_992
<=> ! [X0] :
( k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_992])]) ).
fof(f9614,plain,
( spl34_1009
<=> ! [X0] :
( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) = k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1009])]) ).
fof(f9643,plain,
( k4_relat_1(u1_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_lattices(sK25))
| ~ spl34_132
| ~ spl34_674
| ~ spl34_762
| ~ spl34_992
| ~ spl34_1009 ),
inference(forward_demodulation,[],[f9642,f9291]) ).
fof(f9291,plain,
( u1_lattices(sK25) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_674
| ~ spl34_762
| ~ spl34_992 ),
inference(forward_demodulation,[],[f9290,f5313]) ).
fof(f5313,plain,
( u1_lattices(sK25) = k4_relat_1(k4_relat_1(u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_674 ),
inference(resolution,[],[f5237,f1127]) ).
fof(f1127,plain,
( l1_lattices(sK25)
| ~ spl34_132 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f5237,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) )
| ~ spl34_674 ),
inference(avatar_component_clause,[],[f5236]) ).
fof(f9290,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK25))) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_762
| ~ spl34_992 ),
inference(forward_demodulation,[],[f9283,f6143]) ).
fof(f6143,plain,
( k4_relat_1(u1_lattices(sK25)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25))
| ~ spl34_762 ),
inference(avatar_component_clause,[],[f6141]) ).
fof(f9283,plain,
( k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_992 ),
inference(resolution,[],[f9269,f1127]) ).
fof(f9269,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) )
| ~ spl34_992 ),
inference(avatar_component_clause,[],[f9268]) ).
fof(f9642,plain,
( k4_relat_1(u1_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u1_lattices(sK25))))
| ~ spl34_132
| ~ spl34_762
| ~ spl34_1009 ),
inference(forward_demodulation,[],[f9635,f6143]) ).
fof(f9635,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25)) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25))))
| ~ spl34_132
| ~ spl34_1009 ),
inference(resolution,[],[f9615,f1127]) ).
fof(f9615,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) = k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)))) )
| ~ spl34_1009 ),
inference(avatar_component_clause,[],[f9614]) ).
fof(f13597,plain,
( spl34_1299
| ~ spl34_7
| ~ spl34_674
| ~ spl34_761
| ~ spl34_992
| ~ spl34_1009 ),
inference(avatar_split_clause,[],[f9641,f9614,f9268,f6136,f5236,f562,f13594]) ).
fof(f13594,plain,
( spl34_1299
<=> k4_relat_1(u1_lattices(sK21)) = k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_lattices(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1299])]) ).
fof(f562,plain,
( spl34_7
<=> l1_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_7])]) ).
fof(f6136,plain,
( spl34_761
<=> k4_relat_1(u1_lattices(sK21)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_761])]) ).
fof(f9641,plain,
( k4_relat_1(u1_lattices(sK21)) = k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_lattices(sK21))
| ~ spl34_7
| ~ spl34_674
| ~ spl34_761
| ~ spl34_992
| ~ spl34_1009 ),
inference(forward_demodulation,[],[f9640,f9289]) ).
fof(f9289,plain,
( u1_lattices(sK21) = k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k4_relat_1(u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_674
| ~ spl34_761
| ~ spl34_992 ),
inference(forward_demodulation,[],[f9288,f5312]) ).
fof(f5312,plain,
( u1_lattices(sK21) = k4_relat_1(k4_relat_1(u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_674 ),
inference(resolution,[],[f5237,f564]) ).
fof(f564,plain,
( l1_lattices(sK21)
| ~ spl34_7 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f9288,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK21))) = k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k4_relat_1(u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_761
| ~ spl34_992 ),
inference(forward_demodulation,[],[f9282,f6138]) ).
fof(f6138,plain,
( k4_relat_1(u1_lattices(sK21)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21))
| ~ spl34_761 ),
inference(avatar_component_clause,[],[f6136]) ).
fof(f9282,plain,
( k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_992 ),
inference(resolution,[],[f9269,f564]) ).
fof(f9640,plain,
( k4_relat_1(u1_lattices(sK21)) = k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k4_relat_1(u1_lattices(sK21))))
| ~ spl34_7
| ~ spl34_761
| ~ spl34_1009 ),
inference(forward_demodulation,[],[f9634,f6138]) ).
fof(f9634,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21)) = k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21))))
| ~ spl34_7
| ~ spl34_1009 ),
inference(resolution,[],[f9615,f564]) ).
fof(f13592,plain,
( spl34_1298
| ~ spl34_139
| ~ spl34_673
| ~ spl34_768
| ~ spl34_993 ),
inference(avatar_split_clause,[],[f9312,f9272,f6171,f5232,f1164,f13589]) ).
fof(f13589,plain,
( spl34_1298
<=> u2_lattices(sK25) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u2_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1298])]) ).
fof(f13587,plain,
( spl34_1297
| ~ spl34_8
| ~ spl34_673
| ~ spl34_767
| ~ spl34_993 ),
inference(avatar_split_clause,[],[f9310,f9272,f6166,f5232,f567,f13584]) ).
fof(f13584,plain,
( spl34_1297
<=> u2_lattices(sK22) = k6_relset_1(u1_struct_0(sK22),k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),k4_relat_1(u2_lattices(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1297])]) ).
fof(f13582,plain,
( spl34_1296
| ~ spl34_132
| ~ spl34_674
| ~ spl34_762
| ~ spl34_992 ),
inference(avatar_split_clause,[],[f9291,f9268,f6141,f5236,f1125,f13579]) ).
fof(f13579,plain,
( spl34_1296
<=> u1_lattices(sK25) = k6_relset_1(u1_struct_0(sK25),k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),k4_relat_1(u1_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1296])]) ).
fof(f13577,plain,
( spl34_1295
| ~ spl34_7
| ~ spl34_674
| ~ spl34_761
| ~ spl34_992 ),
inference(avatar_split_clause,[],[f9289,f9268,f6136,f5236,f562,f13574]) ).
fof(f13574,plain,
( spl34_1295
<=> u1_lattices(sK21) = k6_relset_1(u1_struct_0(sK21),k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),k4_relat_1(u1_lattices(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1295])]) ).
fof(f13572,plain,
( spl34_1294
| ~ spl34_260
| ~ spl34_797 ),
inference(avatar_split_clause,[],[f6612,f6483,f1908,f13570]) ).
fof(f13570,plain,
( spl34_1294
<=> ! [X0] :
( v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK12(sK7(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1294])]) ).
fof(f1908,plain,
( spl34_260
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_260])]) ).
fof(f6483,plain,
( spl34_797
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(sK7(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_797])]) ).
fof(f6612,plain,
( ! [X0] :
( v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK12(sK7(k1_zfmisc_1(X0)))) )
| ~ spl34_260
| ~ spl34_797 ),
inference(resolution,[],[f6484,f1909]) ).
fof(f1909,plain,
( ! [X0] :
( r2_hidden(sK12(X0),X0)
| v1_xboole_0(X0) )
| ~ spl34_260 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f6484,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK12(sK7(k1_zfmisc_1(X0))))
| v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl34_797 ),
inference(avatar_component_clause,[],[f6483]) ).
fof(f13560,plain,
( ~ spl34_622
| spl34_1293
| ~ spl34_400
| ~ spl34_772 ),
inference(avatar_split_clause,[],[f6357,f6191,f2856,f13557,f4435]) ).
fof(f4435,plain,
( spl34_622
<=> m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_622])]) ).
fof(f13557,plain,
( spl34_1293
<=> v1_relat_1(k4_relat_1(u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1293])]) ).
fof(f2856,plain,
( spl34_400
<=> ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_400])]) ).
fof(f6191,plain,
( spl34_772
<=> k4_relat_1(u2_lattices(sK33)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_772])]) ).
fof(f6357,plain,
( v1_relat_1(k4_relat_1(u2_lattices(sK33)))
| ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_400
| ~ spl34_772 ),
inference(superposition,[],[f2857,f6193]) ).
fof(f6193,plain,
( k4_relat_1(u2_lattices(sK33)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))
| ~ spl34_772 ),
inference(avatar_component_clause,[],[f6191]) ).
fof(f2857,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_400 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f13555,plain,
( spl34_1292
| ~ spl34_55
| ~ spl34_1145 ),
inference(avatar_split_clause,[],[f13432,f11633,f795,f13552]) ).
fof(f13552,plain,
( spl34_1292
<=> l2_lattices(k11_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1292])]) ).
fof(f795,plain,
( spl34_55
<=> ! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_55])]) ).
fof(f11633,plain,
( spl34_1145
<=> l3_lattices(k11_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1145])]) ).
fof(f13432,plain,
( l2_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_55
| ~ spl34_1145 ),
inference(resolution,[],[f11634,f796]) ).
fof(f796,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) )
| ~ spl34_55 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f11634,plain,
( l3_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_1145 ),
inference(avatar_component_clause,[],[f11633]) ).
fof(f13542,plain,
( ~ spl34_601
| spl34_1291
| ~ spl34_400
| ~ spl34_769 ),
inference(avatar_split_clause,[],[f6339,f6176,f2856,f13539,f4331]) ).
fof(f4331,plain,
( spl34_601
<=> m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_601])]) ).
fof(f13539,plain,
( spl34_1291
<=> v1_relat_1(k4_relat_1(u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1291])]) ).
fof(f6176,plain,
( spl34_769
<=> k4_relat_1(u2_lattices(sK30)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_769])]) ).
fof(f6339,plain,
( v1_relat_1(k4_relat_1(u2_lattices(sK30)))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_400
| ~ spl34_769 ),
inference(superposition,[],[f2857,f6178]) ).
fof(f6178,plain,
( k4_relat_1(u2_lattices(sK30)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))
| ~ spl34_769 ),
inference(avatar_component_clause,[],[f6176]) ).
fof(f13529,plain,
( ~ spl34_625
| spl34_1290
| ~ spl34_400
| ~ spl34_766 ),
inference(avatar_split_clause,[],[f6321,f6161,f2856,f13526,f4447]) ).
fof(f4447,plain,
( spl34_625
<=> m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_625])]) ).
fof(f13526,plain,
( spl34_1290
<=> v1_relat_1(k4_relat_1(u1_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1290])]) ).
fof(f6161,plain,
( spl34_766
<=> k4_relat_1(u1_lattices(sK33)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_766])]) ).
fof(f6321,plain,
( v1_relat_1(k4_relat_1(u1_lattices(sK33)))
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_400
| ~ spl34_766 ),
inference(superposition,[],[f2857,f6163]) ).
fof(f6163,plain,
( k4_relat_1(u1_lattices(sK33)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))
| ~ spl34_766 ),
inference(avatar_component_clause,[],[f6161]) ).
fof(f13516,plain,
( ~ spl34_604
| spl34_1289
| ~ spl34_400
| ~ spl34_763 ),
inference(avatar_split_clause,[],[f6303,f6146,f2856,f13513,f4343]) ).
fof(f4343,plain,
( spl34_604
<=> m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_604])]) ).
fof(f13513,plain,
( spl34_1289
<=> v1_relat_1(k4_relat_1(u1_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1289])]) ).
fof(f6146,plain,
( spl34_763
<=> k4_relat_1(u1_lattices(sK30)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_763])]) ).
fof(f6303,plain,
( v1_relat_1(k4_relat_1(u1_lattices(sK30)))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_400
| ~ spl34_763 ),
inference(superposition,[],[f2857,f6148]) ).
fof(f6148,plain,
( k4_relat_1(u1_lattices(sK30)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))
| ~ spl34_763 ),
inference(avatar_component_clause,[],[f6146]) ).
fof(f13511,plain,
( spl34_1288
| ~ spl34_251
| ~ spl34_743 ),
inference(avatar_split_clause,[],[f6004,f5797,f1822,f13509]) ).
fof(f13509,plain,
( spl34_1288
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X2,X1))
| sK26 = k6_relset_1(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1288])]) ).
fof(f1822,plain,
( spl34_251
<=> ! [X0] :
( sK26 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_251])]) ).
fof(f5797,plain,
( spl34_743
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(X2,X1,X0)
| v1_xboole_0(k6_relset_1(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_743])]) ).
fof(f6004,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X2,X1))
| sK26 = k6_relset_1(X1,X2,X0) )
| ~ spl34_251
| ~ spl34_743 ),
inference(resolution,[],[f5798,f1823]) ).
fof(f1823,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK26 = X0 )
| ~ spl34_251 ),
inference(avatar_component_clause,[],[f1822]) ).
fof(f5798,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k6_relset_1(X1,X0,X2))
| ~ m1_relset_1(X2,X1,X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_743 ),
inference(avatar_component_clause,[],[f5797]) ).
fof(f13507,plain,
( spl34_1287
| ~ spl34_316
| ~ spl34_698 ),
inference(avatar_split_clause,[],[f5462,f5404,f2276,f13505]) ).
fof(f13505,plain,
( spl34_1287
<=> ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK33))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1287])]) ).
fof(f5404,plain,
( spl34_698
<=> m2_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_698])]) ).
fof(f5462,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK33))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))) )
| ~ spl34_316
| ~ spl34_698 ),
inference(resolution,[],[f5406,f2277]) ).
fof(f5406,plain,
( m2_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_698 ),
inference(avatar_component_clause,[],[f5404]) ).
fof(f13503,plain,
( spl34_1286
| ~ spl34_316
| ~ spl34_697 ),
inference(avatar_split_clause,[],[f5458,f5399,f2276,f13501]) ).
fof(f13501,plain,
( spl34_1286
<=> ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK33))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1286])]) ).
fof(f5399,plain,
( spl34_697
<=> m2_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_697])]) ).
fof(f5458,plain,
( ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK33))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))) )
| ~ spl34_316
| ~ spl34_697 ),
inference(resolution,[],[f5401,f2277]) ).
fof(f5401,plain,
( m2_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_697 ),
inference(avatar_component_clause,[],[f5399]) ).
fof(f13499,plain,
( spl34_1285
| ~ spl34_316
| ~ spl34_696 ),
inference(avatar_split_clause,[],[f5454,f5394,f2276,f13497]) ).
fof(f13497,plain,
( spl34_1285
<=> ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK32))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1285])]) ).
fof(f5394,plain,
( spl34_696
<=> m2_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_696])]) ).
fof(f5454,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK32))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))) )
| ~ spl34_316
| ~ spl34_696 ),
inference(resolution,[],[f5396,f2277]) ).
fof(f5396,plain,
( m2_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_696 ),
inference(avatar_component_clause,[],[f5394]) ).
fof(f13495,plain,
( spl34_1284
| ~ spl34_54
| ~ spl34_1145 ),
inference(avatar_split_clause,[],[f13431,f11633,f791,f13492]) ).
fof(f791,plain,
( spl34_54
<=> ! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_54])]) ).
fof(f13431,plain,
( l1_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_54
| ~ spl34_1145 ),
inference(resolution,[],[f11634,f792]) ).
fof(f792,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) )
| ~ spl34_54 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f13490,plain,
( spl34_1283
| ~ spl34_316
| ~ spl34_695 ),
inference(avatar_split_clause,[],[f5450,f5389,f2276,f13488]) ).
fof(f13488,plain,
( spl34_1283
<=> ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK32))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1283])]) ).
fof(f5389,plain,
( spl34_695
<=> m2_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_695])]) ).
fof(f5450,plain,
( ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK32))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))) )
| ~ spl34_316
| ~ spl34_695 ),
inference(resolution,[],[f5391,f2277]) ).
fof(f5391,plain,
( m2_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_695 ),
inference(avatar_component_clause,[],[f5389]) ).
fof(f13486,plain,
( spl34_1282
| ~ spl34_316
| ~ spl34_694 ),
inference(avatar_split_clause,[],[f5446,f5384,f2276,f13484]) ).
fof(f13484,plain,
( spl34_1282
<=> ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK31))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1282])]) ).
fof(f5384,plain,
( spl34_694
<=> m2_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_694])]) ).
fof(f5446,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK31))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))) )
| ~ spl34_316
| ~ spl34_694 ),
inference(resolution,[],[f5386,f2277]) ).
fof(f5386,plain,
( m2_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_694 ),
inference(avatar_component_clause,[],[f5384]) ).
fof(f13482,plain,
( spl34_1281
| ~ spl34_316
| ~ spl34_693 ),
inference(avatar_split_clause,[],[f5442,f5379,f2276,f13480]) ).
fof(f13480,plain,
( spl34_1281
<=> ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK31))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1281])]) ).
fof(f5379,plain,
( spl34_693
<=> m2_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_693])]) ).
fof(f5442,plain,
( ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK31))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))) )
| ~ spl34_316
| ~ spl34_693 ),
inference(resolution,[],[f5381,f2277]) ).
fof(f5381,plain,
( m2_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_693 ),
inference(avatar_component_clause,[],[f5379]) ).
fof(f13478,plain,
( spl34_1280
| ~ spl34_316
| ~ spl34_692 ),
inference(avatar_split_clause,[],[f5438,f5374,f2276,f13476]) ).
fof(f13476,plain,
( spl34_1280
<=> ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK30))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1280])]) ).
fof(f5374,plain,
( spl34_692
<=> m2_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_692])]) ).
fof(f5438,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_lattices(sK30))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))) )
| ~ spl34_316
| ~ spl34_692 ),
inference(resolution,[],[f5376,f2277]) ).
fof(f5376,plain,
( m2_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_692 ),
inference(avatar_component_clause,[],[f5374]) ).
fof(f13474,plain,
( spl34_1279
| ~ spl34_316
| ~ spl34_691 ),
inference(avatar_split_clause,[],[f5434,f5369,f2276,f13472]) ).
fof(f13472,plain,
( spl34_1279
<=> ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK30))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1279])]) ).
fof(f5369,plain,
( spl34_691
<=> m2_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_691])]) ).
fof(f5434,plain,
( ! [X0] :
( ~ r2_hidden(X0,u2_lattices(sK30))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))) )
| ~ spl34_316
| ~ spl34_691 ),
inference(resolution,[],[f5371,f2277]) ).
fof(f5371,plain,
( m2_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_691 ),
inference(avatar_component_clause,[],[f5369]) ).
fof(f13419,plain,
( spl34_392
| ~ spl34_374
| ~ spl34_164
| spl34_1145 ),
inference(avatar_split_clause,[],[f11657,f11633,f1280,f2696,f2815]) ).
fof(f2815,plain,
( spl34_392
<=> v3_conlat_1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_392])]) ).
fof(f2696,plain,
( spl34_374
<=> l2_conlat_1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_374])]) ).
fof(f1280,plain,
( spl34_164
<=> ! [X0] :
( l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_164])]) ).
fof(f11657,plain,
( ~ l2_conlat_1(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_164
| spl34_1145 ),
inference(resolution,[],[f11635,f1281]) ).
fof(f1281,plain,
( ! [X0] :
( l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f11635,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| spl34_1145 ),
inference(avatar_component_clause,[],[f11633]) ).
fof(f13046,plain,
( spl34_1277
| ~ spl34_1278
| ~ spl34_524
| ~ spl34_979 ),
inference(avatar_split_clause,[],[f9051,f9027,f3659,f13043,f13039]) ).
fof(f13039,plain,
( spl34_1277
<=> u1_conlat_1(sK29) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1277])]) ).
fof(f13043,plain,
( spl34_1278
<=> sK29 = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1278])]) ).
fof(f3659,plain,
( spl34_524
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u1_conlat_1(sK29) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_524])]) ).
fof(f9051,plain,
( sK29 != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28)))
| u1_conlat_1(sK29) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28)))
| ~ spl34_524
| ~ spl34_979 ),
inference(superposition,[],[f3660,f9029]) ).
fof(f3660,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u1_conlat_1(sK29) = X0 )
| ~ spl34_524 ),
inference(avatar_component_clause,[],[f3659]) ).
fof(f13037,plain,
( spl34_1276
| ~ spl34_53
| ~ spl34_1140 ),
inference(avatar_split_clause,[],[f11519,f11515,f787,f13034]) ).
fof(f13034,plain,
( spl34_1276
<=> l1_conlat_1(k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1276])]) ).
fof(f787,plain,
( spl34_53
<=> ! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_53])]) ).
fof(f11515,plain,
( spl34_1140
<=> l2_conlat_1(k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1140])]) ).
fof(f11519,plain,
( l1_conlat_1(k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_53
| ~ spl34_1140 ),
inference(resolution,[],[f11517,f788]) ).
fof(f788,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| l1_conlat_1(X0) )
| ~ spl34_53 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f11517,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_1140 ),
inference(avatar_component_clause,[],[f11515]) ).
fof(f13032,plain,
( spl34_1274
| ~ spl34_1275
| ~ spl34_522
| ~ spl34_979 ),
inference(avatar_split_clause,[],[f9050,f9027,f3650,f13029,f13025]) ).
fof(f13025,plain,
( spl34_1274
<=> u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1274])]) ).
fof(f13029,plain,
( spl34_1275
<=> sK28 = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1275])]) ).
fof(f3650,plain,
( spl34_522
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u1_conlat_1(sK28) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_522])]) ).
fof(f9050,plain,
( sK28 != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28)))
| u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28)))
| ~ spl34_522
| ~ spl34_979 ),
inference(superposition,[],[f3651,f9029]) ).
fof(f3651,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u1_conlat_1(sK28) = X0 )
| ~ spl34_522 ),
inference(avatar_component_clause,[],[f3650]) ).
fof(f13023,plain,
( spl34_1273
| ~ spl34_320
| ~ spl34_871 ),
inference(avatar_split_clause,[],[f7886,f7566,f2292,f13021]) ).
fof(f13021,plain,
( spl34_1273
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1273])]) ).
fof(f2292,plain,
( spl34_320
<=> ! [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,[spl34_320])]) ).
fof(f7566,plain,
( spl34_871
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_871])]) ).
fof(f7886,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_871 ),
inference(duplicate_literal_removal,[],[f7881]) ).
fof(f7881,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_871 ),
inference(resolution,[],[f7567,f2293]) ).
fof(f2293,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) )
| ~ spl34_320 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f7567,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_871 ),
inference(avatar_component_clause,[],[f7566]) ).
fof(f13019,plain,
( spl34_1272
| ~ spl34_321
| ~ spl34_870 ),
inference(avatar_split_clause,[],[f7880,f7562,f2296,f13017]) ).
fof(f13017,plain,
( spl34_1272
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1272])]) ).
fof(f2296,plain,
( spl34_321
<=> ! [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,[spl34_321])]) ).
fof(f7562,plain,
( spl34_870
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_870])]) ).
fof(f7880,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_870 ),
inference(duplicate_literal_removal,[],[f7875]) ).
fof(f7875,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_870 ),
inference(resolution,[],[f7563,f2297]) ).
fof(f2297,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) )
| ~ spl34_321 ),
inference(avatar_component_clause,[],[f2296]) ).
fof(f7563,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_870 ),
inference(avatar_component_clause,[],[f7562]) ).
fof(f13015,plain,
( spl34_1271
| ~ spl34_320
| ~ spl34_869 ),
inference(avatar_split_clause,[],[f7874,f7558,f2292,f13013]) ).
fof(f13013,plain,
( spl34_1271
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1271])]) ).
fof(f7558,plain,
( spl34_869
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_869])]) ).
fof(f7874,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_869 ),
inference(duplicate_literal_removal,[],[f7869]) ).
fof(f7869,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_869 ),
inference(resolution,[],[f7559,f2293]) ).
fof(f7559,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_869 ),
inference(avatar_component_clause,[],[f7558]) ).
fof(f13011,plain,
( spl34_1270
| ~ spl34_321
| ~ spl34_867 ),
inference(avatar_split_clause,[],[f7868,f7548,f2296,f13009]) ).
fof(f13009,plain,
( spl34_1270
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1270])]) ).
fof(f7548,plain,
( spl34_867
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_867])]) ).
fof(f7868,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_867 ),
inference(duplicate_literal_removal,[],[f7863]) ).
fof(f7863,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_867 ),
inference(resolution,[],[f7549,f2297]) ).
fof(f7549,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_867 ),
inference(avatar_component_clause,[],[f7548]) ).
fof(f13007,plain,
( spl34_1269
| ~ spl34_798 ),
inference(avatar_split_clause,[],[f6673,f6487,f13005]) ).
fof(f13005,plain,
( spl34_1269
<=> ! [X0] :
( v1_xboole_0(X0)
| sK7(k2_zfmisc_1(X0,X0)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1269])]) ).
fof(f6487,plain,
( spl34_798
<=> ! [X0,X1] :
( sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_798])]) ).
fof(f6673,plain,
( ! [X0] :
( v1_xboole_0(X0)
| sK7(k2_zfmisc_1(X0,X0)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X0)))) )
| ~ spl34_798 ),
inference(factoring,[],[f6488]) ).
fof(f6488,plain,
( ! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) )
| ~ spl34_798 ),
inference(avatar_component_clause,[],[f6487]) ).
fof(f13003,plain,
( spl34_1268
| spl34_5
| ~ spl34_798 ),
inference(avatar_split_clause,[],[f6672,f6487,f552,f13001]) ).
fof(f13001,plain,
( spl34_1268
<=> ! [X0] :
( v1_xboole_0(X0)
| sK7(k2_zfmisc_1(sK19,X0)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(sK19,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1268])]) ).
fof(f552,plain,
( spl34_5
<=> v1_xboole_0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f6672,plain,
( ! [X0] :
( v1_xboole_0(X0)
| sK7(k2_zfmisc_1(sK19,X0)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(sK19,X0)))) )
| spl34_5
| ~ spl34_798 ),
inference(resolution,[],[f6488,f554]) ).
fof(f554,plain,
( ~ v1_xboole_0(sK19)
| spl34_5 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f12999,plain,
( spl34_1267
| spl34_5
| ~ spl34_798 ),
inference(avatar_split_clause,[],[f6643,f6487,f552,f12997]) ).
fof(f12997,plain,
( spl34_1267
<=> ! [X0] :
( v1_xboole_0(X0)
| sK7(k2_zfmisc_1(X0,sK19)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,sK19)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1267])]) ).
fof(f6643,plain,
( ! [X0] :
( v1_xboole_0(X0)
| sK7(k2_zfmisc_1(X0,sK19)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,sK19)))) )
| spl34_5
| ~ spl34_798 ),
inference(resolution,[],[f6488,f554]) ).
fof(f12995,plain,
( spl34_1266
| ~ spl34_260
| ~ spl34_759 ),
inference(avatar_split_clause,[],[f6284,f6128,f1908,f12993]) ).
fof(f12993,plain,
( spl34_1266
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1266])]) ).
fof(f6128,plain,
( spl34_759
<=> ! [X0,X1] :
( v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_759])]) ).
fof(f6284,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl34_260
| ~ spl34_759 ),
inference(resolution,[],[f6129,f1909]) ).
fof(f6129,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0)))) )
| ~ spl34_759 ),
inference(avatar_component_clause,[],[f6128]) ).
fof(f12991,plain,
( spl34_1265
| ~ spl34_199
| ~ spl34_727 ),
inference(avatar_split_clause,[],[f5694,f5587,f1506,f12989]) ).
fof(f12989,plain,
( spl34_1265
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK18(X1,X0)),X1,X0)
| ~ m1_relset_1(sK18(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1265])]) ).
fof(f5587,plain,
( spl34_727
<=> ! [X0,X1] : k4_relat_1(sK18(X0,X1)) = k6_relset_1(X1,X0,sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_727])]) ).
fof(f5694,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK18(X1,X0)),X1,X0)
| ~ m1_relset_1(sK18(X1,X0),X0,X1) )
| ~ spl34_199
| ~ spl34_727 ),
inference(superposition,[],[f1507,f5588]) ).
fof(f5588,plain,
( ! [X0,X1] : k4_relat_1(sK18(X0,X1)) = k6_relset_1(X1,X0,sK18(X0,X1))
| ~ spl34_727 ),
inference(avatar_component_clause,[],[f5587]) ).
fof(f12987,plain,
( spl34_1264
| ~ spl34_304
| ~ spl34_727 ),
inference(avatar_split_clause,[],[f5693,f5587,f2142,f12985]) ).
fof(f12985,plain,
( spl34_1264
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK18(X1,X0)),X1,X0)
| ~ m1_relset_1(sK18(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1264])]) ).
fof(f5693,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK18(X1,X0)),X1,X0)
| ~ m1_relset_1(sK18(X1,X0),X0,X1) )
| ~ spl34_304
| ~ spl34_727 ),
inference(superposition,[],[f2143,f5588]) ).
fof(f12983,plain,
( spl34_1263
| ~ spl34_199
| ~ spl34_726 ),
inference(avatar_split_clause,[],[f5689,f5583,f1506,f12981]) ).
fof(f12981,plain,
( spl34_1263
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK17(X1,X0)),X1,X0)
| ~ m1_relset_1(sK17(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1263])]) ).
fof(f5583,plain,
( spl34_726
<=> ! [X0,X1] : k4_relat_1(sK17(X0,X1)) = k6_relset_1(X1,X0,sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_726])]) ).
fof(f5689,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK17(X1,X0)),X1,X0)
| ~ m1_relset_1(sK17(X1,X0),X0,X1) )
| ~ spl34_199
| ~ spl34_726 ),
inference(superposition,[],[f1507,f5584]) ).
fof(f5584,plain,
( ! [X0,X1] : k4_relat_1(sK17(X0,X1)) = k6_relset_1(X1,X0,sK17(X0,X1))
| ~ spl34_726 ),
inference(avatar_component_clause,[],[f5583]) ).
fof(f12979,plain,
( spl34_1262
| ~ spl34_304
| ~ spl34_726 ),
inference(avatar_split_clause,[],[f5688,f5583,f2142,f12977]) ).
fof(f12977,plain,
( spl34_1262
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK17(X1,X0)),X1,X0)
| ~ m1_relset_1(sK17(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1262])]) ).
fof(f5688,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK17(X1,X0)),X1,X0)
| ~ m1_relset_1(sK17(X1,X0),X0,X1) )
| ~ spl34_304
| ~ spl34_726 ),
inference(superposition,[],[f2143,f5584]) ).
fof(f12975,plain,
( spl34_1261
| ~ spl34_199
| ~ spl34_725 ),
inference(avatar_split_clause,[],[f5684,f5579,f1506,f12973]) ).
fof(f12973,plain,
( spl34_1261
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK16(X1,X0)),X1,X0)
| ~ m1_relset_1(sK16(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1261])]) ).
fof(f5579,plain,
( spl34_725
<=> ! [X0,X1] : k4_relat_1(sK16(X0,X1)) = k6_relset_1(X1,X0,sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_725])]) ).
fof(f5684,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK16(X1,X0)),X1,X0)
| ~ m1_relset_1(sK16(X1,X0),X0,X1) )
| ~ spl34_199
| ~ spl34_725 ),
inference(superposition,[],[f1507,f5580]) ).
fof(f5580,plain,
( ! [X0,X1] : k4_relat_1(sK16(X0,X1)) = k6_relset_1(X1,X0,sK16(X0,X1))
| ~ spl34_725 ),
inference(avatar_component_clause,[],[f5579]) ).
fof(f12971,plain,
( spl34_1260
| ~ spl34_304
| ~ spl34_725 ),
inference(avatar_split_clause,[],[f5683,f5579,f2142,f12969]) ).
fof(f12969,plain,
( spl34_1260
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK16(X1,X0)),X1,X0)
| ~ m1_relset_1(sK16(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1260])]) ).
fof(f5683,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK16(X1,X0)),X1,X0)
| ~ m1_relset_1(sK16(X1,X0),X0,X1) )
| ~ spl34_304
| ~ spl34_725 ),
inference(superposition,[],[f2143,f5580]) ).
fof(f12967,plain,
( spl34_1259
| ~ spl34_199
| ~ spl34_724 ),
inference(avatar_split_clause,[],[f5679,f5575,f1506,f12965]) ).
fof(f12965,plain,
( spl34_1259
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK15(X1,X0)),X1,X0)
| ~ m1_relset_1(sK15(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1259])]) ).
fof(f5575,plain,
( spl34_724
<=> ! [X0,X1] : k4_relat_1(sK15(X0,X1)) = k6_relset_1(X1,X0,sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_724])]) ).
fof(f5679,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK15(X1,X0)),X1,X0)
| ~ m1_relset_1(sK15(X1,X0),X0,X1) )
| ~ spl34_199
| ~ spl34_724 ),
inference(superposition,[],[f1507,f5576]) ).
fof(f5576,plain,
( ! [X0,X1] : k4_relat_1(sK15(X0,X1)) = k6_relset_1(X1,X0,sK15(X0,X1))
| ~ spl34_724 ),
inference(avatar_component_clause,[],[f5575]) ).
fof(f12963,plain,
( spl34_1258
| ~ spl34_304
| ~ spl34_724 ),
inference(avatar_split_clause,[],[f5678,f5575,f2142,f12961]) ).
fof(f12961,plain,
( spl34_1258
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK15(X1,X0)),X1,X0)
| ~ m1_relset_1(sK15(X1,X0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1258])]) ).
fof(f5678,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK15(X1,X0)),X1,X0)
| ~ m1_relset_1(sK15(X1,X0),X0,X1) )
| ~ spl34_304
| ~ spl34_724 ),
inference(superposition,[],[f2143,f5576]) ).
fof(f12959,plain,
( spl34_1257
| ~ spl34_250
| ~ spl34_704 ),
inference(avatar_split_clause,[],[f5599,f5488,f1818,f12957]) ).
fof(f12957,plain,
( spl34_1257
<=> ! [X0] :
( k4_relat_1(u1_lattices(k1_lattice2(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0)))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1257])]) ).
fof(f5599,plain,
( ! [X0] :
( k4_relat_1(u1_lattices(k1_lattice2(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0)))))
| ~ l3_lattices(X0) )
| ~ spl34_250
| ~ spl34_704 ),
inference(resolution,[],[f5489,f1819]) ).
fof(f12955,plain,
( spl34_1256
| ~ spl34_51
| ~ spl34_1231 ),
inference(avatar_split_clause,[],[f12743,f12594,f779,f12952]) ).
fof(f12952,plain,
( spl34_1256
<=> l1_struct_0(k1_lattice2(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1256])]) ).
fof(f12594,plain,
( spl34_1231
<=> l1_lattices(k1_lattice2(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1231])]) ).
fof(f12743,plain,
( l1_struct_0(k1_lattice2(k11_conlat_1(sK6)))
| ~ spl34_51
| ~ spl34_1231 ),
inference(resolution,[],[f12596,f780]) ).
fof(f12596,plain,
( l1_lattices(k1_lattice2(k11_conlat_1(sK6)))
| ~ spl34_1231 ),
inference(avatar_component_clause,[],[f12594]) ).
fof(f12950,plain,
( spl34_1255
| ~ spl34_249
| ~ spl34_703 ),
inference(avatar_split_clause,[],[f5591,f5484,f1814,f12948]) ).
fof(f12948,plain,
( spl34_1255
<=> ! [X0] :
( k4_relat_1(u2_lattices(k1_lattice2(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0)))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1255])]) ).
fof(f5591,plain,
( ! [X0] :
( k4_relat_1(u2_lattices(k1_lattice2(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0)))))
| ~ l3_lattices(X0) )
| ~ spl34_249
| ~ spl34_703 ),
inference(resolution,[],[f5485,f1815]) ).
fof(f12939,plain,
( spl34_1253
| ~ spl34_1254
| ~ spl34_300
| ~ spl34_697 ),
inference(avatar_split_clause,[],[f5459,f5399,f2126,f12936,f12933]) ).
fof(f12933,plain,
( spl34_1253
<=> ! [X0] : ~ r2_hidden(X0,u2_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1253])]) ).
fof(f12936,plain,
( spl34_1254
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1254])]) ).
fof(f5459,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)))
| ~ r2_hidden(X0,u2_lattices(sK33)) )
| ~ spl34_300
| ~ spl34_697 ),
inference(resolution,[],[f5401,f2127]) ).
fof(f12924,plain,
( spl34_1251
| ~ spl34_1252
| ~ spl34_300
| ~ spl34_695 ),
inference(avatar_split_clause,[],[f5451,f5389,f2126,f12921,f12918]) ).
fof(f12918,plain,
( spl34_1251
<=> ! [X0] : ~ r2_hidden(X0,u2_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1251])]) ).
fof(f12921,plain,
( spl34_1252
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1252])]) ).
fof(f5451,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)))
| ~ r2_hidden(X0,u2_lattices(sK32)) )
| ~ spl34_300
| ~ spl34_695 ),
inference(resolution,[],[f5391,f2127]) ).
fof(f12909,plain,
( spl34_1249
| ~ spl34_1250
| ~ spl34_300
| ~ spl34_693 ),
inference(avatar_split_clause,[],[f5443,f5379,f2126,f12906,f12903]) ).
fof(f12903,plain,
( spl34_1249
<=> ! [X0] : ~ r2_hidden(X0,u2_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1249])]) ).
fof(f12906,plain,
( spl34_1250
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1250])]) ).
fof(f5443,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)))
| ~ r2_hidden(X0,u2_lattices(sK31)) )
| ~ spl34_300
| ~ spl34_693 ),
inference(resolution,[],[f5381,f2127]) ).
fof(f12894,plain,
( spl34_1247
| ~ spl34_1248
| ~ spl34_300
| ~ spl34_691 ),
inference(avatar_split_clause,[],[f5435,f5369,f2126,f12891,f12888]) ).
fof(f12888,plain,
( spl34_1247
<=> ! [X0] : ~ r2_hidden(X0,u2_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1247])]) ).
fof(f12891,plain,
( spl34_1248
<=> v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1248])]) ).
fof(f5435,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)))
| ~ r2_hidden(X0,u2_lattices(sK30)) )
| ~ spl34_300
| ~ spl34_691 ),
inference(resolution,[],[f5371,f2127]) ).
fof(f12886,plain,
( spl34_1246
| ~ spl34_161
| ~ spl34_675 ),
inference(avatar_split_clause,[],[f5318,f5245,f1268,f12884]) ).
fof(f12884,plain,
( spl34_1246
<=> ! [X0] :
( u3_conlat_1(k7_conlat_2(X0)) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1246])]) ).
fof(f5245,plain,
( spl34_675
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| u3_conlat_1(X0) = k4_relat_1(k4_relat_1(u3_conlat_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_675])]) ).
fof(f5318,plain,
( ! [X0] :
( u3_conlat_1(k7_conlat_2(X0)) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_675 ),
inference(resolution,[],[f5246,f1269]) ).
fof(f5246,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| u3_conlat_1(X0) = k4_relat_1(k4_relat_1(u3_conlat_1(X0))) )
| ~ spl34_675 ),
inference(avatar_component_clause,[],[f5245]) ).
fof(f12867,plain,
( spl34_1245
| ~ spl34_271
| ~ spl34_674 ),
inference(avatar_split_clause,[],[f5310,f5236,f1974,f12865]) ).
fof(f12865,plain,
( spl34_1245
<=> ! [X0] :
( u1_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1245])]) ).
fof(f5310,plain,
( ! [X0] :
( u1_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_271
| ~ spl34_674 ),
inference(resolution,[],[f5237,f1975]) ).
fof(f12863,plain,
( spl34_1244
| ~ spl34_270
| ~ spl34_673 ),
inference(avatar_split_clause,[],[f5302,f5232,f1970,f12861]) ).
fof(f12861,plain,
( spl34_1244
<=> ! [X0] :
( u2_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1244])]) ).
fof(f5302,plain,
( ! [X0] :
( u2_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_270
| ~ spl34_673 ),
inference(resolution,[],[f5233,f1971]) ).
fof(f12857,plain,
( spl34_1243
| ~ spl34_50
| ~ spl34_760 ),
inference(avatar_split_clause,[],[f6287,f6132,f775,f12855]) ).
fof(f12855,plain,
( spl34_1243
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1243])]) ).
fof(f775,plain,
( spl34_50
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_50])]) ).
fof(f6132,plain,
( spl34_760
<=> ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_760])]) ).
fof(f6287,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0) )
| ~ spl34_50
| ~ spl34_760 ),
inference(resolution,[],[f6133,f776]) ).
fof(f776,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl34_50 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f6133,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) )
| ~ spl34_760 ),
inference(avatar_component_clause,[],[f6132]) ).
fof(f12853,plain,
( spl34_1242
| ~ spl34_144
| ~ spl34_728 ),
inference(avatar_split_clause,[],[f5729,f5696,f1186,f12851]) ).
fof(f12851,plain,
( spl34_1242
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| ~ r2_hidden(X0,sK12(sK12(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1242])]) ).
fof(f1186,plain,
( spl34_144
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_144])]) ).
fof(f5696,plain,
( spl34_728
<=> ! [X0] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK12(sK12(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_728])]) ).
fof(f5729,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| ~ r2_hidden(X0,sK12(sK12(k1_zfmisc_1(X0)))) )
| ~ spl34_144
| ~ spl34_728 ),
inference(resolution,[],[f5697,f1187]) ).
fof(f1187,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl34_144 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f5697,plain,
( ! [X0] :
( r2_hidden(sK12(sK12(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0))) )
| ~ spl34_728 ),
inference(avatar_component_clause,[],[f5696]) ).
fof(f12775,plain,
( spl34_1241
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| ~ spl34_1240 ),
inference(avatar_split_clause,[],[f12771,f12766,f11445,f11394,f11268,f4960,f12773]) ).
fof(f12773,plain,
( spl34_1241
<=> ! [X2,X0,X1] :
( k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1241])]) ).
fof(f4960,plain,
( spl34_647
<=> k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_647])]) ).
fof(f11268,plain,
( spl34_1123
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK6) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1123])]) ).
fof(f11394,plain,
( spl34_1131
<=> ! [X2,X0,X1] :
( u3_conlat_1(sK6) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1131])]) ).
fof(f11445,plain,
( spl34_1133
<=> u1_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1133])]) ).
fof(f12766,plain,
( spl34_1240
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1240])]) ).
fof(f12771,plain,
( ! [X2,X0,X1] :
( k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) )
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| ~ spl34_1240 ),
inference(forward_demodulation,[],[f12770,f11447]) ).
fof(f11447,plain,
( u1_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_1133 ),
inference(avatar_component_clause,[],[f11445]) ).
fof(f12770,plain,
( ! [X2,X0,X1] :
( k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) )
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1240 ),
inference(forward_demodulation,[],[f12769,f11297]) ).
fof(f11297,plain,
( u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_647
| ~ spl34_1123 ),
inference(trivial_inequality_removal,[],[f11278]) ).
fof(f11278,plain,
( k7_conlat_2(k7_conlat_2(sK6)) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_647
| ~ spl34_1123 ),
inference(superposition,[],[f11269,f4962]) ).
fof(f4962,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_647 ),
inference(avatar_component_clause,[],[f4960]) ).
fof(f11269,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK6) = X1 )
| ~ spl34_1123 ),
inference(avatar_component_clause,[],[f11268]) ).
fof(f12769,plain,
( ! [X2,X0,X1] :
( k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) )
| ~ spl34_647
| ~ spl34_1131
| ~ spl34_1240 ),
inference(forward_demodulation,[],[f12767,f11424]) ).
fof(f11424,plain,
( u3_conlat_1(sK6) = u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_647
| ~ spl34_1131 ),
inference(trivial_inequality_removal,[],[f11404]) ).
fof(f11404,plain,
( k7_conlat_2(k7_conlat_2(sK6)) != k7_conlat_2(k7_conlat_2(sK6))
| u3_conlat_1(sK6) = u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_647
| ~ spl34_1131 ),
inference(superposition,[],[f11395,f4962]) ).
fof(f11395,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u3_conlat_1(sK6) = X2 )
| ~ spl34_1131 ),
inference(avatar_component_clause,[],[f11394]) ).
fof(f12767,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = X2 )
| ~ spl34_1240 ),
inference(avatar_component_clause,[],[f12766]) ).
fof(f12768,plain,
( ~ spl34_1138
| spl34_1240
| ~ spl34_220
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5169,f5159,f1616,f12766,f11495]) ).
fof(f11495,plain,
( spl34_1138
<=> m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1138])]) ).
fof(f1616,plain,
( spl34_220
<=> ! [X3,X4,X0,X5,X2,X1] :
( X2 = X5
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_220])]) ).
fof(f5159,plain,
( spl34_665
<=> k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_665])]) ).
fof(f5169,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = X2
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) )
| ~ spl34_220
| ~ spl34_665 ),
inference(superposition,[],[f1617,f5161]) ).
fof(f5161,plain,
( k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))))
| ~ spl34_665 ),
inference(avatar_component_clause,[],[f5159]) ).
fof(f1617,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X2 = X5
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f12635,plain,
( spl34_1239
| ~ spl34_55
| ~ spl34_1148 ),
inference(avatar_split_clause,[],[f11938,f11645,f795,f12632]) ).
fof(f12632,plain,
( spl34_1239
<=> l2_lattices(k1_lattice2(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1239])]) ).
fof(f11645,plain,
( spl34_1148
<=> l3_lattices(k1_lattice2(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1148])]) ).
fof(f11938,plain,
( l2_lattices(k1_lattice2(k11_conlat_1(sK6)))
| ~ spl34_55
| ~ spl34_1148 ),
inference(resolution,[],[f11646,f796]) ).
fof(f11646,plain,
( l3_lattices(k1_lattice2(k11_conlat_1(sK6)))
| ~ spl34_1148 ),
inference(avatar_component_clause,[],[f11645]) ).
fof(f12629,plain,
( spl34_1238
| ~ spl34_10
| ~ spl34_675
| ~ spl34_710
| ~ spl34_866
| ~ spl34_946 ),
inference(avatar_split_clause,[],[f8675,f8591,f7542,f5512,f5245,f577,f12626]) ).
fof(f12626,plain,
( spl34_1238
<=> k4_relat_1(u3_conlat_1(sK24)) = k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),u3_conlat_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1238])]) ).
fof(f577,plain,
( spl34_10
<=> l2_conlat_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_10])]) ).
fof(f5512,plain,
( spl34_710
<=> k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24)) = k4_relat_1(u3_conlat_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_710])]) ).
fof(f7542,plain,
( spl34_866
<=> ! [X0] :
( k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) = k4_relat_1(k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_866])]) ).
fof(f8591,plain,
( spl34_946
<=> ! [X0] :
( k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_946])]) ).
fof(f8675,plain,
( k4_relat_1(u3_conlat_1(sK24)) = k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),u3_conlat_1(sK24))
| ~ spl34_10
| ~ spl34_675
| ~ spl34_710
| ~ spl34_866
| ~ spl34_946 ),
inference(forward_demodulation,[],[f8674,f7858]) ).
fof(f7858,plain,
( u3_conlat_1(sK24) = k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k4_relat_1(u3_conlat_1(sK24)))
| ~ spl34_10
| ~ spl34_675
| ~ spl34_710
| ~ spl34_866 ),
inference(forward_demodulation,[],[f7857,f5323]) ).
fof(f5323,plain,
( u3_conlat_1(sK24) = k4_relat_1(k4_relat_1(u3_conlat_1(sK24)))
| ~ spl34_10
| ~ spl34_675 ),
inference(resolution,[],[f5246,f579]) ).
fof(f579,plain,
( l2_conlat_1(sK24)
| ~ spl34_10 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f7857,plain,
( k4_relat_1(k4_relat_1(u3_conlat_1(sK24))) = k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k4_relat_1(u3_conlat_1(sK24)))
| ~ spl34_10
| ~ spl34_710
| ~ spl34_866 ),
inference(forward_demodulation,[],[f7846,f5514]) ).
fof(f5514,plain,
( k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24)) = k4_relat_1(u3_conlat_1(sK24))
| ~ spl34_710 ),
inference(avatar_component_clause,[],[f5512]) ).
fof(f7846,plain,
( k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24))) = k4_relat_1(k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24)))
| ~ spl34_10
| ~ spl34_866 ),
inference(resolution,[],[f7543,f579]) ).
fof(f7543,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) = k4_relat_1(k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) )
| ~ spl34_866 ),
inference(avatar_component_clause,[],[f7542]) ).
fof(f8674,plain,
( k4_relat_1(u3_conlat_1(sK24)) = k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k4_relat_1(u3_conlat_1(sK24))))
| ~ spl34_10
| ~ spl34_710
| ~ spl34_946 ),
inference(forward_demodulation,[],[f8661,f5514]) ).
fof(f8661,plain,
( k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24)) = k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24))))
| ~ spl34_10
| ~ spl34_946 ),
inference(resolution,[],[f8592,f579]) ).
fof(f8592,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))) )
| ~ spl34_946 ),
inference(avatar_component_clause,[],[f8591]) ).
fof(f12624,plain,
( spl34_1237
| ~ spl34_10
| ~ spl34_675
| ~ spl34_710
| ~ spl34_866 ),
inference(avatar_split_clause,[],[f7858,f7542,f5512,f5245,f577,f12621]) ).
fof(f12621,plain,
( spl34_1237
<=> u3_conlat_1(sK24) = k6_relset_1(u2_conlat_1(sK24),u1_conlat_1(sK24),k4_relat_1(u3_conlat_1(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1237])]) ).
fof(f12619,plain,
( spl34_1235
| ~ spl34_1236
| ~ spl34_524
| ~ spl34_852 ),
inference(avatar_split_clause,[],[f7413,f7389,f3659,f12616,f12612]) ).
fof(f12612,plain,
( spl34_1235
<=> u1_conlat_1(sK29) = u2_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1235])]) ).
fof(f12616,plain,
( spl34_1236
<=> sK29 = k7_conlat_2(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1236])]) ).
fof(f7413,plain,
( sK29 != k7_conlat_2(k7_conlat_2(sK28))
| u1_conlat_1(sK29) = u2_conlat_1(k7_conlat_2(sK28))
| ~ spl34_524
| ~ spl34_852 ),
inference(superposition,[],[f3660,f7391]) ).
fof(f12610,plain,
( spl34_1233
| ~ spl34_1234
| ~ spl34_522
| ~ spl34_852 ),
inference(avatar_split_clause,[],[f7412,f7389,f3650,f12607,f12603]) ).
fof(f12607,plain,
( spl34_1234
<=> sK28 = k7_conlat_2(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1234])]) ).
fof(f7412,plain,
( sK28 != k7_conlat_2(k7_conlat_2(sK28))
| u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(sK28))
| ~ spl34_522
| ~ spl34_852 ),
inference(superposition,[],[f3651,f7391]) ).
fof(f12601,plain,
( spl34_1232
| ~ spl34_262
| ~ spl34_835 ),
inference(avatar_split_clause,[],[f6994,f6905,f1916,f12599]) ).
fof(f12599,plain,
( spl34_1232
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,k4_relat_1(sK16(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1232])]) ).
fof(f1916,plain,
( spl34_262
<=> ! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_262])]) ).
fof(f6905,plain,
( spl34_835
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,k4_relat_1(sK16(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(sK16(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_835])]) ).
fof(f6994,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,k4_relat_1(sK16(X2,X1))) )
| ~ spl34_262
| ~ spl34_835 ),
inference(resolution,[],[f6906,f1917]) ).
fof(f1917,plain,
( ! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1)
| ~ spl34_262 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f6906,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK16(X0,X1),X0,X1)
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK16(X0,X1))) )
| ~ spl34_835 ),
inference(avatar_component_clause,[],[f6905]) ).
fof(f12597,plain,
( spl34_1231
| ~ spl34_54
| ~ spl34_1148 ),
inference(avatar_split_clause,[],[f11937,f11645,f791,f12594]) ).
fof(f11937,plain,
( l1_lattices(k1_lattice2(k11_conlat_1(sK6)))
| ~ spl34_54
| ~ spl34_1148 ),
inference(resolution,[],[f11646,f792]) ).
fof(f12592,plain,
( spl34_1230
| ~ spl34_150
| ~ spl34_830 ),
inference(avatar_split_clause,[],[f6984,f6885,f1211,f12590]) ).
fof(f12590,plain,
( spl34_1230
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_relat_1(sK18(X1,X2)))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1230])]) ).
fof(f1211,plain,
( spl34_150
<=> ! [X0,X1] : m1_relset_1(sK18(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_150])]) ).
fof(f6885,plain,
( spl34_830
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK18(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_830])]) ).
fof(f6984,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_relat_1(sK18(X1,X2)))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1)) )
| ~ spl34_150
| ~ spl34_830 ),
inference(resolution,[],[f6886,f1212]) ).
fof(f1212,plain,
( ! [X0,X1] : m1_relset_1(sK18(X0,X1),X0,X1)
| ~ spl34_150 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f6886,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK18(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl34_830 ),
inference(avatar_component_clause,[],[f6885]) ).
fof(f12588,plain,
( spl34_1229
| ~ spl34_148
| ~ spl34_829 ),
inference(avatar_split_clause,[],[f6982,f6881,f1202,f12586]) ).
fof(f12586,plain,
( spl34_1229
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_relat_1(sK17(X1,X2)))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1229])]) ).
fof(f1202,plain,
( spl34_148
<=> ! [X0,X1] : m1_relset_1(sK17(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_148])]) ).
fof(f6881,plain,
( spl34_829
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK17(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_829])]) ).
fof(f6982,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_relat_1(sK17(X1,X2)))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1)) )
| ~ spl34_148
| ~ spl34_829 ),
inference(resolution,[],[f6882,f1203]) ).
fof(f1203,plain,
( ! [X0,X1] : m1_relset_1(sK17(X0,X1),X0,X1)
| ~ spl34_148 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f6882,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK17(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl34_829 ),
inference(avatar_component_clause,[],[f6881]) ).
fof(f12584,plain,
( spl34_1228
| ~ spl34_146
| ~ spl34_828 ),
inference(avatar_split_clause,[],[f6980,f6877,f1194,f12582]) ).
fof(f12582,plain,
( spl34_1228
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_relat_1(sK15(X1,X2)))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1228])]) ).
fof(f1194,plain,
( spl34_146
<=> ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_146])]) ).
fof(f6877,plain,
( spl34_828
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK15(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_828])]) ).
fof(f6980,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k4_relat_1(sK15(X1,X2)))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1)) )
| ~ spl34_146
| ~ spl34_828 ),
inference(resolution,[],[f6878,f1195]) ).
fof(f1195,plain,
( ! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1)
| ~ spl34_146 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f6878,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK15(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl34_828 ),
inference(avatar_component_clause,[],[f6877]) ).
fof(f12580,plain,
( ~ spl34_1226
| spl34_1227
| ~ spl34_400
| ~ spl34_715 ),
inference(avatar_split_clause,[],[f5651,f5537,f2856,f12577,f12573]) ).
fof(f12573,plain,
( spl34_1226
<=> m1_relset_1(k4_relat_1(u3_conlat_1(sK24)),u1_conlat_1(sK24),u2_conlat_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1226])]) ).
fof(f12577,plain,
( spl34_1227
<=> v1_relat_1(u3_conlat_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1227])]) ).
fof(f5537,plain,
( spl34_715
<=> u3_conlat_1(sK24) = k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),k4_relat_1(u3_conlat_1(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_715])]) ).
fof(f5651,plain,
( v1_relat_1(u3_conlat_1(sK24))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK24)),u1_conlat_1(sK24),u2_conlat_1(sK24))
| ~ spl34_400
| ~ spl34_715 ),
inference(superposition,[],[f2857,f5539]) ).
fof(f5539,plain,
( u3_conlat_1(sK24) = k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),k4_relat_1(u3_conlat_1(sK24)))
| ~ spl34_715 ),
inference(avatar_component_clause,[],[f5537]) ).
fof(f12563,plain,
( ~ spl34_523
| spl34_1225
| ~ spl34_400
| ~ spl34_712 ),
inference(avatar_split_clause,[],[f5636,f5522,f2856,f12560,f3655]) ).
fof(f12560,plain,
( spl34_1225
<=> v1_relat_1(k4_relat_1(u3_conlat_1(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1225])]) ).
fof(f5636,plain,
( v1_relat_1(k4_relat_1(u3_conlat_1(sK29)))
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ~ spl34_400
| ~ spl34_712 ),
inference(superposition,[],[f2857,f5524]) ).
fof(f12550,plain,
( ~ spl34_521
| spl34_1224
| ~ spl34_400
| ~ spl34_711 ),
inference(avatar_split_clause,[],[f5631,f5517,f2856,f12547,f3646]) ).
fof(f12547,plain,
( spl34_1224
<=> v1_relat_1(k4_relat_1(u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1224])]) ).
fof(f5631,plain,
( v1_relat_1(k4_relat_1(u3_conlat_1(sK28)))
| ~ m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_400
| ~ spl34_711 ),
inference(superposition,[],[f2857,f5519]) ).
fof(f12545,plain,
( spl34_1223
| ~ spl34_338
| ~ spl34_711 ),
inference(avatar_split_clause,[],[f5628,f5517,f2450,f12542]) ).
fof(f12542,plain,
( spl34_1223
<=> k7_conlat_2(sK28) = g2_conlat_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1223])]) ).
fof(f2450,plain,
( spl34_338
<=> k7_conlat_2(sK28) = g2_conlat_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_338])]) ).
fof(f5628,plain,
( k7_conlat_2(sK28) = g2_conlat_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28)))
| ~ spl34_338
| ~ spl34_711 ),
inference(superposition,[],[f2452,f5519]) ).
fof(f2452,plain,
( k7_conlat_2(sK28) = g2_conlat_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)))
| ~ spl34_338 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f12538,plain,
( ~ spl34_1221
| spl34_1222
| ~ spl34_400
| ~ spl34_710 ),
inference(avatar_split_clause,[],[f5625,f5512,f2856,f12535,f12531]) ).
fof(f12531,plain,
( spl34_1221
<=> m1_relset_1(u3_conlat_1(sK24),u1_conlat_1(sK24),u2_conlat_1(sK24)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1221])]) ).
fof(f12535,plain,
( spl34_1222
<=> v1_relat_1(k4_relat_1(u3_conlat_1(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1222])]) ).
fof(f5625,plain,
( v1_relat_1(k4_relat_1(u3_conlat_1(sK24)))
| ~ m1_relset_1(u3_conlat_1(sK24),u1_conlat_1(sK24),u2_conlat_1(sK24))
| ~ spl34_400
| ~ spl34_710 ),
inference(superposition,[],[f2857,f5514]) ).
fof(f12529,plain,
( spl34_1220
| ~ spl34_394
| ~ spl34_676 ),
inference(avatar_split_clause,[],[f5329,f5249,f2824,f12527]) ).
fof(f12527,plain,
( spl34_1220
<=> ! [X0,X1] :
( sK12(k1_zfmisc_1(X0)) = sK12(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1220])]) ).
fof(f2824,plain,
( spl34_394
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_394])]) ).
fof(f5249,plain,
( spl34_676
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK12(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_676])]) ).
fof(f5329,plain,
( ! [X0,X1] :
( sK12(k1_zfmisc_1(X0)) = sK12(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) )
| ~ spl34_394
| ~ spl34_676 ),
inference(resolution,[],[f5250,f2825]) ).
fof(f2825,plain,
( ! [X0] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl34_394 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f5250,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| sK12(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) )
| ~ spl34_676 ),
inference(avatar_component_clause,[],[f5249]) ).
fof(f12525,plain,
( spl34_1219
| ~ spl34_250
| ~ spl34_674 ),
inference(avatar_split_clause,[],[f5311,f5236,f1818,f12523]) ).
fof(f12523,plain,
( spl34_1219
<=> ! [X0] :
( u1_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1219])]) ).
fof(f5311,plain,
( ! [X0] :
( u1_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_250
| ~ spl34_674 ),
inference(resolution,[],[f5237,f1819]) ).
fof(f12521,plain,
( spl34_1218
| ~ spl34_249
| ~ spl34_673 ),
inference(avatar_split_clause,[],[f5303,f5232,f1814,f12519]) ).
fof(f12519,plain,
( spl34_1218
<=> ! [X0] :
( u2_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1218])]) ).
fof(f5303,plain,
( ! [X0] :
( u2_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_249
| ~ spl34_673 ),
inference(resolution,[],[f5233,f1815]) ).
fof(f12517,plain,
( spl34_1217
| ~ spl34_316
| ~ spl34_664 ),
inference(avatar_split_clause,[],[f5154,f5119,f2276,f12515]) ).
fof(f12515,plain,
( spl34_1217
<=> ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(sK29))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK29),u2_conlat_1(sK29))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1217])]) ).
fof(f5119,plain,
( spl34_664
<=> m2_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_664])]) ).
fof(f5154,plain,
( ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(sK29))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK29),u2_conlat_1(sK29))) )
| ~ spl34_316
| ~ spl34_664 ),
inference(resolution,[],[f5121,f2277]) ).
fof(f5121,plain,
( m2_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ~ spl34_664 ),
inference(avatar_component_clause,[],[f5119]) ).
fof(f12513,plain,
( spl34_1216
| ~ spl34_316
| ~ spl34_663 ),
inference(avatar_split_clause,[],[f5150,f5114,f2276,f12511]) ).
fof(f12511,plain,
( spl34_1216
<=> ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(sK28))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK28),u2_conlat_1(sK28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1216])]) ).
fof(f5114,plain,
( spl34_663
<=> m2_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_663])]) ).
fof(f5150,plain,
( ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(sK28))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK28),u2_conlat_1(sK28))) )
| ~ spl34_316
| ~ spl34_663 ),
inference(resolution,[],[f5116,f2277]) ).
fof(f5116,plain,
( m2_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_663 ),
inference(avatar_component_clause,[],[f5114]) ).
fof(f12479,plain,
( spl34_1215
| ~ spl34_51
| ~ spl34_1190 ),
inference(avatar_split_clause,[],[f12326,f12136,f779,f12476]) ).
fof(f12476,plain,
( spl34_1215
<=> l1_struct_0(k11_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1215])]) ).
fof(f12136,plain,
( spl34_1190
<=> l1_lattices(k11_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1190])]) ).
fof(f12326,plain,
( l1_struct_0(k11_conlat_1(sK6))
| ~ spl34_51
| ~ spl34_1190 ),
inference(resolution,[],[f12138,f780]) ).
fof(f12138,plain,
( l1_lattices(k11_conlat_1(sK6))
| ~ spl34_1190 ),
inference(avatar_component_clause,[],[f12136]) ).
fof(f12459,plain,
( spl34_1214
| ~ spl34_236
| ~ spl34_648 ),
inference(avatar_split_clause,[],[f5008,f4999,f1731,f12457]) ).
fof(f12457,plain,
( spl34_1214
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(k7_conlat_2(sK6))
| u1_lattices(k11_conlat_1(k7_conlat_2(sK6))) = 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,[spl34_1214])]) ).
fof(f1731,plain,
( spl34_236
<=> ! [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,[spl34_236])]) ).
fof(f4999,plain,
( spl34_648
<=> k11_conlat_1(k7_conlat_2(sK6)) = g3_lattices(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_648])]) ).
fof(f5008,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(k7_conlat_2(sK6))
| u1_lattices(k11_conlat_1(k7_conlat_2(sK6))) = 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) )
| ~ spl34_236
| ~ spl34_648 ),
inference(superposition,[],[f1732,f5001]) ).
fof(f5001,plain,
( k11_conlat_1(k7_conlat_2(sK6)) = g3_lattices(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_648 ),
inference(avatar_component_clause,[],[f4999]) ).
fof(f1732,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) )
| ~ spl34_236 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f12455,plain,
( spl34_1213
| ~ spl34_235
| ~ spl34_648 ),
inference(avatar_split_clause,[],[f5006,f4999,f1727,f12453]) ).
fof(f12453,plain,
( spl34_1213
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(k7_conlat_2(sK6))
| u2_lattices(k11_conlat_1(k7_conlat_2(sK6))) = 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,[spl34_1213])]) ).
fof(f1727,plain,
( spl34_235
<=> ! [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,[spl34_235])]) ).
fof(f5006,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(k7_conlat_2(sK6))
| u2_lattices(k11_conlat_1(k7_conlat_2(sK6))) = 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) )
| ~ spl34_235
| ~ spl34_648 ),
inference(superposition,[],[f1728,f5001]) ).
fof(f1728,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) )
| ~ spl34_235 ),
inference(avatar_component_clause,[],[f1727]) ).
fof(f12451,plain,
( spl34_1212
| ~ spl34_234
| ~ spl34_648 ),
inference(avatar_split_clause,[],[f5004,f4999,f1723,f12449]) ).
fof(f12449,plain,
( spl34_1212
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(k7_conlat_2(sK6))
| u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))) = 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,[spl34_1212])]) ).
fof(f1723,plain,
( spl34_234
<=> ! [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,[spl34_234])]) ).
fof(f5004,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(k7_conlat_2(sK6))
| u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))) = 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) )
| ~ spl34_234
| ~ spl34_648 ),
inference(superposition,[],[f1724,f5001]) ).
fof(f1724,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) )
| ~ spl34_234 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f12435,plain,
( spl34_1211
| ~ spl34_262
| ~ spl34_814 ),
inference(avatar_split_clause,[],[f6860,f6742,f1916,f12433]) ).
fof(f12433,plain,
( spl34_1211
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK16(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1211])]) ).
fof(f6742,plain,
( spl34_814
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,k4_relat_1(sK16(X0,X1)))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(sK16(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_814])]) ).
fof(f6860,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK16(X1,X0))) )
| ~ spl34_262
| ~ spl34_814 ),
inference(resolution,[],[f6743,f1917]) ).
fof(f6743,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK16(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK16(X0,X1))) )
| ~ spl34_814 ),
inference(avatar_component_clause,[],[f6742]) ).
fof(f12416,plain,
( spl34_1210
| ~ spl34_150
| ~ spl34_806 ),
inference(avatar_split_clause,[],[f6833,f6700,f1211,f12414]) ).
fof(f12414,plain,
( spl34_1210
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK18(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1210])]) ).
fof(f6700,plain,
( spl34_806
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK18(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_806])]) ).
fof(f6833,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK18(X1,X0))) )
| ~ spl34_150
| ~ spl34_806 ),
inference(resolution,[],[f6701,f1212]) ).
fof(f6701,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK18(X0,X1))) )
| ~ spl34_806 ),
inference(avatar_component_clause,[],[f6700]) ).
fof(f12412,plain,
( spl34_1209
| ~ spl34_148
| ~ spl34_805 ),
inference(avatar_split_clause,[],[f6831,f6696,f1202,f12410]) ).
fof(f12410,plain,
( spl34_1209
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK17(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1209])]) ).
fof(f6696,plain,
( spl34_805
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK17(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_805])]) ).
fof(f6831,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK17(X1,X0))) )
| ~ spl34_148
| ~ spl34_805 ),
inference(resolution,[],[f6697,f1203]) ).
fof(f6697,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK17(X0,X1))) )
| ~ spl34_805 ),
inference(avatar_component_clause,[],[f6696]) ).
fof(f12408,plain,
( spl34_1208
| ~ spl34_146
| ~ spl34_804 ),
inference(avatar_split_clause,[],[f6829,f6692,f1194,f12406]) ).
fof(f12406,plain,
( spl34_1208
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK15(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1208])]) ).
fof(f6692,plain,
( spl34_804
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK15(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_804])]) ).
fof(f6829,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k4_relat_1(sK15(X1,X0))) )
| ~ spl34_146
| ~ spl34_804 ),
inference(resolution,[],[f6693,f1195]) ).
fof(f6693,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK15(X0,X1))) )
| ~ spl34_804 ),
inference(avatar_component_clause,[],[f6692]) ).
fof(f12404,plain,
( spl34_1207
| ~ spl34_144
| ~ spl34_688 ),
inference(avatar_split_clause,[],[f5410,f5356,f1186,f12402]) ).
fof(f12402,plain,
( spl34_1207
<=> ! [X0] :
( v1_xboole_0(sK7(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(X0,sK12(sK7(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1207])]) ).
fof(f5410,plain,
( ! [X0] :
( v1_xboole_0(sK7(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(X0,sK12(sK7(X0))) )
| ~ spl34_144
| ~ spl34_688 ),
inference(resolution,[],[f5357,f1187]) ).
fof(f12393,plain,
( spl34_1205
| ~ spl34_1206
| ~ spl34_300
| ~ spl34_664 ),
inference(avatar_split_clause,[],[f5155,f5119,f2126,f12390,f12387]) ).
fof(f12387,plain,
( spl34_1205
<=> ! [X0] : ~ r2_hidden(X0,u3_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1205])]) ).
fof(f12390,plain,
( spl34_1206
<=> v1_xboole_0(k2_zfmisc_1(u1_conlat_1(sK29),u2_conlat_1(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1206])]) ).
fof(f5155,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_conlat_1(sK29),u2_conlat_1(sK29)))
| ~ r2_hidden(X0,u3_conlat_1(sK29)) )
| ~ spl34_300
| ~ spl34_664 ),
inference(resolution,[],[f5121,f2127]) ).
fof(f12378,plain,
( spl34_1203
| ~ spl34_1204
| ~ spl34_300
| ~ spl34_663 ),
inference(avatar_split_clause,[],[f5151,f5114,f2126,f12375,f12372]) ).
fof(f12372,plain,
( spl34_1203
<=> ! [X0] : ~ r2_hidden(X0,u3_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1203])]) ).
fof(f12375,plain,
( spl34_1204
<=> v1_xboole_0(k2_zfmisc_1(u1_conlat_1(sK28),u2_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1204])]) ).
fof(f5151,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_conlat_1(sK28),u2_conlat_1(sK28)))
| ~ r2_hidden(X0,u3_conlat_1(sK28)) )
| ~ spl34_300
| ~ spl34_663 ),
inference(resolution,[],[f5116,f2127]) ).
fof(f12303,plain,
( spl34_1202
| ~ spl34_1142
| ~ spl34_1201 ),
inference(avatar_split_clause,[],[f12298,f12294,f11561,f12300]) ).
fof(f12300,plain,
( spl34_1202
<=> u2_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k4_relat_1(u2_lattices(k11_conlat_1(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1202])]) ).
fof(f11561,plain,
( spl34_1142
<=> k4_relat_1(u2_lattices(k11_conlat_1(k7_conlat_2(sK6)))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1142])]) ).
fof(f12294,plain,
( spl34_1201
<=> u2_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1201])]) ).
fof(f12298,plain,
( u2_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k4_relat_1(u2_lattices(k11_conlat_1(k7_conlat_2(sK6)))))
| ~ spl34_1142
| ~ spl34_1201 ),
inference(forward_demodulation,[],[f12296,f11563]) ).
fof(f11563,plain,
( k4_relat_1(u2_lattices(k11_conlat_1(k7_conlat_2(sK6)))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_1142 ),
inference(avatar_component_clause,[],[f11561]) ).
fof(f12296,plain,
( u2_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6)))))
| ~ spl34_1201 ),
inference(avatar_component_clause,[],[f12294]) ).
fof(f12297,plain,
( spl34_1201
| spl34_392
| ~ spl34_374
| ~ spl34_996 ),
inference(avatar_split_clause,[],[f9344,f9330,f2696,f2815,f12294]) ).
fof(f9330,plain,
( spl34_996
<=> ! [X0] :
( u2_lattices(k11_conlat_1(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_996])]) ).
fof(f9344,plain,
( v3_conlat_1(k7_conlat_2(sK6))
| u2_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6)))))
| ~ spl34_374
| ~ spl34_996 ),
inference(resolution,[],[f9331,f2698]) ).
fof(f2698,plain,
( l2_conlat_1(k7_conlat_2(sK6))
| ~ spl34_374 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f9331,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| u2_lattices(k11_conlat_1(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)))) )
| ~ spl34_996 ),
inference(avatar_component_clause,[],[f9330]) ).
fof(f12285,plain,
( spl34_1200
| ~ spl34_1141
| ~ spl34_1199 ),
inference(avatar_split_clause,[],[f12280,f12276,f11549,f12282]) ).
fof(f12282,plain,
( spl34_1200
<=> u1_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k4_relat_1(u1_lattices(k11_conlat_1(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1200])]) ).
fof(f11549,plain,
( spl34_1141
<=> k4_relat_1(u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1141])]) ).
fof(f12276,plain,
( spl34_1199
<=> u1_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1199])]) ).
fof(f12280,plain,
( u1_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k4_relat_1(u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))))
| ~ spl34_1141
| ~ spl34_1199 ),
inference(forward_demodulation,[],[f12278,f11551]) ).
fof(f11551,plain,
( k4_relat_1(u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_1141 ),
inference(avatar_component_clause,[],[f11549]) ).
fof(f12278,plain,
( u1_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))))
| ~ spl34_1199 ),
inference(avatar_component_clause,[],[f12276]) ).
fof(f12279,plain,
( spl34_1199
| spl34_392
| ~ spl34_374
| ~ spl34_995 ),
inference(avatar_split_clause,[],[f9335,f9326,f2696,f2815,f12276]) ).
fof(f9326,plain,
( spl34_995
<=> ! [X0] :
( u1_lattices(k11_conlat_1(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_995])]) ).
fof(f9335,plain,
( v3_conlat_1(k7_conlat_2(sK6))
| u1_lattices(k11_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))))
| ~ spl34_374
| ~ spl34_995 ),
inference(resolution,[],[f9327,f2698]) ).
fof(f9327,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| u1_lattices(k11_conlat_1(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))) )
| ~ spl34_995 ),
inference(avatar_component_clause,[],[f9326]) ).
fof(f12274,plain,
( spl34_1198
| ~ spl34_236
| ~ spl34_641 ),
inference(avatar_split_clause,[],[f4853,f4844,f1731,f12272]) ).
fof(f12272,plain,
( spl34_1198
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK6)
| u1_lattices(k11_conlat_1(sK6)) = 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,[spl34_1198])]) ).
fof(f4844,plain,
( spl34_641
<=> k11_conlat_1(sK6) = g3_lattices(u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_641])]) ).
fof(f4853,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK6)
| u1_lattices(k11_conlat_1(sK6)) = 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) )
| ~ spl34_236
| ~ spl34_641 ),
inference(superposition,[],[f1732,f4846]) ).
fof(f4846,plain,
( k11_conlat_1(sK6) = g3_lattices(u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6)))
| ~ spl34_641 ),
inference(avatar_component_clause,[],[f4844]) ).
fof(f12270,plain,
( spl34_1197
| ~ spl34_235
| ~ spl34_641 ),
inference(avatar_split_clause,[],[f4851,f4844,f1727,f12268]) ).
fof(f12268,plain,
( spl34_1197
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK6)
| u2_lattices(k11_conlat_1(sK6)) = 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,[spl34_1197])]) ).
fof(f4851,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK6)
| u2_lattices(k11_conlat_1(sK6)) = 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) )
| ~ spl34_235
| ~ spl34_641 ),
inference(superposition,[],[f1728,f4846]) ).
fof(f12266,plain,
( spl34_1196
| ~ spl34_234
| ~ spl34_641 ),
inference(avatar_split_clause,[],[f4849,f4844,f1723,f12264]) ).
fof(f12264,plain,
( spl34_1196
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK6)
| u1_struct_0(k11_conlat_1(sK6)) = 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,[spl34_1196])]) ).
fof(f4849,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k11_conlat_1(sK6)
| u1_struct_0(k11_conlat_1(sK6)) = 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) )
| ~ spl34_234
| ~ spl34_641 ),
inference(superposition,[],[f1724,f4846]) ).
fof(f12262,plain,
( spl34_1195
| ~ spl34_55
| ~ spl34_1159 ),
inference(avatar_split_clause,[],[f12064,f11750,f795,f12259]) ).
fof(f12259,plain,
( spl34_1195
<=> l2_lattices(k11_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1195])]) ).
fof(f11750,plain,
( spl34_1159
<=> l3_lattices(k11_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1159])]) ).
fof(f12064,plain,
( l2_lattices(k11_conlat_1(sK6))
| ~ spl34_55
| ~ spl34_1159 ),
inference(resolution,[],[f11751,f796]) ).
fof(f11751,plain,
( l3_lattices(k11_conlat_1(sK6))
| ~ spl34_1159 ),
inference(avatar_component_clause,[],[f11750]) ).
fof(f12218,plain,
( spl34_1194
| ~ spl34_1133
| ~ spl34_1193 ),
inference(avatar_split_clause,[],[f12214,f12211,f11445,f12216]) ).
fof(f12216,plain,
( spl34_1194
<=> ! [X2,X0,X1] :
( u1_conlat_1(sK6) = X1
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1194])]) ).
fof(f12211,plain,
( spl34_1193
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1193])]) ).
fof(f12214,plain,
( ! [X2,X0,X1] :
( u1_conlat_1(sK6) = X1
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) )
| ~ spl34_1133
| ~ spl34_1193 ),
inference(forward_demodulation,[],[f12212,f11447]) ).
fof(f12212,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1 )
| ~ spl34_1193 ),
inference(avatar_component_clause,[],[f12211]) ).
fof(f12213,plain,
( ~ spl34_1138
| spl34_1193
| ~ spl34_219
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5167,f5159,f1612,f12211,f11495]) ).
fof(f1612,plain,
( spl34_219
<=> ! [X2,X3,X4,X0,X5,X1] :
( X1 = X4
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_219])]) ).
fof(f5167,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) )
| ~ spl34_219
| ~ spl34_665 ),
inference(superposition,[],[f1613,f5161]) ).
fof(f1613,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X1 = X4
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f12169,plain,
( spl34_1192
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1191 ),
inference(avatar_split_clause,[],[f12165,f12162,f11268,f4960,f12167]) ).
fof(f12167,plain,
( spl34_1192
<=> ! [X2,X0,X1] :
( u2_conlat_1(sK6) = X0
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1192])]) ).
fof(f12162,plain,
( spl34_1191
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1191])]) ).
fof(f12165,plain,
( ! [X2,X0,X1] :
( u2_conlat_1(sK6) = X0
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) )
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1191 ),
inference(forward_demodulation,[],[f12163,f11297]) ).
fof(f12163,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0 )
| ~ spl34_1191 ),
inference(avatar_component_clause,[],[f12162]) ).
fof(f12164,plain,
( ~ spl34_1138
| spl34_1191
| ~ spl34_218
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5165,f5159,f1608,f12162,f11495]) ).
fof(f1608,plain,
( spl34_218
<=> ! [X2,X4,X0,X5,X3,X1] :
( X0 = X3
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_218])]) ).
fof(f5165,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) )
| ~ spl34_218
| ~ spl34_665 ),
inference(superposition,[],[f1609,f5161]) ).
fof(f1609,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| X0 = X3
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f12139,plain,
( spl34_1190
| ~ spl34_54
| ~ spl34_1159 ),
inference(avatar_split_clause,[],[f12063,f11750,f791,f12136]) ).
fof(f12063,plain,
( l1_lattices(k11_conlat_1(sK6))
| ~ spl34_54
| ~ spl34_1159 ),
inference(resolution,[],[f11751,f792]) ).
fof(f12134,plain,
( spl34_1189
| ~ spl34_162
| ~ spl34_734 ),
inference(avatar_split_clause,[],[f5763,f5724,f1272,f12132]) ).
fof(f12132,plain,
( spl34_1189
<=> ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1189])]) ).
fof(f1272,plain,
( spl34_162
<=> ! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_162])]) ).
fof(f5724,plain,
( spl34_734
<=> ! [X0] :
( sP4(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_734])]) ).
fof(f5763,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_734 ),
inference(duplicate_literal_removal,[],[f5758]) ).
fof(f5758,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_734 ),
inference(resolution,[],[f5725,f1273]) ).
fof(f1273,plain,
( ! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f5725,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_734 ),
inference(avatar_component_clause,[],[f5724]) ).
fof(f12130,plain,
( spl34_1188
| ~ spl34_162
| ~ spl34_733 ),
inference(avatar_split_clause,[],[f5756,f5720,f1272,f12128]) ).
fof(f12128,plain,
( spl34_1188
<=> ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1188])]) ).
fof(f5720,plain,
( spl34_733
<=> ! [X0] :
( sP4(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_733])]) ).
fof(f5756,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_733 ),
inference(duplicate_literal_removal,[],[f5751]) ).
fof(f5751,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_733 ),
inference(resolution,[],[f5721,f1273]) ).
fof(f5721,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_733 ),
inference(avatar_component_clause,[],[f5720]) ).
fof(f12126,plain,
( spl34_1187
| ~ spl34_508
| ~ spl34_675 ),
inference(avatar_split_clause,[],[f5320,f5245,f3539,f12123]) ).
fof(f12123,plain,
( spl34_1187
<=> u3_conlat_1(k7_conlat_2(sK28)) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1187])]) ).
fof(f3539,plain,
( spl34_508
<=> l2_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_508])]) ).
fof(f5320,plain,
( u3_conlat_1(k7_conlat_2(sK28)) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK28))))
| ~ spl34_508
| ~ spl34_675 ),
inference(resolution,[],[f5246,f3541]) ).
fof(f3541,plain,
( l2_conlat_1(k7_conlat_2(sK28))
| ~ spl34_508 ),
inference(avatar_component_clause,[],[f3539]) ).
fof(f12121,plain,
( spl34_1186
| ~ spl34_394
| ~ spl34_650 ),
inference(avatar_split_clause,[],[f5126,f5030,f2824,f12119]) ).
fof(f12119,plain,
( spl34_1186
<=> ! [X0] :
( sK26 = sK12(k1_zfmisc_1(sK12(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1186])]) ).
fof(f5030,plain,
( spl34_650
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK26 = sK12(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_650])]) ).
fof(f5126,plain,
( ! [X0] :
( sK26 = sK12(k1_zfmisc_1(sK12(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) )
| ~ spl34_394
| ~ spl34_650 ),
inference(resolution,[],[f5031,f2825]) ).
fof(f5031,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK26 = sK12(k1_zfmisc_1(X0)) )
| ~ spl34_650 ),
inference(avatar_component_clause,[],[f5030]) ).
fof(f12117,plain,
( ~ spl34_1138
| spl34_1184
| ~ spl34_1185
| ~ spl34_509
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5180,f5159,f3545,f12114,f12110,f11495]) ).
fof(f12110,plain,
( spl34_1184
<=> u2_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1184])]) ).
fof(f12114,plain,
( spl34_1185
<=> k7_conlat_2(sK28) = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1185])]) ).
fof(f3545,plain,
( spl34_509
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_509])]) ).
fof(f5180,plain,
( k7_conlat_2(sK28) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u2_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_509
| ~ spl34_665 ),
inference(superposition,[],[f3546,f5161]) ).
fof(f3546,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_509 ),
inference(avatar_component_clause,[],[f3545]) ).
fof(f12107,plain,
( spl34_1183
| ~ spl34_326
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4063,f4035,f2367,f12104]) ).
fof(f12104,plain,
( spl34_1183
<=> g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))),u2_conlat_1(g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))),u3_conlat_1(g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1183])]) ).
fof(f2367,plain,
( spl34_326
<=> m1_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_326])]) ).
fof(f4035,plain,
( spl34_564
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_564])]) ).
fof(f4063,plain,
( g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))),u2_conlat_1(g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))),u3_conlat_1(g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))))
| ~ spl34_326
| ~ spl34_564 ),
inference(resolution,[],[f4036,f2368]) ).
fof(f2368,plain,
( m1_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_326 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f4036,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| g2_conlat_1(X0,X1,X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))) )
| ~ spl34_564 ),
inference(avatar_component_clause,[],[f4035]) ).
fof(f11961,plain,
( spl34_1182
| ~ spl34_54
| ~ spl34_938 ),
inference(avatar_split_clause,[],[f8529,f8487,f791,f11958]) ).
fof(f11958,plain,
( spl34_1182
<=> l1_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1182])]) ).
fof(f8487,plain,
( spl34_938
<=> l3_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_938])]) ).
fof(f8529,plain,
( l1_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33)))
| ~ spl34_54
| ~ spl34_938 ),
inference(resolution,[],[f8489,f792]) ).
fof(f8489,plain,
( l3_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33)))
| ~ spl34_938 ),
inference(avatar_component_clause,[],[f8487]) ).
fof(f11956,plain,
( spl34_1181
| ~ spl34_55
| ~ spl34_938 ),
inference(avatar_split_clause,[],[f8528,f8487,f795,f11953]) ).
fof(f11953,plain,
( spl34_1181
<=> l2_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1181])]) ).
fof(f8528,plain,
( l2_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33)))
| ~ spl34_55
| ~ spl34_938 ),
inference(resolution,[],[f8489,f796]) ).
fof(f11951,plain,
( spl34_1180
| ~ spl34_54
| ~ spl34_932 ),
inference(avatar_split_clause,[],[f8437,f8418,f791,f11948]) ).
fof(f11948,plain,
( spl34_1180
<=> l1_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1180])]) ).
fof(f8418,plain,
( spl34_932
<=> l3_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_932])]) ).
fof(f8437,plain,
( l1_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32)))
| ~ spl34_54
| ~ spl34_932 ),
inference(resolution,[],[f8420,f792]) ).
fof(f8420,plain,
( l3_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32)))
| ~ spl34_932 ),
inference(avatar_component_clause,[],[f8418]) ).
fof(f11923,plain,
( spl34_1
| ~ spl34_2
| ~ spl34_164
| spl34_1159 ),
inference(avatar_split_clause,[],[f11867,f11750,f1280,f537,f532]) ).
fof(f11867,plain,
( ~ l2_conlat_1(sK6)
| v3_conlat_1(sK6)
| ~ spl34_164
| spl34_1159 ),
inference(resolution,[],[f11752,f1281]) ).
fof(f11752,plain,
( ~ l3_lattices(k11_conlat_1(sK6))
| spl34_1159 ),
inference(avatar_component_clause,[],[f11750]) ).
fof(f11922,plain,
( spl34_1179
| ~ spl34_55
| ~ spl34_932 ),
inference(avatar_split_clause,[],[f8436,f8418,f795,f11919]) ).
fof(f11919,plain,
( spl34_1179
<=> l2_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1179])]) ).
fof(f8436,plain,
( l2_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32)))
| ~ spl34_55
| ~ spl34_932 ),
inference(resolution,[],[f8420,f796]) ).
fof(f11917,plain,
( spl34_1178
| ~ spl34_54
| ~ spl34_926 ),
inference(avatar_split_clause,[],[f8372,f8348,f791,f11914]) ).
fof(f11914,plain,
( spl34_1178
<=> l1_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1178])]) ).
fof(f8348,plain,
( spl34_926
<=> l3_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_926])]) ).
fof(f8372,plain,
( l1_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)))
| ~ spl34_54
| ~ spl34_926 ),
inference(resolution,[],[f8350,f792]) ).
fof(f8350,plain,
( l3_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)))
| ~ spl34_926 ),
inference(avatar_component_clause,[],[f8348]) ).
fof(f11912,plain,
( spl34_1177
| ~ spl34_55
| ~ spl34_926 ),
inference(avatar_split_clause,[],[f8371,f8348,f795,f11909]) ).
fof(f11909,plain,
( spl34_1177
<=> l2_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1177])]) ).
fof(f8371,plain,
( l2_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)))
| ~ spl34_55
| ~ spl34_926 ),
inference(resolution,[],[f8350,f796]) ).
fof(f11907,plain,
( spl34_1176
| ~ spl34_54
| ~ spl34_921 ),
inference(avatar_split_clause,[],[f8294,f8275,f791,f11904]) ).
fof(f11904,plain,
( spl34_1176
<=> l1_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1176])]) ).
fof(f8275,plain,
( spl34_921
<=> l3_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_921])]) ).
fof(f8294,plain,
( l1_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)))
| ~ spl34_54
| ~ spl34_921 ),
inference(resolution,[],[f8277,f792]) ).
fof(f8277,plain,
( l3_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)))
| ~ spl34_921 ),
inference(avatar_component_clause,[],[f8275]) ).
fof(f11902,plain,
( spl34_1175
| ~ spl34_55
| ~ spl34_921 ),
inference(avatar_split_clause,[],[f8293,f8275,f795,f11899]) ).
fof(f11899,plain,
( spl34_1175
<=> l2_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1175])]) ).
fof(f8293,plain,
( l2_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)))
| ~ spl34_55
| ~ spl34_921 ),
inference(resolution,[],[f8277,f796]) ).
fof(f11890,plain,
( spl34_1174
| ~ spl34_1125
| ~ spl34_1173 ),
inference(avatar_split_clause,[],[f11885,f11881,f11324,f11887]) ).
fof(f11887,plain,
( spl34_1174
<=> u2_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k4_relat_1(u2_lattices(k11_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1174])]) ).
fof(f11324,plain,
( spl34_1125
<=> k4_relat_1(u2_lattices(k11_conlat_1(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1125])]) ).
fof(f11881,plain,
( spl34_1173
<=> u2_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1173])]) ).
fof(f11885,plain,
( u2_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k4_relat_1(u2_lattices(k11_conlat_1(sK6))))
| ~ spl34_1125
| ~ spl34_1173 ),
inference(forward_demodulation,[],[f11883,f11326]) ).
fof(f11326,plain,
( k4_relat_1(u2_lattices(k11_conlat_1(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6)))
| ~ spl34_1125 ),
inference(avatar_component_clause,[],[f11324]) ).
fof(f11883,plain,
( u2_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6))))
| ~ spl34_1173 ),
inference(avatar_component_clause,[],[f11881]) ).
fof(f11884,plain,
( spl34_1173
| spl34_1
| ~ spl34_2
| ~ spl34_996 ),
inference(avatar_split_clause,[],[f9347,f9330,f537,f532,f11881]) ).
fof(f9347,plain,
( v3_conlat_1(sK6)
| u2_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6))))
| ~ spl34_2
| ~ spl34_996 ),
inference(resolution,[],[f9331,f539]) ).
fof(f539,plain,
( l2_conlat_1(sK6)
| ~ spl34_2 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f11872,plain,
( spl34_1172
| ~ spl34_1124
| ~ spl34_1171 ),
inference(avatar_split_clause,[],[f11866,f11862,f11312,f11869]) ).
fof(f11869,plain,
( spl34_1172
<=> u1_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k4_relat_1(u1_lattices(k11_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1172])]) ).
fof(f11312,plain,
( spl34_1124
<=> k4_relat_1(u1_lattices(k11_conlat_1(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1124])]) ).
fof(f11862,plain,
( spl34_1171
<=> u1_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1171])]) ).
fof(f11866,plain,
( u1_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k4_relat_1(u1_lattices(k11_conlat_1(sK6))))
| ~ spl34_1124
| ~ spl34_1171 ),
inference(forward_demodulation,[],[f11864,f11314]) ).
fof(f11314,plain,
( k4_relat_1(u1_lattices(k11_conlat_1(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6)))
| ~ spl34_1124 ),
inference(avatar_component_clause,[],[f11312]) ).
fof(f11864,plain,
( u1_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6))))
| ~ spl34_1171 ),
inference(avatar_component_clause,[],[f11862]) ).
fof(f11865,plain,
( spl34_1171
| spl34_1
| ~ spl34_2
| ~ spl34_995 ),
inference(avatar_split_clause,[],[f9338,f9326,f537,f532,f11862]) ).
fof(f9338,plain,
( v3_conlat_1(sK6)
| u1_lattices(k11_conlat_1(sK6)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6))))
| ~ spl34_2
| ~ spl34_995 ),
inference(resolution,[],[f9327,f539]) ).
fof(f11859,plain,
( spl34_392
| spl34_1170
| ~ spl34_374
| ~ spl34_896 ),
inference(avatar_split_clause,[],[f8116,f7927,f2696,f11856,f2815]) ).
fof(f11856,plain,
( spl34_1170
<=> u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1170])]) ).
fof(f7927,plain,
( spl34_896
<=> ! [X0] :
( u3_conlat_1(k7_conlat_2(X0)) = k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_896])]) ).
fof(f8116,plain,
( u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_374
| ~ spl34_896 ),
inference(resolution,[],[f7928,f2698]) ).
fof(f7928,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| u3_conlat_1(k7_conlat_2(X0)) = k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| v3_conlat_1(X0) )
| ~ spl34_896 ),
inference(avatar_component_clause,[],[f7927]) ).
fof(f11851,plain,
( spl34_1169
| ~ spl34_55
| ~ spl34_939 ),
inference(avatar_split_clause,[],[f8551,f8493,f795,f11848]) ).
fof(f11848,plain,
( spl34_1169
<=> l2_lattices(g3_lattices(sK26,u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1169])]) ).
fof(f8493,plain,
( spl34_939
<=> l3_lattices(g3_lattices(sK26,u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_939])]) ).
fof(f8551,plain,
( l2_lattices(g3_lattices(sK26,u1_lattices(sK33),u2_lattices(sK33)))
| ~ spl34_55
| ~ spl34_939 ),
inference(resolution,[],[f8495,f796]) ).
fof(f8495,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK33),u2_lattices(sK33)))
| ~ spl34_939 ),
inference(avatar_component_clause,[],[f8493]) ).
fof(f11846,plain,
( spl34_1168
| ~ spl34_55
| ~ spl34_933 ),
inference(avatar_split_clause,[],[f8464,f8424,f795,f11843]) ).
fof(f11843,plain,
( spl34_1168
<=> l2_lattices(g3_lattices(sK26,u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1168])]) ).
fof(f8424,plain,
( spl34_933
<=> l3_lattices(g3_lattices(sK26,u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_933])]) ).
fof(f8464,plain,
( l2_lattices(g3_lattices(sK26,u1_lattices(sK32),u2_lattices(sK32)))
| ~ spl34_55
| ~ spl34_933 ),
inference(resolution,[],[f8426,f796]) ).
fof(f8426,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK32),u2_lattices(sK32)))
| ~ spl34_933 ),
inference(avatar_component_clause,[],[f8424]) ).
fof(f11841,plain,
( spl34_1167
| ~ spl34_55
| ~ spl34_927 ),
inference(avatar_split_clause,[],[f8394,f8354,f795,f11838]) ).
fof(f11838,plain,
( spl34_1167
<=> l2_lattices(g3_lattices(sK26,u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1167])]) ).
fof(f8354,plain,
( spl34_927
<=> l3_lattices(g3_lattices(sK26,u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_927])]) ).
fof(f8394,plain,
( l2_lattices(g3_lattices(sK26,u1_lattices(sK31),u2_lattices(sK31)))
| ~ spl34_55
| ~ spl34_927 ),
inference(resolution,[],[f8356,f796]) ).
fof(f8356,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK31),u2_lattices(sK31)))
| ~ spl34_927 ),
inference(avatar_component_clause,[],[f8354]) ).
fof(f11836,plain,
( spl34_1166
| ~ spl34_55
| ~ spl34_922 ),
inference(avatar_split_clause,[],[f8325,f8281,f795,f11833]) ).
fof(f11833,plain,
( spl34_1166
<=> l2_lattices(g3_lattices(sK26,u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1166])]) ).
fof(f8281,plain,
( spl34_922
<=> l3_lattices(g3_lattices(sK26,u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_922])]) ).
fof(f8325,plain,
( l2_lattices(g3_lattices(sK26,u1_lattices(sK30),u2_lattices(sK30)))
| ~ spl34_55
| ~ spl34_922 ),
inference(resolution,[],[f8283,f796]) ).
fof(f8283,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK30),u2_lattices(sK30)))
| ~ spl34_922 ),
inference(avatar_component_clause,[],[f8281]) ).
fof(f11831,plain,
( spl34_1165
| ~ spl34_112
| ~ spl34_689 ),
inference(avatar_split_clause,[],[f5431,f5360,f1044,f11829]) ).
fof(f11829,plain,
( spl34_1165
<=> ! [X0] :
( sP4(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1165])]) ).
fof(f1044,plain,
( spl34_112
<=> ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_112])]) ).
fof(f5360,plain,
( spl34_689
<=> ! [X0] :
( sP4(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_689])]) ).
fof(f5431,plain,
( ! [X0] :
( sP4(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_112
| ~ spl34_689 ),
inference(duplicate_literal_removal,[],[f5430]) ).
fof(f5430,plain,
( ! [X0] :
( sP4(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0)
| ~ sP4(X0) )
| ~ spl34_112
| ~ spl34_689 ),
inference(resolution,[],[f5361,f1045]) ).
fof(f1045,plain,
( ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_112 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f5361,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP4(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_689 ),
inference(avatar_component_clause,[],[f5360]) ).
fof(f11827,plain,
( spl34_1164
| ~ spl34_18
| ~ spl34_675 ),
inference(avatar_split_clause,[],[f5325,f5245,f617,f11824]) ).
fof(f11824,plain,
( spl34_1164
<=> u3_conlat_1(sK29) = k4_relat_1(k4_relat_1(u3_conlat_1(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1164])]) ).
fof(f617,plain,
( spl34_18
<=> l2_conlat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_18])]) ).
fof(f5325,plain,
( u3_conlat_1(sK29) = k4_relat_1(k4_relat_1(u3_conlat_1(sK29)))
| ~ spl34_18
| ~ spl34_675 ),
inference(resolution,[],[f5246,f619]) ).
fof(f619,plain,
( l2_conlat_1(sK29)
| ~ spl34_18 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f11819,plain,
( spl34_1163
| ~ spl34_15
| ~ spl34_675 ),
inference(avatar_split_clause,[],[f5324,f5245,f602,f11816]) ).
fof(f11816,plain,
( spl34_1163
<=> u3_conlat_1(sK28) = k4_relat_1(k4_relat_1(u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1163])]) ).
fof(f602,plain,
( spl34_15
<=> l2_conlat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_15])]) ).
fof(f5324,plain,
( u3_conlat_1(sK28) = k4_relat_1(k4_relat_1(u3_conlat_1(sK28)))
| ~ spl34_15
| ~ spl34_675 ),
inference(resolution,[],[f5246,f604]) ).
fof(f604,plain,
( l2_conlat_1(sK28)
| ~ spl34_15 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f11814,plain,
( spl34_1162
| ~ spl34_10
| ~ spl34_675 ),
inference(avatar_split_clause,[],[f5323,f5245,f577,f11811]) ).
fof(f11811,plain,
( spl34_1162
<=> u3_conlat_1(sK24) = k4_relat_1(k4_relat_1(u3_conlat_1(sK24))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1162])]) ).
fof(f11808,plain,
( spl34_430
| ~ spl34_138
| ~ spl34_674 ),
inference(avatar_split_clause,[],[f5317,f5236,f1159,f3033]) ).
fof(f3033,plain,
( spl34_430
<=> u1_lattices(sK33) = k4_relat_1(k4_relat_1(u1_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_430])]) ).
fof(f1159,plain,
( spl34_138
<=> l1_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_138])]) ).
fof(f5317,plain,
( u1_lattices(sK33) = k4_relat_1(k4_relat_1(u1_lattices(sK33)))
| ~ spl34_138
| ~ spl34_674 ),
inference(resolution,[],[f5237,f1161]) ).
fof(f1161,plain,
( l1_lattices(sK33)
| ~ spl34_138 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f11806,plain,
( spl34_425
| ~ spl34_135
| ~ spl34_674 ),
inference(avatar_split_clause,[],[f5314,f5236,f1144,f3007]) ).
fof(f3007,plain,
( spl34_425
<=> u1_lattices(sK30) = k4_relat_1(k4_relat_1(u1_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_425])]) ).
fof(f1144,plain,
( spl34_135
<=> l1_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_135])]) ).
fof(f5314,plain,
( u1_lattices(sK30) = k4_relat_1(k4_relat_1(u1_lattices(sK30)))
| ~ spl34_135
| ~ spl34_674 ),
inference(resolution,[],[f5237,f1146]) ).
fof(f1146,plain,
( l1_lattices(sK30)
| ~ spl34_135 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f11797,plain,
( ~ spl34_1161
| ~ spl34_72
| spl34_1160 ),
inference(avatar_split_clause,[],[f11782,f11773,f880,f11777]) ).
fof(f11777,plain,
( spl34_1161
<=> v1_relat_1(u1_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1161])]) ).
fof(f880,plain,
( spl34_72
<=> ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_72])]) ).
fof(f11773,plain,
( spl34_1160
<=> v1_relat_1(k4_relat_1(u1_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1160])]) ).
fof(f11782,plain,
( ~ v1_relat_1(u1_lattices(sK25))
| ~ spl34_72
| spl34_1160 ),
inference(resolution,[],[f11775,f881]) ).
fof(f881,plain,
( ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) )
| ~ spl34_72 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f11775,plain,
( ~ v1_relat_1(k4_relat_1(u1_lattices(sK25)))
| spl34_1160 ),
inference(avatar_component_clause,[],[f11773]) ).
fof(f11784,plain,
( ~ spl34_393
| ~ spl34_106
| spl34_1150 ),
inference(avatar_split_clause,[],[f11661,f11653,f1019,f2819]) ).
fof(f1019,plain,
( spl34_106
<=> ! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_106])]) ).
fof(f11653,plain,
( spl34_1150
<=> v10_lattices(k11_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1150])]) ).
fof(f11661,plain,
( ~ sP3(k7_conlat_2(sK6))
| ~ spl34_106
| spl34_1150 ),
inference(resolution,[],[f11655,f1020]) ).
fof(f1020,plain,
( ! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_106 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f11655,plain,
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| spl34_1150 ),
inference(avatar_component_clause,[],[f11653]) ).
fof(f11783,plain,
( ~ spl34_132
| ~ spl34_387
| spl34_1161 ),
inference(avatar_split_clause,[],[f11781,f11777,f2780,f1125]) ).
fof(f11781,plain,
( ~ l1_lattices(sK25)
| ~ spl34_387
| spl34_1161 ),
inference(resolution,[],[f11778,f2781]) ).
fof(f11778,plain,
( ~ v1_relat_1(u1_lattices(sK25))
| spl34_1161 ),
inference(avatar_component_clause,[],[f11777]) ).
fof(f11780,plain,
( ~ spl34_1160
| spl34_1161
| ~ spl34_72
| ~ spl34_422 ),
inference(avatar_split_clause,[],[f11771,f2994,f880,f11777,f11773]) ).
fof(f2994,plain,
( spl34_422
<=> u1_lattices(sK25) = k4_relat_1(k4_relat_1(u1_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_422])]) ).
fof(f11771,plain,
( v1_relat_1(u1_lattices(sK25))
| ~ v1_relat_1(k4_relat_1(u1_lattices(sK25)))
| ~ spl34_72
| ~ spl34_422 ),
inference(superposition,[],[f881,f2996]) ).
fof(f2996,plain,
( u1_lattices(sK25) = k4_relat_1(k4_relat_1(u1_lattices(sK25)))
| ~ spl34_422 ),
inference(avatar_component_clause,[],[f2994]) ).
fof(f11770,plain,
( spl34_422
| ~ spl34_132
| ~ spl34_674 ),
inference(avatar_split_clause,[],[f5313,f5236,f1125,f2994]) ).
fof(f11761,plain,
( ~ spl34_1158
| ~ spl34_72
| spl34_1157 ),
inference(avatar_split_clause,[],[f11748,f11739,f880,f11743]) ).
fof(f11743,plain,
( spl34_1158
<=> v1_relat_1(u1_lattices(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1158])]) ).
fof(f11739,plain,
( spl34_1157
<=> v1_relat_1(k4_relat_1(u1_lattices(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1157])]) ).
fof(f11748,plain,
( ~ v1_relat_1(u1_lattices(sK21))
| ~ spl34_72
| spl34_1157 ),
inference(resolution,[],[f11741,f881]) ).
fof(f11741,plain,
( ~ v1_relat_1(k4_relat_1(u1_lattices(sK21)))
| spl34_1157 ),
inference(avatar_component_clause,[],[f11739]) ).
fof(f11754,plain,
( ~ spl34_7
| ~ spl34_387
| spl34_1158 ),
inference(avatar_split_clause,[],[f11747,f11743,f2780,f562]) ).
fof(f11747,plain,
( ~ l1_lattices(sK21)
| ~ spl34_387
| spl34_1158 ),
inference(resolution,[],[f11744,f2781]) ).
fof(f11744,plain,
( ~ v1_relat_1(u1_lattices(sK21))
| spl34_1158 ),
inference(avatar_component_clause,[],[f11743]) ).
fof(f11753,plain,
( ~ spl34_1159
| ~ spl34_74
| spl34_1148 ),
inference(avatar_split_clause,[],[f11660,f11645,f888,f11750]) ).
fof(f888,plain,
( spl34_74
<=> ! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_74])]) ).
fof(f11660,plain,
( ~ l3_lattices(k11_conlat_1(sK6))
| ~ spl34_74
| spl34_1148 ),
inference(resolution,[],[f11647,f889]) ).
fof(f889,plain,
( ! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl34_74 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f11647,plain,
( ~ l3_lattices(k1_lattice2(k11_conlat_1(sK6)))
| spl34_1148 ),
inference(avatar_component_clause,[],[f11645]) ).
fof(f11746,plain,
( ~ spl34_1157
| spl34_1158
| ~ spl34_72
| ~ spl34_419 ),
inference(avatar_split_clause,[],[f11737,f2981,f880,f11743,f11739]) ).
fof(f2981,plain,
( spl34_419
<=> u1_lattices(sK21) = k4_relat_1(k4_relat_1(u1_lattices(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_419])]) ).
fof(f11737,plain,
( v1_relat_1(u1_lattices(sK21))
| ~ v1_relat_1(k4_relat_1(u1_lattices(sK21)))
| ~ spl34_72
| ~ spl34_419 ),
inference(superposition,[],[f881,f2983]) ).
fof(f2983,plain,
( u1_lattices(sK21) = k4_relat_1(k4_relat_1(u1_lattices(sK21)))
| ~ spl34_419 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f11736,plain,
( spl34_419
| ~ spl34_7
| ~ spl34_674 ),
inference(avatar_split_clause,[],[f5312,f5236,f562,f2981]) ).
fof(f11734,plain,
( spl34_443
| ~ spl34_190
| ~ spl34_673 ),
inference(avatar_split_clause,[],[f5309,f5232,f1446,f3094]) ).
fof(f3094,plain,
( spl34_443
<=> u2_lattices(sK33) = k4_relat_1(k4_relat_1(u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_443])]) ).
fof(f1446,plain,
( spl34_190
<=> l2_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_190])]) ).
fof(f5309,plain,
( u2_lattices(sK33) = k4_relat_1(k4_relat_1(u2_lattices(sK33)))
| ~ spl34_190
| ~ spl34_673 ),
inference(resolution,[],[f5233,f1448]) ).
fof(f1448,plain,
( l2_lattices(sK33)
| ~ spl34_190 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f11732,plain,
( spl34_438
| ~ spl34_140
| ~ spl34_673 ),
inference(avatar_split_clause,[],[f5306,f5232,f1169,f3068]) ).
fof(f3068,plain,
( spl34_438
<=> u2_lattices(sK30) = k4_relat_1(k4_relat_1(u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_438])]) ).
fof(f1169,plain,
( spl34_140
<=> l2_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_140])]) ).
fof(f5306,plain,
( u2_lattices(sK30) = k4_relat_1(k4_relat_1(u2_lattices(sK30)))
| ~ spl34_140
| ~ spl34_673 ),
inference(resolution,[],[f5233,f1171]) ).
fof(f1171,plain,
( l2_lattices(sK30)
| ~ spl34_140 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f11723,plain,
( ~ spl34_1156
| ~ spl34_120
| spl34_1147 ),
inference(avatar_split_clause,[],[f11659,f11641,f1076,f11720]) ).
fof(f11720,plain,
( spl34_1156
<=> sP4(k11_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1156])]) ).
fof(f1076,plain,
( spl34_120
<=> ! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_120])]) ).
fof(f11641,plain,
( spl34_1147
<=> v10_lattices(k1_lattice2(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1147])]) ).
fof(f11659,plain,
( ~ sP4(k11_conlat_1(sK6))
| ~ spl34_120
| spl34_1147 ),
inference(resolution,[],[f11643,f1077]) ).
fof(f1077,plain,
( ! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_120 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f11643,plain,
( ~ v10_lattices(k1_lattice2(k11_conlat_1(sK6)))
| spl34_1147 ),
inference(avatar_component_clause,[],[f11641]) ).
fof(f11718,plain,
( ~ spl34_1155
| ~ spl34_72
| spl34_1154 ),
inference(avatar_split_clause,[],[f11710,f11701,f880,f11705]) ).
fof(f11705,plain,
( spl34_1155
<=> v1_relat_1(u2_lattices(sK25)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1155])]) ).
fof(f11701,plain,
( spl34_1154
<=> v1_relat_1(k4_relat_1(u2_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1154])]) ).
fof(f11710,plain,
( ~ v1_relat_1(u2_lattices(sK25))
| ~ spl34_72
| spl34_1154 ),
inference(resolution,[],[f11703,f881]) ).
fof(f11703,plain,
( ~ v1_relat_1(k4_relat_1(u2_lattices(sK25)))
| spl34_1154 ),
inference(avatar_component_clause,[],[f11701]) ).
fof(f11711,plain,
( ~ spl34_139
| ~ spl34_386
| spl34_1155 ),
inference(avatar_split_clause,[],[f11709,f11705,f2776,f1164]) ).
fof(f11709,plain,
( ~ l2_lattices(sK25)
| ~ spl34_386
| spl34_1155 ),
inference(resolution,[],[f11706,f2777]) ).
fof(f11706,plain,
( ~ v1_relat_1(u2_lattices(sK25))
| spl34_1155 ),
inference(avatar_component_clause,[],[f11705]) ).
fof(f11708,plain,
( ~ spl34_1154
| spl34_1155
| ~ spl34_72
| ~ spl34_436 ),
inference(avatar_split_clause,[],[f11699,f3059,f880,f11705,f11701]) ).
fof(f3059,plain,
( spl34_436
<=> u2_lattices(sK25) = k4_relat_1(k4_relat_1(u2_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_436])]) ).
fof(f11699,plain,
( v1_relat_1(u2_lattices(sK25))
| ~ v1_relat_1(k4_relat_1(u2_lattices(sK25)))
| ~ spl34_72
| ~ spl34_436 ),
inference(superposition,[],[f881,f3061]) ).
fof(f3061,plain,
( u2_lattices(sK25) = k4_relat_1(k4_relat_1(u2_lattices(sK25)))
| ~ spl34_436 ),
inference(avatar_component_clause,[],[f3059]) ).
fof(f11698,plain,
( spl34_436
| ~ spl34_139
| ~ spl34_673 ),
inference(avatar_split_clause,[],[f5305,f5232,f1164,f3059]) ).
fof(f11689,plain,
( ~ spl34_1152
| ~ spl34_72
| spl34_1151 ),
inference(avatar_split_clause,[],[f11676,f11667,f880,f11671]) ).
fof(f11671,plain,
( spl34_1152
<=> v1_relat_1(u2_lattices(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1152])]) ).
fof(f11667,plain,
( spl34_1151
<=> v1_relat_1(k4_relat_1(u2_lattices(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1151])]) ).
fof(f11676,plain,
( ~ v1_relat_1(u2_lattices(sK22))
| ~ spl34_72
| spl34_1151 ),
inference(resolution,[],[f11669,f881]) ).
fof(f11669,plain,
( ~ v1_relat_1(k4_relat_1(u2_lattices(sK22)))
| spl34_1151 ),
inference(avatar_component_clause,[],[f11667]) ).
fof(f11688,plain,
( ~ spl34_1153
| ~ spl34_131
| spl34_1147 ),
inference(avatar_split_clause,[],[f11658,f11641,f1121,f11685]) ).
fof(f1121,plain,
( spl34_131
<=> ! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_131])]) ).
fof(f11658,plain,
( ~ sP5(k11_conlat_1(sK6))
| ~ spl34_131
| spl34_1147 ),
inference(resolution,[],[f11643,f1122]) ).
fof(f1122,plain,
( ! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP5(X0) )
| ~ spl34_131 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f11677,plain,
( ~ spl34_8
| ~ spl34_386
| spl34_1152 ),
inference(avatar_split_clause,[],[f11675,f11671,f2776,f567]) ).
fof(f11675,plain,
( ~ l2_lattices(sK22)
| ~ spl34_386
| spl34_1152 ),
inference(resolution,[],[f11672,f2777]) ).
fof(f11672,plain,
( ~ v1_relat_1(u2_lattices(sK22))
| spl34_1152 ),
inference(avatar_component_clause,[],[f11671]) ).
fof(f11674,plain,
( ~ spl34_1151
| spl34_1152
| ~ spl34_72
| ~ spl34_433 ),
inference(avatar_split_clause,[],[f11665,f3046,f880,f11671,f11667]) ).
fof(f3046,plain,
( spl34_433
<=> u2_lattices(sK22) = k4_relat_1(k4_relat_1(u2_lattices(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_433])]) ).
fof(f11665,plain,
( v1_relat_1(u2_lattices(sK22))
| ~ v1_relat_1(k4_relat_1(u2_lattices(sK22)))
| ~ spl34_72
| ~ spl34_433 ),
inference(superposition,[],[f881,f3048]) ).
fof(f3048,plain,
( u2_lattices(sK22) = k4_relat_1(k4_relat_1(u2_lattices(sK22)))
| ~ spl34_433 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f11664,plain,
( spl34_433
| ~ spl34_8
| ~ spl34_673 ),
inference(avatar_split_clause,[],[f5304,f5232,f567,f3046]) ).
fof(f11656,plain,
( ~ spl34_1145
| spl34_1
| ~ spl34_2
| spl34_1146
| ~ spl34_1147
| ~ spl34_1148
| spl34_1149
| ~ spl34_1150
| spl34_3
| ~ spl34_1004 ),
inference(avatar_split_clause,[],[f9451,f9429,f542,f11653,f11649,f11645,f11641,f11637,f537,f532,f11633]) ).
fof(f542,plain,
( spl34_3
<=> r1_filter_1(k11_conlat_1(k7_conlat_2(sK6)),k1_lattice2(k11_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).
fof(f9429,plain,
( spl34_1004
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1004])]) ).
fof(f9451,plain,
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(sK6)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(sK6)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(sK6)))
| v3_struct_0(k1_lattice2(k11_conlat_1(sK6)))
| ~ l2_conlat_1(sK6)
| v3_conlat_1(sK6)
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(sK6)))
| spl34_3
| ~ spl34_1004 ),
inference(resolution,[],[f9430,f544]) ).
fof(f544,plain,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK6)),k1_lattice2(k11_conlat_1(sK6)))
| spl34_3 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f9430,plain,
( ! [X0] :
( r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0))) )
| ~ spl34_1004 ),
inference(avatar_component_clause,[],[f9429]) ).
fof(f11582,plain,
( spl34_1144
| ~ spl34_470
| ~ spl34_647
| ~ spl34_822
| ~ spl34_935
| ~ spl34_1131
| ~ spl34_1143 ),
inference(avatar_split_clause,[],[f11578,f11573,f11394,f8446,f6794,f4960,f3284,f11580]) ).
fof(f11580,plain,
( spl34_1144
<=> ! [X2,X0,X1] :
( u3_conlat_1(k7_conlat_2(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1144])]) ).
fof(f3284,plain,
( spl34_470
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k4_relat_1(u3_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_470])]) ).
fof(f6794,plain,
( spl34_822
<=> u3_conlat_1(k7_conlat_2(sK6)) = k4_relat_1(u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_822])]) ).
fof(f8446,plain,
( spl34_935
<=> l2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_935])]) ).
fof(f11573,plain,
( spl34_1143
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1143])]) ).
fof(f11578,plain,
( ! [X2,X0,X1] :
( u3_conlat_1(k7_conlat_2(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_470
| ~ spl34_647
| ~ spl34_822
| ~ spl34_935
| ~ spl34_1131
| ~ spl34_1143 ),
inference(forward_demodulation,[],[f11577,f6796]) ).
fof(f6796,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k4_relat_1(u3_conlat_1(sK6))
| ~ spl34_822 ),
inference(avatar_component_clause,[],[f6794]) ).
fof(f11577,plain,
( ! [X2,X0,X1] :
( k4_relat_1(u3_conlat_1(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_470
| ~ spl34_647
| ~ spl34_935
| ~ spl34_1131
| ~ spl34_1143 ),
inference(forward_demodulation,[],[f11576,f11424]) ).
fof(f11576,plain,
( ! [X2,X0,X1] :
( k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_470
| ~ spl34_935
| ~ spl34_1143 ),
inference(forward_demodulation,[],[f11574,f8506]) ).
fof(f8506,plain,
( k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_470
| ~ spl34_935 ),
inference(resolution,[],[f8448,f3285]) ).
fof(f3285,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k4_relat_1(u3_conlat_1(X0)) )
| ~ spl34_470 ),
inference(avatar_component_clause,[],[f3284]) ).
fof(f8448,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_935 ),
inference(avatar_component_clause,[],[f8446]) ).
fof(f11574,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_1143 ),
inference(avatar_component_clause,[],[f11573]) ).
fof(f11575,plain,
( spl34_1143
| ~ spl34_220
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5170,f5159,f1616,f11573]) ).
fof(f5170,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_665 ),
inference(superposition,[],[f1617,f5161]) ).
fof(f11564,plain,
( spl34_1142
| spl34_392
| ~ spl34_374
| ~ spl34_863 ),
inference(avatar_split_clause,[],[f7728,f7530,f2696,f2815,f11561]) ).
fof(f7530,plain,
( spl34_863
<=> ! [X0] :
( k4_relat_1(u2_lattices(k11_conlat_1(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_863])]) ).
fof(f7728,plain,
( v3_conlat_1(k7_conlat_2(sK6))
| k4_relat_1(u2_lattices(k11_conlat_1(k7_conlat_2(sK6)))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_374
| ~ spl34_863 ),
inference(resolution,[],[f7531,f2698]) ).
fof(f7531,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k4_relat_1(u2_lattices(k11_conlat_1(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0))) )
| ~ spl34_863 ),
inference(avatar_component_clause,[],[f7530]) ).
fof(f11552,plain,
( spl34_1141
| spl34_392
| ~ spl34_374
| ~ spl34_862 ),
inference(avatar_split_clause,[],[f7720,f7526,f2696,f2815,f11549]) ).
fof(f7526,plain,
( spl34_862
<=> ! [X0] :
( k4_relat_1(u1_lattices(k11_conlat_1(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_862])]) ).
fof(f7720,plain,
( v3_conlat_1(k7_conlat_2(sK6))
| k4_relat_1(u1_lattices(k11_conlat_1(k7_conlat_2(sK6)))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6)))),u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_374
| ~ spl34_862 ),
inference(resolution,[],[f7527,f2698]) ).
fof(f7527,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| k4_relat_1(u1_lattices(k11_conlat_1(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))) )
| ~ spl34_862 ),
inference(avatar_component_clause,[],[f7526]) ).
fof(f11518,plain,
( ~ spl34_1138
| spl34_1140
| ~ spl34_188
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5164,f5159,f1424,f11515,f11495]) ).
fof(f1424,plain,
( spl34_188
<=> ! [X2,X0,X1] :
( l2_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_188])]) ).
fof(f5164,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_188
| ~ spl34_665 ),
inference(superposition,[],[f1425,f5161]) ).
fof(f1425,plain,
( ! [X2,X0,X1] :
( l2_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f11509,plain,
( ~ spl34_838
| ~ spl34_584
| ~ spl34_647
| ~ spl34_822
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| spl34_1138 ),
inference(avatar_split_clause,[],[f11507,f11495,f11445,f11394,f11268,f6794,f4960,f4212,f7060]) ).
fof(f7060,plain,
( spl34_838
<=> m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_838])]) ).
fof(f4212,plain,
( spl34_584
<=> k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = k4_relat_1(u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_584])]) ).
fof(f11507,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_584
| ~ spl34_647
| ~ spl34_822
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| spl34_1138 ),
inference(forward_demodulation,[],[f11506,f6796]) ).
fof(f11506,plain,
( ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_584
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| spl34_1138 ),
inference(forward_demodulation,[],[f11505,f4214]) ).
fof(f4214,plain,
( k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = k4_relat_1(u3_conlat_1(sK6))
| ~ spl34_584 ),
inference(avatar_component_clause,[],[f4212]) ).
fof(f11505,plain,
( ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| spl34_1138 ),
inference(forward_demodulation,[],[f11504,f11424]) ).
fof(f11504,plain,
( ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1133
| spl34_1138 ),
inference(forward_demodulation,[],[f11503,f11297]) ).
fof(f11503,plain,
( ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(sK6))
| ~ spl34_1133
| spl34_1138 ),
inference(forward_demodulation,[],[f11497,f11447]) ).
fof(f11497,plain,
( ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| spl34_1138 ),
inference(avatar_component_clause,[],[f11495]) ).
fof(f11502,plain,
( ~ spl34_1138
| spl34_1139
| ~ spl34_186
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5163,f5159,f1415,f11499,f11495]) ).
fof(f11499,plain,
( spl34_1139
<=> v4_conlat_1(k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1139])]) ).
fof(f1415,plain,
( spl34_186
<=> ! [X2,X0,X1] :
( v4_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_186])]) ).
fof(f5163,plain,
( v4_conlat_1(k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_186
| ~ spl34_665 ),
inference(superposition,[],[f1416,f5161]) ).
fof(f1416,plain,
( ! [X2,X0,X1] :
( v4_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_186 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f11492,plain,
( ~ spl34_1134
| spl34_1137
| ~ spl34_220
| ~ spl34_647 ),
inference(avatar_split_clause,[],[f4970,f4960,f1616,f11490,f11468]) ).
fof(f11468,plain,
( spl34_1134
<=> m1_relset_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1134])]) ).
fof(f11490,plain,
( spl34_1137
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1137])]) ).
fof(f4970,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X2
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) )
| ~ spl34_220
| ~ spl34_647 ),
inference(superposition,[],[f1617,f4962]) ).
fof(f11487,plain,
( ~ spl34_1134
| spl34_1136
| ~ spl34_219
| ~ spl34_647 ),
inference(avatar_split_clause,[],[f4968,f4960,f1612,f11485,f11468]) ).
fof(f11485,plain,
( spl34_1136
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1136])]) ).
fof(f4968,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) )
| ~ spl34_219
| ~ spl34_647 ),
inference(superposition,[],[f1613,f4962]) ).
fof(f11478,plain,
( ~ spl34_326
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| spl34_1134 ),
inference(avatar_split_clause,[],[f11477,f11468,f11445,f11394,f11268,f4960,f2367]) ).
fof(f11477,plain,
( ~ m1_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1131
| ~ spl34_1133
| spl34_1134 ),
inference(forward_demodulation,[],[f11476,f11424]) ).
fof(f11476,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_647
| ~ spl34_1123
| ~ spl34_1133
| spl34_1134 ),
inference(forward_demodulation,[],[f11475,f11447]) ).
fof(f11475,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(sK6))
| ~ spl34_647
| ~ spl34_1123
| spl34_1134 ),
inference(forward_demodulation,[],[f11470,f11297]) ).
fof(f11470,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| spl34_1134 ),
inference(avatar_component_clause,[],[f11468]) ).
fof(f11474,plain,
( ~ spl34_1134
| spl34_1135
| ~ spl34_218
| ~ spl34_647 ),
inference(avatar_split_clause,[],[f4966,f4960,f1608,f11472,f11468]) ).
fof(f11472,plain,
( spl34_1135
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1135])]) ).
fof(f4966,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) )
| ~ spl34_218
| ~ spl34_647 ),
inference(superposition,[],[f1609,f4962]) ).
fof(f11448,plain,
( spl34_1133
| ~ spl34_647
| ~ spl34_1122 ),
inference(avatar_split_clause,[],[f11254,f11225,f4960,f11445]) ).
fof(f11225,plain,
( spl34_1122
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK6) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1122])]) ).
fof(f11254,plain,
( u1_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_647
| ~ spl34_1122 ),
inference(trivial_inequality_removal,[],[f11235]) ).
fof(f11235,plain,
( k7_conlat_2(k7_conlat_2(sK6)) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_647
| ~ spl34_1122 ),
inference(superposition,[],[f11226,f4962]) ).
fof(f11226,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK6) = X0 )
| ~ spl34_1122 ),
inference(avatar_component_clause,[],[f11225]) ).
fof(f11443,plain,
( spl34_392
| spl34_1132
| ~ spl34_374
| ~ spl34_858 ),
inference(avatar_split_clause,[],[f7502,f7483,f2696,f11440,f2815]) ).
fof(f11440,plain,
( spl34_1132
<=> k1_lattice2(k11_conlat_1(k7_conlat_2(sK6))) = g3_lattices(u1_struct_0(k1_lattice2(k11_conlat_1(k7_conlat_2(sK6)))),u2_lattices(k1_lattice2(k11_conlat_1(k7_conlat_2(sK6)))),u1_lattices(k1_lattice2(k11_conlat_1(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1132])]) ).
fof(f7483,plain,
( spl34_858
<=> ! [X0] :
( k1_lattice2(k11_conlat_1(X0)) = g3_lattices(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u2_lattices(k1_lattice2(k11_conlat_1(X0))),u1_lattices(k1_lattice2(k11_conlat_1(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_858])]) ).
fof(f7502,plain,
( k1_lattice2(k11_conlat_1(k7_conlat_2(sK6))) = g3_lattices(u1_struct_0(k1_lattice2(k11_conlat_1(k7_conlat_2(sK6)))),u2_lattices(k1_lattice2(k11_conlat_1(k7_conlat_2(sK6)))),u1_lattices(k1_lattice2(k11_conlat_1(k7_conlat_2(sK6)))))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_374
| ~ spl34_858 ),
inference(resolution,[],[f7484,f2698]) ).
fof(f7484,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k1_lattice2(k11_conlat_1(X0)) = g3_lattices(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u2_lattices(k1_lattice2(k11_conlat_1(X0))),u1_lattices(k1_lattice2(k11_conlat_1(X0))))
| v3_conlat_1(X0) )
| ~ spl34_858 ),
inference(avatar_component_clause,[],[f7483]) ).
fof(f11396,plain,
( spl34_1131
| ~ spl34_827
| ~ spl34_1130 ),
inference(avatar_split_clause,[],[f11392,f11389,f6872,f11394]) ).
fof(f6872,plain,
( spl34_827
<=> u3_conlat_1(sK6) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_827])]) ).
fof(f11389,plain,
( spl34_1130
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1130])]) ).
fof(f11392,plain,
( ! [X2,X0,X1] :
( u3_conlat_1(sK6) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6)) )
| ~ spl34_827
| ~ spl34_1130 ),
inference(forward_demodulation,[],[f11390,f6874]) ).
fof(f6874,plain,
( u3_conlat_1(sK6) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_827 ),
inference(avatar_component_clause,[],[f6872]) ).
fof(f11390,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = X2 )
| ~ spl34_1130 ),
inference(avatar_component_clause,[],[f11389]) ).
fof(f11391,plain,
( ~ spl34_1098
| spl34_1130
| ~ spl34_220
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4938,f4913,f1616,f11389,f10860]) ).
fof(f10860,plain,
( spl34_1098
<=> m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1098])]) ).
fof(f4913,plain,
( spl34_646
<=> k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_646])]) ).
fof(f4938,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = X2
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6)) )
| ~ spl34_220
| ~ spl34_646 ),
inference(superposition,[],[f1617,f4915]) ).
fof(f4915,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_646 ),
inference(avatar_component_clause,[],[f4913]) ).
fof(f11360,plain,
( ~ spl34_1126
| spl34_1129
| ~ spl34_220
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4780,f4770,f1616,f11358,f11339]) ).
fof(f11339,plain,
( spl34_1126
<=> m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1126])]) ).
fof(f11358,plain,
( spl34_1129
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u3_conlat_1(k7_conlat_2(sK6)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1129])]) ).
fof(f4770,plain,
( spl34_635
<=> k7_conlat_2(sK6) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_635])]) ).
fof(f4780,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u3_conlat_1(k7_conlat_2(sK6)) = X2
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6))) )
| ~ spl34_220
| ~ spl34_635 ),
inference(superposition,[],[f1617,f4772]) ).
fof(f4772,plain,
( k7_conlat_2(sK6) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_635 ),
inference(avatar_component_clause,[],[f4770]) ).
fof(f11355,plain,
( ~ spl34_1126
| spl34_1128
| ~ spl34_219
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4778,f4770,f1612,f11353,f11339]) ).
fof(f11353,plain,
( spl34_1128
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(k7_conlat_2(sK6)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1128])]) ).
fof(f4778,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(k7_conlat_2(sK6)) = X1
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6))) )
| ~ spl34_219
| ~ spl34_635 ),
inference(superposition,[],[f1613,f4772]) ).
fof(f11348,plain,
( ~ spl34_838
| ~ spl34_640
| ~ spl34_642
| spl34_1126 ),
inference(avatar_split_clause,[],[f11347,f11339,f4883,f4834,f7060]) ).
fof(f4834,plain,
( spl34_640
<=> u1_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_640])]) ).
fof(f4883,plain,
( spl34_642
<=> u2_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_642])]) ).
fof(f11347,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_640
| ~ spl34_642
| spl34_1126 ),
inference(forward_demodulation,[],[f11346,f4885]) ).
fof(f4885,plain,
( u2_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(sK6))
| ~ spl34_642 ),
inference(avatar_component_clause,[],[f4883]) ).
fof(f11346,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6))
| ~ spl34_640
| spl34_1126 ),
inference(forward_demodulation,[],[f11341,f4836]) ).
fof(f4836,plain,
( u1_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(sK6))
| ~ spl34_640 ),
inference(avatar_component_clause,[],[f4834]) ).
fof(f11341,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)))
| spl34_1126 ),
inference(avatar_component_clause,[],[f11339]) ).
fof(f11345,plain,
( ~ spl34_1126
| spl34_1127
| ~ spl34_218
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4776,f4770,f1608,f11343,f11339]) ).
fof(f11343,plain,
( spl34_1127
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(k7_conlat_2(sK6)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1127])]) ).
fof(f4776,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(k7_conlat_2(sK6)) = X0
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6))) )
| ~ spl34_218
| ~ spl34_635 ),
inference(superposition,[],[f1609,f4772]) ).
fof(f11327,plain,
( spl34_1125
| spl34_1
| ~ spl34_2
| ~ spl34_863 ),
inference(avatar_split_clause,[],[f7731,f7530,f537,f532,f11324]) ).
fof(f7731,plain,
( v3_conlat_1(sK6)
| k4_relat_1(u2_lattices(k11_conlat_1(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6)))
| ~ spl34_2
| ~ spl34_863 ),
inference(resolution,[],[f7531,f539]) ).
fof(f11315,plain,
( spl34_1124
| spl34_1
| ~ spl34_2
| ~ spl34_862 ),
inference(avatar_split_clause,[],[f7723,f7526,f537,f532,f11312]) ).
fof(f7723,plain,
( v3_conlat_1(sK6)
| k4_relat_1(u1_lattices(k11_conlat_1(sK6))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(sK6)),u1_struct_0(k11_conlat_1(sK6))),u1_struct_0(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6)))
| ~ spl34_2
| ~ spl34_862 ),
inference(resolution,[],[f7527,f539]) ).
fof(f11270,plain,
( ~ spl34_1098
| spl34_1123
| ~ spl34_219
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4936,f4913,f1612,f11268,f10860]) ).
fof(f4936,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK6) = X1
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6)) )
| ~ spl34_219
| ~ spl34_646 ),
inference(superposition,[],[f1613,f4915]) ).
fof(f11227,plain,
( ~ spl34_1098
| spl34_1122
| ~ spl34_218
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4934,f4913,f1608,f11225,f10860]) ).
fof(f4934,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK6) = X0
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6)) )
| ~ spl34_218
| ~ spl34_646 ),
inference(superposition,[],[f1609,f4915]) ).
fof(f11223,plain,
( ~ spl34_1100
| spl34_1121
| ~ spl34_503
| ~ spl34_639 ),
inference(avatar_split_clause,[],[f4838,f4829,f3515,f11221,f10872]) ).
fof(f10872,plain,
( spl34_1100
<=> m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u2_conlat_1(sK6),u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1100])]) ).
fof(f11221,plain,
( spl34_1121
<=> ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(k7_conlat_2(sK6)))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1121])]) ).
fof(f3515,plain,
( spl34_503
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_503])]) ).
fof(f4829,plain,
( spl34_639
<=> u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_639])]) ).
fof(f4838,plain,
( ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(k7_conlat_2(sK6)))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6)))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u2_conlat_1(sK6),u1_conlat_1(sK6)) )
| ~ spl34_503
| ~ spl34_639 ),
inference(superposition,[],[f3516,f4831]) ).
fof(f4831,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_639 ),
inference(avatar_component_clause,[],[f4829]) ).
fof(f3516,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) )
| ~ spl34_503 ),
inference(avatar_component_clause,[],[f3515]) ).
fof(f11218,plain,
( ~ spl34_838
| spl34_1120
| ~ spl34_503
| ~ spl34_637 ),
inference(avatar_split_clause,[],[f4816,f4812,f3515,f11216,f7060]) ).
fof(f11216,plain,
( spl34_1120
<=> ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1120])]) ).
fof(f4812,plain,
( spl34_637
<=> k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_637])]) ).
fof(f4816,plain,
( ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6)))
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) )
| ~ spl34_503
| ~ spl34_637 ),
inference(superposition,[],[f3516,f4814]) ).
fof(f4814,plain,
( k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_637 ),
inference(avatar_component_clause,[],[f4812]) ).
fof(f11173,plain,
( spl34_1119
| ~ spl34_262
| ~ spl34_709 ),
inference(avatar_split_clause,[],[f5621,f5508,f1916,f11171]) ).
fof(f11171,plain,
( spl34_1119
<=> ! [X0,X1] : v1_relat_1(k4_relat_1(sK16(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1119])]) ).
fof(f5508,plain,
( spl34_709
<=> ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK16(X0,X1)))
| ~ m1_relset_1(sK16(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_709])]) ).
fof(f5621,plain,
( ! [X0,X1] : v1_relat_1(k4_relat_1(sK16(X0,X1)))
| ~ spl34_262
| ~ spl34_709 ),
inference(resolution,[],[f5509,f1917]) ).
fof(f5509,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK16(X0,X1),X0,X1)
| v1_relat_1(k4_relat_1(sK16(X0,X1))) )
| ~ spl34_709 ),
inference(avatar_component_clause,[],[f5508]) ).
fof(f11169,plain,
( spl34_1118
| ~ spl34_150
| ~ spl34_708 ),
inference(avatar_split_clause,[],[f5618,f5504,f1211,f11167]) ).
fof(f11167,plain,
( spl34_1118
<=> ! [X0,X1] : v1_relat_1(k4_relat_1(sK18(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1118])]) ).
fof(f5504,plain,
( spl34_708
<=> ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK18(X0,X1)))
| ~ m1_relset_1(sK18(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_708])]) ).
fof(f5618,plain,
( ! [X0,X1] : v1_relat_1(k4_relat_1(sK18(X0,X1)))
| ~ spl34_150
| ~ spl34_708 ),
inference(resolution,[],[f5505,f1212]) ).
fof(f5505,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| v1_relat_1(k4_relat_1(sK18(X0,X1))) )
| ~ spl34_708 ),
inference(avatar_component_clause,[],[f5504]) ).
fof(f11165,plain,
( spl34_1117
| ~ spl34_148
| ~ spl34_707 ),
inference(avatar_split_clause,[],[f5616,f5500,f1202,f11163]) ).
fof(f11163,plain,
( spl34_1117
<=> ! [X0,X1] : v1_relat_1(k4_relat_1(sK17(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1117])]) ).
fof(f5500,plain,
( spl34_707
<=> ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK17(X0,X1)))
| ~ m1_relset_1(sK17(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_707])]) ).
fof(f5616,plain,
( ! [X0,X1] : v1_relat_1(k4_relat_1(sK17(X0,X1)))
| ~ spl34_148
| ~ spl34_707 ),
inference(resolution,[],[f5501,f1203]) ).
fof(f5501,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| v1_relat_1(k4_relat_1(sK17(X0,X1))) )
| ~ spl34_707 ),
inference(avatar_component_clause,[],[f5500]) ).
fof(f11161,plain,
( spl34_1116
| ~ spl34_146
| ~ spl34_706 ),
inference(avatar_split_clause,[],[f5614,f5496,f1194,f11159]) ).
fof(f11159,plain,
( spl34_1116
<=> ! [X0,X1] : v1_relat_1(k4_relat_1(sK15(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1116])]) ).
fof(f5496,plain,
( spl34_706
<=> ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK15(X0,X1)))
| ~ m1_relset_1(sK15(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_706])]) ).
fof(f5614,plain,
( ! [X0,X1] : v1_relat_1(k4_relat_1(sK15(X0,X1)))
| ~ spl34_146
| ~ spl34_706 ),
inference(resolution,[],[f5497,f1195]) ).
fof(f5497,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| v1_relat_1(k4_relat_1(sK15(X0,X1))) )
| ~ spl34_706 ),
inference(avatar_component_clause,[],[f5496]) ).
fof(f11152,plain,
( spl34_1115
| ~ spl34_251
| ~ spl34_1112 ),
inference(avatar_split_clause,[],[f11136,f11124,f1822,f11149]) ).
fof(f11149,plain,
( spl34_1115
<=> sK26 = u3_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1115])]) ).
fof(f11124,plain,
( spl34_1112
<=> v1_xboole_0(u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1112])]) ).
fof(f11136,plain,
( sK26 = u3_conlat_1(sK6)
| ~ spl34_251
| ~ spl34_1112 ),
inference(resolution,[],[f11126,f1823]) ).
fof(f11126,plain,
( v1_xboole_0(u3_conlat_1(sK6))
| ~ spl34_1112 ),
inference(avatar_component_clause,[],[f11124]) ).
fof(f11147,plain,
( spl34_1114
| ~ spl34_4
| ~ spl34_238
| ~ spl34_650 ),
inference(avatar_split_clause,[],[f5129,f5030,f1751,f547,f11144]) ).
fof(f11144,plain,
( spl34_1114
<=> sK26 = sK12(k1_zfmisc_1(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1114])]) ).
fof(f547,plain,
( spl34_4
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f1751,plain,
( spl34_238
<=> k1_xboole_0 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_238])]) ).
fof(f5129,plain,
( sK26 = sK12(k1_zfmisc_1(sK26))
| ~ spl34_4
| ~ spl34_238
| ~ spl34_650 ),
inference(forward_demodulation,[],[f5125,f1753]) ).
fof(f1753,plain,
( k1_xboole_0 = sK26
| ~ spl34_238 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f5125,plain,
( sK26 = sK12(k1_zfmisc_1(k1_xboole_0))
| ~ spl34_4
| ~ spl34_650 ),
inference(resolution,[],[f5031,f549]) ).
fof(f549,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl34_4 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f11131,plain,
( spl34_1112
| spl34_1113
| ~ spl34_838
| ~ spl34_573
| ~ spl34_822
| ~ spl34_840 ),
inference(avatar_split_clause,[],[f7162,f7069,f6794,f4129,f7060,f11128,f11124]) ).
fof(f11128,plain,
( spl34_1113
<=> m1_subset_1(sK12(u3_conlat_1(sK6)),k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1113])]) ).
fof(f4129,plain,
( spl34_573
<=> u3_conlat_1(sK6) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_573])]) ).
fof(f7069,plain,
( spl34_840
<=> ! [X2,X0,X1] :
( m1_subset_1(sK12(k6_relset_1(X0,X1,X2)),k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(k6_relset_1(X0,X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_840])]) ).
fof(f7162,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| m1_subset_1(sK12(u3_conlat_1(sK6)),k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6)))
| v1_xboole_0(u3_conlat_1(sK6))
| ~ spl34_573
| ~ spl34_822
| ~ spl34_840 ),
inference(forward_demodulation,[],[f7128,f6796]) ).
fof(f7128,plain,
( m1_subset_1(sK12(u3_conlat_1(sK6)),k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6)))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| v1_xboole_0(u3_conlat_1(sK6))
| ~ spl34_573
| ~ spl34_840 ),
inference(superposition,[],[f7070,f4131]) ).
fof(f4131,plain,
( u3_conlat_1(sK6) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_573 ),
inference(avatar_component_clause,[],[f4129]) ).
fof(f7070,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK12(k6_relset_1(X0,X1,X2)),k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(k6_relset_1(X0,X1,X2)) )
| ~ spl34_840 ),
inference(avatar_component_clause,[],[f7069]) ).
fof(f11122,plain,
( ~ spl34_1098
| spl34_1110
| ~ spl34_1111
| ~ spl34_509
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4949,f4913,f3545,f11119,f11115,f10860]) ).
fof(f11115,plain,
( spl34_1110
<=> u2_conlat_1(sK28) = u1_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1110])]) ).
fof(f11119,plain,
( spl34_1111
<=> k7_conlat_2(sK28) = k7_conlat_2(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1111])]) ).
fof(f4949,plain,
( k7_conlat_2(sK28) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK28) = u1_conlat_1(sK6)
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_509
| ~ spl34_646 ),
inference(superposition,[],[f3546,f4915]) ).
fof(f11015,plain,
( spl34_392
| ~ spl34_381
| spl34_1109
| ~ spl34_192
| ~ spl34_640 ),
inference(avatar_split_clause,[],[f4920,f4834,f1455,f11012,f2744,f2815]) ).
fof(f2744,plain,
( spl34_381
<=> l1_conlat_1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_381])]) ).
fof(f11012,plain,
( spl34_1109
<=> m1_subset_1(sK8(k7_conlat_2(sK6)),k1_zfmisc_1(u1_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1109])]) ).
fof(f1455,plain,
( spl34_192
<=> ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_192])]) ).
fof(f4920,plain,
( m1_subset_1(sK8(k7_conlat_2(sK6)),k1_zfmisc_1(u1_conlat_1(sK6)))
| ~ l1_conlat_1(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_192
| ~ spl34_640 ),
inference(superposition,[],[f1456,f4836]) ).
fof(f1456,plain,
( ! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_192 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f11010,plain,
( spl34_1
| spl34_1108
| ~ spl34_2
| ~ spl34_858 ),
inference(avatar_split_clause,[],[f7505,f7483,f537,f11007,f532]) ).
fof(f11007,plain,
( spl34_1108
<=> k1_lattice2(k11_conlat_1(sK6)) = g3_lattices(u1_struct_0(k1_lattice2(k11_conlat_1(sK6))),u2_lattices(k1_lattice2(k11_conlat_1(sK6))),u1_lattices(k1_lattice2(k11_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1108])]) ).
fof(f7505,plain,
( k1_lattice2(k11_conlat_1(sK6)) = g3_lattices(u1_struct_0(k1_lattice2(k11_conlat_1(sK6))),u2_lattices(k1_lattice2(k11_conlat_1(sK6))),u1_lattices(k1_lattice2(k11_conlat_1(sK6))))
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_858 ),
inference(resolution,[],[f7484,f539]) ).
fof(f11005,plain,
( spl34_1107
| ~ spl34_219
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5168,f5159,f1612,f11003]) ).
fof(f11003,plain,
( spl34_1107
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1107])]) ).
fof(f5168,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_665 ),
inference(superposition,[],[f1613,f5161]) ).
fof(f11001,plain,
( spl34_1106
| ~ spl34_218
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5166,f5159,f1608,f10999]) ).
fof(f10999,plain,
( spl34_1106
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1106])]) ).
fof(f5166,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_665 ),
inference(superposition,[],[f1609,f5161]) ).
fof(f10898,plain,
( spl34_1105
| ~ spl34_220
| ~ spl34_647 ),
inference(avatar_split_clause,[],[f4971,f4960,f1616,f10896]) ).
fof(f10896,plain,
( spl34_1105
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1105])]) ).
fof(f4971,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_647 ),
inference(superposition,[],[f1617,f4962]) ).
fof(f10894,plain,
( spl34_1104
| ~ spl34_219
| ~ spl34_647 ),
inference(avatar_split_clause,[],[f4969,f4960,f1612,f10892]) ).
fof(f10892,plain,
( spl34_1104
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1104])]) ).
fof(f4969,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_647 ),
inference(superposition,[],[f1613,f4962]) ).
fof(f10890,plain,
( spl34_1103
| ~ spl34_218
| ~ spl34_647 ),
inference(avatar_split_clause,[],[f4967,f4960,f1608,f10888]) ).
fof(f10888,plain,
( spl34_1103
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1103])]) ).
fof(f4967,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_647 ),
inference(superposition,[],[f1609,f4962]) ).
fof(f10885,plain,
( spl34_1102
| ~ spl34_220
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4939,f4913,f1616,f10883]) ).
fof(f10883,plain,
( spl34_1102
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1102])]) ).
fof(f4939,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_646 ),
inference(superposition,[],[f1617,f4915]) ).
fof(f10881,plain,
( ~ spl34_1100
| spl34_1101
| ~ spl34_199
| ~ spl34_639 ),
inference(avatar_split_clause,[],[f4842,f4829,f1506,f10878,f10872]) ).
fof(f10878,plain,
( spl34_1101
<=> m2_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1101])]) ).
fof(f4842,plain,
( m2_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_199
| ~ spl34_639 ),
inference(superposition,[],[f1507,f4831]) ).
fof(f10875,plain,
( ~ spl34_1100
| spl34_1092
| ~ spl34_304
| ~ spl34_639 ),
inference(avatar_split_clause,[],[f4841,f4829,f2142,f10723,f10872]) ).
fof(f10723,plain,
( spl34_1092
<=> m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1092])]) ).
fof(f4841,plain,
( m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_304
| ~ spl34_639 ),
inference(superposition,[],[f2143,f4831]) ).
fof(f10869,plain,
( ~ spl34_838
| spl34_1099
| ~ spl34_199
| ~ spl34_637 ),
inference(avatar_split_clause,[],[f4820,f4812,f1506,f10866,f7060]) ).
fof(f10866,plain,
( spl34_1099
<=> m2_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1099])]) ).
fof(f4820,plain,
( m2_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_199
| ~ spl34_637 ),
inference(superposition,[],[f1507,f4814]) ).
fof(f10863,plain,
( ~ spl34_838
| spl34_1098
| ~ spl34_304
| ~ spl34_637 ),
inference(avatar_split_clause,[],[f4819,f4812,f2142,f10860,f7060]) ).
fof(f4819,plain,
( m1_relset_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_304
| ~ spl34_637 ),
inference(superposition,[],[f2143,f4814]) ).
fof(f10749,plain,
( spl34_1097
| ~ spl34_219
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4937,f4913,f1612,f10747]) ).
fof(f10747,plain,
( spl34_1097
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK6) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1097])]) ).
fof(f4937,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK6) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_646 ),
inference(superposition,[],[f1613,f4915]) ).
fof(f10745,plain,
( spl34_1096
| ~ spl34_218
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4935,f4913,f1608,f10743]) ).
fof(f10743,plain,
( spl34_1096
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK6) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1096])]) ).
fof(f4935,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK6) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_646 ),
inference(superposition,[],[f1609,f4915]) ).
fof(f10741,plain,
( spl34_1095
| ~ spl34_220
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4781,f4770,f1616,f10739]) ).
fof(f10739,plain,
( spl34_1095
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u3_conlat_1(k7_conlat_2(sK6)) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1095])]) ).
fof(f4781,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u3_conlat_1(k7_conlat_2(sK6)) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_635 ),
inference(superposition,[],[f1617,f4772]) ).
fof(f10735,plain,
( spl34_1094
| ~ spl34_219
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4779,f4770,f1612,f10733]) ).
fof(f10733,plain,
( spl34_1094
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(k7_conlat_2(sK6)) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1094])]) ).
fof(f4779,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(k7_conlat_2(sK6)) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_635 ),
inference(superposition,[],[f1613,f4772]) ).
fof(f10730,plain,
( spl34_1093
| ~ spl34_218
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4777,f4770,f1608,f10728]) ).
fof(f10728,plain,
( spl34_1093
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(k7_conlat_2(sK6)) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1093])]) ).
fof(f4777,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(k7_conlat_2(sK6)) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_635 ),
inference(superposition,[],[f1609,f4772]) ).
fof(f10726,plain,
( ~ spl34_1092
| ~ spl34_822
| spl34_1091 ),
inference(avatar_split_clause,[],[f10721,f10717,f6794,f10723]) ).
fof(f10717,plain,
( spl34_1091
<=> m1_relset_1(k4_relat_1(u3_conlat_1(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1091])]) ).
fof(f10721,plain,
( ~ m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_822
| spl34_1091 ),
inference(forward_demodulation,[],[f10718,f6796]) ).
fof(f10718,plain,
( ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6))
| spl34_1091 ),
inference(avatar_component_clause,[],[f10717]) ).
fof(f10720,plain,
( ~ spl34_1090
| spl34_1091
| ~ spl34_304
| ~ spl34_644 ),
inference(avatar_split_clause,[],[f4903,f4896,f2142,f10717,f10713]) ).
fof(f10713,plain,
( spl34_1090
<=> m1_relset_1(u3_conlat_1(sK6),u2_conlat_1(sK6),u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1090])]) ).
fof(f4896,plain,
( spl34_644
<=> k4_relat_1(u3_conlat_1(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_644])]) ).
fof(f4903,plain,
( m1_relset_1(k4_relat_1(u3_conlat_1(sK6)),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ m1_relset_1(u3_conlat_1(sK6),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_304
| ~ spl34_644 ),
inference(superposition,[],[f2143,f4898]) ).
fof(f4898,plain,
( k4_relat_1(u3_conlat_1(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(sK6))
| ~ spl34_644 ),
inference(avatar_component_clause,[],[f4896]) ).
fof(f10704,plain,
( spl34_1089
| ~ spl34_584
| ~ spl34_822
| ~ spl34_1088 ),
inference(avatar_split_clause,[],[f10699,f10694,f6794,f4212,f10701]) ).
fof(f10701,plain,
( spl34_1089
<=> u3_conlat_1(sK6) = k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1089])]) ).
fof(f10694,plain,
( spl34_1088
<=> u3_conlat_1(sK6) = k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1088])]) ).
fof(f10699,plain,
( u3_conlat_1(sK6) = k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_584
| ~ spl34_822
| ~ spl34_1088 ),
inference(forward_demodulation,[],[f10698,f6796]) ).
fof(f10698,plain,
( u3_conlat_1(sK6) = k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_584
| ~ spl34_1088 ),
inference(forward_demodulation,[],[f10696,f4214]) ).
fof(f10696,plain,
( u3_conlat_1(sK6) = k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))
| ~ spl34_1088 ),
inference(avatar_component_clause,[],[f10694]) ).
fof(f10697,plain,
( spl34_1088
| ~ spl34_208
| ~ spl34_326 ),
inference(avatar_split_clause,[],[f2490,f2367,f1548,f10694]) ).
fof(f1548,plain,
( spl34_208
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_208])]) ).
fof(f2490,plain,
( u3_conlat_1(sK6) = k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))
| ~ spl34_208
| ~ spl34_326 ),
inference(resolution,[],[f2368,f1549]) ).
fof(f1549,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 )
| ~ spl34_208 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f10692,plain,
( spl34_1086
| ~ spl34_1087
| ~ spl34_389
| ~ spl34_979 ),
inference(avatar_split_clause,[],[f9045,f9027,f2795,f10689,f10685]) ).
fof(f10685,plain,
( spl34_1086
<=> u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1086])]) ).
fof(f10689,plain,
( spl34_1087
<=> k7_conlat_2(sK6) = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1087])]) ).
fof(f2795,plain,
( spl34_389
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(sK6) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_389])]) ).
fof(f9045,plain,
( k7_conlat_2(sK6) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28)))
| u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28)))
| ~ spl34_389
| ~ spl34_979 ),
inference(superposition,[],[f2796,f9029]) ).
fof(f2796,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(sK6) = X0 )
| ~ spl34_389 ),
inference(avatar_component_clause,[],[f2795]) ).
fof(f10683,plain,
( spl34_1084
| ~ spl34_1085
| ~ spl34_389
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5177,f5159,f2795,f10680,f10676]) ).
fof(f10676,plain,
( spl34_1084
<=> u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1084])]) ).
fof(f10680,plain,
( spl34_1085
<=> k7_conlat_2(sK6) = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1085])]) ).
fof(f5177,plain,
( k7_conlat_2(sK6) != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_389
| ~ spl34_665 ),
inference(superposition,[],[f2796,f5161]) ).
fof(f10674,plain,
( spl34_1082
| ~ spl34_1083
| ~ spl34_524
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5183,f5159,f3659,f10671,f10667]) ).
fof(f10667,plain,
( spl34_1082
<=> u1_conlat_1(sK29) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1082])]) ).
fof(f10671,plain,
( spl34_1083
<=> sK29 = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1083])]) ).
fof(f5183,plain,
( sK29 != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u1_conlat_1(sK29) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_524
| ~ spl34_665 ),
inference(superposition,[],[f3660,f5161]) ).
fof(f10665,plain,
( spl34_1080
| ~ spl34_1081
| ~ spl34_522
| ~ spl34_665 ),
inference(avatar_split_clause,[],[f5182,f5159,f3650,f10662,f10658]) ).
fof(f10658,plain,
( spl34_1080
<=> u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1080])]) ).
fof(f10662,plain,
( spl34_1081
<=> sK28 = k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1081])]) ).
fof(f5182,plain,
( sK28 != k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6)))
| u1_conlat_1(sK28) = u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_522
| ~ spl34_665 ),
inference(superposition,[],[f3651,f5161]) ).
fof(f10656,plain,
( spl34_1079
| ~ spl34_316
| ~ spl34_849 ),
inference(avatar_split_clause,[],[f7427,f7334,f2276,f10654]) ).
fof(f10654,plain,
( spl34_1079
<=> ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(k7_conlat_2(sK6)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK6),u1_conlat_1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1079])]) ).
fof(f7334,plain,
( spl34_849
<=> m2_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_849])]) ).
fof(f7427,plain,
( ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(k7_conlat_2(sK6)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK6),u1_conlat_1(sK6))) )
| ~ spl34_316
| ~ spl34_849 ),
inference(resolution,[],[f7336,f2277]) ).
fof(f7336,plain,
( m2_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_849 ),
inference(avatar_component_clause,[],[f7334]) ).
fof(f10616,plain,
( spl34_1078
| ~ spl34_267
| ~ spl34_698 ),
inference(avatar_split_clause,[],[f5464,f5404,f1937,f10613]) ).
fof(f10613,plain,
( spl34_1078
<=> v1_relat_1(u1_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1078])]) ).
fof(f1937,plain,
( spl34_267
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_267])]) ).
fof(f5464,plain,
( v1_relat_1(u1_lattices(sK33))
| ~ spl34_267
| ~ spl34_698 ),
inference(resolution,[],[f5406,f1938]) ).
fof(f1938,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl34_267 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f10611,plain,
( spl34_1077
| ~ spl34_267
| ~ spl34_697 ),
inference(avatar_split_clause,[],[f5460,f5399,f1937,f10608]) ).
fof(f10608,plain,
( spl34_1077
<=> v1_relat_1(u2_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1077])]) ).
fof(f5460,plain,
( v1_relat_1(u2_lattices(sK33))
| ~ spl34_267
| ~ spl34_697 ),
inference(resolution,[],[f5401,f1938]) ).
fof(f10606,plain,
( spl34_1076
| ~ spl34_267
| ~ spl34_692 ),
inference(avatar_split_clause,[],[f5440,f5374,f1937,f10603]) ).
fof(f10603,plain,
( spl34_1076
<=> v1_relat_1(u1_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1076])]) ).
fof(f5440,plain,
( v1_relat_1(u1_lattices(sK30))
| ~ spl34_267
| ~ spl34_692 ),
inference(resolution,[],[f5376,f1938]) ).
fof(f10601,plain,
( spl34_1075
| ~ spl34_267
| ~ spl34_691 ),
inference(avatar_split_clause,[],[f5436,f5369,f1937,f10598]) ).
fof(f10598,plain,
( spl34_1075
<=> v1_relat_1(u2_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1075])]) ).
fof(f5436,plain,
( v1_relat_1(u2_lattices(sK30))
| ~ spl34_267
| ~ spl34_691 ),
inference(resolution,[],[f5371,f1938]) ).
fof(f10596,plain,
( spl34_1074
| ~ spl34_267
| ~ spl34_664 ),
inference(avatar_split_clause,[],[f5156,f5119,f1937,f10593]) ).
fof(f10593,plain,
( spl34_1074
<=> v1_relat_1(u3_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1074])]) ).
fof(f5156,plain,
( v1_relat_1(u3_conlat_1(sK29))
| ~ spl34_267
| ~ spl34_664 ),
inference(resolution,[],[f5121,f1938]) ).
fof(f10591,plain,
( spl34_1073
| ~ spl34_267
| ~ spl34_663 ),
inference(avatar_split_clause,[],[f5152,f5114,f1937,f10588]) ).
fof(f10588,plain,
( spl34_1073
<=> v1_relat_1(u3_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1073])]) ).
fof(f5152,plain,
( v1_relat_1(u3_conlat_1(sK28))
| ~ spl34_267
| ~ spl34_663 ),
inference(resolution,[],[f5116,f1938]) ).
fof(f10578,plain,
( ~ spl34_662
| ~ spl34_72
| spl34_661 ),
inference(avatar_split_clause,[],[f5112,f5103,f880,f5107]) ).
fof(f5107,plain,
( spl34_662
<=> v1_relat_1(u2_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_662])]) ).
fof(f5103,plain,
( spl34_661
<=> v1_relat_1(k4_relat_1(u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_661])]) ).
fof(f5112,plain,
( ~ v1_relat_1(u2_lattices(sK32))
| ~ spl34_72
| spl34_661 ),
inference(resolution,[],[f5105,f881]) ).
fof(f5105,plain,
( ~ v1_relat_1(k4_relat_1(u2_lattices(sK32)))
| spl34_661 ),
inference(avatar_component_clause,[],[f5103]) ).
fof(f10569,plain,
( ~ spl34_660
| ~ spl34_72
| spl34_659 ),
inference(avatar_split_clause,[],[f5096,f5087,f880,f5091]) ).
fof(f5091,plain,
( spl34_660
<=> v1_relat_1(u2_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_660])]) ).
fof(f5087,plain,
( spl34_659
<=> v1_relat_1(k4_relat_1(u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_659])]) ).
fof(f5096,plain,
( ~ v1_relat_1(u2_lattices(sK31))
| ~ spl34_72
| spl34_659 ),
inference(resolution,[],[f5089,f881]) ).
fof(f5089,plain,
( ~ v1_relat_1(k4_relat_1(u2_lattices(sK31)))
| spl34_659 ),
inference(avatar_component_clause,[],[f5087]) ).
fof(f10560,plain,
( ~ spl34_658
| ~ spl34_72
| spl34_657 ),
inference(avatar_split_clause,[],[f5085,f5076,f880,f5080]) ).
fof(f5080,plain,
( spl34_658
<=> v1_relat_1(u1_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_658])]) ).
fof(f5076,plain,
( spl34_657
<=> v1_relat_1(k4_relat_1(u1_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_657])]) ).
fof(f5085,plain,
( ~ v1_relat_1(u1_lattices(sK32))
| ~ spl34_72
| spl34_657 ),
inference(resolution,[],[f5078,f881]) ).
fof(f5078,plain,
( ~ v1_relat_1(k4_relat_1(u1_lattices(sK32)))
| spl34_657 ),
inference(avatar_component_clause,[],[f5076]) ).
fof(f10557,plain,
( spl34_1072
| ~ spl34_205
| ~ spl34_570 ),
inference(avatar_split_clause,[],[f4120,f4108,f1536,f10555]) ).
fof(f10555,plain,
( spl34_1072
<=> ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)) = g3_lattices(u1_struct_0(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))),u2_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))),u1_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))))
| ~ l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1072])]) ).
fof(f1536,plain,
( spl34_205
<=> ! [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,[spl34_205])]) ).
fof(f4108,plain,
( spl34_570
<=> ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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,[spl34_570])]) ).
fof(f4120,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)) = g3_lattices(u1_struct_0(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))),u2_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))),u1_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))))
| ~ l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) )
| ~ spl34_205
| ~ spl34_570 ),
inference(resolution,[],[f4109,f1537]) ).
fof(f1537,plain,
( ! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) )
| ~ spl34_205 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f4109,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_570 ),
inference(avatar_component_clause,[],[f4108]) ).
fof(f10545,plain,
( ~ spl34_656
| ~ spl34_72
| spl34_655 ),
inference(avatar_split_clause,[],[f5074,f5065,f880,f5069]) ).
fof(f5069,plain,
( spl34_656
<=> v1_relat_1(u1_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_656])]) ).
fof(f5065,plain,
( spl34_655
<=> v1_relat_1(k4_relat_1(u1_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_655])]) ).
fof(f5074,plain,
( ~ v1_relat_1(u1_lattices(sK31))
| ~ spl34_72
| spl34_655 ),
inference(resolution,[],[f5067,f881]) ).
fof(f5067,plain,
( ~ v1_relat_1(k4_relat_1(u1_lattices(sK31)))
| spl34_655 ),
inference(avatar_component_clause,[],[f5065]) ).
fof(f10532,plain,
( spl34_1071
| ~ spl34_514
| ~ spl34_571 ),
inference(avatar_split_clause,[],[f4121,f4112,f3568,f10530]) ).
fof(f10530,plain,
( spl34_1071
<=> ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) = g3_lattices(u1_struct_0(k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))),u2_lattices(k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))),u1_lattices(k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1071])]) ).
fof(f3568,plain,
( spl34_514
<=> ! [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,[spl34_514])]) ).
fof(f4112,plain,
( spl34_571
<=> ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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,[spl34_571])]) ).
fof(f4121,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) = g3_lattices(u1_struct_0(k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))),u2_lattices(k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))),u1_lattices(k1_lattice2(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))))) )
| ~ spl34_514
| ~ spl34_571 ),
inference(resolution,[],[f4113,f3569]) ).
fof(f3569,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))) )
| ~ spl34_514 ),
inference(avatar_component_clause,[],[f3568]) ).
fof(f4113,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_571 ),
inference(avatar_component_clause,[],[f4112]) ).
fof(f10526,plain,
( spl34_1070
| ~ spl34_207
| ~ spl34_569 ),
inference(avatar_split_clause,[],[f4115,f4104,f1544,f10524]) ).
fof(f10524,plain,
( spl34_1070
<=> ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| k10_conlat_2(X0) = k6_relset_1(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),k6_relset_1(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),k10_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1070])]) ).
fof(f1544,plain,
( spl34_207
<=> ! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_207])]) ).
fof(f4104,plain,
( spl34_569
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0)
| k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_569])]) ).
fof(f4115,plain,
( ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| k10_conlat_2(X0) = k6_relset_1(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),k6_relset_1(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),k10_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207
| ~ spl34_569 ),
inference(resolution,[],[f4105,f1545]) ).
fof(f1545,plain,
( ! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f4105,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X2,X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2)) = X2 )
| ~ spl34_569 ),
inference(avatar_component_clause,[],[f4104]) ).
fof(f10494,plain,
( spl34_1069
| ~ spl34_188
| ~ spl34_563 ),
inference(avatar_split_clause,[],[f4047,f4031,f1424,f10492]) ).
fof(f10492,plain,
( spl34_1069
<=> ! [X2,X0,X1] :
( k7_conlat_2(k7_conlat_2(g2_conlat_1(X0,X1,X2))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u1_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),k6_relset_1(u1_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u2_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u3_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2)))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1069])]) ).
fof(f4031,plain,
( spl34_563
<=> ! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_563])]) ).
fof(f4047,plain,
( ! [X2,X0,X1] :
( k7_conlat_2(k7_conlat_2(g2_conlat_1(X0,X1,X2))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u1_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),k6_relset_1(u1_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u2_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u3_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2)))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_563 ),
inference(resolution,[],[f4032,f1425]) ).
fof(f4032,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| v3_conlat_1(X0) )
| ~ spl34_563 ),
inference(avatar_component_clause,[],[f4031]) ).
fof(f10470,plain,
( spl34_1068
| ~ spl34_151
| ~ spl34_582 ),
inference(avatar_split_clause,[],[f4204,f4193,f1215,f10468]) ).
fof(f10468,plain,
( spl34_1068
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u1_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1068])]) ).
fof(f1215,plain,
( spl34_151
<=> ! [X0,X1] : v1_funct_2(sK18(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_151])]) ).
fof(f4193,plain,
( spl34_582
<=> ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_582])]) ).
fof(f4204,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u1_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl34_151
| ~ spl34_582 ),
inference(resolution,[],[f4194,f1216]) ).
fof(f1216,plain,
( ! [X0,X1] : v1_funct_2(sK18(X0,X1),X0,X1)
| ~ spl34_151 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f4194,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,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))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl34_582 ),
inference(avatar_component_clause,[],[f4193]) ).
fof(f10466,plain,
( spl34_1067
| ~ spl34_151
| ~ spl34_581 ),
inference(avatar_split_clause,[],[f4200,f4189,f1215,f10464]) ).
fof(f10464,plain,
( spl34_1067
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u2_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1067])]) ).
fof(f4189,plain,
( spl34_581
<=> ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_581])]) ).
fof(f4200,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u2_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl34_151
| ~ spl34_581 ),
inference(resolution,[],[f4190,f1216]) ).
fof(f4190,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,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))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl34_581 ),
inference(avatar_component_clause,[],[f4189]) ).
fof(f10462,plain,
( spl34_1066
| ~ spl34_321
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4069,f4035,f2296,f10460]) ).
fof(f10460,plain,
( spl34_1066
<=> ! [X0] :
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1066])]) ).
fof(f4069,plain,
( ! [X0] :
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_564 ),
inference(resolution,[],[f4036,f2297]) ).
fof(f10458,plain,
( spl34_1065
| ~ spl34_320
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4068,f4035,f2292,f10456]) ).
fof(f10456,plain,
( spl34_1065
<=> ! [X0] :
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1065])]) ).
fof(f4068,plain,
( ! [X0] :
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_564 ),
inference(resolution,[],[f4036,f2293]) ).
fof(f10153,plain,
( spl34_1064
| ~ spl34_564
| ~ spl34_625 ),
inference(avatar_split_clause,[],[f4718,f4447,f4035,f10150]) ).
fof(f10150,plain,
( spl34_1064
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1064])]) ).
fof(f4718,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))))
| ~ spl34_564
| ~ spl34_625 ),
inference(resolution,[],[f4448,f4036]) ).
fof(f4448,plain,
( m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_625 ),
inference(avatar_component_clause,[],[f4447]) ).
fof(f10132,plain,
( spl34_1063
| ~ spl34_251
| ~ spl34_913
| ~ spl34_1062 ),
inference(avatar_split_clause,[],[f10127,f10123,f8068,f1822,f10129]) ).
fof(f10129,plain,
( spl34_1063
<=> g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1063])]) ).
fof(f8068,plain,
( spl34_913
<=> v1_xboole_0(u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_913])]) ).
fof(f10123,plain,
( spl34_1062
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1062])]) ).
fof(f10127,plain,
( g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK33))))
| ~ spl34_251
| ~ spl34_913
| ~ spl34_1062 ),
inference(forward_demodulation,[],[f10125,f8480]) ).
fof(f8480,plain,
( sK26 = u1_struct_0(sK33)
| ~ spl34_251
| ~ spl34_913 ),
inference(resolution,[],[f8070,f1823]) ).
fof(f8070,plain,
( v1_xboole_0(u1_struct_0(sK33))
| ~ spl34_913 ),
inference(avatar_component_clause,[],[f8068]) ).
fof(f10125,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))))
| ~ spl34_1062 ),
inference(avatar_component_clause,[],[f10123]) ).
fof(f10126,plain,
( spl34_1062
| ~ spl34_564
| ~ spl34_622 ),
inference(avatar_split_clause,[],[f4690,f4435,f4035,f10123]) ).
fof(f4690,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))))
| ~ spl34_564
| ~ spl34_622 ),
inference(resolution,[],[f4436,f4036]) ).
fof(f4436,plain,
( m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_622 ),
inference(avatar_component_clause,[],[f4435]) ).
fof(f10121,plain,
( spl34_1060
| ~ spl34_1061
| ~ spl34_389
| ~ spl34_852 ),
inference(avatar_split_clause,[],[f7407,f7389,f2795,f10118,f10114]) ).
fof(f10114,plain,
( spl34_1060
<=> u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1060])]) ).
fof(f10118,plain,
( spl34_1061
<=> k7_conlat_2(sK6) = k7_conlat_2(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1061])]) ).
fof(f7407,plain,
( k7_conlat_2(sK6) != k7_conlat_2(k7_conlat_2(sK28))
| u2_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(sK28))
| ~ spl34_389
| ~ spl34_852 ),
inference(superposition,[],[f2796,f7391]) ).
fof(f10112,plain,
( spl34_1059
| ~ spl34_564
| ~ spl34_618 ),
inference(avatar_split_clause,[],[f4657,f4413,f4035,f10109]) ).
fof(f10109,plain,
( spl34_1059
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1059])]) ).
fof(f4413,plain,
( spl34_618
<=> m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_618])]) ).
fof(f4657,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))))
| ~ spl34_564
| ~ spl34_618 ),
inference(resolution,[],[f4414,f4036]) ).
fof(f4414,plain,
( m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_618 ),
inference(avatar_component_clause,[],[f4413]) ).
fof(f10091,plain,
( spl34_1058
| ~ spl34_251
| ~ spl34_909
| ~ spl34_1057 ),
inference(avatar_split_clause,[],[f10086,f10082,f8031,f1822,f10088]) ).
fof(f10088,plain,
( spl34_1058
<=> g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1058])]) ).
fof(f8031,plain,
( spl34_909
<=> v1_xboole_0(u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_909])]) ).
fof(f10082,plain,
( spl34_1057
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1057])]) ).
fof(f10086,plain,
( g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK32))))
| ~ spl34_251
| ~ spl34_909
| ~ spl34_1057 ),
inference(forward_demodulation,[],[f10084,f8411]) ).
fof(f8411,plain,
( sK26 = u1_struct_0(sK32)
| ~ spl34_251
| ~ spl34_909 ),
inference(resolution,[],[f8033,f1823]) ).
fof(f8033,plain,
( v1_xboole_0(u1_struct_0(sK32))
| ~ spl34_909 ),
inference(avatar_component_clause,[],[f8031]) ).
fof(f10084,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))))
| ~ spl34_1057 ),
inference(avatar_component_clause,[],[f10082]) ).
fof(f10085,plain,
( spl34_1057
| ~ spl34_564
| ~ spl34_615 ),
inference(avatar_split_clause,[],[f4613,f4401,f4035,f10082]) ).
fof(f4401,plain,
( spl34_615
<=> m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_615])]) ).
fof(f4613,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))))
| ~ spl34_564
| ~ spl34_615 ),
inference(resolution,[],[f4402,f4036]) ).
fof(f4402,plain,
( m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_615 ),
inference(avatar_component_clause,[],[f4401]) ).
fof(f10080,plain,
( spl34_1056
| ~ spl34_564
| ~ spl34_611 ),
inference(avatar_split_clause,[],[f4565,f4378,f4035,f10077]) ).
fof(f10077,plain,
( spl34_1056
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1056])]) ).
fof(f4378,plain,
( spl34_611
<=> m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_611])]) ).
fof(f4565,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))))
| ~ spl34_564
| ~ spl34_611 ),
inference(resolution,[],[f4379,f4036]) ).
fof(f4379,plain,
( m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_611 ),
inference(avatar_component_clause,[],[f4378]) ).
fof(f10067,plain,
( spl34_1055
| ~ spl34_316
| ~ spl34_457 ),
inference(avatar_split_clause,[],[f3232,f3184,f2276,f10065]) ).
fof(f10065,plain,
( spl34_1055
<=> ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK6)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK6),u1_conlat_1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1055])]) ).
fof(f3184,plain,
( spl34_457
<=> m2_relset_1(k4_relat_1(u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_457])]) ).
fof(f3232,plain,
( ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK6)))
| m1_subset_1(X0,k2_zfmisc_1(u2_conlat_1(sK6),u1_conlat_1(sK6))) )
| ~ spl34_316
| ~ spl34_457 ),
inference(resolution,[],[f3186,f2277]) ).
fof(f3186,plain,
( m2_relset_1(k4_relat_1(u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_457 ),
inference(avatar_component_clause,[],[f3184]) ).
fof(f10054,plain,
( spl34_1054
| ~ spl34_251
| ~ spl34_904
| ~ spl34_1053 ),
inference(avatar_split_clause,[],[f10049,f10045,f7989,f1822,f10051]) ).
fof(f10051,plain,
( spl34_1054
<=> g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1054])]) ).
fof(f7989,plain,
( spl34_904
<=> v1_xboole_0(u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_904])]) ).
fof(f10045,plain,
( spl34_1053
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1053])]) ).
fof(f10049,plain,
( g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK31))))
| ~ spl34_251
| ~ spl34_904
| ~ spl34_1053 ),
inference(forward_demodulation,[],[f10047,f8341]) ).
fof(f8341,plain,
( sK26 = u1_struct_0(sK31)
| ~ spl34_251
| ~ spl34_904 ),
inference(resolution,[],[f7991,f1823]) ).
fof(f7991,plain,
( v1_xboole_0(u1_struct_0(sK31))
| ~ spl34_904 ),
inference(avatar_component_clause,[],[f7989]) ).
fof(f10047,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))))
| ~ spl34_1053 ),
inference(avatar_component_clause,[],[f10045]) ).
fof(f10048,plain,
( spl34_1053
| ~ spl34_564
| ~ spl34_608 ),
inference(avatar_split_clause,[],[f4536,f4366,f4035,f10045]) ).
fof(f4366,plain,
( spl34_608
<=> m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_608])]) ).
fof(f4536,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))))
| ~ spl34_564
| ~ spl34_608 ),
inference(resolution,[],[f4367,f4036]) ).
fof(f4367,plain,
( m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_608 ),
inference(avatar_component_clause,[],[f4366]) ).
fof(f10043,plain,
( spl34_1052
| ~ spl34_564
| ~ spl34_604 ),
inference(avatar_split_clause,[],[f4489,f4343,f4035,f10040]) ).
fof(f10040,plain,
( spl34_1052
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1052])]) ).
fof(f4489,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))))
| ~ spl34_564
| ~ spl34_604 ),
inference(resolution,[],[f4344,f4036]) ).
fof(f4344,plain,
( m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_604 ),
inference(avatar_component_clause,[],[f4343]) ).
fof(f10022,plain,
( spl34_1051
| ~ spl34_251
| ~ spl34_900
| ~ spl34_1050 ),
inference(avatar_split_clause,[],[f10009,f10005,f7943,f1822,f10019]) ).
fof(f10019,plain,
( spl34_1051
<=> g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1051])]) ).
fof(f7943,plain,
( spl34_900
<=> v1_xboole_0(u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_900])]) ).
fof(f10005,plain,
( spl34_1050
<=> g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1050])]) ).
fof(f10009,plain,
( g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(sK26,sK26),sK26,u2_lattices(sK30))))
| ~ spl34_251
| ~ spl34_900
| ~ spl34_1050 ),
inference(forward_demodulation,[],[f10007,f8268]) ).
fof(f8268,plain,
( sK26 = u1_struct_0(sK30)
| ~ spl34_251
| ~ spl34_900 ),
inference(resolution,[],[f7945,f1823]) ).
fof(f7945,plain,
( v1_xboole_0(u1_struct_0(sK30))
| ~ spl34_900 ),
inference(avatar_component_clause,[],[f7943]) ).
fof(f10007,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))))
| ~ spl34_1050 ),
inference(avatar_component_clause,[],[f10005]) ).
fof(f10008,plain,
( spl34_1050
| ~ spl34_564
| ~ spl34_601 ),
inference(avatar_split_clause,[],[f4457,f4331,f4035,f10005]) ).
fof(f4457,plain,
( g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))),u2_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))),u3_conlat_1(g2_conlat_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))))
| ~ spl34_564
| ~ spl34_601 ),
inference(resolution,[],[f4332,f4036]) ).
fof(f4332,plain,
( m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_601 ),
inference(avatar_component_clause,[],[f4331]) ).
fof(f10003,plain,
( spl34_1049
| ~ spl34_351
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4061,f4035,f2532,f10001]) ).
fof(f10001,plain,
( spl34_1049
<=> ! [X2,X0,X1] :
( g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2)),u2_conlat_1(g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2)),u3_conlat_1(g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1049])]) ).
fof(f2532,plain,
( spl34_351
<=> ! [X2,X0,X1] :
( ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_351])]) ).
fof(f4061,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2)),u2_conlat_1(g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2)),u3_conlat_1(g2_conlat_1(u1_struct_0(X0),u1_struct_0(X1),X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1) )
| ~ spl34_351
| ~ spl34_564 ),
inference(resolution,[],[f4036,f2533]) ).
fof(f2533,plain,
( ! [X2,X0,X1] :
( m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X0,X1,X2) )
| ~ spl34_351 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f9987,plain,
( spl34_1048
| ~ spl34_151
| ~ spl34_579 ),
inference(avatar_split_clause,[],[f4182,f4160,f1215,f9985]) ).
fof(f9985,plain,
( spl34_1048
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u1_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1048])]) ).
fof(f4160,plain,
( spl34_579
<=> ! [X0,X1] :
( l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_579])]) ).
fof(f4182,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u1_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_151
| ~ spl34_579 ),
inference(resolution,[],[f4161,f1216]) ).
fof(f4161,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,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))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_1(X1)
| ~ l1_lattices(X0) )
| ~ spl34_579 ),
inference(avatar_component_clause,[],[f4160]) ).
fof(f9983,plain,
( spl34_1047
| ~ spl34_151
| ~ spl34_578 ),
inference(avatar_split_clause,[],[f4178,f4156,f1215,f9981]) ).
fof(f9981,plain,
( spl34_1047
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u2_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1047])]) ).
fof(f4156,plain,
( spl34_578
<=> ! [X0,X1] :
( l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_578])]) ).
fof(f4178,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u2_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_151
| ~ spl34_578 ),
inference(resolution,[],[f4157,f1216]) ).
fof(f4157,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,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))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_1(X1)
| ~ l2_lattices(X0) )
| ~ spl34_578 ),
inference(avatar_component_clause,[],[f4156]) ).
fof(f9979,plain,
( spl34_1046
| ~ spl34_151
| ~ spl34_577 ),
inference(avatar_split_clause,[],[f4174,f4152,f1215,f9977]) ).
fof(f9977,plain,
( spl34_1046
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u1_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1046])]) ).
fof(f4152,plain,
( spl34_577
<=> ! [X0,X1] :
( v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_577])]) ).
fof(f4174,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u1_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_151
| ~ spl34_577 ),
inference(resolution,[],[f4153,f1216]) ).
fof(f4153,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,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))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(X0)))
| ~ v1_funct_1(X1)
| ~ l1_lattices(X0) )
| ~ spl34_577 ),
inference(avatar_component_clause,[],[f4152]) ).
fof(f9975,plain,
( ~ spl34_1020
| ~ spl34_72
| spl34_1019 ),
inference(avatar_split_clause,[],[f9935,f9742,f880,f9746]) ).
fof(f9746,plain,
( spl34_1020
<=> v1_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1020])]) ).
fof(f9742,plain,
( spl34_1019
<=> v1_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1019])]) ).
fof(f9935,plain,
( ~ v1_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| ~ spl34_72
| spl34_1019 ),
inference(resolution,[],[f9744,f881]) ).
fof(f9744,plain,
( ~ v1_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))))
| spl34_1019 ),
inference(avatar_component_clause,[],[f9742]) ).
fof(f9974,plain,
( spl34_1045
| ~ spl34_151
| ~ spl34_576 ),
inference(avatar_split_clause,[],[f4165,f4148,f1215,f9972]) ).
fof(f9972,plain,
( spl34_1045
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u2_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1045])]) ).
fof(f4148,plain,
( spl34_576
<=> ! [X0,X1] :
( v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_576])]) ).
fof(f4165,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)),u2_lattices(X0)))
| ~ v1_funct_1(sK18(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_151
| ~ spl34_576 ),
inference(resolution,[],[f4149,f1216]) ).
fof(f4149,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X1,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))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(X0)))
| ~ v1_funct_1(X1)
| ~ l2_lattices(X0) )
| ~ spl34_576 ),
inference(avatar_component_clause,[],[f4148]) ).
fof(f9970,plain,
( spl34_1044
| ~ spl34_207
| ~ spl34_566 ),
inference(avatar_split_clause,[],[f4086,f4078,f1544,f9968]) ).
fof(f9968,plain,
( spl34_1044
<=> ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ v1_xboole_0(k10_conlat_2(X0))
| ~ v1_funct_1(k10_conlat_2(X0))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v1_xboole_0(u1_struct_0(k11_conlat_1(k7_conlat_2(X0))))
| v1_xboole_0(u1_struct_0(k1_lattice2(k11_conlat_1(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1044])]) ).
fof(f4078,plain,
( spl34_566
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_566])]) ).
fof(f4086,plain,
( ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ v1_xboole_0(k10_conlat_2(X0))
| ~ v1_funct_1(k10_conlat_2(X0))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v1_xboole_0(u1_struct_0(k11_conlat_1(k7_conlat_2(X0))))
| v1_xboole_0(u1_struct_0(k1_lattice2(k11_conlat_1(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207
| ~ spl34_566 ),
inference(resolution,[],[f4079,f1545]) ).
fof(f4079,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X2,X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ l3_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl34_566 ),
inference(avatar_component_clause,[],[f4078]) ).
fof(f9963,plain,
( spl34_913
| ~ spl34_623
| spl34_1043
| ~ spl34_625
| ~ spl34_233
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4734,f4443,f1716,f4447,f9961,f4439,f8068]) ).
fof(f4439,plain,
( spl34_623
<=> v1_funct_1(u1_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_623])]) ).
fof(f9961,plain,
( spl34_1043
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK33),X0,u1_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1043])]) ).
fof(f1716,plain,
( spl34_233
<=> ! [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,[spl34_233])]) ).
fof(f4443,plain,
( spl34_624
<=> v1_funct_2(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_624])]) ).
fof(f4734,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK33),X0,u1_lattices(sK33)))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK33)) )
| ~ spl34_233
| ~ spl34_624 ),
inference(resolution,[],[f4444,f1717]) ).
fof(f1717,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ 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) )
| ~ spl34_233 ),
inference(avatar_component_clause,[],[f1716]) ).
fof(f4444,plain,
( v1_funct_2(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_624 ),
inference(avatar_component_clause,[],[f4443]) ).
fof(f9953,plain,
( spl34_913
| ~ spl34_620
| spl34_1042
| ~ spl34_622
| ~ spl34_233
| ~ spl34_621 ),
inference(avatar_split_clause,[],[f4706,f4431,f1716,f4435,f9951,f4427,f8068]) ).
fof(f4427,plain,
( spl34_620
<=> v1_funct_1(u2_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_620])]) ).
fof(f9951,plain,
( spl34_1042
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK33),X0,u2_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1042])]) ).
fof(f4431,plain,
( spl34_621
<=> v1_funct_2(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_621])]) ).
fof(f4706,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK33),X0,u2_lattices(sK33)))
| ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK33)) )
| ~ spl34_233
| ~ spl34_621 ),
inference(resolution,[],[f4432,f1717]) ).
fof(f4432,plain,
( v1_funct_2(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_621 ),
inference(avatar_component_clause,[],[f4431]) ).
fof(f9949,plain,
( spl34_909
| ~ spl34_616
| spl34_1041
| ~ spl34_618
| ~ spl34_233
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4649,f4409,f1716,f4413,f9947,f4405,f8031]) ).
fof(f4405,plain,
( spl34_616
<=> v1_funct_1(u1_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_616])]) ).
fof(f9947,plain,
( spl34_1041
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK32),X0,u1_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1041])]) ).
fof(f4409,plain,
( spl34_617
<=> v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_617])]) ).
fof(f4649,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK32),X0,u1_lattices(sK32)))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK32)) )
| ~ spl34_233
| ~ spl34_617 ),
inference(resolution,[],[f4410,f1717]) ).
fof(f4410,plain,
( v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_617 ),
inference(avatar_component_clause,[],[f4409]) ).
fof(f9939,plain,
( spl34_909
| ~ spl34_613
| spl34_1040
| ~ spl34_615
| ~ spl34_233
| ~ spl34_614 ),
inference(avatar_split_clause,[],[f4630,f4397,f1716,f4401,f9937,f4393,f8031]) ).
fof(f4393,plain,
( spl34_613
<=> v1_funct_1(u2_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_613])]) ).
fof(f9937,plain,
( spl34_1040
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK32),X0,u2_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1040])]) ).
fof(f4397,plain,
( spl34_614
<=> v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_614])]) ).
fof(f4630,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK32),X0,u2_lattices(sK32)))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK32)) )
| ~ spl34_233
| ~ spl34_614 ),
inference(resolution,[],[f4398,f1717]) ).
fof(f4398,plain,
( v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_614 ),
inference(avatar_component_clause,[],[f4397]) ).
fof(f9934,plain,
( spl34_904
| ~ spl34_609
| spl34_1039
| ~ spl34_611
| ~ spl34_233
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4582,f4374,f1716,f4378,f9932,f4370,f7989]) ).
fof(f4370,plain,
( spl34_609
<=> v1_funct_1(u1_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_609])]) ).
fof(f9932,plain,
( spl34_1039
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK31),X0,u1_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1039])]) ).
fof(f4374,plain,
( spl34_610
<=> v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_610])]) ).
fof(f4582,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK31),X0,u1_lattices(sK31)))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK31)) )
| ~ spl34_233
| ~ spl34_610 ),
inference(resolution,[],[f4375,f1717]) ).
fof(f4375,plain,
( v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_610 ),
inference(avatar_component_clause,[],[f4374]) ).
fof(f9924,plain,
( spl34_904
| ~ spl34_606
| spl34_1038
| ~ spl34_608
| ~ spl34_233
| ~ spl34_607 ),
inference(avatar_split_clause,[],[f4553,f4362,f1716,f4366,f9922,f4358,f7989]) ).
fof(f4358,plain,
( spl34_606
<=> v1_funct_1(u2_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_606])]) ).
fof(f9922,plain,
( spl34_1038
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK31),X0,u2_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1038])]) ).
fof(f4362,plain,
( spl34_607
<=> v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_607])]) ).
fof(f4553,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK31),X0,u2_lattices(sK31)))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK31)) )
| ~ spl34_233
| ~ spl34_607 ),
inference(resolution,[],[f4363,f1717]) ).
fof(f4363,plain,
( v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_607 ),
inference(avatar_component_clause,[],[f4362]) ).
fof(f9920,plain,
( spl34_900
| ~ spl34_602
| spl34_1037
| ~ spl34_604
| ~ spl34_233
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4505,f4339,f1716,f4343,f9918,f4335,f7943]) ).
fof(f4335,plain,
( spl34_602
<=> v1_funct_1(u1_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_602])]) ).
fof(f9918,plain,
( spl34_1037
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK30),X0,u1_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1037])]) ).
fof(f4339,plain,
( spl34_603
<=> v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_603])]) ).
fof(f4505,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK30),X0,u1_lattices(sK30)))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK30)) )
| ~ spl34_233
| ~ spl34_603 ),
inference(resolution,[],[f4340,f1717]) ).
fof(f4340,plain,
( v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_603 ),
inference(avatar_component_clause,[],[f4339]) ).
fof(f9910,plain,
( spl34_900
| ~ spl34_599
| spl34_1036
| ~ spl34_601
| ~ spl34_233
| ~ spl34_600 ),
inference(avatar_split_clause,[],[f4477,f4327,f1716,f4331,f9908,f4323,f7943]) ).
fof(f4323,plain,
( spl34_599
<=> v1_funct_1(u2_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_599])]) ).
fof(f9908,plain,
( spl34_1036
<=> ! [X0] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK30),X0,u2_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1036])]) ).
fof(f4327,plain,
( spl34_600
<=> v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_600])]) ).
fof(f4477,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK30),X0,u2_lattices(sK30)))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(X0)
| v1_xboole_0(u1_struct_0(sK30)) )
| ~ spl34_233
| ~ spl34_600 ),
inference(resolution,[],[f4328,f1717]) ).
fof(f4328,plain,
( v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_600 ),
inference(avatar_component_clause,[],[f4327]) ).
fof(f9906,plain,
( spl34_1035
| ~ spl34_207
| ~ spl34_565 ),
inference(avatar_split_clause,[],[f4081,f4074,f1544,f9904]) ).
fof(f9904,plain,
( spl34_1035
<=> ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(k1_lattice2(k11_conlat_1(X1))),u1_struct_0(k11_conlat_1(k7_conlat_2(X1)))))
| ~ r2_hidden(X0,k10_conlat_2(X1))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1035])]) ).
fof(f4074,plain,
( spl34_565
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))
| ~ m1_lattice4(X1,X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_565])]) ).
fof(f4081,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(k1_lattice2(k11_conlat_1(X1))),u1_struct_0(k11_conlat_1(k7_conlat_2(X1)))))
| ~ r2_hidden(X0,k10_conlat_2(X1))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| v3_conlat_1(X1) )
| ~ spl34_207
| ~ spl34_565 ),
inference(resolution,[],[f4075,f1545]) ).
fof(f4075,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_lattice4(X1,X2,X3)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))
| ~ r2_hidden(X0,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl34_565 ),
inference(avatar_component_clause,[],[f4074]) ).
fof(f9902,plain,
( spl34_1034
| ~ spl34_207
| ~ spl34_560 ),
inference(avatar_split_clause,[],[f4040,f4019,f1544,f9900]) ).
fof(f9900,plain,
( spl34_1034
<=> ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| k4_relat_1(k10_conlat_2(X0)) = k6_relset_1(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),k10_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1034])]) ).
fof(f4019,plain,
( spl34_560
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0)
| k4_relat_1(X2) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_560])]) ).
fof(f4040,plain,
( ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| k4_relat_1(k10_conlat_2(X0)) = k6_relset_1(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),k10_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207
| ~ spl34_560 ),
inference(resolution,[],[f4020,f1545]) ).
fof(f4020,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X2,X1,X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k4_relat_1(X2) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2) )
| ~ spl34_560 ),
inference(avatar_component_clause,[],[f4019]) ).
fof(f9891,plain,
( ~ spl34_623
| spl34_1033
| ~ spl34_625
| ~ spl34_231
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4736,f4443,f1701,f4447,f9889,f4439]) ).
fof(f9889,plain,
( spl34_1033
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK33),X0,u1_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1033])]) ).
fof(f1701,plain,
( spl34_231
<=> ! [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,[spl34_231])]) ).
fof(f4736,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| v3_lattices(g3_lattices(u1_struct_0(sK33),X0,u1_lattices(sK33)))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_624 ),
inference(resolution,[],[f4444,f1702]) ).
fof(f1702,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,X2))
| ~ 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) )
| ~ spl34_231 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f9874,plain,
( ~ spl34_623
| spl34_1032
| ~ spl34_625
| ~ spl34_232
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4735,f4443,f1705,f4447,f9872,f4439]) ).
fof(f9872,plain,
( spl34_1032
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK33),X0,u1_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1032])]) ).
fof(f1705,plain,
( spl34_232
<=> ! [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,[spl34_232])]) ).
fof(f4735,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| l3_lattices(g3_lattices(u1_struct_0(sK33),X0,u1_lattices(sK33)))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_624 ),
inference(resolution,[],[f4444,f1706]) ).
fof(f1706,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| l3_lattices(g3_lattices(X0,X1,X2))
| ~ 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) )
| ~ spl34_232 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f9865,plain,
( ~ spl34_620
| spl34_1031
| ~ spl34_622
| ~ spl34_231
| ~ spl34_621 ),
inference(avatar_split_clause,[],[f4708,f4431,f1701,f4435,f9863,f4427]) ).
fof(f9863,plain,
( spl34_1031
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK33),X0,u2_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1031])]) ).
fof(f4708,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| v3_lattices(g3_lattices(u1_struct_0(sK33),X0,u2_lattices(sK33)))
| ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_621 ),
inference(resolution,[],[f4432,f1702]) ).
fof(f9851,plain,
( spl34_1030
| ~ spl34_251
| ~ spl34_913
| ~ spl34_1029 ),
inference(avatar_split_clause,[],[f9847,f9842,f8068,f1822,f9849]) ).
fof(f9849,plain,
( spl34_1030
<=> ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK33)))
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1030])]) ).
fof(f9842,plain,
( spl34_1029
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK33),X0,u2_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1029])]) ).
fof(f9847,plain,
( ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK33)))
| ~ v1_funct_1(X0) )
| ~ spl34_251
| ~ spl34_913
| ~ spl34_1029 ),
inference(forward_demodulation,[],[f9846,f8480]) ).
fof(f9846,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) )
| ~ spl34_251
| ~ spl34_913
| ~ spl34_1029 ),
inference(forward_demodulation,[],[f9845,f8480]) ).
fof(f9845,plain,
( ! [X0] :
( l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK33)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) )
| ~ spl34_251
| ~ spl34_913
| ~ spl34_1029 ),
inference(forward_demodulation,[],[f9843,f8480]) ).
fof(f9843,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(X0)
| l3_lattices(g3_lattices(u1_struct_0(sK33),X0,u2_lattices(sK33)))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) )
| ~ spl34_1029 ),
inference(avatar_component_clause,[],[f9842]) ).
fof(f9844,plain,
( ~ spl34_620
| spl34_1029
| ~ spl34_622
| ~ spl34_232
| ~ spl34_621 ),
inference(avatar_split_clause,[],[f4707,f4431,f1705,f4435,f9842,f4427]) ).
fof(f4707,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| l3_lattices(g3_lattices(u1_struct_0(sK33),X0,u2_lattices(sK33)))
| ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_621 ),
inference(resolution,[],[f4432,f1706]) ).
fof(f9840,plain,
( ~ spl34_935
| ~ spl34_388
| spl34_1020 ),
inference(avatar_split_clause,[],[f9798,f9746,f2784,f8446]) ).
fof(f9798,plain,
( ~ l2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_388
| spl34_1020 ),
inference(resolution,[],[f9747,f2785]) ).
fof(f9747,plain,
( ~ v1_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| spl34_1020 ),
inference(avatar_component_clause,[],[f9746]) ).
fof(f9832,plain,
( ~ spl34_616
| spl34_1028
| ~ spl34_618
| ~ spl34_231
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4651,f4409,f1701,f4413,f9830,f4405]) ).
fof(f9830,plain,
( spl34_1028
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK32),X0,u1_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1028])]) ).
fof(f4651,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| v3_lattices(g3_lattices(u1_struct_0(sK32),X0,u1_lattices(sK32)))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_617 ),
inference(resolution,[],[f4410,f1702]) ).
fof(f9821,plain,
( ~ spl34_616
| spl34_1027
| ~ spl34_618
| ~ spl34_232
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4650,f4409,f1705,f4413,f9819,f4405]) ).
fof(f9819,plain,
( spl34_1027
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK32),X0,u1_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1027])]) ).
fof(f4650,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| l3_lattices(g3_lattices(u1_struct_0(sK32),X0,u1_lattices(sK32)))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_617 ),
inference(resolution,[],[f4410,f1706]) ).
fof(f9812,plain,
( ~ spl34_613
| spl34_1026
| ~ spl34_615
| ~ spl34_231
| ~ spl34_614 ),
inference(avatar_split_clause,[],[f4632,f4397,f1701,f4401,f9810,f4393]) ).
fof(f9810,plain,
( spl34_1026
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK32),X0,u2_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1026])]) ).
fof(f4632,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| v3_lattices(g3_lattices(u1_struct_0(sK32),X0,u2_lattices(sK32)))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_614 ),
inference(resolution,[],[f4398,f1702]) ).
fof(f9797,plain,
( spl34_1025
| ~ spl34_251
| ~ spl34_909
| ~ spl34_1024 ),
inference(avatar_split_clause,[],[f9793,f9788,f8031,f1822,f9795]) ).
fof(f9795,plain,
( spl34_1025
<=> ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK32)))
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1025])]) ).
fof(f9788,plain,
( spl34_1024
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK32),X0,u2_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1024])]) ).
fof(f9793,plain,
( ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK32)))
| ~ v1_funct_1(X0) )
| ~ spl34_251
| ~ spl34_909
| ~ spl34_1024 ),
inference(forward_demodulation,[],[f9792,f8411]) ).
fof(f9792,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) )
| ~ spl34_251
| ~ spl34_909
| ~ spl34_1024 ),
inference(forward_demodulation,[],[f9791,f8411]) ).
fof(f9791,plain,
( ! [X0] :
( l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK32)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) )
| ~ spl34_251
| ~ spl34_909
| ~ spl34_1024 ),
inference(forward_demodulation,[],[f9789,f8411]) ).
fof(f9789,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(X0)
| l3_lattices(g3_lattices(u1_struct_0(sK32),X0,u2_lattices(sK32)))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) )
| ~ spl34_1024 ),
inference(avatar_component_clause,[],[f9788]) ).
fof(f9790,plain,
( ~ spl34_613
| spl34_1024
| ~ spl34_615
| ~ spl34_232
| ~ spl34_614 ),
inference(avatar_split_clause,[],[f4631,f4397,f1705,f4401,f9788,f4393]) ).
fof(f4631,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| l3_lattices(g3_lattices(u1_struct_0(sK32),X0,u2_lattices(sK32)))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_614 ),
inference(resolution,[],[f4398,f1706]) ).
fof(f9779,plain,
( ~ spl34_609
| spl34_1023
| ~ spl34_611
| ~ spl34_231
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4584,f4374,f1701,f4378,f9777,f4370]) ).
fof(f9777,plain,
( spl34_1023
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK31),X0,u1_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1023])]) ).
fof(f4584,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| v3_lattices(g3_lattices(u1_struct_0(sK31),X0,u1_lattices(sK31)))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_610 ),
inference(resolution,[],[f4375,f1702]) ).
fof(f9768,plain,
( ~ spl34_609
| spl34_1022
| ~ spl34_611
| ~ spl34_232
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4583,f4374,f1705,f4378,f9766,f4370]) ).
fof(f9766,plain,
( spl34_1022
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK31),X0,u1_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1022])]) ).
fof(f4583,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| l3_lattices(g3_lattices(u1_struct_0(sK31),X0,u1_lattices(sK31)))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_610 ),
inference(resolution,[],[f4375,f1706]) ).
fof(f9759,plain,
( ~ spl34_606
| spl34_1021
| ~ spl34_608
| ~ spl34_231
| ~ spl34_607 ),
inference(avatar_split_clause,[],[f4555,f4362,f1701,f4366,f9757,f4358]) ).
fof(f9757,plain,
( spl34_1021
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK31),X0,u2_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1021])]) ).
fof(f4555,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| v3_lattices(g3_lattices(u1_struct_0(sK31),X0,u2_lattices(sK31)))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_607 ),
inference(resolution,[],[f4363,f1702]) ).
fof(f9749,plain,
( ~ spl34_1019
| spl34_1020
| ~ spl34_72
| ~ spl34_1010 ),
inference(avatar_split_clause,[],[f9694,f9618,f880,f9746,f9742]) ).
fof(f9618,plain,
( spl34_1010
<=> u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1010])]) ).
fof(f9694,plain,
( v1_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| ~ v1_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))))
| ~ spl34_72
| ~ spl34_1010 ),
inference(superposition,[],[f881,f9620]) ).
fof(f9620,plain,
( u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))))
| ~ spl34_1010 ),
inference(avatar_component_clause,[],[f9618]) ).
fof(f9736,plain,
( spl34_1018
| ~ spl34_251
| ~ spl34_904
| ~ spl34_1017 ),
inference(avatar_split_clause,[],[f9732,f9727,f7989,f1822,f9734]) ).
fof(f9734,plain,
( spl34_1018
<=> ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK31)))
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1018])]) ).
fof(f9727,plain,
( spl34_1017
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK31),X0,u2_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1017])]) ).
fof(f9732,plain,
( ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK31)))
| ~ v1_funct_1(X0) )
| ~ spl34_251
| ~ spl34_904
| ~ spl34_1017 ),
inference(forward_demodulation,[],[f9731,f8341]) ).
fof(f9731,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) )
| ~ spl34_251
| ~ spl34_904
| ~ spl34_1017 ),
inference(forward_demodulation,[],[f9730,f8341]) ).
fof(f9730,plain,
( ! [X0] :
( l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK31)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) )
| ~ spl34_251
| ~ spl34_904
| ~ spl34_1017 ),
inference(forward_demodulation,[],[f9728,f8341]) ).
fof(f9728,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(X0)
| l3_lattices(g3_lattices(u1_struct_0(sK31),X0,u2_lattices(sK31)))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) )
| ~ spl34_1017 ),
inference(avatar_component_clause,[],[f9727]) ).
fof(f9729,plain,
( ~ spl34_606
| spl34_1017
| ~ spl34_608
| ~ spl34_232
| ~ spl34_607 ),
inference(avatar_split_clause,[],[f4554,f4362,f1705,f4366,f9727,f4358]) ).
fof(f4554,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| l3_lattices(g3_lattices(u1_struct_0(sK31),X0,u2_lattices(sK31)))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_607 ),
inference(resolution,[],[f4363,f1706]) ).
fof(f9718,plain,
( ~ spl34_602
| spl34_1016
| ~ spl34_604
| ~ spl34_231
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4507,f4339,f1701,f4343,f9716,f4335]) ).
fof(f9716,plain,
( spl34_1016
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK30),X0,u1_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1016])]) ).
fof(f4507,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| v3_lattices(g3_lattices(u1_struct_0(sK30),X0,u1_lattices(sK30)))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_603 ),
inference(resolution,[],[f4340,f1702]) ).
fof(f9707,plain,
( ~ spl34_602
| spl34_1015
| ~ spl34_604
| ~ spl34_232
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4506,f4339,f1705,f4343,f9705,f4335]) ).
fof(f9705,plain,
( spl34_1015
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK30),X0,u1_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1015])]) ).
fof(f4506,plain,
( ! [X0] :
( ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| l3_lattices(g3_lattices(u1_struct_0(sK30),X0,u1_lattices(sK30)))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_603 ),
inference(resolution,[],[f4340,f1706]) ).
fof(f9698,plain,
( ~ spl34_599
| spl34_1014
| ~ spl34_601
| ~ spl34_231
| ~ spl34_600 ),
inference(avatar_split_clause,[],[f4479,f4327,f1701,f4331,f9696,f4323]) ).
fof(f9696,plain,
( spl34_1014
<=> ! [X0] :
( v3_lattices(g3_lattices(u1_struct_0(sK30),X0,u2_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1014])]) ).
fof(f4479,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| v3_lattices(g3_lattices(u1_struct_0(sK30),X0,u2_lattices(sK30)))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(X0) )
| ~ spl34_231
| ~ spl34_600 ),
inference(resolution,[],[f4328,f1702]) ).
fof(f9683,plain,
( spl34_1013
| ~ spl34_251
| ~ spl34_900
| ~ spl34_1012 ),
inference(avatar_split_clause,[],[f9679,f9674,f7943,f1822,f9681]) ).
fof(f9681,plain,
( spl34_1013
<=> ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK30)))
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1013])]) ).
fof(f9674,plain,
( spl34_1012
<=> ! [X0] :
( l3_lattices(g3_lattices(u1_struct_0(sK30),X0,u2_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1012])]) ).
fof(f9679,plain,
( ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(sK26,sK26),sK26)
| ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK30)))
| ~ v1_funct_1(X0) )
| ~ spl34_251
| ~ spl34_900
| ~ spl34_1012 ),
inference(forward_demodulation,[],[f9678,f8268]) ).
fof(f9678,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(sK26,sK26),sK26)
| l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) )
| ~ spl34_251
| ~ spl34_900
| ~ spl34_1012 ),
inference(forward_demodulation,[],[f9677,f8268]) ).
fof(f9677,plain,
( ! [X0] :
( l3_lattices(g3_lattices(sK26,X0,u2_lattices(sK30)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) )
| ~ spl34_251
| ~ spl34_900
| ~ spl34_1012 ),
inference(forward_demodulation,[],[f9675,f8268]) ).
fof(f9675,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(X0)
| l3_lattices(g3_lattices(u1_struct_0(sK30),X0,u2_lattices(sK30)))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) )
| ~ spl34_1012 ),
inference(avatar_component_clause,[],[f9674]) ).
fof(f9676,plain,
( ~ spl34_599
| spl34_1012
| ~ spl34_601
| ~ spl34_232
| ~ spl34_600 ),
inference(avatar_split_clause,[],[f4478,f4327,f1705,f4331,f9674,f4323]) ).
fof(f4478,plain,
( ! [X0] :
( ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| l3_lattices(g3_lattices(u1_struct_0(sK30),X0,u2_lattices(sK30)))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(X0) )
| ~ spl34_232
| ~ spl34_600 ),
inference(resolution,[],[f4328,f1706]) ).
fof(f9625,plain,
( spl34_1011
| ~ spl34_321
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3924,f3889,f2296,f9623]) ).
fof(f3889,plain,
( spl34_548
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_548])]) ).
fof(f3924,plain,
( ! [X0] :
( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) = k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_548 ),
inference(resolution,[],[f3890,f2297]) ).
fof(f3890,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) )
| ~ spl34_548 ),
inference(avatar_component_clause,[],[f3889]) ).
fof(f9621,plain,
( spl34_1010
| ~ spl34_675
| ~ spl34_935 ),
inference(avatar_split_clause,[],[f8511,f8446,f5245,f9618]) ).
fof(f8511,plain,
( u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))))
| ~ spl34_675
| ~ spl34_935 ),
inference(resolution,[],[f8448,f5246]) ).
fof(f9616,plain,
( spl34_1009
| ~ spl34_320
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3923,f3889,f2292,f9614]) ).
fof(f3923,plain,
( ! [X0] :
( k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) = k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_548 ),
inference(resolution,[],[f3890,f2293]) ).
fof(f9612,plain,
( spl34_1008
| ~ spl34_351
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3916,f3889,f2532,f9610]) ).
fof(f9610,plain,
( spl34_1008
<=> ! [X2,X0,X1] :
( k6_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1008])]) ).
fof(f3916,plain,
( ! [X2,X0,X1] :
( k6_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X1),X2)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(X2,X0,X1) )
| ~ spl34_351
| ~ spl34_548 ),
inference(resolution,[],[f3890,f2533]) ).
fof(f9474,plain,
( spl34_1007
| ~ spl34_304
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4057,f4035,f2142,f9472]) ).
fof(f9472,plain,
( spl34_1007
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2))),u2_conlat_1(g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2))),u3_conlat_1(g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2))))
| ~ m1_relset_1(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1007])]) ).
fof(f4057,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2))),u2_conlat_1(g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2))),u3_conlat_1(g2_conlat_1(X0,X1,k6_relset_1(X1,X0,X2))))
| ~ m1_relset_1(X2,X1,X0) )
| ~ spl34_304
| ~ spl34_564 ),
inference(resolution,[],[f4036,f2143]) ).
fof(f9470,plain,
( spl34_1006
| ~ spl34_188
| ~ spl34_520 ),
inference(avatar_split_clause,[],[f3757,f3642,f1424,f9468]) ).
fof(f9468,plain,
( spl34_1006
<=> ! [X2,X0,X1] :
( u3_conlat_1(g2_conlat_1(X0,X1,X2)) = k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1006])]) ).
fof(f3642,plain,
( spl34_520
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| u3_conlat_1(X0) = k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_520])]) ).
fof(f3757,plain,
( ! [X2,X0,X1] :
( u3_conlat_1(g2_conlat_1(X0,X1,X2)) = k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_520 ),
inference(resolution,[],[f3643,f1425]) ).
fof(f3643,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| u3_conlat_1(X0) = k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) )
| ~ spl34_520 ),
inference(avatar_component_clause,[],[f3642]) ).
fof(f9461,plain,
( spl34_1005
| ~ spl34_519
| ~ spl34_559 ),
inference(avatar_split_clause,[],[f4038,f4015,f3638,f9459]) ).
fof(f9459,plain,
( spl34_1005
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_lattice4(X1,X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k4_relat_1(sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1005])]) ).
fof(f3638,plain,
( spl34_519
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_519])]) ).
fof(f4015,plain,
( spl34_559
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r2_hidden(X2,X3)
| ~ m1_lattice4(X3,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_559])]) ).
fof(f4038,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_lattice4(X1,X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| k4_relat_1(sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))))) )
| ~ spl34_519
| ~ spl34_559 ),
inference(resolution,[],[f4016,f3639]) ).
fof(f3639,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))) )
| ~ spl34_519 ),
inference(avatar_component_clause,[],[f3638]) ).
fof(f4016,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r2_hidden(X2,X3)
| ~ m1_lattice4(X3,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_559 ),
inference(avatar_component_clause,[],[f4015]) ).
fof(f9431,plain,
( spl34_1004
| ~ spl34_222
| ~ spl34_580 ),
inference(avatar_split_clause,[],[f4197,f4185,f1637,f9429]) ).
fof(f1637,plain,
( spl34_222
<=> ! [X0,X1] :
( r1_filter_1(X1,X0)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_222])]) ).
fof(f4185,plain,
( spl34_580
<=> ! [X0] :
( r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_580])]) ).
fof(f4197,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) )
| ~ spl34_222
| ~ spl34_580 ),
inference(duplicate_literal_removal,[],[f4196]) ).
fof(f4196,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0))) )
| ~ spl34_222
| ~ spl34_580 ),
inference(resolution,[],[f4186,f1638]) ).
fof(f1638,plain,
( ! [X0,X1] :
( ~ r1_filter_1(X0,X1)
| r1_filter_1(X1,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_222 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f4186,plain,
( ! [X0] :
( r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_580 ),
inference(avatar_component_clause,[],[f4185]) ).
fof(f9427,plain,
( spl34_1003
| ~ spl34_281
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4062,f4035,f2023,f9425]) ).
fof(f9425,plain,
( spl34_1003
<=> ! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))),u2_conlat_1(g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))),u3_conlat_1(g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1003])]) ).
fof(f2023,plain,
( spl34_281
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| m1_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_281])]) ).
fof(f4062,plain,
( ! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))),u2_conlat_1(g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))),u3_conlat_1(g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))))
| ~ l2_conlat_1(X0) )
| ~ spl34_281
| ~ spl34_564 ),
inference(resolution,[],[f4036,f2024]) ).
fof(f2024,plain,
( ! [X0] :
( m1_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_281 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f9423,plain,
( spl34_1002
| ~ spl34_351
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3774,f3664,f2532,f9421]) ).
fof(f9421,plain,
( spl34_1002
<=> ! [X2,X0,X1] :
( k6_relset_1(u1_struct_0(X0),u1_struct_0(X1),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2)) = k4_relat_1(k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1002])]) ).
fof(f3664,plain,
( spl34_525
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_525])]) ).
fof(f3774,plain,
( ! [X2,X0,X1] :
( k6_relset_1(u1_struct_0(X0),u1_struct_0(X1),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2)) = k4_relat_1(k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0) )
| ~ spl34_351
| ~ spl34_525 ),
inference(resolution,[],[f3665,f2533]) ).
fof(f3665,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) )
| ~ spl34_525 ),
inference(avatar_component_clause,[],[f3664]) ).
fof(f9371,plain,
( spl34_1001
| ~ spl34_161
| ~ spl34_563 ),
inference(avatar_split_clause,[],[f4045,f4031,f1268,f9369]) ).
fof(f9369,plain,
( spl34_1001
<=> ! [X0] :
( k7_conlat_2(k7_conlat_2(k7_conlat_2(X0))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u1_conlat_1(k7_conlat_2(k7_conlat_2(X0))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u2_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u3_conlat_1(k7_conlat_2(k7_conlat_2(X0)))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1001])]) ).
fof(f4045,plain,
( ! [X0] :
( k7_conlat_2(k7_conlat_2(k7_conlat_2(X0))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u1_conlat_1(k7_conlat_2(k7_conlat_2(X0))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u2_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u3_conlat_1(k7_conlat_2(k7_conlat_2(X0)))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_563 ),
inference(resolution,[],[f4032,f1269]) ).
fof(f9367,plain,
( spl34_1000
| ~ spl34_500
| ~ spl34_559 ),
inference(avatar_split_clause,[],[f4039,f4015,f3503,f9365]) ).
fof(f9365,plain,
( spl34_1000
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_lattice4(X1,X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1000])]) ).
fof(f4039,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_lattice4(X1,X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3))))) )
| ~ spl34_500
| ~ spl34_559 ),
inference(resolution,[],[f4016,f3504]) ).
fof(f9363,plain,
( spl34_953
| spl34_999
| ~ spl34_143
| ~ spl34_935 ),
inference(avatar_split_clause,[],[f8504,f8446,f1182,f9360,f8730]) ).
fof(f8730,plain,
( spl34_953
<=> v3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_953])]) ).
fof(f9360,plain,
( spl34_999
<=> sP3(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_999])]) ).
fof(f1182,plain,
( spl34_143
<=> ! [X0] :
( sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_143])]) ).
fof(f8504,plain,
( sP3(k7_conlat_2(k7_conlat_2(sK6)))
| v3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_143
| ~ spl34_935 ),
inference(resolution,[],[f8448,f1183]) ).
fof(f1183,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| sP3(X0)
| v3_conlat_1(X0) )
| ~ spl34_143 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f9358,plain,
( spl34_998
| ~ spl34_188
| ~ spl34_533 ),
inference(avatar_split_clause,[],[f3823,f3713,f1424,f9356]) ).
fof(f9356,plain,
( spl34_998
<=> ! [X2,X0,X1] :
( k11_conlat_1(g2_conlat_1(X0,X1,X2)) = g3_lattices(u1_struct_0(k11_conlat_1(g2_conlat_1(X0,X1,X2))),u2_lattices(k11_conlat_1(g2_conlat_1(X0,X1,X2))),u1_lattices(k11_conlat_1(g2_conlat_1(X0,X1,X2))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_998])]) ).
fof(f3713,plain,
( spl34_533
<=> ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_533])]) ).
fof(f3823,plain,
( ! [X2,X0,X1] :
( k11_conlat_1(g2_conlat_1(X0,X1,X2)) = g3_lattices(u1_struct_0(k11_conlat_1(g2_conlat_1(X0,X1,X2))),u2_lattices(k11_conlat_1(g2_conlat_1(X0,X1,X2))),u1_lattices(k11_conlat_1(g2_conlat_1(X0,X1,X2))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_533 ),
inference(resolution,[],[f3714,f1425]) ).
fof(f3714,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| v3_conlat_1(X0) )
| ~ spl34_533 ),
inference(avatar_component_clause,[],[f3713]) ).
fof(f9354,plain,
( spl34_997
| ~ spl34_188
| ~ spl34_530 ),
inference(avatar_split_clause,[],[f3816,f3684,f1424,f9352]) ).
fof(f9352,plain,
( spl34_997
<=> ! [X2,X0,X1] :
( k7_conlat_2(g2_conlat_1(X0,X1,X2)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u2_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u3_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_997])]) ).
fof(f3684,plain,
( spl34_530
<=> ! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_530])]) ).
fof(f3816,plain,
( ! [X2,X0,X1] :
( k7_conlat_2(g2_conlat_1(X0,X1,X2)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u2_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))),u3_conlat_1(k7_conlat_2(g2_conlat_1(X0,X1,X2))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_530 ),
inference(resolution,[],[f3685,f1425]) ).
fof(f3685,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k7_conlat_2(X0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))
| v3_conlat_1(X0) )
| ~ spl34_530 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f9332,plain,
( spl34_996
| ~ spl34_270
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4000,f3975,f1970,f9330]) ).
fof(f3975,plain,
( spl34_556
<=> ! [X0] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_556])]) ).
fof(f4000,plain,
( ! [X0] :
( u2_lattices(k11_conlat_1(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_270
| ~ spl34_556 ),
inference(resolution,[],[f3976,f1971]) ).
fof(f3976,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) )
| ~ spl34_556 ),
inference(avatar_component_clause,[],[f3975]) ).
fof(f9328,plain,
( spl34_995
| ~ spl34_271
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3986,f3971,f1974,f9326]) ).
fof(f3971,plain,
( spl34_555
<=> ! [X0] :
( ~ l1_lattices(X0)
| u1_lattices(X0) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_555])]) ).
fof(f3986,plain,
( ! [X0] :
( u1_lattices(k11_conlat_1(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_271
| ~ spl34_555 ),
inference(resolution,[],[f3972,f1975]) ).
fof(f3972,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| u1_lattices(X0) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) )
| ~ spl34_555 ),
inference(avatar_component_clause,[],[f3971]) ).
fof(f9278,plain,
( spl34_994
| ~ spl34_226
| ~ spl34_569 ),
inference(avatar_split_clause,[],[f4118,f4104,f1672,f9276]) ).
fof(f9276,plain,
( spl34_994
<=> ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| sK11(X1,X0) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK11(X1,X0)))
| ~ r1_filter_1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_994])]) ).
fof(f1672,plain,
( spl34_226
<=> ! [X0,X1] :
( m1_lattice4(sK11(X0,X1),X0,X1)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_226])]) ).
fof(f4118,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| sK11(X1,X0) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK11(X1,X0)))
| ~ r1_filter_1(X1,X0) )
| ~ spl34_226
| ~ spl34_569 ),
inference(duplicate_literal_removal,[],[f4117]) ).
fof(f4117,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| sK11(X1,X0) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK11(X1,X0)))
| ~ r1_filter_1(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_226
| ~ spl34_569 ),
inference(resolution,[],[f4105,f1673]) ).
fof(f1673,plain,
( ! [X0,X1] :
( m1_lattice4(sK11(X0,X1),X0,X1)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_226 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f9274,plain,
( spl34_993
| ~ spl34_321
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3782,f3664,f2296,f9272]) ).
fof(f3782,plain,
( ! [X0] :
( k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_525 ),
inference(resolution,[],[f3665,f2297]) ).
fof(f9270,plain,
( spl34_992
| ~ spl34_320
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3781,f3664,f2292,f9268]) ).
fof(f3781,plain,
( ! [X0] :
( k6_relset_1(u1_struct_0(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_525 ),
inference(resolution,[],[f3665,f2293]) ).
fof(f9156,plain,
( spl34_953
| spl34_991
| ~ spl34_142
| ~ spl34_935 ),
inference(avatar_split_clause,[],[f8503,f8446,f1178,f9153,f8730]) ).
fof(f9153,plain,
( spl34_991
<=> sP2(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_991])]) ).
fof(f1178,plain,
( spl34_142
<=> ! [X0] :
( sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_142])]) ).
fof(f8503,plain,
( sP2(k7_conlat_2(k7_conlat_2(sK6)))
| v3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_142
| ~ spl34_935 ),
inference(resolution,[],[f8448,f1179]) ).
fof(f1179,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| sP2(X0)
| v3_conlat_1(X0) )
| ~ spl34_142 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f9103,plain,
( spl34_990
| ~ spl34_202
| ~ spl34_582 ),
inference(avatar_split_clause,[],[f4202,f4193,f1522,f9101]) ).
fof(f9101,plain,
( spl34_990
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_990])]) ).
fof(f1522,plain,
( spl34_202
<=> ! [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,[spl34_202])]) ).
fof(f4202,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_582 ),
inference(resolution,[],[f4194,f1523]) ).
fof(f1523,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) )
| ~ spl34_202 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f9099,plain,
( spl34_989
| ~ spl34_200
| ~ spl34_581 ),
inference(avatar_split_clause,[],[f4199,f4189,f1514,f9097]) ).
fof(f9097,plain,
( spl34_989
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_989])]) ).
fof(f1514,plain,
( spl34_200
<=> ! [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,[spl34_200])]) ).
fof(f4199,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_581 ),
inference(resolution,[],[f4190,f1515]) ).
fof(f1515,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) )
| ~ spl34_200 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f9095,plain,
( spl34_988
| ~ spl34_249
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4001,f3975,f1814,f9093]) ).
fof(f9093,plain,
( spl34_988
<=> ! [X0] :
( u2_lattices(k1_lattice2(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_988])]) ).
fof(f4001,plain,
( ! [X0] :
( u2_lattices(k1_lattice2(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_249
| ~ spl34_556 ),
inference(resolution,[],[f3976,f1815]) ).
fof(f9091,plain,
( spl34_987
| ~ spl34_250
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3987,f3971,f1818,f9089]) ).
fof(f9089,plain,
( spl34_987
<=> ! [X0] :
( u1_lattices(k1_lattice2(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_987])]) ).
fof(f3987,plain,
( ! [X0] :
( u1_lattices(k1_lattice2(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_250
| ~ spl34_555 ),
inference(resolution,[],[f3972,f1819]) ).
fof(f9087,plain,
( spl34_986
| ~ spl34_207
| ~ spl34_539 ),
inference(avatar_split_clause,[],[f3879,f3837,f1544,f9085]) ).
fof(f9085,plain,
( spl34_986
<=> ! [X0] :
( v1_relat_1(k10_conlat_2(X0))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_986])]) ).
fof(f3837,plain,
( spl34_539
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_539])]) ).
fof(f3879,plain,
( ! [X0] :
( v1_relat_1(k10_conlat_2(X0))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207
| ~ spl34_539 ),
inference(resolution,[],[f3838,f1545]) ).
fof(f3838,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X0,X1,X2)
| v1_relat_1(X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_539 ),
inference(avatar_component_clause,[],[f3837]) ).
fof(f9083,plain,
( spl34_985
| ~ spl34_351
| ~ spl34_482 ),
inference(avatar_split_clause,[],[f3407,f3336,f2532,f9081]) ).
fof(f9081,plain,
( spl34_985
<=> ! [X0,X1] :
( m2_relset_1(sK18(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK18(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_985])]) ).
fof(f3336,plain,
( spl34_482
<=> ! [X0,X1] :
( m2_relset_1(sK18(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_482])]) ).
fof(f3407,plain,
( ! [X0,X1] :
( m2_relset_1(sK18(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK18(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) )
| ~ spl34_351
| ~ spl34_482 ),
inference(resolution,[],[f3337,f2533]) ).
fof(f3337,plain,
( ! [X0,X1] :
( ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1)
| m2_relset_1(sK18(X0,X1),X1,X0) )
| ~ spl34_482 ),
inference(avatar_component_clause,[],[f3336]) ).
fof(f9079,plain,
( spl34_984
| ~ spl34_351
| ~ spl34_481 ),
inference(avatar_split_clause,[],[f3405,f3332,f2532,f9077]) ).
fof(f9077,plain,
( spl34_984
<=> ! [X0,X1] :
( m1_relset_1(sK18(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK18(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_984])]) ).
fof(f3332,plain,
( spl34_481
<=> ! [X0,X1] :
( m1_relset_1(sK18(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_481])]) ).
fof(f3405,plain,
( ! [X0,X1] :
( m1_relset_1(sK18(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK18(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) )
| ~ spl34_351
| ~ spl34_481 ),
inference(resolution,[],[f3333,f2533]) ).
fof(f3333,plain,
( ! [X0,X1] :
( ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1)
| m1_relset_1(sK18(X0,X1),X1,X0) )
| ~ spl34_481 ),
inference(avatar_component_clause,[],[f3332]) ).
fof(f9075,plain,
( spl34_983
| ~ spl34_351
| ~ spl34_480 ),
inference(avatar_split_clause,[],[f3399,f3328,f2532,f9073]) ).
fof(f9073,plain,
( spl34_983
<=> ! [X0,X1] :
( m2_relset_1(sK17(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK17(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_983])]) ).
fof(f3328,plain,
( spl34_480
<=> ! [X0,X1] :
( m2_relset_1(sK17(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_480])]) ).
fof(f3399,plain,
( ! [X0,X1] :
( m2_relset_1(sK17(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK17(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) )
| ~ spl34_351
| ~ spl34_480 ),
inference(resolution,[],[f3329,f2533]) ).
fof(f3329,plain,
( ! [X0,X1] :
( ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1)
| m2_relset_1(sK17(X0,X1),X1,X0) )
| ~ spl34_480 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f9071,plain,
( spl34_982
| ~ spl34_351
| ~ spl34_479 ),
inference(avatar_split_clause,[],[f3397,f3324,f2532,f9069]) ).
fof(f9069,plain,
( spl34_982
<=> ! [X0,X1] :
( m1_relset_1(sK17(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK17(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_982])]) ).
fof(f3324,plain,
( spl34_479
<=> ! [X0,X1] :
( m1_relset_1(sK17(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_479])]) ).
fof(f3397,plain,
( ! [X0,X1] :
( m1_relset_1(sK17(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK17(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) )
| ~ spl34_351
| ~ spl34_479 ),
inference(resolution,[],[f3325,f2533]) ).
fof(f3325,plain,
( ! [X0,X1] :
( ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1)
| m1_relset_1(sK17(X0,X1),X1,X0) )
| ~ spl34_479 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f9067,plain,
( spl34_981
| ~ spl34_351
| ~ spl34_478 ),
inference(avatar_split_clause,[],[f3395,f3316,f2532,f9065]) ).
fof(f9065,plain,
( spl34_981
<=> ! [X0,X1] :
( m2_relset_1(sK15(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK15(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_981])]) ).
fof(f3316,plain,
( spl34_478
<=> ! [X0,X1] :
( m2_relset_1(sK15(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_478])]) ).
fof(f3395,plain,
( ! [X0,X1] :
( m2_relset_1(sK15(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK15(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) )
| ~ spl34_351
| ~ spl34_478 ),
inference(resolution,[],[f3317,f2533]) ).
fof(f3317,plain,
( ! [X0,X1] :
( ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1)
| m2_relset_1(sK15(X0,X1),X1,X0) )
| ~ spl34_478 ),
inference(avatar_component_clause,[],[f3316]) ).
fof(f9063,plain,
( spl34_980
| ~ spl34_351
| ~ spl34_477 ),
inference(avatar_split_clause,[],[f3393,f3312,f2532,f9061]) ).
fof(f9061,plain,
( spl34_980
<=> ! [X0,X1] :
( m1_relset_1(sK15(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK15(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_980])]) ).
fof(f3312,plain,
( spl34_477
<=> ! [X0,X1] :
( m1_relset_1(sK15(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_477])]) ).
fof(f3393,plain,
( ! [X0,X1] :
( m1_relset_1(sK15(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X1),u1_struct_0(X0))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_lattice4(k4_relat_1(sK15(u1_struct_0(X0),u1_struct_0(X1))),X0,X1) )
| ~ spl34_351
| ~ spl34_477 ),
inference(resolution,[],[f3313,f2533]) ).
fof(f3313,plain,
( ! [X0,X1] :
( ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1)
| m1_relset_1(sK15(X0,X1),X1,X0) )
| ~ spl34_477 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f9030,plain,
( spl34_541
| spl34_979
| ~ spl34_508
| ~ spl34_563 ),
inference(avatar_split_clause,[],[f4879,f4031,f3539,f9027,f3845]) ).
fof(f3845,plain,
( spl34_541
<=> v3_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_541])]) ).
fof(f4879,plain,
( k7_conlat_2(k7_conlat_2(k7_conlat_2(sK28))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK28)))))
| v3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_508
| ~ spl34_563 ),
inference(resolution,[],[f3541,f4032]) ).
fof(f8854,plain,
( spl34_392
| ~ spl34_374
| ~ spl34_159
| ~ spl34_953 ),
inference(avatar_split_clause,[],[f8778,f8730,f1260,f2696,f2815]) ).
fof(f1260,plain,
( spl34_159
<=> ! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_159])]) ).
fof(f8778,plain,
( ~ l2_conlat_1(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_159
| ~ spl34_953 ),
inference(resolution,[],[f8732,f1261]) ).
fof(f1261,plain,
( ! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_159 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f8732,plain,
( v3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_953 ),
inference(avatar_component_clause,[],[f8730]) ).
fof(f8847,plain,
( ~ spl34_978
| ~ spl34_251
| ~ spl34_913
| spl34_977 ),
inference(avatar_split_clause,[],[f8842,f8838,f8068,f1822,f8844]) ).
fof(f8844,plain,
( spl34_978
<=> v3_struct_0(g3_lattices(sK26,u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_978])]) ).
fof(f8838,plain,
( spl34_977
<=> v3_struct_0(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_977])]) ).
fof(f8842,plain,
( ~ v3_struct_0(g3_lattices(sK26,u1_lattices(sK33),u2_lattices(sK33)))
| ~ spl34_251
| ~ spl34_913
| spl34_977 ),
inference(forward_demodulation,[],[f8840,f8480]) ).
fof(f8840,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33)))
| spl34_977 ),
inference(avatar_component_clause,[],[f8838]) ).
fof(f8841,plain,
( ~ spl34_190
| spl34_913
| ~ spl34_623
| ~ spl34_977
| ~ spl34_625
| ~ spl34_620
| ~ spl34_581
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4729,f4443,f4189,f4427,f4447,f8838,f4439,f8068,f1446]) ).
fof(f4729,plain,
( ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33)))
| ~ v1_funct_1(u1_lattices(sK33))
| v1_xboole_0(u1_struct_0(sK33))
| ~ l2_lattices(sK33)
| ~ spl34_581
| ~ spl34_624 ),
inference(resolution,[],[f4444,f4190]) ).
fof(f8836,plain,
( ~ spl34_976
| ~ spl34_251
| ~ spl34_909
| spl34_975 ),
inference(avatar_split_clause,[],[f8831,f8827,f8031,f1822,f8833]) ).
fof(f8833,plain,
( spl34_976
<=> v3_struct_0(g3_lattices(sK26,u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_976])]) ).
fof(f8827,plain,
( spl34_975
<=> v3_struct_0(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_975])]) ).
fof(f8831,plain,
( ~ v3_struct_0(g3_lattices(sK26,u1_lattices(sK32),u2_lattices(sK32)))
| ~ spl34_251
| ~ spl34_909
| spl34_975 ),
inference(forward_demodulation,[],[f8829,f8411]) ).
fof(f8829,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32)))
| spl34_975 ),
inference(avatar_component_clause,[],[f8827]) ).
fof(f8830,plain,
( ~ spl34_187
| spl34_909
| ~ spl34_616
| ~ spl34_975
| ~ spl34_618
| ~ spl34_613
| ~ spl34_581
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4644,f4409,f4189,f4393,f4413,f8827,f4405,f8031,f1419]) ).
fof(f1419,plain,
( spl34_187
<=> l2_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_187])]) ).
fof(f4644,plain,
( ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32)))
| ~ v1_funct_1(u1_lattices(sK32))
| v1_xboole_0(u1_struct_0(sK32))
| ~ l2_lattices(sK32)
| ~ spl34_581
| ~ spl34_617 ),
inference(resolution,[],[f4410,f4190]) ).
fof(f8825,plain,
( ~ spl34_974
| ~ spl34_251
| ~ spl34_904
| spl34_973 ),
inference(avatar_split_clause,[],[f8819,f8815,f7989,f1822,f8822]) ).
fof(f8822,plain,
( spl34_974
<=> v3_struct_0(g3_lattices(sK26,u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_974])]) ).
fof(f8815,plain,
( spl34_973
<=> v3_struct_0(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_973])]) ).
fof(f8819,plain,
( ~ v3_struct_0(g3_lattices(sK26,u1_lattices(sK31),u2_lattices(sK31)))
| ~ spl34_251
| ~ spl34_904
| spl34_973 ),
inference(forward_demodulation,[],[f8817,f8341]) ).
fof(f8817,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)))
| spl34_973 ),
inference(avatar_component_clause,[],[f8815]) ).
fof(f8818,plain,
( ~ spl34_149
| spl34_904
| ~ spl34_609
| ~ spl34_973
| ~ spl34_611
| ~ spl34_606
| ~ spl34_581
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4577,f4374,f4189,f4358,f4378,f8815,f4370,f7989,f1206]) ).
fof(f1206,plain,
( spl34_149
<=> l2_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_149])]) ).
fof(f4577,plain,
( ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)))
| ~ v1_funct_1(u1_lattices(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| ~ l2_lattices(sK31)
| ~ spl34_581
| ~ spl34_610 ),
inference(resolution,[],[f4375,f4190]) ).
fof(f8813,plain,
( ~ spl34_972
| ~ spl34_251
| ~ spl34_900
| spl34_971 ),
inference(avatar_split_clause,[],[f8808,f8804,f7943,f1822,f8810]) ).
fof(f8810,plain,
( spl34_972
<=> v3_struct_0(g3_lattices(sK26,u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_972])]) ).
fof(f8804,plain,
( spl34_971
<=> v3_struct_0(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_971])]) ).
fof(f8808,plain,
( ~ v3_struct_0(g3_lattices(sK26,u1_lattices(sK30),u2_lattices(sK30)))
| ~ spl34_251
| ~ spl34_900
| spl34_971 ),
inference(forward_demodulation,[],[f8806,f8268]) ).
fof(f8806,plain,
( ~ v3_struct_0(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)))
| spl34_971 ),
inference(avatar_component_clause,[],[f8804]) ).
fof(f8807,plain,
( ~ spl34_140
| spl34_900
| ~ spl34_602
| ~ spl34_971
| ~ spl34_604
| ~ spl34_599
| ~ spl34_581
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4500,f4339,f4189,f4323,f4343,f8804,f4335,f7943,f1169]) ).
fof(f4500,plain,
( ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v3_struct_0(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)))
| ~ v1_funct_1(u1_lattices(sK30))
| v1_xboole_0(u1_struct_0(sK30))
| ~ l2_lattices(sK30)
| ~ spl34_581
| ~ spl34_603 ),
inference(resolution,[],[f4340,f4190]) ).
fof(f8802,plain,
( spl34_970
| ~ spl34_85
| ~ spl34_574 ),
inference(avatar_split_clause,[],[f4142,f4134,f933,f8800]) ).
fof(f8800,plain,
( spl34_970
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0))
| ~ sP1(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_970])]) ).
fof(f933,plain,
( spl34_85
<=> ! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_85])]) ).
fof(f4134,plain,
( spl34_574
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_574])]) ).
fof(f4142,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0))
| ~ sP1(k7_conlat_2(X0)) )
| ~ spl34_85
| ~ spl34_574 ),
inference(resolution,[],[f4135,f934]) ).
fof(f934,plain,
( ! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP1(X0) )
| ~ spl34_85 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f4135,plain,
( ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0)) )
| ~ spl34_574 ),
inference(avatar_component_clause,[],[f4134]) ).
fof(f8798,plain,
( spl34_969
| ~ spl34_95
| ~ spl34_574 ),
inference(avatar_split_clause,[],[f4141,f4134,f974,f8796]) ).
fof(f8796,plain,
( spl34_969
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0))
| ~ sP2(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_969])]) ).
fof(f974,plain,
( spl34_95
<=> ! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_95])]) ).
fof(f4141,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0))
| ~ sP2(k7_conlat_2(X0)) )
| ~ spl34_95
| ~ spl34_574 ),
inference(resolution,[],[f4135,f975]) ).
fof(f975,plain,
( ! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_95 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f8794,plain,
( spl34_968
| ~ spl34_106
| ~ spl34_574 ),
inference(avatar_split_clause,[],[f4140,f4134,f1019,f8792]) ).
fof(f8792,plain,
( spl34_968
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0))
| ~ sP3(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_968])]) ).
fof(f4140,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0))
| ~ sP3(k7_conlat_2(X0)) )
| ~ spl34_106
| ~ spl34_574 ),
inference(resolution,[],[f4135,f1020]) ).
fof(f8790,plain,
( spl34_967
| ~ spl34_85
| ~ spl34_572 ),
inference(avatar_split_clause,[],[f4139,f4125,f933,f8788]) ).
fof(f8788,plain,
( spl34_967
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0))
| ~ sP1(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_967])]) ).
fof(f4125,plain,
( spl34_572
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_572])]) ).
fof(f4139,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0))
| ~ sP1(k7_conlat_2(X0)) )
| ~ spl34_85
| ~ spl34_572 ),
inference(resolution,[],[f4126,f934]) ).
fof(f4126,plain,
( ! [X0] :
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0)) )
| ~ spl34_572 ),
inference(avatar_component_clause,[],[f4125]) ).
fof(f8786,plain,
( spl34_966
| ~ spl34_95
| ~ spl34_572 ),
inference(avatar_split_clause,[],[f4138,f4125,f974,f8784]) ).
fof(f8784,plain,
( spl34_966
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0))
| ~ sP2(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_966])]) ).
fof(f4138,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0))
| ~ sP2(k7_conlat_2(X0)) )
| ~ spl34_95
| ~ spl34_572 ),
inference(resolution,[],[f4126,f975]) ).
fof(f8782,plain,
( spl34_965
| ~ spl34_106
| ~ spl34_572 ),
inference(avatar_split_clause,[],[f4137,f4125,f1019,f8780]) ).
fof(f8780,plain,
( spl34_965
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0))
| ~ sP3(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_965])]) ).
fof(f4137,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0))
| ~ sP3(k7_conlat_2(X0)) )
| ~ spl34_106
| ~ spl34_572 ),
inference(resolution,[],[f4126,f1020]) ).
fof(f8777,plain,
( spl34_964
| ~ spl34_54
| ~ spl34_571 ),
inference(avatar_split_clause,[],[f4123,f4112,f791,f8775]) ).
fof(f8775,plain,
( spl34_964
<=> ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| l1_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_964])]) ).
fof(f4123,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| l1_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) )
| ~ spl34_54
| ~ spl34_571 ),
inference(resolution,[],[f4113,f792]) ).
fof(f8773,plain,
( spl34_963
| ~ spl34_55
| ~ spl34_571 ),
inference(avatar_split_clause,[],[f4122,f4112,f795,f8771]) ).
fof(f8771,plain,
( spl34_963
<=> ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| l2_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_963])]) ).
fof(f4122,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK18(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)
| l2_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0))) )
| ~ spl34_55
| ~ spl34_571 ),
inference(resolution,[],[f4113,f796]) ).
fof(f8769,plain,
( spl34_962
| ~ spl34_224
| ~ spl34_569 ),
inference(avatar_split_clause,[],[f4119,f4104,f1646,f8767]) ).
fof(f8767,plain,
( spl34_962
<=> ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| sK14(X1,X0) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK14(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_962])]) ).
fof(f1646,plain,
( spl34_224
<=> ! [X0,X1] :
( m1_lattice4(sK14(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_224])]) ).
fof(f4119,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| sK14(X1,X0) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK14(X1,X0))) )
| ~ spl34_224
| ~ spl34_569 ),
inference(duplicate_literal_removal,[],[f4116]) ).
fof(f4116,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| sK14(X1,X0) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK14(X1,X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_224
| ~ spl34_569 ),
inference(resolution,[],[f4105,f1647]) ).
fof(f1647,plain,
( ! [X0,X1] :
( m1_lattice4(sK14(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_224 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f8765,plain,
( spl34_961
| ~ spl34_226
| ~ spl34_566 ),
inference(avatar_split_clause,[],[f4089,f4078,f1672,f8763]) ).
fof(f8763,plain,
( spl34_961
<=> ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK11(X1,X0))
| ~ v1_funct_1(sK11(X1,X0))
| ~ l3_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1))
| ~ r1_filter_1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_961])]) ).
fof(f4089,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK11(X1,X0))
| ~ v1_funct_1(sK11(X1,X0))
| ~ l3_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1))
| ~ r1_filter_1(X1,X0) )
| ~ spl34_226
| ~ spl34_566 ),
inference(duplicate_literal_removal,[],[f4088]) ).
fof(f4088,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK11(X1,X0))
| ~ v1_funct_1(sK11(X1,X0))
| ~ l3_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1))
| ~ r1_filter_1(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_226
| ~ spl34_566 ),
inference(resolution,[],[f4079,f1673]) ).
fof(f8761,plain,
( spl34_960
| ~ spl34_150
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4056,f4035,f1211,f8759]) ).
fof(f8759,plain,
( spl34_960
<=> ! [X0,X1] : g2_conlat_1(X0,X1,sK18(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK18(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK18(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK18(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_960])]) ).
fof(f4056,plain,
( ! [X0,X1] : g2_conlat_1(X0,X1,sK18(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK18(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK18(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK18(X0,X1))))
| ~ spl34_150
| ~ spl34_564 ),
inference(resolution,[],[f4036,f1212]) ).
fof(f8757,plain,
( spl34_959
| ~ spl34_148
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4055,f4035,f1202,f8755]) ).
fof(f8755,plain,
( spl34_959
<=> ! [X0,X1] : g2_conlat_1(X0,X1,sK17(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK17(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK17(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK17(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_959])]) ).
fof(f4055,plain,
( ! [X0,X1] : g2_conlat_1(X0,X1,sK17(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK17(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK17(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK17(X0,X1))))
| ~ spl34_148
| ~ spl34_564 ),
inference(resolution,[],[f4036,f1203]) ).
fof(f8753,plain,
( spl34_958
| ~ spl34_262
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4054,f4035,f1916,f8751]) ).
fof(f8751,plain,
( spl34_958
<=> ! [X0,X1] : g2_conlat_1(X0,X1,sK16(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK16(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK16(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK16(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_958])]) ).
fof(f4054,plain,
( ! [X0,X1] : g2_conlat_1(X0,X1,sK16(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK16(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK16(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK16(X0,X1))))
| ~ spl34_262
| ~ spl34_564 ),
inference(resolution,[],[f4036,f1917]) ).
fof(f8749,plain,
( spl34_957
| ~ spl34_146
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4053,f4035,f1194,f8747]) ).
fof(f8747,plain,
( spl34_957
<=> ! [X0,X1] : g2_conlat_1(X0,X1,sK15(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK15(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK15(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK15(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_957])]) ).
fof(f4053,plain,
( ! [X0,X1] : g2_conlat_1(X0,X1,sK15(X0,X1)) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,sK15(X0,X1))),u2_conlat_1(g2_conlat_1(X0,X1,sK15(X0,X1))),u3_conlat_1(g2_conlat_1(X0,X1,sK15(X0,X1))))
| ~ spl34_146
| ~ spl34_564 ),
inference(resolution,[],[f4036,f1195]) ).
fof(f8745,plain,
( spl34_956
| ~ spl34_501
| ~ spl34_519 ),
inference(avatar_split_clause,[],[f3727,f3638,f3507,f8743]) ).
fof(f8743,plain,
( spl34_956
<=> ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(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,[spl34_956])]) ).
fof(f3507,plain,
( spl34_501
<=> ! [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,[spl34_501])]) ).
fof(f3727,plain,
( ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(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) )
| ~ spl34_501
| ~ spl34_519 ),
inference(resolution,[],[f3639,f3508]) ).
fof(f3508,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) )
| ~ spl34_501 ),
inference(avatar_component_clause,[],[f3507]) ).
fof(f8741,plain,
( spl34_955
| ~ spl34_502
| ~ spl34_519 ),
inference(avatar_split_clause,[],[f3726,f3638,f3511,f8739]) ).
fof(f8739,plain,
( spl34_955
<=> ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(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,[spl34_955])]) ).
fof(f3511,plain,
( spl34_502
<=> ! [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,[spl34_502])]) ).
fof(f3726,plain,
( ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(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) )
| ~ spl34_502
| ~ spl34_519 ),
inference(resolution,[],[f3639,f3512]) ).
fof(f3512,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) )
| ~ spl34_502 ),
inference(avatar_component_clause,[],[f3511]) ).
fof(f8737,plain,
( spl34_953
| spl34_954
| ~ spl34_141
| ~ spl34_935 ),
inference(avatar_split_clause,[],[f8502,f8446,f1174,f8734,f8730]) ).
fof(f8734,plain,
( spl34_954
<=> sP1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_954])]) ).
fof(f1174,plain,
( spl34_141
<=> ! [X0] :
( sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_141])]) ).
fof(f8502,plain,
( sP1(k7_conlat_2(k7_conlat_2(sK6)))
| v3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_141
| ~ spl34_935 ),
inference(resolution,[],[f8448,f1175]) ).
fof(f1175,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| sP1(X0)
| v3_conlat_1(X0) )
| ~ spl34_141 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f8700,plain,
( spl34_952
| ~ spl34_202
| ~ spl34_579 ),
inference(avatar_split_clause,[],[f4180,f4160,f1522,f8698]) ).
fof(f8698,plain,
( spl34_952
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l1_lattices(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_952])]) ).
fof(f4180,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l1_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_579 ),
inference(resolution,[],[f4161,f1523]) ).
fof(f8696,plain,
( spl34_951
| ~ spl34_200
| ~ spl34_578 ),
inference(avatar_split_clause,[],[f4177,f4156,f1514,f8694]) ).
fof(f8694,plain,
( spl34_951
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l2_lattices(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_951])]) ).
fof(f4177,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l2_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_578 ),
inference(resolution,[],[f4157,f1515]) ).
fof(f8692,plain,
( spl34_950
| ~ spl34_202
| ~ spl34_577 ),
inference(avatar_split_clause,[],[f4172,f4152,f1522,f8690]) ).
fof(f8690,plain,
( spl34_950
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l1_lattices(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_950])]) ).
fof(f4172,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l1_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_577 ),
inference(resolution,[],[f4153,f1523]) ).
fof(f8688,plain,
( spl34_949
| ~ spl34_200
| ~ spl34_576 ),
inference(avatar_split_clause,[],[f4164,f4148,f1514,f8686]) ).
fof(f8686,plain,
( spl34_949
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l2_lattices(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_949])]) ).
fof(f4164,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l2_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_576 ),
inference(resolution,[],[f4149,f1515]) ).
fof(f8684,plain,
( spl34_948
| ~ spl34_226
| ~ spl34_560 ),
inference(avatar_split_clause,[],[f4043,f4019,f1672,f8682]) ).
fof(f8682,plain,
( spl34_948
<=> ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k4_relat_1(sK11(X1,X0)) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK11(X1,X0))
| ~ r1_filter_1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_948])]) ).
fof(f4043,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k4_relat_1(sK11(X1,X0)) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK11(X1,X0))
| ~ r1_filter_1(X1,X0) )
| ~ spl34_226
| ~ spl34_560 ),
inference(duplicate_literal_removal,[],[f4042]) ).
fof(f4042,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k4_relat_1(sK11(X1,X0)) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK11(X1,X0))
| ~ r1_filter_1(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_226
| ~ spl34_560 ),
inference(resolution,[],[f4020,f1673]) ).
fof(f8597,plain,
( spl34_947
| ~ spl34_226
| ~ spl34_565 ),
inference(avatar_split_clause,[],[f4084,f4074,f1672,f8595]) ).
fof(f8595,plain,
( spl34_947
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))
| ~ r2_hidden(X0,sK11(X1,X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_947])]) ).
fof(f4084,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))
| ~ r2_hidden(X0,sK11(X1,X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(X1,X2) )
| ~ spl34_226
| ~ spl34_565 ),
inference(duplicate_literal_removal,[],[f4083]) ).
fof(f4083,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))
| ~ r2_hidden(X0,sK11(X1,X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r1_filter_1(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_226
| ~ spl34_565 ),
inference(resolution,[],[f4075,f1673]) ).
fof(f8593,plain,
( spl34_946
| ~ spl34_281
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3917,f3889,f2023,f8591]) ).
fof(f3917,plain,
( ! [X0] :
( k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))))
| ~ l2_conlat_1(X0) )
| ~ spl34_281
| ~ spl34_548 ),
inference(resolution,[],[f3890,f2024]) ).
fof(f8589,plain,
( spl34_945
| ~ spl34_500
| ~ spl34_502 ),
inference(avatar_split_clause,[],[f3576,f3511,f3503,f8587]) ).
fof(f8587,plain,
( spl34_945
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| ~ l1_lattices(X1)
| sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_945])]) ).
fof(f3576,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| ~ l1_lattices(X1)
| sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))) )
| ~ spl34_500
| ~ spl34_502 ),
inference(resolution,[],[f3512,f3504]) ).
fof(f8585,plain,
( spl34_944
| ~ spl34_500
| ~ spl34_501 ),
inference(avatar_split_clause,[],[f3575,f3507,f3503,f8583]) ).
fof(f8583,plain,
( spl34_944
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| ~ l2_lattices(X1)
| sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_944])]) ).
fof(f3575,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| ~ l2_lattices(X1)
| sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))))) )
| ~ spl34_500
| ~ spl34_501 ),
inference(resolution,[],[f3508,f3504]) ).
fof(f8581,plain,
( spl34_943
| ~ spl34_188
| ~ spl34_470 ),
inference(avatar_split_clause,[],[f3358,f3284,f1424,f8579]) ).
fof(f8579,plain,
( spl34_943
<=> ! [X2,X0,X1] :
( k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))) = k4_relat_1(u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_943])]) ).
fof(f3358,plain,
( ! [X2,X0,X1] :
( k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))) = k4_relat_1(u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_470 ),
inference(resolution,[],[f3285,f1425]) ).
fof(f8577,plain,
( spl34_942
| ~ spl34_53
| ~ spl34_935 ),
inference(avatar_split_clause,[],[f8501,f8446,f787,f8574]) ).
fof(f8574,plain,
( spl34_942
<=> l1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_942])]) ).
fof(f8501,plain,
( l1_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ spl34_53
| ~ spl34_935 ),
inference(resolution,[],[f8448,f788]) ).
fof(f8541,plain,
( spl34_913
| ~ spl34_625
| ~ spl34_623
| spl34_941
| ~ spl34_216
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4738,f4443,f1600,f8538,f4439,f4447,f8068]) ).
fof(f8538,plain,
( spl34_941
<=> v1_partfun1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_941])]) ).
fof(f1600,plain,
( spl34_216
<=> ! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_216])]) ).
fof(f4738,plain,
( v1_partfun1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| v1_xboole_0(u1_struct_0(sK33))
| ~ spl34_216
| ~ spl34_624 ),
inference(resolution,[],[f4444,f1601]) ).
fof(f1601,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) )
| ~ spl34_216 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f8535,plain,
( ~ spl34_190
| ~ spl34_623
| spl34_940
| ~ spl34_625
| ~ spl34_620
| ~ spl34_576
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4733,f4443,f4148,f4427,f4447,f8532,f4439,f1446]) ).
fof(f8532,plain,
( spl34_940
<=> v3_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_940])]) ).
fof(f4733,plain,
( ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| v3_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33)))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ l2_lattices(sK33)
| ~ spl34_576
| ~ spl34_624 ),
inference(resolution,[],[f4444,f4149]) ).
fof(f8496,plain,
( spl34_939
| ~ spl34_251
| ~ spl34_913
| ~ spl34_938 ),
inference(avatar_split_clause,[],[f8491,f8487,f8068,f1822,f8493]) ).
fof(f8491,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK33),u2_lattices(sK33)))
| ~ spl34_251
| ~ spl34_913
| ~ spl34_938 ),
inference(forward_demodulation,[],[f8489,f8480]) ).
fof(f8490,plain,
( ~ spl34_190
| ~ spl34_623
| spl34_938
| ~ spl34_625
| ~ spl34_620
| ~ spl34_578
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4731,f4443,f4156,f4427,f4447,f8487,f4439,f1446]) ).
fof(f4731,plain,
( ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| l3_lattices(g3_lattices(u1_struct_0(sK33),u1_lattices(sK33),u2_lattices(sK33)))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ l2_lattices(sK33)
| ~ spl34_578
| ~ spl34_624 ),
inference(resolution,[],[f4444,f4157]) ).
fof(f8474,plain,
( spl34_913
| ~ spl34_622
| ~ spl34_620
| spl34_937
| ~ spl34_216
| ~ spl34_621 ),
inference(avatar_split_clause,[],[f4710,f4431,f1600,f8471,f4427,f4435,f8068]) ).
fof(f8471,plain,
( spl34_937
<=> v1_partfun1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_937])]) ).
fof(f4710,plain,
( v1_partfun1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| v1_xboole_0(u1_struct_0(sK33))
| ~ spl34_216
| ~ spl34_621 ),
inference(resolution,[],[f4432,f1601]) ).
fof(f8454,plain,
( spl34_909
| ~ spl34_618
| ~ spl34_616
| spl34_936
| ~ spl34_216
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4653,f4409,f1600,f8451,f4405,f4413,f8031]) ).
fof(f8451,plain,
( spl34_936
<=> v1_partfun1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_936])]) ).
fof(f4653,plain,
( v1_partfun1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| v1_xboole_0(u1_struct_0(sK32))
| ~ spl34_216
| ~ spl34_617 ),
inference(resolution,[],[f4410,f1601]) ).
fof(f8449,plain,
( ~ spl34_326
| spl34_935
| ~ spl34_188
| ~ spl34_907 ),
inference(avatar_split_clause,[],[f8229,f8018,f1424,f8446,f2367]) ).
fof(f8018,plain,
( spl34_907
<=> k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_907])]) ).
fof(f8229,plain,
( l2_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ m1_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_188
| ~ spl34_907 ),
inference(superposition,[],[f1425,f8020]) ).
fof(f8020,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))
| ~ spl34_907 ),
inference(avatar_component_clause,[],[f8018]) ).
fof(f8443,plain,
( ~ spl34_187
| ~ spl34_616
| spl34_934
| ~ spl34_618
| ~ spl34_613
| ~ spl34_576
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4648,f4409,f4148,f4393,f4413,f8440,f4405,f1419]) ).
fof(f8440,plain,
( spl34_934
<=> v3_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_934])]) ).
fof(f4648,plain,
( ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| v3_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32)))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ l2_lattices(sK32)
| ~ spl34_576
| ~ spl34_617 ),
inference(resolution,[],[f4410,f4149]) ).
fof(f8427,plain,
( spl34_933
| ~ spl34_251
| ~ spl34_909
| ~ spl34_932 ),
inference(avatar_split_clause,[],[f8422,f8418,f8031,f1822,f8424]) ).
fof(f8422,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK32),u2_lattices(sK32)))
| ~ spl34_251
| ~ spl34_909
| ~ spl34_932 ),
inference(forward_demodulation,[],[f8420,f8411]) ).
fof(f8421,plain,
( ~ spl34_187
| ~ spl34_616
| spl34_932
| ~ spl34_618
| ~ spl34_613
| ~ spl34_578
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4646,f4409,f4156,f4393,f4413,f8418,f4405,f1419]) ).
fof(f4646,plain,
( ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| l3_lattices(g3_lattices(u1_struct_0(sK32),u1_lattices(sK32),u2_lattices(sK32)))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ l2_lattices(sK32)
| ~ spl34_578
| ~ spl34_617 ),
inference(resolution,[],[f4410,f4157]) ).
fof(f8404,plain,
( spl34_909
| ~ spl34_615
| ~ spl34_613
| spl34_931
| ~ spl34_216
| ~ spl34_614 ),
inference(avatar_split_clause,[],[f4634,f4397,f1600,f8401,f4393,f4401,f8031]) ).
fof(f8401,plain,
( spl34_931
<=> v1_partfun1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_931])]) ).
fof(f4634,plain,
( v1_partfun1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| v1_xboole_0(u1_struct_0(sK32))
| ~ spl34_216
| ~ spl34_614 ),
inference(resolution,[],[f4398,f1601]) ).
fof(f8384,plain,
( spl34_904
| ~ spl34_611
| ~ spl34_609
| spl34_930
| ~ spl34_216
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4586,f4374,f1600,f8381,f4370,f4378,f7989]) ).
fof(f8381,plain,
( spl34_930
<=> v1_partfun1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_930])]) ).
fof(f4586,plain,
( v1_partfun1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| ~ spl34_216
| ~ spl34_610 ),
inference(resolution,[],[f4375,f1601]) ).
fof(f8378,plain,
( ~ spl34_149
| ~ spl34_609
| spl34_929
| ~ spl34_611
| ~ spl34_606
| ~ spl34_576
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4581,f4374,f4148,f4358,f4378,f8375,f4370,f1206]) ).
fof(f8375,plain,
( spl34_929
<=> v3_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_929])]) ).
fof(f4581,plain,
( ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| v3_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ l2_lattices(sK31)
| ~ spl34_576
| ~ spl34_610 ),
inference(resolution,[],[f4375,f4149]) ).
fof(f8362,plain,
( ~ spl34_326
| spl34_928
| ~ spl34_186
| ~ spl34_907 ),
inference(avatar_split_clause,[],[f8228,f8018,f1415,f8359,f2367]) ).
fof(f8359,plain,
( spl34_928
<=> v4_conlat_1(k7_conlat_2(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_928])]) ).
fof(f8228,plain,
( v4_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))
| ~ m1_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_186
| ~ spl34_907 ),
inference(superposition,[],[f1416,f8020]) ).
fof(f8357,plain,
( spl34_927
| ~ spl34_251
| ~ spl34_904
| ~ spl34_926 ),
inference(avatar_split_clause,[],[f8352,f8348,f7989,f1822,f8354]) ).
fof(f8352,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK31),u2_lattices(sK31)))
| ~ spl34_251
| ~ spl34_904
| ~ spl34_926 ),
inference(forward_demodulation,[],[f8350,f8341]) ).
fof(f8351,plain,
( ~ spl34_149
| ~ spl34_609
| spl34_926
| ~ spl34_611
| ~ spl34_606
| ~ spl34_578
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4579,f4374,f4156,f4358,f4378,f8348,f4370,f1206]) ).
fof(f4579,plain,
( ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| l3_lattices(g3_lattices(u1_struct_0(sK31),u1_lattices(sK31),u2_lattices(sK31)))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ l2_lattices(sK31)
| ~ spl34_578
| ~ spl34_610 ),
inference(resolution,[],[f4375,f4157]) ).
fof(f8335,plain,
( spl34_904
| ~ spl34_608
| ~ spl34_606
| spl34_925
| ~ spl34_216
| ~ spl34_607 ),
inference(avatar_split_clause,[],[f4557,f4362,f1600,f8332,f4358,f4366,f7989]) ).
fof(f8332,plain,
( spl34_925
<=> v1_partfun1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_925])]) ).
fof(f4557,plain,
( v1_partfun1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| ~ spl34_216
| ~ spl34_607 ),
inference(resolution,[],[f4363,f1601]) ).
fof(f8315,plain,
( spl34_900
| ~ spl34_604
| ~ spl34_602
| spl34_924
| ~ spl34_216
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4509,f4339,f1600,f8312,f4335,f4343,f7943]) ).
fof(f8312,plain,
( spl34_924
<=> v1_partfun1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_924])]) ).
fof(f4509,plain,
( v1_partfun1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| v1_xboole_0(u1_struct_0(sK30))
| ~ spl34_216
| ~ spl34_603 ),
inference(resolution,[],[f4340,f1601]) ).
fof(f8309,plain,
( ~ spl34_140
| ~ spl34_602
| spl34_923
| ~ spl34_604
| ~ spl34_599
| ~ spl34_576
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4504,f4339,f4148,f4323,f4343,f8306,f4335,f1169]) ).
fof(f8306,plain,
( spl34_923
<=> v3_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_923])]) ).
fof(f4504,plain,
( ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| v3_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ l2_lattices(sK30)
| ~ spl34_576
| ~ spl34_603 ),
inference(resolution,[],[f4340,f4149]) ).
fof(f8284,plain,
( spl34_922
| ~ spl34_251
| ~ spl34_900
| ~ spl34_921 ),
inference(avatar_split_clause,[],[f8279,f8275,f7943,f1822,f8281]) ).
fof(f8279,plain,
( l3_lattices(g3_lattices(sK26,u1_lattices(sK30),u2_lattices(sK30)))
| ~ spl34_251
| ~ spl34_900
| ~ spl34_921 ),
inference(forward_demodulation,[],[f8277,f8268]) ).
fof(f8278,plain,
( ~ spl34_140
| ~ spl34_602
| spl34_921
| ~ spl34_604
| ~ spl34_599
| ~ spl34_578
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4502,f4339,f4156,f4323,f4343,f8275,f4335,f1169]) ).
fof(f4502,plain,
( ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| l3_lattices(g3_lattices(u1_struct_0(sK30),u1_lattices(sK30),u2_lattices(sK30)))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ l2_lattices(sK30)
| ~ spl34_578
| ~ spl34_603 ),
inference(resolution,[],[f4340,f4157]) ).
fof(f8262,plain,
( spl34_900
| ~ spl34_601
| ~ spl34_599
| spl34_920
| ~ spl34_216
| ~ spl34_600 ),
inference(avatar_split_clause,[],[f4481,f4327,f1600,f8259,f4323,f4331,f7943]) ).
fof(f8259,plain,
( spl34_920
<=> v1_partfun1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_920])]) ).
fof(f4481,plain,
( v1_partfun1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| v1_xboole_0(u1_struct_0(sK30))
| ~ spl34_216
| ~ spl34_600 ),
inference(resolution,[],[f4328,f1601]) ).
fof(f8257,plain,
( spl34_919
| ~ spl34_200
| ~ spl34_582 ),
inference(avatar_split_clause,[],[f4205,f4193,f1514,f8255]) ).
fof(f8255,plain,
( spl34_919
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_919])]) ).
fof(f4205,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_582 ),
inference(duplicate_literal_removal,[],[f4203]) ).
fof(f4203,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_582 ),
inference(resolution,[],[f4194,f1515]) ).
fof(f8227,plain,
( spl34_918
| ~ spl34_202
| ~ spl34_581 ),
inference(avatar_split_clause,[],[f4201,f4189,f1522,f8225]) ).
fof(f8225,plain,
( spl34_918
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_918])]) ).
fof(f4201,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_581 ),
inference(duplicate_literal_removal,[],[f4198]) ).
fof(f4198,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_581 ),
inference(resolution,[],[f4190,f1523]) ).
fof(f8223,plain,
( spl34_917
| ~ spl34_224
| ~ spl34_566 ),
inference(avatar_split_clause,[],[f4090,f4078,f1646,f8221]) ).
fof(f8221,plain,
( spl34_917
<=> ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK14(X1,X0))
| ~ v1_funct_1(sK14(X1,X0))
| ~ l3_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_917])]) ).
fof(f4090,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK14(X1,X0))
| ~ v1_funct_1(sK14(X1,X0))
| ~ l3_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl34_224
| ~ spl34_566 ),
inference(duplicate_literal_removal,[],[f4087]) ).
fof(f4087,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK14(X1,X0))
| ~ v1_funct_1(sK14(X1,X0))
| ~ l3_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_224
| ~ spl34_566 ),
inference(resolution,[],[f4079,f1647]) ).
fof(f8100,plain,
( spl34_912
| spl34_913
| ~ spl34_625
| ~ spl34_623
| ~ spl34_916
| ~ spl34_217
| ~ spl34_624 ),
inference(avatar_split_clause,[],[f4737,f4443,f1604,f8097,f4439,f4447,f8068,f8064]) ).
fof(f8064,plain,
( spl34_912
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_912])]) ).
fof(f8097,plain,
( spl34_916
<=> v1_xboole_0(u1_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_916])]) ).
fof(f1604,plain,
( spl34_217
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_217])]) ).
fof(f4737,plain,
( ~ v1_xboole_0(u1_lattices(sK33))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| v1_xboole_0(u1_struct_0(sK33))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)))
| ~ spl34_217
| ~ spl34_624 ),
inference(resolution,[],[f4444,f1605]) ).
fof(f1605,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl34_217 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f8088,plain,
( spl34_915
| ~ spl34_639
| ~ spl34_827 ),
inference(avatar_split_clause,[],[f6978,f6872,f4829,f8085]) ).
fof(f8085,plain,
( spl34_915
<=> u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_915])]) ).
fof(f6978,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(sK6))
| ~ spl34_639
| ~ spl34_827 ),
inference(superposition,[],[f4831,f6874]) ).
fof(f8075,plain,
( spl34_912
| spl34_913
| ~ spl34_622
| ~ spl34_620
| ~ spl34_914
| ~ spl34_217
| ~ spl34_621 ),
inference(avatar_split_clause,[],[f4709,f4431,f1604,f8072,f4427,f4435,f8068,f8064]) ).
fof(f8072,plain,
( spl34_914
<=> v1_xboole_0(u2_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_914])]) ).
fof(f4709,plain,
( ~ v1_xboole_0(u2_lattices(sK33))
| ~ v1_funct_1(u2_lattices(sK33))
| ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| v1_xboole_0(u1_struct_0(sK33))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)))
| ~ spl34_217
| ~ spl34_621 ),
inference(resolution,[],[f4432,f1605]) ).
fof(f8058,plain,
( spl34_908
| spl34_909
| ~ spl34_618
| ~ spl34_616
| ~ spl34_911
| ~ spl34_217
| ~ spl34_617 ),
inference(avatar_split_clause,[],[f4652,f4409,f1604,f8055,f4405,f4413,f8031,f8027]) ).
fof(f8027,plain,
( spl34_908
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_908])]) ).
fof(f8055,plain,
( spl34_911
<=> v1_xboole_0(u1_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_911])]) ).
fof(f4652,plain,
( ~ v1_xboole_0(u1_lattices(sK32))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| v1_xboole_0(u1_struct_0(sK32))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)))
| ~ spl34_217
| ~ spl34_617 ),
inference(resolution,[],[f4410,f1605]) ).
fof(f8038,plain,
( spl34_908
| spl34_909
| ~ spl34_615
| ~ spl34_613
| ~ spl34_910
| ~ spl34_217
| ~ spl34_614 ),
inference(avatar_split_clause,[],[f4633,f4397,f1604,f8035,f4393,f4401,f8031,f8027]) ).
fof(f8035,plain,
( spl34_910
<=> v1_xboole_0(u2_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_910])]) ).
fof(f4633,plain,
( ~ v1_xboole_0(u2_lattices(sK32))
| ~ v1_funct_1(u2_lattices(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| v1_xboole_0(u1_struct_0(sK32))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)))
| ~ spl34_217
| ~ spl34_614 ),
inference(resolution,[],[f4398,f1605]) ).
fof(f8021,plain,
( spl34_907
| ~ spl34_646
| ~ spl34_827 ),
inference(avatar_split_clause,[],[f6977,f6872,f4913,f8018]) ).
fof(f6977,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))
| ~ spl34_646
| ~ spl34_827 ),
inference(superposition,[],[f4915,f6874]) ).
fof(f8016,plain,
( spl34_903
| spl34_904
| ~ spl34_611
| ~ spl34_609
| ~ spl34_906
| ~ spl34_217
| ~ spl34_610 ),
inference(avatar_split_clause,[],[f4585,f4374,f1604,f8013,f4370,f4378,f7989,f7985]) ).
fof(f7985,plain,
( spl34_903
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_903])]) ).
fof(f8013,plain,
( spl34_906
<=> v1_xboole_0(u1_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_906])]) ).
fof(f4585,plain,
( ~ v1_xboole_0(u1_lattices(sK31))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)))
| ~ spl34_217
| ~ spl34_610 ),
inference(resolution,[],[f4375,f1605]) ).
fof(f7996,plain,
( spl34_903
| spl34_904
| ~ spl34_608
| ~ spl34_606
| ~ spl34_905
| ~ spl34_217
| ~ spl34_607 ),
inference(avatar_split_clause,[],[f4556,f4362,f1604,f7993,f4358,f4366,f7989,f7985]) ).
fof(f7993,plain,
( spl34_905
<=> v1_xboole_0(u2_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_905])]) ).
fof(f4556,plain,
( ~ v1_xboole_0(u2_lattices(sK31))
| ~ v1_funct_1(u2_lattices(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| v1_xboole_0(u1_struct_0(sK31))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)))
| ~ spl34_217
| ~ spl34_607 ),
inference(resolution,[],[f4363,f1605]) ).
fof(f7979,plain,
( spl34_899
| spl34_900
| ~ spl34_604
| ~ spl34_602
| ~ spl34_902
| ~ spl34_217
| ~ spl34_603 ),
inference(avatar_split_clause,[],[f4508,f4339,f1604,f7976,f4335,f4343,f7943,f7939]) ).
fof(f7939,plain,
( spl34_899
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_899])]) ).
fof(f7976,plain,
( spl34_902
<=> v1_xboole_0(u1_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_902])]) ).
fof(f4508,plain,
( ~ v1_xboole_0(u1_lattices(sK30))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| v1_xboole_0(u1_struct_0(sK30))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)))
| ~ spl34_217
| ~ spl34_603 ),
inference(resolution,[],[f4340,f1605]) ).
fof(f7950,plain,
( spl34_899
| spl34_900
| ~ spl34_601
| ~ spl34_599
| ~ spl34_901
| ~ spl34_217
| ~ spl34_600 ),
inference(avatar_split_clause,[],[f4480,f4327,f1604,f7947,f4323,f4331,f7943,f7939]) ).
fof(f7947,plain,
( spl34_901
<=> v1_xboole_0(u2_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_901])]) ).
fof(f4480,plain,
( ~ v1_xboole_0(u2_lattices(sK30))
| ~ v1_funct_1(u2_lattices(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| v1_xboole_0(u1_struct_0(sK30))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)))
| ~ spl34_217
| ~ spl34_600 ),
inference(resolution,[],[f4328,f1605]) ).
fof(f7937,plain,
( spl34_898
| ~ spl34_224
| ~ spl34_560 ),
inference(avatar_split_clause,[],[f4044,f4019,f1646,f7935]) ).
fof(f7935,plain,
( spl34_898
<=> ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k4_relat_1(sK14(X1,X0)) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK14(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_898])]) ).
fof(f4044,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k4_relat_1(sK14(X1,X0)) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK14(X1,X0)) )
| ~ spl34_224
| ~ spl34_560 ),
inference(duplicate_literal_removal,[],[f4041]) ).
fof(f4041,plain,
( ! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| k4_relat_1(sK14(X1,X0)) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),sK14(X1,X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_224
| ~ spl34_560 ),
inference(resolution,[],[f4020,f1647]) ).
fof(f7933,plain,
( spl34_897
| ~ spl34_304
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3912,f3889,f2142,f7931]) ).
fof(f7931,plain,
( spl34_897
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X1,X0,X2)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k6_relset_1(X0,X1,k6_relset_1(X1,X0,X2))))
| ~ m1_relset_1(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_897])]) ).
fof(f3912,plain,
( ! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X1,X0,X2)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k6_relset_1(X0,X1,k6_relset_1(X1,X0,X2))))
| ~ m1_relset_1(X2,X1,X0) )
| ~ spl34_304
| ~ spl34_548 ),
inference(resolution,[],[f3890,f2143]) ).
fof(f7929,plain,
( spl34_896
| ~ spl34_161
| ~ spl34_520 ),
inference(avatar_split_clause,[],[f3755,f3642,f1268,f7927]) ).
fof(f3755,plain,
( ! [X0] :
( u3_conlat_1(k7_conlat_2(X0)) = k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_520 ),
inference(resolution,[],[f3643,f1269]) ).
fof(f7925,plain,
( spl34_895
| ~ spl34_176
| ~ spl34_516 ),
inference(avatar_split_clause,[],[f3620,f3608,f1343,f7923]) ).
fof(f7923,plain,
( spl34_895
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| ~ l1_lattices(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_895])]) ).
fof(f1343,plain,
( spl34_176
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_176])]) ).
fof(f3608,plain,
( spl34_516
<=> ! [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,[spl34_516])]) ).
fof(f3620,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_lattices(X1))
| ~ l1_lattices(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) )
| ~ spl34_176
| ~ spl34_516 ),
inference(resolution,[],[f3609,f1344]) ).
fof(f1344,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl34_176 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f3609,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ r2_hidden(X0,u1_lattices(X1))
| ~ l1_lattices(X1) )
| ~ spl34_516 ),
inference(avatar_component_clause,[],[f3608]) ).
fof(f7921,plain,
( spl34_894
| ~ spl34_176
| ~ spl34_515 ),
inference(avatar_split_clause,[],[f3619,f3604,f1343,f7919]) ).
fof(f7919,plain,
( spl34_894
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| ~ l2_lattices(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_894])]) ).
fof(f3604,plain,
( spl34_515
<=> ! [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,[spl34_515])]) ).
fof(f3619,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u2_lattices(X1))
| ~ l2_lattices(X1)
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))) )
| ~ spl34_176
| ~ spl34_515 ),
inference(resolution,[],[f3605,f1344]) ).
fof(f3605,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ r2_hidden(X0,u2_lattices(X1))
| ~ l2_lattices(X1) )
| ~ spl34_515 ),
inference(avatar_component_clause,[],[f3604]) ).
fof(f7907,plain,
( spl34_893
| ~ spl34_573
| ~ spl34_822 ),
inference(avatar_split_clause,[],[f6839,f6794,f4129,f7904]) ).
fof(f7904,plain,
( spl34_893
<=> u3_conlat_1(sK6) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_893])]) ).
fof(f6839,plain,
( u3_conlat_1(sK6) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_573
| ~ spl34_822 ),
inference(superposition,[],[f4131,f6796]) ).
fof(f7902,plain,
( spl34_892
| ~ spl34_224
| ~ spl34_565 ),
inference(avatar_split_clause,[],[f4085,f4074,f1646,f7900]) ).
fof(f7900,plain,
( spl34_892
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))
| ~ r2_hidden(X0,sK14(X1,X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_892])]) ).
fof(f4085,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))
| ~ r2_hidden(X0,sK14(X1,X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_224
| ~ spl34_565 ),
inference(duplicate_literal_removal,[],[f4082]) ).
fof(f4082,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))
| ~ r2_hidden(X0,sK14(X1,X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_224
| ~ spl34_565 ),
inference(resolution,[],[f4075,f1647]) ).
fof(f7898,plain,
( spl34_891
| ~ spl34_161
| ~ spl34_533 ),
inference(avatar_split_clause,[],[f3821,f3713,f1268,f7896]) ).
fof(f7896,plain,
( spl34_891
<=> ! [X0] :
( k11_conlat_1(k7_conlat_2(X0)) = g3_lattices(u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),u2_lattices(k11_conlat_1(k7_conlat_2(X0))),u1_lattices(k11_conlat_1(k7_conlat_2(X0))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_891])]) ).
fof(f3821,plain,
( ! [X0] :
( k11_conlat_1(k7_conlat_2(X0)) = g3_lattices(u1_struct_0(k11_conlat_1(k7_conlat_2(X0))),u2_lattices(k11_conlat_1(k7_conlat_2(X0))),u1_lattices(k11_conlat_1(k7_conlat_2(X0))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_533 ),
inference(resolution,[],[f3714,f1269]) ).
fof(f7894,plain,
( spl34_890
| ~ spl34_161
| ~ spl34_530 ),
inference(avatar_split_clause,[],[f3814,f3684,f1268,f7892]) ).
fof(f7892,plain,
( spl34_890
<=> ! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u2_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u3_conlat_1(k7_conlat_2(k7_conlat_2(X0))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_890])]) ).
fof(f3814,plain,
( ! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u2_conlat_1(k7_conlat_2(k7_conlat_2(X0))),u3_conlat_1(k7_conlat_2(k7_conlat_2(X0))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_530 ),
inference(resolution,[],[f3685,f1269]) ).
fof(f7890,plain,
( spl34_889
| ~ spl34_336
| ~ spl34_504 ),
inference(avatar_split_clause,[],[f3587,f3519,f2438,f7888]) ).
fof(f7888,plain,
( spl34_889
<=> ! [X0,X3,X2,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_889])]) ).
fof(f2438,plain,
( spl34_336
<=> ! [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,[spl34_336])]) ).
fof(f3519,plain,
( spl34_504
<=> ! [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,[spl34_504])]) ).
fof(f3587,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) )
| ~ spl34_336
| ~ spl34_504 ),
inference(resolution,[],[f3520,f2439]) ).
fof(f2439,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) )
| ~ spl34_336 ),
inference(avatar_component_clause,[],[f2438]) ).
fof(f3520,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl34_504 ),
inference(avatar_component_clause,[],[f3519]) ).
fof(f7711,plain,
( spl34_888
| ~ spl34_825
| ~ spl34_887 ),
inference(avatar_split_clause,[],[f7706,f7702,f6816,f7708]) ).
fof(f7708,plain,
( spl34_888
<=> k4_relat_1(u1_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_888])]) ).
fof(f6816,plain,
( spl34_825
<=> u1_lattices(sK33) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_825])]) ).
fof(f7702,plain,
( spl34_887
<=> k4_relat_1(u1_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_887])]) ).
fof(f7706,plain,
( k4_relat_1(u1_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_lattices(sK33))
| ~ spl34_825
| ~ spl34_887 ),
inference(forward_demodulation,[],[f7704,f6818]) ).
fof(f6818,plain,
( u1_lattices(sK33) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33)))
| ~ spl34_825 ),
inference(avatar_component_clause,[],[f6816]) ).
fof(f7704,plain,
( k4_relat_1(u1_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33))))
| ~ spl34_887 ),
inference(avatar_component_clause,[],[f7702]) ).
fof(f7705,plain,
( spl34_887
| ~ spl34_138
| ~ spl34_517
| ~ spl34_548
| ~ spl34_625 ),
inference(avatar_split_clause,[],[f4724,f4447,f3889,f3612,f1159,f7702]) ).
fof(f3612,plain,
( spl34_517
<=> ! [X0] :
( ~ l1_lattices(X0)
| k4_relat_1(u1_lattices(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_517])]) ).
fof(f4724,plain,
( k4_relat_1(u1_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33))))
| ~ spl34_138
| ~ spl34_517
| ~ spl34_548
| ~ spl34_625 ),
inference(forward_demodulation,[],[f4719,f3628]) ).
fof(f3628,plain,
( k4_relat_1(u1_lattices(sK33)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))
| ~ spl34_138
| ~ spl34_517 ),
inference(resolution,[],[f3613,f1161]) ).
fof(f3613,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| k4_relat_1(u1_lattices(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) )
| ~ spl34_517 ),
inference(avatar_component_clause,[],[f3612]) ).
fof(f4719,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))))
| ~ spl34_548
| ~ spl34_625 ),
inference(resolution,[],[f4448,f3890]) ).
fof(f7693,plain,
( spl34_886
| ~ spl34_823
| ~ spl34_885 ),
inference(avatar_split_clause,[],[f7688,f7684,f6799,f7690]) ).
fof(f7690,plain,
( spl34_886
<=> k4_relat_1(u2_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u2_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_886])]) ).
fof(f6799,plain,
( spl34_823
<=> u2_lattices(sK33) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_823])]) ).
fof(f7684,plain,
( spl34_885
<=> k4_relat_1(u2_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_885])]) ).
fof(f7688,plain,
( k4_relat_1(u2_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u2_lattices(sK33))
| ~ spl34_823
| ~ spl34_885 ),
inference(forward_demodulation,[],[f7686,f6801]) ).
fof(f6801,plain,
( u2_lattices(sK33) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33)))
| ~ spl34_823 ),
inference(avatar_component_clause,[],[f6799]) ).
fof(f7686,plain,
( k4_relat_1(u2_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33))))
| ~ spl34_885 ),
inference(avatar_component_clause,[],[f7684]) ).
fof(f7687,plain,
( spl34_885
| ~ spl34_190
| ~ spl34_518
| ~ spl34_548
| ~ spl34_622 ),
inference(avatar_split_clause,[],[f4696,f4435,f3889,f3616,f1446,f7684]) ).
fof(f3616,plain,
( spl34_518
<=> ! [X0] :
( ~ l2_lattices(X0)
| k4_relat_1(u2_lattices(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_518])]) ).
fof(f4696,plain,
( k4_relat_1(u2_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33))))
| ~ spl34_190
| ~ spl34_518
| ~ spl34_548
| ~ spl34_622 ),
inference(forward_demodulation,[],[f4691,f3636]) ).
fof(f3636,plain,
( k4_relat_1(u2_lattices(sK33)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))
| ~ spl34_190
| ~ spl34_518 ),
inference(resolution,[],[f3617,f1448]) ).
fof(f3617,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| k4_relat_1(u2_lattices(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) )
| ~ spl34_518 ),
inference(avatar_component_clause,[],[f3616]) ).
fof(f4691,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))))
| ~ spl34_548
| ~ spl34_622 ),
inference(resolution,[],[f4436,f3890]) ).
fof(f7674,plain,
( spl34_884
| ~ spl34_790
| ~ spl34_883 ),
inference(avatar_split_clause,[],[f7669,f7665,f6280,f7671]) ).
fof(f7671,plain,
( spl34_884
<=> k4_relat_1(u1_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_884])]) ).
fof(f6280,plain,
( spl34_790
<=> u1_lattices(sK32) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u1_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_790])]) ).
fof(f7665,plain,
( spl34_883
<=> k4_relat_1(u1_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u1_lattices(sK32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_883])]) ).
fof(f7669,plain,
( k4_relat_1(u1_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_lattices(sK32))
| ~ spl34_790
| ~ spl34_883 ),
inference(forward_demodulation,[],[f7667,f6282]) ).
fof(f6282,plain,
( u1_lattices(sK32) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u1_lattices(sK32)))
| ~ spl34_790 ),
inference(avatar_component_clause,[],[f6280]) ).
fof(f7667,plain,
( k4_relat_1(u1_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u1_lattices(sK32))))
| ~ spl34_883 ),
inference(avatar_component_clause,[],[f7665]) ).
fof(f7668,plain,
( spl34_883
| ~ spl34_137
| ~ spl34_517
| ~ spl34_548
| ~ spl34_618 ),
inference(avatar_split_clause,[],[f4663,f4413,f3889,f3612,f1154,f7665]) ).
fof(f1154,plain,
( spl34_137
<=> l1_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_137])]) ).
fof(f4663,plain,
( k4_relat_1(u1_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u1_lattices(sK32))))
| ~ spl34_137
| ~ spl34_517
| ~ spl34_548
| ~ spl34_618 ),
inference(forward_demodulation,[],[f4658,f3627]) ).
fof(f3627,plain,
( k4_relat_1(u1_lattices(sK32)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))
| ~ spl34_137
| ~ spl34_517 ),
inference(resolution,[],[f3613,f1156]) ).
fof(f1156,plain,
( l1_lattices(sK32)
| ~ spl34_137 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f4658,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))))
| ~ spl34_548
| ~ spl34_618 ),
inference(resolution,[],[f4414,f3890]) ).
fof(f7656,plain,
( spl34_882
| ~ spl34_789
| ~ spl34_881 ),
inference(avatar_split_clause,[],[f7651,f7647,f6275,f7653]) ).
fof(f7653,plain,
( spl34_882
<=> k4_relat_1(u2_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u2_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_882])]) ).
fof(f6275,plain,
( spl34_789
<=> u2_lattices(sK32) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_789])]) ).
fof(f7647,plain,
( spl34_881
<=> k4_relat_1(u2_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u2_lattices(sK32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_881])]) ).
fof(f7651,plain,
( k4_relat_1(u2_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u2_lattices(sK32))
| ~ spl34_789
| ~ spl34_881 ),
inference(forward_demodulation,[],[f7649,f6277]) ).
fof(f6277,plain,
( u2_lattices(sK32) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u2_lattices(sK32)))
| ~ spl34_789 ),
inference(avatar_component_clause,[],[f6275]) ).
fof(f7649,plain,
( k4_relat_1(u2_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u2_lattices(sK32))))
| ~ spl34_881 ),
inference(avatar_component_clause,[],[f7647]) ).
fof(f7650,plain,
( spl34_881
| ~ spl34_187
| ~ spl34_518
| ~ spl34_548
| ~ spl34_615 ),
inference(avatar_split_clause,[],[f4619,f4401,f3889,f3616,f1419,f7647]) ).
fof(f4619,plain,
( k4_relat_1(u2_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u2_lattices(sK32))))
| ~ spl34_187
| ~ spl34_518
| ~ spl34_548
| ~ spl34_615 ),
inference(forward_demodulation,[],[f4614,f3635]) ).
fof(f3635,plain,
( k4_relat_1(u2_lattices(sK32)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))
| ~ spl34_187
| ~ spl34_518 ),
inference(resolution,[],[f3617,f1421]) ).
fof(f1421,plain,
( l2_lattices(sK32)
| ~ spl34_187 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f4614,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))))
| ~ spl34_548
| ~ spl34_615 ),
inference(resolution,[],[f4402,f3890]) ).
fof(f7638,plain,
( spl34_880
| ~ spl34_788
| ~ spl34_879 ),
inference(avatar_split_clause,[],[f7633,f7629,f6270,f7635]) ).
fof(f7635,plain,
( spl34_880
<=> k4_relat_1(u1_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_880])]) ).
fof(f6270,plain,
( spl34_788
<=> u1_lattices(sK31) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u1_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_788])]) ).
fof(f7629,plain,
( spl34_879
<=> k4_relat_1(u1_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u1_lattices(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_879])]) ).
fof(f7633,plain,
( k4_relat_1(u1_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_lattices(sK31))
| ~ spl34_788
| ~ spl34_879 ),
inference(forward_demodulation,[],[f7631,f6272]) ).
fof(f6272,plain,
( u1_lattices(sK31) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u1_lattices(sK31)))
| ~ spl34_788 ),
inference(avatar_component_clause,[],[f6270]) ).
fof(f7631,plain,
( k4_relat_1(u1_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u1_lattices(sK31))))
| ~ spl34_879 ),
inference(avatar_component_clause,[],[f7629]) ).
fof(f7632,plain,
( spl34_879
| ~ spl34_136
| ~ spl34_517
| ~ spl34_548
| ~ spl34_611 ),
inference(avatar_split_clause,[],[f4571,f4378,f3889,f3612,f1149,f7629]) ).
fof(f1149,plain,
( spl34_136
<=> l1_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_136])]) ).
fof(f4571,plain,
( k4_relat_1(u1_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u1_lattices(sK31))))
| ~ spl34_136
| ~ spl34_517
| ~ spl34_548
| ~ spl34_611 ),
inference(forward_demodulation,[],[f4566,f3626]) ).
fof(f3626,plain,
( k4_relat_1(u1_lattices(sK31)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))
| ~ spl34_136
| ~ spl34_517 ),
inference(resolution,[],[f3613,f1151]) ).
fof(f1151,plain,
( l1_lattices(sK31)
| ~ spl34_136 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f4566,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))))
| ~ spl34_548
| ~ spl34_611 ),
inference(resolution,[],[f4379,f3890]) ).
fof(f7620,plain,
( spl34_878
| ~ spl34_787
| ~ spl34_876 ),
inference(avatar_split_clause,[],[f7610,f7606,f6265,f7617]) ).
fof(f7617,plain,
( spl34_878
<=> k4_relat_1(u2_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u2_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_878])]) ).
fof(f6265,plain,
( spl34_787
<=> u2_lattices(sK31) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_787])]) ).
fof(f7606,plain,
( spl34_876
<=> k4_relat_1(u2_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u2_lattices(sK31)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_876])]) ).
fof(f7610,plain,
( k4_relat_1(u2_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u2_lattices(sK31))
| ~ spl34_787
| ~ spl34_876 ),
inference(forward_demodulation,[],[f7608,f6267]) ).
fof(f6267,plain,
( u2_lattices(sK31) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u2_lattices(sK31)))
| ~ spl34_787 ),
inference(avatar_component_clause,[],[f6265]) ).
fof(f7608,plain,
( k4_relat_1(u2_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u2_lattices(sK31))))
| ~ spl34_876 ),
inference(avatar_component_clause,[],[f7606]) ).
fof(f7615,plain,
( spl34_877
| ~ spl34_635
| ~ spl34_640
| ~ spl34_642 ),
inference(avatar_split_clause,[],[f4927,f4883,f4834,f4770,f7612]) ).
fof(f7612,plain,
( spl34_877
<=> k7_conlat_2(sK6) = g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_877])]) ).
fof(f4927,plain,
( k7_conlat_2(sK6) = g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_635
| ~ spl34_640
| ~ spl34_642 ),
inference(forward_demodulation,[],[f4917,f4885]) ).
fof(f4917,plain,
( k7_conlat_2(sK6) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_635
| ~ spl34_640 ),
inference(superposition,[],[f4772,f4836]) ).
fof(f7609,plain,
( spl34_876
| ~ spl34_149
| ~ spl34_518
| ~ spl34_548
| ~ spl34_608 ),
inference(avatar_split_clause,[],[f4542,f4366,f3889,f3616,f1206,f7606]) ).
fof(f4542,plain,
( k4_relat_1(u2_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u2_lattices(sK31))))
| ~ spl34_149
| ~ spl34_518
| ~ spl34_548
| ~ spl34_608 ),
inference(forward_demodulation,[],[f4537,f3634]) ).
fof(f3634,plain,
( k4_relat_1(u2_lattices(sK31)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))
| ~ spl34_149
| ~ spl34_518 ),
inference(resolution,[],[f3617,f1208]) ).
fof(f1208,plain,
( l2_lattices(sK31)
| ~ spl34_149 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f4537,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))))
| ~ spl34_548
| ~ spl34_608 ),
inference(resolution,[],[f4367,f3890]) ).
fof(f7597,plain,
( spl34_875
| ~ spl34_820
| ~ spl34_874 ),
inference(avatar_split_clause,[],[f7592,f7588,f6777,f7594]) ).
fof(f7594,plain,
( spl34_875
<=> k4_relat_1(u1_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_875])]) ).
fof(f6777,plain,
( spl34_820
<=> u1_lattices(sK30) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_820])]) ).
fof(f7588,plain,
( spl34_874
<=> k4_relat_1(u1_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_874])]) ).
fof(f7592,plain,
( k4_relat_1(u1_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_lattices(sK30))
| ~ spl34_820
| ~ spl34_874 ),
inference(forward_demodulation,[],[f7590,f6779]) ).
fof(f6779,plain,
( u1_lattices(sK30) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30)))
| ~ spl34_820 ),
inference(avatar_component_clause,[],[f6777]) ).
fof(f7590,plain,
( k4_relat_1(u1_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30))))
| ~ spl34_874 ),
inference(avatar_component_clause,[],[f7588]) ).
fof(f7591,plain,
( spl34_874
| ~ spl34_135
| ~ spl34_517
| ~ spl34_548
| ~ spl34_604 ),
inference(avatar_split_clause,[],[f4495,f4343,f3889,f3612,f1144,f7588]) ).
fof(f4495,plain,
( k4_relat_1(u1_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30))))
| ~ spl34_135
| ~ spl34_517
| ~ spl34_548
| ~ spl34_604 ),
inference(forward_demodulation,[],[f4490,f3625]) ).
fof(f3625,plain,
( k4_relat_1(u1_lattices(sK30)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))
| ~ spl34_135
| ~ spl34_517 ),
inference(resolution,[],[f3613,f1146]) ).
fof(f4490,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))))
| ~ spl34_548
| ~ spl34_604 ),
inference(resolution,[],[f4344,f3890]) ).
fof(f7579,plain,
( spl34_873
| ~ spl34_818
| ~ spl34_872 ),
inference(avatar_split_clause,[],[f7574,f7570,f6760,f7576]) ).
fof(f7576,plain,
( spl34_873
<=> k4_relat_1(u2_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u2_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_873])]) ).
fof(f6760,plain,
( spl34_818
<=> u2_lattices(sK30) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_818])]) ).
fof(f7570,plain,
( spl34_872
<=> k4_relat_1(u2_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_872])]) ).
fof(f7574,plain,
( k4_relat_1(u2_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u2_lattices(sK30))
| ~ spl34_818
| ~ spl34_872 ),
inference(forward_demodulation,[],[f7572,f6762]) ).
fof(f6762,plain,
( u2_lattices(sK30) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30)))
| ~ spl34_818 ),
inference(avatar_component_clause,[],[f6760]) ).
fof(f7572,plain,
( k4_relat_1(u2_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30))))
| ~ spl34_872 ),
inference(avatar_component_clause,[],[f7570]) ).
fof(f7573,plain,
( spl34_872
| ~ spl34_140
| ~ spl34_518
| ~ spl34_548
| ~ spl34_601 ),
inference(avatar_split_clause,[],[f4463,f4331,f3889,f3616,f1169,f7570]) ).
fof(f4463,plain,
( k4_relat_1(u2_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30))))
| ~ spl34_140
| ~ spl34_518
| ~ spl34_548
| ~ spl34_601 ),
inference(forward_demodulation,[],[f4458,f3633]) ).
fof(f3633,plain,
( k4_relat_1(u2_lattices(sK30)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))
| ~ spl34_140
| ~ spl34_518 ),
inference(resolution,[],[f3617,f1171]) ).
fof(f4458,plain,
( k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))))
| ~ spl34_548
| ~ spl34_601 ),
inference(resolution,[],[f4332,f3890]) ).
fof(f7568,plain,
( spl34_871
| ~ spl34_200
| ~ spl34_579 ),
inference(avatar_split_clause,[],[f4183,f4160,f1514,f7566]) ).
fof(f4183,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_579 ),
inference(duplicate_literal_removal,[],[f4181]) ).
fof(f4181,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_579 ),
inference(resolution,[],[f4161,f1515]) ).
fof(f7564,plain,
( spl34_870
| ~ spl34_202
| ~ spl34_578 ),
inference(avatar_split_clause,[],[f4179,f4156,f1522,f7562]) ).
fof(f4179,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_578 ),
inference(duplicate_literal_removal,[],[f4176]) ).
fof(f4176,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_578 ),
inference(resolution,[],[f4157,f1523]) ).
fof(f7560,plain,
( spl34_869
| ~ spl34_200
| ~ spl34_577 ),
inference(avatar_split_clause,[],[f4175,f4152,f1514,f7558]) ).
fof(f4175,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_577 ),
inference(duplicate_literal_removal,[],[f4173]) ).
fof(f4173,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u1_lattices(X0),u1_lattices(X0)))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_577 ),
inference(resolution,[],[f4153,f1515]) ).
fof(f7555,plain,
( spl34_868
| ~ spl34_248
| ~ spl34_584 ),
inference(avatar_split_clause,[],[f4751,f4212,f1801,f7552]) ).
fof(f7552,plain,
( spl34_868
<=> k7_conlat_2(sK6) = g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_868])]) ).
fof(f1801,plain,
( spl34_248
<=> k7_conlat_2(sK6) = g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_248])]) ).
fof(f4751,plain,
( k7_conlat_2(sK6) = g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_248
| ~ spl34_584 ),
inference(superposition,[],[f1803,f4214]) ).
fof(f1803,plain,
( k7_conlat_2(sK6) = g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))
| ~ spl34_248 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f7550,plain,
( spl34_867
| ~ spl34_202
| ~ spl34_576 ),
inference(avatar_split_clause,[],[f4166,f4148,f1522,f7548]) ).
fof(f4166,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_576 ),
inference(duplicate_literal_removal,[],[f4163]) ).
fof(f4163,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),u2_lattices(X0),u2_lattices(X0)))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_576 ),
inference(resolution,[],[f4149,f1523]) ).
fof(f7545,plain,
( spl34_16
| spl34_583
| ~ spl34_15
| ~ spl34_563 ),
inference(avatar_split_clause,[],[f4050,f4031,f602,f4207,f607]) ).
fof(f607,plain,
( spl34_16
<=> v3_conlat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_16])]) ).
fof(f4207,plain,
( spl34_583
<=> k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(k7_conlat_2(sK28)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_583])]) ).
fof(f4050,plain,
( k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(k7_conlat_2(sK28)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))))
| v3_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_563 ),
inference(resolution,[],[f4032,f604]) ).
fof(f7544,plain,
( spl34_866
| ~ spl34_281
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3775,f3664,f2023,f7542]) ).
fof(f3775,plain,
( ! [X0] :
( k6_relset_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) = k4_relat_1(k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0) )
| ~ spl34_281
| ~ spl34_525 ),
inference(resolution,[],[f3665,f2024]) ).
fof(f7540,plain,
( spl34_865
| ~ spl34_304
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3770,f3664,f2142,f7538]) ).
fof(f7538,plain,
( spl34_865
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))) = k4_relat_1(k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_865])]) ).
fof(f3770,plain,
( ! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))) = k4_relat_1(k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_304
| ~ spl34_525 ),
inference(resolution,[],[f3665,f2143]) ).
fof(f7536,plain,
( spl34_864
| ~ spl34_463
| ~ spl34_519 ),
inference(avatar_split_clause,[],[f3725,f3638,f3209,f7534]) ).
fof(f7534,plain,
( spl34_864
<=> ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0))))))
| ~ r2_hidden(X1,u3_conlat_1(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_864])]) ).
fof(f3209,plain,
( spl34_463
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0)))
| ~ r2_hidden(X1,u3_conlat_1(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_463])]) ).
fof(f3725,plain,
( ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0)))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0))))))
| ~ r2_hidden(X1,u3_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_463
| ~ spl34_519 ),
inference(resolution,[],[f3639,f3210]) ).
fof(f3210,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0)))
| ~ r2_hidden(X1,u3_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_463 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f7532,plain,
( spl34_863
| ~ spl34_270
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3629,f3616,f1970,f7530]) ).
fof(f3629,plain,
( ! [X0] :
( k4_relat_1(u2_lattices(k11_conlat_1(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_270
| ~ spl34_518 ),
inference(resolution,[],[f3617,f1971]) ).
fof(f7528,plain,
( spl34_862
| ~ spl34_271
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3621,f3612,f1974,f7526]) ).
fof(f3621,plain,
( ! [X0] :
( k4_relat_1(u1_lattices(k11_conlat_1(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k11_conlat_1(X0)),u1_struct_0(k11_conlat_1(X0))),u1_struct_0(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_271
| ~ spl34_517 ),
inference(resolution,[],[f3613,f1975]) ).
fof(f7500,plain,
( spl34_861
| ~ spl34_316
| ~ spl34_347 ),
inference(avatar_split_clause,[],[f2546,f2511,f2276,f7498]) ).
fof(f7498,plain,
( spl34_861
<=> ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(sK6))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_861])]) ).
fof(f2511,plain,
( spl34_347
<=> m2_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_347])]) ).
fof(f2546,plain,
( ! [X0] :
( ~ r2_hidden(X0,u3_conlat_1(sK6))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6))) )
| ~ spl34_316
| ~ spl34_347 ),
inference(resolution,[],[f2513,f2277]) ).
fof(f2513,plain,
( m2_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_347 ),
inference(avatar_component_clause,[],[f2511]) ).
fof(f7493,plain,
( spl34_860
| ~ spl34_249
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3630,f3616,f1814,f7491]) ).
fof(f7491,plain,
( spl34_860
<=> ! [X0] :
( k4_relat_1(u2_lattices(k1_lattice2(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_860])]) ).
fof(f3630,plain,
( ! [X0] :
( k4_relat_1(u2_lattices(k1_lattice2(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl34_249
| ~ spl34_518 ),
inference(resolution,[],[f3617,f1815]) ).
fof(f7489,plain,
( spl34_859
| ~ spl34_250
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3622,f3612,f1818,f7487]) ).
fof(f7487,plain,
( spl34_859
<=> ! [X0] :
( k4_relat_1(u1_lattices(k1_lattice2(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_859])]) ).
fof(f3622,plain,
( ! [X0] :
( k4_relat_1(u1_lattices(k1_lattice2(X0))) = k6_relset_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(X0)),u1_struct_0(k1_lattice2(X0))),u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(X0) )
| ~ spl34_250
| ~ spl34_517 ),
inference(resolution,[],[f3613,f1819]) ).
fof(f7485,plain,
( spl34_858
| ~ spl34_164
| ~ spl34_514 ),
inference(avatar_split_clause,[],[f3596,f3568,f1280,f7483]) ).
fof(f3596,plain,
( ! [X0] :
( k1_lattice2(k11_conlat_1(X0)) = g3_lattices(u1_struct_0(k1_lattice2(k11_conlat_1(X0))),u2_lattices(k1_lattice2(k11_conlat_1(X0))),u1_lattices(k1_lattice2(k11_conlat_1(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_514 ),
inference(resolution,[],[f3569,f1281]) ).
fof(f7481,plain,
( spl34_857
| ~ spl34_463
| ~ spl34_500 ),
inference(avatar_split_clause,[],[f3572,f3503,f3209,f7479]) ).
fof(f7479,plain,
( spl34_857
<=> ! [X0,X1] :
( sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0)))))
| ~ r2_hidden(X1,u3_conlat_1(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_857])]) ).
fof(f3572,plain,
( ! [X0,X1] :
( sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0))) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0)))))
| ~ r2_hidden(X1,u3_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_463
| ~ spl34_500 ),
inference(resolution,[],[f3504,f3210]) ).
fof(f7476,plain,
( spl34_856
| ~ spl34_208
| ~ spl34_476 ),
inference(avatar_split_clause,[],[f3388,f3308,f1548,f7474]) ).
fof(f7474,plain,
( spl34_856
<=> ! [X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| k4_relat_1(sK18(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK18(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_856])]) ).
fof(f3308,plain,
( spl34_476
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0)
| ~ m1_relset_1(sK18(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_476])]) ).
fof(f3388,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| k4_relat_1(sK18(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK18(X0,X1)))) )
| ~ spl34_208
| ~ spl34_476 ),
inference(resolution,[],[f3309,f1549]) ).
fof(f3309,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0)
| ~ m1_relset_1(sK18(X0,X1),X0,X1) )
| ~ spl34_476 ),
inference(avatar_component_clause,[],[f3308]) ).
fof(f7471,plain,
( spl34_855
| ~ spl34_208
| ~ spl34_475 ),
inference(avatar_split_clause,[],[f3384,f3304,f1548,f7469]) ).
fof(f7469,plain,
( spl34_855
<=> ! [X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| k4_relat_1(sK17(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK17(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_855])]) ).
fof(f3304,plain,
( spl34_475
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK17(X0,X1)),X1,X0)
| ~ m1_relset_1(sK17(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_475])]) ).
fof(f3384,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| k4_relat_1(sK17(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK17(X0,X1)))) )
| ~ spl34_208
| ~ spl34_475 ),
inference(resolution,[],[f3305,f1549]) ).
fof(f3305,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK17(X0,X1)),X1,X0)
| ~ m1_relset_1(sK17(X0,X1),X0,X1) )
| ~ spl34_475 ),
inference(avatar_component_clause,[],[f3304]) ).
fof(f7466,plain,
( spl34_854
| ~ spl34_208
| ~ spl34_474 ),
inference(avatar_split_clause,[],[f3380,f3300,f1548,f7464]) ).
fof(f7464,plain,
( spl34_854
<=> ! [X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| k4_relat_1(sK15(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK15(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_854])]) ).
fof(f3300,plain,
( spl34_474
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK15(X0,X1)),X1,X0)
| ~ m1_relset_1(sK15(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_474])]) ).
fof(f3380,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| k4_relat_1(sK15(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK15(X0,X1)))) )
| ~ spl34_208
| ~ spl34_474 ),
inference(resolution,[],[f3301,f1549]) ).
fof(f3301,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK15(X0,X1)),X1,X0)
| ~ m1_relset_1(sK15(X0,X1),X0,X1) )
| ~ spl34_474 ),
inference(avatar_component_clause,[],[f3300]) ).
fof(f7426,plain,
( spl34_541
| spl34_853
| ~ spl34_508
| ~ spl34_533 ),
inference(avatar_split_clause,[],[f4878,f3713,f3539,f7423,f3845]) ).
fof(f7423,plain,
( spl34_853
<=> k11_conlat_1(k7_conlat_2(sK28)) = g3_lattices(u1_struct_0(k11_conlat_1(k7_conlat_2(sK28))),u2_lattices(k11_conlat_1(k7_conlat_2(sK28))),u1_lattices(k11_conlat_1(k7_conlat_2(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_853])]) ).
fof(f4878,plain,
( k11_conlat_1(k7_conlat_2(sK28)) = g3_lattices(u1_struct_0(k11_conlat_1(k7_conlat_2(sK28))),u2_lattices(k11_conlat_1(k7_conlat_2(sK28))),u1_lattices(k11_conlat_1(k7_conlat_2(sK28))))
| v3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_508
| ~ spl34_533 ),
inference(resolution,[],[f3541,f3714]) ).
fof(f7392,plain,
( spl34_541
| spl34_852
| ~ spl34_225
| ~ spl34_508
| ~ spl34_801 ),
inference(avatar_split_clause,[],[f7353,f6548,f3539,f1662,f7389,f3845]) ).
fof(f1662,plain,
( spl34_225
<=> ! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_225])]) ).
fof(f6548,plain,
( spl34_801
<=> k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_801])]) ).
fof(f7353,plain,
( k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(k7_conlat_2(sK28)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK28))))
| v3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_225
| ~ spl34_508
| ~ spl34_801 ),
inference(forward_demodulation,[],[f4874,f6550]) ).
fof(f6550,plain,
( k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK28)))
| ~ spl34_801 ),
inference(avatar_component_clause,[],[f6548]) ).
fof(f4874,plain,
( k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(k7_conlat_2(sK28)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))))
| v3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_225
| ~ spl34_508 ),
inference(resolution,[],[f3541,f1663]) ).
fof(f1663,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| v3_conlat_1(X0) )
| ~ spl34_225 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f7352,plain,
( spl34_16
| ~ spl34_15
| ~ spl34_159
| ~ spl34_541 ),
inference(avatar_split_clause,[],[f7351,f3845,f1260,f602,f607]) ).
fof(f7351,plain,
( ~ l2_conlat_1(sK28)
| v3_conlat_1(sK28)
| ~ spl34_159
| ~ spl34_541 ),
inference(resolution,[],[f3847,f1261]) ).
fof(f3847,plain,
( v3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_541 ),
inference(avatar_component_clause,[],[f3845]) ).
fof(f7350,plain,
( spl34_541
| spl34_851
| ~ spl34_508
| ~ spl34_530 ),
inference(avatar_split_clause,[],[f4877,f3684,f3539,f7347,f3845]) ).
fof(f7347,plain,
( spl34_851
<=> k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_851])]) ).
fof(f4877,plain,
( k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK28))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK28))))
| v3_conlat_1(k7_conlat_2(sK28))
| ~ spl34_508
| ~ spl34_530 ),
inference(resolution,[],[f3541,f3685]) ).
fof(f7345,plain,
( spl34_850
| ~ spl34_169
| ~ spl34_519 ),
inference(avatar_split_clause,[],[f3729,f3638,f1300,f7343]) ).
fof(f7343,plain,
( spl34_850
<=> ! [X2,X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))))
| k2_zfmisc_1(X0,X1) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_850])]) ).
fof(f1300,plain,
( spl34_169
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_169])]) ).
fof(f3729,plain,
( ! [X2,X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))))
| k2_zfmisc_1(X0,X1) = X2
| ~ v1_xboole_0(X2) )
| ~ spl34_169
| ~ spl34_519 ),
inference(resolution,[],[f3639,f1301]) ).
fof(f1301,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl34_169 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f7337,plain,
( spl34_849
| ~ spl34_457
| ~ spl34_822 ),
inference(avatar_split_clause,[],[f6842,f6794,f3184,f7334]) ).
fof(f6842,plain,
( m2_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_457
| ~ spl34_822 ),
inference(superposition,[],[f3186,f6796]) ).
fof(f7213,plain,
( spl34_848
| ~ spl34_226
| ~ spl34_539 ),
inference(avatar_split_clause,[],[f3882,f3837,f1672,f7211]) ).
fof(f7211,plain,
( spl34_848
<=> ! [X0,X1] :
( v1_relat_1(sK11(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_848])]) ).
fof(f3882,plain,
( ! [X0,X1] :
( v1_relat_1(sK11(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1) )
| ~ spl34_226
| ~ spl34_539 ),
inference(duplicate_literal_removal,[],[f3881]) ).
fof(f3881,plain,
( ! [X0,X1] :
( v1_relat_1(sK11(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_226
| ~ spl34_539 ),
inference(resolution,[],[f3838,f1673]) ).
fof(f7209,plain,
( spl34_847
| ~ spl34_74
| ~ spl34_514 ),
inference(avatar_split_clause,[],[f3597,f3568,f888,f7207]) ).
fof(f7207,plain,
( spl34_847
<=> ! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(X0))),u2_lattices(k1_lattice2(k1_lattice2(X0))),u1_lattices(k1_lattice2(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_847])]) ).
fof(f3597,plain,
( ! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(k1_lattice2(k1_lattice2(X0))),u2_lattices(k1_lattice2(k1_lattice2(X0))),u1_lattices(k1_lattice2(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_74
| ~ spl34_514 ),
inference(resolution,[],[f3569,f889]) ).
fof(f7205,plain,
( spl34_846
| ~ spl34_176
| ~ spl34_483 ),
inference(avatar_split_clause,[],[f3408,f3340,f1343,f7203]) ).
fof(f7203,plain,
( spl34_846
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u3_conlat_1(X1))
| ~ l2_conlat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_846])]) ).
fof(f3340,plain,
( spl34_483
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u3_conlat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1)))
| ~ l2_conlat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_483])]) ).
fof(f3408,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u3_conlat_1(X1))
| ~ l2_conlat_1(X1)
| v1_xboole_0(k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1))) )
| ~ spl34_176
| ~ spl34_483 ),
inference(resolution,[],[f3341,f1344]) ).
fof(f3341,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1)))
| ~ r2_hidden(X0,u3_conlat_1(X1))
| ~ l2_conlat_1(X1) )
| ~ spl34_483 ),
inference(avatar_component_clause,[],[f3340]) ).
fof(f7201,plain,
( spl34_845
| ~ spl34_161
| ~ spl34_470 ),
inference(avatar_split_clause,[],[f3356,f3284,f1268,f7199]) ).
fof(f7199,plain,
( spl34_845
<=> ! [X0] :
( k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))) = k4_relat_1(u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_845])]) ).
fof(f3356,plain,
( ! [X0] :
( k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))) = k4_relat_1(u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_470 ),
inference(resolution,[],[f3285,f1269]) ).
fof(f7180,plain,
( spl34_844
| ~ spl34_280
| ~ spl34_418 ),
inference(avatar_split_clause,[],[f3165,f2977,f2019,f7178]) ).
fof(f7178,plain,
( spl34_844
<=> ! [X0,X1] :
( k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_844])]) ).
fof(f2019,plain,
( spl34_280
<=> ! [X0,X1] :
( v1_relat_1(sK7(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_280])]) ).
fof(f2977,plain,
( spl34_418
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_418])]) ).
fof(f3165,plain,
( ! [X0,X1] :
( k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_280
| ~ spl34_418 ),
inference(resolution,[],[f2978,f2020]) ).
fof(f2020,plain,
( ! [X0,X1] :
( v1_relat_1(sK7(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_280 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f2978,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0)))) )
| ~ spl34_418 ),
inference(avatar_component_clause,[],[f2977]) ).
fof(f7176,plain,
( spl34_843
| ~ spl34_400
| ~ spl34_418 ),
inference(avatar_split_clause,[],[f3163,f2977,f2856,f7174]) ).
fof(f7174,plain,
( spl34_843
<=> ! [X2,X0,X1] :
( k4_relat_1(k4_relat_1(k6_relset_1(X0,X1,X2))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k6_relset_1(X0,X1,X2)))))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_843])]) ).
fof(f3163,plain,
( ! [X2,X0,X1] :
( k4_relat_1(k4_relat_1(k6_relset_1(X0,X1,X2))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k6_relset_1(X0,X1,X2)))))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_400
| ~ spl34_418 ),
inference(resolution,[],[f2978,f2857]) ).
fof(f7172,plain,
( spl34_842
| ~ spl34_336
| ~ spl34_407 ),
inference(avatar_split_clause,[],[f2947,f2897,f2438,f7170]) ).
fof(f7170,plain,
( spl34_842
<=> ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_842])]) ).
fof(f2897,plain,
( spl34_407
<=> ! [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,[spl34_407])]) ).
fof(f2947,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) )
| ~ spl34_336
| ~ spl34_407 ),
inference(resolution,[],[f2898,f2439]) ).
fof(f2898,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl34_407 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f7075,plain,
( spl34_841
| ~ spl34_251
| ~ spl34_519 ),
inference(avatar_split_clause,[],[f3728,f3638,f1822,f7073]) ).
fof(f7073,plain,
( spl34_841
<=> ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))))
| k2_zfmisc_1(X0,X1) = sK26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_841])]) ).
fof(f3728,plain,
( ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))))
| k2_zfmisc_1(X0,X1) = sK26 )
| ~ spl34_251
| ~ spl34_519 ),
inference(resolution,[],[f3639,f1823]) ).
fof(f7071,plain,
( spl34_840
| ~ spl34_260
| ~ spl34_503 ),
inference(avatar_split_clause,[],[f3577,f3515,f1908,f7069]) ).
fof(f3577,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK12(k6_relset_1(X0,X1,X2)),k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(k6_relset_1(X0,X1,X2)) )
| ~ spl34_260
| ~ spl34_503 ),
inference(resolution,[],[f3516,f1909]) ).
fof(f7067,plain,
( spl34_839
| ~ spl34_169
| ~ spl34_500 ),
inference(avatar_split_clause,[],[f3574,f3503,f1300,f7065]) ).
fof(f7065,plain,
( spl34_839
<=> ! [X2,X0,X1] :
( sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))
| k2_zfmisc_1(X0,X1) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_839])]) ).
fof(f3574,plain,
( ! [X2,X0,X1] :
( sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))
| k2_zfmisc_1(X0,X1) = X2
| ~ v1_xboole_0(X2) )
| ~ spl34_169
| ~ spl34_500 ),
inference(resolution,[],[f3504,f1301]) ).
fof(f7063,plain,
( spl34_838
| ~ spl34_307
| ~ spl34_791 ),
inference(avatar_split_clause,[],[f6733,f6391,f2165,f7060]) ).
fof(f2165,plain,
( spl34_307
<=> m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_307])]) ).
fof(f6391,plain,
( spl34_791
<=> k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = u3_conlat_1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_791])]) ).
fof(f6733,plain,
( m1_relset_1(u3_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_307
| ~ spl34_791 ),
inference(superposition,[],[f2166,f6393]) ).
fof(f6393,plain,
( k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = u3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_791 ),
inference(avatar_component_clause,[],[f6391]) ).
fof(f2166,plain,
( m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_307 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f7058,plain,
( spl34_837
| ~ spl34_178
| ~ spl34_406 ),
inference(avatar_split_clause,[],[f2942,f2893,f1351,f7056]) ).
fof(f7056,plain,
( spl34_837
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK12(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_837])]) ).
fof(f1351,plain,
( spl34_178
<=> ! [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,[spl34_178])]) ).
fof(f2893,plain,
( spl34_406
<=> ! [X0] :
( m1_subset_1(sK12(sK7(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_406])]) ).
fof(f2942,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK12(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) )
| ~ spl34_178
| ~ spl34_406 ),
inference(resolution,[],[f2894,f1352]) ).
fof(f1352,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl34_178 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f2894,plain,
( ! [X0] :
( m1_subset_1(sK12(sK7(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK7(X0)) )
| ~ spl34_406 ),
inference(avatar_component_clause,[],[f2893]) ).
fof(f6911,plain,
( spl34_836
| ~ spl34_177
| ~ spl34_519 ),
inference(avatar_split_clause,[],[f3724,f3638,f1347,f6909]) ).
fof(f6909,plain,
( spl34_836
<=> ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_836])]) ).
fof(f1347,plain,
( spl34_177
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_177])]) ).
fof(f3724,plain,
( ! [X0,X1] :
( k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl34_177
| ~ spl34_519 ),
inference(resolution,[],[f3639,f1348]) ).
fof(f1348,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl34_177 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f6907,plain,
( spl34_835
| ~ spl34_417
| ~ spl34_503 ),
inference(avatar_split_clause,[],[f3583,f3515,f2973,f6905]) ).
fof(f2973,plain,
( spl34_417
<=> ! [X0,X1] : k6_relset_1(X0,X1,sK16(X0,X1)) = k4_relat_1(sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_417])]) ).
fof(f3583,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k4_relat_1(sK16(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(sK16(X0,X1),X0,X1) )
| ~ spl34_417
| ~ spl34_503 ),
inference(superposition,[],[f3516,f2974]) ).
fof(f2974,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK16(X0,X1)) = k4_relat_1(sK16(X0,X1))
| ~ spl34_417 ),
inference(avatar_component_clause,[],[f2973]) ).
fof(f6903,plain,
( spl34_834
| ~ spl34_315
| ~ spl34_503 ),
inference(avatar_split_clause,[],[f3581,f3515,f2236,f6901]) ).
fof(f6901,plain,
( spl34_834
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK18(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_834])]) ).
fof(f2236,plain,
( spl34_315
<=> ! [X0,X1] : sK18(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK18(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_315])]) ).
fof(f3581,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK18(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) )
| ~ spl34_315
| ~ spl34_503 ),
inference(superposition,[],[f3516,f2237]) ).
fof(f2237,plain,
( ! [X0,X1] : sK18(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK18(X0,X1)))
| ~ spl34_315 ),
inference(avatar_component_clause,[],[f2236]) ).
fof(f6899,plain,
( spl34_833
| ~ spl34_314
| ~ spl34_503 ),
inference(avatar_split_clause,[],[f3580,f3515,f2232,f6897]) ).
fof(f6897,plain,
( spl34_833
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK17(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_833])]) ).
fof(f2232,plain,
( spl34_314
<=> ! [X0,X1] : sK17(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK17(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_314])]) ).
fof(f3580,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK17(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) )
| ~ spl34_314
| ~ spl34_503 ),
inference(superposition,[],[f3516,f2233]) ).
fof(f2233,plain,
( ! [X0,X1] : sK17(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK17(X0,X1)))
| ~ spl34_314 ),
inference(avatar_component_clause,[],[f2232]) ).
fof(f6895,plain,
( spl34_832
| ~ spl34_468
| ~ spl34_503 ),
inference(avatar_split_clause,[],[f3579,f3515,f3272,f6893]) ).
fof(f6893,plain,
( spl34_832
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK16(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_832])]) ).
fof(f3272,plain,
( spl34_468
<=> ! [X0,X1] : sK16(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK16(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_468])]) ).
fof(f3579,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK16(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) )
| ~ spl34_468
| ~ spl34_503 ),
inference(superposition,[],[f3516,f3273]) ).
fof(f3273,plain,
( ! [X0,X1] : sK16(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK16(X0,X1)))
| ~ spl34_468 ),
inference(avatar_component_clause,[],[f3272]) ).
fof(f6891,plain,
( spl34_831
| ~ spl34_313
| ~ spl34_503 ),
inference(avatar_split_clause,[],[f3578,f3515,f2227,f6889]) ).
fof(f6889,plain,
( spl34_831
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK15(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_831])]) ).
fof(f2227,plain,
( spl34_313
<=> ! [X0,X1] : sK15(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK15(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_313])]) ).
fof(f3578,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK15(X0,X1))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) )
| ~ spl34_313
| ~ spl34_503 ),
inference(superposition,[],[f3516,f2228]) ).
fof(f2228,plain,
( ! [X0,X1] : sK15(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK15(X0,X1)))
| ~ spl34_313 ),
inference(avatar_component_clause,[],[f2227]) ).
fof(f6887,plain,
( spl34_830
| ~ spl34_316
| ~ spl34_473 ),
inference(avatar_split_clause,[],[f3376,f3296,f2276,f6885]) ).
fof(f3296,plain,
( spl34_473
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0)
| ~ m1_relset_1(sK18(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_473])]) ).
fof(f3376,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK18(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl34_316
| ~ spl34_473 ),
inference(resolution,[],[f3297,f2277]) ).
fof(f3297,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0)
| ~ m1_relset_1(sK18(X0,X1),X0,X1) )
| ~ spl34_473 ),
inference(avatar_component_clause,[],[f3296]) ).
fof(f6883,plain,
( spl34_829
| ~ spl34_316
| ~ spl34_472 ),
inference(avatar_split_clause,[],[f3372,f3292,f2276,f6881]) ).
fof(f3292,plain,
( spl34_472
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK17(X0,X1)),X1,X0)
| ~ m1_relset_1(sK17(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_472])]) ).
fof(f3372,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK17(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl34_316
| ~ spl34_472 ),
inference(resolution,[],[f3293,f2277]) ).
fof(f3293,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK17(X0,X1)),X1,X0)
| ~ m1_relset_1(sK17(X0,X1),X0,X1) )
| ~ spl34_472 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f6879,plain,
( spl34_828
| ~ spl34_316
| ~ spl34_471 ),
inference(avatar_split_clause,[],[f3368,f3288,f2276,f6877]) ).
fof(f3288,plain,
( spl34_471
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK15(X0,X1)),X1,X0)
| ~ m1_relset_1(sK15(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_471])]) ).
fof(f3368,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ r2_hidden(X2,k4_relat_1(sK15(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl34_316
| ~ spl34_471 ),
inference(resolution,[],[f3289,f2277]) ).
fof(f3289,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK15(X0,X1)),X1,X0)
| ~ m1_relset_1(sK15(X0,X1),X0,X1) )
| ~ spl34_471 ),
inference(avatar_component_clause,[],[f3288]) ).
fof(f6875,plain,
( spl34_827
| ~ spl34_370
| ~ spl34_822 ),
inference(avatar_split_clause,[],[f6843,f6794,f2662,f6872]) ).
fof(f2662,plain,
( spl34_370
<=> u3_conlat_1(sK6) = k4_relat_1(k4_relat_1(u3_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_370])]) ).
fof(f6843,plain,
( u3_conlat_1(sK6) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_370
| ~ spl34_822 ),
inference(superposition,[],[f2664,f6796]) ).
fof(f2664,plain,
( u3_conlat_1(sK6) = k4_relat_1(k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_370 ),
inference(avatar_component_clause,[],[f2662]) ).
fof(f6870,plain,
( spl34_826
| ~ spl34_279
| ~ spl34_400 ),
inference(avatar_split_clause,[],[f2875,f2856,f2015,f6868]) ).
fof(f6868,plain,
( spl34_826
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k4_relat_1(k6_relset_1(X1,X2,X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k6_relset_1(X1,X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_826])]) ).
fof(f2015,plain,
( spl34_279
<=> ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_279])]) ).
fof(f2875,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k4_relat_1(k6_relset_1(X1,X2,X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k6_relset_1(X1,X2,X0)))) )
| ~ spl34_279
| ~ spl34_400 ),
inference(resolution,[],[f2857,f2016]) ).
fof(f2016,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0))) )
| ~ spl34_279 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f6819,plain,
( spl34_825
| ~ spl34_138
| ~ spl34_674
| ~ spl34_824 ),
inference(avatar_split_clause,[],[f6814,f6810,f5236,f1159,f6816]) ).
fof(f6810,plain,
( spl34_824
<=> k4_relat_1(k4_relat_1(u1_lattices(sK33))) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_824])]) ).
fof(f6814,plain,
( u1_lattices(sK33) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33)))
| ~ spl34_138
| ~ spl34_674
| ~ spl34_824 ),
inference(forward_demodulation,[],[f6812,f5317]) ).
fof(f6812,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK33))) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33)))
| ~ spl34_824 ),
inference(avatar_component_clause,[],[f6810]) ).
fof(f6813,plain,
( spl34_824
| ~ spl34_138
| ~ spl34_517
| ~ spl34_525
| ~ spl34_625 ),
inference(avatar_split_clause,[],[f4725,f4447,f3664,f3612,f1159,f6810]) ).
fof(f4725,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK33))) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u1_lattices(sK33)))
| ~ spl34_138
| ~ spl34_517
| ~ spl34_525
| ~ spl34_625 ),
inference(forward_demodulation,[],[f4720,f3628]) ).
fof(f4720,plain,
( k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33)))
| ~ spl34_525
| ~ spl34_625 ),
inference(resolution,[],[f4448,f3665]) ).
fof(f6802,plain,
( spl34_823
| ~ spl34_190
| ~ spl34_673
| ~ spl34_821 ),
inference(avatar_split_clause,[],[f6792,f6788,f5232,f1446,f6799]) ).
fof(f6788,plain,
( spl34_821
<=> k4_relat_1(k4_relat_1(u2_lattices(sK33))) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_821])]) ).
fof(f6792,plain,
( u2_lattices(sK33) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33)))
| ~ spl34_190
| ~ spl34_673
| ~ spl34_821 ),
inference(forward_demodulation,[],[f6790,f5309]) ).
fof(f6790,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK33))) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33)))
| ~ spl34_821 ),
inference(avatar_component_clause,[],[f6788]) ).
fof(f6797,plain,
( spl34_822
| ~ spl34_584
| ~ spl34_791 ),
inference(avatar_split_clause,[],[f6731,f6391,f4212,f6794]) ).
fof(f6731,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k4_relat_1(u3_conlat_1(sK6))
| ~ spl34_584
| ~ spl34_791 ),
inference(superposition,[],[f6393,f4214]) ).
fof(f6791,plain,
( spl34_821
| ~ spl34_190
| ~ spl34_518
| ~ spl34_525
| ~ spl34_622 ),
inference(avatar_split_clause,[],[f4697,f4435,f3664,f3616,f1446,f6788]) ).
fof(f4697,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK33))) = k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k4_relat_1(u2_lattices(sK33)))
| ~ spl34_190
| ~ spl34_518
| ~ spl34_525
| ~ spl34_622 ),
inference(forward_demodulation,[],[f4692,f3636]) ).
fof(f4692,plain,
( k6_relset_1(u1_struct_0(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)))
| ~ spl34_525
| ~ spl34_622 ),
inference(resolution,[],[f4436,f3665]) ).
fof(f6780,plain,
( spl34_820
| ~ spl34_135
| ~ spl34_674
| ~ spl34_819 ),
inference(avatar_split_clause,[],[f6775,f6771,f5236,f1144,f6777]) ).
fof(f6771,plain,
( spl34_819
<=> k4_relat_1(k4_relat_1(u1_lattices(sK30))) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_819])]) ).
fof(f6775,plain,
( u1_lattices(sK30) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30)))
| ~ spl34_135
| ~ spl34_674
| ~ spl34_819 ),
inference(forward_demodulation,[],[f6773,f5314]) ).
fof(f6773,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK30))) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30)))
| ~ spl34_819 ),
inference(avatar_component_clause,[],[f6771]) ).
fof(f6774,plain,
( spl34_819
| ~ spl34_135
| ~ spl34_517
| ~ spl34_525
| ~ spl34_604 ),
inference(avatar_split_clause,[],[f4496,f4343,f3664,f3612,f1144,f6771]) ).
fof(f4496,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK30))) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u1_lattices(sK30)))
| ~ spl34_135
| ~ spl34_517
| ~ spl34_525
| ~ spl34_604 ),
inference(forward_demodulation,[],[f4491,f3625]) ).
fof(f4491,plain,
( k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30)))
| ~ spl34_525
| ~ spl34_604 ),
inference(resolution,[],[f4344,f3665]) ).
fof(f6763,plain,
( spl34_818
| ~ spl34_140
| ~ spl34_673
| ~ spl34_817 ),
inference(avatar_split_clause,[],[f6758,f6754,f5232,f1169,f6760]) ).
fof(f6754,plain,
( spl34_817
<=> k4_relat_1(k4_relat_1(u2_lattices(sK30))) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_817])]) ).
fof(f6758,plain,
( u2_lattices(sK30) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30)))
| ~ spl34_140
| ~ spl34_673
| ~ spl34_817 ),
inference(forward_demodulation,[],[f6756,f5306]) ).
fof(f6756,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK30))) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30)))
| ~ spl34_817 ),
inference(avatar_component_clause,[],[f6754]) ).
fof(f6757,plain,
( spl34_817
| ~ spl34_140
| ~ spl34_518
| ~ spl34_525
| ~ spl34_601 ),
inference(avatar_split_clause,[],[f4464,f4331,f3664,f3616,f1169,f6754]) ).
fof(f4464,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK30))) = k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k4_relat_1(u2_lattices(sK30)))
| ~ spl34_140
| ~ spl34_518
| ~ spl34_525
| ~ spl34_601 ),
inference(forward_demodulation,[],[f4459,f3633]) ).
fof(f4459,plain,
( k6_relset_1(u1_struct_0(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)))
| ~ spl34_525
| ~ spl34_601 ),
inference(resolution,[],[f4332,f3665]) ).
fof(f6752,plain,
( spl34_816
| ~ spl34_224
| ~ spl34_539 ),
inference(avatar_split_clause,[],[f3883,f3837,f1646,f6750]) ).
fof(f6750,plain,
( spl34_816
<=> ! [X0,X1] :
( v1_relat_1(sK14(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_816])]) ).
fof(f3883,plain,
( ! [X0,X1] :
( v1_relat_1(sK14(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_224
| ~ spl34_539 ),
inference(duplicate_literal_removal,[],[f3880]) ).
fof(f3880,plain,
( ! [X0,X1] :
( v1_relat_1(sK14(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_224
| ~ spl34_539 ),
inference(resolution,[],[f3838,f1647]) ).
fof(f6748,plain,
( spl34_815
| ~ spl34_251
| ~ spl34_500 ),
inference(avatar_split_clause,[],[f3573,f3503,f1822,f6746]) ).
fof(f6746,plain,
( spl34_815
<=> ! [X0,X1] :
( sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))
| k2_zfmisc_1(X0,X1) = sK26 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_815])]) ).
fof(f3573,plain,
( ! [X0,X1] :
( sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))
| k2_zfmisc_1(X0,X1) = sK26 )
| ~ spl34_251
| ~ spl34_500 ),
inference(resolution,[],[f3504,f1823]) ).
fof(f6744,plain,
( spl34_814
| ~ spl34_417
| ~ spl34_496 ),
inference(avatar_split_clause,[],[f3499,f3446,f2973,f6742]) ).
fof(f3446,plain,
( spl34_496
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k6_relset_1(X1,X0,X3))
| ~ m1_relset_1(X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_496])]) ).
fof(f3499,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k4_relat_1(sK16(X0,X1)))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(sK16(X0,X1),X0,X1) )
| ~ spl34_417
| ~ spl34_496 ),
inference(superposition,[],[f3447,f2974]) ).
fof(f3447,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,k6_relset_1(X1,X0,X3))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(X3,X1,X0) )
| ~ spl34_496 ),
inference(avatar_component_clause,[],[f3446]) ).
fof(f6730,plain,
( spl34_813
| ~ spl34_315
| ~ spl34_496 ),
inference(avatar_split_clause,[],[f3497,f3446,f2236,f6728]) ).
fof(f6728,plain,
( spl34_813
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK18(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_813])]) ).
fof(f3497,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK18(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) )
| ~ spl34_315
| ~ spl34_496 ),
inference(superposition,[],[f3447,f2237]) ).
fof(f6726,plain,
( spl34_812
| ~ spl34_314
| ~ spl34_496 ),
inference(avatar_split_clause,[],[f3496,f3446,f2232,f6724]) ).
fof(f6724,plain,
( spl34_812
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK17(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_812])]) ).
fof(f3496,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK17(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) )
| ~ spl34_314
| ~ spl34_496 ),
inference(superposition,[],[f3447,f2233]) ).
fof(f6722,plain,
( spl34_811
| ~ spl34_468
| ~ spl34_496 ),
inference(avatar_split_clause,[],[f3495,f3446,f3272,f6720]) ).
fof(f6720,plain,
( spl34_811
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK16(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_811])]) ).
fof(f3495,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK16(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) )
| ~ spl34_468
| ~ spl34_496 ),
inference(superposition,[],[f3447,f3273]) ).
fof(f6718,plain,
( spl34_810
| ~ spl34_313
| ~ spl34_496 ),
inference(avatar_split_clause,[],[f3494,f3446,f2227,f6716]) ).
fof(f6716,plain,
( spl34_810
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK15(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_810])]) ).
fof(f3494,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK15(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) )
| ~ spl34_313
| ~ spl34_496 ),
inference(superposition,[],[f3447,f2228]) ).
fof(f6714,plain,
( spl34_809
| ~ spl34_176
| ~ spl34_486 ),
inference(avatar_split_clause,[],[f3411,f3352,f1343,f6712]) ).
fof(f6712,plain,
( spl34_809
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK10(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK12(sK10(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_809])]) ).
fof(f3352,plain,
( spl34_486
<=> ! [X0] :
( m1_subset_1(sK12(sK10(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_486])]) ).
fof(f3411,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK10(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK12(sK10(X0)),u1_struct_0(X0)) )
| ~ spl34_176
| ~ spl34_486 ),
inference(resolution,[],[f3353,f1344]) ).
fof(f3353,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK10(X0)) )
| ~ spl34_486 ),
inference(avatar_component_clause,[],[f3352]) ).
fof(f6710,plain,
( spl34_808
| ~ spl34_176
| ~ spl34_485 ),
inference(avatar_split_clause,[],[f3410,f3348,f1343,f6708]) ).
fof(f6708,plain,
( spl34_808
<=> ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK9(X0))
| v1_xboole_0(u1_conlat_1(X0))
| r2_hidden(sK12(sK9(X0)),u1_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_808])]) ).
fof(f3348,plain,
( spl34_485
<=> ! [X0] :
( m1_subset_1(sK12(sK9(X0)),u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_485])]) ).
fof(f3410,plain,
( ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK9(X0))
| v1_xboole_0(u1_conlat_1(X0))
| r2_hidden(sK12(sK9(X0)),u1_conlat_1(X0)) )
| ~ spl34_176
| ~ spl34_485 ),
inference(resolution,[],[f3349,f1344]) ).
fof(f3349,plain,
( ! [X0] :
( m1_subset_1(sK12(sK9(X0)),u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK9(X0)) )
| ~ spl34_485 ),
inference(avatar_component_clause,[],[f3348]) ).
fof(f6706,plain,
( spl34_807
| ~ spl34_176
| ~ spl34_484 ),
inference(avatar_split_clause,[],[f3409,f3344,f1343,f6704]) ).
fof(f6704,plain,
( spl34_807
<=> ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK8(X0))
| v1_xboole_0(u2_conlat_1(X0))
| r2_hidden(sK12(sK8(X0)),u2_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_807])]) ).
fof(f3344,plain,
( spl34_484
<=> ! [X0] :
( m1_subset_1(sK12(sK8(X0)),u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_484])]) ).
fof(f3409,plain,
( ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK8(X0))
| v1_xboole_0(u2_conlat_1(X0))
| r2_hidden(sK12(sK8(X0)),u2_conlat_1(X0)) )
| ~ spl34_176
| ~ spl34_484 ),
inference(resolution,[],[f3345,f1344]) ).
fof(f3345,plain,
( ! [X0] :
( m1_subset_1(sK12(sK8(X0)),u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK8(X0)) )
| ~ spl34_484 ),
inference(avatar_component_clause,[],[f3344]) ).
fof(f6702,plain,
( spl34_806
| ~ spl34_300
| ~ spl34_473 ),
inference(avatar_split_clause,[],[f3377,f3296,f2126,f6700]) ).
fof(f3377,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK18(X0,X1))) )
| ~ spl34_300
| ~ spl34_473 ),
inference(resolution,[],[f3297,f2127]) ).
fof(f6698,plain,
( spl34_805
| ~ spl34_300
| ~ spl34_472 ),
inference(avatar_split_clause,[],[f3373,f3292,f2126,f6696]) ).
fof(f3373,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK17(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK17(X0,X1))) )
| ~ spl34_300
| ~ spl34_472 ),
inference(resolution,[],[f3293,f2127]) ).
fof(f6694,plain,
( spl34_804
| ~ spl34_300
| ~ spl34_471 ),
inference(avatar_split_clause,[],[f3369,f3288,f2126,f6692]) ).
fof(f3369,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK15(X0,X1),X0,X1)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X0))
| ~ r2_hidden(X2,k4_relat_1(sK15(X0,X1))) )
| ~ spl34_300
| ~ spl34_471 ),
inference(resolution,[],[f3289,f2127]) ).
fof(f6690,plain,
( spl34_803
| ~ spl34_197
| ~ spl34_406 ),
inference(avatar_split_clause,[],[f2944,f2893,f1475,f6688]) ).
fof(f6688,plain,
( spl34_803
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK12(sK7(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_803])]) ).
fof(f1475,plain,
( spl34_197
<=> ! [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,[spl34_197])]) ).
fof(f2944,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK12(sK7(k1_zfmisc_1(X0)))) )
| ~ spl34_197
| ~ spl34_406 ),
inference(resolution,[],[f2894,f1476]) ).
fof(f1476,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl34_197 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f6556,plain,
( spl34_802
| ~ spl34_470
| ~ spl34_508
| ~ spl34_520 ),
inference(avatar_split_clause,[],[f4880,f3642,f3539,f3284,f6553]) ).
fof(f6553,plain,
( spl34_802
<=> u3_conlat_1(k7_conlat_2(sK28)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_802])]) ).
fof(f4880,plain,
( u3_conlat_1(k7_conlat_2(sK28)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK28))))
| ~ spl34_470
| ~ spl34_508
| ~ spl34_520 ),
inference(forward_demodulation,[],[f4876,f4875]) ).
fof(f4875,plain,
( k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK28)))
| ~ spl34_470
| ~ spl34_508 ),
inference(resolution,[],[f3541,f3285]) ).
fof(f4876,plain,
( u3_conlat_1(k7_conlat_2(sK28)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))))
| ~ spl34_508
| ~ spl34_520 ),
inference(resolution,[],[f3541,f3643]) ).
fof(f6551,plain,
( spl34_801
| ~ spl34_470
| ~ spl34_508 ),
inference(avatar_split_clause,[],[f4875,f3539,f3284,f6548]) ).
fof(f6528,plain,
( spl34_16
| spl34_800
| ~ spl34_15
| ~ spl34_533 ),
inference(avatar_split_clause,[],[f3826,f3713,f602,f6525,f607]) ).
fof(f6525,plain,
( spl34_800
<=> k11_conlat_1(sK28) = g3_lattices(u1_struct_0(k11_conlat_1(sK28)),u2_lattices(k11_conlat_1(sK28)),u1_lattices(k11_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_800])]) ).
fof(f3826,plain,
( k11_conlat_1(sK28) = g3_lattices(u1_struct_0(k11_conlat_1(sK28)),u2_lattices(k11_conlat_1(sK28)),u1_lattices(k11_conlat_1(sK28)))
| v3_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_533 ),
inference(resolution,[],[f3714,f604]) ).
fof(f6494,plain,
( spl34_16
| spl34_799
| ~ spl34_15
| ~ spl34_530 ),
inference(avatar_split_clause,[],[f3819,f3684,f602,f6491,f607]) ).
fof(f3819,plain,
( k7_conlat_2(sK28) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28)))
| v3_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_530 ),
inference(resolution,[],[f3685,f604]) ).
fof(f6489,plain,
( spl34_798
| ~ spl34_177
| ~ spl34_500 ),
inference(avatar_split_clause,[],[f3571,f3503,f1347,f6487]) ).
fof(f3571,plain,
( ! [X0,X1] :
( sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl34_177
| ~ spl34_500 ),
inference(resolution,[],[f3504,f1348]) ).
fof(f6485,plain,
( spl34_797
| ~ spl34_189
| ~ spl34_406 ),
inference(avatar_split_clause,[],[f2943,f2893,f1428,f6483]) ).
fof(f1428,plain,
( spl34_189
<=> ! [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,[spl34_189])]) ).
fof(f2943,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(sK7(k1_zfmisc_1(X0)))) )
| ~ spl34_189
| ~ spl34_406 ),
inference(resolution,[],[f2894,f1429]) ).
fof(f1429,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl34_189 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f6481,plain,
( spl34_796
| ~ spl34_197
| ~ spl34_405 ),
inference(avatar_split_clause,[],[f2940,f2889,f1475,f6479]) ).
fof(f6479,plain,
( spl34_796
<=> ! [X0,X1] :
( v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_796])]) ).
fof(f2889,plain,
( spl34_405
<=> ! [X0] :
( m1_subset_1(sK12(sK12(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_405])]) ).
fof(f2940,plain,
( ! [X0,X1] :
( v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl34_197
| ~ spl34_405 ),
inference(resolution,[],[f2890,f1476]) ).
fof(f2890,plain,
( ! [X0] :
( m1_subset_1(sK12(sK12(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0))) )
| ~ spl34_405 ),
inference(avatar_component_clause,[],[f2889]) ).
fof(f6477,plain,
( spl34_795
| ~ spl34_178
| ~ spl34_405 ),
inference(avatar_split_clause,[],[f2938,f2889,f1351,f6475]) ).
fof(f6475,plain,
( spl34_795
<=> ! [X0,X1] :
( v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_795])]) ).
fof(f2938,plain,
( ! [X0,X1] :
( v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) )
| ~ spl34_178
| ~ spl34_405 ),
inference(resolution,[],[f2890,f1352]) ).
fof(f6473,plain,
( spl34_794
| ~ spl34_154
| ~ spl34_400 ),
inference(avatar_split_clause,[],[f2876,f2856,f1240,f6471]) ).
fof(f6471,plain,
( spl34_794
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k4_relat_1(k4_relat_1(k6_relset_1(X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_794])]) ).
fof(f1240,plain,
( spl34_154
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_154])]) ).
fof(f2876,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k4_relat_1(k4_relat_1(k6_relset_1(X1,X2,X0))) )
| ~ spl34_154
| ~ spl34_400 ),
inference(resolution,[],[f2857,f1241]) ).
fof(f1241,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 )
| ~ spl34_154 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f6463,plain,
( spl34_792
| ~ spl34_793
| ~ spl34_389
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4946,f4913,f2795,f6460,f6456]) ).
fof(f6456,plain,
( spl34_792
<=> u2_conlat_1(sK6) = u1_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_792])]) ).
fof(f6460,plain,
( spl34_793
<=> k7_conlat_2(sK6) = k7_conlat_2(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_793])]) ).
fof(f4946,plain,
( k7_conlat_2(sK6) != k7_conlat_2(k7_conlat_2(sK6))
| u2_conlat_1(sK6) = u1_conlat_1(sK6)
| ~ spl34_389
| ~ spl34_646 ),
inference(superposition,[],[f2796,f4915]) ).
fof(f6394,plain,
( spl34_791
| ~ spl34_395
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4800,f4770,f2830,f6391]) ).
fof(f2830,plain,
( spl34_395
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_395])]) ).
fof(f4800,plain,
( k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = u3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_395
| ~ spl34_635 ),
inference(trivial_inequality_removal,[],[f4790]) ).
fof(f4790,plain,
( k7_conlat_2(sK6) != k7_conlat_2(sK6)
| k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = u3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_395
| ~ spl34_635 ),
inference(superposition,[],[f2831,f4772]) ).
fof(f2831,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2 )
| ~ spl34_395 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f6283,plain,
( spl34_790
| ~ spl34_137
| ~ spl34_429
| ~ spl34_517
| ~ spl34_525
| ~ spl34_618 ),
inference(avatar_split_clause,[],[f4665,f4413,f3664,f3612,f3027,f1154,f6280]) ).
fof(f3027,plain,
( spl34_429
<=> u1_lattices(sK32) = k4_relat_1(k4_relat_1(u1_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_429])]) ).
fof(f4665,plain,
( u1_lattices(sK32) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u1_lattices(sK32)))
| ~ spl34_137
| ~ spl34_429
| ~ spl34_517
| ~ spl34_525
| ~ spl34_618 ),
inference(forward_demodulation,[],[f4664,f3029]) ).
fof(f3029,plain,
( u1_lattices(sK32) = k4_relat_1(k4_relat_1(u1_lattices(sK32)))
| ~ spl34_429 ),
inference(avatar_component_clause,[],[f3027]) ).
fof(f4664,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK32))) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u1_lattices(sK32)))
| ~ spl34_137
| ~ spl34_517
| ~ spl34_525
| ~ spl34_618 ),
inference(forward_demodulation,[],[f4659,f3627]) ).
fof(f4659,plain,
( k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32)))
| ~ spl34_525
| ~ spl34_618 ),
inference(resolution,[],[f4414,f3665]) ).
fof(f6278,plain,
( spl34_789
| ~ spl34_187
| ~ spl34_442
| ~ spl34_518
| ~ spl34_525
| ~ spl34_615 ),
inference(avatar_split_clause,[],[f4621,f4401,f3664,f3616,f3088,f1419,f6275]) ).
fof(f3088,plain,
( spl34_442
<=> u2_lattices(sK32) = k4_relat_1(k4_relat_1(u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_442])]) ).
fof(f4621,plain,
( u2_lattices(sK32) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u2_lattices(sK32)))
| ~ spl34_187
| ~ spl34_442
| ~ spl34_518
| ~ spl34_525
| ~ spl34_615 ),
inference(forward_demodulation,[],[f4620,f3090]) ).
fof(f3090,plain,
( u2_lattices(sK32) = k4_relat_1(k4_relat_1(u2_lattices(sK32)))
| ~ spl34_442 ),
inference(avatar_component_clause,[],[f3088]) ).
fof(f4620,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK32))) = k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k4_relat_1(u2_lattices(sK32)))
| ~ spl34_187
| ~ spl34_518
| ~ spl34_525
| ~ spl34_615 ),
inference(forward_demodulation,[],[f4615,f3635]) ).
fof(f4615,plain,
( k6_relset_1(u1_struct_0(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)))
| ~ spl34_525
| ~ spl34_615 ),
inference(resolution,[],[f4402,f3665]) ).
fof(f6273,plain,
( spl34_788
| ~ spl34_136
| ~ spl34_428
| ~ spl34_517
| ~ spl34_525
| ~ spl34_611 ),
inference(avatar_split_clause,[],[f4573,f4378,f3664,f3612,f3021,f1149,f6270]) ).
fof(f3021,plain,
( spl34_428
<=> u1_lattices(sK31) = k4_relat_1(k4_relat_1(u1_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_428])]) ).
fof(f4573,plain,
( u1_lattices(sK31) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u1_lattices(sK31)))
| ~ spl34_136
| ~ spl34_428
| ~ spl34_517
| ~ spl34_525
| ~ spl34_611 ),
inference(forward_demodulation,[],[f4572,f3023]) ).
fof(f3023,plain,
( u1_lattices(sK31) = k4_relat_1(k4_relat_1(u1_lattices(sK31)))
| ~ spl34_428 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f4572,plain,
( k4_relat_1(k4_relat_1(u1_lattices(sK31))) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u1_lattices(sK31)))
| ~ spl34_136
| ~ spl34_517
| ~ spl34_525
| ~ spl34_611 ),
inference(forward_demodulation,[],[f4567,f3626]) ).
fof(f4567,plain,
( k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31)))
| ~ spl34_525
| ~ spl34_611 ),
inference(resolution,[],[f4379,f3665]) ).
fof(f6268,plain,
( spl34_787
| ~ spl34_149
| ~ spl34_440
| ~ spl34_518
| ~ spl34_525
| ~ spl34_608 ),
inference(avatar_split_clause,[],[f4544,f4366,f3664,f3616,f3077,f1206,f6265]) ).
fof(f3077,plain,
( spl34_440
<=> u2_lattices(sK31) = k4_relat_1(k4_relat_1(u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_440])]) ).
fof(f4544,plain,
( u2_lattices(sK31) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u2_lattices(sK31)))
| ~ spl34_149
| ~ spl34_440
| ~ spl34_518
| ~ spl34_525
| ~ spl34_608 ),
inference(forward_demodulation,[],[f4543,f3079]) ).
fof(f3079,plain,
( u2_lattices(sK31) = k4_relat_1(k4_relat_1(u2_lattices(sK31)))
| ~ spl34_440 ),
inference(avatar_component_clause,[],[f3077]) ).
fof(f4543,plain,
( k4_relat_1(k4_relat_1(u2_lattices(sK31))) = k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k4_relat_1(u2_lattices(sK31)))
| ~ spl34_149
| ~ spl34_518
| ~ spl34_525
| ~ spl34_608 ),
inference(forward_demodulation,[],[f4538,f3634]) ).
fof(f4538,plain,
( k6_relset_1(u1_struct_0(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31))) = k4_relat_1(k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)))
| ~ spl34_525
| ~ spl34_608 ),
inference(resolution,[],[f4367,f3665]) ).
fof(f6263,plain,
( spl34_786
| ~ spl34_190
| ~ spl34_518
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4013,f3975,f3616,f1446,f6260]) ).
fof(f6260,plain,
( spl34_786
<=> u2_lattices(sK33) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),k4_relat_1(u2_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_786])]) ).
fof(f4013,plain,
( u2_lattices(sK33) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),k4_relat_1(u2_lattices(sK33)))
| ~ spl34_190
| ~ spl34_518
| ~ spl34_556 ),
inference(forward_demodulation,[],[f4007,f3636]) ).
fof(f4007,plain,
( u2_lattices(sK33) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u2_lattices(sK33)))
| ~ spl34_190
| ~ spl34_556 ),
inference(resolution,[],[f3976,f1448]) ).
fof(f6258,plain,
( spl34_785
| ~ spl34_187
| ~ spl34_518
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4012,f3975,f3616,f1419,f6255]) ).
fof(f6255,plain,
( spl34_785
<=> u2_lattices(sK32) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),k4_relat_1(u2_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_785])]) ).
fof(f4012,plain,
( u2_lattices(sK32) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),k4_relat_1(u2_lattices(sK32)))
| ~ spl34_187
| ~ spl34_518
| ~ spl34_556 ),
inference(forward_demodulation,[],[f4006,f3635]) ).
fof(f4006,plain,
( u2_lattices(sK32) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)))
| ~ spl34_187
| ~ spl34_556 ),
inference(resolution,[],[f3976,f1421]) ).
fof(f6253,plain,
( spl34_784
| ~ spl34_149
| ~ spl34_518
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4011,f3975,f3616,f1206,f6250]) ).
fof(f6250,plain,
( spl34_784
<=> u2_lattices(sK31) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),k4_relat_1(u2_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_784])]) ).
fof(f4011,plain,
( u2_lattices(sK31) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),k4_relat_1(u2_lattices(sK31)))
| ~ spl34_149
| ~ spl34_518
| ~ spl34_556 ),
inference(forward_demodulation,[],[f4005,f3634]) ).
fof(f4005,plain,
( u2_lattices(sK31) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)))
| ~ spl34_149
| ~ spl34_556 ),
inference(resolution,[],[f3976,f1208]) ).
fof(f6248,plain,
( spl34_783
| ~ spl34_140
| ~ spl34_518
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4010,f3975,f3616,f1169,f6245]) ).
fof(f6245,plain,
( spl34_783
<=> u2_lattices(sK30) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),k4_relat_1(u2_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_783])]) ).
fof(f4010,plain,
( u2_lattices(sK30) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),k4_relat_1(u2_lattices(sK30)))
| ~ spl34_140
| ~ spl34_518
| ~ spl34_556 ),
inference(forward_demodulation,[],[f4004,f3633]) ).
fof(f4004,plain,
( u2_lattices(sK30) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u2_lattices(sK30)))
| ~ spl34_140
| ~ spl34_556 ),
inference(resolution,[],[f3976,f1171]) ).
fof(f6243,plain,
( spl34_782
| ~ spl34_139
| ~ spl34_518
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4009,f3975,f3616,f1164,f6240]) ).
fof(f6240,plain,
( spl34_782
<=> u2_lattices(sK25) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),k4_relat_1(u2_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_782])]) ).
fof(f4009,plain,
( u2_lattices(sK25) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),k4_relat_1(u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_518
| ~ spl34_556 ),
inference(forward_demodulation,[],[f4003,f3632]) ).
fof(f3632,plain,
( k4_relat_1(u2_lattices(sK25)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25))
| ~ spl34_139
| ~ spl34_518 ),
inference(resolution,[],[f3617,f1166]) ).
fof(f4003,plain,
( u2_lattices(sK25) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_556 ),
inference(resolution,[],[f3976,f1166]) ).
fof(f6238,plain,
( spl34_781
| ~ spl34_8
| ~ spl34_518
| ~ spl34_556 ),
inference(avatar_split_clause,[],[f4008,f3975,f3616,f567,f6235]) ).
fof(f6235,plain,
( spl34_781
<=> u2_lattices(sK22) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),k4_relat_1(u2_lattices(sK22))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_781])]) ).
fof(f4008,plain,
( u2_lattices(sK22) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),k4_relat_1(u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_518
| ~ spl34_556 ),
inference(forward_demodulation,[],[f4002,f3631]) ).
fof(f3631,plain,
( k4_relat_1(u2_lattices(sK22)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22))
| ~ spl34_8
| ~ spl34_518 ),
inference(resolution,[],[f3617,f569]) ).
fof(f4002,plain,
( u2_lattices(sK22) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK22),u1_struct_0(sK22)),u1_struct_0(sK22),u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_556 ),
inference(resolution,[],[f3976,f569]) ).
fof(f6233,plain,
( spl34_780
| ~ spl34_138
| ~ spl34_517
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3999,f3971,f3612,f1159,f6230]) ).
fof(f6230,plain,
( spl34_780
<=> u1_lattices(sK33) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),k4_relat_1(u1_lattices(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_780])]) ).
fof(f3999,plain,
( u1_lattices(sK33) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),k4_relat_1(u1_lattices(sK33)))
| ~ spl34_138
| ~ spl34_517
| ~ spl34_555 ),
inference(forward_demodulation,[],[f3993,f3628]) ).
fof(f3993,plain,
( u1_lattices(sK33) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33),u1_lattices(sK33)))
| ~ spl34_138
| ~ spl34_555 ),
inference(resolution,[],[f3972,f1161]) ).
fof(f6228,plain,
( spl34_778
| ~ spl34_779
| ~ spl34_524
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4952,f4913,f3659,f6225,f6221]) ).
fof(f6221,plain,
( spl34_778
<=> u1_conlat_1(sK29) = u1_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_778])]) ).
fof(f6225,plain,
( spl34_779
<=> sK29 = k7_conlat_2(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_779])]) ).
fof(f4952,plain,
( sK29 != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK29) = u1_conlat_1(sK6)
| ~ spl34_524
| ~ spl34_646 ),
inference(superposition,[],[f3660,f4915]) ).
fof(f6219,plain,
( spl34_777
| ~ spl34_137
| ~ spl34_517
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3998,f3971,f3612,f1154,f6216]) ).
fof(f6216,plain,
( spl34_777
<=> u1_lattices(sK32) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),k4_relat_1(u1_lattices(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_777])]) ).
fof(f3998,plain,
( u1_lattices(sK32) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),k4_relat_1(u1_lattices(sK32)))
| ~ spl34_137
| ~ spl34_517
| ~ spl34_555 ),
inference(forward_demodulation,[],[f3992,f3627]) ).
fof(f3992,plain,
( u1_lattices(sK32) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32)))
| ~ spl34_137
| ~ spl34_555 ),
inference(resolution,[],[f3972,f1156]) ).
fof(f6214,plain,
( spl34_776
| ~ spl34_136
| ~ spl34_517
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3997,f3971,f3612,f1149,f6211]) ).
fof(f6211,plain,
( spl34_776
<=> u1_lattices(sK31) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),k4_relat_1(u1_lattices(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_776])]) ).
fof(f3997,plain,
( u1_lattices(sK31) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),k4_relat_1(u1_lattices(sK31)))
| ~ spl34_136
| ~ spl34_517
| ~ spl34_555 ),
inference(forward_demodulation,[],[f3991,f3626]) ).
fof(f3991,plain,
( u1_lattices(sK31) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31)))
| ~ spl34_136
| ~ spl34_555 ),
inference(resolution,[],[f3972,f1151]) ).
fof(f6209,plain,
( spl34_775
| ~ spl34_135
| ~ spl34_517
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3996,f3971,f3612,f1144,f6206]) ).
fof(f6206,plain,
( spl34_775
<=> u1_lattices(sK30) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),k4_relat_1(u1_lattices(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_775])]) ).
fof(f3996,plain,
( u1_lattices(sK30) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),k4_relat_1(u1_lattices(sK30)))
| ~ spl34_135
| ~ spl34_517
| ~ spl34_555 ),
inference(forward_demodulation,[],[f3990,f3625]) ).
fof(f3990,plain,
( u1_lattices(sK30) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30),u1_lattices(sK30)))
| ~ spl34_135
| ~ spl34_555 ),
inference(resolution,[],[f3972,f1146]) ).
fof(f6204,plain,
( spl34_774
| ~ spl34_132
| ~ spl34_517
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3995,f3971,f3612,f1125,f6201]) ).
fof(f6201,plain,
( spl34_774
<=> u1_lattices(sK25) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),k4_relat_1(u1_lattices(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_774])]) ).
fof(f3995,plain,
( u1_lattices(sK25) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),k4_relat_1(u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_517
| ~ spl34_555 ),
inference(forward_demodulation,[],[f3989,f3624]) ).
fof(f3624,plain,
( k4_relat_1(u1_lattices(sK25)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25))
| ~ spl34_132
| ~ spl34_517 ),
inference(resolution,[],[f3613,f1127]) ).
fof(f3989,plain,
( u1_lattices(sK25) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK25),u1_struct_0(sK25)),u1_struct_0(sK25),u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_555 ),
inference(resolution,[],[f3972,f1127]) ).
fof(f6199,plain,
( spl34_773
| ~ spl34_7
| ~ spl34_517
| ~ spl34_555 ),
inference(avatar_split_clause,[],[f3994,f3971,f3612,f562,f6196]) ).
fof(f6196,plain,
( spl34_773
<=> u1_lattices(sK21) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),k4_relat_1(u1_lattices(sK21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_773])]) ).
fof(f3994,plain,
( u1_lattices(sK21) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),k4_relat_1(u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_517
| ~ spl34_555 ),
inference(forward_demodulation,[],[f3988,f3623]) ).
fof(f3623,plain,
( k4_relat_1(u1_lattices(sK21)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21))
| ~ spl34_7
| ~ spl34_517 ),
inference(resolution,[],[f3613,f564]) ).
fof(f3988,plain,
( u1_lattices(sK21) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),k6_relset_1(k2_zfmisc_1(u1_struct_0(sK21),u1_struct_0(sK21)),u1_struct_0(sK21),u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_555 ),
inference(resolution,[],[f3972,f564]) ).
fof(f6194,plain,
( spl34_772
| ~ spl34_190
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3636,f3616,f1446,f6191]) ).
fof(f6189,plain,
( spl34_771
| ~ spl34_187
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3635,f3616,f1419,f6186]) ).
fof(f6186,plain,
( spl34_771
<=> k4_relat_1(u2_lattices(sK32)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u2_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_771])]) ).
fof(f6184,plain,
( spl34_770
| ~ spl34_149
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3634,f3616,f1206,f6181]) ).
fof(f6181,plain,
( spl34_770
<=> k4_relat_1(u2_lattices(sK31)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u2_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_770])]) ).
fof(f6179,plain,
( spl34_769
| ~ spl34_140
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3633,f3616,f1169,f6176]) ).
fof(f6174,plain,
( spl34_768
| ~ spl34_139
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3632,f3616,f1164,f6171]) ).
fof(f6169,plain,
( spl34_767
| ~ spl34_8
| ~ spl34_518 ),
inference(avatar_split_clause,[],[f3631,f3616,f567,f6166]) ).
fof(f6164,plain,
( spl34_766
| ~ spl34_138
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3628,f3612,f1159,f6161]) ).
fof(f6159,plain,
( spl34_765
| ~ spl34_137
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3627,f3612,f1154,f6156]) ).
fof(f6156,plain,
( spl34_765
<=> k4_relat_1(u1_lattices(sK32)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32),u1_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_765])]) ).
fof(f6154,plain,
( spl34_764
| ~ spl34_136
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3626,f3612,f1149,f6151]) ).
fof(f6151,plain,
( spl34_764
<=> k4_relat_1(u1_lattices(sK31)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31),u1_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_764])]) ).
fof(f6149,plain,
( spl34_763
| ~ spl34_135
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3625,f3612,f1144,f6146]) ).
fof(f6144,plain,
( spl34_762
| ~ spl34_132
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3624,f3612,f1125,f6141]) ).
fof(f6139,plain,
( spl34_761
| ~ spl34_7
| ~ spl34_517 ),
inference(avatar_split_clause,[],[f3623,f3612,f562,f6136]) ).
fof(f6134,plain,
( spl34_760
| ~ spl34_288
| ~ spl34_407 ),
inference(avatar_split_clause,[],[f2946,f2897,f2066,f6132]) ).
fof(f2066,plain,
( spl34_288
<=> ! [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,[spl34_288])]) ).
fof(f2946,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) )
| ~ spl34_288
| ~ spl34_407 ),
inference(resolution,[],[f2898,f2067]) ).
fof(f2067,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl34_288 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f6130,plain,
( spl34_759
| ~ spl34_189
| ~ spl34_405 ),
inference(avatar_split_clause,[],[f2939,f2889,f1428,f6128]) ).
fof(f2939,plain,
( ! [X0,X1] :
( v1_xboole_0(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(sK12(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl34_189
| ~ spl34_405 ),
inference(resolution,[],[f2890,f1429]) ).
fof(f5931,plain,
( spl34_757
| ~ spl34_758
| ~ spl34_522
| ~ spl34_646 ),
inference(avatar_split_clause,[],[f4951,f4913,f3650,f5928,f5924]) ).
fof(f5924,plain,
( spl34_757
<=> u1_conlat_1(sK28) = u1_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_757])]) ).
fof(f5928,plain,
( spl34_758
<=> sK28 = k7_conlat_2(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_758])]) ).
fof(f4951,plain,
( sK28 != k7_conlat_2(k7_conlat_2(sK6))
| u1_conlat_1(sK28) = u1_conlat_1(sK6)
| ~ spl34_522
| ~ spl34_646 ),
inference(superposition,[],[f3651,f4915]) ).
fof(f5889,plain,
( spl34_756
| ~ spl34_18
| ~ spl34_675
| ~ spl34_755 ),
inference(avatar_split_clause,[],[f5884,f5880,f5245,f617,f5886]) ).
fof(f5886,plain,
( spl34_756
<=> k4_relat_1(u3_conlat_1(sK29)) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),u3_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_756])]) ).
fof(f5880,plain,
( spl34_755
<=> k4_relat_1(u3_conlat_1(sK29)) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(k4_relat_1(u3_conlat_1(sK29)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_755])]) ).
fof(f5884,plain,
( k4_relat_1(u3_conlat_1(sK29)) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),u3_conlat_1(sK29))
| ~ spl34_18
| ~ spl34_675
| ~ spl34_755 ),
inference(forward_demodulation,[],[f5882,f5325]) ).
fof(f5882,plain,
( k4_relat_1(u3_conlat_1(sK29)) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(k4_relat_1(u3_conlat_1(sK29))))
| ~ spl34_755 ),
inference(avatar_component_clause,[],[f5880]) ).
fof(f5883,plain,
( spl34_755
| ~ spl34_18
| ~ spl34_470
| ~ spl34_523
| ~ spl34_525
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3940,f3889,f3664,f3655,f3284,f617,f5880]) ).
fof(f3940,plain,
( k4_relat_1(u3_conlat_1(sK29)) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(k4_relat_1(u3_conlat_1(sK29))))
| ~ spl34_18
| ~ spl34_470
| ~ spl34_523
| ~ spl34_525
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3939,f3797]) ).
fof(f3797,plain,
( k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29))) = k4_relat_1(k4_relat_1(u3_conlat_1(sK29)))
| ~ spl34_18
| ~ spl34_470
| ~ spl34_523
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3778,f3362]) ).
fof(f3362,plain,
( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = k4_relat_1(u3_conlat_1(sK29))
| ~ spl34_18
| ~ spl34_470 ),
inference(resolution,[],[f3285,f619]) ).
fof(f3778,plain,
( k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29))) = k4_relat_1(k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)))
| ~ spl34_523
| ~ spl34_525 ),
inference(resolution,[],[f3665,f3656]) ).
fof(f3656,plain,
( m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ~ spl34_523 ),
inference(avatar_component_clause,[],[f3655]) ).
fof(f3939,plain,
( k4_relat_1(u3_conlat_1(sK29)) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29))))
| ~ spl34_18
| ~ spl34_470
| ~ spl34_523
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3920,f3362]) ).
fof(f3920,plain,
( k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29))))
| ~ spl34_523
| ~ spl34_548 ),
inference(resolution,[],[f3890,f3656]) ).
fof(f5873,plain,
( spl34_754
| ~ spl34_15
| ~ spl34_675
| ~ spl34_753 ),
inference(avatar_split_clause,[],[f5868,f5864,f5245,f602,f5870]) ).
fof(f5870,plain,
( spl34_754
<=> k4_relat_1(u3_conlat_1(sK28)) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),u3_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_754])]) ).
fof(f5864,plain,
( spl34_753
<=> k4_relat_1(u3_conlat_1(sK28)) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(k4_relat_1(u3_conlat_1(sK28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_753])]) ).
fof(f5868,plain,
( k4_relat_1(u3_conlat_1(sK28)) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),u3_conlat_1(sK28))
| ~ spl34_15
| ~ spl34_675
| ~ spl34_753 ),
inference(forward_demodulation,[],[f5866,f5324]) ).
fof(f5866,plain,
( k4_relat_1(u3_conlat_1(sK28)) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(k4_relat_1(u3_conlat_1(sK28))))
| ~ spl34_753 ),
inference(avatar_component_clause,[],[f5864]) ).
fof(f5867,plain,
( spl34_753
| ~ spl34_15
| ~ spl34_470
| ~ spl34_521
| ~ spl34_525
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3938,f3889,f3664,f3646,f3284,f602,f5864]) ).
fof(f3938,plain,
( k4_relat_1(u3_conlat_1(sK28)) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(k4_relat_1(u3_conlat_1(sK28))))
| ~ spl34_15
| ~ spl34_470
| ~ spl34_521
| ~ spl34_525
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3937,f3796]) ).
fof(f3796,plain,
( k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28))) = k4_relat_1(k4_relat_1(u3_conlat_1(sK28)))
| ~ spl34_15
| ~ spl34_470
| ~ spl34_521
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3777,f3361]) ).
fof(f3361,plain,
( k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = k4_relat_1(u3_conlat_1(sK28))
| ~ spl34_15
| ~ spl34_470 ),
inference(resolution,[],[f3285,f604]) ).
fof(f3777,plain,
( k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28))) = k4_relat_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)))
| ~ spl34_521
| ~ spl34_525 ),
inference(resolution,[],[f3665,f3647]) ).
fof(f3647,plain,
( m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_521 ),
inference(avatar_component_clause,[],[f3646]) ).
fof(f3937,plain,
( k4_relat_1(u3_conlat_1(sK28)) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28))))
| ~ spl34_15
| ~ spl34_470
| ~ spl34_521
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3919,f3361]) ).
fof(f3919,plain,
( k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28))))
| ~ spl34_521
| ~ spl34_548 ),
inference(resolution,[],[f3890,f3647]) ).
fof(f5852,plain,
( spl34_752
| ~ spl34_18
| ~ spl34_675
| ~ spl34_751 ),
inference(avatar_split_clause,[],[f5847,f5843,f5245,f617,f5849]) ).
fof(f5849,plain,
( spl34_752
<=> u3_conlat_1(sK29) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_752])]) ).
fof(f5843,plain,
( spl34_751
<=> k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29))) = k4_relat_1(k4_relat_1(u3_conlat_1(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_751])]) ).
fof(f5847,plain,
( u3_conlat_1(sK29) = k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29)))
| ~ spl34_18
| ~ spl34_675
| ~ spl34_751 ),
inference(forward_demodulation,[],[f5845,f5325]) ).
fof(f5845,plain,
( k6_relset_1(u2_conlat_1(sK29),u1_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29))) = k4_relat_1(k4_relat_1(u3_conlat_1(sK29)))
| ~ spl34_751 ),
inference(avatar_component_clause,[],[f5843]) ).
fof(f5846,plain,
( spl34_751
| ~ spl34_18
| ~ spl34_470
| ~ spl34_523
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3797,f3664,f3655,f3284,f617,f5843]) ).
fof(f5836,plain,
( spl34_750
| ~ spl34_15
| ~ spl34_675
| ~ spl34_749 ),
inference(avatar_split_clause,[],[f5831,f5827,f5245,f602,f5833]) ).
fof(f5833,plain,
( spl34_750
<=> u3_conlat_1(sK28) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_750])]) ).
fof(f5827,plain,
( spl34_749
<=> k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28))) = k4_relat_1(k4_relat_1(u3_conlat_1(sK28))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_749])]) ).
fof(f5831,plain,
( u3_conlat_1(sK28) = k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28)))
| ~ spl34_15
| ~ spl34_675
| ~ spl34_749 ),
inference(forward_demodulation,[],[f5829,f5324]) ).
fof(f5829,plain,
( k6_relset_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28))) = k4_relat_1(k4_relat_1(u3_conlat_1(sK28)))
| ~ spl34_749 ),
inference(avatar_component_clause,[],[f5827]) ).
fof(f5830,plain,
( spl34_749
| ~ spl34_15
| ~ spl34_470
| ~ spl34_521
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3796,f3664,f3646,f3284,f602,f5827]) ).
fof(f5825,plain,
( spl34_748
| ~ spl34_46
| ~ spl34_514 ),
inference(avatar_split_clause,[],[f3602,f3568,f757,f5822]) ).
fof(f5822,plain,
( spl34_748
<=> k1_lattice2(sK33) = g3_lattices(u1_struct_0(k1_lattice2(sK33)),u2_lattices(k1_lattice2(sK33)),u1_lattices(k1_lattice2(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_748])]) ).
fof(f757,plain,
( spl34_46
<=> l3_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_46])]) ).
fof(f3602,plain,
( k1_lattice2(sK33) = g3_lattices(u1_struct_0(k1_lattice2(sK33)),u2_lattices(k1_lattice2(sK33)),u1_lattices(k1_lattice2(sK33)))
| ~ spl34_46
| ~ spl34_514 ),
inference(resolution,[],[f3569,f759]) ).
fof(f759,plain,
( l3_lattices(sK33)
| ~ spl34_46 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f5820,plain,
( spl34_747
| ~ spl34_33
| ~ spl34_514 ),
inference(avatar_split_clause,[],[f3601,f3568,f692,f5817]) ).
fof(f5817,plain,
( spl34_747
<=> k1_lattice2(sK32) = g3_lattices(u1_struct_0(k1_lattice2(sK32)),u2_lattices(k1_lattice2(sK32)),u1_lattices(k1_lattice2(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_747])]) ).
fof(f692,plain,
( spl34_33
<=> l3_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_33])]) ).
fof(f3601,plain,
( k1_lattice2(sK32) = g3_lattices(u1_struct_0(k1_lattice2(sK32)),u2_lattices(k1_lattice2(sK32)),u1_lattices(k1_lattice2(sK32)))
| ~ spl34_33
| ~ spl34_514 ),
inference(resolution,[],[f3569,f694]) ).
fof(f694,plain,
( l3_lattices(sK32)
| ~ spl34_33 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f5815,plain,
( spl34_746
| ~ spl34_23
| ~ spl34_514 ),
inference(avatar_split_clause,[],[f3600,f3568,f642,f5812]) ).
fof(f5812,plain,
( spl34_746
<=> k1_lattice2(sK31) = g3_lattices(u1_struct_0(k1_lattice2(sK31)),u2_lattices(k1_lattice2(sK31)),u1_lattices(k1_lattice2(sK31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_746])]) ).
fof(f642,plain,
( spl34_23
<=> l3_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_23])]) ).
fof(f3600,plain,
( k1_lattice2(sK31) = g3_lattices(u1_struct_0(k1_lattice2(sK31)),u2_lattices(k1_lattice2(sK31)),u1_lattices(k1_lattice2(sK31)))
| ~ spl34_23
| ~ spl34_514 ),
inference(resolution,[],[f3569,f644]) ).
fof(f644,plain,
( l3_lattices(sK31)
| ~ spl34_23 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f5810,plain,
( spl34_745
| ~ spl34_20
| ~ spl34_514 ),
inference(avatar_split_clause,[],[f3599,f3568,f627,f5807]) ).
fof(f5807,plain,
( spl34_745
<=> k1_lattice2(sK30) = g3_lattices(u1_struct_0(k1_lattice2(sK30)),u2_lattices(k1_lattice2(sK30)),u1_lattices(k1_lattice2(sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_745])]) ).
fof(f627,plain,
( spl34_20
<=> l3_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_20])]) ).
fof(f3599,plain,
( k1_lattice2(sK30) = g3_lattices(u1_struct_0(k1_lattice2(sK30)),u2_lattices(k1_lattice2(sK30)),u1_lattices(k1_lattice2(sK30)))
| ~ spl34_20
| ~ spl34_514 ),
inference(resolution,[],[f3569,f629]) ).
fof(f629,plain,
( l3_lattices(sK30)
| ~ spl34_20 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f5805,plain,
( spl34_744
| ~ spl34_11
| ~ spl34_514 ),
inference(avatar_split_clause,[],[f3598,f3568,f582,f5802]) ).
fof(f5802,plain,
( spl34_744
<=> k1_lattice2(sK25) = g3_lattices(u1_struct_0(k1_lattice2(sK25)),u2_lattices(k1_lattice2(sK25)),u1_lattices(k1_lattice2(sK25))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_744])]) ).
fof(f582,plain,
( spl34_11
<=> l3_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_11])]) ).
fof(f3598,plain,
( k1_lattice2(sK25) = g3_lattices(u1_struct_0(k1_lattice2(sK25)),u2_lattices(k1_lattice2(sK25)),u1_lattices(k1_lattice2(sK25)))
| ~ spl34_11
| ~ spl34_514 ),
inference(resolution,[],[f3569,f584]) ).
fof(f584,plain,
( l3_lattices(sK25)
| ~ spl34_11 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f5800,plain,
( ~ spl34_723
| ~ spl34_72
| spl34_722 ),
inference(avatar_split_clause,[],[f5757,f5566,f880,f5570]) ).
fof(f5570,plain,
( spl34_723
<=> v1_relat_1(u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_723])]) ).
fof(f5566,plain,
( spl34_722
<=> v1_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_722])]) ).
fof(f5757,plain,
( ~ v1_relat_1(u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_72
| spl34_722 ),
inference(resolution,[],[f5568,f881]) ).
fof(f5568,plain,
( ~ v1_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| spl34_722 ),
inference(avatar_component_clause,[],[f5566]) ).
fof(f5799,plain,
( spl34_743
| ~ spl34_260
| ~ spl34_496 ),
inference(avatar_split_clause,[],[f3493,f3446,f1908,f5797]) ).
fof(f3493,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(X2,X1,X0)
| v1_xboole_0(k6_relset_1(X1,X0,X2)) )
| ~ spl34_260
| ~ spl34_496 ),
inference(resolution,[],[f3447,f1909]) ).
fof(f5795,plain,
( spl34_742
| ~ spl34_199
| ~ spl34_468 ),
inference(avatar_split_clause,[],[f3282,f3272,f1506,f5793]) ).
fof(f5793,plain,
( spl34_742
<=> ! [X0,X1] :
( m2_relset_1(sK16(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_742])]) ).
fof(f3282,plain,
( ! [X0,X1] :
( m2_relset_1(sK16(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) )
| ~ spl34_199
| ~ spl34_468 ),
inference(superposition,[],[f1507,f3273]) ).
fof(f5791,plain,
( spl34_741
| ~ spl34_304
| ~ spl34_468 ),
inference(avatar_split_clause,[],[f3281,f3272,f2142,f5789]) ).
fof(f5789,plain,
( spl34_741
<=> ! [X0,X1] :
( m1_relset_1(sK16(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_741])]) ).
fof(f3281,plain,
( ! [X0,X1] :
( m1_relset_1(sK16(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK16(X0,X1)),X0,X1) )
| ~ spl34_304
| ~ spl34_468 ),
inference(superposition,[],[f2143,f3273]) ).
fof(f5787,plain,
( spl34_740
| ~ spl34_72
| ~ spl34_418 ),
inference(avatar_split_clause,[],[f3164,f2977,f880,f5785]) ).
fof(f3164,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(k4_relat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0)))))
| ~ v1_relat_1(X0) )
| ~ spl34_72
| ~ spl34_418 ),
inference(resolution,[],[f2978,f881]) ).
fof(f5783,plain,
( spl34_739
| ~ spl34_388
| ~ spl34_418 ),
inference(avatar_split_clause,[],[f3161,f2977,f2784,f5781]) ).
fof(f5781,plain,
( spl34_739
<=> ! [X0] :
( k4_relat_1(k4_relat_1(u3_conlat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0)))))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_739])]) ).
fof(f3161,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(u3_conlat_1(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0)))))
| ~ l2_conlat_1(X0) )
| ~ spl34_388
| ~ spl34_418 ),
inference(resolution,[],[f2978,f2785]) ).
fof(f5779,plain,
( spl34_738
| ~ spl34_387
| ~ spl34_418 ),
inference(avatar_split_clause,[],[f3159,f2977,f2780,f5777]) ).
fof(f3159,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(u1_lattices(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0)))))
| ~ l1_lattices(X0) )
| ~ spl34_387
| ~ spl34_418 ),
inference(resolution,[],[f2978,f2781]) ).
fof(f5775,plain,
( spl34_737
| ~ spl34_386
| ~ spl34_418 ),
inference(avatar_split_clause,[],[f3158,f2977,f2776,f5773]) ).
fof(f3158,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(u2_lattices(X0))) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0)))))
| ~ l2_lattices(X0) )
| ~ spl34_386
| ~ spl34_418 ),
inference(resolution,[],[f2978,f2777]) ).
fof(f5771,plain,
( spl34_736
| ~ spl34_199
| ~ spl34_417 ),
inference(avatar_split_clause,[],[f3157,f2973,f1506,f5769]) ).
fof(f5769,plain,
( spl34_736
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK16(X0,X1)),X1,X0)
| ~ m1_relset_1(sK16(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_736])]) ).
fof(f3157,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK16(X0,X1)),X1,X0)
| ~ m1_relset_1(sK16(X0,X1),X0,X1) )
| ~ spl34_199
| ~ spl34_417 ),
inference(superposition,[],[f1507,f2974]) ).
fof(f5767,plain,
( spl34_735
| ~ spl34_304
| ~ spl34_417 ),
inference(avatar_split_clause,[],[f3156,f2973,f2142,f5765]) ).
fof(f5765,plain,
( spl34_735
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK16(X0,X1)),X1,X0)
| ~ m1_relset_1(sK16(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_735])]) ).
fof(f3156,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK16(X0,X1)),X1,X0)
| ~ m1_relset_1(sK16(X0,X1),X0,X1) )
| ~ spl34_304
| ~ spl34_417 ),
inference(superposition,[],[f2143,f2974]) ).
fof(f5726,plain,
( spl34_734
| ~ spl34_164
| ~ spl34_454 ),
inference(avatar_split_clause,[],[f3177,f3148,f1280,f5724]) ).
fof(f3148,plain,
( spl34_454
<=> ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_454])]) ).
fof(f3177,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_454 ),
inference(resolution,[],[f3149,f1281]) ).
fof(f3149,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_454 ),
inference(avatar_component_clause,[],[f3148]) ).
fof(f5722,plain,
( spl34_733
| ~ spl34_164
| ~ spl34_453 ),
inference(avatar_split_clause,[],[f3176,f3144,f1280,f5720]) ).
fof(f3144,plain,
( spl34_453
<=> ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_453])]) ).
fof(f3176,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_453 ),
inference(resolution,[],[f3145,f1281]) ).
fof(f3145,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_453 ),
inference(avatar_component_clause,[],[f3144]) ).
fof(f5718,plain,
( spl34_732
| ~ spl34_260
| ~ spl34_416 ),
inference(avatar_split_clause,[],[f2971,f2934,f1908,f5716]) ).
fof(f5716,plain,
( spl34_732
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK18(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_732])]) ).
fof(f2934,plain,
( spl34_416
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK18(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_416])]) ).
fof(f2971,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK18(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK18(X0,X1)) )
| ~ spl34_260
| ~ spl34_416 ),
inference(resolution,[],[f2935,f1909]) ).
fof(f2935,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK18(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_416 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f5714,plain,
( spl34_731
| ~ spl34_260
| ~ spl34_415 ),
inference(avatar_split_clause,[],[f2970,f2930,f1908,f5712]) ).
fof(f5712,plain,
( spl34_731
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK17(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_731])]) ).
fof(f2930,plain,
( spl34_415
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK17(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_415])]) ).
fof(f2970,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK17(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK17(X0,X1)) )
| ~ spl34_260
| ~ spl34_415 ),
inference(resolution,[],[f2931,f1909]) ).
fof(f2931,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK17(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_415 ),
inference(avatar_component_clause,[],[f2930]) ).
fof(f5706,plain,
( spl34_730
| ~ spl34_260
| ~ spl34_414 ),
inference(avatar_split_clause,[],[f2969,f2926,f1908,f5704]) ).
fof(f5704,plain,
( spl34_730
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK16(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK16(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_730])]) ).
fof(f2926,plain,
( spl34_414
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK16(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_414])]) ).
fof(f2969,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK16(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK16(X0,X1)) )
| ~ spl34_260
| ~ spl34_414 ),
inference(resolution,[],[f2927,f1909]) ).
fof(f2927,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK16(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_414 ),
inference(avatar_component_clause,[],[f2926]) ).
fof(f5702,plain,
( spl34_729
| ~ spl34_260
| ~ spl34_413 ),
inference(avatar_split_clause,[],[f2968,f2922,f1908,f5700]) ).
fof(f5700,plain,
( spl34_729
<=> ! [X0,X1] :
( m1_subset_1(sK12(sK15(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_729])]) ).
fof(f2922,plain,
( spl34_413
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_413])]) ).
fof(f2968,plain,
( ! [X0,X1] :
( m1_subset_1(sK12(sK15(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK15(X0,X1)) )
| ~ spl34_260
| ~ spl34_413 ),
inference(resolution,[],[f2923,f1909]) ).
fof(f2923,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_413 ),
inference(avatar_component_clause,[],[f2922]) ).
fof(f5698,plain,
( spl34_728
| ~ spl34_176
| ~ spl34_405 ),
inference(avatar_split_clause,[],[f2937,f2889,f1343,f5696]) ).
fof(f2937,plain,
( ! [X0] :
( v1_xboole_0(sK12(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK12(sK12(k1_zfmisc_1(X0))),X0) )
| ~ spl34_176
| ~ spl34_405 ),
inference(resolution,[],[f2890,f1344]) ).
fof(f5669,plain,
( ~ spl34_374
| ~ spl34_388
| spl34_723 ),
inference(avatar_split_clause,[],[f5620,f5570,f2784,f2696]) ).
fof(f5620,plain,
( ~ l2_conlat_1(k7_conlat_2(sK6))
| ~ spl34_388
| spl34_723 ),
inference(resolution,[],[f5571,f2785]) ).
fof(f5571,plain,
( ~ v1_relat_1(u3_conlat_1(k7_conlat_2(sK6)))
| spl34_723 ),
inference(avatar_component_clause,[],[f5570]) ).
fof(f5589,plain,
( spl34_727
| ~ spl34_150
| ~ spl34_278
| ~ spl34_303
| ~ spl34_525
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3932,f3889,f3664,f2138,f2011,f1211,f5587]) ).
fof(f2011,plain,
( spl34_278
<=> ! [X0,X1] : sK18(X0,X1) = k4_relat_1(k4_relat_1(sK18(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_278])]) ).
fof(f2138,plain,
( spl34_303
<=> ! [X0,X1] : k4_relat_1(sK18(X0,X1)) = k6_relset_1(X0,X1,sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_303])]) ).
fof(f3932,plain,
( ! [X0,X1] : k4_relat_1(sK18(X0,X1)) = k6_relset_1(X1,X0,sK18(X0,X1))
| ~ spl34_150
| ~ spl34_278
| ~ spl34_303
| ~ spl34_525
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3931,f3790]) ).
fof(f3790,plain,
( ! [X0,X1] : sK18(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK18(X1,X0)))
| ~ spl34_150
| ~ spl34_278
| ~ spl34_303
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3789,f2012]) ).
fof(f2012,plain,
( ! [X0,X1] : sK18(X0,X1) = k4_relat_1(k4_relat_1(sK18(X0,X1)))
| ~ spl34_278 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f3789,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k4_relat_1(sK18(X1,X0))) = k4_relat_1(k4_relat_1(sK18(X1,X0)))
| ~ spl34_150
| ~ spl34_303
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3769,f2139]) ).
fof(f2139,plain,
( ! [X0,X1] : k4_relat_1(sK18(X0,X1)) = k6_relset_1(X0,X1,sK18(X0,X1))
| ~ spl34_303 ),
inference(avatar_component_clause,[],[f2138]) ).
fof(f3769,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k6_relset_1(X1,X0,sK18(X1,X0))) = k4_relat_1(k6_relset_1(X1,X0,sK18(X1,X0)))
| ~ spl34_150
| ~ spl34_525 ),
inference(resolution,[],[f3665,f1212]) ).
fof(f3931,plain,
( ! [X0,X1] : k4_relat_1(sK18(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK18(X0,X1))))
| ~ spl34_150
| ~ spl34_303
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3911,f2139]) ).
fof(f3911,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK18(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k6_relset_1(X0,X1,sK18(X0,X1))))
| ~ spl34_150
| ~ spl34_548 ),
inference(resolution,[],[f3890,f1212]) ).
fof(f5585,plain,
( spl34_726
| ~ spl34_148
| ~ spl34_277
| ~ spl34_302
| ~ spl34_525
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3930,f3889,f3664,f2134,f2007,f1202,f5583]) ).
fof(f2007,plain,
( spl34_277
<=> ! [X0,X1] : sK17(X0,X1) = k4_relat_1(k4_relat_1(sK17(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_277])]) ).
fof(f2134,plain,
( spl34_302
<=> ! [X0,X1] : k4_relat_1(sK17(X0,X1)) = k6_relset_1(X0,X1,sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_302])]) ).
fof(f3930,plain,
( ! [X0,X1] : k4_relat_1(sK17(X0,X1)) = k6_relset_1(X1,X0,sK17(X0,X1))
| ~ spl34_148
| ~ spl34_277
| ~ spl34_302
| ~ spl34_525
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3929,f3788]) ).
fof(f3788,plain,
( ! [X0,X1] : sK17(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK17(X1,X0)))
| ~ spl34_148
| ~ spl34_277
| ~ spl34_302
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3787,f2008]) ).
fof(f2008,plain,
( ! [X0,X1] : sK17(X0,X1) = k4_relat_1(k4_relat_1(sK17(X0,X1)))
| ~ spl34_277 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f3787,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k4_relat_1(sK17(X1,X0))) = k4_relat_1(k4_relat_1(sK17(X1,X0)))
| ~ spl34_148
| ~ spl34_302
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3768,f2135]) ).
fof(f2135,plain,
( ! [X0,X1] : k4_relat_1(sK17(X0,X1)) = k6_relset_1(X0,X1,sK17(X0,X1))
| ~ spl34_302 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f3768,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k6_relset_1(X1,X0,sK17(X1,X0))) = k4_relat_1(k6_relset_1(X1,X0,sK17(X1,X0)))
| ~ spl34_148
| ~ spl34_525 ),
inference(resolution,[],[f3665,f1203]) ).
fof(f3929,plain,
( ! [X0,X1] : k4_relat_1(sK17(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK17(X0,X1))))
| ~ spl34_148
| ~ spl34_302
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3910,f2135]) ).
fof(f3910,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK17(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k6_relset_1(X0,X1,sK17(X0,X1))))
| ~ spl34_148
| ~ spl34_548 ),
inference(resolution,[],[f3890,f1203]) ).
fof(f5581,plain,
( spl34_725
| ~ spl34_154
| ~ spl34_262
| ~ spl34_379
| ~ spl34_417
| ~ spl34_525
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3928,f3889,f3664,f2973,f2730,f1916,f1240,f5579]) ).
fof(f2730,plain,
( spl34_379
<=> ! [X0,X1] : v1_relat_1(sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_379])]) ).
fof(f3928,plain,
( ! [X0,X1] : k4_relat_1(sK16(X0,X1)) = k6_relset_1(X1,X0,sK16(X0,X1))
| ~ spl34_154
| ~ spl34_262
| ~ spl34_379
| ~ spl34_417
| ~ spl34_525
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3927,f3786]) ).
fof(f3786,plain,
( ! [X0,X1] : sK16(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK16(X1,X0)))
| ~ spl34_154
| ~ spl34_262
| ~ spl34_379
| ~ spl34_417
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3785,f2749]) ).
fof(f2749,plain,
( ! [X0,X1] : sK16(X0,X1) = k4_relat_1(k4_relat_1(sK16(X0,X1)))
| ~ spl34_154
| ~ spl34_379 ),
inference(resolution,[],[f2731,f1241]) ).
fof(f2731,plain,
( ! [X0,X1] : v1_relat_1(sK16(X0,X1))
| ~ spl34_379 ),
inference(avatar_component_clause,[],[f2730]) ).
fof(f3785,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k4_relat_1(sK16(X1,X0))) = k4_relat_1(k4_relat_1(sK16(X1,X0)))
| ~ spl34_262
| ~ spl34_417
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3767,f2974]) ).
fof(f3767,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k6_relset_1(X1,X0,sK16(X1,X0))) = k4_relat_1(k6_relset_1(X1,X0,sK16(X1,X0)))
| ~ spl34_262
| ~ spl34_525 ),
inference(resolution,[],[f3665,f1917]) ).
fof(f3927,plain,
( ! [X0,X1] : k4_relat_1(sK16(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK16(X0,X1))))
| ~ spl34_262
| ~ spl34_417
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3909,f2974]) ).
fof(f3909,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK16(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k6_relset_1(X0,X1,sK16(X0,X1))))
| ~ spl34_262
| ~ spl34_548 ),
inference(resolution,[],[f3890,f1917]) ).
fof(f5577,plain,
( spl34_724
| ~ spl34_146
| ~ spl34_154
| ~ spl34_301
| ~ spl34_378
| ~ spl34_525
| ~ spl34_548 ),
inference(avatar_split_clause,[],[f3926,f3889,f3664,f2726,f2130,f1240,f1194,f5575]) ).
fof(f2130,plain,
( spl34_301
<=> ! [X0,X1] : k6_relset_1(X0,X1,sK15(X0,X1)) = k4_relat_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_301])]) ).
fof(f2726,plain,
( spl34_378
<=> ! [X0,X1] : v1_relat_1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_378])]) ).
fof(f3926,plain,
( ! [X0,X1] : k4_relat_1(sK15(X0,X1)) = k6_relset_1(X1,X0,sK15(X0,X1))
| ~ spl34_146
| ~ spl34_154
| ~ spl34_301
| ~ spl34_378
| ~ spl34_525
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3925,f3784]) ).
fof(f3784,plain,
( ! [X0,X1] : sK15(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK15(X1,X0)))
| ~ spl34_146
| ~ spl34_154
| ~ spl34_301
| ~ spl34_378
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3783,f2742]) ).
fof(f2742,plain,
( ! [X0,X1] : sK15(X0,X1) = k4_relat_1(k4_relat_1(sK15(X0,X1)))
| ~ spl34_154
| ~ spl34_378 ),
inference(resolution,[],[f2727,f1241]) ).
fof(f2727,plain,
( ! [X0,X1] : v1_relat_1(sK15(X0,X1))
| ~ spl34_378 ),
inference(avatar_component_clause,[],[f2726]) ).
fof(f3783,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k4_relat_1(sK15(X1,X0))) = k4_relat_1(k4_relat_1(sK15(X1,X0)))
| ~ spl34_146
| ~ spl34_301
| ~ spl34_525 ),
inference(forward_demodulation,[],[f3766,f2131]) ).
fof(f2131,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK15(X0,X1)) = k4_relat_1(sK15(X0,X1))
| ~ spl34_301 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f3766,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,k6_relset_1(X1,X0,sK15(X1,X0))) = k4_relat_1(k6_relset_1(X1,X0,sK15(X1,X0)))
| ~ spl34_146
| ~ spl34_525 ),
inference(resolution,[],[f3665,f1195]) ).
fof(f3925,plain,
( ! [X0,X1] : k4_relat_1(sK15(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k4_relat_1(sK15(X0,X1))))
| ~ spl34_146
| ~ spl34_301
| ~ spl34_548 ),
inference(forward_demodulation,[],[f3908,f2131]) ).
fof(f3908,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK15(X0,X1)) = k6_relset_1(X1,X0,k6_relset_1(X1,X0,k6_relset_1(X0,X1,sK15(X0,X1))))
| ~ spl34_146
| ~ spl34_548 ),
inference(resolution,[],[f3890,f1195]) ).
fof(f5573,plain,
( ~ spl34_722
| spl34_723
| ~ spl34_72
| ~ spl34_690 ),
inference(avatar_split_clause,[],[f5433,f5364,f880,f5570,f5566]) ).
fof(f5364,plain,
( spl34_690
<=> u3_conlat_1(k7_conlat_2(sK6)) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_690])]) ).
fof(f5433,plain,
( v1_relat_1(u3_conlat_1(k7_conlat_2(sK6)))
| ~ v1_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_72
| ~ spl34_690 ),
inference(superposition,[],[f881,f5366]) ).
fof(f5366,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_690 ),
inference(avatar_component_clause,[],[f5364]) ).
fof(f5564,plain,
( spl34_721
| ~ spl34_177
| ~ spl34_535 ),
inference(avatar_split_clause,[],[f3835,f3721,f1347,f5562]) ).
fof(f5562,plain,
( spl34_721
<=> ! [X0] :
( ~ v1_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_721])]) ).
fof(f3721,plain,
( spl34_535
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ v1_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_535])]) ).
fof(f3835,plain,
( ! [X0] :
( ~ v1_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl34_177
| ~ spl34_535 ),
inference(duplicate_literal_removal,[],[f3832]) ).
fof(f3832,plain,
( ! [X0] :
( ~ v1_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl34_177
| ~ spl34_535 ),
inference(resolution,[],[f3722,f1348]) ).
fof(f3722,plain,
( ! [X0] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl34_535 ),
inference(avatar_component_clause,[],[f3721]) ).
fof(f5560,plain,
( spl34_720
| ~ spl34_177
| ~ spl34_534 ),
inference(avatar_split_clause,[],[f3831,f3717,f1347,f5558]) ).
fof(f5558,plain,
( spl34_720
<=> ! [X0] :
( ~ v1_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_720])]) ).
fof(f3717,plain,
( spl34_534
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ v1_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_534])]) ).
fof(f3831,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl34_177
| ~ spl34_534 ),
inference(duplicate_literal_removal,[],[f3828]) ).
fof(f3828,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl34_177
| ~ spl34_534 ),
inference(resolution,[],[f3718,f1348]) ).
fof(f3718,plain,
( ! [X0] :
( v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ v1_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl34_534 ),
inference(avatar_component_clause,[],[f3717]) ).
fof(f5556,plain,
( spl34_719
| ~ spl34_150
| ~ spl34_278
| ~ spl34_303
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3790,f3664,f2138,f2011,f1211,f5554]) ).
fof(f5554,plain,
( spl34_719
<=> ! [X0,X1] : sK18(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK18(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_719])]) ).
fof(f5552,plain,
( spl34_718
| ~ spl34_148
| ~ spl34_277
| ~ spl34_302
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3788,f3664,f2134,f2007,f1202,f5550]) ).
fof(f5550,plain,
( spl34_718
<=> ! [X0,X1] : sK17(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK17(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_718])]) ).
fof(f5548,plain,
( spl34_717
| ~ spl34_154
| ~ spl34_262
| ~ spl34_379
| ~ spl34_417
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3786,f3664,f2973,f2730,f1916,f1240,f5546]) ).
fof(f5546,plain,
( spl34_717
<=> ! [X0,X1] : sK16(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK16(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_717])]) ).
fof(f5544,plain,
( spl34_716
| ~ spl34_146
| ~ spl34_154
| ~ spl34_301
| ~ spl34_378
| ~ spl34_525 ),
inference(avatar_split_clause,[],[f3784,f3664,f2726,f2130,f1240,f1194,f5542]) ).
fof(f5542,plain,
( spl34_716
<=> ! [X0,X1] : sK15(X1,X0) = k6_relset_1(X0,X1,k4_relat_1(sK15(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_716])]) ).
fof(f5540,plain,
( spl34_715
| ~ spl34_10
| ~ spl34_470
| ~ spl34_520 ),
inference(avatar_split_clause,[],[f3763,f3642,f3284,f577,f5537]) ).
fof(f3763,plain,
( u3_conlat_1(sK24) = k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),k4_relat_1(u3_conlat_1(sK24)))
| ~ spl34_10
| ~ spl34_470
| ~ spl34_520 ),
inference(forward_demodulation,[],[f3759,f3360]) ).
fof(f3360,plain,
( k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24)) = k4_relat_1(u3_conlat_1(sK24))
| ~ spl34_10
| ~ spl34_470 ),
inference(resolution,[],[f3285,f579]) ).
fof(f3759,plain,
( u3_conlat_1(sK24) = k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),k6_relset_1(u1_conlat_1(sK24),u2_conlat_1(sK24),u3_conlat_1(sK24)))
| ~ spl34_10
| ~ spl34_520 ),
inference(resolution,[],[f3643,f579]) ).
fof(f5535,plain,
( spl34_714
| ~ spl34_18
| ~ spl34_208
| ~ spl34_470
| ~ spl34_523 ),
inference(avatar_split_clause,[],[f3734,f3655,f3284,f1548,f617,f5532]) ).
fof(f3734,plain,
( u3_conlat_1(sK29) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),k4_relat_1(u3_conlat_1(sK29)))
| ~ spl34_18
| ~ spl34_208
| ~ spl34_470
| ~ spl34_523 ),
inference(forward_demodulation,[],[f3731,f3362]) ).
fof(f3731,plain,
( u3_conlat_1(sK29) = k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),k6_relset_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)))
| ~ spl34_208
| ~ spl34_523 ),
inference(resolution,[],[f3656,f1549]) ).
fof(f5530,plain,
( spl34_713
| ~ spl34_15
| ~ spl34_208
| ~ spl34_470
| ~ spl34_521 ),
inference(avatar_split_clause,[],[f3691,f3646,f3284,f1548,f602,f5527]) ).
fof(f3691,plain,
( u3_conlat_1(sK28) = k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),k4_relat_1(u3_conlat_1(sK28)))
| ~ spl34_15
| ~ spl34_208
| ~ spl34_470
| ~ spl34_521 ),
inference(forward_demodulation,[],[f3688,f3361]) ).
fof(f3688,plain,
( u3_conlat_1(sK28) = k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)))
| ~ spl34_208
| ~ spl34_521 ),
inference(resolution,[],[f3647,f1549]) ).
fof(f5525,plain,
( spl34_712
| ~ spl34_18
| ~ spl34_470 ),
inference(avatar_split_clause,[],[f3362,f3284,f617,f5522]) ).
fof(f5520,plain,
( spl34_711
| ~ spl34_15
| ~ spl34_470 ),
inference(avatar_split_clause,[],[f3361,f3284,f602,f5517]) ).
fof(f5515,plain,
( spl34_710
| ~ spl34_10
| ~ spl34_470 ),
inference(avatar_split_clause,[],[f3360,f3284,f577,f5512]) ).
fof(f5510,plain,
( spl34_709
| ~ spl34_400
| ~ spl34_417 ),
inference(avatar_split_clause,[],[f3155,f2973,f2856,f5508]) ).
fof(f3155,plain,
( ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK16(X0,X1)))
| ~ m1_relset_1(sK16(X0,X1),X0,X1) )
| ~ spl34_400
| ~ spl34_417 ),
inference(superposition,[],[f2857,f2974]) ).
fof(f5506,plain,
( spl34_708
| ~ spl34_303
| ~ spl34_400 ),
inference(avatar_split_clause,[],[f2882,f2856,f2138,f5504]) ).
fof(f2882,plain,
( ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK18(X0,X1)))
| ~ m1_relset_1(sK18(X0,X1),X0,X1) )
| ~ spl34_303
| ~ spl34_400 ),
inference(superposition,[],[f2857,f2139]) ).
fof(f5502,plain,
( spl34_707
| ~ spl34_302
| ~ spl34_400 ),
inference(avatar_split_clause,[],[f2881,f2856,f2134,f5500]) ).
fof(f2881,plain,
( ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK17(X0,X1)))
| ~ m1_relset_1(sK17(X0,X1),X0,X1) )
| ~ spl34_302
| ~ spl34_400 ),
inference(superposition,[],[f2857,f2135]) ).
fof(f5498,plain,
( spl34_706
| ~ spl34_301
| ~ spl34_400 ),
inference(avatar_split_clause,[],[f2880,f2856,f2130,f5496]) ).
fof(f2880,plain,
( ! [X0,X1] :
( v1_relat_1(k4_relat_1(sK15(X0,X1)))
| ~ m1_relset_1(sK15(X0,X1),X0,X1) )
| ~ spl34_301
| ~ spl34_400 ),
inference(superposition,[],[f2857,f2131]) ).
fof(f5494,plain,
( spl34_705
| ~ spl34_279
| ~ spl34_388 ),
inference(avatar_split_clause,[],[f2792,f2784,f2015,f5492]) ).
fof(f2792,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k4_relat_1(u3_conlat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(X0)))) )
| ~ spl34_279
| ~ spl34_388 ),
inference(resolution,[],[f2785,f2016]) ).
fof(f5490,plain,
( spl34_704
| ~ spl34_279
| ~ spl34_387 ),
inference(avatar_split_clause,[],[f2790,f2780,f2015,f5488]) ).
fof(f2790,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| k4_relat_1(u1_lattices(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u1_lattices(X0)))) )
| ~ spl34_279
| ~ spl34_387 ),
inference(resolution,[],[f2781,f2016]) ).
fof(f5486,plain,
( spl34_703
| ~ spl34_279
| ~ spl34_386 ),
inference(avatar_split_clause,[],[f2788,f2776,f2015,f5484]) ).
fof(f2788,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| k4_relat_1(u2_lattices(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(u2_lattices(X0)))) )
| ~ spl34_279
| ~ spl34_386 ),
inference(resolution,[],[f2777,f2016]) ).
fof(f5482,plain,
( spl34_702
| ~ spl34_279
| ~ spl34_380 ),
inference(avatar_split_clause,[],[f2750,f2734,f2015,f5480]) ).
fof(f5480,plain,
( spl34_702
<=> ! [X0,X1] : k4_relat_1(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_702])]) ).
fof(f2734,plain,
( spl34_380
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_380])]) ).
fof(f2750,plain,
( ! [X0,X1] : k4_relat_1(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1))))
| ~ spl34_279
| ~ spl34_380 ),
inference(resolution,[],[f2735,f2016]) ).
fof(f2735,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl34_380 ),
inference(avatar_component_clause,[],[f2734]) ).
fof(f5478,plain,
( spl34_392
| ~ spl34_381
| ~ spl34_701
| ~ spl34_155
| ~ spl34_642 ),
inference(avatar_split_clause,[],[f5046,f4883,f1244,f5475,f2744,f2815]) ).
fof(f5475,plain,
( spl34_701
<=> v1_xboole_0(u2_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_701])]) ).
fof(f1244,plain,
( spl34_155
<=> ! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_155])]) ).
fof(f5046,plain,
( ~ v1_xboole_0(u2_conlat_1(sK6))
| ~ l1_conlat_1(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_155
| ~ spl34_642 ),
inference(superposition,[],[f1245,f4885]) ).
fof(f1245,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_155 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f5473,plain,
( spl34_700
| ~ spl34_279
| ~ spl34_379 ),
inference(avatar_split_clause,[],[f2748,f2730,f2015,f5471]) ).
fof(f5471,plain,
( spl34_700
<=> ! [X0,X1] : k4_relat_1(sK16(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(sK16(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_700])]) ).
fof(f2748,plain,
( ! [X0,X1] : k4_relat_1(sK16(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(sK16(X0,X1))))
| ~ spl34_279
| ~ spl34_379 ),
inference(resolution,[],[f2731,f2016]) ).
fof(f5469,plain,
( spl34_699
| ~ spl34_279
| ~ spl34_378 ),
inference(avatar_split_clause,[],[f2741,f2726,f2015,f5467]) ).
fof(f5467,plain,
( spl34_699
<=> ! [X0,X1] : k4_relat_1(sK15(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(sK15(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_699])]) ).
fof(f2741,plain,
( ! [X0,X1] : k4_relat_1(sK15(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(sK15(X0,X1))))
| ~ spl34_279
| ~ spl34_378 ),
inference(resolution,[],[f2727,f2016]) ).
fof(f5407,plain,
( spl34_698
| ~ spl34_180
| ~ spl34_625 ),
inference(avatar_split_clause,[],[f4723,f4447,f1359,f5404]) ).
fof(f4723,plain,
( m2_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_180
| ~ spl34_625 ),
inference(resolution,[],[f4448,f1360]) ).
fof(f5402,plain,
( spl34_697
| ~ spl34_180
| ~ spl34_622 ),
inference(avatar_split_clause,[],[f4695,f4435,f1359,f5399]) ).
fof(f4695,plain,
( m2_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ spl34_180
| ~ spl34_622 ),
inference(resolution,[],[f4436,f1360]) ).
fof(f5397,plain,
( spl34_696
| ~ spl34_180
| ~ spl34_618 ),
inference(avatar_split_clause,[],[f4662,f4413,f1359,f5394]) ).
fof(f4662,plain,
( m2_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_180
| ~ spl34_618 ),
inference(resolution,[],[f4414,f1360]) ).
fof(f5392,plain,
( spl34_695
| ~ spl34_180
| ~ spl34_615 ),
inference(avatar_split_clause,[],[f4618,f4401,f1359,f5389]) ).
fof(f4618,plain,
( m2_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ spl34_180
| ~ spl34_615 ),
inference(resolution,[],[f4402,f1360]) ).
fof(f5387,plain,
( spl34_694
| ~ spl34_180
| ~ spl34_611 ),
inference(avatar_split_clause,[],[f4570,f4378,f1359,f5384]) ).
fof(f4570,plain,
( m2_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_180
| ~ spl34_611 ),
inference(resolution,[],[f4379,f1360]) ).
fof(f5382,plain,
( spl34_693
| ~ spl34_180
| ~ spl34_608 ),
inference(avatar_split_clause,[],[f4541,f4366,f1359,f5379]) ).
fof(f4541,plain,
( m2_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ spl34_180
| ~ spl34_608 ),
inference(resolution,[],[f4367,f1360]) ).
fof(f5377,plain,
( spl34_692
| ~ spl34_180
| ~ spl34_604 ),
inference(avatar_split_clause,[],[f4494,f4343,f1359,f5374]) ).
fof(f4494,plain,
( m2_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_180
| ~ spl34_604 ),
inference(resolution,[],[f4344,f1360]) ).
fof(f5372,plain,
( spl34_691
| ~ spl34_180
| ~ spl34_601 ),
inference(avatar_split_clause,[],[f4462,f4331,f1359,f5369]) ).
fof(f4462,plain,
( m2_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ spl34_180
| ~ spl34_601 ),
inference(resolution,[],[f4332,f1360]) ).
fof(f5367,plain,
( spl34_690
| ~ spl34_374
| ~ spl34_675 ),
inference(avatar_split_clause,[],[f5319,f5245,f2696,f5364]) ).
fof(f5319,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k4_relat_1(k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_374
| ~ spl34_675 ),
inference(resolution,[],[f5246,f2698]) ).
fof(f5362,plain,
( spl34_689
| ~ spl34_74
| ~ spl34_455 ),
inference(avatar_split_clause,[],[f3178,f3152,f888,f5360]) ).
fof(f3152,plain,
( spl34_455
<=> ! [X0] :
( sP4(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_455])]) ).
fof(f3178,plain,
( ! [X0] :
( sP4(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_74
| ~ spl34_455 ),
inference(resolution,[],[f3153,f889]) ).
fof(f3153,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP4(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_455 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f5358,plain,
( spl34_688
| ~ spl34_176
| ~ spl34_406 ),
inference(avatar_split_clause,[],[f2945,f2893,f1343,f5356]) ).
fof(f2945,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK7(X0))
| r2_hidden(sK12(sK7(X0)),X0) )
| ~ spl34_176
| ~ spl34_406 ),
inference(duplicate_literal_removal,[],[f2941]) ).
fof(f2941,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK7(X0))
| v1_xboole_0(X0)
| r2_hidden(sK12(sK7(X0)),X0) )
| ~ spl34_176
| ~ spl34_406 ),
inference(resolution,[],[f2894,f1344]) ).
fof(f5298,plain,
( spl34_686
| ~ spl34_687
| ~ spl34_338
| ~ spl34_524 ),
inference(avatar_split_clause,[],[f3736,f3659,f2450,f5295,f5291]) ).
fof(f5291,plain,
( spl34_686
<=> u2_conlat_1(sK28) = u1_conlat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_686])]) ).
fof(f5295,plain,
( spl34_687
<=> sK29 = k7_conlat_2(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_687])]) ).
fof(f3736,plain,
( sK29 != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = u1_conlat_1(sK29)
| ~ spl34_338
| ~ spl34_524 ),
inference(superposition,[],[f3660,f2452]) ).
fof(f5289,plain,
( spl34_392
| ~ spl34_381
| ~ spl34_685
| ~ spl34_156
| ~ spl34_640 ),
inference(avatar_split_clause,[],[f4918,f4834,f1248,f5286,f2744,f2815]) ).
fof(f5286,plain,
( spl34_685
<=> v1_xboole_0(u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_685])]) ).
fof(f1248,plain,
( spl34_156
<=> ! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_156])]) ).
fof(f4918,plain,
( ~ v1_xboole_0(u1_conlat_1(sK6))
| ~ l1_conlat_1(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_156
| ~ spl34_640 ),
inference(superposition,[],[f1249,f4836]) ).
fof(f1249,plain,
( ! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_156 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f5284,plain,
( spl34_683
| ~ spl34_684
| ~ spl34_338
| ~ spl34_522 ),
inference(avatar_split_clause,[],[f3693,f3650,f2450,f5281,f5277]) ).
fof(f5281,plain,
( spl34_684
<=> sK28 = k7_conlat_2(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_684])]) ).
fof(f3693,plain,
( sK28 != k7_conlat_2(sK28)
| u1_conlat_1(sK28) = u2_conlat_1(sK28)
| ~ spl34_338
| ~ spl34_522 ),
inference(superposition,[],[f3651,f2452]) ).
fof(f5275,plain,
( spl34_682
| ~ spl34_162
| ~ spl34_462 ),
inference(avatar_split_clause,[],[f3259,f3205,f1272,f5273]) ).
fof(f3205,plain,
( spl34_462
<=> ! [X0] :
( sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_462])]) ).
fof(f3259,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_462 ),
inference(duplicate_literal_removal,[],[f3254]) ).
fof(f3254,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_462 ),
inference(resolution,[],[f3206,f1273]) ).
fof(f3206,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_462 ),
inference(avatar_component_clause,[],[f3205]) ).
fof(f5271,plain,
( spl34_681
| ~ spl34_162
| ~ spl34_461 ),
inference(avatar_split_clause,[],[f3253,f3201,f1272,f5269]) ).
fof(f5269,plain,
( spl34_681
<=> ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_681])]) ).
fof(f3201,plain,
( spl34_461
<=> ! [X0] :
( sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_461])]) ).
fof(f3253,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_461 ),
inference(duplicate_literal_removal,[],[f3248]) ).
fof(f3248,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_461 ),
inference(resolution,[],[f3202,f1273]) ).
fof(f3202,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_461 ),
inference(avatar_component_clause,[],[f3201]) ).
fof(f5267,plain,
( spl34_680
| ~ spl34_162
| ~ spl34_460 ),
inference(avatar_split_clause,[],[f3247,f3197,f1272,f5265]) ).
fof(f5265,plain,
( spl34_680
<=> ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_680])]) ).
fof(f3197,plain,
( spl34_460
<=> ! [X0] :
( sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_460])]) ).
fof(f3247,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_460 ),
inference(duplicate_literal_removal,[],[f3242]) ).
fof(f3242,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_460 ),
inference(resolution,[],[f3198,f1273]) ).
fof(f3198,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_460 ),
inference(avatar_component_clause,[],[f3197]) ).
fof(f5263,plain,
( spl34_679
| ~ spl34_162
| ~ spl34_459 ),
inference(avatar_split_clause,[],[f3241,f3193,f1272,f5261]) ).
fof(f5261,plain,
( spl34_679
<=> ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_679])]) ).
fof(f3193,plain,
( spl34_459
<=> ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_459])]) ).
fof(f3241,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_459 ),
inference(duplicate_literal_removal,[],[f3236]) ).
fof(f3236,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_459 ),
inference(resolution,[],[f3194,f1273]) ).
fof(f3194,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_459 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f5259,plain,
( spl34_678
| ~ spl34_162
| ~ spl34_458 ),
inference(avatar_split_clause,[],[f3231,f3189,f1272,f5257]) ).
fof(f5257,plain,
( spl34_678
<=> ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_678])]) ).
fof(f3189,plain,
( spl34_458
<=> ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_458])]) ).
fof(f3231,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_458 ),
inference(duplicate_literal_removal,[],[f3226]) ).
fof(f3226,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_458 ),
inference(resolution,[],[f3190,f1273]) ).
fof(f3190,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_458 ),
inference(avatar_component_clause,[],[f3189]) ).
fof(f5255,plain,
( spl34_677
| ~ spl34_162
| ~ spl34_456 ),
inference(avatar_split_clause,[],[f3225,f3180,f1272,f5253]) ).
fof(f5253,plain,
( spl34_677
<=> ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_677])]) ).
fof(f3180,plain,
( spl34_456
<=> ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_456])]) ).
fof(f3225,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_456 ),
inference(duplicate_literal_removal,[],[f3220]) ).
fof(f3220,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_162
| ~ spl34_456 ),
inference(resolution,[],[f3181,f1273]) ).
fof(f3181,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_456 ),
inference(avatar_component_clause,[],[f3180]) ).
fof(f5251,plain,
( spl34_676
| ~ spl34_169
| ~ spl34_394 ),
inference(avatar_split_clause,[],[f2828,f2824,f1300,f5249]) ).
fof(f2828,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK12(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl34_169
| ~ spl34_394 ),
inference(resolution,[],[f2825,f1301]) ).
fof(f5247,plain,
( spl34_675
| ~ spl34_154
| ~ spl34_388 ),
inference(avatar_split_clause,[],[f2793,f2784,f1240,f5245]) ).
fof(f2793,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| u3_conlat_1(X0) = k4_relat_1(k4_relat_1(u3_conlat_1(X0))) )
| ~ spl34_154
| ~ spl34_388 ),
inference(resolution,[],[f2785,f1241]) ).
fof(f5239,plain,
( ~ spl34_187
| ~ spl34_386
| spl34_662 ),
inference(avatar_split_clause,[],[f5111,f5107,f2776,f1419]) ).
fof(f5111,plain,
( ~ l2_lattices(sK32)
| ~ spl34_386
| spl34_662 ),
inference(resolution,[],[f5108,f2777]) ).
fof(f5108,plain,
( ~ v1_relat_1(u2_lattices(sK32))
| spl34_662 ),
inference(avatar_component_clause,[],[f5107]) ).
fof(f5238,plain,
( spl34_674
| ~ spl34_154
| ~ spl34_387 ),
inference(avatar_split_clause,[],[f2791,f2780,f1240,f5236]) ).
fof(f2791,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) )
| ~ spl34_154
| ~ spl34_387 ),
inference(resolution,[],[f2781,f1241]) ).
fof(f5234,plain,
( spl34_673
| ~ spl34_154
| ~ spl34_386 ),
inference(avatar_split_clause,[],[f2789,f2776,f1240,f5232]) ).
fof(f2789,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) )
| ~ spl34_154
| ~ spl34_386 ),
inference(resolution,[],[f2777,f1241]) ).
fof(f5230,plain,
( spl34_672
| ~ spl34_154
| ~ spl34_380 ),
inference(avatar_split_clause,[],[f2751,f2734,f1240,f5228]) ).
fof(f5228,plain,
( spl34_672
<=> ! [X0,X1] : k2_zfmisc_1(X0,X1) = k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_672])]) ).
fof(f2751,plain,
( ! [X0,X1] : k2_zfmisc_1(X0,X1) = k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1)))
| ~ spl34_154
| ~ spl34_380 ),
inference(resolution,[],[f2735,f1241]) ).
fof(f5226,plain,
( spl34_671
| ~ spl34_154
| ~ spl34_379 ),
inference(avatar_split_clause,[],[f2749,f2730,f1240,f5224]) ).
fof(f5224,plain,
( spl34_671
<=> ! [X0,X1] : sK16(X0,X1) = k4_relat_1(k4_relat_1(sK16(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_671])]) ).
fof(f5222,plain,
( spl34_670
| ~ spl34_154
| ~ spl34_378 ),
inference(avatar_split_clause,[],[f2742,f2726,f1240,f5220]) ).
fof(f5220,plain,
( spl34_670
<=> ! [X0,X1] : sK15(X0,X1) = k4_relat_1(k4_relat_1(sK15(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_670])]) ).
fof(f5206,plain,
( ~ spl34_149
| ~ spl34_386
| spl34_660 ),
inference(avatar_split_clause,[],[f5095,f5091,f2776,f1206]) ).
fof(f5095,plain,
( ~ l2_lattices(sK31)
| ~ spl34_386
| spl34_660 ),
inference(resolution,[],[f5092,f2777]) ).
fof(f5092,plain,
( ~ v1_relat_1(u2_lattices(sK31))
| spl34_660 ),
inference(avatar_component_clause,[],[f5091]) ).
fof(f5205,plain,
( spl34_669
| ~ spl34_260
| ~ spl34_404 ),
inference(avatar_split_clause,[],[f2887,f2872,f1908,f5203]) ).
fof(f2872,plain,
( spl34_404
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_404])]) ).
fof(f2887,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK18(X0,X1)) )
| ~ spl34_260
| ~ spl34_404 ),
inference(resolution,[],[f2873,f1909]) ).
fof(f2873,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK18(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_404 ),
inference(avatar_component_clause,[],[f2872]) ).
fof(f5201,plain,
( spl34_668
| ~ spl34_260
| ~ spl34_403 ),
inference(avatar_split_clause,[],[f2886,f2868,f1908,f5199]) ).
fof(f2868,plain,
( spl34_403
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_403])]) ).
fof(f2886,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK17(X0,X1)) )
| ~ spl34_260
| ~ spl34_403 ),
inference(resolution,[],[f2869,f1909]) ).
fof(f2869,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK17(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_403 ),
inference(avatar_component_clause,[],[f2868]) ).
fof(f5197,plain,
( spl34_667
| ~ spl34_260
| ~ spl34_402 ),
inference(avatar_split_clause,[],[f2885,f2864,f1908,f5195]) ).
fof(f2864,plain,
( spl34_402
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK16(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_402])]) ).
fof(f2885,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK16(X0,X1)) )
| ~ spl34_260
| ~ spl34_402 ),
inference(resolution,[],[f2865,f1909]) ).
fof(f2865,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK16(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_402 ),
inference(avatar_component_clause,[],[f2864]) ).
fof(f5193,plain,
( spl34_666
| ~ spl34_260
| ~ spl34_401 ),
inference(avatar_split_clause,[],[f2883,f2860,f1908,f5191]) ).
fof(f2860,plain,
( spl34_401
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK15(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_401])]) ).
fof(f2883,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK15(X0,X1)) )
| ~ spl34_260
| ~ spl34_401 ),
inference(resolution,[],[f2861,f1909]) ).
fof(f2861,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK15(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_401 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f5162,plain,
( spl34_392
| spl34_665
| ~ spl34_374
| ~ spl34_563 ),
inference(avatar_split_clause,[],[f4046,f4031,f2696,f5159,f2815]) ).
fof(f4046,plain,
( k7_conlat_2(k7_conlat_2(k7_conlat_2(sK6))) = g2_conlat_1(u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),k6_relset_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6)))))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_374
| ~ spl34_563 ),
inference(resolution,[],[f4032,f2698]) ).
fof(f5145,plain,
( ~ spl34_137
| ~ spl34_387
| spl34_658 ),
inference(avatar_split_clause,[],[f5084,f5080,f2780,f1154]) ).
fof(f5084,plain,
( ~ l1_lattices(sK32)
| ~ spl34_387
| spl34_658 ),
inference(resolution,[],[f5081,f2781]) ).
fof(f5081,plain,
( ~ v1_relat_1(u1_lattices(sK32))
| spl34_658 ),
inference(avatar_component_clause,[],[f5080]) ).
fof(f5122,plain,
( spl34_664
| ~ spl34_180
| ~ spl34_523 ),
inference(avatar_split_clause,[],[f3733,f3655,f1359,f5119]) ).
fof(f3733,plain,
( m2_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| ~ spl34_180
| ~ spl34_523 ),
inference(resolution,[],[f3656,f1360]) ).
fof(f5117,plain,
( spl34_663
| ~ spl34_180
| ~ spl34_521 ),
inference(avatar_split_clause,[],[f3690,f3646,f1359,f5114]) ).
fof(f3690,plain,
( m2_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28))
| ~ spl34_180
| ~ spl34_521 ),
inference(resolution,[],[f3647,f1360]) ).
fof(f5110,plain,
( ~ spl34_661
| spl34_662
| ~ spl34_72
| ~ spl34_442 ),
inference(avatar_split_clause,[],[f3092,f3088,f880,f5107,f5103]) ).
fof(f3092,plain,
( v1_relat_1(u2_lattices(sK32))
| ~ v1_relat_1(k4_relat_1(u2_lattices(sK32)))
| ~ spl34_72
| ~ spl34_442 ),
inference(superposition,[],[f881,f3090]) ).
fof(f5097,plain,
( ~ spl34_136
| ~ spl34_387
| spl34_656 ),
inference(avatar_split_clause,[],[f5073,f5069,f2780,f1149]) ).
fof(f5073,plain,
( ~ l1_lattices(sK31)
| ~ spl34_387
| spl34_656 ),
inference(resolution,[],[f5070,f2781]) ).
fof(f5070,plain,
( ~ v1_relat_1(u1_lattices(sK31))
| spl34_656 ),
inference(avatar_component_clause,[],[f5069]) ).
fof(f5094,plain,
( ~ spl34_659
| spl34_660
| ~ spl34_72
| ~ spl34_440 ),
inference(avatar_split_clause,[],[f3081,f3077,f880,f5091,f5087]) ).
fof(f3081,plain,
( v1_relat_1(u2_lattices(sK31))
| ~ v1_relat_1(k4_relat_1(u2_lattices(sK31)))
| ~ spl34_72
| ~ spl34_440 ),
inference(superposition,[],[f881,f3079]) ).
fof(f5083,plain,
( ~ spl34_657
| spl34_658
| ~ spl34_72
| ~ spl34_429 ),
inference(avatar_split_clause,[],[f3031,f3027,f880,f5080,f5076]) ).
fof(f3031,plain,
( v1_relat_1(u1_lattices(sK32))
| ~ v1_relat_1(k4_relat_1(u1_lattices(sK32)))
| ~ spl34_72
| ~ spl34_429 ),
inference(superposition,[],[f881,f3029]) ).
fof(f5072,plain,
( ~ spl34_655
| spl34_656
| ~ spl34_72
| ~ spl34_428 ),
inference(avatar_split_clause,[],[f3025,f3021,f880,f5069,f5065]) ).
fof(f3025,plain,
( v1_relat_1(u1_lattices(sK31))
| ~ v1_relat_1(k4_relat_1(u1_lattices(sK31)))
| ~ spl34_72
| ~ spl34_428 ),
inference(superposition,[],[f881,f3023]) ).
fof(f5063,plain,
( spl34_654
| ~ spl34_112
| ~ spl34_412 ),
inference(avatar_split_clause,[],[f2966,f2918,f1044,f5061]) ).
fof(f5061,plain,
( spl34_654
<=> ! [X0] :
( sP5(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_654])]) ).
fof(f2918,plain,
( spl34_412
<=> ! [X0] :
( sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_412])]) ).
fof(f2966,plain,
( ! [X0] :
( sP5(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_112
| ~ spl34_412 ),
inference(duplicate_literal_removal,[],[f2965]) ).
fof(f2965,plain,
( ! [X0] :
( sP5(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0)
| ~ sP4(X0) )
| ~ spl34_112
| ~ spl34_412 ),
inference(resolution,[],[f2919,f1045]) ).
fof(f2919,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_412 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f5044,plain,
( spl34_653
| ~ spl34_123
| ~ spl34_411 ),
inference(avatar_split_clause,[],[f2961,f2913,f1089,f5042]) ).
fof(f5042,plain,
( spl34_653
<=> ! [X0] :
( sP5(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_653])]) ).
fof(f2913,plain,
( spl34_411
<=> ! [X0] :
( sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_411])]) ).
fof(f2961,plain,
( ! [X0] :
( sP5(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) )
| ~ spl34_123
| ~ spl34_411 ),
inference(duplicate_literal_removal,[],[f2959]) ).
fof(f2959,plain,
( ! [X0] :
( sP5(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0)
| ~ sP5(X0) )
| ~ spl34_123
| ~ spl34_411 ),
inference(resolution,[],[f2914,f1090]) ).
fof(f2914,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) )
| ~ spl34_411 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f5040,plain,
( spl34_652
| ~ spl34_112
| ~ spl34_410 ),
inference(avatar_split_clause,[],[f2956,f2909,f1044,f5038]) ).
fof(f5038,plain,
( spl34_652
<=> ! [X0] :
( sP0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_652])]) ).
fof(f2909,plain,
( spl34_410
<=> ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_410])]) ).
fof(f2956,plain,
( ! [X0] :
( sP0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_112
| ~ spl34_410 ),
inference(duplicate_literal_removal,[],[f2955]) ).
fof(f2955,plain,
( ! [X0] :
( sP0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0)
| ~ sP4(X0) )
| ~ spl34_112
| ~ spl34_410 ),
inference(resolution,[],[f2910,f1045]) ).
fof(f2910,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_410 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f5036,plain,
( spl34_651
| ~ spl34_123
| ~ spl34_409 ),
inference(avatar_split_clause,[],[f2951,f2905,f1089,f5034]) ).
fof(f5034,plain,
( spl34_651
<=> ! [X0] :
( sP0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_651])]) ).
fof(f2905,plain,
( spl34_409
<=> ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_409])]) ).
fof(f2951,plain,
( ! [X0] :
( sP0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) )
| ~ spl34_123
| ~ spl34_409 ),
inference(duplicate_literal_removal,[],[f2949]) ).
fof(f2949,plain,
( ! [X0] :
( sP0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0)
| ~ sP5(X0) )
| ~ spl34_123
| ~ spl34_409 ),
inference(resolution,[],[f2906,f1090]) ).
fof(f2906,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) )
| ~ spl34_409 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f5032,plain,
( spl34_650
| ~ spl34_251
| ~ spl34_394 ),
inference(avatar_split_clause,[],[f2827,f2824,f1822,f5030]) ).
fof(f2827,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK26 = sK12(k1_zfmisc_1(X0)) )
| ~ spl34_251
| ~ spl34_394 ),
inference(resolution,[],[f2825,f1823]) ).
fof(f5025,plain,
( spl34_392
| spl34_649
| ~ spl34_225
| ~ spl34_374 ),
inference(avatar_split_clause,[],[f2700,f2696,f1662,f5022,f2815]) ).
fof(f5022,plain,
( spl34_649
<=> k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_649])]) ).
fof(f2700,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6))))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_225
| ~ spl34_374 ),
inference(resolution,[],[f2698,f1663]) ).
fof(f5002,plain,
( spl34_392
| spl34_648
| ~ spl34_374
| ~ spl34_533 ),
inference(avatar_split_clause,[],[f3822,f3713,f2696,f4999,f2815]) ).
fof(f3822,plain,
( k11_conlat_1(k7_conlat_2(sK6)) = g3_lattices(u1_struct_0(k11_conlat_1(k7_conlat_2(sK6))),u2_lattices(k11_conlat_1(k7_conlat_2(sK6))),u1_lattices(k11_conlat_1(k7_conlat_2(sK6))))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_374
| ~ spl34_533 ),
inference(resolution,[],[f3714,f2698]) ).
fof(f4963,plain,
( spl34_392
| spl34_647
| ~ spl34_374
| ~ spl34_530 ),
inference(avatar_split_clause,[],[f3815,f3684,f2696,f4960,f2815]) ).
fof(f3815,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u2_conlat_1(k7_conlat_2(k7_conlat_2(sK6))),u3_conlat_1(k7_conlat_2(k7_conlat_2(sK6))))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_374
| ~ spl34_530 ),
inference(resolution,[],[f3685,f2698]) ).
fof(f4916,plain,
( spl34_646
| ~ spl34_640
| ~ spl34_642
| ~ spl34_645 ),
inference(avatar_split_clause,[],[f4911,f4906,f4883,f4834,f4913]) ).
fof(f4906,plain,
( spl34_645
<=> k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_645])]) ).
fof(f4911,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u1_conlat_1(sK6),u2_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_640
| ~ spl34_642
| ~ spl34_645 ),
inference(forward_demodulation,[],[f4910,f4836]) ).
fof(f4910,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_642
| ~ spl34_645 ),
inference(forward_demodulation,[],[f4908,f4885]) ).
fof(f4908,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_645 ),
inference(avatar_component_clause,[],[f4906]) ).
fof(f4909,plain,
( spl34_1
| spl34_645
| ~ spl34_2
| ~ spl34_374
| ~ spl34_470
| ~ spl34_563 ),
inference(avatar_split_clause,[],[f4052,f4031,f3284,f2696,f537,f4906,f532]) ).
fof(f4052,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_374
| ~ spl34_470
| ~ spl34_563 ),
inference(forward_demodulation,[],[f4048,f3357]) ).
fof(f3357,plain,
( k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6))) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_374
| ~ spl34_470 ),
inference(resolution,[],[f3285,f2698]) ).
fof(f4048,plain,
( k7_conlat_2(k7_conlat_2(sK6)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(k7_conlat_2(sK6)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6))))
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_563 ),
inference(resolution,[],[f4032,f539]) ).
fof(f4899,plain,
( spl34_644
| ~ spl34_573
| ~ spl34_643 ),
inference(avatar_split_clause,[],[f4894,f4890,f4129,f4896]) ).
fof(f4890,plain,
( spl34_643
<=> k4_relat_1(u3_conlat_1(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_643])]) ).
fof(f4894,plain,
( k4_relat_1(u3_conlat_1(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(sK6))
| ~ spl34_573
| ~ spl34_643 ),
inference(forward_demodulation,[],[f4892,f4131]) ).
fof(f4892,plain,
( k4_relat_1(u3_conlat_1(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6))))
| ~ spl34_643 ),
inference(avatar_component_clause,[],[f4890]) ).
fof(f4893,plain,
( spl34_643
| ~ spl34_198
| ~ spl34_208
| ~ spl34_307
| ~ spl34_326 ),
inference(avatar_split_clause,[],[f2691,f2367,f2165,f1548,f1502,f4890]) ).
fof(f1502,plain,
( spl34_198
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_198])]) ).
fof(f2691,plain,
( k4_relat_1(u3_conlat_1(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6))))
| ~ spl34_198
| ~ spl34_208
| ~ spl34_307
| ~ spl34_326 ),
inference(forward_demodulation,[],[f2688,f2491]) ).
fof(f2491,plain,
( k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = k4_relat_1(u3_conlat_1(sK6))
| ~ spl34_198
| ~ spl34_326 ),
inference(resolution,[],[f2368,f1503]) ).
fof(f1503,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) )
| ~ spl34_198 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f2688,plain,
( k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))))
| ~ spl34_208
| ~ spl34_307 ),
inference(resolution,[],[f2166,f1549]) ).
fof(f4888,plain,
( ~ spl34_15
| spl34_16
| ~ spl34_397
| spl34_540 ),
inference(avatar_split_clause,[],[f3849,f3841,f2843,f607,f602]) ).
fof(f2843,plain,
( spl34_397
<=> ! [X0] :
( v3_conlat_1(X0)
| sP3(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_397])]) ).
fof(f3841,plain,
( spl34_540
<=> sP3(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_540])]) ).
fof(f3849,plain,
( v3_conlat_1(sK28)
| ~ l2_conlat_1(sK28)
| ~ spl34_397
| spl34_540 ),
inference(resolution,[],[f3842,f2844]) ).
fof(f2844,plain,
( ! [X0] :
( sP3(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_397 ),
inference(avatar_component_clause,[],[f2843]) ).
fof(f3842,plain,
( ~ sP3(k7_conlat_2(sK28))
| spl34_540 ),
inference(avatar_component_clause,[],[f3841]) ).
fof(f4887,plain,
( ~ spl34_15
| spl34_16
| ~ spl34_398
| spl34_544 ),
inference(avatar_split_clause,[],[f3864,f3860,f2847,f607,f602]) ).
fof(f2847,plain,
( spl34_398
<=> ! [X0] :
( v3_conlat_1(X0)
| sP2(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_398])]) ).
fof(f3860,plain,
( spl34_544
<=> sP2(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_544])]) ).
fof(f3864,plain,
( v3_conlat_1(sK28)
| ~ l2_conlat_1(sK28)
| ~ spl34_398
| spl34_544 ),
inference(resolution,[],[f3861,f2848]) ).
fof(f2848,plain,
( ! [X0] :
( sP2(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_398 ),
inference(avatar_component_clause,[],[f2847]) ).
fof(f3861,plain,
( ~ sP2(k7_conlat_2(sK28))
| spl34_544 ),
inference(avatar_component_clause,[],[f3860]) ).
fof(f4886,plain,
( spl34_642
| ~ spl34_389
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4802,f4770,f2795,f4883]) ).
fof(f4802,plain,
( u2_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(sK6))
| ~ spl34_389
| ~ spl34_635 ),
inference(trivial_inequality_removal,[],[f4788]) ).
fof(f4788,plain,
( k7_conlat_2(sK6) != k7_conlat_2(sK6)
| u2_conlat_1(sK6) = u1_conlat_1(k7_conlat_2(sK6))
| ~ spl34_389
| ~ spl34_635 ),
inference(superposition,[],[f2796,f4772]) ).
fof(f4881,plain,
( spl34_511
| ~ spl34_53
| ~ spl34_508 ),
inference(avatar_split_clause,[],[f4870,f3539,f787,f3553]) ).
fof(f3553,plain,
( spl34_511
<=> l1_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_511])]) ).
fof(f4870,plain,
( l1_conlat_1(k7_conlat_2(sK28))
| ~ spl34_53
| ~ spl34_508 ),
inference(resolution,[],[f3541,f788]) ).
fof(f4869,plain,
( spl34_16
| ~ spl34_15
| ~ spl34_161
| spl34_508 ),
inference(avatar_split_clause,[],[f3543,f3539,f1268,f602,f607]) ).
fof(f3543,plain,
( ~ l2_conlat_1(sK28)
| v3_conlat_1(sK28)
| ~ spl34_161
| spl34_508 ),
inference(resolution,[],[f3540,f1269]) ).
fof(f3540,plain,
( ~ l2_conlat_1(k7_conlat_2(sK28))
| spl34_508 ),
inference(avatar_component_clause,[],[f3539]) ).
fof(f4868,plain,
( ~ spl34_15
| spl34_16
| ~ spl34_399
| spl34_545 ),
inference(avatar_split_clause,[],[f3870,f3866,f2851,f607,f602]) ).
fof(f2851,plain,
( spl34_399
<=> ! [X0] :
( v3_conlat_1(X0)
| sP1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_399])]) ).
fof(f3866,plain,
( spl34_545
<=> sP1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_545])]) ).
fof(f3870,plain,
( v3_conlat_1(sK28)
| ~ l2_conlat_1(sK28)
| ~ spl34_399
| spl34_545 ),
inference(resolution,[],[f3867,f2852]) ).
fof(f2852,plain,
( ! [X0] :
( sP1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_399 ),
inference(avatar_component_clause,[],[f2851]) ).
fof(f3867,plain,
( ~ sP1(k7_conlat_2(sK28))
| spl34_545 ),
inference(avatar_component_clause,[],[f3866]) ).
fof(f4866,plain,
( spl34_16
| ~ spl34_15
| ~ spl34_160
| spl34_506 ),
inference(avatar_split_clause,[],[f3532,f3527,f1264,f602,f607]) ).
fof(f1264,plain,
( spl34_160
<=> ! [X0] :
( v4_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_160])]) ).
fof(f3527,plain,
( spl34_506
<=> v4_conlat_1(k7_conlat_2(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_506])]) ).
fof(f3532,plain,
( ~ l2_conlat_1(sK28)
| v3_conlat_1(sK28)
| ~ spl34_160
| spl34_506 ),
inference(resolution,[],[f3528,f1265]) ).
fof(f1265,plain,
( ! [X0] :
( v4_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_160 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f3528,plain,
( ~ v4_conlat_1(k7_conlat_2(sK28))
| spl34_506 ),
inference(avatar_component_clause,[],[f3527]) ).
fof(f4847,plain,
( spl34_1
| spl34_641
| ~ spl34_2
| ~ spl34_533 ),
inference(avatar_split_clause,[],[f3824,f3713,f537,f4844,f532]) ).
fof(f3824,plain,
( k11_conlat_1(sK6) = g3_lattices(u1_struct_0(k11_conlat_1(sK6)),u2_lattices(k11_conlat_1(sK6)),u1_lattices(k11_conlat_1(sK6)))
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_533 ),
inference(resolution,[],[f3714,f539]) ).
fof(f4837,plain,
( spl34_640
| ~ spl34_390
| ~ spl34_635 ),
inference(avatar_split_clause,[],[f4801,f4770,f2803,f4834]) ).
fof(f2803,plain,
( spl34_390
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(sK6) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_390])]) ).
fof(f4801,plain,
( u1_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(sK6))
| ~ spl34_390
| ~ spl34_635 ),
inference(trivial_inequality_removal,[],[f4789]) ).
fof(f4789,plain,
( k7_conlat_2(sK6) != k7_conlat_2(sK6)
| u1_conlat_1(sK6) = u2_conlat_1(k7_conlat_2(sK6))
| ~ spl34_390
| ~ spl34_635 ),
inference(superposition,[],[f2804,f4772]) ).
fof(f2804,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(sK6) = X1 )
| ~ spl34_390 ),
inference(avatar_component_clause,[],[f2803]) ).
fof(f4832,plain,
( spl34_639
| ~ spl34_389
| ~ spl34_390
| ~ spl34_635
| ~ spl34_638 ),
inference(avatar_split_clause,[],[f4827,f4822,f4770,f2803,f2795,f4829]) ).
fof(f4822,plain,
( spl34_638
<=> u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_638])]) ).
fof(f4827,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_389
| ~ spl34_390
| ~ spl34_635
| ~ spl34_638 ),
inference(forward_demodulation,[],[f4826,f4802]) ).
fof(f4826,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_390
| ~ spl34_635
| ~ spl34_638 ),
inference(forward_demodulation,[],[f4824,f4801]) ).
fof(f4824,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_638 ),
inference(avatar_component_clause,[],[f4822]) ).
fof(f4825,plain,
( spl34_638
| ~ spl34_374
| ~ spl34_470
| ~ spl34_520 ),
inference(avatar_split_clause,[],[f3762,f3642,f3284,f2696,f4822]) ).
fof(f3762,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_374
| ~ spl34_470
| ~ spl34_520 ),
inference(forward_demodulation,[],[f3756,f3357]) ).
fof(f3756,plain,
( u3_conlat_1(k7_conlat_2(sK6)) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6))))
| ~ spl34_374
| ~ spl34_520 ),
inference(resolution,[],[f3643,f2698]) ).
fof(f4815,plain,
( spl34_637
| ~ spl34_389
| ~ spl34_390
| ~ spl34_635
| ~ spl34_636 ),
inference(avatar_split_clause,[],[f4810,f4805,f4770,f2803,f2795,f4812]) ).
fof(f4805,plain,
( spl34_636
<=> k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6))) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_636])]) ).
fof(f4810,plain,
( k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_389
| ~ spl34_390
| ~ spl34_635
| ~ spl34_636 ),
inference(forward_demodulation,[],[f4809,f4802]) ).
fof(f4809,plain,
( k4_relat_1(u3_conlat_1(k7_conlat_2(sK6))) = k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u1_conlat_1(sK6),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_390
| ~ spl34_635
| ~ spl34_636 ),
inference(forward_demodulation,[],[f4807,f4801]) ).
fof(f4807,plain,
( k6_relset_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6))) = k4_relat_1(u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_636 ),
inference(avatar_component_clause,[],[f4805]) ).
fof(f4808,plain,
( spl34_636
| ~ spl34_374
| ~ spl34_470 ),
inference(avatar_split_clause,[],[f3357,f3284,f2696,f4805]) ).
fof(f4773,plain,
( spl34_635
| ~ spl34_248
| ~ spl34_307
| ~ spl34_564 ),
inference(avatar_split_clause,[],[f4072,f4035,f2165,f1801,f4770]) ).
fof(f4072,plain,
( k7_conlat_2(sK6) = g2_conlat_1(u1_conlat_1(k7_conlat_2(sK6)),u2_conlat_1(k7_conlat_2(sK6)),u3_conlat_1(k7_conlat_2(sK6)))
| ~ spl34_248
| ~ spl34_307
| ~ spl34_564 ),
inference(forward_demodulation,[],[f4066,f1803]) ).
fof(f4066,plain,
( g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))) = g2_conlat_1(u1_conlat_1(g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))),u2_conlat_1(g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))),u3_conlat_1(g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))))
| ~ spl34_307
| ~ spl34_564 ),
inference(resolution,[],[f4036,f2166]) ).
fof(f4764,plain,
( ~ spl34_620
| ~ spl34_621
| ~ spl34_622
| ~ spl34_623
| ~ spl34_624
| ~ spl34_625
| spl34_634
| ~ spl34_234
| ~ spl34_312 ),
inference(avatar_split_clause,[],[f2225,f2216,f1723,f4762,f4447,f4443,f4439,f4435,f4431,f4427]) ).
fof(f4762,plain,
( spl34_634
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_struct_0(sK33) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_634])]) ).
fof(f2216,plain,
( spl34_312
<=> sK33 = g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_312])]) ).
fof(f2225,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_struct_0(sK33) = X0
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u2_lattices(sK33)) )
| ~ spl34_234
| ~ spl34_312 ),
inference(superposition,[],[f1724,f2218]) ).
fof(f2218,plain,
( sK33 = g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33))
| ~ spl34_312 ),
inference(avatar_component_clause,[],[f2216]) ).
fof(f4749,plain,
( ~ spl34_620
| ~ spl34_621
| ~ spl34_622
| ~ spl34_623
| ~ spl34_624
| ~ spl34_625
| spl34_633
| ~ spl34_235
| ~ spl34_312 ),
inference(avatar_split_clause,[],[f2223,f2216,f1727,f4747,f4447,f4443,f4439,f4435,f4431,f4427]) ).
fof(f4747,plain,
( spl34_633
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u2_lattices(sK33) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_633])]) ).
fof(f2223,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u2_lattices(sK33) = X1
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u2_lattices(sK33)) )
| ~ spl34_235
| ~ spl34_312 ),
inference(superposition,[],[f1728,f2218]) ).
fof(f4727,plain,
( ~ spl34_138
| ~ spl34_200
| spl34_624 ),
inference(avatar_split_clause,[],[f4468,f4443,f1514,f1159]) ).
fof(f4468,plain,
( ~ l1_lattices(sK33)
| ~ spl34_200
| spl34_624 ),
inference(resolution,[],[f4445,f1515]) ).
fof(f4445,plain,
( ~ v1_funct_2(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| spl34_624 ),
inference(avatar_component_clause,[],[f4443]) ).
fof(f4714,plain,
( ~ spl34_138
| ~ spl34_320
| spl34_625 ),
inference(avatar_split_clause,[],[f4469,f4447,f2292,f1159]) ).
fof(f4469,plain,
( ~ l1_lattices(sK33)
| ~ spl34_320
| spl34_625 ),
inference(resolution,[],[f4449,f2293]) ).
fof(f4449,plain,
( ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| spl34_625 ),
inference(avatar_component_clause,[],[f4447]) ).
fof(f4699,plain,
( ~ spl34_190
| ~ spl34_202
| spl34_621 ),
inference(avatar_split_clause,[],[f4466,f4431,f1522,f1446]) ).
fof(f4466,plain,
( ~ l2_lattices(sK33)
| ~ spl34_202
| spl34_621 ),
inference(resolution,[],[f4433,f1523]) ).
fof(f4433,plain,
( ~ v1_funct_2(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| spl34_621 ),
inference(avatar_component_clause,[],[f4431]) ).
fof(f4689,plain,
( ~ spl34_190
| ~ spl34_321
| spl34_622 ),
inference(avatar_split_clause,[],[f4467,f4435,f2296,f1446]) ).
fof(f4467,plain,
( ~ l2_lattices(sK33)
| ~ spl34_321
| spl34_622 ),
inference(resolution,[],[f4437,f2297]) ).
fof(f4437,plain,
( ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| spl34_622 ),
inference(avatar_component_clause,[],[f4435]) ).
fof(f4688,plain,
( ~ spl34_138
| ~ spl34_70
| spl34_623 ),
inference(avatar_split_clause,[],[f4456,f4439,f872,f1159]) ).
fof(f872,plain,
( spl34_70
<=> ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_70])]) ).
fof(f4456,plain,
( ~ l1_lattices(sK33)
| ~ spl34_70
| spl34_623 ),
inference(resolution,[],[f4441,f873]) ).
fof(f873,plain,
( ! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl34_70 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f4441,plain,
( ~ v1_funct_1(u1_lattices(sK33))
| spl34_623 ),
inference(avatar_component_clause,[],[f4439]) ).
fof(f4687,plain,
( ~ spl34_190
| ~ spl34_71
| spl34_620 ),
inference(avatar_split_clause,[],[f4454,f4427,f876,f1446]) ).
fof(f876,plain,
( spl34_71
<=> ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_71])]) ).
fof(f4454,plain,
( ~ l2_lattices(sK33)
| ~ spl34_71
| spl34_620 ),
inference(resolution,[],[f4429,f877]) ).
fof(f877,plain,
( ! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl34_71 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f4429,plain,
( ~ v1_funct_1(u2_lattices(sK33))
| spl34_620 ),
inference(avatar_component_clause,[],[f4427]) ).
fof(f4682,plain,
( ~ spl34_613
| ~ spl34_614
| ~ spl34_615
| ~ spl34_616
| ~ spl34_617
| ~ spl34_618
| spl34_632
| ~ spl34_234
| ~ spl34_311 ),
inference(avatar_split_clause,[],[f2214,f2205,f1723,f4680,f4413,f4409,f4405,f4401,f4397,f4393]) ).
fof(f4680,plain,
( spl34_632
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_struct_0(sK32) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_632])]) ).
fof(f2205,plain,
( spl34_311
<=> sK32 = g3_lattices(u1_struct_0(sK32),u2_lattices(sK32),u1_lattices(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_311])]) ).
fof(f2214,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_struct_0(sK32) = X0
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u2_lattices(sK32)) )
| ~ spl34_234
| ~ spl34_311 ),
inference(superposition,[],[f1724,f2207]) ).
fof(f2207,plain,
( sK32 = g3_lattices(u1_struct_0(sK32),u2_lattices(sK32),u1_lattices(sK32))
| ~ spl34_311 ),
inference(avatar_component_clause,[],[f2205]) ).
fof(f4674,plain,
( ~ spl34_613
| ~ spl34_614
| ~ spl34_615
| ~ spl34_616
| ~ spl34_617
| ~ spl34_618
| spl34_631
| ~ spl34_235
| ~ spl34_311 ),
inference(avatar_split_clause,[],[f2212,f2205,f1727,f4672,f4413,f4409,f4405,f4401,f4397,f4393]) ).
fof(f4672,plain,
( spl34_631
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u2_lattices(sK32) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_631])]) ).
fof(f2212,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u2_lattices(sK32) = X1
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u2_lattices(sK32)) )
| ~ spl34_235
| ~ spl34_311 ),
inference(superposition,[],[f1728,f2207]) ).
fof(f4642,plain,
( ~ spl34_137
| ~ spl34_200
| spl34_617 ),
inference(avatar_split_clause,[],[f4424,f4409,f1514,f1154]) ).
fof(f4424,plain,
( ~ l1_lattices(sK32)
| ~ spl34_200
| spl34_617 ),
inference(resolution,[],[f4411,f1515]) ).
fof(f4411,plain,
( ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| spl34_617 ),
inference(avatar_component_clause,[],[f4409]) ).
fof(f4638,plain,
( ~ spl34_137
| ~ spl34_320
| spl34_618 ),
inference(avatar_split_clause,[],[f4425,f4413,f2292,f1154]) ).
fof(f4425,plain,
( ~ l1_lattices(sK32)
| ~ spl34_320
| spl34_618 ),
inference(resolution,[],[f4415,f2293]) ).
fof(f4415,plain,
( ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| spl34_618 ),
inference(avatar_component_clause,[],[f4413]) ).
fof(f4623,plain,
( ~ spl34_187
| ~ spl34_202
| spl34_614 ),
inference(avatar_split_clause,[],[f4422,f4397,f1522,f1419]) ).
fof(f4422,plain,
( ~ l2_lattices(sK32)
| ~ spl34_202
| spl34_614 ),
inference(resolution,[],[f4399,f1523]) ).
fof(f4399,plain,
( ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| spl34_614 ),
inference(avatar_component_clause,[],[f4397]) ).
fof(f4612,plain,
( ~ spl34_187
| ~ spl34_321
| spl34_615 ),
inference(avatar_split_clause,[],[f4423,f4401,f2296,f1419]) ).
fof(f4423,plain,
( ~ l2_lattices(sK32)
| ~ spl34_321
| spl34_615 ),
inference(resolution,[],[f4403,f2297]) ).
fof(f4403,plain,
( ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| spl34_615 ),
inference(avatar_component_clause,[],[f4401]) ).
fof(f4611,plain,
( ~ spl34_137
| ~ spl34_70
| spl34_616 ),
inference(avatar_split_clause,[],[f4421,f4405,f872,f1154]) ).
fof(f4421,plain,
( ~ l1_lattices(sK32)
| ~ spl34_70
| spl34_616 ),
inference(resolution,[],[f4407,f873]) ).
fof(f4407,plain,
( ~ v1_funct_1(u1_lattices(sK32))
| spl34_616 ),
inference(avatar_component_clause,[],[f4405]) ).
fof(f4606,plain,
( ~ spl34_606
| ~ spl34_607
| ~ spl34_608
| ~ spl34_609
| ~ spl34_610
| ~ spl34_611
| spl34_630
| ~ spl34_234
| ~ spl34_310 ),
inference(avatar_split_clause,[],[f2203,f2194,f1723,f4604,f4378,f4374,f4370,f4366,f4362,f4358]) ).
fof(f4604,plain,
( spl34_630
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_struct_0(sK31) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_630])]) ).
fof(f2194,plain,
( spl34_310
<=> sK31 = g3_lattices(u1_struct_0(sK31),u2_lattices(sK31),u1_lattices(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_310])]) ).
fof(f2203,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_struct_0(sK31) = X0
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u2_lattices(sK31)) )
| ~ spl34_234
| ~ spl34_310 ),
inference(superposition,[],[f1724,f2196]) ).
fof(f2196,plain,
( sK31 = g3_lattices(u1_struct_0(sK31),u2_lattices(sK31),u1_lattices(sK31))
| ~ spl34_310 ),
inference(avatar_component_clause,[],[f2194]) ).
fof(f4602,plain,
( ~ spl34_187
| ~ spl34_71
| spl34_613 ),
inference(avatar_split_clause,[],[f4420,f4393,f876,f1419]) ).
fof(f4420,plain,
( ~ l2_lattices(sK32)
| ~ spl34_71
| spl34_613 ),
inference(resolution,[],[f4395,f877]) ).
fof(f4395,plain,
( ~ v1_funct_1(u2_lattices(sK32))
| spl34_613 ),
inference(avatar_component_clause,[],[f4393]) ).
fof(f4597,plain,
( ~ spl34_606
| ~ spl34_607
| ~ spl34_608
| ~ spl34_609
| ~ spl34_610
| ~ spl34_611
| spl34_629
| ~ spl34_235
| ~ spl34_310 ),
inference(avatar_split_clause,[],[f2201,f2194,f1727,f4595,f4378,f4374,f4370,f4366,f4362,f4358]) ).
fof(f4595,plain,
( spl34_629
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u2_lattices(sK31) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_629])]) ).
fof(f2201,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u2_lattices(sK31) = X1
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u2_lattices(sK31)) )
| ~ spl34_235
| ~ spl34_310 ),
inference(superposition,[],[f1728,f2196]) ).
fof(f4575,plain,
( ~ spl34_136
| ~ spl34_200
| spl34_610 ),
inference(avatar_split_clause,[],[f4389,f4374,f1514,f1149]) ).
fof(f4389,plain,
( ~ l1_lattices(sK31)
| ~ spl34_200
| spl34_610 ),
inference(resolution,[],[f4376,f1515]) ).
fof(f4376,plain,
( ~ v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| spl34_610 ),
inference(avatar_component_clause,[],[f4374]) ).
fof(f4561,plain,
( ~ spl34_136
| ~ spl34_320
| spl34_611 ),
inference(avatar_split_clause,[],[f4390,f4378,f2292,f1149]) ).
fof(f4390,plain,
( ~ l1_lattices(sK31)
| ~ spl34_320
| spl34_611 ),
inference(resolution,[],[f4380,f2293]) ).
fof(f4380,plain,
( ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| spl34_611 ),
inference(avatar_component_clause,[],[f4378]) ).
fof(f4546,plain,
( ~ spl34_149
| ~ spl34_202
| spl34_607 ),
inference(avatar_split_clause,[],[f4387,f4362,f1522,f1206]) ).
fof(f4387,plain,
( ~ l2_lattices(sK31)
| ~ spl34_202
| spl34_607 ),
inference(resolution,[],[f4364,f1523]) ).
fof(f4364,plain,
( ~ v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| spl34_607 ),
inference(avatar_component_clause,[],[f4362]) ).
fof(f4535,plain,
( ~ spl34_149
| ~ spl34_321
| spl34_608 ),
inference(avatar_split_clause,[],[f4388,f4366,f2296,f1206]) ).
fof(f4388,plain,
( ~ l2_lattices(sK31)
| ~ spl34_321
| spl34_608 ),
inference(resolution,[],[f4368,f2297]) ).
fof(f4368,plain,
( ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| spl34_608 ),
inference(avatar_component_clause,[],[f4366]) ).
fof(f4534,plain,
( ~ spl34_136
| ~ spl34_70
| spl34_609 ),
inference(avatar_split_clause,[],[f4386,f4370,f872,f1149]) ).
fof(f4386,plain,
( ~ l1_lattices(sK31)
| ~ spl34_70
| spl34_609 ),
inference(resolution,[],[f4372,f873]) ).
fof(f4372,plain,
( ~ v1_funct_1(u1_lattices(sK31))
| spl34_609 ),
inference(avatar_component_clause,[],[f4370]) ).
fof(f4533,plain,
( ~ spl34_149
| ~ spl34_71
| spl34_606 ),
inference(avatar_split_clause,[],[f4385,f4358,f876,f1206]) ).
fof(f4385,plain,
( ~ l2_lattices(sK31)
| ~ spl34_71
| spl34_606 ),
inference(resolution,[],[f4360,f877]) ).
fof(f4360,plain,
( ~ v1_funct_1(u2_lattices(sK31))
| spl34_606 ),
inference(avatar_component_clause,[],[f4358]) ).
fof(f4528,plain,
( ~ spl34_599
| ~ spl34_600
| ~ spl34_601
| ~ spl34_602
| ~ spl34_603
| ~ spl34_604
| spl34_628
| ~ spl34_234
| ~ spl34_309 ),
inference(avatar_split_clause,[],[f2192,f2183,f1723,f4526,f4343,f4339,f4335,f4331,f4327,f4323]) ).
fof(f4526,plain,
( spl34_628
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_struct_0(sK30) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_628])]) ).
fof(f2183,plain,
( spl34_309
<=> sK30 = g3_lattices(u1_struct_0(sK30),u2_lattices(sK30),u1_lattices(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_309])]) ).
fof(f2192,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_struct_0(sK30) = X0
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u2_lattices(sK30)) )
| ~ spl34_234
| ~ spl34_309 ),
inference(superposition,[],[f1724,f2185]) ).
fof(f2185,plain,
( sK30 = g3_lattices(u1_struct_0(sK30),u2_lattices(sK30),u1_lattices(sK30))
| ~ spl34_309 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f4520,plain,
( ~ spl34_599
| ~ spl34_600
| ~ spl34_601
| ~ spl34_602
| ~ spl34_603
| ~ spl34_604
| spl34_627
| ~ spl34_235
| ~ spl34_309 ),
inference(avatar_split_clause,[],[f2190,f2183,f1727,f4518,f4343,f4339,f4335,f4331,f4327,f4323]) ).
fof(f4518,plain,
( spl34_627
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u2_lattices(sK30) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_627])]) ).
fof(f2190,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u2_lattices(sK30) = X1
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u2_lattices(sK30)) )
| ~ spl34_235
| ~ spl34_309 ),
inference(superposition,[],[f1728,f2185]) ).
fof(f4498,plain,
( ~ spl34_135
| ~ spl34_200
| spl34_603 ),
inference(avatar_split_clause,[],[f4355,f4339,f1514,f1144]) ).
fof(f4355,plain,
( ~ l1_lattices(sK30)
| ~ spl34_200
| spl34_603 ),
inference(resolution,[],[f4341,f1515]) ).
fof(f4341,plain,
( ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| spl34_603 ),
inference(avatar_component_clause,[],[f4339]) ).
fof(f4485,plain,
( ~ spl34_135
| ~ spl34_320
| spl34_604 ),
inference(avatar_split_clause,[],[f4356,f4343,f2292,f1144]) ).
fof(f4356,plain,
( ~ l1_lattices(sK30)
| ~ spl34_320
| spl34_604 ),
inference(resolution,[],[f4345,f2293]) ).
fof(f4345,plain,
( ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| spl34_604 ),
inference(avatar_component_clause,[],[f4343]) ).
fof(f4470,plain,
( ~ spl34_140
| ~ spl34_202
| spl34_600 ),
inference(avatar_split_clause,[],[f4352,f4327,f1522,f1169]) ).
fof(f4352,plain,
( ~ l2_lattices(sK30)
| ~ spl34_202
| spl34_600 ),
inference(resolution,[],[f4329,f1523]) ).
fof(f4329,plain,
( ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| spl34_600 ),
inference(avatar_component_clause,[],[f4327]) ).
fof(f4455,plain,
( ~ spl34_140
| ~ spl34_321
| spl34_601 ),
inference(avatar_split_clause,[],[f4353,f4331,f2296,f1169]) ).
fof(f4353,plain,
( ~ l2_lattices(sK30)
| ~ spl34_321
| spl34_601 ),
inference(resolution,[],[f4333,f2297]) ).
fof(f4333,plain,
( ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| spl34_601 ),
inference(avatar_component_clause,[],[f4331]) ).
fof(f4453,plain,
( ~ spl34_620
| ~ spl34_621
| ~ spl34_622
| ~ spl34_623
| ~ spl34_624
| ~ spl34_625
| spl34_626
| ~ spl34_236
| ~ spl34_312 ),
inference(avatar_split_clause,[],[f2221,f2216,f1731,f4451,f4447,f4443,f4439,f4435,f4431,f4427]) ).
fof(f4451,plain,
( spl34_626
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_lattices(sK33) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_626])]) ).
fof(f2221,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_lattices(sK33) = X2
| ~ m1_relset_1(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(u1_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u1_lattices(sK33))
| ~ m1_relset_1(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_2(u2_lattices(sK33),k2_zfmisc_1(u1_struct_0(sK33),u1_struct_0(sK33)),u1_struct_0(sK33))
| ~ v1_funct_1(u2_lattices(sK33)) )
| ~ spl34_236
| ~ spl34_312 ),
inference(superposition,[],[f1732,f2218]) ).
fof(f4419,plain,
( ~ spl34_613
| ~ spl34_614
| ~ spl34_615
| ~ spl34_616
| ~ spl34_617
| ~ spl34_618
| spl34_619
| ~ spl34_236
| ~ spl34_311 ),
inference(avatar_split_clause,[],[f2210,f2205,f1731,f4417,f4413,f4409,f4405,f4401,f4397,f4393]) ).
fof(f4417,plain,
( spl34_619
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_lattices(sK32) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_619])]) ).
fof(f2210,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_lattices(sK32) = X2
| ~ m1_relset_1(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u1_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u1_lattices(sK32))
| ~ m1_relset_1(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_2(u2_lattices(sK32),k2_zfmisc_1(u1_struct_0(sK32),u1_struct_0(sK32)),u1_struct_0(sK32))
| ~ v1_funct_1(u2_lattices(sK32)) )
| ~ spl34_236
| ~ spl34_311 ),
inference(superposition,[],[f1732,f2207]) ).
fof(f4391,plain,
( ~ spl34_135
| ~ spl34_70
| spl34_602 ),
inference(avatar_split_clause,[],[f4351,f4335,f872,f1144]) ).
fof(f4351,plain,
( ~ l1_lattices(sK30)
| ~ spl34_70
| spl34_602 ),
inference(resolution,[],[f4337,f873]) ).
fof(f4337,plain,
( ~ v1_funct_1(u1_lattices(sK30))
| spl34_602 ),
inference(avatar_component_clause,[],[f4335]) ).
fof(f4384,plain,
( ~ spl34_606
| ~ spl34_607
| ~ spl34_608
| ~ spl34_609
| ~ spl34_610
| ~ spl34_611
| spl34_612
| ~ spl34_236
| ~ spl34_310 ),
inference(avatar_split_clause,[],[f2199,f2194,f1731,f4382,f4378,f4374,f4370,f4366,f4362,f4358]) ).
fof(f4382,plain,
( spl34_612
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_lattices(sK31) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_612])]) ).
fof(f2199,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_lattices(sK31) = X2
| ~ m1_relset_1(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u1_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u1_lattices(sK31))
| ~ m1_relset_1(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_2(u2_lattices(sK31),k2_zfmisc_1(u1_struct_0(sK31),u1_struct_0(sK31)),u1_struct_0(sK31))
| ~ v1_funct_1(u2_lattices(sK31)) )
| ~ spl34_236
| ~ spl34_310 ),
inference(superposition,[],[f1732,f2196]) ).
fof(f4354,plain,
( ~ spl34_140
| ~ spl34_71
| spl34_599 ),
inference(avatar_split_clause,[],[f4350,f4323,f876,f1169]) ).
fof(f4350,plain,
( ~ l2_lattices(sK30)
| ~ spl34_71
| spl34_599 ),
inference(resolution,[],[f4325,f877]) ).
fof(f4325,plain,
( ~ v1_funct_1(u2_lattices(sK30))
| spl34_599 ),
inference(avatar_component_clause,[],[f4323]) ).
fof(f4349,plain,
( ~ spl34_599
| ~ spl34_600
| ~ spl34_601
| ~ spl34_602
| ~ spl34_603
| ~ spl34_604
| spl34_605
| ~ spl34_236
| ~ spl34_309 ),
inference(avatar_split_clause,[],[f2188,f2183,f1731,f4347,f4343,f4339,f4335,f4331,f4327,f4323]) ).
fof(f4347,plain,
( spl34_605
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_lattices(sK30) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_605])]) ).
fof(f2188,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_lattices(sK30) = X2
| ~ m1_relset_1(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u1_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u1_lattices(sK30))
| ~ m1_relset_1(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_2(u2_lattices(sK30),k2_zfmisc_1(u1_struct_0(sK30),u1_struct_0(sK30)),u1_struct_0(sK30))
| ~ v1_funct_1(u2_lattices(sK30)) )
| ~ spl34_236
| ~ spl34_309 ),
inference(superposition,[],[f1732,f2185]) ).
fof(f4271,plain,
( spl34_598
| ~ spl34_234
| ~ spl34_312 ),
inference(avatar_split_clause,[],[f2224,f2216,f1723,f4269]) ).
fof(f4269,plain,
( spl34_598
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_struct_0(sK33) = 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,[spl34_598])]) ).
fof(f2224,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_struct_0(sK33) = 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) )
| ~ spl34_234
| ~ spl34_312 ),
inference(superposition,[],[f1724,f2218]) ).
fof(f4267,plain,
( spl34_597
| ~ spl34_235
| ~ spl34_312 ),
inference(avatar_split_clause,[],[f2222,f2216,f1727,f4265]) ).
fof(f4265,plain,
( spl34_597
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u2_lattices(sK33) = 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,[spl34_597])]) ).
fof(f2222,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u2_lattices(sK33) = 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) )
| ~ spl34_235
| ~ spl34_312 ),
inference(superposition,[],[f1728,f2218]) ).
fof(f4263,plain,
( spl34_596
| ~ spl34_236
| ~ spl34_312 ),
inference(avatar_split_clause,[],[f2220,f2216,f1731,f4261]) ).
fof(f4261,plain,
( spl34_596
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_lattices(sK33) = 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,[spl34_596])]) ).
fof(f2220,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK33
| u1_lattices(sK33) = 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) )
| ~ spl34_236
| ~ spl34_312 ),
inference(superposition,[],[f1732,f2218]) ).
fof(f4259,plain,
( spl34_594
| ~ spl34_595
| ~ spl34_300
| ~ spl34_457 ),
inference(avatar_split_clause,[],[f3233,f3184,f2126,f4256,f4253]) ).
fof(f4253,plain,
( spl34_594
<=> ! [X0] : ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_594])]) ).
fof(f4256,plain,
( spl34_595
<=> v1_xboole_0(k2_zfmisc_1(u2_conlat_1(sK6),u1_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_595])]) ).
fof(f3233,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_conlat_1(sK6),u1_conlat_1(sK6)))
| ~ r2_hidden(X0,k4_relat_1(u3_conlat_1(sK6))) )
| ~ spl34_300
| ~ spl34_457 ),
inference(resolution,[],[f3186,f2127]) ).
fof(f4251,plain,
( spl34_593
| ~ spl34_234
| ~ spl34_311 ),
inference(avatar_split_clause,[],[f2213,f2205,f1723,f4249]) ).
fof(f4249,plain,
( spl34_593
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_struct_0(sK32) = 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,[spl34_593])]) ).
fof(f2213,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_struct_0(sK32) = 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) )
| ~ spl34_234
| ~ spl34_311 ),
inference(superposition,[],[f1724,f2207]) ).
fof(f4247,plain,
( spl34_592
| ~ spl34_235
| ~ spl34_311 ),
inference(avatar_split_clause,[],[f2211,f2205,f1727,f4245]) ).
fof(f4245,plain,
( spl34_592
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u2_lattices(sK32) = 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,[spl34_592])]) ).
fof(f2211,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u2_lattices(sK32) = 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) )
| ~ spl34_235
| ~ spl34_311 ),
inference(superposition,[],[f1728,f2207]) ).
fof(f4243,plain,
( spl34_591
| ~ spl34_236
| ~ spl34_311 ),
inference(avatar_split_clause,[],[f2209,f2205,f1731,f4241]) ).
fof(f4241,plain,
( spl34_591
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_lattices(sK32) = 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,[spl34_591])]) ).
fof(f2209,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK32
| u1_lattices(sK32) = 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) )
| ~ spl34_236
| ~ spl34_311 ),
inference(superposition,[],[f1732,f2207]) ).
fof(f4239,plain,
( spl34_590
| ~ spl34_234
| ~ spl34_310 ),
inference(avatar_split_clause,[],[f2202,f2194,f1723,f4237]) ).
fof(f4237,plain,
( spl34_590
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_struct_0(sK31) = 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,[spl34_590])]) ).
fof(f2202,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_struct_0(sK31) = 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) )
| ~ spl34_234
| ~ spl34_310 ),
inference(superposition,[],[f1724,f2196]) ).
fof(f4235,plain,
( spl34_589
| ~ spl34_235
| ~ spl34_310 ),
inference(avatar_split_clause,[],[f2200,f2194,f1727,f4233]) ).
fof(f4233,plain,
( spl34_589
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u2_lattices(sK31) = 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,[spl34_589])]) ).
fof(f2200,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u2_lattices(sK31) = 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) )
| ~ spl34_235
| ~ spl34_310 ),
inference(superposition,[],[f1728,f2196]) ).
fof(f4231,plain,
( spl34_588
| ~ spl34_236
| ~ spl34_310 ),
inference(avatar_split_clause,[],[f2198,f2194,f1731,f4229]) ).
fof(f4229,plain,
( spl34_588
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_lattices(sK31) = 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,[spl34_588])]) ).
fof(f2198,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK31
| u1_lattices(sK31) = 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) )
| ~ spl34_236
| ~ spl34_310 ),
inference(superposition,[],[f1732,f2196]) ).
fof(f4227,plain,
( spl34_587
| ~ spl34_234
| ~ spl34_309 ),
inference(avatar_split_clause,[],[f2191,f2183,f1723,f4225]) ).
fof(f4225,plain,
( spl34_587
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_struct_0(sK30) = 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,[spl34_587])]) ).
fof(f2191,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_struct_0(sK30) = 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) )
| ~ spl34_234
| ~ spl34_309 ),
inference(superposition,[],[f1724,f2185]) ).
fof(f4223,plain,
( spl34_586
| ~ spl34_235
| ~ spl34_309 ),
inference(avatar_split_clause,[],[f2189,f2183,f1727,f4221]) ).
fof(f4221,plain,
( spl34_586
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u2_lattices(sK30) = 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,[spl34_586])]) ).
fof(f2189,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u2_lattices(sK30) = 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) )
| ~ spl34_235
| ~ spl34_309 ),
inference(superposition,[],[f1728,f2185]) ).
fof(f4219,plain,
( spl34_585
| ~ spl34_236
| ~ spl34_309 ),
inference(avatar_split_clause,[],[f2187,f2183,f1731,f4217]) ).
fof(f4217,plain,
( spl34_585
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_lattices(sK30) = 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,[spl34_585])]) ).
fof(f2187,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sK30
| u1_lattices(sK30) = 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) )
| ~ spl34_236
| ~ spl34_309 ),
inference(superposition,[],[f1732,f2185]) ).
fof(f4215,plain,
( spl34_584
| ~ spl34_198
| ~ spl34_326 ),
inference(avatar_split_clause,[],[f2491,f2367,f1502,f4212]) ).
fof(f4210,plain,
( ~ spl34_505
| spl34_583
| spl34_541
| ~ spl34_338
| ~ spl34_365 ),
inference(avatar_split_clause,[],[f2653,f2633,f2450,f3845,f4207,f3523]) ).
fof(f3523,plain,
( spl34_505
<=> m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_505])]) ).
fof(f2633,plain,
( spl34_365
<=> ! [X2,X0,X1] :
( k7_conlat_2(g2_conlat_1(X0,X1,X2)) = g2_conlat_1(u2_conlat_1(g2_conlat_1(X0,X1,X2)),u1_conlat_1(g2_conlat_1(X0,X1,X2)),k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_365])]) ).
fof(f2653,plain,
( v3_conlat_1(k7_conlat_2(sK28))
| k7_conlat_2(k7_conlat_2(sK28)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(sK28)),u1_conlat_1(k7_conlat_2(sK28)),k6_relset_1(u1_conlat_1(k7_conlat_2(sK28)),u2_conlat_1(k7_conlat_2(sK28)),u3_conlat_1(k7_conlat_2(sK28))))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_338
| ~ spl34_365 ),
inference(superposition,[],[f2634,f2452]) ).
fof(f2634,plain,
( ! [X2,X0,X1] :
( v3_conlat_1(g2_conlat_1(X0,X1,X2))
| k7_conlat_2(g2_conlat_1(X0,X1,X2)) = g2_conlat_1(u2_conlat_1(g2_conlat_1(X0,X1,X2)),u1_conlat_1(g2_conlat_1(X0,X1,X2)),k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_365 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f4195,plain,
( spl34_582
| ~ spl34_320
| ~ spl34_373 ),
inference(avatar_split_clause,[],[f2687,f2681,f2292,f4193]) ).
fof(f2681,plain,
( spl34_373
<=> ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_373])]) ).
fof(f2687,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_373 ),
inference(duplicate_literal_removal,[],[f2686]) ).
fof(f2686,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_373 ),
inference(resolution,[],[f2682,f2293]) ).
fof(f2682,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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))
| ~ l1_lattices(X0) )
| ~ spl34_373 ),
inference(avatar_component_clause,[],[f2681]) ).
fof(f4191,plain,
( spl34_581
| ~ spl34_321
| ~ spl34_372 ),
inference(avatar_split_clause,[],[f2685,f2677,f2296,f4189]) ).
fof(f2677,plain,
( spl34_372
<=> ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_372])]) ).
fof(f2685,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_372 ),
inference(duplicate_literal_removal,[],[f2684]) ).
fof(f2684,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_372 ),
inference(resolution,[],[f2678,f2297]) ).
fof(f2678,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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))
| ~ l2_lattices(X0) )
| ~ spl34_372 ),
inference(avatar_component_clause,[],[f2677]) ).
fof(f4187,plain,
( spl34_580
| ~ spl34_207
| ~ spl34_371 ),
inference(avatar_split_clause,[],[f2675,f2671,f1544,f4185]) ).
fof(f2671,plain,
( spl34_371
<=> ! [X0] :
( r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_371])]) ).
fof(f2675,plain,
( ! [X0] :
( r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207
| ~ spl34_371 ),
inference(duplicate_literal_removal,[],[f2674]) ).
fof(f2674,plain,
( ! [X0] :
( r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207
| ~ spl34_371 ),
inference(resolution,[],[f2672,f1545]) ).
fof(f2672,plain,
( ! [X0] :
( ~ m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_371 ),
inference(avatar_component_clause,[],[f2671]) ).
fof(f4162,plain,
( spl34_579
| ~ spl34_320
| ~ spl34_369 ),
inference(avatar_split_clause,[],[f2669,f2649,f2292,f4160]) ).
fof(f2649,plain,
( spl34_369
<=> ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_369])]) ).
fof(f2669,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_369 ),
inference(duplicate_literal_removal,[],[f2668]) ).
fof(f2668,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_369 ),
inference(resolution,[],[f2650,f2293]) ).
fof(f2650,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) )
| ~ spl34_369 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f4158,plain,
( spl34_578
| ~ spl34_321
| ~ spl34_368 ),
inference(avatar_split_clause,[],[f2667,f2645,f2296,f4156]) ).
fof(f2645,plain,
( spl34_368
<=> ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_368])]) ).
fof(f2667,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_368 ),
inference(duplicate_literal_removal,[],[f2666]) ).
fof(f2666,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_368 ),
inference(resolution,[],[f2646,f2297]) ).
fof(f2646,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) )
| ~ spl34_368 ),
inference(avatar_component_clause,[],[f2645]) ).
fof(f4154,plain,
( spl34_577
| ~ spl34_320
| ~ spl34_367 ),
inference(avatar_split_clause,[],[f2660,f2641,f2292,f4152]) ).
fof(f2641,plain,
( spl34_367
<=> ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_367])]) ).
fof(f2660,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_367 ),
inference(duplicate_literal_removal,[],[f2659]) ).
fof(f2659,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_367 ),
inference(resolution,[],[f2642,f2293]) ).
fof(f2642,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) )
| ~ spl34_367 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f4150,plain,
( spl34_576
| ~ spl34_321
| ~ spl34_366 ),
inference(avatar_split_clause,[],[f2658,f2637,f2296,f4148]) ).
fof(f2637,plain,
( spl34_366
<=> ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_366])]) ).
fof(f2658,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_366 ),
inference(duplicate_literal_removal,[],[f2657]) ).
fof(f2657,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_366 ),
inference(resolution,[],[f2638,f2297]) ).
fof(f2638,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) )
| ~ spl34_366 ),
inference(avatar_component_clause,[],[f2637]) ).
fof(f4146,plain,
( spl34_575
| ~ spl34_150
| ~ spl34_364 ),
inference(avatar_split_clause,[],[f2631,f2628,f1211,f4144]) ).
fof(f4144,plain,
( spl34_575
<=> ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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,[spl34_575])]) ).
fof(f2628,plain,
( spl34_364
<=> ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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,[spl34_364])]) ).
fof(f2631,plain,
( ! [X0,X1] :
( ~ v3_struct_0(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_150
| ~ spl34_364 ),
inference(resolution,[],[f2629,f1212]) ).
fof(f2629,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_364 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f4136,plain,
( spl34_574
| ~ spl34_120
| ~ spl34_359 ),
inference(avatar_split_clause,[],[f2592,f2588,f1076,f4134]) ).
fof(f2588,plain,
( spl34_359
<=> ! [X0] :
( v1_funct_1(k10_conlat_2(X0))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_359])]) ).
fof(f2592,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP4(k11_conlat_1(X0)) )
| ~ spl34_120
| ~ spl34_359 ),
inference(resolution,[],[f2589,f1077]) ).
fof(f2589,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_359 ),
inference(avatar_component_clause,[],[f2588]) ).
fof(f4132,plain,
( spl34_573
| ~ spl34_198
| ~ spl34_307
| ~ spl34_326
| ~ spl34_370 ),
inference(avatar_split_clause,[],[f2693,f2662,f2367,f2165,f1502,f4129]) ).
fof(f2693,plain,
( u3_conlat_1(sK6) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_198
| ~ spl34_307
| ~ spl34_326
| ~ spl34_370 ),
inference(forward_demodulation,[],[f2692,f2664]) ).
fof(f2692,plain,
( k4_relat_1(k4_relat_1(u3_conlat_1(sK6))) = k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_198
| ~ spl34_307
| ~ spl34_326 ),
inference(forward_demodulation,[],[f2689,f2491]) ).
fof(f2689,plain,
( k6_relset_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6))) = k4_relat_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))
| ~ spl34_198
| ~ spl34_307 ),
inference(resolution,[],[f2166,f1503]) ).
fof(f4127,plain,
( spl34_572
| ~ spl34_131
| ~ spl34_359 ),
inference(avatar_split_clause,[],[f2591,f2588,f1121,f4125]) ).
fof(f2591,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| v1_funct_1(k10_conlat_2(X0))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ sP5(k11_conlat_1(X0)) )
| ~ spl34_131
| ~ spl34_359 ),
inference(resolution,[],[f2589,f1122]) ).
fof(f4114,plain,
( spl34_571
| ~ spl34_150
| ~ spl34_363 ),
inference(avatar_split_clause,[],[f2624,f2620,f1211,f4112]) ).
fof(f2620,plain,
( spl34_363
<=> ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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,[spl34_363])]) ).
fof(f2624,plain,
( ! [X0,X1] :
( l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_150
| ~ spl34_363 ),
inference(resolution,[],[f2621,f1212]) ).
fof(f2621,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_363 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f4110,plain,
( spl34_570
| ~ spl34_150
| ~ spl34_362 ),
inference(avatar_split_clause,[],[f2623,f2616,f1211,f4108]) ).
fof(f2616,plain,
( spl34_362
<=> ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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,[spl34_362])]) ).
fof(f2623,plain,
( ! [X0,X1] :
( v3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_150
| ~ spl34_362 ),
inference(resolution,[],[f2617,f1212]) ).
fof(f2617,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_362 ),
inference(avatar_component_clause,[],[f2616]) ).
fof(f4106,plain,
( spl34_569
| ~ spl34_208
| ~ spl34_351 ),
inference(avatar_split_clause,[],[f2535,f2532,f1548,f4104]) ).
fof(f2535,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0)
| k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2)) = X2 )
| ~ spl34_208
| ~ spl34_351 ),
inference(resolution,[],[f2533,f1549]) ).
fof(f4102,plain,
( ~ spl34_505
| spl34_568
| ~ spl34_220
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2460,f2450,f1616,f4100,f3523]) ).
fof(f2460,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = X2
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28)) )
| ~ spl34_220
| ~ spl34_338 ),
inference(superposition,[],[f1617,f2452]) ).
fof(f4096,plain,
( spl34_567
| ~ spl34_351
| ~ spl34_361 ),
inference(avatar_split_clause,[],[f2614,f2605,f2532,f4094]) ).
fof(f4094,plain,
( spl34_567
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X1,X0)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_567])]) ).
fof(f2605,plain,
( spl34_361
<=> ! [X2,X0,X1] :
( ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_361])]) ).
fof(f2614,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X1,X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl34_351
| ~ spl34_361 ),
inference(duplicate_literal_removal,[],[f2608]) ).
fof(f2608,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0) )
| ~ spl34_351
| ~ spl34_361 ),
inference(resolution,[],[f2606,f2533]) ).
fof(f2606,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_lattice4(X0,X1,X2)
| v1_xboole_0(u1_struct_0(X2)) )
| ~ spl34_361 ),
inference(avatar_component_clause,[],[f2605]) ).
fof(f4080,plain,
( spl34_566
| ~ spl34_351
| ~ spl34_360 ),
inference(avatar_split_clause,[],[f2603,f2594,f2532,f4078]) ).
fof(f2594,plain,
( spl34_360
<=> ! [X2,X0,X1] :
( ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_360])]) ).
fof(f2603,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl34_351
| ~ spl34_360 ),
inference(duplicate_literal_removal,[],[f2597]) ).
fof(f2597,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m1_lattice4(X2,X1,X0)
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0) )
| ~ spl34_351
| ~ spl34_360 ),
inference(resolution,[],[f2595,f2533]) ).
fof(f2595,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_lattice4(X0,X1,X2)
| v1_xboole_0(u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl34_360 ),
inference(avatar_component_clause,[],[f2594]) ).
fof(f4076,plain,
( spl34_565
| ~ spl34_229
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2299,f2276,f1687,f4074]) ).
fof(f1687,plain,
( spl34_229
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_229])]) ).
fof(f2299,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X3)))
| ~ m1_lattice4(X1,X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl34_229
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1688]) ).
fof(f1688,plain,
( ! [X2,X0,X1] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_229 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f4037,plain,
( spl34_564
| ~ spl34_188
| ~ spl34_357 ),
inference(avatar_split_clause,[],[f2581,f2573,f1424,f4035]) ).
fof(f2573,plain,
( spl34_357
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ l2_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_357])]) ).
fof(f2581,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_357 ),
inference(duplicate_literal_removal,[],[f2576]) ).
fof(f2576,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_357 ),
inference(resolution,[],[f2574,f1425]) ).
fof(f2574,plain,
( ! [X2,X0,X1] :
( ~ l2_conlat_1(g2_conlat_1(X0,X1,X2))
| g2_conlat_1(X0,X1,X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_357 ),
inference(avatar_component_clause,[],[f2573]) ).
fof(f4033,plain,
( spl34_563
| ~ spl34_159
| ~ spl34_356 ),
inference(avatar_split_clause,[],[f2571,f2563,f1260,f4031]) ).
fof(f2563,plain,
( spl34_356
<=> ! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_356])]) ).
fof(f2571,plain,
( ! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_356 ),
inference(duplicate_literal_removal,[],[f2570]) ).
fof(f2570,plain,
( ! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_356 ),
inference(resolution,[],[f2564,f1261]) ).
fof(f2564,plain,
( ! [X0] :
( v3_conlat_1(k7_conlat_2(X0))
| k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_356 ),
inference(avatar_component_clause,[],[f2563]) ).
fof(f4029,plain,
( spl34_561
| ~ spl34_562
| ~ spl34_300
| ~ spl34_347 ),
inference(avatar_split_clause,[],[f2547,f2511,f2126,f4026,f4023]) ).
fof(f4023,plain,
( spl34_561
<=> ! [X0] : ~ r2_hidden(X0,u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_561])]) ).
fof(f4026,plain,
( spl34_562
<=> v1_xboole_0(k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_562])]) ).
fof(f2547,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_conlat_1(sK6),u2_conlat_1(sK6)))
| ~ r2_hidden(X0,u3_conlat_1(sK6)) )
| ~ spl34_300
| ~ spl34_347 ),
inference(resolution,[],[f2513,f2127]) ).
fof(f4021,plain,
( spl34_560
| ~ spl34_198
| ~ spl34_351 ),
inference(avatar_split_clause,[],[f2536,f2532,f1502,f4019]) ).
fof(f2536,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m1_lattice4(X2,X1,X0)
| k4_relat_1(X2) = k6_relset_1(u1_struct_0(X1),u1_struct_0(X0),X2) )
| ~ spl34_198
| ~ spl34_351 ),
inference(resolution,[],[f2533,f1503]) ).
fof(f4017,plain,
( spl34_559
| ~ spl34_229
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2250,f2126,f1687,f4015]) ).
fof(f2250,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r2_hidden(X2,X3)
| ~ m1_lattice4(X3,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_229
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1688]) ).
fof(f3985,plain,
( ~ spl34_505
| spl34_558
| ~ spl34_219
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2458,f2450,f1612,f3983,f3523]) ).
fof(f2458,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u1_conlat_1(sK28) = X1
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28)) )
| ~ spl34_219
| ~ spl34_338 ),
inference(superposition,[],[f1613,f2452]) ).
fof(f3981,plain,
( ~ spl34_505
| spl34_557
| ~ spl34_218
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2456,f2450,f1608,f3979,f3523]) ).
fof(f2456,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = X0
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28)) )
| ~ spl34_218
| ~ spl34_338 ),
inference(superposition,[],[f1609,f2452]) ).
fof(f3977,plain,
( spl34_556
| ~ spl34_208
| ~ spl34_321 ),
inference(avatar_split_clause,[],[f2315,f2296,f1548,f3975]) ).
fof(f2315,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| u2_lattices(X0) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0))) )
| ~ spl34_208
| ~ spl34_321 ),
inference(resolution,[],[f2297,f1549]) ).
fof(f3973,plain,
( spl34_555
| ~ spl34_208
| ~ spl34_320 ),
inference(avatar_split_clause,[],[f2312,f2292,f1548,f3971]) ).
fof(f2312,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| u1_lattices(X0) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0))) )
| ~ spl34_208
| ~ spl34_320 ),
inference(resolution,[],[f2293,f1549]) ).
fof(f3964,plain,
( spl34_554
| ~ spl34_15
| ~ spl34_470
| ~ spl34_553 ),
inference(avatar_split_clause,[],[f3960,f3957,f3284,f602,f3962]) ).
fof(f3962,plain,
( spl34_554
<=> ! [X2,X0,X1] :
( k4_relat_1(u3_conlat_1(sK28)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_554])]) ).
fof(f3957,plain,
( spl34_553
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_553])]) ).
fof(f3960,plain,
( ! [X2,X0,X1] :
( k4_relat_1(u3_conlat_1(sK28)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_15
| ~ spl34_470
| ~ spl34_553 ),
inference(forward_demodulation,[],[f3958,f3361]) ).
fof(f3958,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_553 ),
inference(avatar_component_clause,[],[f3957]) ).
fof(f3959,plain,
( spl34_553
| ~ spl34_220
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2461,f2450,f1616,f3957]) ).
fof(f2461,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_338 ),
inference(superposition,[],[f1617,f2452]) ).
fof(f3907,plain,
( spl34_552
| ~ spl34_270
| ~ spl34_325 ),
inference(avatar_split_clause,[],[f2358,f2331,f1970,f3905]) ).
fof(f3905,plain,
( spl34_552
<=> ! [X0] :
( ~ v4_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u2_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_552])]) ).
fof(f2331,plain,
( spl34_325
<=> ! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_325])]) ).
fof(f2358,plain,
( ! [X0] :
( ~ v4_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u2_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_270
| ~ spl34_325 ),
inference(resolution,[],[f2332,f1971]) ).
fof(f2332,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) )
| ~ spl34_325 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f3903,plain,
( spl34_551
| ~ spl34_271
| ~ spl34_324 ),
inference(avatar_split_clause,[],[f2350,f2327,f1974,f3901]) ).
fof(f3901,plain,
( spl34_551
<=> ! [X0] :
( ~ v7_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u1_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_551])]) ).
fof(f2327,plain,
( spl34_324
<=> ! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_324])]) ).
fof(f2350,plain,
( ! [X0] :
( ~ v7_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u1_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_271
| ~ spl34_324 ),
inference(resolution,[],[f2328,f1975]) ).
fof(f2328,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) )
| ~ spl34_324 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f3899,plain,
( spl34_550
| ~ spl34_270
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2342,f2323,f1970,f3897]) ).
fof(f3897,plain,
( spl34_550
<=> ! [X0] :
( ~ v5_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u2_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_550])]) ).
fof(f2323,plain,
( spl34_323
<=> ! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_323])]) ).
fof(f2342,plain,
( ! [X0] :
( ~ v5_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u2_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_270
| ~ spl34_323 ),
inference(resolution,[],[f2324,f1971]) ).
fof(f2324,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) )
| ~ spl34_323 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f3895,plain,
( spl34_549
| ~ spl34_271
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2334,f2319,f1974,f3893]) ).
fof(f3893,plain,
( spl34_549
<=> ! [X0] :
( ~ v6_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u1_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_549])]) ).
fof(f2319,plain,
( spl34_322
<=> ! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_322])]) ).
fof(f2334,plain,
( ! [X0] :
( ~ v6_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| u1_lattices(k11_conlat_1(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k11_conlat_1(X0))))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) )
| ~ spl34_271
| ~ spl34_322 ),
inference(resolution,[],[f2320,f1975]) ).
fof(f2320,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) )
| ~ spl34_322 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f3891,plain,
( spl34_548
| ~ spl34_208
| ~ spl34_304 ),
inference(avatar_split_clause,[],[f2262,f2142,f1548,f3889]) ).
fof(f2262,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) )
| ~ spl34_208
| ~ spl34_304 ),
inference(resolution,[],[f2143,f1549]) ).
fof(f3878,plain,
( spl34_547
| ~ spl34_321
| ~ spl34_355 ),
inference(avatar_split_clause,[],[f2569,f2559,f2296,f3876]) ).
fof(f3876,plain,
( spl34_547
<=> ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_547])]) ).
fof(f2559,plain,
( spl34_355
<=> ! [X0] :
( v1_partfun1(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(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_355])]) ).
fof(f2569,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_355 ),
inference(duplicate_literal_removal,[],[f2568]) ).
fof(f2568,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_355 ),
inference(resolution,[],[f2560,f2297]) ).
fof(f2560,plain,
( ! [X0] :
( ~ m1_relset_1(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_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl34_355 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f3874,plain,
( spl34_546
| ~ spl34_320
| ~ spl34_354 ),
inference(avatar_split_clause,[],[f2567,f2555,f2292,f3872]) ).
fof(f3872,plain,
( spl34_546
<=> ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_546])]) ).
fof(f2555,plain,
( spl34_354
<=> ! [X0] :
( v1_partfun1(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(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_354])]) ).
fof(f2567,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_354 ),
inference(duplicate_literal_removal,[],[f2566]) ).
fof(f2566,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_354 ),
inference(resolution,[],[f2556,f2293]) ).
fof(f2556,plain,
( ! [X0] :
( ~ m1_relset_1(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_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl34_354 ),
inference(avatar_component_clause,[],[f2555]) ).
fof(f3869,plain,
( ~ spl34_505
| spl34_545
| spl34_541
| ~ spl34_329
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2465,f2450,f2380,f3845,f3866,f3523]) ).
fof(f2380,plain,
( spl34_329
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| sP1(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_329])]) ).
fof(f2465,plain,
( v3_conlat_1(k7_conlat_2(sK28))
| sP1(k7_conlat_2(sK28))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_329
| ~ spl34_338 ),
inference(superposition,[],[f2381,f2452]) ).
fof(f2381,plain,
( ! [X2,X0,X1] :
( v3_conlat_1(g2_conlat_1(X1,X2,X0))
| sP1(g2_conlat_1(X1,X2,X0))
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl34_329 ),
inference(avatar_component_clause,[],[f2380]) ).
fof(f3863,plain,
( ~ spl34_505
| spl34_544
| spl34_541
| ~ spl34_328
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2464,f2450,f2376,f3845,f3860,f3523]) ).
fof(f2376,plain,
( spl34_328
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| sP2(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_328])]) ).
fof(f2464,plain,
( v3_conlat_1(k7_conlat_2(sK28))
| sP2(k7_conlat_2(sK28))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_328
| ~ spl34_338 ),
inference(superposition,[],[f2377,f2452]) ).
fof(f2377,plain,
( ! [X2,X0,X1] :
( v3_conlat_1(g2_conlat_1(X1,X2,X0))
| sP2(g2_conlat_1(X1,X2,X0))
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl34_328 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f3858,plain,
( spl34_542
| ~ spl34_543
| ~ spl34_338
| ~ spl34_389 ),
inference(avatar_split_clause,[],[f2799,f2795,f2450,f3855,f3851]) ).
fof(f3851,plain,
( spl34_542
<=> u2_conlat_1(sK28) = u2_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_542])]) ).
fof(f3855,plain,
( spl34_543
<=> k7_conlat_2(sK6) = k7_conlat_2(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_543])]) ).
fof(f2799,plain,
( k7_conlat_2(sK6) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = u2_conlat_1(sK6)
| ~ spl34_338
| ~ spl34_389 ),
inference(superposition,[],[f2796,f2452]) ).
fof(f3848,plain,
( ~ spl34_505
| spl34_540
| spl34_541
| ~ spl34_327
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2463,f2450,f2372,f3845,f3841,f3523]) ).
fof(f2372,plain,
( spl34_327
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| sP3(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_327])]) ).
fof(f2463,plain,
( v3_conlat_1(k7_conlat_2(sK28))
| sP3(k7_conlat_2(sK28))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_327
| ~ spl34_338 ),
inference(superposition,[],[f2373,f2452]) ).
fof(f2373,plain,
( ! [X2,X0,X1] :
( v3_conlat_1(g2_conlat_1(X1,X2,X0))
| sP3(g2_conlat_1(X1,X2,X0))
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl34_327 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f3839,plain,
( spl34_539
| ~ spl34_229
| ~ spl34_267 ),
inference(avatar_split_clause,[],[f1951,f1937,f1687,f3837]) ).
fof(f1951,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_229
| ~ spl34_267 ),
inference(resolution,[],[f1938,f1688]) ).
fof(f3809,plain,
( spl34_538
| ~ spl34_279
| ~ spl34_358 ),
inference(avatar_split_clause,[],[f2625,f2583,f2015,f3806]) ).
fof(f3806,plain,
( spl34_538
<=> k4_relat_1(u3_conlat_1(sK6)) = k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_538])]) ).
fof(f2583,plain,
( spl34_358
<=> v1_relat_1(u3_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_358])]) ).
fof(f2625,plain,
( k4_relat_1(u3_conlat_1(sK6)) = k4_relat_1(k4_relat_1(k4_relat_1(u3_conlat_1(sK6))))
| ~ spl34_279
| ~ spl34_358 ),
inference(resolution,[],[f2585,f2016]) ).
fof(f2585,plain,
( v1_relat_1(u3_conlat_1(sK6))
| ~ spl34_358 ),
inference(avatar_component_clause,[],[f2583]) ).
fof(f3750,plain,
( ~ spl34_523
| spl34_537
| ~ spl34_220
| ~ spl34_306 ),
inference(avatar_split_clause,[],[f2179,f2160,f1616,f3748,f3655]) ).
fof(f3748,plain,
( spl34_537
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u3_conlat_1(sK29) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_537])]) ).
fof(f2160,plain,
( spl34_306
<=> sK29 = g2_conlat_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_306])]) ).
fof(f2179,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u3_conlat_1(sK29) = X2
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29)) )
| ~ spl34_220
| ~ spl34_306 ),
inference(superposition,[],[f1617,f2162]) ).
fof(f2162,plain,
( sK29 = g2_conlat_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29))
| ~ spl34_306 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f3742,plain,
( ~ spl34_523
| spl34_536
| ~ spl34_219
| ~ spl34_306 ),
inference(avatar_split_clause,[],[f2177,f2160,f1612,f3740,f3655]) ).
fof(f3740,plain,
( spl34_536
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u2_conlat_1(sK29) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_536])]) ).
fof(f2177,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u2_conlat_1(sK29) = X1
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29)) )
| ~ spl34_219
| ~ spl34_306 ),
inference(superposition,[],[f1613,f2162]) ).
fof(f3730,plain,
( ~ spl34_18
| ~ spl34_281
| spl34_523 ),
inference(avatar_split_clause,[],[f3662,f3655,f2023,f617]) ).
fof(f3662,plain,
( ~ l2_conlat_1(sK29)
| ~ spl34_281
| spl34_523 ),
inference(resolution,[],[f3657,f2024]) ).
fof(f3657,plain,
( ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29))
| spl34_523 ),
inference(avatar_component_clause,[],[f3655]) ).
fof(f3723,plain,
( spl34_535
| ~ spl34_321
| ~ spl34_353 ),
inference(avatar_split_clause,[],[f2553,f2543,f2296,f3721]) ).
fof(f2543,plain,
( spl34_353
<=> ! [X0] :
( ~ v1_xboole_0(u2_lattices(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_353])]) ).
fof(f2553,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ v1_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_353 ),
inference(duplicate_literal_removal,[],[f2552]) ).
fof(f2552,plain,
( ! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ v1_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l2_lattices(X0)
| ~ l2_lattices(X0) )
| ~ spl34_321
| ~ spl34_353 ),
inference(resolution,[],[f2544,f2297]) ).
fof(f2544,plain,
( ! [X0] :
( ~ m1_relset_1(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_xboole_0(u2_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_353 ),
inference(avatar_component_clause,[],[f2543]) ).
fof(f3719,plain,
( spl34_534
| ~ spl34_320
| ~ spl34_352 ),
inference(avatar_split_clause,[],[f2551,f2539,f2292,f3717]) ).
fof(f2539,plain,
( spl34_352
<=> ! [X0] :
( ~ v1_xboole_0(u1_lattices(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_352])]) ).
fof(f2551,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ v1_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_352 ),
inference(duplicate_literal_removal,[],[f2550]) ).
fof(f2550,plain,
( ! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| ~ v1_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_lattices(X0)
| ~ l1_lattices(X0) )
| ~ spl34_320
| ~ spl34_352 ),
inference(resolution,[],[f2540,f2293]) ).
fof(f2540,plain,
( ! [X0] :
( ~ m1_relset_1(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_xboole_0(u1_lattices(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_352 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f3715,plain,
( spl34_533
| ~ spl34_164
| ~ spl34_350 ),
inference(avatar_split_clause,[],[f2530,f2524,f1280,f3713]) ).
fof(f2524,plain,
( spl34_350
<=> ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_350])]) ).
fof(f2530,plain,
( ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_350 ),
inference(duplicate_literal_removal,[],[f2529]) ).
fof(f2529,plain,
( ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_350 ),
inference(resolution,[],[f2525,f1281]) ).
fof(f2525,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_350 ),
inference(avatar_component_clause,[],[f2524]) ).
fof(f3707,plain,
( ~ spl34_521
| spl34_532
| ~ spl34_220
| ~ spl34_305 ),
inference(avatar_split_clause,[],[f2156,f2146,f1616,f3705,f3646]) ).
fof(f3705,plain,
( spl34_532
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u3_conlat_1(sK28) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_532])]) ).
fof(f2146,plain,
( spl34_305
<=> sK28 = g2_conlat_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_305])]) ).
fof(f2156,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u3_conlat_1(sK28) = X2
| ~ m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28)) )
| ~ spl34_220
| ~ spl34_305 ),
inference(superposition,[],[f1617,f2148]) ).
fof(f2148,plain,
( sK28 = g2_conlat_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28))
| ~ spl34_305 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f3699,plain,
( ~ spl34_521
| spl34_531
| ~ spl34_219
| ~ spl34_305 ),
inference(avatar_split_clause,[],[f2154,f2146,f1612,f3697,f3646]) ).
fof(f3697,plain,
( spl34_531
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u2_conlat_1(sK28) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_531])]) ).
fof(f2154,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u2_conlat_1(sK28) = X1
| ~ m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28)) )
| ~ spl34_219
| ~ spl34_305 ),
inference(superposition,[],[f1613,f2148]) ).
fof(f3687,plain,
( ~ spl34_15
| ~ spl34_281
| spl34_521 ),
inference(avatar_split_clause,[],[f3653,f3646,f2023,f602]) ).
fof(f3653,plain,
( ~ l2_conlat_1(sK28)
| ~ spl34_281
| spl34_521 ),
inference(resolution,[],[f3648,f2024]) ).
fof(f3648,plain,
( ~ m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28))
| spl34_521 ),
inference(avatar_component_clause,[],[f3646]) ).
fof(f3686,plain,
( spl34_530
| ~ spl34_161
| ~ spl34_349 ),
inference(avatar_split_clause,[],[f2528,f2520,f1268,f3684]) ).
fof(f2520,plain,
( spl34_349
<=> ! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_349])]) ).
fof(f2528,plain,
( ! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_349 ),
inference(duplicate_literal_removal,[],[f2527]) ).
fof(f2527,plain,
( ! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_349 ),
inference(resolution,[],[f2521,f1269]) ).
fof(f2521,plain,
( ! [X0] :
( ~ l2_conlat_1(k7_conlat_2(X0))
| k7_conlat_2(X0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_349 ),
inference(avatar_component_clause,[],[f2520]) ).
fof(f3682,plain,
( spl34_529
| ~ spl34_249
| ~ spl34_325 ),
inference(avatar_split_clause,[],[f2359,f2331,f1814,f3680]) ).
fof(f3680,plain,
( spl34_529
<=> ! [X0] :
( ~ v4_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u2_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_529])]) ).
fof(f2359,plain,
( ! [X0] :
( ~ v4_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u2_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_249
| ~ spl34_325 ),
inference(resolution,[],[f2332,f1815]) ).
fof(f3678,plain,
( spl34_528
| ~ spl34_250
| ~ spl34_324 ),
inference(avatar_split_clause,[],[f2351,f2327,f1818,f3676]) ).
fof(f3676,plain,
( spl34_528
<=> ! [X0] :
( ~ v7_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u1_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_528])]) ).
fof(f2351,plain,
( ! [X0] :
( ~ v7_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u1_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_250
| ~ spl34_324 ),
inference(resolution,[],[f2328,f1819]) ).
fof(f3674,plain,
( spl34_527
| ~ spl34_249
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2343,f2323,f1814,f3672]) ).
fof(f3672,plain,
( spl34_527
<=> ! [X0] :
( ~ v5_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u2_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_527])]) ).
fof(f2343,plain,
( ! [X0] :
( ~ v5_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u2_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u2_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_249
| ~ spl34_323 ),
inference(resolution,[],[f2324,f1815]) ).
fof(f3670,plain,
( spl34_526
| ~ spl34_250
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2335,f2319,f1818,f3668]) ).
fof(f3668,plain,
( spl34_526
<=> ! [X0] :
( ~ v6_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u1_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_526])]) ).
fof(f2335,plain,
( ! [X0] :
( ~ v6_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| u1_lattices(k1_lattice2(X0)) = k4_relat_1(k4_relat_1(u1_lattices(k1_lattice2(X0))))
| ~ l3_lattices(X0) )
| ~ spl34_250
| ~ spl34_322 ),
inference(resolution,[],[f2320,f1819]) ).
fof(f3666,plain,
( spl34_525
| ~ spl34_198
| ~ spl34_304 ),
inference(avatar_split_clause,[],[f2263,f2142,f1502,f3664]) ).
fof(f2263,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) )
| ~ spl34_198
| ~ spl34_304 ),
inference(resolution,[],[f2143,f1503]) ).
fof(f3661,plain,
( ~ spl34_523
| spl34_524
| ~ spl34_218
| ~ spl34_306 ),
inference(avatar_split_clause,[],[f2175,f2160,f1608,f3659,f3655]) ).
fof(f2175,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u1_conlat_1(sK29) = X0
| ~ m1_relset_1(u3_conlat_1(sK29),u1_conlat_1(sK29),u2_conlat_1(sK29)) )
| ~ spl34_218
| ~ spl34_306 ),
inference(superposition,[],[f1609,f2162]) ).
fof(f3652,plain,
( ~ spl34_521
| spl34_522
| ~ spl34_218
| ~ spl34_305 ),
inference(avatar_split_clause,[],[f2152,f2146,f1608,f3650,f3646]) ).
fof(f2152,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u1_conlat_1(sK28) = X0
| ~ m1_relset_1(u3_conlat_1(sK28),u1_conlat_1(sK28),u2_conlat_1(sK28)) )
| ~ spl34_218
| ~ spl34_305 ),
inference(superposition,[],[f1609,f2148]) ).
fof(f3644,plain,
( spl34_520
| ~ spl34_208
| ~ spl34_281 ),
inference(avatar_split_clause,[],[f2047,f2023,f1548,f3642]) ).
fof(f2047,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| u3_conlat_1(X0) = k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) )
| ~ spl34_208
| ~ spl34_281 ),
inference(resolution,[],[f2024,f1549]) ).
fof(f3640,plain,
( spl34_519
| ~ spl34_279
| ~ spl34_280 ),
inference(avatar_split_clause,[],[f2045,f2019,f2015,f3638]) ).
fof(f2045,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k4_relat_1(sK7(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1))))) )
| ~ spl34_279
| ~ spl34_280 ),
inference(resolution,[],[f2020,f2016]) ).
fof(f3618,plain,
( spl34_518
| ~ spl34_198
| ~ spl34_321 ),
inference(avatar_split_clause,[],[f2316,f2296,f1502,f3616]) ).
fof(f2316,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| k4_relat_1(u2_lattices(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u2_lattices(X0)) )
| ~ spl34_198
| ~ spl34_321 ),
inference(resolution,[],[f2297,f1503]) ).
fof(f3614,plain,
( spl34_517
| ~ spl34_198
| ~ spl34_320 ),
inference(avatar_split_clause,[],[f2313,f2292,f1502,f3612]) ).
fof(f2313,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| k4_relat_1(u1_lattices(X0)) = k6_relset_1(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0),u1_lattices(X0)) )
| ~ spl34_198
| ~ spl34_320 ),
inference(resolution,[],[f2293,f1503]) ).
fof(f3610,plain,
( spl34_516
| ~ spl34_201
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2301,f2276,f1518,f3608]) ).
fof(f1518,plain,
( spl34_201
<=> ! [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,[spl34_201])]) ).
fof(f2301,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) )
| ~ spl34_201
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1519]) ).
fof(f1519,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) )
| ~ spl34_201 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f3606,plain,
( spl34_515
| ~ spl34_203
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2300,f2276,f1526,f3604]) ).
fof(f1526,plain,
( spl34_203
<=> ! [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,[spl34_203])]) ).
fof(f2300,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) )
| ~ spl34_203
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1527]) ).
fof(f1527,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) )
| ~ spl34_203 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f3570,plain,
( spl34_514
| ~ spl34_74
| ~ spl34_344 ),
inference(avatar_split_clause,[],[f2507,f2487,f888,f3568]) ).
fof(f2487,plain,
( spl34_344
<=> ! [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,[spl34_344])]) ).
fof(f2507,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) )
| ~ spl34_74
| ~ spl34_344 ),
inference(duplicate_literal_removal,[],[f2506]) ).
fof(f2506,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) )
| ~ spl34_74
| ~ spl34_344 ),
inference(resolution,[],[f2488,f889]) ).
fof(f2488,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) )
| ~ spl34_344 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f3565,plain,
( spl34_512
| ~ spl34_513
| ~ spl34_306
| ~ spl34_389 ),
inference(avatar_split_clause,[],[f2801,f2795,f2160,f3562,f3558]) ).
fof(f3558,plain,
( spl34_512
<=> u1_conlat_1(sK29) = u2_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_512])]) ).
fof(f3562,plain,
( spl34_513
<=> k7_conlat_2(sK6) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_513])]) ).
fof(f2801,plain,
( k7_conlat_2(sK6) != sK29
| u1_conlat_1(sK29) = u2_conlat_1(sK6)
| ~ spl34_306
| ~ spl34_389 ),
inference(superposition,[],[f2796,f2162]) ).
fof(f3556,plain,
( ~ spl34_505
| spl34_511
| ~ spl34_282
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2462,f2450,f2027,f3553,f3523]) ).
fof(f2027,plain,
( spl34_282
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| l1_conlat_1(g2_conlat_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_282])]) ).
fof(f2462,plain,
( l1_conlat_1(k7_conlat_2(sK28))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_282
| ~ spl34_338 ),
inference(superposition,[],[f2028,f2452]) ).
fof(f2028,plain,
( ! [X2,X0,X1] :
( l1_conlat_1(g2_conlat_1(X1,X2,X0))
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl34_282 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f3551,plain,
( spl34_510
| ~ spl34_219
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2459,f2450,f1612,f3549]) ).
fof(f3549,plain,
( spl34_510
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u1_conlat_1(sK28) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_510])]) ).
fof(f2459,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u1_conlat_1(sK28) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_338 ),
inference(superposition,[],[f1613,f2452]) ).
fof(f3547,plain,
( spl34_509
| ~ spl34_218
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2457,f2450,f1608,f3545]) ).
fof(f2457,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK28)
| u2_conlat_1(sK28) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_338 ),
inference(superposition,[],[f1609,f2452]) ).
fof(f3542,plain,
( ~ spl34_505
| spl34_508
| ~ spl34_188
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2455,f2450,f1424,f3539,f3523]) ).
fof(f2455,plain,
( l2_conlat_1(k7_conlat_2(sK28))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_188
| ~ spl34_338 ),
inference(superposition,[],[f1425,f2452]) ).
fof(f3537,plain,
( ~ spl34_507
| ~ spl34_15
| ~ spl34_470
| spl34_505 ),
inference(avatar_split_clause,[],[f3531,f3523,f3284,f602,f3534]) ).
fof(f3531,plain,
( ~ m1_relset_1(k4_relat_1(u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_15
| ~ spl34_470
| spl34_505 ),
inference(forward_demodulation,[],[f3525,f3361]) ).
fof(f3525,plain,
( ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| spl34_505 ),
inference(avatar_component_clause,[],[f3523]) ).
fof(f3530,plain,
( ~ spl34_505
| spl34_506
| ~ spl34_186
| ~ spl34_338 ),
inference(avatar_split_clause,[],[f2454,f2450,f1415,f3527,f3523]) ).
fof(f2454,plain,
( v4_conlat_1(k7_conlat_2(sK28))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)),u2_conlat_1(sK28),u1_conlat_1(sK28))
| ~ spl34_186
| ~ spl34_338 ),
inference(superposition,[],[f1416,f2452]) ).
fof(f3521,plain,
( spl34_504
| ~ spl34_144
| ~ spl34_336 ),
inference(avatar_split_clause,[],[f2443,f2438,f1186,f3519]) ).
fof(f2443,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) )
| ~ spl34_144
| ~ spl34_336 ),
inference(resolution,[],[f2439,f1187]) ).
fof(f3517,plain,
( spl34_503
| ~ spl34_199
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2303,f2276,f1506,f3515]) ).
fof(f2303,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) )
| ~ spl34_199
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1507]) ).
fof(f3513,plain,
( spl34_502
| ~ spl34_201
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2252,f2126,f1518,f3511]) ).
fof(f2252,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) )
| ~ spl34_201
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1519]) ).
fof(f3509,plain,
( spl34_501
| ~ spl34_203
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2251,f2126,f1526,f3507]) ).
fof(f2251,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) )
| ~ spl34_203
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1527]) ).
fof(f3505,plain,
( spl34_500
| ~ spl34_154
| ~ spl34_280 ),
inference(avatar_split_clause,[],[f2046,f2019,f1240,f3503]) ).
fof(f2046,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK7(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK7(k2_zfmisc_1(X0,X1)))) )
| ~ spl34_154
| ~ spl34_280 ),
inference(resolution,[],[f2020,f1241]) ).
fof(f3460,plain,
( spl34_499
| ~ spl34_144
| ~ spl34_332 ),
inference(avatar_split_clause,[],[f2425,f2392,f1186,f3458]) ).
fof(f3458,plain,
( spl34_499
<=> ! [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)),sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_499])]) ).
fof(f2392,plain,
( spl34_332
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK10(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_332])]) ).
fof(f2425,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)),sK10(X0)) )
| ~ spl34_144
| ~ spl34_332 ),
inference(resolution,[],[f2393,f1187]) ).
fof(f2393,plain,
( ! [X0] :
( r2_hidden(sK10(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) )
| ~ spl34_332 ),
inference(avatar_component_clause,[],[f2392]) ).
fof(f3456,plain,
( spl34_498
| ~ spl34_144
| ~ spl34_331 ),
inference(avatar_split_clause,[],[f2422,f2388,f1186,f3454]) ).
fof(f3454,plain,
( spl34_498
<=> ! [X0] :
( v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_conlat_1(X0)),sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_498])]) ).
fof(f2388,plain,
( spl34_331
<=> ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u1_conlat_1(X0)))
| r2_hidden(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_331])]) ).
fof(f2422,plain,
( ! [X0] :
( v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_conlat_1(X0)),sK9(X0)) )
| ~ spl34_144
| ~ spl34_331 ),
inference(resolution,[],[f2389,f1187]) ).
fof(f2389,plain,
( ! [X0] :
( r2_hidden(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0)))
| v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l1_conlat_1(X0) )
| ~ spl34_331 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f3452,plain,
( spl34_497
| ~ spl34_144
| ~ spl34_330 ),
inference(avatar_split_clause,[],[f2419,f2384,f1186,f3450]) ).
fof(f3450,plain,
( spl34_497
<=> ! [X0] :
( v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| ~ r2_hidden(k1_zfmisc_1(u2_conlat_1(X0)),sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_497])]) ).
fof(f2384,plain,
( spl34_330
<=> ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u2_conlat_1(X0)))
| r2_hidden(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_330])]) ).
fof(f2419,plain,
( ! [X0] :
( v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| ~ r2_hidden(k1_zfmisc_1(u2_conlat_1(X0)),sK8(X0)) )
| ~ spl34_144
| ~ spl34_330 ),
inference(resolution,[],[f2385,f1187]) ).
fof(f2385,plain,
( ! [X0] :
( r2_hidden(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0)))
| v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l1_conlat_1(X0) )
| ~ spl34_330 ),
inference(avatar_component_clause,[],[f2384]) ).
fof(f3448,plain,
( spl34_496
| ~ spl34_199
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2254,f2126,f1506,f3446]) ).
fof(f2254,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k6_relset_1(X1,X0,X3))
| ~ m1_relset_1(X3,X1,X0) )
| ~ spl34_199
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1507]) ).
fof(f3444,plain,
( spl34_495
| ~ spl34_220
| ~ spl34_306 ),
inference(avatar_split_clause,[],[f2180,f2160,f1616,f3442]) ).
fof(f3442,plain,
( spl34_495
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u3_conlat_1(sK29) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_495])]) ).
fof(f2180,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u3_conlat_1(sK29) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_306 ),
inference(superposition,[],[f1617,f2162]) ).
fof(f3440,plain,
( spl34_494
| ~ spl34_219
| ~ spl34_306 ),
inference(avatar_split_clause,[],[f2178,f2160,f1612,f3438]) ).
fof(f3438,plain,
( spl34_494
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u2_conlat_1(sK29) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_494])]) ).
fof(f2178,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u2_conlat_1(sK29) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_306 ),
inference(superposition,[],[f1613,f2162]) ).
fof(f3436,plain,
( spl34_492
| ~ spl34_493
| ~ spl34_305
| ~ spl34_389 ),
inference(avatar_split_clause,[],[f2800,f2795,f2146,f3433,f3429]) ).
fof(f3429,plain,
( spl34_492
<=> u1_conlat_1(sK28) = u2_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_492])]) ).
fof(f3433,plain,
( spl34_493
<=> k7_conlat_2(sK6) = sK28 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_493])]) ).
fof(f2800,plain,
( k7_conlat_2(sK6) != sK28
| u1_conlat_1(sK28) = u2_conlat_1(sK6)
| ~ spl34_305
| ~ spl34_389 ),
inference(superposition,[],[f2796,f2148]) ).
fof(f3427,plain,
( spl34_491
| ~ spl34_218
| ~ spl34_306 ),
inference(avatar_split_clause,[],[f2176,f2160,f1608,f3425]) ).
fof(f3425,plain,
( spl34_491
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u1_conlat_1(sK29) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_491])]) ).
fof(f2176,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK29
| u1_conlat_1(sK29) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_306 ),
inference(superposition,[],[f1609,f2162]) ).
fof(f3423,plain,
( spl34_490
| ~ spl34_220
| ~ spl34_305 ),
inference(avatar_split_clause,[],[f2157,f2146,f1616,f3421]) ).
fof(f3421,plain,
( spl34_490
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u3_conlat_1(sK28) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_490])]) ).
fof(f2157,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u3_conlat_1(sK28) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_305 ),
inference(superposition,[],[f1617,f2148]) ).
fof(f3419,plain,
( spl34_489
| ~ spl34_219
| ~ spl34_305 ),
inference(avatar_split_clause,[],[f2155,f2146,f1612,f3417]) ).
fof(f3417,plain,
( spl34_489
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u2_conlat_1(sK28) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_489])]) ).
fof(f2155,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u2_conlat_1(sK28) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_305 ),
inference(superposition,[],[f1613,f2148]) ).
fof(f3415,plain,
( spl34_488
| ~ spl34_218
| ~ spl34_305 ),
inference(avatar_split_clause,[],[f2153,f2146,f1608,f3413]) ).
fof(f3413,plain,
( spl34_488
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u1_conlat_1(sK28) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_488])]) ).
fof(f2153,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != sK28
| u1_conlat_1(sK28) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_305 ),
inference(superposition,[],[f1609,f2148]) ).
fof(f3367,plain,
( spl34_487
| ~ spl34_179
| ~ spl34_457 ),
inference(avatar_split_clause,[],[f3235,f3184,f1355,f3364]) ).
fof(f3364,plain,
( spl34_487
<=> m1_relset_1(k4_relat_1(u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_487])]) ).
fof(f1355,plain,
( spl34_179
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_179])]) ).
fof(f3235,plain,
( m1_relset_1(k4_relat_1(u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_179
| ~ spl34_457 ),
inference(resolution,[],[f3186,f1356]) ).
fof(f1356,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl34_179 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f3354,plain,
( spl34_486
| ~ spl34_260
| ~ spl34_319 ),
inference(avatar_split_clause,[],[f2310,f2288,f1908,f3352]) ).
fof(f2288,plain,
( spl34_319
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK10(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_319])]) ).
fof(f2310,plain,
( ! [X0] :
( m1_subset_1(sK12(sK10(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK10(X0)) )
| ~ spl34_260
| ~ spl34_319 ),
inference(resolution,[],[f2289,f1909]) ).
fof(f2289,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK10(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl34_319 ),
inference(avatar_component_clause,[],[f2288]) ).
fof(f3350,plain,
( spl34_485
| ~ spl34_260
| ~ spl34_318 ),
inference(avatar_split_clause,[],[f2309,f2284,f1908,f3348]) ).
fof(f2284,plain,
( spl34_318
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_conlat_1(X1))
| ~ r2_hidden(X0,sK9(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_318])]) ).
fof(f2309,plain,
( ! [X0] :
( m1_subset_1(sK12(sK9(X0)),u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK9(X0)) )
| ~ spl34_260
| ~ spl34_318 ),
inference(resolution,[],[f2285,f1909]) ).
fof(f2285,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK9(X1))
| m1_subset_1(X0,u1_conlat_1(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) )
| ~ spl34_318 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f3346,plain,
( spl34_484
| ~ spl34_260
| ~ spl34_317 ),
inference(avatar_split_clause,[],[f2308,f2280,f1908,f3344]) ).
fof(f2280,plain,
( spl34_317
<=> ! [X0,X1] :
( m1_subset_1(X0,u2_conlat_1(X1))
| ~ r2_hidden(X0,sK8(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_317])]) ).
fof(f2308,plain,
( ! [X0] :
( m1_subset_1(sK12(sK8(X0)),u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(sK8(X0)) )
| ~ spl34_260
| ~ spl34_317 ),
inference(resolution,[],[f2281,f1909]) ).
fof(f2281,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK8(X1))
| m1_subset_1(X0,u2_conlat_1(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) )
| ~ spl34_317 ),
inference(avatar_component_clause,[],[f2280]) ).
fof(f3342,plain,
( spl34_483
| ~ spl34_181
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2302,f2276,f1395,f3340]) ).
fof(f1395,plain,
( spl34_181
<=> ! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_181])]) ).
fof(f2302,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u3_conlat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_conlat_1(X1),u2_conlat_1(X1)))
| ~ l2_conlat_1(X1) )
| ~ spl34_181
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1396]) ).
fof(f1396,plain,
( ! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_181 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f3338,plain,
( spl34_482
| ~ spl34_199
| ~ spl34_315 ),
inference(avatar_split_clause,[],[f2273,f2236,f1506,f3336]) ).
fof(f2273,plain,
( ! [X0,X1] :
( m2_relset_1(sK18(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) )
| ~ spl34_199
| ~ spl34_315 ),
inference(superposition,[],[f1507,f2237]) ).
fof(f3334,plain,
( spl34_481
| ~ spl34_304
| ~ spl34_315 ),
inference(avatar_split_clause,[],[f2272,f2236,f2142,f3332]) ).
fof(f2272,plain,
( ! [X0,X1] :
( m1_relset_1(sK18(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK18(X0,X1)),X0,X1) )
| ~ spl34_304
| ~ spl34_315 ),
inference(superposition,[],[f2143,f2237]) ).
fof(f3330,plain,
( spl34_480
| ~ spl34_199
| ~ spl34_314 ),
inference(avatar_split_clause,[],[f2271,f2232,f1506,f3328]) ).
fof(f2271,plain,
( ! [X0,X1] :
( m2_relset_1(sK17(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) )
| ~ spl34_199
| ~ spl34_314 ),
inference(superposition,[],[f1507,f2233]) ).
fof(f3326,plain,
( spl34_479
| ~ spl34_304
| ~ spl34_314 ),
inference(avatar_split_clause,[],[f2270,f2232,f2142,f3324]) ).
fof(f2270,plain,
( ! [X0,X1] :
( m1_relset_1(sK17(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK17(X0,X1)),X0,X1) )
| ~ spl34_304
| ~ spl34_314 ),
inference(superposition,[],[f2143,f2233]) ).
fof(f3318,plain,
( spl34_478
| ~ spl34_199
| ~ spl34_313 ),
inference(avatar_split_clause,[],[f2269,f2227,f1506,f3316]) ).
fof(f2269,plain,
( ! [X0,X1] :
( m2_relset_1(sK15(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) )
| ~ spl34_199
| ~ spl34_313 ),
inference(superposition,[],[f1507,f2228]) ).
fof(f3314,plain,
( spl34_477
| ~ spl34_304
| ~ spl34_313 ),
inference(avatar_split_clause,[],[f2268,f2227,f2142,f3312]) ).
fof(f2268,plain,
( ! [X0,X1] :
( m1_relset_1(sK15(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK15(X0,X1)),X0,X1) )
| ~ spl34_304
| ~ spl34_313 ),
inference(superposition,[],[f2143,f2228]) ).
fof(f3310,plain,
( spl34_476
| ~ spl34_303
| ~ spl34_304 ),
inference(avatar_split_clause,[],[f2267,f2142,f2138,f3308]) ).
fof(f2267,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0)
| ~ m1_relset_1(sK18(X0,X1),X0,X1) )
| ~ spl34_303
| ~ spl34_304 ),
inference(superposition,[],[f2143,f2139]) ).
fof(f3306,plain,
( spl34_475
| ~ spl34_302
| ~ spl34_304 ),
inference(avatar_split_clause,[],[f2266,f2142,f2134,f3304]) ).
fof(f2266,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK17(X0,X1)),X1,X0)
| ~ m1_relset_1(sK17(X0,X1),X0,X1) )
| ~ spl34_302
| ~ spl34_304 ),
inference(superposition,[],[f2143,f2135]) ).
fof(f3302,plain,
( spl34_474
| ~ spl34_301
| ~ spl34_304 ),
inference(avatar_split_clause,[],[f2265,f2142,f2130,f3300]) ).
fof(f2265,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK15(X0,X1)),X1,X0)
| ~ m1_relset_1(sK15(X0,X1),X0,X1) )
| ~ spl34_301
| ~ spl34_304 ),
inference(superposition,[],[f2143,f2131]) ).
fof(f3298,plain,
( spl34_473
| ~ spl34_199
| ~ spl34_303 ),
inference(avatar_split_clause,[],[f2261,f2138,f1506,f3296]) ).
fof(f2261,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK18(X0,X1)),X1,X0)
| ~ m1_relset_1(sK18(X0,X1),X0,X1) )
| ~ spl34_199
| ~ spl34_303 ),
inference(superposition,[],[f1507,f2139]) ).
fof(f3294,plain,
( spl34_472
| ~ spl34_199
| ~ spl34_302 ),
inference(avatar_split_clause,[],[f2260,f2134,f1506,f3292]) ).
fof(f2260,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK17(X0,X1)),X1,X0)
| ~ m1_relset_1(sK17(X0,X1),X0,X1) )
| ~ spl34_199
| ~ spl34_302 ),
inference(superposition,[],[f1507,f2135]) ).
fof(f3290,plain,
( spl34_471
| ~ spl34_199
| ~ spl34_301 ),
inference(avatar_split_clause,[],[f2259,f2130,f1506,f3288]) ).
fof(f2259,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK15(X0,X1)),X1,X0)
| ~ m1_relset_1(sK15(X0,X1),X0,X1) )
| ~ spl34_199
| ~ spl34_301 ),
inference(superposition,[],[f1507,f2131]) ).
fof(f3286,plain,
( spl34_470
| ~ spl34_198
| ~ spl34_281 ),
inference(avatar_split_clause,[],[f2048,f2023,f1502,f3284]) ).
fof(f2048,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = k4_relat_1(u3_conlat_1(X0)) )
| ~ spl34_198
| ~ spl34_281 ),
inference(resolution,[],[f2024,f1503]) ).
fof(f3279,plain,
( spl34_469
| ~ spl34_267
| ~ spl34_457 ),
inference(avatar_split_clause,[],[f3234,f3184,f1937,f3276]) ).
fof(f3276,plain,
( spl34_469
<=> v1_relat_1(k4_relat_1(u3_conlat_1(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_469])]) ).
fof(f3234,plain,
( v1_relat_1(k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_267
| ~ spl34_457 ),
inference(resolution,[],[f3186,f1938]) ).
fof(f3274,plain,
( spl34_468
| ~ spl34_417
| ~ spl34_467 ),
inference(avatar_split_clause,[],[f3270,f3267,f2973,f3272]) ).
fof(f3267,plain,
( spl34_467
<=> ! [X0,X1] : sK16(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK16(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_467])]) ).
fof(f3270,plain,
( ! [X0,X1] : sK16(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK16(X0,X1)))
| ~ spl34_417
| ~ spl34_467 ),
inference(forward_demodulation,[],[f3268,f2974]) ).
fof(f3268,plain,
( ! [X0,X1] : sK16(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK16(X0,X1)))
| ~ spl34_467 ),
inference(avatar_component_clause,[],[f3267]) ).
fof(f3269,plain,
( spl34_467
| ~ spl34_208
| ~ spl34_262 ),
inference(avatar_split_clause,[],[f1945,f1916,f1548,f3267]) ).
fof(f1945,plain,
( ! [X0,X1] : sK16(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK16(X0,X1)))
| ~ spl34_208
| ~ spl34_262 ),
inference(resolution,[],[f1917,f1549]) ).
fof(f3265,plain,
( spl34_466
| ~ spl34_154
| ~ spl34_261 ),
inference(avatar_split_clause,[],[f1944,f1912,f1240,f3263]) ).
fof(f3263,plain,
( spl34_466
<=> ! [X0,X1] : sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_466])]) ).
fof(f1912,plain,
( spl34_261
<=> ! [X0,X1] : v1_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_261])]) ).
fof(f1944,plain,
( ! [X0,X1] : sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ spl34_154
| ~ spl34_261 ),
inference(resolution,[],[f1913,f1241]) ).
fof(f1913,plain,
( ! [X0,X1] : v1_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl34_261 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f3219,plain,
( spl34_465
| ~ spl34_150
| ~ spl34_346 ),
inference(avatar_split_clause,[],[f2509,f2498,f1211,f3217]) ).
fof(f3217,plain,
( spl34_465
<=> ! [X0,X1] :
( ~ v1_funct_1(sK18(X0,X1))
| ~ v1_xboole_0(sK18(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_465])]) ).
fof(f2498,plain,
( spl34_346
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK18(X0,X1))
| ~ v1_funct_1(sK18(X0,X1))
| ~ m1_relset_1(sK18(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_346])]) ).
fof(f2509,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK18(X0,X1))
| ~ v1_xboole_0(sK18(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl34_150
| ~ spl34_346 ),
inference(resolution,[],[f2499,f1212]) ).
fof(f2499,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ v1_funct_1(sK18(X0,X1))
| ~ v1_xboole_0(sK18(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl34_346 ),
inference(avatar_component_clause,[],[f2498]) ).
fof(f3215,plain,
( spl34_464
| ~ spl34_150
| ~ spl34_345 ),
inference(avatar_split_clause,[],[f2508,f2494,f1211,f3213]) ).
fof(f3213,plain,
( spl34_464
<=> ! [X0,X1] :
( ~ v1_funct_1(sK18(X0,X1))
| v1_partfun1(sK18(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_464])]) ).
fof(f2494,plain,
( spl34_345
<=> ! [X0,X1] :
( v1_partfun1(sK18(X0,X1),X0,X1)
| ~ v1_funct_1(sK18(X0,X1))
| ~ m1_relset_1(sK18(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_345])]) ).
fof(f2508,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK18(X0,X1))
| v1_partfun1(sK18(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl34_150
| ~ spl34_345 ),
inference(resolution,[],[f2495,f1212]) ).
fof(f2495,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(X0,X1),X0,X1)
| ~ v1_funct_1(sK18(X0,X1))
| v1_partfun1(sK18(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl34_345 ),
inference(avatar_component_clause,[],[f2494]) ).
fof(f3211,plain,
( spl34_463
| ~ spl34_181
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2253,f2126,f1395,f3209]) ).
fof(f2253,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_conlat_1(X0),u2_conlat_1(X0)))
| ~ r2_hidden(X1,u3_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_181
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1396]) ).
fof(f3207,plain,
( spl34_462
| ~ spl34_164
| ~ spl34_297 ),
inference(avatar_split_clause,[],[f2246,f2114,f1280,f3205]) ).
fof(f2114,plain,
( spl34_297
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_297])]) ).
fof(f2246,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_297 ),
inference(resolution,[],[f2115,f1281]) ).
fof(f2115,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP1(X0) )
| ~ spl34_297 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f3203,plain,
( spl34_461
| ~ spl34_164
| ~ spl34_296 ),
inference(avatar_split_clause,[],[f2245,f2110,f1280,f3201]) ).
fof(f2110,plain,
( spl34_296
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_296])]) ).
fof(f2245,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_296 ),
inference(resolution,[],[f2111,f1281]) ).
fof(f2111,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_296 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f3199,plain,
( spl34_460
| ~ spl34_164
| ~ spl34_295 ),
inference(avatar_split_clause,[],[f2244,f2106,f1280,f3197]) ).
fof(f2106,plain,
( spl34_295
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_295])]) ).
fof(f2244,plain,
( ! [X0] :
( sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_295 ),
inference(resolution,[],[f2107,f1281]) ).
fof(f2107,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_295 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f3195,plain,
( spl34_459
| ~ spl34_164
| ~ spl34_292 ),
inference(avatar_split_clause,[],[f2241,f2094,f1280,f3193]) ).
fof(f2094,plain,
( spl34_292
<=> ! [X0] :
( sP0(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_292])]) ).
fof(f2241,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_292 ),
inference(resolution,[],[f2095,f1281]) ).
fof(f2095,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP1(X0) )
| ~ spl34_292 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f3191,plain,
( spl34_458
| ~ spl34_164
| ~ spl34_291 ),
inference(avatar_split_clause,[],[f2240,f2090,f1280,f3189]) ).
fof(f2090,plain,
( spl34_291
<=> ! [X0] :
( sP0(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_291])]) ).
fof(f2240,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_291 ),
inference(resolution,[],[f2091,f1281]) ).
fof(f2091,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_291 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f3187,plain,
( spl34_457
| ~ spl34_180
| ~ spl34_198
| ~ spl34_307
| ~ spl34_326 ),
inference(avatar_split_clause,[],[f2694,f2367,f2165,f1502,f1359,f3184]) ).
fof(f2694,plain,
( m2_relset_1(k4_relat_1(u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_180
| ~ spl34_198
| ~ spl34_307
| ~ spl34_326 ),
inference(forward_demodulation,[],[f2690,f2491]) ).
fof(f2690,plain,
( m2_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_180
| ~ spl34_307 ),
inference(resolution,[],[f2166,f1360]) ).
fof(f3182,plain,
( spl34_456
| ~ spl34_164
| ~ spl34_290 ),
inference(avatar_split_clause,[],[f2239,f2086,f1280,f3180]) ).
fof(f2086,plain,
( spl34_290
<=> ! [X0] :
( sP0(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_290])]) ).
fof(f2239,plain,
( ! [X0] :
( v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_164
| ~ spl34_290 ),
inference(resolution,[],[f2087,f1281]) ).
fof(f2087,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| sP0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_290 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f3154,plain,
( spl34_455
| ~ spl34_120
| ~ spl34_335 ),
inference(avatar_split_clause,[],[f2436,f2404,f1076,f3152]) ).
fof(f2404,plain,
( spl34_335
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP4(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_335])]) ).
fof(f2436,plain,
( ! [X0] :
( sP4(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_120
| ~ spl34_335 ),
inference(duplicate_literal_removal,[],[f2435]) ).
fof(f2435,plain,
( ! [X0] :
( sP4(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ sP4(X0) )
| ~ spl34_120
| ~ spl34_335 ),
inference(resolution,[],[f2405,f1077]) ).
fof(f2405,plain,
( ! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| sP4(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_335 ),
inference(avatar_component_clause,[],[f2404]) ).
fof(f3150,plain,
( spl34_454
| ~ spl34_95
| ~ spl34_334 ),
inference(avatar_split_clause,[],[f2433,f2400,f974,f3148]) ).
fof(f2400,plain,
( spl34_334
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ v10_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_334])]) ).
fof(f2433,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_95
| ~ spl34_334 ),
inference(duplicate_literal_removal,[],[f2431]) ).
fof(f2431,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0)
| ~ sP2(X0) )
| ~ spl34_95
| ~ spl34_334 ),
inference(resolution,[],[f2401,f975]) ).
fof(f2401,plain,
( ! [X0] :
( ~ v10_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_334 ),
inference(avatar_component_clause,[],[f2400]) ).
fof(f3146,plain,
( spl34_453
| ~ spl34_106
| ~ spl34_333 ),
inference(avatar_split_clause,[],[f2429,f2396,f1019,f3144]) ).
fof(f2396,plain,
( spl34_333
<=> ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ v10_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_333])]) ).
fof(f2429,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_106
| ~ spl34_333 ),
inference(duplicate_literal_removal,[],[f2426]) ).
fof(f2426,plain,
( ! [X0] :
( sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0)
| ~ sP3(X0) )
| ~ spl34_106
| ~ spl34_333 ),
inference(resolution,[],[f2397,f1020]) ).
fof(f2397,plain,
( ! [X0] :
( ~ v10_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_333 ),
inference(avatar_component_clause,[],[f2396]) ).
fof(f3141,plain,
( spl34_443
| spl34_431
| ~ spl34_452
| ~ spl34_190
| ~ spl34_325 ),
inference(avatar_split_clause,[],[f2365,f2331,f1446,f3138,f3037,f3094]) ).
fof(f3037,plain,
( spl34_431
<=> v3_struct_0(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_431])]) ).
fof(f3138,plain,
( spl34_452
<=> v4_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_452])]) ).
fof(f2365,plain,
( ~ v4_lattices(sK33)
| v3_struct_0(sK33)
| u2_lattices(sK33) = k4_relat_1(k4_relat_1(u2_lattices(sK33)))
| ~ spl34_190
| ~ spl34_325 ),
inference(resolution,[],[f2332,f1448]) ).
fof(f3136,plain,
( spl34_438
| spl34_21
| ~ spl34_451
| ~ spl34_140
| ~ spl34_325 ),
inference(avatar_split_clause,[],[f2362,f2331,f1169,f3133,f632,f3068]) ).
fof(f632,plain,
( spl34_21
<=> v3_struct_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_21])]) ).
fof(f3133,plain,
( spl34_451
<=> v4_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_451])]) ).
fof(f2362,plain,
( ~ v4_lattices(sK30)
| v3_struct_0(sK30)
| u2_lattices(sK30) = k4_relat_1(k4_relat_1(u2_lattices(sK30)))
| ~ spl34_140
| ~ spl34_325 ),
inference(resolution,[],[f2332,f1171]) ).
fof(f3131,plain,
( spl34_436
| spl34_423
| ~ spl34_450
| ~ spl34_139
| ~ spl34_325 ),
inference(avatar_split_clause,[],[f2361,f2331,f1164,f3128,f2998,f3059]) ).
fof(f2998,plain,
( spl34_423
<=> v3_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_423])]) ).
fof(f3128,plain,
( spl34_450
<=> v4_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_450])]) ).
fof(f2361,plain,
( ~ v4_lattices(sK25)
| v3_struct_0(sK25)
| u2_lattices(sK25) = k4_relat_1(k4_relat_1(u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_325 ),
inference(resolution,[],[f2332,f1166]) ).
fof(f3126,plain,
( spl34_433
| spl34_434
| ~ spl34_449
| ~ spl34_8
| ~ spl34_325 ),
inference(avatar_split_clause,[],[f2360,f2331,f567,f3123,f3050,f3046]) ).
fof(f3050,plain,
( spl34_434
<=> v3_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_434])]) ).
fof(f3123,plain,
( spl34_449
<=> v4_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_449])]) ).
fof(f2360,plain,
( ~ v4_lattices(sK22)
| v3_struct_0(sK22)
| u2_lattices(sK22) = k4_relat_1(k4_relat_1(u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_325 ),
inference(resolution,[],[f2332,f569]) ).
fof(f3121,plain,
( spl34_430
| spl34_431
| ~ spl34_448
| ~ spl34_138
| ~ spl34_324 ),
inference(avatar_split_clause,[],[f2357,f2327,f1159,f3118,f3037,f3033]) ).
fof(f3118,plain,
( spl34_448
<=> v7_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_448])]) ).
fof(f2357,plain,
( ~ v7_lattices(sK33)
| v3_struct_0(sK33)
| u1_lattices(sK33) = k4_relat_1(k4_relat_1(u1_lattices(sK33)))
| ~ spl34_138
| ~ spl34_324 ),
inference(resolution,[],[f2328,f1161]) ).
fof(f3116,plain,
( spl34_425
| spl34_21
| ~ spl34_447
| ~ spl34_135
| ~ spl34_324 ),
inference(avatar_split_clause,[],[f2354,f2327,f1144,f3113,f632,f3007]) ).
fof(f3113,plain,
( spl34_447
<=> v7_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_447])]) ).
fof(f2354,plain,
( ~ v7_lattices(sK30)
| v3_struct_0(sK30)
| u1_lattices(sK30) = k4_relat_1(k4_relat_1(u1_lattices(sK30)))
| ~ spl34_135
| ~ spl34_324 ),
inference(resolution,[],[f2328,f1146]) ).
fof(f3111,plain,
( spl34_422
| spl34_423
| ~ spl34_446
| ~ spl34_132
| ~ spl34_324 ),
inference(avatar_split_clause,[],[f2353,f2327,f1125,f3108,f2998,f2994]) ).
fof(f3108,plain,
( spl34_446
<=> v7_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_446])]) ).
fof(f2353,plain,
( ~ v7_lattices(sK25)
| v3_struct_0(sK25)
| u1_lattices(sK25) = k4_relat_1(k4_relat_1(u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_324 ),
inference(resolution,[],[f2328,f1127]) ).
fof(f3106,plain,
( spl34_419
| spl34_420
| ~ spl34_445
| ~ spl34_7
| ~ spl34_324 ),
inference(avatar_split_clause,[],[f2352,f2327,f562,f3103,f2985,f2981]) ).
fof(f2985,plain,
( spl34_420
<=> v3_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_420])]) ).
fof(f3103,plain,
( spl34_445
<=> v7_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_445])]) ).
fof(f2352,plain,
( ~ v7_lattices(sK21)
| v3_struct_0(sK21)
| u1_lattices(sK21) = k4_relat_1(k4_relat_1(u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_324 ),
inference(resolution,[],[f2328,f564]) ).
fof(f3101,plain,
( spl34_443
| spl34_431
| ~ spl34_444
| ~ spl34_190
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2349,f2323,f1446,f3098,f3037,f3094]) ).
fof(f3098,plain,
( spl34_444
<=> v5_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_444])]) ).
fof(f2349,plain,
( ~ v5_lattices(sK33)
| v3_struct_0(sK33)
| u2_lattices(sK33) = k4_relat_1(k4_relat_1(u2_lattices(sK33)))
| ~ spl34_190
| ~ spl34_323 ),
inference(resolution,[],[f2324,f1448]) ).
fof(f3091,plain,
( spl34_442
| spl34_34
| ~ spl34_37
| ~ spl34_187
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2348,f2323,f1419,f712,f697,f3088]) ).
fof(f697,plain,
( spl34_34
<=> v3_struct_0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_34])]) ).
fof(f712,plain,
( spl34_37
<=> v5_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_37])]) ).
fof(f2348,plain,
( ~ v5_lattices(sK32)
| v3_struct_0(sK32)
| u2_lattices(sK32) = k4_relat_1(k4_relat_1(u2_lattices(sK32)))
| ~ spl34_187
| ~ spl34_323 ),
inference(resolution,[],[f2324,f1421]) ).
fof(f3086,plain,
( spl34_392
| spl34_441
| ~ spl34_141
| ~ spl34_374 ),
inference(avatar_split_clause,[],[f2703,f2696,f1174,f3083,f2815]) ).
fof(f3083,plain,
( spl34_441
<=> sP1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_441])]) ).
fof(f2703,plain,
( sP1(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_141
| ~ spl34_374 ),
inference(resolution,[],[f2698,f1175]) ).
fof(f3080,plain,
( spl34_440
| spl34_24
| ~ spl34_27
| ~ spl34_149
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2347,f2323,f1206,f662,f647,f3077]) ).
fof(f647,plain,
( spl34_24
<=> v3_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_24])]) ).
fof(f662,plain,
( spl34_27
<=> v5_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_27])]) ).
fof(f2347,plain,
( ~ v5_lattices(sK31)
| v3_struct_0(sK31)
| u2_lattices(sK31) = k4_relat_1(k4_relat_1(u2_lattices(sK31)))
| ~ spl34_149
| ~ spl34_323 ),
inference(resolution,[],[f2324,f1208]) ).
fof(f3075,plain,
( spl34_438
| spl34_21
| ~ spl34_439
| ~ spl34_140
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2346,f2323,f1169,f3072,f632,f3068]) ).
fof(f3072,plain,
( spl34_439
<=> v5_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_439])]) ).
fof(f2346,plain,
( ~ v5_lattices(sK30)
| v3_struct_0(sK30)
| u2_lattices(sK30) = k4_relat_1(k4_relat_1(u2_lattices(sK30)))
| ~ spl34_140
| ~ spl34_323 ),
inference(resolution,[],[f2324,f1171]) ).
fof(f3066,plain,
( spl34_436
| spl34_423
| ~ spl34_437
| ~ spl34_139
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2345,f2323,f1164,f3063,f2998,f3059]) ).
fof(f3063,plain,
( spl34_437
<=> v5_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_437])]) ).
fof(f2345,plain,
( ~ v5_lattices(sK25)
| v3_struct_0(sK25)
| u2_lattices(sK25) = k4_relat_1(k4_relat_1(u2_lattices(sK25)))
| ~ spl34_139
| ~ spl34_323 ),
inference(resolution,[],[f2324,f1166]) ).
fof(f3057,plain,
( spl34_433
| spl34_434
| ~ spl34_435
| ~ spl34_8
| ~ spl34_323 ),
inference(avatar_split_clause,[],[f2344,f2323,f567,f3054,f3050,f3046]) ).
fof(f3054,plain,
( spl34_435
<=> v5_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_435])]) ).
fof(f2344,plain,
( ~ v5_lattices(sK22)
| v3_struct_0(sK22)
| u2_lattices(sK22) = k4_relat_1(k4_relat_1(u2_lattices(sK22)))
| ~ spl34_8
| ~ spl34_323 ),
inference(resolution,[],[f2324,f569]) ).
fof(f3044,plain,
( spl34_430
| spl34_431
| ~ spl34_432
| ~ spl34_138
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2341,f2319,f1159,f3041,f3037,f3033]) ).
fof(f3041,plain,
( spl34_432
<=> v6_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_432])]) ).
fof(f2341,plain,
( ~ v6_lattices(sK33)
| v3_struct_0(sK33)
| u1_lattices(sK33) = k4_relat_1(k4_relat_1(u1_lattices(sK33)))
| ~ spl34_138
| ~ spl34_322 ),
inference(resolution,[],[f2320,f1161]) ).
fof(f3030,plain,
( spl34_429
| spl34_34
| ~ spl34_38
| ~ spl34_137
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2340,f2319,f1154,f717,f697,f3027]) ).
fof(f717,plain,
( spl34_38
<=> v6_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_38])]) ).
fof(f2340,plain,
( ~ v6_lattices(sK32)
| v3_struct_0(sK32)
| u1_lattices(sK32) = k4_relat_1(k4_relat_1(u1_lattices(sK32)))
| ~ spl34_137
| ~ spl34_322 ),
inference(resolution,[],[f2320,f1156]) ).
fof(f3024,plain,
( spl34_428
| spl34_24
| ~ spl34_28
| ~ spl34_136
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2339,f2319,f1149,f667,f647,f3021]) ).
fof(f667,plain,
( spl34_28
<=> v6_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_28])]) ).
fof(f2339,plain,
( ~ v6_lattices(sK31)
| v3_struct_0(sK31)
| u1_lattices(sK31) = k4_relat_1(k4_relat_1(u1_lattices(sK31)))
| ~ spl34_136
| ~ spl34_322 ),
inference(resolution,[],[f2320,f1151]) ).
fof(f3019,plain,
( spl34_392
| spl34_427
| ~ spl34_142
| ~ spl34_374 ),
inference(avatar_split_clause,[],[f2702,f2696,f1178,f3016,f2815]) ).
fof(f3016,plain,
( spl34_427
<=> sP2(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_427])]) ).
fof(f2702,plain,
( sP2(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_142
| ~ spl34_374 ),
inference(resolution,[],[f2698,f1179]) ).
fof(f3014,plain,
( spl34_425
| spl34_21
| ~ spl34_426
| ~ spl34_135
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2338,f2319,f1144,f3011,f632,f3007]) ).
fof(f3011,plain,
( spl34_426
<=> v6_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_426])]) ).
fof(f2338,plain,
( ~ v6_lattices(sK30)
| v3_struct_0(sK30)
| u1_lattices(sK30) = k4_relat_1(k4_relat_1(u1_lattices(sK30)))
| ~ spl34_135
| ~ spl34_322 ),
inference(resolution,[],[f2320,f1146]) ).
fof(f3005,plain,
( spl34_422
| spl34_423
| ~ spl34_424
| ~ spl34_132
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2337,f2319,f1125,f3002,f2998,f2994]) ).
fof(f3002,plain,
( spl34_424
<=> v6_lattices(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_424])]) ).
fof(f2337,plain,
( ~ v6_lattices(sK25)
| v3_struct_0(sK25)
| u1_lattices(sK25) = k4_relat_1(k4_relat_1(u1_lattices(sK25)))
| ~ spl34_132
| ~ spl34_322 ),
inference(resolution,[],[f2320,f1127]) ).
fof(f2992,plain,
( spl34_419
| spl34_420
| ~ spl34_421
| ~ spl34_7
| ~ spl34_322 ),
inference(avatar_split_clause,[],[f2336,f2319,f562,f2989,f2985,f2981]) ).
fof(f2989,plain,
( spl34_421
<=> v6_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_421])]) ).
fof(f2336,plain,
( ~ v6_lattices(sK21)
| v3_struct_0(sK21)
| u1_lattices(sK21) = k4_relat_1(k4_relat_1(u1_lattices(sK21)))
| ~ spl34_7
| ~ spl34_322 ),
inference(resolution,[],[f2320,f564]) ).
fof(f2979,plain,
( spl34_418
| ~ spl34_72
| ~ spl34_279 ),
inference(avatar_split_clause,[],[f2040,f2015,f880,f2977]) ).
fof(f2040,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_relat_1(X0) )
| ~ spl34_72
| ~ spl34_279 ),
inference(resolution,[],[f2016,f881]) ).
fof(f2975,plain,
( spl34_417
| ~ spl34_198
| ~ spl34_262 ),
inference(avatar_split_clause,[],[f1946,f1916,f1502,f2973]) ).
fof(f1946,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK16(X0,X1)) = k4_relat_1(sK16(X0,X1))
| ~ spl34_198
| ~ spl34_262 ),
inference(resolution,[],[f1917,f1503]) ).
fof(f2936,plain,
( spl34_416
| ~ spl34_266
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2307,f2276,f1933,f2934]) ).
fof(f1933,plain,
( spl34_266
<=> ! [X0,X1] : m2_relset_1(sK18(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_266])]) ).
fof(f2307,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK18(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_266
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1934]) ).
fof(f1934,plain,
( ! [X0,X1] : m2_relset_1(sK18(X0,X1),X0,X1)
| ~ spl34_266 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f2932,plain,
( spl34_415
| ~ spl34_265
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2306,f2276,f1929,f2930]) ).
fof(f1929,plain,
( spl34_265
<=> ! [X0,X1] : m2_relset_1(sK17(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_265])]) ).
fof(f2306,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK17(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_265
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1930]) ).
fof(f1930,plain,
( ! [X0,X1] : m2_relset_1(sK17(X0,X1),X0,X1)
| ~ spl34_265 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f2928,plain,
( spl34_414
| ~ spl34_147
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2305,f2276,f1198,f2926]) ).
fof(f1198,plain,
( spl34_147
<=> ! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_147])]) ).
fof(f2305,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK16(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_147
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1199]) ).
fof(f1199,plain,
( ! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1)
| ~ spl34_147 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f2924,plain,
( spl34_413
| ~ spl34_263
| ~ spl34_316 ),
inference(avatar_split_clause,[],[f2304,f2276,f1920,f2922]) ).
fof(f1920,plain,
( spl34_263
<=> ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_263])]) ).
fof(f2304,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK15(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_263
| ~ spl34_316 ),
inference(resolution,[],[f2277,f1921]) ).
fof(f1921,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl34_263 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f2920,plain,
( spl34_412
| ~ spl34_74
| ~ spl34_299 ),
inference(avatar_split_clause,[],[f2249,f2122,f888,f2918]) ).
fof(f2122,plain,
( spl34_299
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_299])]) ).
fof(f2249,plain,
( ! [X0] :
( sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_74
| ~ spl34_299 ),
inference(resolution,[],[f2123,f889]) ).
fof(f2123,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_299 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2916,plain,
( spl34_1
| ~ spl34_2
| ~ spl34_159
| ~ spl34_392 ),
inference(avatar_split_clause,[],[f2854,f2815,f1260,f537,f532]) ).
fof(f2854,plain,
( ~ l2_conlat_1(sK6)
| v3_conlat_1(sK6)
| ~ spl34_159
| ~ spl34_392 ),
inference(resolution,[],[f2817,f1261]) ).
fof(f2817,plain,
( v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_392 ),
inference(avatar_component_clause,[],[f2815]) ).
fof(f2915,plain,
( spl34_411
| ~ spl34_74
| ~ spl34_298 ),
inference(avatar_split_clause,[],[f2248,f2118,f888,f2913]) ).
fof(f2118,plain,
( spl34_298
<=> ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_298])]) ).
fof(f2248,plain,
( ! [X0] :
( sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) )
| ~ spl34_74
| ~ spl34_298 ),
inference(resolution,[],[f2119,f889]) ).
fof(f2119,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0) )
| ~ spl34_298 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f2911,plain,
( spl34_410
| ~ spl34_74
| ~ spl34_294 ),
inference(avatar_split_clause,[],[f2243,f2102,f888,f2909]) ).
fof(f2102,plain,
( spl34_294
<=> ! [X0] :
( sP0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_294])]) ).
fof(f2243,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP4(X0)
| ~ l3_lattices(X0) )
| ~ spl34_74
| ~ spl34_294 ),
inference(resolution,[],[f2103,f889]) ).
fof(f2103,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_294 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f2907,plain,
( spl34_409
| ~ spl34_74
| ~ spl34_293 ),
inference(avatar_split_clause,[],[f2242,f2098,f888,f2905]) ).
fof(f2098,plain,
( spl34_293
<=> ! [X0] :
( sP0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_293])]) ).
fof(f2242,plain,
( ! [X0] :
( v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP5(X0)
| ~ l3_lattices(X0) )
| ~ spl34_74
| ~ spl34_293 ),
inference(resolution,[],[f2099,f889]) ).
fof(f2099,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| sP0(k1_lattice2(X0))
| ~ sP5(X0) )
| ~ spl34_293 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2903,plain,
( spl34_408
| ~ spl34_144
| ~ spl34_289 ),
inference(avatar_split_clause,[],[f2084,f2070,f1186,f2901]) ).
fof(f2901,plain,
( spl34_408
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_408])]) ).
fof(f2070,plain,
( spl34_289
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK7(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_289])]) ).
fof(f2084,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK7(X0)) )
| ~ spl34_144
| ~ spl34_289 ),
inference(resolution,[],[f2071,f1187]) ).
fof(f2071,plain,
( ! [X0] :
( r2_hidden(sK7(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl34_289 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2899,plain,
( spl34_407
| ~ spl34_144
| ~ spl34_288 ),
inference(avatar_split_clause,[],[f2081,f2066,f1186,f2897]) ).
fof(f2081,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl34_144
| ~ spl34_288 ),
inference(resolution,[],[f2067,f1187]) ).
fof(f2895,plain,
( spl34_406
| ~ spl34_260
| ~ spl34_284 ),
inference(avatar_split_clause,[],[f2052,f2035,f1908,f2893]) ).
fof(f2052,plain,
( ! [X0] :
( m1_subset_1(sK12(sK7(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK7(X0)) )
| ~ spl34_260
| ~ spl34_284 ),
inference(resolution,[],[f2036,f1909]) ).
fof(f2891,plain,
( spl34_405
| ~ spl34_260
| ~ spl34_276 ),
inference(avatar_split_clause,[],[f2005,f2001,f1908,f2889]) ).
fof(f2001,plain,
( spl34_276
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK12(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_276])]) ).
fof(f2005,plain,
( ! [X0] :
( m1_subset_1(sK12(sK12(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0))) )
| ~ spl34_260
| ~ spl34_276 ),
inference(resolution,[],[f2002,f1909]) ).
fof(f2002,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK12(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl34_276 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f2874,plain,
( spl34_404
| ~ spl34_266
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2258,f2126,f1933,f2872]) ).
fof(f2258,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK18(X0,X1)) )
| ~ spl34_266
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1934]) ).
fof(f2870,plain,
( spl34_403
| ~ spl34_265
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2257,f2126,f1929,f2868]) ).
fof(f2257,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK17(X0,X1)) )
| ~ spl34_265
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1930]) ).
fof(f2866,plain,
( spl34_402
| ~ spl34_147
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2256,f2126,f1198,f2864]) ).
fof(f2256,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK16(X0,X1)) )
| ~ spl34_147
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1199]) ).
fof(f2862,plain,
( spl34_401
| ~ spl34_263
| ~ spl34_300 ),
inference(avatar_split_clause,[],[f2255,f2126,f1920,f2860]) ).
fof(f2255,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK15(X0,X1)) )
| ~ spl34_263
| ~ spl34_300 ),
inference(resolution,[],[f2127,f1921]) ).
fof(f2858,plain,
( spl34_400
| ~ spl34_199
| ~ spl34_267 ),
inference(avatar_split_clause,[],[f1955,f1937,f1506,f2856]) ).
fof(f1955,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_199
| ~ spl34_267 ),
inference(resolution,[],[f1938,f1507]) ).
fof(f2853,plain,
( spl34_399
| ~ spl34_159
| ~ spl34_287 ),
inference(avatar_split_clause,[],[f2078,f2062,f1260,f2851]) ).
fof(f2062,plain,
( spl34_287
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP1(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_287])]) ).
fof(f2078,plain,
( ! [X0] :
( v3_conlat_1(X0)
| sP1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_287 ),
inference(duplicate_literal_removal,[],[f2077]) ).
fof(f2077,plain,
( ! [X0] :
( v3_conlat_1(X0)
| sP1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_287 ),
inference(resolution,[],[f2063,f1261]) ).
fof(f2063,plain,
( ! [X0] :
( v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| sP1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_287 ),
inference(avatar_component_clause,[],[f2062]) ).
fof(f2849,plain,
( spl34_398
| ~ spl34_159
| ~ spl34_286 ),
inference(avatar_split_clause,[],[f2076,f2058,f1260,f2847]) ).
fof(f2058,plain,
( spl34_286
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_286])]) ).
fof(f2076,plain,
( ! [X0] :
( v3_conlat_1(X0)
| sP2(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_286 ),
inference(duplicate_literal_removal,[],[f2075]) ).
fof(f2075,plain,
( ! [X0] :
( v3_conlat_1(X0)
| sP2(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_286 ),
inference(resolution,[],[f2059,f1261]) ).
fof(f2059,plain,
( ! [X0] :
( v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| sP2(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_286 ),
inference(avatar_component_clause,[],[f2058]) ).
fof(f2845,plain,
( spl34_397
| ~ spl34_159
| ~ spl34_285 ),
inference(avatar_split_clause,[],[f2074,f2054,f1260,f2843]) ).
fof(f2054,plain,
( spl34_285
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP3(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_285])]) ).
fof(f2074,plain,
( ! [X0] :
( v3_conlat_1(X0)
| sP3(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_285 ),
inference(duplicate_literal_removal,[],[f2073]) ).
fof(f2073,plain,
( ! [X0] :
( v3_conlat_1(X0)
| sP3(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_159
| ~ spl34_285 ),
inference(resolution,[],[f2055,f1261]) ).
fof(f2055,plain,
( ! [X0] :
( v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| sP3(k7_conlat_2(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_285 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2841,plain,
( spl34_396
| ~ spl34_52
| ~ spl34_270 ),
inference(avatar_split_clause,[],[f1989,f1970,f783,f2839]) ).
fof(f2839,plain,
( spl34_396
<=> ! [X0] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| l1_struct_0(k11_conlat_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_396])]) ).
fof(f783,plain,
( spl34_52
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_52])]) ).
fof(f1989,plain,
( ! [X0] :
( v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| l1_struct_0(k11_conlat_1(X0)) )
| ~ spl34_52
| ~ spl34_270 ),
inference(resolution,[],[f1971,f784]) ).
fof(f784,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) )
| ~ spl34_52 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f2832,plain,
( ~ spl34_307
| spl34_395
| ~ spl34_220
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1811,f1801,f1616,f2830,f2165]) ).
fof(f1811,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) )
| ~ spl34_220
| ~ spl34_248 ),
inference(superposition,[],[f1617,f1803]) ).
fof(f2826,plain,
( spl34_394
| ~ spl34_260
| ~ spl34_274 ),
inference(avatar_split_clause,[],[f1995,f1986,f1908,f2824]) ).
fof(f1986,plain,
( spl34_274
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_274])]) ).
fof(f1995,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK12(k1_zfmisc_1(X0))) )
| ~ spl34_260
| ~ spl34_274 ),
inference(resolution,[],[f1987,f1909]) ).
fof(f1987,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK12(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl34_274 ),
inference(avatar_component_clause,[],[f1986]) ).
fof(f2822,plain,
( spl34_392
| spl34_393
| ~ spl34_143
| ~ spl34_374 ),
inference(avatar_split_clause,[],[f2701,f2696,f1182,f2819,f2815]) ).
fof(f2701,plain,
( sP3(k7_conlat_2(sK6))
| v3_conlat_1(k7_conlat_2(sK6))
| ~ spl34_143
| ~ spl34_374 ),
inference(resolution,[],[f2698,f1183]) ).
fof(f2813,plain,
( spl34_391
| ~ spl34_144
| ~ spl34_260 ),
inference(avatar_split_clause,[],[f1942,f1908,f1186,f2811]) ).
fof(f2811,plain,
( spl34_391
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_391])]) ).
fof(f1942,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK12(X0)) )
| ~ spl34_144
| ~ spl34_260 ),
inference(resolution,[],[f1909,f1187]) ).
fof(f2805,plain,
( ~ spl34_307
| spl34_390
| ~ spl34_219
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1809,f1801,f1612,f2803,f2165]) ).
fof(f1809,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(sK6) = X1
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) )
| ~ spl34_219
| ~ spl34_248 ),
inference(superposition,[],[f1613,f1803]) ).
fof(f2797,plain,
( ~ spl34_307
| spl34_389
| ~ spl34_218
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1807,f1801,f1608,f2795,f2165]) ).
fof(f1807,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(sK6) = X0
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6)) )
| ~ spl34_218
| ~ spl34_248 ),
inference(superposition,[],[f1609,f1803]) ).
fof(f2786,plain,
( spl34_388
| ~ spl34_181
| ~ spl34_267 ),
inference(avatar_split_clause,[],[f1954,f1937,f1395,f2784]) ).
fof(f1954,plain,
( ! [X0] :
( v1_relat_1(u3_conlat_1(X0))
| ~ l2_conlat_1(X0) )
| ~ spl34_181
| ~ spl34_267 ),
inference(resolution,[],[f1938,f1396]) ).
fof(f2782,plain,
( spl34_387
| ~ spl34_201
| ~ spl34_267 ),
inference(avatar_split_clause,[],[f1953,f1937,f1518,f2780]) ).
fof(f1953,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0) )
| ~ spl34_201
| ~ spl34_267 ),
inference(resolution,[],[f1938,f1519]) ).
fof(f2778,plain,
( spl34_386
| ~ spl34_203
| ~ spl34_267 ),
inference(avatar_split_clause,[],[f1952,f1937,f1526,f2776]) ).
fof(f1952,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0) )
| ~ spl34_203
| ~ spl34_267 ),
inference(resolution,[],[f1938,f1527]) ).
fof(f2774,plain,
( spl34_385
| ~ spl34_52
| ~ spl34_249 ),
inference(avatar_split_clause,[],[f1863,f1814,f783,f2772]) ).
fof(f2772,plain,
( spl34_385
<=> ! [X0] :
( ~ l3_lattices(X0)
| l1_struct_0(k1_lattice2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_385])]) ).
fof(f1863,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_struct_0(k1_lattice2(X0)) )
| ~ spl34_52
| ~ spl34_249 ),
inference(resolution,[],[f1815,f784]) ).
fof(f2770,plain,
( spl34_384
| ~ spl34_154
| ~ spl34_237 ),
inference(avatar_split_clause,[],[f1749,f1743,f1240,f2767]) ).
fof(f2767,plain,
( spl34_384
<=> sK26 = k4_relat_1(k4_relat_1(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_384])]) ).
fof(f1743,plain,
( spl34_237
<=> v1_relat_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_237])]) ).
fof(f1749,plain,
( sK26 = k4_relat_1(k4_relat_1(sK26))
| ~ spl34_154
| ~ spl34_237 ),
inference(resolution,[],[f1745,f1241]) ).
fof(f1745,plain,
( v1_relat_1(sK26)
| ~ spl34_237 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f2760,plain,
( spl34_383
| ~ spl34_198
| ~ spl34_326
| ~ spl34_382 ),
inference(avatar_split_clause,[],[f2756,f2753,f2367,f1502,f2758]) ).
fof(f2758,plain,
( spl34_383
<=> ! [X2,X0,X1] :
( k4_relat_1(u3_conlat_1(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_383])]) ).
fof(f2753,plain,
( spl34_382
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_382])]) ).
fof(f2756,plain,
( ! [X2,X0,X1] :
( k4_relat_1(u3_conlat_1(sK6)) = X2
| g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_198
| ~ spl34_326
| ~ spl34_382 ),
inference(forward_demodulation,[],[f2754,f2491]) ).
fof(f2754,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_382 ),
inference(avatar_component_clause,[],[f2753]) ).
fof(f2755,plain,
( spl34_382
| ~ spl34_220
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1812,f1801,f1616,f2753]) ).
fof(f1812,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)) = X2
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_220
| ~ spl34_248 ),
inference(superposition,[],[f1617,f1803]) ).
fof(f2747,plain,
( spl34_381
| ~ spl34_53
| ~ spl34_374 ),
inference(avatar_split_clause,[],[f2704,f2696,f787,f2744]) ).
fof(f2704,plain,
( l1_conlat_1(k7_conlat_2(sK6))
| ~ spl34_53
| ~ spl34_374 ),
inference(resolution,[],[f2698,f788]) ).
fof(f2736,plain,
( spl34_380
| ~ spl34_50
| ~ spl34_273 ),
inference(avatar_split_clause,[],[f1994,f1982,f775,f2734]) ).
fof(f1982,plain,
( spl34_273
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_273])]) ).
fof(f1994,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl34_50
| ~ spl34_273 ),
inference(resolution,[],[f1983,f776]) ).
fof(f1983,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl34_273 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f2732,plain,
( spl34_379
| ~ spl34_147
| ~ spl34_267 ),
inference(avatar_split_clause,[],[f1957,f1937,f1198,f2730]) ).
fof(f1957,plain,
( ! [X0,X1] : v1_relat_1(sK16(X0,X1))
| ~ spl34_147
| ~ spl34_267 ),
inference(resolution,[],[f1938,f1199]) ).
fof(f2728,plain,
( spl34_378
| ~ spl34_263
| ~ spl34_267 ),
inference(avatar_split_clause,[],[f1956,f1937,f1920,f2726]) ).
fof(f1956,plain,
( ! [X0,X1] : v1_relat_1(sK15(X0,X1))
| ~ spl34_263
| ~ spl34_267 ),
inference(resolution,[],[f1938,f1921]) ).
fof(f2724,plain,
( spl34_377
| ~ spl34_133
| ~ spl34_240 ),
inference(avatar_split_clause,[],[f1798,f1762,f1130,f2722]) ).
fof(f2722,plain,
( spl34_377
<=> ! [X0] : m1_subset_1(sK26,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_377])]) ).
fof(f1130,plain,
( spl34_133
<=> ! [X0] : m1_subset_1(sK13(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_133])]) ).
fof(f1762,plain,
( spl34_240
<=> ! [X0] : sK13(X0) = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl34_240])]) ).
fof(f1798,plain,
( ! [X0] : m1_subset_1(sK26,k1_zfmisc_1(X0))
| ~ spl34_133
| ~ spl34_240 ),
inference(superposition,[],[f1131,f1763]) ).
fof(f1763,plain,
( ! [X0] : sK13(X0) = sK26
| ~ spl34_240 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1131,plain,
( ! [X0] : m1_subset_1(sK13(X0),k1_zfmisc_1(X0))
| ~ spl34_133 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f2712,plain,
( spl34_376
| ~ spl34_219
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1810,f1801,f1612,f2710]) ).
fof(f2710,plain,
( spl34_376
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(sK6) = X1
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_376])]) ).
fof(f1810,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u1_conlat_1(sK6) = X1
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_219
| ~ spl34_248 ),
inference(superposition,[],[f1613,f1803]) ).
fof(f2708,plain,
( spl34_375
| ~ spl34_218
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1808,f1801,f1608,f2706]) ).
fof(f2706,plain,
( spl34_375
<=> ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(sK6) = X0
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_375])]) ).
fof(f1808,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) != k7_conlat_2(sK6)
| u2_conlat_1(sK6) = X0
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_218
| ~ spl34_248 ),
inference(superposition,[],[f1609,f1803]) ).
fof(f2699,plain,
( ~ spl34_307
| spl34_374
| ~ spl34_188
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1806,f1801,f1424,f2696,f2165]) ).
fof(f1806,plain,
( l2_conlat_1(k7_conlat_2(sK6))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_188
| ~ spl34_248 ),
inference(superposition,[],[f1425,f1803]) ).
fof(f2683,plain,
( spl34_373
| ~ spl34_200
| ~ spl34_233 ),
inference(avatar_split_clause,[],[f1720,f1716,f1514,f2681]) ).
fof(f1720,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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))
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_233 ),
inference(resolution,[],[f1717,f1515]) ).
fof(f2679,plain,
( spl34_372
| ~ spl34_202
| ~ spl34_233 ),
inference(avatar_split_clause,[],[f1719,f1716,f1522,f2677]) ).
fof(f1719,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v3_struct_0(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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))
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_233 ),
inference(resolution,[],[f1717,f1523]) ).
fof(f2673,plain,
( spl34_371
| ~ spl34_206
| ~ spl34_230 ),
inference(avatar_split_clause,[],[f1697,f1694,f1540,f2671]) ).
fof(f1540,plain,
( spl34_206
<=> ! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_206])]) ).
fof(f1694,plain,
( spl34_230
<=> ! [X2,X0,X1] :
( r1_filter_1(X0,X1)
| ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_230])]) ).
fof(f1697,plain,
( ! [X0] :
( r1_filter_1(k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_206
| ~ spl34_230 ),
inference(resolution,[],[f1695,f1541]) ).
fof(f1541,plain,
( ! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_206 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1695,plain,
( ! [X2,X0,X1] :
( ~ v3_lattice4(X2,X0,X1)
| r1_filter_1(X0,X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_230 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f2665,plain,
( spl34_370
| ~ spl34_154
| ~ spl34_358 ),
inference(avatar_split_clause,[],[f2626,f2583,f1240,f2662]) ).
fof(f2626,plain,
( u3_conlat_1(sK6) = k4_relat_1(k4_relat_1(u3_conlat_1(sK6)))
| ~ spl34_154
| ~ spl34_358 ),
inference(resolution,[],[f2585,f1241]) ).
fof(f2651,plain,
( spl34_369
| ~ spl34_200
| ~ spl34_232 ),
inference(avatar_split_clause,[],[f1713,f1705,f1514,f2649]) ).
fof(f1713,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_232 ),
inference(resolution,[],[f1706,f1515]) ).
fof(f2647,plain,
( spl34_368
| ~ spl34_202
| ~ spl34_232 ),
inference(avatar_split_clause,[],[f1712,f1705,f1522,f2645]) ).
fof(f1712,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_232 ),
inference(resolution,[],[f1706,f1523]) ).
fof(f2643,plain,
( spl34_367
| ~ spl34_200
| ~ spl34_231 ),
inference(avatar_split_clause,[],[f1710,f1701,f1514,f2641]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u1_lattices(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)
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_231 ),
inference(resolution,[],[f1702,f1515]) ).
fof(f2639,plain,
( spl34_366
| ~ spl34_202
| ~ spl34_231 ),
inference(avatar_split_clause,[],[f1709,f1701,f1522,f2637]) ).
fof(f1709,plain,
( ! [X0,X1] :
( ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v3_lattices(g3_lattices(u1_struct_0(X0),X1,u2_lattices(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)
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_231 ),
inference(resolution,[],[f1702,f1523]) ).
fof(f2635,plain,
( spl34_365
| ~ spl34_188
| ~ spl34_225 ),
inference(avatar_split_clause,[],[f1666,f1662,f1424,f2633]) ).
fof(f1666,plain,
( ! [X2,X0,X1] :
( k7_conlat_2(g2_conlat_1(X0,X1,X2)) = g2_conlat_1(u2_conlat_1(g2_conlat_1(X0,X1,X2)),u1_conlat_1(g2_conlat_1(X0,X1,X2)),k6_relset_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2))))
| v3_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_188
| ~ spl34_225 ),
inference(resolution,[],[f1663,f1425]) ).
fof(f2630,plain,
( spl34_364
| ~ spl34_151
| ~ spl34_233 ),
inference(avatar_split_clause,[],[f1721,f1716,f1215,f2628]) ).
fof(f1721,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ~ v3_struct_0(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_151
| ~ spl34_233 ),
inference(resolution,[],[f1717,f1216]) ).
fof(f2622,plain,
( spl34_363
| ~ spl34_151
| ~ spl34_232 ),
inference(avatar_split_clause,[],[f1714,f1705,f1215,f2620]) ).
fof(f1714,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| l3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_151
| ~ spl34_232 ),
inference(resolution,[],[f1706,f1216]) ).
fof(f2618,plain,
( spl34_362
| ~ spl34_151
| ~ spl34_231 ),
inference(avatar_split_clause,[],[f1711,f1701,f1215,f2616]) ).
fof(f1711,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK18(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,sK18(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK18(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) )
| ~ spl34_151
| ~ spl34_231 ),
inference(resolution,[],[f1702,f1216]) ).
fof(f2607,plain,
( spl34_361
| ~ spl34_216
| ~ spl34_228 ),
inference(avatar_split_clause,[],[f1691,f1683,f1600,f2605]) ).
fof(f1683,plain,
( spl34_228
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_228])]) ).
fof(f1691,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(X0,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X2)) )
| ~ spl34_216
| ~ spl34_228 ),
inference(resolution,[],[f1684,f1601]) ).
fof(f1684,plain,
( ! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_228 ),
inference(avatar_component_clause,[],[f1683]) ).
fof(f2596,plain,
( spl34_360
| ~ spl34_217
| ~ spl34_228 ),
inference(avatar_split_clause,[],[f1690,f1683,f1604,f2594]) ).
fof(f1690,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X2))
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl34_217
| ~ spl34_228 ),
inference(resolution,[],[f1684,f1605]) ).
fof(f2590,plain,
( spl34_359
| ~ spl34_207
| ~ spl34_223 ),
inference(avatar_split_clause,[],[f1658,f1642,f1544,f2588]) ).
fof(f1642,plain,
( spl34_223
<=> ! [X2,X0,X1] :
( v1_funct_1(X2)
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_223])]) ).
fof(f1658,plain,
( ! [X0] :
( v1_funct_1(k10_conlat_2(X0))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(X0)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(X0)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(X0)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(X0)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(X0)))
| v3_struct_0(k1_lattice2(k11_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_207
| ~ spl34_223 ),
inference(resolution,[],[f1643,f1545]) ).
fof(f1643,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X2,X0,X1)
| v1_funct_1(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_223 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f2586,plain,
( spl34_358
| ~ spl34_267
| ~ spl34_347 ),
inference(avatar_split_clause,[],[f2548,f2511,f1937,f2583]) ).
fof(f2548,plain,
( v1_relat_1(u3_conlat_1(sK6))
| ~ spl34_267
| ~ spl34_347 ),
inference(resolution,[],[f2513,f1938]) ).
fof(f2575,plain,
( spl34_357
| ~ spl34_186
| ~ spl34_204 ),
inference(avatar_split_clause,[],[f1552,f1532,f1415,f2573]) ).
fof(f1532,plain,
( spl34_204
<=> ! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_204])]) ).
fof(f1552,plain,
( ! [X2,X0,X1] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(u1_conlat_1(g2_conlat_1(X0,X1,X2)),u2_conlat_1(g2_conlat_1(X0,X1,X2)),u3_conlat_1(g2_conlat_1(X0,X1,X2)))
| ~ l2_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl34_186
| ~ spl34_204 ),
inference(resolution,[],[f1533,f1416]) ).
fof(f1533,plain,
( ! [X0] :
( ~ v4_conlat_1(X0)
| g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ l2_conlat_1(X0) )
| ~ spl34_204 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f2565,plain,
( spl34_356
| ~ spl34_161
| ~ spl34_225 ),
inference(avatar_split_clause,[],[f1665,f1662,f1268,f2563]) ).
fof(f1665,plain,
( ! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = g2_conlat_1(u2_conlat_1(k7_conlat_2(X0)),u1_conlat_1(k7_conlat_2(X0)),k6_relset_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0))))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_161
| ~ spl34_225 ),
inference(resolution,[],[f1663,f1269]) ).
fof(f2561,plain,
( spl34_355
| ~ spl34_202
| ~ spl34_216 ),
inference(avatar_split_clause,[],[f1625,f1600,f1522,f2559]) ).
fof(f1625,plain,
( ! [X0] :
( v1_partfun1(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(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_216 ),
inference(resolution,[],[f1601,f1523]) ).
fof(f2557,plain,
( spl34_354
| ~ spl34_200
| ~ spl34_216 ),
inference(avatar_split_clause,[],[f1624,f1600,f1514,f2555]) ).
fof(f1624,plain,
( ! [X0] :
( v1_partfun1(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(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_216 ),
inference(resolution,[],[f1601,f1515]) ).
fof(f2545,plain,
( spl34_353
| ~ spl34_202
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f1628,f1604,f1522,f2543]) ).
fof(f1628,plain,
( ! [X0] :
( ~ v1_xboole_0(u2_lattices(X0))
| ~ v1_funct_1(u2_lattices(X0))
| ~ m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l2_lattices(X0) )
| ~ spl34_202
| ~ spl34_217 ),
inference(resolution,[],[f1605,f1523]) ).
fof(f2541,plain,
( spl34_352
| ~ spl34_200
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f1627,f1604,f1514,f2539]) ).
fof(f1627,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_lattices(X0))
| ~ v1_funct_1(u1_lattices(X0))
| ~ m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_lattices(X0) )
| ~ spl34_200
| ~ spl34_217 ),
inference(resolution,[],[f1605,f1515]) ).
fof(f2534,plain,
( spl34_351
| ~ spl34_179
| ~ spl34_229 ),
inference(avatar_split_clause,[],[f1692,f1687,f1355,f2532]) ).
fof(f1692,plain,
( ! [X2,X0,X1] :
( ~ m1_lattice4(X0,X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_relset_1(X0,u1_struct_0(X1),u1_struct_0(X2)) )
| ~ spl34_179
| ~ spl34_229 ),
inference(resolution,[],[f1688,f1356]) ).
fof(f2526,plain,
( spl34_350
| ~ spl34_163
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1555,f1536,f1276,f2524]) ).
fof(f1276,plain,
( spl34_163
<=> ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_163])]) ).
fof(f1555,plain,
( ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_163
| ~ spl34_205 ),
inference(resolution,[],[f1537,f1277]) ).
fof(f1277,plain,
( ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_163 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f2522,plain,
( spl34_349
| ~ spl34_160
| ~ spl34_204 ),
inference(avatar_split_clause,[],[f1551,f1532,f1264,f2520]) ).
fof(f1551,plain,
( ! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u1_conlat_1(k7_conlat_2(X0)),u2_conlat_1(k7_conlat_2(X0)),u3_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_160
| ~ spl34_204 ),
inference(resolution,[],[f1533,f1265]) ).
fof(f2518,plain,
( spl34_348
| ~ spl34_223
| ~ spl34_226 ),
inference(avatar_split_clause,[],[f1681,f1672,f1642,f2516]) ).
fof(f2516,plain,
( spl34_348
<=> ! [X0,X1] :
( ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_348])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_1(sK11(X0,X1)) )
| ~ spl34_223
| ~ spl34_226 ),
inference(duplicate_literal_removal,[],[f1680]) ).
fof(f1680,plain,
( ! [X0,X1] :
( ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_1(sK11(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_223
| ~ spl34_226 ),
inference(resolution,[],[f1673,f1643]) ).
fof(f2514,plain,
( spl34_347
| ~ spl34_180
| ~ spl34_326 ),
inference(avatar_split_clause,[],[f2492,f2367,f1359,f2511]) ).
fof(f2492,plain,
( m2_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_180
| ~ spl34_326 ),
inference(resolution,[],[f2368,f1360]) ).
fof(f2500,plain,
( spl34_346
| ~ spl34_151
| ~ spl34_217 ),
inference(avatar_split_clause,[],[f1626,f1604,f1215,f2498]) ).
fof(f1626,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK18(X0,X1))
| ~ v1_funct_1(sK18(X0,X1))
| ~ m1_relset_1(sK18(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl34_151
| ~ spl34_217 ),
inference(resolution,[],[f1605,f1216]) ).
fof(f2496,plain,
( spl34_345
| ~ spl34_151
| ~ spl34_216 ),
inference(avatar_split_clause,[],[f1623,f1600,f1215,f2494]) ).
fof(f1623,plain,
( ! [X0,X1] :
( v1_partfun1(sK18(X0,X1),X0,X1)
| ~ v1_funct_1(sK18(X0,X1))
| ~ m1_relset_1(sK18(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl34_151
| ~ spl34_216 ),
inference(resolution,[],[f1601,f1216]) ).
fof(f2489,plain,
( spl34_344
| ~ spl34_73
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1561,f1536,f884,f2487]) ).
fof(f884,plain,
( spl34_73
<=> ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_73])]) ).
fof(f1561,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) )
| ~ spl34_73
| ~ spl34_205 ),
inference(resolution,[],[f1537,f885]) ).
fof(f885,plain,
( ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) )
| ~ spl34_73 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f2485,plain,
( spl34_343
| ~ spl34_113
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1560,f1536,f1048,f2483]) ).
fof(f2483,plain,
( spl34_343
<=> ! [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))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_343])]) ).
fof(f1048,plain,
( spl34_113
<=> ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_113])]) ).
fof(f1560,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))
| ~ sP4(X0) )
| ~ spl34_113
| ~ spl34_205 ),
inference(resolution,[],[f1537,f1049]) ).
fof(f1049,plain,
( ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_113 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f2481,plain,
( spl34_342
| ~ spl34_124
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1559,f1536,f1093,f2479]) ).
fof(f2479,plain,
( spl34_342
<=> ! [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))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_342])]) ).
fof(f1093,plain,
( spl34_124
<=> ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_124])]) ).
fof(f1559,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))
| ~ sP5(X0) )
| ~ spl34_124
| ~ spl34_205 ),
inference(resolution,[],[f1537,f1094]) ).
fof(f1094,plain,
( ! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP5(X0) )
| ~ spl34_124 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f2477,plain,
( spl34_341
| ~ spl34_78
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1558,f1536,f905,f2475]) ).
fof(f2475,plain,
( spl34_341
<=> ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_341])]) ).
fof(f905,plain,
( spl34_78
<=> ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_78])]) ).
fof(f1558,plain,
( ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP1(X0) )
| ~ spl34_78
| ~ spl34_205 ),
inference(resolution,[],[f1537,f906]) ).
fof(f906,plain,
( ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP1(X0) )
| ~ spl34_78 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f2473,plain,
( spl34_340
| ~ spl34_87
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1557,f1536,f941,f2471]) ).
fof(f2471,plain,
( spl34_340
<=> ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_340])]) ).
fof(f941,plain,
( spl34_87
<=> ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_87])]) ).
fof(f1557,plain,
( ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_87
| ~ spl34_205 ),
inference(resolution,[],[f1537,f942]) ).
fof(f942,plain,
( ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_87 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f2469,plain,
( spl34_339
| ~ spl34_98
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1556,f1536,f986,f2467]) ).
fof(f2467,plain,
( spl34_339
<=> ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_339])]) ).
fof(f986,plain,
( spl34_98
<=> ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_98])]) ).
fof(f1556,plain,
( ! [X0] :
( k11_conlat_1(X0) = g3_lattices(u1_struct_0(k11_conlat_1(X0)),u2_lattices(k11_conlat_1(X0)),u1_lattices(k11_conlat_1(X0)))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_98
| ~ spl34_205 ),
inference(resolution,[],[f1537,f987]) ).
fof(f987,plain,
( ! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_98 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f2453,plain,
( spl34_16
| spl34_338
| ~ spl34_15
| ~ spl34_225 ),
inference(avatar_split_clause,[],[f1669,f1662,f602,f2450,f607]) ).
fof(f1669,plain,
( k7_conlat_2(sK28) = g2_conlat_1(u2_conlat_1(sK28),u1_conlat_1(sK28),k6_relset_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28)))
| v3_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_225 ),
inference(resolution,[],[f1663,f604]) ).
fof(f2448,plain,
( spl34_337
| ~ spl34_223
| ~ spl34_224 ),
inference(avatar_split_clause,[],[f1660,f1646,f1642,f2446]) ).
fof(f2446,plain,
( spl34_337
<=> ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_funct_1(sK14(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_337])]) ).
fof(f1660,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_funct_1(sK14(X1,X0)) )
| ~ spl34_223
| ~ spl34_224 ),
inference(duplicate_literal_removal,[],[f1659]) ).
fof(f1659,plain,
( ! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_funct_1(sK14(X1,X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl34_223
| ~ spl34_224 ),
inference(resolution,[],[f1647,f1643]) ).
fof(f2444,plain,
( ~ spl34_2
| ~ spl34_281
| spl34_326 ),
inference(avatar_split_clause,[],[f2410,f2367,f2023,f537]) ).
fof(f2410,plain,
( ~ l2_conlat_1(sK6)
| ~ spl34_281
| spl34_326 ),
inference(resolution,[],[f2369,f2024]) ).
fof(f2369,plain,
( ~ m1_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| spl34_326 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f2440,plain,
( spl34_336
| ~ spl34_176
| ~ spl34_196 ),
inference(avatar_split_clause,[],[f1491,f1471,f1343,f2438]) ).
fof(f1471,plain,
( spl34_196
<=> ! [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,[spl34_196])]) ).
fof(f1491,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))) )
| ~ spl34_176
| ~ spl34_196 ),
inference(resolution,[],[f1472,f1344]) ).
fof(f1472,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl34_196 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f2406,plain,
( spl34_335
| ~ spl34_122
| ~ spl34_195 ),
inference(avatar_split_clause,[],[f1488,f1467,f1085,f2404]) ).
fof(f1085,plain,
( spl34_122
<=> ! [X0] :
( v4_lattice3(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_122])]) ).
fof(f1467,plain,
( spl34_195
<=> ! [X0] :
( sP4(X0)
| ~ l3_lattices(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_195])]) ).
fof(f1488,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP4(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_122
| ~ spl34_195 ),
inference(resolution,[],[f1468,f1086]) ).
fof(f1086,plain,
( ! [X0] :
( v4_lattice3(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_122 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1468,plain,
( ! [X0] :
( ~ v4_lattice3(X0)
| ~ l3_lattices(X0)
| sP4(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_195 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f2402,plain,
( spl34_334
| ~ spl34_96
| ~ spl34_195 ),
inference(avatar_split_clause,[],[f1487,f1467,f978,f2400]) ).
fof(f978,plain,
( spl34_96
<=> ! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_96])]) ).
fof(f1487,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ v10_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_96
| ~ spl34_195 ),
inference(resolution,[],[f1468,f979]) ).
fof(f979,plain,
( ! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_96 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f2398,plain,
( spl34_333
| ~ spl34_111
| ~ spl34_195 ),
inference(avatar_split_clause,[],[f1486,f1467,f1040,f2396]) ).
fof(f1040,plain,
( spl34_111
<=> ! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_111])]) ).
fof(f1486,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP4(k11_conlat_1(X0))
| ~ v10_lattices(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_111
| ~ spl34_195 ),
inference(resolution,[],[f1468,f1041]) ).
fof(f1041,plain,
( ! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_111 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f2394,plain,
( spl34_332
| ~ spl34_176
| ~ spl34_194 ),
inference(avatar_split_clause,[],[f1485,f1463,f1343,f2392]) ).
fof(f1463,plain,
( spl34_194
<=> ! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_194])]) ).
fof(f1485,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK10(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl34_176
| ~ spl34_194 ),
inference(resolution,[],[f1464,f1344]) ).
fof(f1464,plain,
( ! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl34_194 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f2390,plain,
( spl34_331
| ~ spl34_176
| ~ spl34_193 ),
inference(avatar_split_clause,[],[f1483,f1459,f1343,f2388]) ).
fof(f1459,plain,
( spl34_193
<=> ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_193])]) ).
fof(f1483,plain,
( ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u1_conlat_1(X0)))
| r2_hidden(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0))) )
| ~ spl34_176
| ~ spl34_193 ),
inference(resolution,[],[f1460,f1344]) ).
fof(f1460,plain,
( ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) )
| ~ spl34_193 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f2386,plain,
( spl34_330
| ~ spl34_176
| ~ spl34_192 ),
inference(avatar_split_clause,[],[f1481,f1455,f1343,f2384]) ).
fof(f1481,plain,
( ! [X0] :
( ~ l1_conlat_1(X0)
| v3_conlat_1(X0)
| v1_xboole_0(k1_zfmisc_1(u2_conlat_1(X0)))
| r2_hidden(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ spl34_176
| ~ spl34_192 ),
inference(resolution,[],[f1456,f1344]) ).
fof(f2382,plain,
( spl34_329
| ~ spl34_141
| ~ spl34_188 ),
inference(avatar_split_clause,[],[f1438,f1424,f1174,f2380]) ).
fof(f1438,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| sP1(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0)) )
| ~ spl34_141
| ~ spl34_188 ),
inference(resolution,[],[f1425,f1175]) ).
fof(f2378,plain,
( spl34_328
| ~ spl34_142
| ~ spl34_188 ),
inference(avatar_split_clause,[],[f1437,f1424,f1178,f2376]) ).
fof(f1437,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| sP2(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0)) )
| ~ spl34_142
| ~ spl34_188 ),
inference(resolution,[],[f1425,f1179]) ).
fof(f2374,plain,
( spl34_327
| ~ spl34_143
| ~ spl34_188 ),
inference(avatar_split_clause,[],[f1436,f1424,f1182,f2372]) ).
fof(f1436,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| sP3(g2_conlat_1(X1,X2,X0))
| v3_conlat_1(g2_conlat_1(X1,X2,X0)) )
| ~ spl34_143
| ~ spl34_188 ),
inference(resolution,[],[f1425,f1183]) ).
fof(f2370,plain,
( ~ spl34_326
| ~ spl34_304
| spl34_307 ),
inference(avatar_split_clause,[],[f2311,f2165,f2142,f2367]) ).
fof(f2311,plain,
( ~ m1_relset_1(u3_conlat_1(sK6),u1_conlat_1(sK6),u2_conlat_1(sK6))
| ~ spl34_304
| spl34_307 ),
inference(resolution,[],[f2167,f2143]) ).
fof(f2167,plain,
( ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| spl34_307 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f2333,plain,
( spl34_325
| ~ spl34_154
| ~ spl34_185 ),
inference(avatar_split_clause,[],[f1435,f1411,f1240,f2331]) ).
fof(f1411,plain,
( spl34_185
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_185])]) ).
fof(f1435,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) )
| ~ spl34_154
| ~ spl34_185 ),
inference(resolution,[],[f1412,f1241]) ).
fof(f1412,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_185 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f2329,plain,
( spl34_324
| ~ spl34_154
| ~ spl34_184 ),
inference(avatar_split_clause,[],[f1434,f1407,f1240,f2327]) ).
fof(f1407,plain,
( spl34_184
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_184])]) ).
fof(f1434,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) )
| ~ spl34_154
| ~ spl34_184 ),
inference(resolution,[],[f1408,f1241]) ).
fof(f1408,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_184 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f2325,plain,
( spl34_323
| ~ spl34_154
| ~ spl34_183 ),
inference(avatar_split_clause,[],[f1433,f1403,f1240,f2323]) ).
fof(f1403,plain,
( spl34_183
<=> ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_183])]) ).
fof(f1433,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = k4_relat_1(k4_relat_1(u2_lattices(X0))) )
| ~ spl34_154
| ~ spl34_183 ),
inference(resolution,[],[f1404,f1241]) ).
fof(f1404,plain,
( ! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_183 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f2321,plain,
( spl34_322
| ~ spl34_154
| ~ spl34_182 ),
inference(avatar_split_clause,[],[f1432,f1399,f1240,f2319]) ).
fof(f1399,plain,
( spl34_182
<=> ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_182])]) ).
fof(f1432,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = k4_relat_1(k4_relat_1(u1_lattices(X0))) )
| ~ spl34_154
| ~ spl34_182 ),
inference(resolution,[],[f1400,f1241]) ).
fof(f1400,plain,
( ! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) )
| ~ spl34_182 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f2298,plain,
( spl34_321
| ~ spl34_179
| ~ spl34_203 ),
inference(avatar_split_clause,[],[f1530,f1526,f1355,f2296]) ).
fof(f1530,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)) )
| ~ spl34_179
| ~ spl34_203 ),
inference(resolution,[],[f1527,f1356]) ).
fof(f2294,plain,
( spl34_320
| ~ spl34_179
| ~ spl34_201 ),
inference(avatar_split_clause,[],[f1529,f1518,f1355,f2292]) ).
fof(f1529,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)) )
| ~ spl34_179
| ~ spl34_201 ),
inference(resolution,[],[f1519,f1356]) ).
fof(f2290,plain,
( spl34_319
| ~ spl34_194
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f1497,f1475,f1463,f2288]) ).
fof(f1497,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK10(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl34_194
| ~ spl34_197 ),
inference(resolution,[],[f1476,f1464]) ).
fof(f2286,plain,
( spl34_318
| ~ spl34_193
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f1496,f1475,f1459,f2284]) ).
fof(f1496,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_conlat_1(X1))
| ~ r2_hidden(X0,sK9(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) )
| ~ spl34_193
| ~ spl34_197 ),
inference(resolution,[],[f1476,f1460]) ).
fof(f2282,plain,
( spl34_317
| ~ spl34_192
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f1495,f1475,f1455,f2280]) ).
fof(f1495,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u2_conlat_1(X1))
| ~ r2_hidden(X0,sK8(X1))
| ~ l1_conlat_1(X1)
| v3_conlat_1(X1) )
| ~ spl34_192
| ~ spl34_197 ),
inference(resolution,[],[f1476,f1456]) ).
fof(f2278,plain,
( spl34_316
| ~ spl34_196
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f1493,f1475,f1471,f2276]) ).
fof(f1493,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl34_196
| ~ spl34_197 ),
inference(resolution,[],[f1476,f1472]) ).
fof(f2247,plain,
( spl34_1
| ~ spl34_2
| ~ spl34_160
| spl34_308 ),
inference(avatar_split_clause,[],[f2230,f2169,f1264,f537,f532]) ).
fof(f2169,plain,
( spl34_308
<=> v4_conlat_1(k7_conlat_2(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_308])]) ).
fof(f2230,plain,
( ~ l2_conlat_1(sK6)
| v3_conlat_1(sK6)
| ~ spl34_160
| spl34_308 ),
inference(resolution,[],[f2170,f1265]) ).
fof(f2170,plain,
( ~ v4_conlat_1(k7_conlat_2(sK6))
| spl34_308 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f2238,plain,
( spl34_315
| ~ spl34_150
| ~ spl34_198
| ~ spl34_208 ),
inference(avatar_split_clause,[],[f1571,f1548,f1502,f1211,f2236]) ).
fof(f1571,plain,
( ! [X0,X1] : sK18(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK18(X0,X1)))
| ~ spl34_150
| ~ spl34_198
| ~ spl34_208 ),
inference(forward_demodulation,[],[f1568,f1511]) ).
fof(f1511,plain,
( ! [X0,X1] : k4_relat_1(sK18(X0,X1)) = k6_relset_1(X0,X1,sK18(X0,X1))
| ~ spl34_150
| ~ spl34_198 ),
inference(resolution,[],[f1503,f1212]) ).
fof(f1568,plain,
( ! [X0,X1] : sK18(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK18(X0,X1)))
| ~ spl34_150
| ~ spl34_208 ),
inference(resolution,[],[f1549,f1212]) ).
fof(f2234,plain,
( spl34_314
| ~ spl34_148
| ~ spl34_198
| ~ spl34_208 ),
inference(avatar_split_clause,[],[f1570,f1548,f1502,f1202,f2232]) ).
fof(f1570,plain,
( ! [X0,X1] : sK17(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK17(X0,X1)))
| ~ spl34_148
| ~ spl34_198
| ~ spl34_208 ),
inference(forward_demodulation,[],[f1567,f1510]) ).
fof(f1510,plain,
( ! [X0,X1] : k4_relat_1(sK17(X0,X1)) = k6_relset_1(X0,X1,sK17(X0,X1))
| ~ spl34_148
| ~ spl34_198 ),
inference(resolution,[],[f1503,f1203]) ).
fof(f1567,plain,
( ! [X0,X1] : sK17(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK17(X0,X1)))
| ~ spl34_148
| ~ spl34_208 ),
inference(resolution,[],[f1549,f1203]) ).
fof(f2229,plain,
( spl34_313
| ~ spl34_146
| ~ spl34_198
| ~ spl34_208 ),
inference(avatar_split_clause,[],[f1569,f1548,f1502,f1194,f2227]) ).
fof(f1569,plain,
( ! [X0,X1] : sK15(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK15(X0,X1)))
| ~ spl34_146
| ~ spl34_198
| ~ spl34_208 ),
inference(forward_demodulation,[],[f1566,f1509]) ).
fof(f1509,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK15(X0,X1)) = k4_relat_1(sK15(X0,X1))
| ~ spl34_146
| ~ spl34_198 ),
inference(resolution,[],[f1503,f1195]) ).
fof(f1566,plain,
( ! [X0,X1] : sK15(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK15(X0,X1)))
| ~ spl34_146
| ~ spl34_208 ),
inference(resolution,[],[f1549,f1195]) ).
fof(f2219,plain,
( ~ spl34_46
| spl34_312
| ~ spl34_47
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1565,f1536,f762,f2216,f757]) ).
fof(f762,plain,
( spl34_47
<=> v3_lattices(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_47])]) ).
fof(f1565,plain,
( sK33 = g3_lattices(u1_struct_0(sK33),u2_lattices(sK33),u1_lattices(sK33))
| ~ l3_lattices(sK33)
| ~ spl34_47
| ~ spl34_205 ),
inference(resolution,[],[f1537,f764]) ).
fof(f764,plain,
( v3_lattices(sK33)
| ~ spl34_47 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f2208,plain,
( ~ spl34_33
| spl34_311
| ~ spl34_35
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1564,f1536,f702,f2205,f692]) ).
fof(f702,plain,
( spl34_35
<=> v3_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_35])]) ).
fof(f1564,plain,
( sK32 = g3_lattices(u1_struct_0(sK32),u2_lattices(sK32),u1_lattices(sK32))
| ~ l3_lattices(sK32)
| ~ spl34_35
| ~ spl34_205 ),
inference(resolution,[],[f1537,f704]) ).
fof(f704,plain,
( v3_lattices(sK32)
| ~ spl34_35 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f2197,plain,
( ~ spl34_23
| spl34_310
| ~ spl34_25
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1563,f1536,f652,f2194,f642]) ).
fof(f652,plain,
( spl34_25
<=> v3_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_25])]) ).
fof(f1563,plain,
( sK31 = g3_lattices(u1_struct_0(sK31),u2_lattices(sK31),u1_lattices(sK31))
| ~ l3_lattices(sK31)
| ~ spl34_25
| ~ spl34_205 ),
inference(resolution,[],[f1537,f654]) ).
fof(f654,plain,
( v3_lattices(sK31)
| ~ spl34_25 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f2186,plain,
( ~ spl34_20
| spl34_309
| ~ spl34_22
| ~ spl34_205 ),
inference(avatar_split_clause,[],[f1562,f1536,f637,f2183,f627]) ).
fof(f637,plain,
( spl34_22
<=> v3_lattices(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_22])]) ).
fof(f1562,plain,
( sK30 = g3_lattices(u1_struct_0(sK30),u2_lattices(sK30),u1_lattices(sK30))
| ~ l3_lattices(sK30)
| ~ spl34_22
| ~ spl34_205 ),
inference(resolution,[],[f1537,f639]) ).
fof(f639,plain,
( v3_lattices(sK30)
| ~ spl34_22 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f2172,plain,
( ~ spl34_307
| spl34_308
| ~ spl34_186
| ~ spl34_248 ),
inference(avatar_split_clause,[],[f1805,f1801,f1415,f2169,f2165]) ).
fof(f1805,plain,
( v4_conlat_1(k7_conlat_2(sK6))
| ~ m1_relset_1(k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)),u2_conlat_1(sK6),u1_conlat_1(sK6))
| ~ spl34_186
| ~ spl34_248 ),
inference(superposition,[],[f1416,f1803]) ).
fof(f2163,plain,
( ~ spl34_18
| spl34_306
| ~ spl34_19
| ~ spl34_204 ),
inference(avatar_split_clause,[],[f1554,f1532,f622,f2160,f617]) ).
fof(f622,plain,
( spl34_19
<=> v4_conlat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_19])]) ).
fof(f1554,plain,
( sK29 = g2_conlat_1(u1_conlat_1(sK29),u2_conlat_1(sK29),u3_conlat_1(sK29))
| ~ l2_conlat_1(sK29)
| ~ spl34_19
| ~ spl34_204 ),
inference(resolution,[],[f1533,f624]) ).
fof(f624,plain,
( v4_conlat_1(sK29)
| ~ spl34_19 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f2149,plain,
( ~ spl34_15
| spl34_305
| ~ spl34_17
| ~ spl34_204 ),
inference(avatar_split_clause,[],[f1553,f1532,f612,f2146,f602]) ).
fof(f612,plain,
( spl34_17
<=> v4_conlat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_17])]) ).
fof(f1553,plain,
( sK28 = g2_conlat_1(u1_conlat_1(sK28),u2_conlat_1(sK28),u3_conlat_1(sK28))
| ~ l2_conlat_1(sK28)
| ~ spl34_17
| ~ spl34_204 ),
inference(resolution,[],[f1533,f614]) ).
fof(f614,plain,
( v4_conlat_1(sK28)
| ~ spl34_17 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f2144,plain,
( spl34_304
| ~ spl34_179
| ~ spl34_199 ),
inference(avatar_split_clause,[],[f1512,f1506,f1355,f2142]) ).
fof(f1512,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1) )
| ~ spl34_179
| ~ spl34_199 ),
inference(resolution,[],[f1507,f1356]) ).
fof(f2140,plain,
( spl34_303
| ~ spl34_150
| ~ spl34_198 ),
inference(avatar_split_clause,[],[f1511,f1502,f1211,f2138]) ).
fof(f2136,plain,
( spl34_302
| ~ spl34_148
| ~ spl34_198 ),
inference(avatar_split_clause,[],[f1510,f1502,f1202,f2134]) ).
fof(f2132,plain,
( spl34_301
| ~ spl34_146
| ~ spl34_198 ),
inference(avatar_split_clause,[],[f1509,f1502,f1194,f2130]) ).
fof(f2128,plain,
( spl34_300
| ~ spl34_189
| ~ spl34_196 ),
inference(avatar_split_clause,[],[f1490,f1471,f1428,f2126]) ).
fof(f1490,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl34_189
| ~ spl34_196 ),
inference(resolution,[],[f1472,f1429]) ).
fof(f2124,plain,
( spl34_299
| ~ spl34_120
| ~ spl34_174 ),
inference(avatar_split_clause,[],[f1377,f1334,f1076,f2122]) ).
fof(f1334,plain,
( spl34_174
<=> ! [X0] :
( sP5(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_174])]) ).
fof(f1377,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_120
| ~ spl34_174 ),
inference(resolution,[],[f1335,f1077]) ).
fof(f1335,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| sP5(X0)
| v3_struct_0(X0) )
| ~ spl34_174 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f2120,plain,
( spl34_298
| ~ spl34_131
| ~ spl34_174 ),
inference(avatar_split_clause,[],[f1376,f1334,f1121,f2118]) ).
fof(f1376,plain,
( ! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| sP5(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0) )
| ~ spl34_131
| ~ spl34_174 ),
inference(resolution,[],[f1335,f1122]) ).
fof(f2116,plain,
( spl34_297
| ~ spl34_85
| ~ spl34_174 ),
inference(avatar_split_clause,[],[f1375,f1334,f933,f2114]) ).
fof(f1375,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP1(X0) )
| ~ spl34_85
| ~ spl34_174 ),
inference(resolution,[],[f1335,f934]) ).
fof(f2112,plain,
( spl34_296
| ~ spl34_95
| ~ spl34_174 ),
inference(avatar_split_clause,[],[f1374,f1334,f974,f2110]) ).
fof(f1374,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_95
| ~ spl34_174 ),
inference(resolution,[],[f1335,f975]) ).
fof(f2108,plain,
( spl34_295
| ~ spl34_106
| ~ spl34_174 ),
inference(avatar_split_clause,[],[f1373,f1334,f1019,f2106]) ).
fof(f1373,plain,
( ! [X0] :
( ~ l3_lattices(k11_conlat_1(X0))
| sP5(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_106
| ~ spl34_174 ),
inference(resolution,[],[f1335,f1020]) ).
fof(f2104,plain,
( spl34_294
| ~ spl34_120
| ~ spl34_173 ),
inference(avatar_split_clause,[],[f1370,f1330,f1076,f2102]) ).
fof(f1330,plain,
( spl34_173
<=> ! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_173])]) ).
fof(f1370,plain,
( ! [X0] :
( sP0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP4(X0) )
| ~ spl34_120
| ~ spl34_173 ),
inference(resolution,[],[f1331,f1077]) ).
fof(f1331,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl34_173 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f2100,plain,
( spl34_293
| ~ spl34_131
| ~ spl34_173 ),
inference(avatar_split_clause,[],[f1369,f1330,f1121,f2098]) ).
fof(f1369,plain,
( ! [X0] :
( sP0(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| ~ sP5(X0) )
| ~ spl34_131
| ~ spl34_173 ),
inference(resolution,[],[f1331,f1122]) ).
fof(f2096,plain,
( spl34_292
| ~ spl34_85
| ~ spl34_173 ),
inference(avatar_split_clause,[],[f1368,f1330,f933,f2094]) ).
fof(f1368,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP1(X0) )
| ~ spl34_85
| ~ spl34_173 ),
inference(resolution,[],[f1331,f934]) ).
fof(f2092,plain,
( spl34_291
| ~ spl34_95
| ~ spl34_173 ),
inference(avatar_split_clause,[],[f1367,f1330,f974,f2090]) ).
fof(f1367,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) )
| ~ spl34_95
| ~ spl34_173 ),
inference(resolution,[],[f1331,f975]) ).
fof(f2088,plain,
( spl34_290
| ~ spl34_106
| ~ spl34_173 ),
inference(avatar_split_clause,[],[f1366,f1330,f1019,f2086]) ).
fof(f1366,plain,
( ! [X0] :
( sP0(k11_conlat_1(X0))
| v3_struct_0(k11_conlat_1(X0))
| ~ l3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) )
| ~ spl34_106
| ~ spl34_173 ),
inference(resolution,[],[f1331,f1020]) ).
fof(f2072,plain,
( spl34_289
| ~ spl34_153
| ~ spl34_176 ),
inference(avatar_split_clause,[],[f1381,f1343,f1236,f2070]) ).
fof(f1236,plain,
( spl34_153
<=> ! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_153])]) ).
fof(f1381,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK7(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl34_153
| ~ spl34_176 ),
inference(resolution,[],[f1344,f1237]) ).
fof(f1237,plain,
( ! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl34_153 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f2068,plain,
( spl34_288
| ~ spl34_168
| ~ spl34_176 ),
inference(avatar_split_clause,[],[f1380,f1343,f1296,f2066]) ).
fof(f1296,plain,
( spl34_168
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_168])]) ).
fof(f1380,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl34_168
| ~ spl34_176 ),
inference(resolution,[],[f1344,f1297]) ).
fof(f1297,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl34_168 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f2064,plain,
( spl34_287
| ~ spl34_141
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f1313,f1268,f1174,f2062]) ).
fof(f1313,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP1(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0)) )
| ~ spl34_141
| ~ spl34_161 ),
inference(resolution,[],[f1269,f1175]) ).
fof(f2060,plain,
( spl34_286
| ~ spl34_142
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f1312,f1268,f1178,f2058]) ).
fof(f1312,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP2(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0)) )
| ~ spl34_142
| ~ spl34_161 ),
inference(resolution,[],[f1269,f1179]) ).
fof(f2056,plain,
( spl34_285
| ~ spl34_143
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f1311,f1268,f1182,f2054]) ).
fof(f1311,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| sP3(k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0)) )
| ~ spl34_143
| ~ spl34_161 ),
inference(resolution,[],[f1269,f1183]) ).
fof(f2037,plain,
( spl34_284
| ~ spl34_153
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f1494,f1475,f1236,f2035]) ).
fof(f1494,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(X1))
| v1_xboole_0(X1) )
| ~ spl34_153
| ~ spl34_197 ),
inference(resolution,[],[f1476,f1237]) ).
fof(f2033,plain,
( spl34_283
| ~ spl34_168
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f1492,f1475,f1296,f2031]) ).
fof(f2031,plain,
( spl34_283
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_283])]) ).
fof(f1492,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl34_168
| ~ spl34_197 ),
inference(resolution,[],[f1476,f1297]) ).
fof(f2029,plain,
( spl34_282
| ~ spl34_53
| ~ spl34_188 ),
inference(avatar_split_clause,[],[f1439,f1424,f787,f2027]) ).
fof(f1439,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| l1_conlat_1(g2_conlat_1(X1,X2,X0)) )
| ~ spl34_53
| ~ spl34_188 ),
inference(resolution,[],[f1425,f788]) ).
fof(f2025,plain,
( spl34_281
| ~ spl34_179
| ~ spl34_181 ),
inference(avatar_split_clause,[],[f1431,f1395,f1355,f2023]) ).
fof(f1431,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| m1_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) )
| ~ spl34_179
| ~ spl34_181 ),
inference(resolution,[],[f1396,f1356]) ).
fof(f2021,plain,
( spl34_280
| ~ spl34_153
| ~ spl34_178 ),
inference(avatar_split_clause,[],[f1386,f1351,f1236,f2019]) ).
fof(f1386,plain,
( ! [X0,X1] :
( v1_relat_1(sK7(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl34_153
| ~ spl34_178 ),
inference(resolution,[],[f1352,f1237]) ).
fof(f2017,plain,
( spl34_279
| ~ spl34_72
| ~ spl34_154 ),
inference(avatar_split_clause,[],[f1310,f1240,f880,f2015]) ).
fof(f1310,plain,
( ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_relat_1(X0) )
| ~ spl34_72
| ~ spl34_154 ),
inference(resolution,[],[f1241,f881]) ).
fof(f2013,plain,
( spl34_278
| ~ spl34_66
| ~ spl34_154 ),
inference(avatar_split_clause,[],[f1309,f1240,f839,f2011]) ).
fof(f839,plain,
( spl34_66
<=> ! [X0,X1] : v1_relat_1(sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_66])]) ).
fof(f1309,plain,
( ! [X0,X1] : sK18(X0,X1) = k4_relat_1(k4_relat_1(sK18(X0,X1)))
| ~ spl34_66
| ~ spl34_154 ),
inference(resolution,[],[f1241,f840]) ).
fof(f840,plain,
( ! [X0,X1] : v1_relat_1(sK18(X0,X1))
| ~ spl34_66 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f2009,plain,
( spl34_277
| ~ spl34_64
| ~ spl34_154 ),
inference(avatar_split_clause,[],[f1308,f1240,f831,f2007]) ).
fof(f831,plain,
( spl34_64
<=> ! [X0,X1] : v1_relat_1(sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_64])]) ).
fof(f1308,plain,
( ! [X0,X1] : sK17(X0,X1) = k4_relat_1(k4_relat_1(sK17(X0,X1)))
| ~ spl34_64
| ~ spl34_154 ),
inference(resolution,[],[f1241,f832]) ).
fof(f832,plain,
( ! [X0,X1] : v1_relat_1(sK17(X0,X1))
| ~ spl34_64 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f2003,plain,
( spl34_276
| ~ spl34_63
| ~ spl34_197 ),
inference(avatar_split_clause,[],[f1498,f1475,f827,f2001]) ).
fof(f827,plain,
( spl34_63
<=> ! [X0] : m1_subset_1(sK12(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_63])]) ).
fof(f1498,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK12(k1_zfmisc_1(X1))) )
| ~ spl34_63
| ~ spl34_197 ),
inference(resolution,[],[f1476,f828]) ).
fof(f828,plain,
( ! [X0] : m1_subset_1(sK12(X0),X0)
| ~ spl34_63 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1999,plain,
( spl34_275
| ~ spl34_168
| ~ spl34_189 ),
inference(avatar_split_clause,[],[f1440,f1428,f1296,f1997]) ).
fof(f1997,plain,
( spl34_275
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_275])]) ).
fof(f1440,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl34_168
| ~ spl34_189 ),
inference(resolution,[],[f1429,f1297]) ).
fof(f1988,plain,
( spl34_274
| ~ spl34_63
| ~ spl34_189 ),
inference(avatar_split_clause,[],[f1442,f1428,f827,f1986]) ).
fof(f1442,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK12(k1_zfmisc_1(X0))) )
| ~ spl34_63
| ~ spl34_189 ),
inference(resolution,[],[f1429,f828]) ).
fof(f1984,plain,
( spl34_273
| ~ spl34_168
| ~ spl34_178 ),
inference(avatar_split_clause,[],[f1385,f1351,f1296,f1982]) ).
fof(f1385,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl34_168
| ~ spl34_178 ),
inference(resolution,[],[f1352,f1297]) ).
fof(f1980,plain,
( spl34_272
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75
| ~ spl34_133
| ~ spl34_176 ),
inference(avatar_split_clause,[],[f1384,f1343,f1130,f892,f771,f587,f1978]) ).
fof(f1978,plain,
( spl34_272
<=> ! [X0] :
( r2_hidden(sK26,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_272])]) ).
fof(f587,plain,
( spl34_12
<=> v1_xboole_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_12])]) ).
fof(f771,plain,
( spl34_49
<=> ! [X0] : v1_xboole_0(sK13(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_49])]) ).
fof(f892,plain,
( spl34_75
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_75])]) ).
fof(f1384,plain,
( ! [X0] :
( r2_hidden(sK26,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75
| ~ spl34_133
| ~ spl34_176 ),
inference(forward_demodulation,[],[f1383,f1142]) ).
fof(f1142,plain,
( ! [X0] : sK13(X0) = sK26
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75 ),
inference(forward_demodulation,[],[f1141,f1140]) ).
fof(f1140,plain,
( k1_xboole_0 = sK26
| ~ spl34_12
| ~ spl34_75 ),
inference(resolution,[],[f893,f589]) ).
fof(f589,plain,
( v1_xboole_0(sK26)
| ~ spl34_12 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f893,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl34_75 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f1141,plain,
( ! [X0] : k1_xboole_0 = sK13(X0)
| ~ spl34_49
| ~ spl34_75 ),
inference(resolution,[],[f893,f772]) ).
fof(f772,plain,
( ! [X0] : v1_xboole_0(sK13(X0))
| ~ spl34_49 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f1383,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK13(X0),k1_zfmisc_1(X0)) )
| ~ spl34_133
| ~ spl34_176 ),
inference(resolution,[],[f1344,f1131]) ).
fof(f1976,plain,
( spl34_271
| ~ spl34_54
| ~ spl34_164 ),
inference(avatar_split_clause,[],[f1316,f1280,f791,f1974]) ).
fof(f1316,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l1_lattices(k11_conlat_1(X0)) )
| ~ spl34_54
| ~ spl34_164 ),
inference(resolution,[],[f1281,f792]) ).
fof(f1972,plain,
( spl34_270
| ~ spl34_55
| ~ spl34_164 ),
inference(avatar_split_clause,[],[f1315,f1280,f795,f1970]) ).
fof(f1315,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l2_lattices(k11_conlat_1(X0)) )
| ~ spl34_55
| ~ spl34_164 ),
inference(resolution,[],[f1281,f796]) ).
fof(f1968,plain,
( spl34_269
| ~ spl34_53
| ~ spl34_161 ),
inference(avatar_split_clause,[],[f1314,f1268,f787,f1966]) ).
fof(f1966,plain,
( spl34_269
<=> ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l1_conlat_1(k7_conlat_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_269])]) ).
fof(f1314,plain,
( ! [X0] :
( ~ l2_conlat_1(X0)
| v3_conlat_1(X0)
| l1_conlat_1(k7_conlat_2(X0)) )
| ~ spl34_53
| ~ spl34_161 ),
inference(resolution,[],[f1269,f788]) ).
fof(f1964,plain,
( spl34_268
| ~ spl34_51
| ~ spl34_138 ),
inference(avatar_split_clause,[],[f1738,f1159,f779,f1961]) ).
fof(f1961,plain,
( spl34_268
<=> l1_struct_0(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_268])]) ).
fof(f1738,plain,
( l1_struct_0(sK33)
| ~ spl34_51
| ~ spl34_138 ),
inference(resolution,[],[f1161,f780]) ).
fof(f1939,plain,
( spl34_267
| ~ spl34_178
| ~ spl34_196 ),
inference(avatar_split_clause,[],[f1489,f1471,f1351,f1937]) ).
fof(f1489,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl34_178
| ~ spl34_196 ),
inference(resolution,[],[f1472,f1352]) ).
fof(f1935,plain,
( spl34_266
| ~ spl34_150
| ~ spl34_180 ),
inference(avatar_split_clause,[],[f1393,f1359,f1211,f1933]) ).
fof(f1393,plain,
( ! [X0,X1] : m2_relset_1(sK18(X0,X1),X0,X1)
| ~ spl34_150
| ~ spl34_180 ),
inference(resolution,[],[f1360,f1212]) ).
fof(f1931,plain,
( spl34_265
| ~ spl34_148
| ~ spl34_180 ),
inference(avatar_split_clause,[],[f1392,f1359,f1202,f1929]) ).
fof(f1392,plain,
( ! [X0,X1] : m2_relset_1(sK17(X0,X1),X0,X1)
| ~ spl34_148
| ~ spl34_180 ),
inference(resolution,[],[f1360,f1203]) ).
fof(f1927,plain,
( spl34_264
| ~ spl34_51
| ~ spl34_137 ),
inference(avatar_split_clause,[],[f1737,f1154,f779,f1924]) ).
fof(f1924,plain,
( spl34_264
<=> l1_struct_0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_264])]) ).
fof(f1737,plain,
( l1_struct_0(sK32)
| ~ spl34_51
| ~ spl34_137 ),
inference(resolution,[],[f1156,f780]) ).
fof(f1922,plain,
( spl34_263
| ~ spl34_146
| ~ spl34_180 ),
inference(avatar_split_clause,[],[f1391,f1359,f1194,f1920]) ).
fof(f1391,plain,
( ! [X0,X1] : m2_relset_1(sK15(X0,X1),X0,X1)
| ~ spl34_146
| ~ spl34_180 ),
inference(resolution,[],[f1360,f1195]) ).
fof(f1918,plain,
( spl34_262
| ~ spl34_147
| ~ spl34_179 ),
inference(avatar_split_clause,[],[f1390,f1355,f1198,f1916]) ).
fof(f1390,plain,
( ! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1)
| ~ spl34_147
| ~ spl34_179 ),
inference(resolution,[],[f1356,f1199]) ).
fof(f1914,plain,
( spl34_261
| ~ spl34_63
| ~ spl34_178 ),
inference(avatar_split_clause,[],[f1387,f1351,f827,f1912]) ).
fof(f1387,plain,
( ! [X0,X1] : v1_relat_1(sK12(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl34_63
| ~ spl34_178 ),
inference(resolution,[],[f1352,f828]) ).
fof(f1910,plain,
( spl34_260
| ~ spl34_63
| ~ spl34_176 ),
inference(avatar_split_clause,[],[f1382,f1343,f827,f1908]) ).
fof(f1382,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK12(X0),X0) )
| ~ spl34_63
| ~ spl34_176 ),
inference(resolution,[],[f1344,f828]) ).
fof(f1906,plain,
( spl34_34
| spl34_259
| ~ spl34_33
| ~ spl34_42
| ~ spl34_174 ),
inference(avatar_split_clause,[],[f1379,f1334,f737,f692,f1903,f697]) ).
fof(f1903,plain,
( spl34_259
<=> sP5(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_259])]) ).
fof(f737,plain,
( spl34_42
<=> v10_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_42])]) ).
fof(f1379,plain,
( ~ l3_lattices(sK32)
| sP5(sK32)
| v3_struct_0(sK32)
| ~ spl34_42
| ~ spl34_174 ),
inference(resolution,[],[f1335,f739]) ).
fof(f739,plain,
( v10_lattices(sK32)
| ~ spl34_42 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f1901,plain,
( spl34_24
| spl34_258
| ~ spl34_23
| ~ spl34_32
| ~ spl34_174 ),
inference(avatar_split_clause,[],[f1378,f1334,f687,f642,f1898,f647]) ).
fof(f1898,plain,
( spl34_258
<=> sP5(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_258])]) ).
fof(f687,plain,
( spl34_32
<=> v10_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_32])]) ).
fof(f1378,plain,
( ~ l3_lattices(sK31)
| sP5(sK31)
| v3_struct_0(sK31)
| ~ spl34_32
| ~ spl34_174 ),
inference(resolution,[],[f1335,f689]) ).
fof(f689,plain,
( v10_lattices(sK31)
| ~ spl34_32 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f1889,plain,
( ~ spl34_33
| spl34_34
| spl34_257
| ~ spl34_42
| ~ spl34_173 ),
inference(avatar_split_clause,[],[f1372,f1330,f737,f1886,f697,f692]) ).
fof(f1886,plain,
( spl34_257
<=> sP0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_257])]) ).
fof(f1372,plain,
( sP0(sK32)
| v3_struct_0(sK32)
| ~ l3_lattices(sK32)
| ~ spl34_42
| ~ spl34_173 ),
inference(resolution,[],[f1331,f739]) ).
fof(f1884,plain,
( spl34_256
| ~ spl34_51
| ~ spl34_136 ),
inference(avatar_split_clause,[],[f1708,f1149,f779,f1881]) ).
fof(f1881,plain,
( spl34_256
<=> l1_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_256])]) ).
fof(f1708,plain,
( l1_struct_0(sK31)
| ~ spl34_51
| ~ spl34_136 ),
inference(resolution,[],[f1151,f780]) ).
fof(f1872,plain,
( ~ spl34_23
| spl34_24
| spl34_255
| ~ spl34_32
| ~ spl34_173 ),
inference(avatar_split_clause,[],[f1371,f1330,f687,f1869,f647,f642]) ).
fof(f1869,plain,
( spl34_255
<=> sP0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_255])]) ).
fof(f1371,plain,
( sP0(sK31)
| v3_struct_0(sK31)
| ~ l3_lattices(sK31)
| ~ spl34_32
| ~ spl34_173 ),
inference(resolution,[],[f1331,f689]) ).
fof(f1844,plain,
( spl34_254
| ~ spl34_51
| ~ spl34_135 ),
inference(avatar_split_clause,[],[f1679,f1144,f779,f1841]) ).
fof(f1841,plain,
( spl34_254
<=> l1_struct_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_254])]) ).
fof(f1679,plain,
( l1_struct_0(sK30)
| ~ spl34_51
| ~ spl34_135 ),
inference(resolution,[],[f1146,f780]) ).
fof(f1839,plain,
( spl34_251
| ~ spl34_75
| ~ spl34_238 ),
inference(avatar_split_clause,[],[f1838,f1751,f892,f1822]) ).
fof(f1838,plain,
( ! [X0] :
( sK26 = X0
| ~ v1_xboole_0(X0) )
| ~ spl34_75
| ~ spl34_238 ),
inference(forward_demodulation,[],[f893,f1753]) ).
fof(f1837,plain,
( ~ spl34_4
| ~ spl34_252 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1832,plain,
( $false
| ~ spl34_4
| ~ spl34_252 ),
inference(resolution,[],[f1827,f549]) ).
fof(f1827,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl34_252 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f1826,plain,
( spl34_252
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_252])]) ).
fof(f1836,plain,
( ~ spl34_12
| ~ spl34_252 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1833,plain,
( $false
| ~ spl34_12
| ~ spl34_252 ),
inference(resolution,[],[f1827,f589]) ).
fof(f1835,plain,
( ~ spl34_49
| ~ spl34_252 ),
inference(avatar_contradiction_clause,[],[f1834]) ).
fof(f1834,plain,
( $false
| ~ spl34_49
| ~ spl34_252 ),
inference(resolution,[],[f1827,f772]) ).
fof(f1831,plain,
( spl34_252
| spl34_253
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75
| ~ spl34_133
| ~ spl34_189 ),
inference(avatar_split_clause,[],[f1444,f1428,f1130,f892,f771,f587,f1829,f1826]) ).
fof(f1829,plain,
( spl34_253
<=> ! [X1] : ~ r2_hidden(X1,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_253])]) ).
fof(f1444,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK26)
| ~ v1_xboole_0(X0) )
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75
| ~ spl34_133
| ~ spl34_189 ),
inference(forward_demodulation,[],[f1443,f1142]) ).
fof(f1443,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK13(X0)) )
| ~ spl34_133
| ~ spl34_189 ),
inference(resolution,[],[f1429,f1131]) ).
fof(f1824,plain,
( spl34_251
| ~ spl34_12
| ~ spl34_169 ),
inference(avatar_split_clause,[],[f1318,f1300,f587,f1822]) ).
fof(f1318,plain,
( ! [X0] :
( sK26 = X0
| ~ v1_xboole_0(X0) )
| ~ spl34_12
| ~ spl34_169 ),
inference(resolution,[],[f1301,f589]) ).
fof(f1820,plain,
( spl34_250
| ~ spl34_54
| ~ spl34_74 ),
inference(avatar_split_clause,[],[f1138,f888,f791,f1818]) ).
fof(f1138,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(k1_lattice2(X0)) )
| ~ spl34_54
| ~ spl34_74 ),
inference(resolution,[],[f889,f792]) ).
fof(f1816,plain,
( spl34_249
| ~ spl34_55
| ~ spl34_74 ),
inference(avatar_split_clause,[],[f1137,f888,f795,f1814]) ).
fof(f1137,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(k1_lattice2(X0)) )
| ~ spl34_55
| ~ spl34_74 ),
inference(resolution,[],[f889,f796]) ).
fof(f1804,plain,
( spl34_1
| spl34_248
| ~ spl34_2
| ~ spl34_225 ),
inference(avatar_split_clause,[],[f1667,f1662,f537,f1801,f532]) ).
fof(f1667,plain,
( k7_conlat_2(sK6) = g2_conlat_1(u2_conlat_1(sK6),u1_conlat_1(sK6),k6_relset_1(u1_conlat_1(sK6),u2_conlat_1(sK6),u3_conlat_1(sK6)))
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_225 ),
inference(resolution,[],[f1663,f539]) ).
fof(f1797,plain,
( spl34_16
| spl34_247
| ~ spl34_15
| ~ spl34_143 ),
inference(avatar_split_clause,[],[f1228,f1182,f602,f1794,f607]) ).
fof(f1794,plain,
( spl34_247
<=> sP3(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_247])]) ).
fof(f1228,plain,
( sP3(sK28)
| v3_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_143 ),
inference(resolution,[],[f1183,f604]) ).
fof(f1792,plain,
( spl34_16
| spl34_246
| ~ spl34_15
| ~ spl34_142 ),
inference(avatar_split_clause,[],[f1224,f1178,f602,f1789,f607]) ).
fof(f1789,plain,
( spl34_246
<=> sP2(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_246])]) ).
fof(f1224,plain,
( sP2(sK28)
| v3_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_142 ),
inference(resolution,[],[f1179,f604]) ).
fof(f1787,plain,
( spl34_244
| spl34_245
| ~ spl34_18
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f1221,f1174,f617,f1784,f1780]) ).
fof(f1780,plain,
( spl34_244
<=> v3_conlat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_244])]) ).
fof(f1784,plain,
( spl34_245
<=> sP1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_245])]) ).
fof(f1221,plain,
( sP1(sK29)
| v3_conlat_1(sK29)
| ~ spl34_18
| ~ spl34_141 ),
inference(resolution,[],[f1175,f619]) ).
fof(f1778,plain,
( spl34_16
| spl34_243
| ~ spl34_15
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f1220,f1174,f602,f1775,f607]) ).
fof(f1775,plain,
( spl34_243
<=> sP1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_243])]) ).
fof(f1220,plain,
( sP1(sK28)
| v3_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_141 ),
inference(resolution,[],[f1175,f604]) ).
fof(f1773,plain,
( spl34_241
| spl34_242
| ~ spl34_10
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f1219,f1174,f577,f1770,f1766]) ).
fof(f1766,plain,
( spl34_241
<=> v3_conlat_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_241])]) ).
fof(f1770,plain,
( spl34_242
<=> sP1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_242])]) ).
fof(f1219,plain,
( sP1(sK24)
| v3_conlat_1(sK24)
| ~ spl34_10
| ~ spl34_141 ),
inference(resolution,[],[f1175,f579]) ).
fof(f1764,plain,
( spl34_240
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75 ),
inference(avatar_split_clause,[],[f1142,f892,f771,f587,f1762]) ).
fof(f1760,plain,
( spl34_239
| ~ spl34_51
| ~ spl34_132 ),
inference(avatar_split_clause,[],[f1640,f1125,f779,f1757]) ).
fof(f1757,plain,
( spl34_239
<=> l1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_239])]) ).
fof(f1640,plain,
( l1_struct_0(sK25)
| ~ spl34_51
| ~ spl34_132 ),
inference(resolution,[],[f1127,f780]) ).
fof(f1754,plain,
( spl34_238
| ~ spl34_12
| ~ spl34_75 ),
inference(avatar_split_clause,[],[f1140,f892,f587,f1751]) ).
fof(f1746,plain,
( spl34_237
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75
| ~ spl34_133
| ~ spl34_178 ),
inference(avatar_split_clause,[],[f1389,f1351,f1130,f892,f771,f587,f1743]) ).
fof(f1389,plain,
( v1_relat_1(sK26)
| ~ spl34_12
| ~ spl34_49
| ~ spl34_75
| ~ spl34_133
| ~ spl34_178 ),
inference(forward_demodulation,[],[f1388,f1142]) ).
fof(f1388,plain,
( ! [X0,X1] : v1_relat_1(sK13(k2_zfmisc_1(X0,X1)))
| ~ spl34_133
| ~ spl34_178 ),
inference(resolution,[],[f1352,f1131]) ).
fof(f1733,plain,
spl34_236,
inference(avatar_split_clause,[],[f483,f1731]) ).
fof(f483,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,[],[f215]) ).
fof(f215,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,[],[f214]) ).
fof(f214,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,[],[f71]) ).
fof(f71,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/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f1729,plain,
spl34_235,
inference(avatar_split_clause,[],[f482,f1727]) ).
fof(f482,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,[],[f215]) ).
fof(f1725,plain,
spl34_234,
inference(avatar_split_clause,[],[f481,f1723]) ).
fof(f481,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,[],[f215]) ).
fof(f1718,plain,
spl34_233,
inference(avatar_split_clause,[],[f477,f1716]) ).
fof(f477,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,[],[f211]) ).
fof(f211,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,[],[f210]) ).
fof(f210,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/sandbox/benchmark/theBenchmark.p',fc3_lattices) ).
fof(f1707,plain,
spl34_232,
inference(avatar_split_clause,[],[f480,f1705]) ).
fof(f480,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,[],[f213]) ).
fof(f213,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,[],[f212]) ).
fof(f212,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,[],[f17]) ).
fof(f17,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/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f1703,plain,
spl34_231,
inference(avatar_split_clause,[],[f479,f1701]) ).
fof(f479,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,[],[f213]) ).
fof(f1696,plain,
spl34_230,
inference(avatar_split_clause,[],[f429,f1694]) ).
fof(f429,plain,
! [X2,X0,X1] :
( r1_filter_1(X0,X1)
| ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ! [X1] :
( ( ( r1_filter_1(X0,X1)
| ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) ) )
& ( ( v3_lattice4(sK11(X0,X1),X0,X1)
& m1_lattice4(sK11(X0,X1),X0,X1) )
| ~ r1_filter_1(X0,X1) ) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f248,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ? [X3] :
( v3_lattice4(X3,X0,X1)
& m1_lattice4(X3,X0,X1) )
=> ( v3_lattice4(sK11(X0,X1),X0,X1)
& m1_lattice4(sK11(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ( ( r1_filter_1(X0,X1)
| ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) ) )
& ( ? [X3] :
( v3_lattice4(X3,X0,X1)
& m1_lattice4(X3,X0,X1) )
| ~ r1_filter_1(X0,X1) ) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(rectify,[],[f247]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( ( r1_filter_1(X0,X1)
| ! [X2] :
( ~ v3_lattice4(X2,X0,X1)
| ~ m1_lattice4(X2,X0,X1) ) )
& ( ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) )
| ~ r1_filter_1(X0,X1) ) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ 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] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r1_filter_1(X0,X1)
<=> ? [X2] :
( v3_lattice4(X2,X0,X1)
& m1_lattice4(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_lattice4) ).
fof(f1689,plain,
spl34_229,
inference(avatar_split_clause,[],[f451,f1687]) ).
fof(f451,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ m1_lattice4(X2,X0,X1) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ m1_lattice4(X2,X0,X1) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_lattice4(X2,X0,X1)
=> ( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_lattice4) ).
fof(f1685,plain,
spl34_228,
inference(avatar_split_clause,[],[f450,f1683]) ).
fof(f450,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1678,plain,
spl34_227,
inference(avatar_split_clause,[],[f428,f1676]) ).
fof(f1676,plain,
( spl34_227
<=> ! [X0,X1] :
( v3_lattice4(sK11(X0,X1),X0,X1)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_227])]) ).
fof(f428,plain,
! [X0,X1] :
( v3_lattice4(sK11(X0,X1),X0,X1)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f1674,plain,
spl34_226,
inference(avatar_split_clause,[],[f427,f1672]) ).
fof(f427,plain,
! [X0,X1] :
( m1_lattice4(sK11(X0,X1),X0,X1)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f1664,plain,
spl34_225,
inference(avatar_split_clause,[],[f345,f1662]) ).
fof(f345,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> k7_conlat_2(X0) = g2_conlat_1(u2_conlat_1(X0),u1_conlat_1(X0),k6_relset_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_conlat_2) ).
fof(f1648,plain,
spl34_224,
inference(avatar_split_clause,[],[f452,f1646]) ).
fof(f452,plain,
! [X0,X1] :
( m1_lattice4(sK14(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( m1_lattice4(sK14(X0,X1),X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f197,f255]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2] : m1_lattice4(X2,X0,X1)
=> m1_lattice4(sK14(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0,X1] :
( ? [X2] : m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( ? [X2] : m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] : m1_lattice4(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_lattice4) ).
fof(f1644,plain,
spl34_223,
inference(avatar_split_clause,[],[f449,f1642]) ).
fof(f449,plain,
! [X2,X0,X1] :
( v1_funct_1(X2)
| ~ m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1639,plain,
spl34_222,
inference(avatar_split_clause,[],[f448,f1637]) ).
fof(f448,plain,
! [X0,X1] :
( r1_filter_1(X1,X0)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( r1_filter_1(X1,X0)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( r1_filter_1(X1,X0)
| ~ r1_filter_1(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r1_filter_1(X0,X1)
=> r1_filter_1(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_1) ).
fof(f1635,plain,
spl34_221,
inference(avatar_split_clause,[],[f327,f1633]) ).
fof(f1633,plain,
( spl34_221
<=> ! [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,[spl34_221])]) ).
fof(f327,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,[],[f132]) ).
fof(f132,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,[],[f131]) ).
fof(f131,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/sandbox/benchmark/theBenchmark.p',cc2_lattices) ).
fof(f1618,plain,
spl34_220,
inference(avatar_split_clause,[],[f474,f1616]) ).
fof(f474,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5) )
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ! [X3,X4,X5] :
( g2_conlat_1(X0,X1,X2) = g2_conlat_1(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g2_conlat_1) ).
fof(f1614,plain,
spl34_219,
inference(avatar_split_clause,[],[f473,f1612]) ).
fof(f473,plain,
! [X2,X3,X0,X1,X4,X5] :
( X1 = X4
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1610,plain,
spl34_218,
inference(avatar_split_clause,[],[f472,f1608]) ).
fof(f472,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g2_conlat_1(X0,X1,X2) != g2_conlat_1(X3,X4,X5)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1606,plain,
spl34_217,
inference(avatar_split_clause,[],[f444,f1604]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f1602,plain,
spl34_216,
inference(avatar_split_clause,[],[f437,f1600]) ).
fof(f437,plain,
! [X2,X0,X1] :
( v1_partfun1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) )
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_funct_2) ).
fof(f1598,plain,
spl34_215,
inference(avatar_split_clause,[],[f405,f1596]) ).
fof(f1596,plain,
( spl34_215
<=> ! [X0] :
( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_215])]) ).
fof(f405,plain,
! [X0] :
( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [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)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [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)) )
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [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_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/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(f1594,plain,
spl34_214,
inference(avatar_split_clause,[],[f401,f1592]) ).
fof(f1592,plain,
( spl34_214
<=> ! [X0] :
( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_214])]) ).
fof(f401,plain,
! [X0] :
( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [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)) )
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [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)) )
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,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,[],[f68]) ).
fof(f68,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/sandbox/benchmark/theBenchmark.p',fc5_lattice2) ).
fof(f1590,plain,
spl34_213,
inference(avatar_split_clause,[],[f397,f1588]) ).
fof(f1588,plain,
( spl34_213
<=> ! [X0] :
( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_213])]) ).
fof(f397,plain,
! [X0] :
( v1_partfun1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [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)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [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)) )
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,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/sandbox/benchmark/theBenchmark.p',fc3_lattice2) ).
fof(f1586,plain,
spl34_212,
inference(avatar_split_clause,[],[f393,f1584]) ).
fof(f1584,plain,
( spl34_212
<=> ! [X0] :
( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_212])]) ).
fof(f393,plain,
! [X0] :
( v1_partfun1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [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)) )
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [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)) )
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [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_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,[],[f65]) ).
fof(f65,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/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(f1582,plain,
( spl34_210
| spl34_211 ),
inference(avatar_split_clause,[],[f447,f1580,f1577]) ).
fof(f1577,plain,
( spl34_210
<=> ! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_210])]) ).
fof(f1580,plain,
( spl34_211
<=> ! [X0] :
( r1_filter_1(X0,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_211])]) ).
fof(f447,plain,
! [X0,X1] :
( r1_filter_1(X0,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( r1_filter_1(X0,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( r1_filter_1(X0,X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> r1_filter_1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_filter_1) ).
fof(f1575,plain,
spl34_209,
inference(avatar_split_clause,[],[f471,f1573]) ).
fof(f1573,plain,
( spl34_209
<=> ! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_209])]) ).
fof(f471,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
| ~ v1_partfun1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_partfun1(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f1550,plain,
spl34_208,
inference(avatar_split_clause,[],[f467,f1548]) ).
fof(f467,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
fof(f1546,plain,
spl34_207,
inference(avatar_split_clause,[],[f344,f1544]) ).
fof(f344,plain,
! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> m1_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_conlat_2) ).
fof(f1542,plain,
spl34_206,
inference(avatar_split_clause,[],[f343,f1540]) ).
fof(f343,plain,
! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0)))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> v3_lattice4(k10_conlat_2(X0),k1_lattice2(k11_conlat_1(X0)),k11_conlat_1(k7_conlat_2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_conlat_2) ).
fof(f1538,plain,
spl34_205,
inference(avatar_split_clause,[],[f320,f1536]) ).
fof(f320,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,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/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f1534,plain,
spl34_204,
inference(avatar_split_clause,[],[f313,f1532]) ).
fof(f313,plain,
! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( l2_conlat_1(X0)
=> ( v4_conlat_1(X0)
=> g2_conlat_1(u1_conlat_1(X0),u2_conlat_1(X0),u3_conlat_1(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
fof(f1528,plain,
spl34_203,
inference(avatar_split_clause,[],[f310,f1526]) ).
fof(f310,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,[],[f116]) ).
fof(f116,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,[],[f41]) ).
fof(f41,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/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f1524,plain,
spl34_202,
inference(avatar_split_clause,[],[f309,f1522]) ).
fof(f309,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,[],[f116]) ).
fof(f1520,plain,
spl34_201,
inference(avatar_split_clause,[],[f307,f1518]) ).
fof(f307,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,[],[f115]) ).
fof(f115,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,[],[f38]) ).
fof(f38,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/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f1516,plain,
spl34_200,
inference(avatar_split_clause,[],[f306,f1514]) ).
fof(f306,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,[],[f115]) ).
fof(f1508,plain,
spl34_199,
inference(avatar_split_clause,[],[f466,f1506]) ).
fof(f466,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1504,plain,
spl34_198,
inference(avatar_split_clause,[],[f465,f1502]) ).
fof(f465,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1477,plain,
spl34_197,
inference(avatar_split_clause,[],[f484,f1475]) ).
fof(f484,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f1473,plain,
spl34_196,
inference(avatar_split_clause,[],[f475,f1471]) ).
fof(f475,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,[],[f208]) ).
fof(f208,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,[],[f36]) ).
fof(f36,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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1469,plain,
spl34_195,
inference(avatar_split_clause,[],[f416,f1467]) ).
fof(f416,plain,
! [X0] :
( sP4(X0)
| ~ l3_lattices(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( sP4(X0)
| ~ l3_lattices(X0)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f173,f227]) ).
fof(f227,plain,
! [X0] :
( ( v4_lattice3(k1_lattice2(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)) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f173,plain,
! [X0] :
( ( v4_lattice3(k1_lattice2(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)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( v4_lattice3(k1_lattice2(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)
| ~ v4_lattice3(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( ( l3_lattices(X0)
& v4_lattice3(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v4_lattice3(k1_lattice2(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/sandbox/benchmark/theBenchmark.p',fc2_conlat_2) ).
fof(f1465,plain,
spl34_194,
inference(avatar_split_clause,[],[f388,f1463]) ).
fof(f388,plain,
! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ( ~ v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f163,f243]) ).
fof(f243,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f163,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,[],[f162]) ).
fof(f162,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,[],[f84]) ).
fof(f84,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/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f1461,plain,
spl34_193,
inference(avatar_split_clause,[],[f341,f1459]) ).
fof(f341,plain,
! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0))) )
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f143,f238]) ).
fof(f238,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) )
=> ( ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(u1_conlat_1(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) )
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) )
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_conlat_1(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_conlat_1) ).
fof(f1457,plain,
spl34_192,
inference(avatar_split_clause,[],[f339,f1455]) ).
fof(f339,plain,
! [X0] :
( m1_subset_1(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0)))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f141,f236]) ).
fof(f236,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) )
=> ( ~ v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(u2_conlat_1(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) )
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u2_conlat_1(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_conlat_1) ).
fof(f1453,plain,
spl34_191,
inference(avatar_split_clause,[],[f322,f1451]) ).
fof(f1451,plain,
( spl34_191
<=> ! [X0] :
( v15_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_191])]) ).
fof(f322,plain,
! [X0] :
( v15_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( v15_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,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/sandbox/benchmark/theBenchmark.p',cc3_lattices) ).
fof(f1449,plain,
( spl34_190
| ~ spl34_46
| ~ spl34_55 ),
inference(avatar_split_clause,[],[f861,f795,f757,f1446]) ).
fof(f861,plain,
( l2_lattices(sK33)
| ~ spl34_46
| ~ spl34_55 ),
inference(resolution,[],[f796,f759]) ).
fof(f1430,plain,
spl34_189,
inference(avatar_split_clause,[],[f487,f1428]) ).
fof(f487,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f1426,plain,
spl34_188,
inference(avatar_split_clause,[],[f469,f1424]) ).
fof(f469,plain,
! [X2,X0,X1] :
( l2_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ( l2_conlat_1(g2_conlat_1(X0,X1,X2))
& v4_conlat_1(g2_conlat_1(X0,X1,X2)) )
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( l2_conlat_1(g2_conlat_1(X0,X1,X2))
& v4_conlat_1(g2_conlat_1(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g2_conlat_1) ).
fof(f1422,plain,
( spl34_187
| ~ spl34_33
| ~ spl34_55 ),
inference(avatar_split_clause,[],[f860,f795,f692,f1419]) ).
fof(f860,plain,
( l2_lattices(sK32)
| ~ spl34_33
| ~ spl34_55 ),
inference(resolution,[],[f796,f694]) ).
fof(f1417,plain,
spl34_186,
inference(avatar_split_clause,[],[f468,f1415]) ).
fof(f468,plain,
! [X2,X0,X1] :
( v4_conlat_1(g2_conlat_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f1413,plain,
spl34_185,
inference(avatar_split_clause,[],[f402,f1411]) ).
fof(f402,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v4_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f1409,plain,
spl34_184,
inference(avatar_split_clause,[],[f398,f1407]) ).
fof(f398,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v7_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f1405,plain,
spl34_183,
inference(avatar_split_clause,[],[f394,f1403]) ).
fof(f394,plain,
! [X0] :
( v1_relat_1(u2_lattices(X0))
| ~ l2_lattices(X0)
| ~ v5_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f1401,plain,
spl34_182,
inference(avatar_split_clause,[],[f390,f1399]) ).
fof(f390,plain,
! [X0] :
( v1_relat_1(u1_lattices(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f1397,plain,
spl34_181,
inference(avatar_split_clause,[],[f312,f1395]) ).
fof(f312,plain,
! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0))
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( l2_conlat_1(X0)
=> m2_relset_1(u3_conlat_1(X0),u1_conlat_1(X0),u2_conlat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
fof(f1361,plain,
spl34_180,
inference(avatar_split_clause,[],[f486,f1359]) ).
fof(f486,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,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,[],[f91]) ).
fof(f91,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1357,plain,
spl34_179,
inference(avatar_split_clause,[],[f485,f1355]) ).
fof(f485,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1353,plain,
spl34_178,
inference(avatar_split_clause,[],[f476,f1351]) ).
fof(f476,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1349,plain,
spl34_177,
inference(avatar_split_clause,[],[f442,f1347]) ).
fof(f442,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f1345,plain,
spl34_176,
inference(avatar_split_clause,[],[f441,f1343]) ).
fof(f441,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f184]) ).
fof(f184,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/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f1341,plain,
( spl34_1
| spl34_175
| ~ spl34_2
| ~ spl34_143 ),
inference(avatar_split_clause,[],[f1226,f1182,f537,f1338,f532]) ).
fof(f1338,plain,
( spl34_175
<=> sP3(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_175])]) ).
fof(f1226,plain,
( sP3(sK6)
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_143 ),
inference(resolution,[],[f1183,f539]) ).
fof(f1336,plain,
spl34_174,
inference(avatar_split_clause,[],[f426,f1334]) ).
fof(f426,plain,
! [X0] :
( sP5(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( sP5(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f175,f229]) ).
fof(f229,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)) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f175,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,[],[f174]) ).
fof(f174,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,[],[f69]) ).
fof(f69,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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f1332,plain,
spl34_173,
inference(avatar_split_clause,[],[f335,f1330]) ).
fof(f335,plain,
! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( sP0(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f134,f219]) ).
fof(f219,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(f134,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,[],[f133]) ).
fof(f133,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,[],[f7]) ).
fof(f7,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/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f1328,plain,
spl34_172,
inference(avatar_split_clause,[],[f325,f1326]) ).
fof(f1326,plain,
( spl34_172
<=> ! [X0] :
( v14_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_172])]) ).
fof(f325,plain,
! [X0] :
( v14_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,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/sandbox/benchmark/theBenchmark.p',cc4_lattices) ).
fof(f1324,plain,
spl34_171,
inference(avatar_split_clause,[],[f324,f1322]) ).
fof(f1322,plain,
( spl34_171
<=> ! [X0] :
( v13_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_171])]) ).
fof(f324,plain,
! [X0] :
( v13_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1307,plain,
( spl34_1
| spl34_170
| ~ spl34_2
| ~ spl34_142 ),
inference(avatar_split_clause,[],[f1222,f1178,f537,f1304,f532]) ).
fof(f1304,plain,
( spl34_170
<=> sP2(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_170])]) ).
fof(f1222,plain,
( sP2(sK6)
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_142 ),
inference(resolution,[],[f1179,f539]) ).
fof(f1302,plain,
spl34_169,
inference(avatar_split_clause,[],[f454,f1300]) ).
fof(f454,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f1298,plain,
spl34_168,
inference(avatar_split_clause,[],[f453,f1296]) ).
fof(f453,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f98]) ).
fof(f98,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f1294,plain,
spl34_167,
inference(avatar_split_clause,[],[f430,f1292]) ).
fof(f1292,plain,
( spl34_167
<=> ! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_167])]) ).
fof(f430,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f1290,plain,
spl34_166,
inference(avatar_split_clause,[],[f389,f1288]) ).
fof(f1288,plain,
( spl34_166
<=> ! [X0] :
( ~ v1_xboole_0(sK10(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_166])]) ).
fof(f389,plain,
! [X0] :
( ~ v1_xboole_0(sK10(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f1286,plain,
spl34_165,
inference(avatar_split_clause,[],[f387,f1284]) ).
fof(f1284,plain,
( spl34_165
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_165])]) ).
fof(f387,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f1282,plain,
spl34_164,
inference(avatar_split_clause,[],[f386,f1280]) ).
fof(f386,plain,
! [X0] :
( l3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l3_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_conlat_1) ).
fof(f1278,plain,
spl34_163,
inference(avatar_split_clause,[],[f385,f1276]) ).
fof(f385,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1274,plain,
spl34_162,
inference(avatar_split_clause,[],[f384,f1272]) ).
fof(f384,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1270,plain,
spl34_161,
inference(avatar_split_clause,[],[f348,f1268]) ).
fof(f348,plain,
! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( l2_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& ~ v3_conlat_1(k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f1266,plain,
spl34_160,
inference(avatar_split_clause,[],[f347,f1264]) ).
fof(f347,plain,
! [X0] :
( v4_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1262,plain,
spl34_159,
inference(avatar_split_clause,[],[f346,f1260]) ).
fof(f346,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1258,plain,
spl34_158,
inference(avatar_split_clause,[],[f342,f1256]) ).
fof(f1256,plain,
( spl34_158
<=> ! [X0] :
( ~ v1_xboole_0(sK9(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_158])]) ).
fof(f342,plain,
! [X0] :
( ~ v1_xboole_0(sK9(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f1254,plain,
spl34_157,
inference(avatar_split_clause,[],[f340,f1252]) ).
fof(f1252,plain,
( spl34_157
<=> ! [X0] :
( ~ v1_xboole_0(sK8(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_157])]) ).
fof(f340,plain,
! [X0] :
( ~ v1_xboole_0(sK8(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f1250,plain,
spl34_156,
inference(avatar_split_clause,[],[f338,f1248]) ).
fof(f338,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ~ v1_xboole_0(u2_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ~ v1_xboole_0(u2_conlat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_1) ).
fof(f1246,plain,
spl34_155,
inference(avatar_split_clause,[],[f337,f1244]) ).
fof(f337,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ v1_xboole_0(u1_conlat_1(X0))
| ~ l1_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( l1_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ~ v1_xboole_0(u1_conlat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_conlat_1) ).
fof(f1242,plain,
spl34_154,
inference(avatar_split_clause,[],[f315,f1240]) ).
fof(f315,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f1238,plain,
spl34_153,
inference(avatar_split_clause,[],[f301,f1236]) ).
fof(f301,plain,
! [X0] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f112,f233]) ).
fof(f233,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f1234,plain,
( spl34_1
| spl34_152
| ~ spl34_2
| ~ spl34_141 ),
inference(avatar_split_clause,[],[f1218,f1174,f537,f1231,f532]) ).
fof(f1218,plain,
( sP1(sK6)
| v3_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_141 ),
inference(resolution,[],[f1175,f539]) ).
fof(f1217,plain,
spl34_151,
inference(avatar_split_clause,[],[f464,f1215]) ).
fof(f464,plain,
! [X0,X1] : v1_funct_2(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( v1_funct_2(sK18(X0,X1),X0,X1)
& v1_funct_1(sK18(X0,X1))
& v1_relat_1(sK18(X0,X1))
& m1_relset_1(sK18(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f75,f263]) ).
fof(f263,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_2(sK18(X0,X1),X0,X1)
& v1_funct_1(sK18(X0,X1))
& v1_relat_1(sK18(X0,X1))
& m1_relset_1(sK18(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f75,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f1213,plain,
spl34_150,
inference(avatar_split_clause,[],[f461,f1211]) ).
fof(f461,plain,
! [X0,X1] : m1_relset_1(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f264]) ).
fof(f1209,plain,
( spl34_149
| ~ spl34_23
| ~ spl34_55 ),
inference(avatar_split_clause,[],[f859,f795,f642,f1206]) ).
fof(f859,plain,
( l2_lattices(sK31)
| ~ spl34_23
| ~ spl34_55 ),
inference(resolution,[],[f796,f644]) ).
fof(f1204,plain,
spl34_148,
inference(avatar_split_clause,[],[f458,f1202]) ).
fof(f458,plain,
! [X0,X1] : m1_relset_1(sK17(X0,X1),X0,X1),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0,X1] :
( v1_funct_1(sK17(X0,X1))
& v1_relat_1(sK17(X0,X1))
& m1_relset_1(sK17(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f78,f261]) ).
fof(f261,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_funct_1(sK17(X0,X1))
& v1_relat_1(sK17(X0,X1))
& m1_relset_1(sK17(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f78,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f1200,plain,
spl34_147,
inference(avatar_split_clause,[],[f457,f1198]) ).
fof(f457,plain,
! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f52,f259]) ).
fof(f259,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK16(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f52,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f1196,plain,
spl34_146,
inference(avatar_split_clause,[],[f456,f1194]) ).
fof(f456,plain,
! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1] : m1_relset_1(sK15(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f50,f257]) ).
fof(f257,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK15(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f50,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f1192,plain,
spl34_145,
inference(avatar_split_clause,[],[f440,f1190]) ).
fof(f1190,plain,
( spl34_145
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_145])]) ).
fof(f440,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,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/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f1188,plain,
spl34_144,
inference(avatar_split_clause,[],[f439,f1186]) ).
fof(f439,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f1184,plain,
spl34_143,
inference(avatar_split_clause,[],[f383,f1182]) ).
fof(f383,plain,
! [X0] :
( sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( sP3(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(definition_folding,[],[f157,f225]) ).
fof(f225,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f157,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_conlat_2) ).
fof(f1180,plain,
spl34_142,
inference(avatar_split_clause,[],[f369,f1178]) ).
fof(f369,plain,
! [X0] :
( sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0] :
( sP2(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(definition_folding,[],[f155,f223]) ).
fof(f223,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f155,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_conlat_1) ).
fof(f1176,plain,
spl34_141,
inference(avatar_split_clause,[],[f358,f1174]) ).
fof(f358,plain,
! [X0] :
( sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( sP1(X0)
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(definition_folding,[],[f153,f221]) ).
fof(f221,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f153,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ l2_conlat_1(X0)
| v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_conlat_1) ).
fof(f1172,plain,
( spl34_140
| ~ spl34_20
| ~ spl34_55 ),
inference(avatar_split_clause,[],[f858,f795,f627,f1169]) ).
fof(f858,plain,
( l2_lattices(sK30)
| ~ spl34_20
| ~ spl34_55 ),
inference(resolution,[],[f796,f629]) ).
fof(f1167,plain,
( spl34_139
| ~ spl34_11
| ~ spl34_55 ),
inference(avatar_split_clause,[],[f857,f795,f582,f1164]) ).
fof(f857,plain,
( l2_lattices(sK25)
| ~ spl34_11
| ~ spl34_55 ),
inference(resolution,[],[f796,f584]) ).
fof(f1162,plain,
( spl34_138
| ~ spl34_46
| ~ spl34_54 ),
inference(avatar_split_clause,[],[f856,f791,f757,f1159]) ).
fof(f856,plain,
( l1_lattices(sK33)
| ~ spl34_46
| ~ spl34_54 ),
inference(resolution,[],[f792,f759]) ).
fof(f1157,plain,
( spl34_137
| ~ spl34_33
| ~ spl34_54 ),
inference(avatar_split_clause,[],[f855,f791,f692,f1154]) ).
fof(f855,plain,
( l1_lattices(sK32)
| ~ spl34_33
| ~ spl34_54 ),
inference(resolution,[],[f792,f694]) ).
fof(f1152,plain,
( spl34_136
| ~ spl34_23
| ~ spl34_54 ),
inference(avatar_split_clause,[],[f854,f791,f642,f1149]) ).
fof(f854,plain,
( l1_lattices(sK31)
| ~ spl34_23
| ~ spl34_54 ),
inference(resolution,[],[f792,f644]) ).
fof(f1147,plain,
( spl34_135
| ~ spl34_20
| ~ spl34_54 ),
inference(avatar_split_clause,[],[f853,f791,f627,f1144]) ).
fof(f853,plain,
( l1_lattices(sK30)
| ~ spl34_20
| ~ spl34_54 ),
inference(resolution,[],[f792,f629]) ).
fof(f1136,plain,
spl34_134,
inference(avatar_split_clause,[],[f455,f1134]) ).
fof(f1134,plain,
( spl34_134
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_134])]) ).
fof(f455,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f1132,plain,
spl34_133,
inference(avatar_split_clause,[],[f433,f1130]) ).
fof(f433,plain,
! [X0] : m1_subset_1(sK13(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
! [X0] :
( v1_xboole_0(sK13(X0))
& m1_subset_1(sK13(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f79,f253]) ).
fof(f253,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK13(X0))
& m1_subset_1(sK13(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f1128,plain,
( spl34_132
| ~ spl34_11
| ~ spl34_54 ),
inference(avatar_split_clause,[],[f852,f791,f582,f1125]) ).
fof(f852,plain,
( l1_lattices(sK25)
| ~ spl34_11
| ~ spl34_54 ),
inference(resolution,[],[f792,f584]) ).
fof(f1123,plain,
spl34_131,
inference(avatar_split_clause,[],[f425,f1121]) ).
fof(f425,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,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)) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f229]) ).
fof(f1119,plain,
spl34_130,
inference(avatar_split_clause,[],[f424,f1117]) ).
fof(f1117,plain,
( spl34_130
<=> ! [X0] :
( v9_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_130])]) ).
fof(f424,plain,
! [X0] :
( v9_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1115,plain,
spl34_129,
inference(avatar_split_clause,[],[f423,f1113]) ).
fof(f1113,plain,
( spl34_129
<=> ! [X0] :
( v8_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_129])]) ).
fof(f423,plain,
! [X0] :
( v8_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1111,plain,
spl34_128,
inference(avatar_split_clause,[],[f422,f1109]) ).
fof(f1109,plain,
( spl34_128
<=> ! [X0] :
( v7_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_128])]) ).
fof(f422,plain,
! [X0] :
( v7_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1107,plain,
spl34_127,
inference(avatar_split_clause,[],[f421,f1105]) ).
fof(f1105,plain,
( spl34_127
<=> ! [X0] :
( v6_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_127])]) ).
fof(f421,plain,
! [X0] :
( v6_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1103,plain,
spl34_126,
inference(avatar_split_clause,[],[f420,f1101]) ).
fof(f1101,plain,
( spl34_126
<=> ! [X0] :
( v5_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_126])]) ).
fof(f420,plain,
! [X0] :
( v5_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1099,plain,
spl34_125,
inference(avatar_split_clause,[],[f419,f1097]) ).
fof(f1097,plain,
( spl34_125
<=> ! [X0] :
( v4_lattices(k1_lattice2(X0))
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_125])]) ).
fof(f419,plain,
! [X0] :
( v4_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1095,plain,
spl34_124,
inference(avatar_split_clause,[],[f418,f1093]) ).
fof(f418,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1091,plain,
spl34_123,
inference(avatar_split_clause,[],[f417,f1089]) ).
fof(f417,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f1087,plain,
spl34_122,
inference(avatar_split_clause,[],[f415,f1085]) ).
fof(f415,plain,
! [X0] :
( v4_lattice3(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ( v4_lattice3(k1_lattice2(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)) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f227]) ).
fof(f1083,plain,
( spl34_121
| ~ spl34_18
| ~ spl34_53 ),
inference(avatar_split_clause,[],[f851,f787,f617,f1080]) ).
fof(f1080,plain,
( spl34_121
<=> l1_conlat_1(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_121])]) ).
fof(f851,plain,
( l1_conlat_1(sK29)
| ~ spl34_18
| ~ spl34_53 ),
inference(resolution,[],[f788,f619]) ).
fof(f1078,plain,
spl34_120,
inference(avatar_split_clause,[],[f414,f1076]) ).
fof(f414,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1074,plain,
spl34_119,
inference(avatar_split_clause,[],[f413,f1072]) ).
fof(f1072,plain,
( spl34_119
<=> ! [X0] :
( v9_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_119])]) ).
fof(f413,plain,
! [X0] :
( v9_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1070,plain,
spl34_118,
inference(avatar_split_clause,[],[f412,f1068]) ).
fof(f1068,plain,
( spl34_118
<=> ! [X0] :
( v8_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_118])]) ).
fof(f412,plain,
! [X0] :
( v8_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1066,plain,
spl34_117,
inference(avatar_split_clause,[],[f411,f1064]) ).
fof(f1064,plain,
( spl34_117
<=> ! [X0] :
( v7_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_117])]) ).
fof(f411,plain,
! [X0] :
( v7_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1062,plain,
spl34_116,
inference(avatar_split_clause,[],[f410,f1060]) ).
fof(f1060,plain,
( spl34_116
<=> ! [X0] :
( v6_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_116])]) ).
fof(f410,plain,
! [X0] :
( v6_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1058,plain,
spl34_115,
inference(avatar_split_clause,[],[f409,f1056]) ).
fof(f1056,plain,
( spl34_115
<=> ! [X0] :
( v5_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_115])]) ).
fof(f409,plain,
! [X0] :
( v5_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1054,plain,
spl34_114,
inference(avatar_split_clause,[],[f408,f1052]) ).
fof(f1052,plain,
( spl34_114
<=> ! [X0] :
( v4_lattices(k1_lattice2(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_114])]) ).
fof(f408,plain,
! [X0] :
( v4_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1050,plain,
spl34_113,
inference(avatar_split_clause,[],[f407,f1048]) ).
fof(f407,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1046,plain,
spl34_112,
inference(avatar_split_clause,[],[f406,f1044]) ).
fof(f406,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1042,plain,
spl34_111,
inference(avatar_split_clause,[],[f382,f1040]) ).
fof(f382,plain,
! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v15_lattices(k11_conlat_1(X0))
& v14_lattices(k11_conlat_1(X0))
& v13_lattices(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f225]) ).
fof(f1038,plain,
( spl34_110
| ~ spl34_15
| ~ spl34_53 ),
inference(avatar_split_clause,[],[f850,f787,f602,f1035]) ).
fof(f1035,plain,
( spl34_110
<=> l1_conlat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_110])]) ).
fof(f850,plain,
( l1_conlat_1(sK28)
| ~ spl34_15
| ~ spl34_53 ),
inference(resolution,[],[f788,f604]) ).
fof(f1033,plain,
spl34_109,
inference(avatar_split_clause,[],[f381,f1031]) ).
fof(f1031,plain,
( spl34_109
<=> ! [X0] :
( v15_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_109])]) ).
fof(f381,plain,
! [X0] :
( v15_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1029,plain,
spl34_108,
inference(avatar_split_clause,[],[f380,f1027]) ).
fof(f1027,plain,
( spl34_108
<=> ! [X0] :
( v14_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_108])]) ).
fof(f380,plain,
! [X0] :
( v14_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1025,plain,
spl34_107,
inference(avatar_split_clause,[],[f379,f1023]) ).
fof(f1023,plain,
( spl34_107
<=> ! [X0] :
( v13_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_107])]) ).
fof(f379,plain,
! [X0] :
( v13_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1021,plain,
spl34_106,
inference(avatar_split_clause,[],[f378,f1019]) ).
fof(f378,plain,
! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1017,plain,
spl34_105,
inference(avatar_split_clause,[],[f377,f1015]) ).
fof(f1015,plain,
( spl34_105
<=> ! [X0] :
( v9_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_105])]) ).
fof(f377,plain,
! [X0] :
( v9_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1013,plain,
spl34_104,
inference(avatar_split_clause,[],[f376,f1011]) ).
fof(f1011,plain,
( spl34_104
<=> ! [X0] :
( v8_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_104])]) ).
fof(f376,plain,
! [X0] :
( v8_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1009,plain,
spl34_103,
inference(avatar_split_clause,[],[f375,f1007]) ).
fof(f1007,plain,
( spl34_103
<=> ! [X0] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_103])]) ).
fof(f375,plain,
! [X0] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1005,plain,
spl34_102,
inference(avatar_split_clause,[],[f374,f1003]) ).
fof(f1003,plain,
( spl34_102
<=> ! [X0] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_102])]) ).
fof(f374,plain,
! [X0] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f1001,plain,
spl34_101,
inference(avatar_split_clause,[],[f373,f999]) ).
fof(f999,plain,
( spl34_101
<=> ! [X0] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_101])]) ).
fof(f373,plain,
! [X0] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f997,plain,
spl34_100,
inference(avatar_split_clause,[],[f372,f995]) ).
fof(f995,plain,
( spl34_100
<=> ! [X0] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_100])]) ).
fof(f372,plain,
! [X0] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f993,plain,
( spl34_99
| ~ spl34_10
| ~ spl34_53 ),
inference(avatar_split_clause,[],[f849,f787,f577,f990]) ).
fof(f990,plain,
( spl34_99
<=> l1_conlat_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_99])]) ).
fof(f849,plain,
( l1_conlat_1(sK24)
| ~ spl34_10
| ~ spl34_53 ),
inference(resolution,[],[f788,f579]) ).
fof(f988,plain,
spl34_98,
inference(avatar_split_clause,[],[f371,f986]) ).
fof(f371,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f984,plain,
spl34_97,
inference(avatar_split_clause,[],[f370,f982]) ).
fof(f370,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f980,plain,
spl34_96,
inference(avatar_split_clause,[],[f368,f978]) ).
fof(f368,plain,
! [X0] :
( v4_lattice3(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( ( v4_lattice3(k11_conlat_1(X0))
& v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f976,plain,
spl34_95,
inference(avatar_split_clause,[],[f367,f974]) ).
fof(f367,plain,
! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f972,plain,
spl34_94,
inference(avatar_split_clause,[],[f366,f970]) ).
fof(f970,plain,
( spl34_94
<=> ! [X0] :
( v9_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_94])]) ).
fof(f366,plain,
! [X0] :
( v9_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f968,plain,
spl34_93,
inference(avatar_split_clause,[],[f365,f966]) ).
fof(f966,plain,
( spl34_93
<=> ! [X0] :
( v8_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_93])]) ).
fof(f365,plain,
! [X0] :
( v8_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f964,plain,
spl34_92,
inference(avatar_split_clause,[],[f364,f962]) ).
fof(f962,plain,
( spl34_92
<=> ! [X0] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_92])]) ).
fof(f364,plain,
! [X0] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f960,plain,
spl34_91,
inference(avatar_split_clause,[],[f363,f958]) ).
fof(f958,plain,
( spl34_91
<=> ! [X0] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_91])]) ).
fof(f363,plain,
! [X0] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f956,plain,
spl34_90,
inference(avatar_split_clause,[],[f362,f954]) ).
fof(f954,plain,
( spl34_90
<=> ! [X0] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_90])]) ).
fof(f362,plain,
! [X0] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f952,plain,
spl34_89,
inference(avatar_split_clause,[],[f361,f950]) ).
fof(f950,plain,
( spl34_89
<=> ! [X0] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_89])]) ).
fof(f361,plain,
! [X0] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f948,plain,
( spl34_88
| ~ spl34_8
| ~ spl34_52 ),
inference(avatar_split_clause,[],[f847,f783,f567,f945]) ).
fof(f945,plain,
( spl34_88
<=> l1_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_88])]) ).
fof(f847,plain,
( l1_struct_0(sK22)
| ~ spl34_8
| ~ spl34_52 ),
inference(resolution,[],[f784,f569]) ).
fof(f943,plain,
spl34_87,
inference(avatar_split_clause,[],[f360,f941]) ).
fof(f360,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f939,plain,
spl34_86,
inference(avatar_split_clause,[],[f359,f937]) ).
fof(f937,plain,
( spl34_86
<=> ! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_86])]) ).
fof(f359,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f935,plain,
spl34_85,
inference(avatar_split_clause,[],[f357,f933]) ).
fof(f357,plain,
! [X0] :
( v10_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( ( v10_lattices(k11_conlat_1(X0))
& v9_lattices(k11_conlat_1(X0))
& v8_lattices(k11_conlat_1(X0))
& v7_lattices(k11_conlat_1(X0))
& v6_lattices(k11_conlat_1(X0))
& v5_lattices(k11_conlat_1(X0))
& v4_lattices(k11_conlat_1(X0))
& v3_lattices(k11_conlat_1(X0))
& ~ v3_struct_0(k11_conlat_1(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f221]) ).
fof(f931,plain,
spl34_84,
inference(avatar_split_clause,[],[f356,f929]) ).
fof(f929,plain,
( spl34_84
<=> ! [X0] :
( v9_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_84])]) ).
fof(f356,plain,
! [X0] :
( v9_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f927,plain,
spl34_83,
inference(avatar_split_clause,[],[f355,f925]) ).
fof(f925,plain,
( spl34_83
<=> ! [X0] :
( v8_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_83])]) ).
fof(f355,plain,
! [X0] :
( v8_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f923,plain,
spl34_82,
inference(avatar_split_clause,[],[f354,f921]) ).
fof(f921,plain,
( spl34_82
<=> ! [X0] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_82])]) ).
fof(f354,plain,
! [X0] :
( v7_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f919,plain,
spl34_81,
inference(avatar_split_clause,[],[f353,f917]) ).
fof(f917,plain,
( spl34_81
<=> ! [X0] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_81])]) ).
fof(f353,plain,
! [X0] :
( v6_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f915,plain,
spl34_80,
inference(avatar_split_clause,[],[f352,f913]) ).
fof(f913,plain,
( spl34_80
<=> ! [X0] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_80])]) ).
fof(f352,plain,
! [X0] :
( v5_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f911,plain,
spl34_79,
inference(avatar_split_clause,[],[f351,f909]) ).
fof(f909,plain,
( spl34_79
<=> ! [X0] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_79])]) ).
fof(f351,plain,
! [X0] :
( v4_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f907,plain,
spl34_78,
inference(avatar_split_clause,[],[f350,f905]) ).
fof(f350,plain,
! [X0] :
( v3_lattices(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f903,plain,
( spl34_77
| ~ spl34_7
| ~ spl34_51 ),
inference(avatar_split_clause,[],[f846,f779,f562,f900]) ).
fof(f900,plain,
( spl34_77
<=> l1_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_77])]) ).
fof(f846,plain,
( l1_struct_0(sK21)
| ~ spl34_7
| ~ spl34_51 ),
inference(resolution,[],[f780,f564]) ).
fof(f898,plain,
spl34_76,
inference(avatar_split_clause,[],[f349,f896]) ).
fof(f896,plain,
( spl34_76
<=> ! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_76])]) ).
fof(f349,plain,
! [X0] :
( ~ v3_struct_0(k11_conlat_1(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f894,plain,
spl34_75,
inference(avatar_split_clause,[],[f336,f892]) ).
fof(f336,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f890,plain,
spl34_74,
inference(avatar_split_clause,[],[f319,f888]) ).
fof(f319,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f886,plain,
spl34_73,
inference(avatar_split_clause,[],[f318,f884]) ).
fof(f318,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f882,plain,
spl34_72,
inference(avatar_split_clause,[],[f314,f880]) ).
fof(f314,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( v1_relat_1(X0)
=> v1_relat_1(k4_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f878,plain,
spl34_71,
inference(avatar_split_clause,[],[f308,f876]) ).
fof(f308,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f874,plain,
spl34_70,
inference(avatar_split_clause,[],[f305,f872]) ).
fof(f305,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f870,plain,
spl34_69,
inference(avatar_split_clause,[],[f302,f868]) ).
fof(f868,plain,
( spl34_69
<=> ! [X0] :
( ~ v1_xboole_0(sK7(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_69])]) ).
fof(f302,plain,
! [X0] :
( ~ v1_xboole_0(sK7(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f866,plain,
( spl34_68
| ~ spl34_2
| ~ spl34_53 ),
inference(avatar_split_clause,[],[f848,f787,f537,f863]) ).
fof(f863,plain,
( spl34_68
<=> l1_conlat_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_68])]) ).
fof(f848,plain,
( l1_conlat_1(sK6)
| ~ spl34_2
| ~ spl34_53 ),
inference(resolution,[],[f788,f539]) ).
fof(f845,plain,
spl34_67,
inference(avatar_split_clause,[],[f463,f843]) ).
fof(f843,plain,
( spl34_67
<=> ! [X0,X1] : v1_funct_1(sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_67])]) ).
fof(f463,plain,
! [X0,X1] : v1_funct_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f264]) ).
fof(f841,plain,
spl34_66,
inference(avatar_split_clause,[],[f462,f839]) ).
fof(f462,plain,
! [X0,X1] : v1_relat_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f264]) ).
fof(f837,plain,
spl34_65,
inference(avatar_split_clause,[],[f460,f835]) ).
fof(f835,plain,
( spl34_65
<=> ! [X0,X1] : v1_funct_1(sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_65])]) ).
fof(f460,plain,
! [X0,X1] : v1_funct_1(sK17(X0,X1)),
inference(cnf_transformation,[],[f262]) ).
fof(f833,plain,
spl34_64,
inference(avatar_split_clause,[],[f459,f831]) ).
fof(f459,plain,
! [X0,X1] : v1_relat_1(sK17(X0,X1)),
inference(cnf_transformation,[],[f262]) ).
fof(f829,plain,
spl34_63,
inference(avatar_split_clause,[],[f432,f827]) ).
fof(f432,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] : m1_subset_1(sK12(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f51,f251]) ).
fof(f251,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK12(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f51,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f825,plain,
spl34_62,
inference(avatar_split_clause,[],[f334,f823]) ).
fof(f823,plain,
( spl34_62
<=> ! [X0] :
( v9_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_62])]) ).
fof(f334,plain,
! [X0] :
( v9_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,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,[],[f219]) ).
fof(f821,plain,
spl34_61,
inference(avatar_split_clause,[],[f333,f819]) ).
fof(f819,plain,
( spl34_61
<=> ! [X0] :
( v8_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_61])]) ).
fof(f333,plain,
! [X0] :
( v8_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f817,plain,
spl34_60,
inference(avatar_split_clause,[],[f332,f815]) ).
fof(f815,plain,
( spl34_60
<=> ! [X0] :
( v7_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_60])]) ).
fof(f332,plain,
! [X0] :
( v7_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f813,plain,
spl34_59,
inference(avatar_split_clause,[],[f331,f811]) ).
fof(f811,plain,
( spl34_59
<=> ! [X0] :
( v6_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_59])]) ).
fof(f331,plain,
! [X0] :
( v6_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f809,plain,
spl34_58,
inference(avatar_split_clause,[],[f330,f807]) ).
fof(f807,plain,
( spl34_58
<=> ! [X0] :
( v5_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_58])]) ).
fof(f330,plain,
! [X0] :
( v5_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f805,plain,
spl34_57,
inference(avatar_split_clause,[],[f329,f803]) ).
fof(f803,plain,
( spl34_57
<=> ! [X0] :
( v4_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_57])]) ).
fof(f329,plain,
! [X0] :
( v4_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f801,plain,
spl34_56,
inference(avatar_split_clause,[],[f328,f799]) ).
fof(f799,plain,
( spl34_56
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_56])]) ).
fof(f328,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f797,plain,
spl34_55,
inference(avatar_split_clause,[],[f317,f795]) ).
fof(f317,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f793,plain,
spl34_54,
inference(avatar_split_clause,[],[f316,f791]) ).
fof(f316,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f789,plain,
spl34_53,
inference(avatar_split_clause,[],[f311,f787]) ).
fof(f311,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( l1_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( l2_conlat_1(X0)
=> l1_conlat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(f785,plain,
spl34_52,
inference(avatar_split_clause,[],[f304,f783]) ).
fof(f304,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f781,plain,
spl34_51,
inference(avatar_split_clause,[],[f303,f779]) ).
fof(f303,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f777,plain,
spl34_50,
inference(avatar_split_clause,[],[f435,f775]) ).
fof(f435,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f773,plain,
spl34_49,
inference(avatar_split_clause,[],[f434,f771]) ).
fof(f434,plain,
! [X0] : v1_xboole_0(sK13(X0)),
inference(cnf_transformation,[],[f254]) ).
fof(f769,plain,
spl34_48,
inference(avatar_split_clause,[],[f300,f767]) ).
fof(f767,plain,
( spl34_48
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_48])]) ).
fof(f300,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f765,plain,
spl34_47,
inference(avatar_split_clause,[],[f530,f762]) ).
fof(f530,plain,
v3_lattices(sK33),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( v3_lattices(sK33)
& l3_lattices(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f81,f294]) ).
fof(f294,plain,
( ? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) )
=> ( v3_lattices(sK33)
& l3_lattices(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f81,axiom,
? [X0] :
( v3_lattices(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_lattices) ).
fof(f760,plain,
spl34_46,
inference(avatar_split_clause,[],[f529,f757]) ).
fof(f529,plain,
l3_lattices(sK33),
inference(cnf_transformation,[],[f295]) ).
fof(f755,plain,
spl34_45,
inference(avatar_split_clause,[],[f528,f752]) ).
fof(f752,plain,
( spl34_45
<=> v15_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_45])]) ).
fof(f528,plain,
v15_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
( v15_lattices(sK32)
& v14_lattices(sK32)
& v13_lattices(sK32)
& v10_lattices(sK32)
& v9_lattices(sK32)
& v8_lattices(sK32)
& v7_lattices(sK32)
& v6_lattices(sK32)
& v5_lattices(sK32)
& v4_lattices(sK32)
& v3_lattices(sK32)
& ~ v3_struct_0(sK32)
& l3_lattices(sK32) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f74,f292]) ).
fof(f292,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(sK32)
& v14_lattices(sK32)
& v13_lattices(sK32)
& v10_lattices(sK32)
& v9_lattices(sK32)
& v8_lattices(sK32)
& v7_lattices(sK32)
& v6_lattices(sK32)
& v5_lattices(sK32)
& v4_lattices(sK32)
& v3_lattices(sK32)
& ~ v3_struct_0(sK32)
& l3_lattices(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f74,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/sandbox/benchmark/theBenchmark.p',rc11_lattices) ).
fof(f750,plain,
spl34_44,
inference(avatar_split_clause,[],[f527,f747]) ).
fof(f747,plain,
( spl34_44
<=> v14_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_44])]) ).
fof(f527,plain,
v14_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f745,plain,
spl34_43,
inference(avatar_split_clause,[],[f526,f742]) ).
fof(f742,plain,
( spl34_43
<=> v13_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_43])]) ).
fof(f526,plain,
v13_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f740,plain,
spl34_42,
inference(avatar_split_clause,[],[f525,f737]) ).
fof(f525,plain,
v10_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f735,plain,
spl34_41,
inference(avatar_split_clause,[],[f524,f732]) ).
fof(f732,plain,
( spl34_41
<=> v9_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_41])]) ).
fof(f524,plain,
v9_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f730,plain,
spl34_40,
inference(avatar_split_clause,[],[f523,f727]) ).
fof(f727,plain,
( spl34_40
<=> v8_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_40])]) ).
fof(f523,plain,
v8_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f725,plain,
spl34_39,
inference(avatar_split_clause,[],[f522,f722]) ).
fof(f722,plain,
( spl34_39
<=> v7_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_39])]) ).
fof(f522,plain,
v7_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f720,plain,
spl34_38,
inference(avatar_split_clause,[],[f521,f717]) ).
fof(f521,plain,
v6_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f715,plain,
spl34_37,
inference(avatar_split_clause,[],[f520,f712]) ).
fof(f520,plain,
v5_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f710,plain,
spl34_36,
inference(avatar_split_clause,[],[f519,f707]) ).
fof(f707,plain,
( spl34_36
<=> v4_lattices(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_36])]) ).
fof(f519,plain,
v4_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f705,plain,
spl34_35,
inference(avatar_split_clause,[],[f518,f702]) ).
fof(f518,plain,
v3_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f700,plain,
~ spl34_34,
inference(avatar_split_clause,[],[f517,f697]) ).
fof(f517,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f695,plain,
spl34_33,
inference(avatar_split_clause,[],[f516,f692]) ).
fof(f516,plain,
l3_lattices(sK32),
inference(cnf_transformation,[],[f293]) ).
fof(f690,plain,
spl34_32,
inference(avatar_split_clause,[],[f515,f687]) ).
fof(f515,plain,
v10_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
( v10_lattices(sK31)
& v9_lattices(sK31)
& v8_lattices(sK31)
& v7_lattices(sK31)
& v6_lattices(sK31)
& v5_lattices(sK31)
& v4_lattices(sK31)
& v3_lattices(sK31)
& ~ v3_struct_0(sK31)
& l3_lattices(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f89,f290]) ).
fof(f290,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(sK31)
& v9_lattices(sK31)
& v8_lattices(sK31)
& v7_lattices(sK31)
& v6_lattices(sK31)
& v5_lattices(sK31)
& v4_lattices(sK31)
& v3_lattices(sK31)
& ~ v3_struct_0(sK31)
& l3_lattices(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f89,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/sandbox/benchmark/theBenchmark.p',rc9_lattices) ).
fof(f685,plain,
spl34_31,
inference(avatar_split_clause,[],[f514,f682]) ).
fof(f682,plain,
( spl34_31
<=> v9_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_31])]) ).
fof(f514,plain,
v9_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f680,plain,
spl34_30,
inference(avatar_split_clause,[],[f513,f677]) ).
fof(f677,plain,
( spl34_30
<=> v8_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_30])]) ).
fof(f513,plain,
v8_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f675,plain,
spl34_29,
inference(avatar_split_clause,[],[f512,f672]) ).
fof(f672,plain,
( spl34_29
<=> v7_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_29])]) ).
fof(f512,plain,
v7_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f670,plain,
spl34_28,
inference(avatar_split_clause,[],[f511,f667]) ).
fof(f511,plain,
v6_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f665,plain,
spl34_27,
inference(avatar_split_clause,[],[f510,f662]) ).
fof(f510,plain,
v5_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f660,plain,
spl34_26,
inference(avatar_split_clause,[],[f509,f657]) ).
fof(f657,plain,
( spl34_26
<=> v4_lattices(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_26])]) ).
fof(f509,plain,
v4_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f655,plain,
spl34_25,
inference(avatar_split_clause,[],[f508,f652]) ).
fof(f508,plain,
v3_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f650,plain,
~ spl34_24,
inference(avatar_split_clause,[],[f507,f647]) ).
fof(f507,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f645,plain,
spl34_23,
inference(avatar_split_clause,[],[f506,f642]) ).
fof(f506,plain,
l3_lattices(sK31),
inference(cnf_transformation,[],[f291]) ).
fof(f640,plain,
spl34_22,
inference(avatar_split_clause,[],[f505,f637]) ).
fof(f505,plain,
v3_lattices(sK30),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
( v3_lattices(sK30)
& ~ v3_struct_0(sK30)
& l3_lattices(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f85,f288]) ).
fof(f288,plain,
( ? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( v3_lattices(sK30)
& ~ v3_struct_0(sK30)
& l3_lattices(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f85,axiom,
? [X0] :
( v3_lattices(X0)
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_lattices) ).
fof(f635,plain,
~ spl34_21,
inference(avatar_split_clause,[],[f504,f632]) ).
fof(f504,plain,
~ v3_struct_0(sK30),
inference(cnf_transformation,[],[f289]) ).
fof(f630,plain,
spl34_20,
inference(avatar_split_clause,[],[f503,f627]) ).
fof(f503,plain,
l3_lattices(sK30),
inference(cnf_transformation,[],[f289]) ).
fof(f625,plain,
spl34_19,
inference(avatar_split_clause,[],[f502,f622]) ).
fof(f502,plain,
v4_conlat_1(sK29),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( v4_conlat_1(sK29)
& l2_conlat_1(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f83,f286]) ).
fof(f286,plain,
( ? [X0] :
( v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v4_conlat_1(sK29)
& l2_conlat_1(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f83,axiom,
? [X0] :
( v4_conlat_1(X0)
& l2_conlat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_conlat_1) ).
fof(f620,plain,
spl34_18,
inference(avatar_split_clause,[],[f501,f617]) ).
fof(f501,plain,
l2_conlat_1(sK29),
inference(cnf_transformation,[],[f287]) ).
fof(f615,plain,
spl34_17,
inference(avatar_split_clause,[],[f500,f612]) ).
fof(f500,plain,
v4_conlat_1(sK28),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( v4_conlat_1(sK28)
& ~ v3_conlat_1(sK28)
& l2_conlat_1(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f86,f284]) ).
fof(f284,plain,
( ? [X0] :
( v4_conlat_1(X0)
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( v4_conlat_1(sK28)
& ~ v3_conlat_1(sK28)
& l2_conlat_1(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f86,axiom,
? [X0] :
( v4_conlat_1(X0)
& ~ v3_conlat_1(X0)
& l2_conlat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_conlat_1) ).
fof(f610,plain,
~ spl34_16,
inference(avatar_split_clause,[],[f499,f607]) ).
fof(f499,plain,
~ v3_conlat_1(sK28),
inference(cnf_transformation,[],[f285]) ).
fof(f605,plain,
spl34_15,
inference(avatar_split_clause,[],[f498,f602]) ).
fof(f498,plain,
l2_conlat_1(sK28),
inference(cnf_transformation,[],[f285]) ).
fof(f600,plain,
~ spl34_14,
inference(avatar_split_clause,[],[f497,f597]) ).
fof(f597,plain,
( spl34_14
<=> v3_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_14])]) ).
fof(f497,plain,
~ v3_struct_0(sK27),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ~ v3_struct_0(sK27)
& l1_struct_0(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f82,f282]) ).
fof(f282,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK27)
& l1_struct_0(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f82,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f595,plain,
spl34_13,
inference(avatar_split_clause,[],[f496,f592]) ).
fof(f592,plain,
( spl34_13
<=> l1_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_13])]) ).
fof(f496,plain,
l1_struct_0(sK27),
inference(cnf_transformation,[],[f283]) ).
fof(f590,plain,
spl34_12,
inference(avatar_split_clause,[],[f495,f587]) ).
fof(f495,plain,
v1_xboole_0(sK26),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
v1_xboole_0(sK26),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f77,f280]) ).
fof(f280,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK26) ),
introduced(choice_axiom,[]) ).
fof(f77,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f585,plain,
spl34_11,
inference(avatar_split_clause,[],[f494,f582]) ).
fof(f494,plain,
l3_lattices(sK25),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
l3_lattices(sK25),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f48,f278]) ).
fof(f278,plain,
( ? [X0] : l3_lattices(X0)
=> l3_lattices(sK25) ),
introduced(choice_axiom,[]) ).
fof(f48,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_lattices) ).
fof(f580,plain,
spl34_10,
inference(avatar_split_clause,[],[f493,f577]) ).
fof(f493,plain,
l2_conlat_1(sK24),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
l2_conlat_1(sK24),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f46,f276]) ).
fof(f276,plain,
( ? [X0] : l2_conlat_1(X0)
=> l2_conlat_1(sK24) ),
introduced(choice_axiom,[]) ).
fof(f46,axiom,
? [X0] : l2_conlat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_conlat_1) ).
fof(f575,plain,
spl34_9,
inference(avatar_split_clause,[],[f492,f572]) ).
fof(f572,plain,
( spl34_9
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_9])]) ).
fof(f492,plain,
l1_struct_0(sK23),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
l1_struct_0(sK23),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f45,f274]) ).
fof(f274,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK23) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f570,plain,
spl34_8,
inference(avatar_split_clause,[],[f491,f567]) ).
fof(f491,plain,
l2_lattices(sK22),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
l2_lattices(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f47,f272]) ).
fof(f272,plain,
( ? [X0] : l2_lattices(X0)
=> l2_lattices(sK22) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_lattices) ).
fof(f565,plain,
spl34_7,
inference(avatar_split_clause,[],[f490,f562]) ).
fof(f490,plain,
l1_lattices(sK21),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
l1_lattices(sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f44,f270]) ).
fof(f270,plain,
( ? [X0] : l1_lattices(X0)
=> l1_lattices(sK21) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_lattices) ).
fof(f560,plain,
spl34_6,
inference(avatar_split_clause,[],[f489,f557]) ).
fof(f557,plain,
( spl34_6
<=> l1_conlat_1(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f489,plain,
l1_conlat_1(sK20),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
l1_conlat_1(sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f43,f268]) ).
fof(f268,plain,
( ? [X0] : l1_conlat_1(X0)
=> l1_conlat_1(sK20) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
? [X0] : l1_conlat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_conlat_1) ).
fof(f555,plain,
~ spl34_5,
inference(avatar_split_clause,[],[f488,f552]) ).
fof(f488,plain,
~ v1_xboole_0(sK19),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
~ v1_xboole_0(sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f80,f266]) ).
fof(f266,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK19) ),
introduced(choice_axiom,[]) ).
fof(f80,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f550,plain,
spl34_4,
inference(avatar_split_clause,[],[f299,f547]) ).
fof(f299,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f545,plain,
~ spl34_3,
inference(avatar_split_clause,[],[f298,f542]) ).
fof(f298,plain,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK6)),k1_lattice2(k11_conlat_1(sK6))),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK6)),k1_lattice2(k11_conlat_1(sK6)))
& l2_conlat_1(sK6)
& ~ v3_conlat_1(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f111,f231]) ).
fof(f231,plain,
( ? [X0] :
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> ( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(sK6)),k1_lattice2(k11_conlat_1(sK6)))
& l2_conlat_1(sK6)
& ~ v3_conlat_1(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
? [X0] :
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
? [X0] :
( ~ r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0)))
& l2_conlat_1(X0)
& ~ v3_conlat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l2_conlat_1(X0)
& ~ v3_conlat_1(X0) )
=> r1_filter_1(k11_conlat_1(k7_conlat_2(X0)),k1_lattice2(k11_conlat_1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_conlat_2) ).
fof(f540,plain,
spl34_2,
inference(avatar_split_clause,[],[f297,f537]) ).
fof(f297,plain,
l2_conlat_1(sK6),
inference(cnf_transformation,[],[f232]) ).
fof(f535,plain,
~ spl34_1,
inference(avatar_split_clause,[],[f296,f532]) ).
fof(f296,plain,
~ v3_conlat_1(sK6),
inference(cnf_transformation,[],[f232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT346+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 12:25:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (7377)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (7382)WARNING: value z3 for option sas not known
% 0.14/0.38 % (7381)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (7383)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (7382)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)
% 0.14/0.38 % (7380)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (7384)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)
% 0.14/0.38 % (7386)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)
% 0.14/0.38 % (7385)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.44 TRYING [4]
% 0.21/0.44 TRYING [2]
% 0.21/0.52 TRYING [3]
% 0.21/0.54 TRYING [5]
% 1.99/0.66 TRYING [4]
% 2.58/0.72 TRYING [6]
% 2.58/0.74 % (7384)First to succeed.
% 3.01/0.78 % (7384)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7377"
% 3.01/0.78 % (7384)Refutation found. Thanks to Tanya!
% 3.01/0.78 % SZS status Theorem for theBenchmark
% 3.01/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.01/0.81 % (7384)------------------------------
% 3.01/0.81 % (7384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.01/0.81 % (7384)Termination reason: Refutation
% 3.01/0.81
% 3.01/0.81 % (7384)Memory used [KB]: 7557
% 3.01/0.81 % (7384)Time elapsed: 0.397 s
% 3.01/0.81 % (7384)Instructions burned: 1038 (million)
% 3.01/0.81 % (7377)Success in time 0.434 s
%------------------------------------------------------------------------------