TSTP Solution File: LAT289+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n002.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 : Fri Sep 1 17:12:25 EDT 2023
% Result : Theorem 4.94s 1.12s
% Output : Refutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1179
% Syntax : Number of formulae : 3701 ( 272 unt; 0 def)
% Number of atoms : 17314 ( 649 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 23179 (9566 ~;11873 |; 547 &)
% (1081 <=>; 111 =>; 0 <=; 1 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 1126 (1124 usr;1073 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 12 con; 0-4 aty)
% Number of variables : 4409 (;4345 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13226,plain,
$false,
inference(avatar_sat_refutation,[],[f456,f461,f466,f471,f476,f481,f486,f491,f496,f501,f506,f511,f516,f521,f526,f531,f536,f541,f546,f551,f556,f561,f566,f571,f576,f581,f586,f591,f596,f601,f606,f611,f616,f621,f626,f631,f636,f641,f646,f651,f656,f661,f666,f671,f676,f681,f686,f690,f694,f698,f702,f706,f710,f714,f718,f722,f726,f730,f734,f738,f742,f746,f750,f754,f758,f762,f766,f770,f774,f778,f782,f786,f790,f794,f798,f802,f806,f810,f814,f818,f822,f826,f830,f834,f838,f842,f846,f850,f854,f858,f862,f866,f870,f874,f878,f882,f886,f890,f894,f898,f902,f906,f910,f914,f918,f922,f937,f942,f958,f963,f967,f971,f975,f979,f983,f989,f993,f998,f1002,f1006,f1010,f1014,f1018,f1022,f1029,f1033,f1037,f1041,f1045,f1049,f1054,f1058,f1062,f1066,f1070,f1074,f1078,f1082,f1086,f1090,f1094,f1099,f1103,f1107,f1182,f1186,f1190,f1194,f1198,f1202,f1206,f1210,f1214,f1218,f1227,f1231,f1235,f1239,f1243,f1247,f1251,f1255,f1259,f1263,f1267,f1271,f1346,f1354,f1362,f1366,f1370,f1374,f1378,f1382,f1447,f1454,f1459,f1463,f1467,f1471,f1475,f1479,f1484,f1498,f1502,f1533,f1537,f1547,f1551,f1557,f1588,f1592,f1596,f1602,f1609,f1613,f1617,f1625,f1657,f1662,f1668,f1672,f1680,f1693,f1698,f1703,f1708,f1713,f1718,f1723,f1734,f1750,f1758,f1763,f1768,f1773,f1778,f1783,f1788,f1793,f1798,f1806,f1817,f1827,f1836,f1840,f1844,f1849,f1853,f1857,f1861,f1865,f1869,f1873,f1877,f1881,f1885,f1895,f1900,f1904,f1908,f1921,f1926,f1941,f1946,f1951,f1962,f1966,f1970,f1974,f1978,f1982,f1987,f1991,f1995,f1999,f2003,f2007,f2011,f2015,f2019,f2023,f2027,f2032,f2036,f2040,f2044,f2056,f2072,f2084,f2088,f2092,f2096,f2100,f2104,f2109,f2113,f2117,f2121,f2125,f2129,f2133,f2137,f2141,f2145,f2149,f2154,f2158,f2162,f2166,f2170,f2174,f2178,f2182,f2186,f2190,f2196,f2200,f2204,f2208,f2212,f2216,f2220,f2224,f2228,f2232,f2315,f2319,f2323,f2327,f2331,f2335,f2339,f2343,f2347,f2351,f2355,f2359,f2363,f2367,f2371,f2375,f2379,f2383,f2387,f2391,f2395,f2399,f2403,f2407,f2411,f2415,f2419,f2423,f2427,f2431,f2435,f2439,f2443,f2447,f2452,f2465,f2471,f2526,f2530,f2535,f2539,f2543,f2547,f2551,f2555,f2559,f2613,f2629,f2633,f2637,f2641,f2645,f2649,f2653,f2657,f2661,f2665,f2669,f2673,f2677,f2681,f2685,f2689,f2693,f2697,f2701,f2705,f2709,f2713,f2717,f2721,f2725,f2729,f2734,f2738,f2742,f2746,f2780,f2858,f2862,f2866,f2870,f2874,f2878,f2882,f2886,f2891,f2895,f2899,f2903,f2907,f2911,f2915,f2919,f2923,f2927,f2931,f2935,f2939,f2943,f2947,f2951,f2956,f2965,f2969,f2973,f2987,f2991,f2995,f2999,f3003,f3008,f3018,f3022,f3136,f3140,f3144,f3148,f3152,f3156,f3160,f3164,f3168,f3172,f3176,f3180,f3184,f3188,f3195,f3199,f3203,f3207,f3211,f3215,f3219,f3223,f3227,f3231,f3235,f3239,f3243,f3247,f3251,f3255,f3263,f3267,f3271,f3317,f3321,f3325,f3329,f3333,f3337,f3341,f3345,f3349,f3353,f3357,f3361,f3365,f3381,f3385,f3389,f3393,f3397,f3409,f3413,f3417,f3421,f3425,f3429,f3433,f3437,f3438,f3446,f3450,f3454,f3458,f3469,f3476,f3507,f3518,f3528,f3532,f3536,f3540,f3544,f3548,f3552,f3556,f3560,f3564,f3568,f3577,f3581,f3597,f3627,f3631,f3635,f3639,f3643,f3647,f3652,f3656,f3660,f3664,f3668,f3672,f3676,f3691,f3703,f3707,f3711,f3726,f3730,f3755,f3759,f3763,f3767,f3771,f3811,f3819,f3827,f3831,f3835,f3839,f3852,f3856,f3878,f3932,f3964,f3985,f3992,f3996,f4000,f4004,f4009,f4013,f4017,f4021,f4025,f4029,f4033,f4037,f4041,f4045,f4049,f4053,f4057,f4066,f4070,f4074,f4078,f4082,f4086,f4090,f4094,f4110,f4124,f4138,f4142,f4146,f4155,f4159,f4163,f4167,f4171,f4175,f4179,f4183,f4187,f4207,f4222,f4226,f4230,f4234,f4238,f4242,f4246,f4250,f4254,f4258,f4267,f4271,f4275,f4279,f4283,f4287,f4291,f4295,f4299,f4303,f4307,f4311,f4315,f4319,f4323,f4327,f4331,f4335,f4339,f4343,f4347,f4351,f4355,f4359,f4363,f4367,f4371,f4375,f4379,f4383,f4387,f4392,f4396,f4400,f4404,f4408,f4412,f4416,f4420,f4424,f4433,f4438,f4442,f4446,f4450,f4454,f4463,f4467,f4513,f4517,f4521,f4525,f4529,f4533,f4537,f4541,f4545,f4549,f4553,f4557,f4561,f4565,f4722,f4766,f4770,f4776,f4780,f4785,f4789,f4793,f4797,f4870,f4874,f4878,f4882,f4886,f4890,f4894,f4898,f4902,f4906,f4911,f4915,f4919,f4923,f4927,f4931,f4935,f4939,f4943,f4947,f4951,f4955,f4959,f4963,f4967,f4971,f4975,f4979,f4983,f4987,f4991,f4996,f5000,f5004,f5008,f5489,f5913,f5923,f5927,f5932,f5936,f5941,f6086,f6090,f6095,f6127,f6131,f6135,f6139,f6143,f6147,f6151,f6155,f6159,f6163,f6168,f6172,f6176,f6180,f6184,f6188,f6192,f6196,f6200,f6204,f6208,f6213,f6217,f6221,f6225,f6229,f6891,f6895,f6899,f6903,f6907,f6912,f6933,f6940,f6944,f6975,f6979,f6983,f6987,f6991,f6995,f7219,f7655,f7659,f7728,f7732,f7736,f7740,f7744,f7748,f7752,f7756,f7760,f7764,f7772,f7776,f7780,f7784,f7788,f7792,f7796,f7800,f7804,f8538,f9060,f9064,f9093,f9097,f9101,f9105,f9109,f9113,f9117,f9121,f9125,f9129,f9133,f9137,f9141,f9145,f9149,f9153,f9157,f9161,f9165,f9169,f9173,f9243,f9247,f9251,f9255,f9259,f9263,f9267,f9271,f9275,f9286,f9452,f9456,f9460,f9464,f9468,f9472,f9476,f9480,f9484,f9488,f9858,f9862,f9867,f9871,f9901,f9905,f9909,f9913,f9922,f9926,f9930,f9934,f9938,f9942,f9946,f9950,f10177,f10181,f10185,f10189,f10197,f10273,f10350,f10354,f10358,f10362,f10366,f10370,f10374,f10391,f10395,f10407,f10411,f10415,f10420,f10424,f10443,f10447,f10573,f10577,f10581,f10585,f10589,f10593,f10597,f10601,f10605,f10609,f10613,f10617,f10622,f10626,f10630,f10714,f10718,f10722,f10726,f10734,f10794,f10798,f10802,f10904,f10908,f10912,f10916,f10920,f10924,f10972,f10984,f10988,f11107,f11116,f11120,f11197,f11201,f11205,f11209,f11213,f11217,f11221,f11225,f11313,f11578,f11582,f11605,f11609,f11621,f11625,f11629,f11636,f11698,f11702,f11734,f11738,f11770,f11774,f11778,f11782,f11786,f11800,f11804,f11808,f11812,f11816,f11820,f12117,f12123,f12130,f12134,f12147,f12153,f12157,f12161,f12175,f12208,f12292,f12296,f12300,f12304,f12316,f12320,f12325,f12388,f12394,f12400,f12406,f12419,f12428,f12445,f12449,f12458,f12465,f12469,f12474,f12510,f12515,f12519,f12523,f12527,f12536,f12543,f12548,f12552,f12556,f12560,f12564,f12573,f12583,f12592,f12597,f12602,f12620,f12628,f12632,f12636,f12640,f12644,f12652,f12656,f12660,f12664,f12673,f12682,f12687,f12692,f12697,f12702,f12707,f12712,f12718,f12722,f12723,f12729,f12741,f12762,f12826,f12921,f12925,f12930,f12934,f12938,f12942,f12946,f12950,f12954,f12958,f12962,f12966,f12975,f12979,f12983,f12987,f12991,f12995,f12999,f13003,f13007,f13019,f13038,f13042,f13046,f13050,f13054,f13058,f13062,f13066,f13070,f13074,f13092,f13096,f13100,f13104,f13108,f13112,f13116,f13120,f13124,f13128,f13132,f13136,f13140,f13144,f13148,f13152,f13156,f13160,f13164,f13168,f13172,f13186,f13190,f13194,f13198,f13202,f13206,f13210,f13215,f13220,f13224,f13225]) ).
fof(f13225,plain,
( ~ spl28_8
| ~ spl28_7
| ~ spl28_6
| ~ spl28_9
| ~ spl28_585
| spl28_1012 ),
inference(avatar_split_clause,[],[f12967,f12927,f4205,f493,f478,f483,f488]) ).
fof(f488,plain,
( spl28_8
<=> r2_hidden(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_8])]) ).
fof(f483,plain,
( spl28_7
<=> v1_filter_0(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f478,plain,
( spl28_6
<=> m1_filter_0(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_6])]) ).
fof(f493,plain,
( spl28_9
<=> m1_subset_1(sK7,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
fof(f4205,plain,
( spl28_585
<=> ! [X0,X1] :
( r2_hidden(X0,k1_funct_1(k9_lopclset(sK6),X1))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_filter_0(X0,sK6)
| ~ v1_filter_0(X0,sK6)
| ~ r2_hidden(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_585])]) ).
fof(f12927,plain,
( spl28_1012
<=> r2_hidden(sK8,k1_funct_1(k9_lopclset(sK6),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1012])]) ).
fof(f12967,plain,
( ~ m1_subset_1(sK7,u1_struct_0(sK6))
| ~ m1_filter_0(sK8,sK6)
| ~ v1_filter_0(sK8,sK6)
| ~ r2_hidden(sK7,sK8)
| ~ spl28_585
| spl28_1012 ),
inference(resolution,[],[f12929,f4206]) ).
fof(f4206,plain,
( ! [X0,X1] :
( r2_hidden(X0,k1_funct_1(k9_lopclset(sK6),X1))
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ m1_filter_0(X0,sK6)
| ~ v1_filter_0(X0,sK6)
| ~ r2_hidden(X1,X0) )
| ~ spl28_585 ),
inference(avatar_component_clause,[],[f4205]) ).
fof(f12929,plain,
( ~ r2_hidden(sK8,k1_funct_1(k9_lopclset(sK6),sK7))
| spl28_1012 ),
inference(avatar_component_clause,[],[f12927]) ).
fof(f13224,plain,
( spl28_1072
| ~ spl28_388
| ~ spl28_756 ),
inference(avatar_split_clause,[],[f7678,f7217,f2740,f13222]) ).
fof(f13222,plain,
( spl28_1072
<=> ! [X19] :
( r1_tarski(sK15(a_1_1_lopclset(sK6),X19),u1_struct_0(sK6))
| a_1_1_lopclset(sK6) = X19
| ~ v1_xboole_0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1072])]) ).
fof(f2740,plain,
( spl28_388
<=> ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X4)
| X4 = X5
| ~ v1_xboole_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_388])]) ).
fof(f7217,plain,
( spl28_756
<=> ! [X0] :
( ~ r2_hidden(X0,a_1_1_lopclset(sK6))
| r1_tarski(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_756])]) ).
fof(f7678,plain,
( ! [X19] :
( r1_tarski(sK15(a_1_1_lopclset(sK6),X19),u1_struct_0(sK6))
| a_1_1_lopclset(sK6) = X19
| ~ v1_xboole_0(X19) )
| ~ spl28_388
| ~ spl28_756 ),
inference(resolution,[],[f7218,f2741]) ).
fof(f2741,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X4)
| X4 = X5
| ~ v1_xboole_0(X5) )
| ~ spl28_388 ),
inference(avatar_component_clause,[],[f2740]) ).
fof(f7218,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_1_1_lopclset(sK6))
| r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl28_756 ),
inference(avatar_component_clause,[],[f7217]) ).
fof(f13220,plain,
( spl28_1071
| ~ spl28_389
| ~ spl28_756 ),
inference(avatar_split_clause,[],[f7664,f7217,f2744,f13218]) ).
fof(f13218,plain,
( spl28_1071
<=> ! [X5] :
( r1_tarski(sK15(X5,a_1_1_lopclset(sK6)),u1_struct_0(sK6))
| a_1_1_lopclset(sK6) = X5
| ~ v1_xboole_0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1071])]) ).
fof(f2744,plain,
( spl28_389
<=> ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X5)
| X4 = X5
| ~ v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_389])]) ).
fof(f7664,plain,
( ! [X5] :
( r1_tarski(sK15(X5,a_1_1_lopclset(sK6)),u1_struct_0(sK6))
| a_1_1_lopclset(sK6) = X5
| ~ v1_xboole_0(X5) )
| ~ spl28_389
| ~ spl28_756 ),
inference(resolution,[],[f7218,f2745]) ).
fof(f2745,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X5)
| X4 = X5
| ~ v1_xboole_0(X4) )
| ~ spl28_389 ),
inference(avatar_component_clause,[],[f2744]) ).
fof(f13215,plain,
( ~ spl28_1070
| ~ spl28_1023
| ~ spl28_1052 ),
inference(avatar_split_clause,[],[f13182,f13130,f12973,f13212]) ).
fof(f13212,plain,
( spl28_1070
<=> r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1070])]) ).
fof(f12973,plain,
( spl28_1023
<=> ! [X28] :
( ~ r2_hidden(X28,a_1_1_lopclset(sK6))
| r2_hidden(X28,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1023])]) ).
fof(f13130,plain,
( spl28_1052
<=> ! [X3] :
( ~ r2_hidden(X3,a_1_1_lopclset(sK6))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1052])]) ).
fof(f13182,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),a_1_1_lopclset(sK6))
| ~ spl28_1023
| ~ spl28_1052 ),
inference(duplicate_literal_removal,[],[f13180]) ).
fof(f13180,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),a_1_1_lopclset(sK6))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),a_1_1_lopclset(sK6))
| ~ spl28_1023
| ~ spl28_1052 ),
inference(resolution,[],[f13131,f12974]) ).
fof(f12974,plain,
( ! [X28] :
( r2_hidden(X28,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r2_hidden(X28,a_1_1_lopclset(sK6)) )
| ~ spl28_1023 ),
inference(avatar_component_clause,[],[f12973]) ).
fof(f13131,plain,
( ! [X3] :
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),X3)
| ~ r2_hidden(X3,a_1_1_lopclset(sK6)) )
| ~ spl28_1052 ),
inference(avatar_component_clause,[],[f13130]) ).
fof(f13210,plain,
( spl28_1069
| ~ spl28_585
| ~ spl28_754 ),
inference(avatar_split_clause,[],[f7581,f6989,f4205,f13208]) ).
fof(f13208,plain,
( spl28_1069
<=> ! [X4,X3] :
( ~ v10_lattices(X3)
| v3_struct_0(X3)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_filter_0(k1_funct_1(k9_lopclset(sK6),X4),X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X3)),sK6)
| ~ v1_filter_0(k1_zfmisc_1(u1_struct_0(X3)),sK6)
| ~ r2_hidden(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1069])]) ).
fof(f6989,plain,
( spl28_754
<=> ! [X6,X5] :
( ~ l3_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X5)))
| ~ m1_filter_0(X6,X5)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X5)),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_754])]) ).
fof(f7581,plain,
( ! [X3,X4] :
( ~ v10_lattices(X3)
| v3_struct_0(X3)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_filter_0(k1_funct_1(k9_lopclset(sK6),X4),X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X3)),sK6)
| ~ v1_filter_0(k1_zfmisc_1(u1_struct_0(X3)),sK6)
| ~ r2_hidden(X4,k1_zfmisc_1(u1_struct_0(X3))) )
| ~ spl28_585
| ~ spl28_754 ),
inference(resolution,[],[f6990,f4206]) ).
fof(f6990,plain,
( ! [X6,X5] :
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X5)),X6)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X5)))
| ~ m1_filter_0(X6,X5)
| ~ l3_lattices(X5) )
| ~ spl28_754 ),
inference(avatar_component_clause,[],[f6989]) ).
fof(f13206,plain,
( spl28_1068
| ~ spl28_570
| ~ spl28_703 ),
inference(avatar_split_clause,[],[f5894,f5002,f4108,f13204]) ).
fof(f13204,plain,
( spl28_1068
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v1_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1068])]) ).
fof(f4108,plain,
( spl28_570
<=> ! [X2,X3] :
( ~ r2_hidden(X2,k1_funct_1(k9_lopclset(sK6),X3))
| ~ m1_subset_1(X3,u1_struct_0(sK6))
| ~ m1_filter_0(X2,sK6)
| r2_hidden(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_570])]) ).
fof(f5002,plain,
( spl28_703
<=> ! [X20,X21] :
( r2_hidden(sK15(X20,X21),X21)
| X20 = X21
| v1_xcmplx_0(sK15(X20,X21))
| ~ v1_membered(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_703])]) ).
fof(f5894,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v1_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_703 ),
inference(resolution,[],[f5003,f4109]) ).
fof(f4109,plain,
( ! [X2,X3] :
( ~ r2_hidden(X2,k1_funct_1(k9_lopclset(sK6),X3))
| ~ m1_subset_1(X3,u1_struct_0(sK6))
| ~ m1_filter_0(X2,sK6)
| r2_hidden(X3,X2) )
| ~ spl28_570 ),
inference(avatar_component_clause,[],[f4108]) ).
fof(f5003,plain,
( ! [X21,X20] :
( r2_hidden(sK15(X20,X21),X21)
| X20 = X21
| v1_xcmplx_0(sK15(X20,X21))
| ~ v1_membered(X20) )
| ~ spl28_703 ),
inference(avatar_component_clause,[],[f5002]) ).
fof(f13202,plain,
( spl28_1067
| ~ spl28_571
| ~ spl28_703 ),
inference(avatar_split_clause,[],[f5893,f5002,f4122,f13200]) ).
fof(f13200,plain,
( spl28_1067
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v1_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1067])]) ).
fof(f4122,plain,
( spl28_571
<=> ! [X4,X5] :
( ~ r2_hidden(X4,k1_funct_1(k9_lopclset(sK6),X5))
| ~ m1_subset_1(X5,u1_struct_0(sK6))
| ~ m1_filter_0(X4,sK6)
| v1_filter_0(X4,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_571])]) ).
fof(f5893,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v1_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_703 ),
inference(resolution,[],[f5003,f4123]) ).
fof(f4123,plain,
( ! [X4,X5] :
( ~ r2_hidden(X4,k1_funct_1(k9_lopclset(sK6),X5))
| ~ m1_subset_1(X5,u1_struct_0(sK6))
| ~ m1_filter_0(X4,sK6)
| v1_filter_0(X4,sK6) )
| ~ spl28_571 ),
inference(avatar_component_clause,[],[f4122]) ).
fof(f13198,plain,
( spl28_1066
| ~ spl28_570
| ~ spl28_702 ),
inference(avatar_split_clause,[],[f5866,f4998,f4108,f13196]) ).
fof(f13196,plain,
( spl28_1066
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xreal_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v2_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1066])]) ).
fof(f4998,plain,
( spl28_702
<=> ! [X18,X19] :
( r2_hidden(sK15(X18,X19),X19)
| X18 = X19
| v1_xreal_0(sK15(X18,X19))
| ~ v2_membered(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_702])]) ).
fof(f5866,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xreal_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v2_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_702 ),
inference(resolution,[],[f4999,f4109]) ).
fof(f4999,plain,
( ! [X18,X19] :
( r2_hidden(sK15(X18,X19),X19)
| X18 = X19
| v1_xreal_0(sK15(X18,X19))
| ~ v2_membered(X18) )
| ~ spl28_702 ),
inference(avatar_component_clause,[],[f4998]) ).
fof(f13194,plain,
( spl28_1065
| ~ spl28_571
| ~ spl28_702 ),
inference(avatar_split_clause,[],[f5865,f4998,f4122,f13192]) ).
fof(f13192,plain,
( spl28_1065
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xreal_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v2_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1065])]) ).
fof(f5865,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xreal_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v2_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_702 ),
inference(resolution,[],[f4999,f4123]) ).
fof(f13190,plain,
( spl28_1064
| ~ spl28_570
| ~ spl28_700 ),
inference(avatar_split_clause,[],[f5838,f4989,f4108,f13188]) ).
fof(f13188,plain,
( spl28_1064
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v2_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1064])]) ).
fof(f4989,plain,
( spl28_700
<=> ! [X16,X17] :
( r2_hidden(sK15(X16,X17),X17)
| X16 = X17
| v1_xcmplx_0(sK15(X16,X17))
| ~ v2_membered(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_700])]) ).
fof(f5838,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v2_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_700 ),
inference(resolution,[],[f4990,f4109]) ).
fof(f4990,plain,
( ! [X16,X17] :
( r2_hidden(sK15(X16,X17),X17)
| X16 = X17
| v1_xcmplx_0(sK15(X16,X17))
| ~ v2_membered(X16) )
| ~ spl28_700 ),
inference(avatar_component_clause,[],[f4989]) ).
fof(f13186,plain,
( spl28_1063
| ~ spl28_571
| ~ spl28_700 ),
inference(avatar_split_clause,[],[f5837,f4989,f4122,f13184]) ).
fof(f13184,plain,
( spl28_1063
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v2_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1063])]) ).
fof(f5837,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v2_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_700 ),
inference(resolution,[],[f4990,f4123]) ).
fof(f13172,plain,
( spl28_1062
| ~ spl28_570
| ~ spl28_699 ),
inference(avatar_split_clause,[],[f5810,f4985,f4108,f13170]) ).
fof(f13170,plain,
( spl28_1062
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_rat_1(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v3_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1062])]) ).
fof(f4985,plain,
( spl28_699
<=> ! [X14,X15] :
( r2_hidden(sK15(X14,X15),X15)
| X14 = X15
| v1_rat_1(sK15(X14,X15))
| ~ v3_membered(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_699])]) ).
fof(f5810,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_rat_1(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v3_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_699 ),
inference(resolution,[],[f4986,f4109]) ).
fof(f4986,plain,
( ! [X14,X15] :
( r2_hidden(sK15(X14,X15),X15)
| X14 = X15
| v1_rat_1(sK15(X14,X15))
| ~ v3_membered(X14) )
| ~ spl28_699 ),
inference(avatar_component_clause,[],[f4985]) ).
fof(f13168,plain,
( spl28_1061
| ~ spl28_571
| ~ spl28_699 ),
inference(avatar_split_clause,[],[f5809,f4985,f4122,f13166]) ).
fof(f13166,plain,
( spl28_1061
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_rat_1(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v3_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1061])]) ).
fof(f5809,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_rat_1(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v3_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_699 ),
inference(resolution,[],[f4986,f4123]) ).
fof(f13164,plain,
( spl28_1060
| ~ spl28_570
| ~ spl28_698 ),
inference(avatar_split_clause,[],[f5782,f4981,f4108,f13162]) ).
fof(f13162,plain,
( spl28_1060
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xreal_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v3_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1060])]) ).
fof(f4981,plain,
( spl28_698
<=> ! [X13,X12] :
( r2_hidden(sK15(X12,X13),X13)
| X12 = X13
| v1_xreal_0(sK15(X12,X13))
| ~ v3_membered(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_698])]) ).
fof(f5782,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xreal_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v3_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_698 ),
inference(resolution,[],[f4982,f4109]) ).
fof(f4982,plain,
( ! [X12,X13] :
( r2_hidden(sK15(X12,X13),X13)
| X12 = X13
| v1_xreal_0(sK15(X12,X13))
| ~ v3_membered(X12) )
| ~ spl28_698 ),
inference(avatar_component_clause,[],[f4981]) ).
fof(f13160,plain,
( spl28_1059
| ~ spl28_571
| ~ spl28_698 ),
inference(avatar_split_clause,[],[f5781,f4981,f4122,f13158]) ).
fof(f13158,plain,
( spl28_1059
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xreal_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v3_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1059])]) ).
fof(f5781,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xreal_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v3_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_698 ),
inference(resolution,[],[f4982,f4123]) ).
fof(f13156,plain,
( spl28_1058
| ~ spl28_570
| ~ spl28_697 ),
inference(avatar_split_clause,[],[f5754,f4977,f4108,f13154]) ).
fof(f13154,plain,
( spl28_1058
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v3_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1058])]) ).
fof(f4977,plain,
( spl28_697
<=> ! [X11,X10] :
( r2_hidden(sK15(X10,X11),X11)
| X10 = X11
| v1_xcmplx_0(sK15(X10,X11))
| ~ v3_membered(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_697])]) ).
fof(f5754,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v3_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_697 ),
inference(resolution,[],[f4978,f4109]) ).
fof(f4978,plain,
( ! [X10,X11] :
( r2_hidden(sK15(X10,X11),X11)
| X10 = X11
| v1_xcmplx_0(sK15(X10,X11))
| ~ v3_membered(X10) )
| ~ spl28_697 ),
inference(avatar_component_clause,[],[f4977]) ).
fof(f13152,plain,
( spl28_1057
| ~ spl28_571
| ~ spl28_697 ),
inference(avatar_split_clause,[],[f5753,f4977,f4122,f13150]) ).
fof(f13150,plain,
( spl28_1057
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v3_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1057])]) ).
fof(f5753,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v3_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_697 ),
inference(resolution,[],[f4978,f4123]) ).
fof(f13148,plain,
( spl28_1056
| ~ spl28_570
| ~ spl28_696 ),
inference(avatar_split_clause,[],[f5726,f4973,f4108,f13146]) ).
fof(f13146,plain,
( spl28_1056
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_rat_1(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1056])]) ).
fof(f4973,plain,
( spl28_696
<=> ! [X9,X8] :
( r2_hidden(sK15(X8,X9),X9)
| X8 = X9
| v1_rat_1(sK15(X8,X9))
| ~ v4_membered(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_696])]) ).
fof(f5726,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_rat_1(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_696 ),
inference(resolution,[],[f4974,f4109]) ).
fof(f4974,plain,
( ! [X8,X9] :
( r2_hidden(sK15(X8,X9),X9)
| X8 = X9
| v1_rat_1(sK15(X8,X9))
| ~ v4_membered(X8) )
| ~ spl28_696 ),
inference(avatar_component_clause,[],[f4973]) ).
fof(f13144,plain,
( spl28_1055
| ~ spl28_571
| ~ spl28_696 ),
inference(avatar_split_clause,[],[f5725,f4973,f4122,f13142]) ).
fof(f13142,plain,
( spl28_1055
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_rat_1(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1055])]) ).
fof(f5725,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_rat_1(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_696 ),
inference(resolution,[],[f4974,f4123]) ).
fof(f13140,plain,
( spl28_1054
| ~ spl28_570
| ~ spl28_695 ),
inference(avatar_split_clause,[],[f5698,f4969,f4108,f13138]) ).
fof(f13138,plain,
( spl28_1054
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_int_1(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1054])]) ).
fof(f4969,plain,
( spl28_695
<=> ! [X6,X7] :
( r2_hidden(sK15(X6,X7),X7)
| X6 = X7
| v1_int_1(sK15(X6,X7))
| ~ v4_membered(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_695])]) ).
fof(f5698,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_int_1(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_695 ),
inference(resolution,[],[f4970,f4109]) ).
fof(f4970,plain,
( ! [X6,X7] :
( r2_hidden(sK15(X6,X7),X7)
| X6 = X7
| v1_int_1(sK15(X6,X7))
| ~ v4_membered(X6) )
| ~ spl28_695 ),
inference(avatar_component_clause,[],[f4969]) ).
fof(f13136,plain,
( spl28_1053
| ~ spl28_571
| ~ spl28_695 ),
inference(avatar_split_clause,[],[f5697,f4969,f4122,f13134]) ).
fof(f13134,plain,
( spl28_1053
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_int_1(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1053])]) ).
fof(f5697,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_int_1(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_695 ),
inference(resolution,[],[f4970,f4123]) ).
fof(f13132,plain,
( spl28_1052
| ~ spl28_117
| ~ spl28_1023 ),
inference(avatar_split_clause,[],[f13077,f12973,f991,f13130]) ).
fof(f991,plain,
( spl28_117
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_117])]) ).
fof(f13077,plain,
( ! [X3] :
( ~ r2_hidden(X3,a_1_1_lopclset(sK6))
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),X3) )
| ~ spl28_117
| ~ spl28_1023 ),
inference(resolution,[],[f12974,f992]) ).
fof(f992,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl28_117 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f13128,plain,
( spl28_1051
| ~ spl28_570
| ~ spl28_694 ),
inference(avatar_split_clause,[],[f5670,f4965,f4108,f13126]) ).
fof(f13126,plain,
( spl28_1051
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xreal_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1051])]) ).
fof(f4965,plain,
( spl28_694
<=> ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X5)
| X4 = X5
| v1_xreal_0(sK15(X4,X5))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_694])]) ).
fof(f5670,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xreal_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_694 ),
inference(resolution,[],[f4966,f4109]) ).
fof(f4966,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X5)
| X4 = X5
| v1_xreal_0(sK15(X4,X5))
| ~ v4_membered(X4) )
| ~ spl28_694 ),
inference(avatar_component_clause,[],[f4965]) ).
fof(f13124,plain,
( spl28_1050
| ~ spl28_571
| ~ spl28_694 ),
inference(avatar_split_clause,[],[f5669,f4965,f4122,f13122]) ).
fof(f13122,plain,
( spl28_1050
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xreal_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1050])]) ).
fof(f5669,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xreal_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_694 ),
inference(resolution,[],[f4966,f4123]) ).
fof(f13120,plain,
( spl28_1049
| ~ spl28_570
| ~ spl28_693 ),
inference(avatar_split_clause,[],[f5642,f4961,f4108,f13118]) ).
fof(f13118,plain,
( spl28_1049
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1049])]) ).
fof(f4961,plain,
( spl28_693
<=> ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X3)
| X2 = X3
| v1_xcmplx_0(sK15(X2,X3))
| ~ v4_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_693])]) ).
fof(f5642,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| v1_xcmplx_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v4_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_693 ),
inference(resolution,[],[f4962,f4109]) ).
fof(f4962,plain,
( ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X3)
| X2 = X3
| v1_xcmplx_0(sK15(X2,X3))
| ~ v4_membered(X2) )
| ~ spl28_693 ),
inference(avatar_component_clause,[],[f4961]) ).
fof(f13116,plain,
( spl28_1048
| ~ spl28_571
| ~ spl28_693 ),
inference(avatar_split_clause,[],[f5641,f4961,f4122,f13114]) ).
fof(f13114,plain,
( spl28_1048
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1048])]) ).
fof(f5641,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| v1_xcmplx_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v4_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_693 ),
inference(resolution,[],[f4962,f4123]) ).
fof(f13112,plain,
( spl28_1047
| ~ spl28_570
| ~ spl28_692 ),
inference(avatar_split_clause,[],[f5614,f4957,f4108,f13110]) ).
fof(f13110,plain,
( spl28_1047
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| sP3(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v5_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1047])]) ).
fof(f4957,plain,
( spl28_692
<=> ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X1)
| X0 = X1
| sP3(sK15(X0,X1))
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_692])]) ).
fof(f5614,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X34) = X33
| sP3(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)))
| ~ v5_membered(X33)
| ~ m1_subset_1(X34,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X33,k1_funct_1(k9_lopclset(sK6),X34)),sK6)
| r2_hidden(X34,sK15(X33,k1_funct_1(k9_lopclset(sK6),X34))) )
| ~ spl28_570
| ~ spl28_692 ),
inference(resolution,[],[f4958,f4109]) ).
fof(f4958,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X1)
| X0 = X1
| sP3(sK15(X0,X1))
| ~ v5_membered(X0) )
| ~ spl28_692 ),
inference(avatar_component_clause,[],[f4957]) ).
fof(f13108,plain,
( spl28_1046
| ~ spl28_571
| ~ spl28_692 ),
inference(avatar_split_clause,[],[f5613,f4957,f4122,f13106]) ).
fof(f13106,plain,
( spl28_1046
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| sP3(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v5_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1046])]) ).
fof(f5613,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X32) = X31
| sP3(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)))
| ~ v5_membered(X31)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| v1_filter_0(sK15(X31,k1_funct_1(k9_lopclset(sK6),X32)),sK6) )
| ~ spl28_571
| ~ spl28_692 ),
inference(resolution,[],[f4958,f4123]) ).
fof(f13104,plain,
( spl28_1045
| ~ spl28_570
| ~ spl28_690 ),
inference(avatar_split_clause,[],[f5558,f4949,f4108,f13102]) ).
fof(f13102,plain,
( spl28_1045
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v1_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1045])]) ).
fof(f4949,plain,
( spl28_690
<=> ! [X20,X21] :
( r2_hidden(sK15(X20,X21),X20)
| X20 = X21
| v1_xcmplx_0(sK15(X20,X21))
| ~ v1_membered(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_690])]) ).
fof(f5558,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v1_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_690 ),
inference(resolution,[],[f4950,f4109]) ).
fof(f4950,plain,
( ! [X21,X20] :
( r2_hidden(sK15(X20,X21),X20)
| X20 = X21
| v1_xcmplx_0(sK15(X20,X21))
| ~ v1_membered(X21) )
| ~ spl28_690 ),
inference(avatar_component_clause,[],[f4949]) ).
fof(f13100,plain,
( spl28_1044
| ~ spl28_571
| ~ spl28_690 ),
inference(avatar_split_clause,[],[f5557,f4949,f4122,f13098]) ).
fof(f13098,plain,
( spl28_1044
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v1_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1044])]) ).
fof(f5557,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v1_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_690 ),
inference(resolution,[],[f4950,f4123]) ).
fof(f13096,plain,
( spl28_1043
| ~ spl28_570
| ~ spl28_689 ),
inference(avatar_split_clause,[],[f5530,f4945,f4108,f13094]) ).
fof(f13094,plain,
( spl28_1043
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v2_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1043])]) ).
fof(f4945,plain,
( spl28_689
<=> ! [X18,X19] :
( r2_hidden(sK15(X18,X19),X18)
| X18 = X19
| v1_xreal_0(sK15(X18,X19))
| ~ v2_membered(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_689])]) ).
fof(f5530,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v2_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_689 ),
inference(resolution,[],[f4946,f4109]) ).
fof(f4946,plain,
( ! [X18,X19] :
( r2_hidden(sK15(X18,X19),X18)
| X18 = X19
| v1_xreal_0(sK15(X18,X19))
| ~ v2_membered(X19) )
| ~ spl28_689 ),
inference(avatar_component_clause,[],[f4945]) ).
fof(f13092,plain,
( spl28_1042
| ~ spl28_571
| ~ spl28_689 ),
inference(avatar_split_clause,[],[f5529,f4945,f4122,f13090]) ).
fof(f13090,plain,
( spl28_1042
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v2_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1042])]) ).
fof(f5529,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v2_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_689 ),
inference(resolution,[],[f4946,f4123]) ).
fof(f13074,plain,
( spl28_1041
| ~ spl28_570
| ~ spl28_688 ),
inference(avatar_split_clause,[],[f5502,f4941,f4108,f13072]) ).
fof(f13072,plain,
( spl28_1041
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v2_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1041])]) ).
fof(f4941,plain,
( spl28_688
<=> ! [X16,X17] :
( r2_hidden(sK15(X16,X17),X16)
| X16 = X17
| v1_xcmplx_0(sK15(X16,X17))
| ~ v2_membered(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_688])]) ).
fof(f5502,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v2_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_688 ),
inference(resolution,[],[f4942,f4109]) ).
fof(f4942,plain,
( ! [X16,X17] :
( r2_hidden(sK15(X16,X17),X16)
| X16 = X17
| v1_xcmplx_0(sK15(X16,X17))
| ~ v2_membered(X17) )
| ~ spl28_688 ),
inference(avatar_component_clause,[],[f4941]) ).
fof(f13070,plain,
( spl28_1040
| ~ spl28_571
| ~ spl28_688 ),
inference(avatar_split_clause,[],[f5501,f4941,f4122,f13068]) ).
fof(f13068,plain,
( spl28_1040
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v2_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1040])]) ).
fof(f5501,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v2_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_688 ),
inference(resolution,[],[f4942,f4123]) ).
fof(f13066,plain,
( spl28_1039
| ~ spl28_570
| ~ spl28_687 ),
inference(avatar_split_clause,[],[f5469,f4937,f4108,f13064]) ).
fof(f13064,plain,
( spl28_1039
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v3_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1039])]) ).
fof(f4937,plain,
( spl28_687
<=> ! [X14,X15] :
( r2_hidden(sK15(X14,X15),X14)
| X14 = X15
| v1_rat_1(sK15(X14,X15))
| ~ v3_membered(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_687])]) ).
fof(f5469,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v3_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_687 ),
inference(resolution,[],[f4938,f4109]) ).
fof(f4938,plain,
( ! [X14,X15] :
( r2_hidden(sK15(X14,X15),X14)
| X14 = X15
| v1_rat_1(sK15(X14,X15))
| ~ v3_membered(X15) )
| ~ spl28_687 ),
inference(avatar_component_clause,[],[f4937]) ).
fof(f13062,plain,
( spl28_1038
| ~ spl28_571
| ~ spl28_687 ),
inference(avatar_split_clause,[],[f5468,f4937,f4122,f13060]) ).
fof(f13060,plain,
( spl28_1038
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v3_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1038])]) ).
fof(f5468,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v3_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_687 ),
inference(resolution,[],[f4938,f4123]) ).
fof(f13058,plain,
( spl28_1037
| ~ spl28_570
| ~ spl28_686 ),
inference(avatar_split_clause,[],[f5441,f4933,f4108,f13056]) ).
fof(f13056,plain,
( spl28_1037
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v3_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1037])]) ).
fof(f4933,plain,
( spl28_686
<=> ! [X13,X12] :
( r2_hidden(sK15(X12,X13),X12)
| X12 = X13
| v1_xreal_0(sK15(X12,X13))
| ~ v3_membered(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_686])]) ).
fof(f5441,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v3_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_686 ),
inference(resolution,[],[f4934,f4109]) ).
fof(f4934,plain,
( ! [X12,X13] :
( r2_hidden(sK15(X12,X13),X12)
| X12 = X13
| v1_xreal_0(sK15(X12,X13))
| ~ v3_membered(X13) )
| ~ spl28_686 ),
inference(avatar_component_clause,[],[f4933]) ).
fof(f13054,plain,
( spl28_1036
| ~ spl28_571
| ~ spl28_686 ),
inference(avatar_split_clause,[],[f5440,f4933,f4122,f13052]) ).
fof(f13052,plain,
( spl28_1036
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v3_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1036])]) ).
fof(f5440,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v3_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_686 ),
inference(resolution,[],[f4934,f4123]) ).
fof(f13050,plain,
( spl28_1035
| ~ spl28_570
| ~ spl28_685 ),
inference(avatar_split_clause,[],[f5413,f4929,f4108,f13048]) ).
fof(f13048,plain,
( spl28_1035
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v3_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1035])]) ).
fof(f4929,plain,
( spl28_685
<=> ! [X11,X10] :
( r2_hidden(sK15(X10,X11),X10)
| X10 = X11
| v1_xcmplx_0(sK15(X10,X11))
| ~ v3_membered(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_685])]) ).
fof(f5413,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v3_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_685 ),
inference(resolution,[],[f4930,f4109]) ).
fof(f4930,plain,
( ! [X10,X11] :
( r2_hidden(sK15(X10,X11),X10)
| X10 = X11
| v1_xcmplx_0(sK15(X10,X11))
| ~ v3_membered(X11) )
| ~ spl28_685 ),
inference(avatar_component_clause,[],[f4929]) ).
fof(f13046,plain,
( spl28_1034
| ~ spl28_571
| ~ spl28_685 ),
inference(avatar_split_clause,[],[f5412,f4929,f4122,f13044]) ).
fof(f13044,plain,
( spl28_1034
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v3_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1034])]) ).
fof(f5412,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v3_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_685 ),
inference(resolution,[],[f4930,f4123]) ).
fof(f13042,plain,
( spl28_1033
| ~ spl28_570
| ~ spl28_684 ),
inference(avatar_split_clause,[],[f5385,f4925,f4108,f13040]) ).
fof(f13040,plain,
( spl28_1033
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1033])]) ).
fof(f4925,plain,
( spl28_684
<=> ! [X9,X8] :
( r2_hidden(sK15(X8,X9),X8)
| X8 = X9
| v1_rat_1(sK15(X8,X9))
| ~ v4_membered(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_684])]) ).
fof(f5385,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_684 ),
inference(resolution,[],[f4926,f4109]) ).
fof(f4926,plain,
( ! [X8,X9] :
( r2_hidden(sK15(X8,X9),X8)
| X8 = X9
| v1_rat_1(sK15(X8,X9))
| ~ v4_membered(X9) )
| ~ spl28_684 ),
inference(avatar_component_clause,[],[f4925]) ).
fof(f13038,plain,
( spl28_1032
| ~ spl28_571
| ~ spl28_684 ),
inference(avatar_split_clause,[],[f5384,f4925,f4122,f13036]) ).
fof(f13036,plain,
( spl28_1032
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1032])]) ).
fof(f5384,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_rat_1(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_684 ),
inference(resolution,[],[f4926,f4123]) ).
fof(f13019,plain,
( ~ spl28_48
| ~ spl28_1022 ),
inference(avatar_contradiction_clause,[],[f13008]) ).
fof(f13008,plain,
( $false
| ~ spl28_48
| ~ spl28_1022 ),
inference(resolution,[],[f12971,f689]) ).
fof(f689,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl28_48 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl28_48
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_48])]) ).
fof(f12971,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl28_1022 ),
inference(avatar_component_clause,[],[f12969]) ).
fof(f12969,plain,
( spl28_1022
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1022])]) ).
fof(f13007,plain,
( spl28_1031
| ~ spl28_570
| ~ spl28_683 ),
inference(avatar_split_clause,[],[f5357,f4921,f4108,f13005]) ).
fof(f13005,plain,
( spl28_1031
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_int_1(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1031])]) ).
fof(f4921,plain,
( spl28_683
<=> ! [X6,X7] :
( r2_hidden(sK15(X6,X7),X6)
| X6 = X7
| v1_int_1(sK15(X6,X7))
| ~ v4_membered(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_683])]) ).
fof(f5357,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_int_1(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_683 ),
inference(resolution,[],[f4922,f4109]) ).
fof(f4922,plain,
( ! [X6,X7] :
( r2_hidden(sK15(X6,X7),X6)
| X6 = X7
| v1_int_1(sK15(X6,X7))
| ~ v4_membered(X7) )
| ~ spl28_683 ),
inference(avatar_component_clause,[],[f4921]) ).
fof(f13003,plain,
( spl28_1030
| ~ spl28_571
| ~ spl28_683 ),
inference(avatar_split_clause,[],[f5356,f4921,f4122,f13001]) ).
fof(f13001,plain,
( spl28_1030
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_int_1(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1030])]) ).
fof(f5356,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_int_1(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_683 ),
inference(resolution,[],[f4922,f4123]) ).
fof(f12999,plain,
( spl28_1029
| ~ spl28_570
| ~ spl28_682 ),
inference(avatar_split_clause,[],[f5329,f4917,f4108,f12997]) ).
fof(f12997,plain,
( spl28_1029
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1029])]) ).
fof(f4917,plain,
( spl28_682
<=> ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X4)
| X4 = X5
| v1_xreal_0(sK15(X4,X5))
| ~ v4_membered(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_682])]) ).
fof(f5329,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_682 ),
inference(resolution,[],[f4918,f4109]) ).
fof(f4918,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X4)
| X4 = X5
| v1_xreal_0(sK15(X4,X5))
| ~ v4_membered(X5) )
| ~ spl28_682 ),
inference(avatar_component_clause,[],[f4917]) ).
fof(f12995,plain,
( spl28_1028
| ~ spl28_571
| ~ spl28_682 ),
inference(avatar_split_clause,[],[f5328,f4917,f4122,f12993]) ).
fof(f12993,plain,
( spl28_1028
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1028])]) ).
fof(f5328,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xreal_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_682 ),
inference(resolution,[],[f4918,f4123]) ).
fof(f12991,plain,
( spl28_1027
| ~ spl28_570
| ~ spl28_681 ),
inference(avatar_split_clause,[],[f5301,f4913,f4108,f12989]) ).
fof(f12989,plain,
( spl28_1027
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1027])]) ).
fof(f4913,plain,
( spl28_681
<=> ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X2)
| X2 = X3
| v1_xcmplx_0(sK15(X2,X3))
| ~ v4_membered(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_681])]) ).
fof(f5301,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v4_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_681 ),
inference(resolution,[],[f4914,f4109]) ).
fof(f4914,plain,
( ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X2)
| X2 = X3
| v1_xcmplx_0(sK15(X2,X3))
| ~ v4_membered(X3) )
| ~ spl28_681 ),
inference(avatar_component_clause,[],[f4913]) ).
fof(f12987,plain,
( spl28_1026
| ~ spl28_571
| ~ spl28_681 ),
inference(avatar_split_clause,[],[f5300,f4913,f4122,f12985]) ).
fof(f12985,plain,
( spl28_1026
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1026])]) ).
fof(f5300,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| v1_xcmplx_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v4_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_681 ),
inference(resolution,[],[f4914,f4123]) ).
fof(f12983,plain,
( spl28_1025
| ~ spl28_570
| ~ spl28_679 ),
inference(avatar_split_clause,[],[f5273,f4904,f4108,f12981]) ).
fof(f12981,plain,
( spl28_1025
<=> ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| sP3(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v5_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1025])]) ).
fof(f4904,plain,
( spl28_679
<=> ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X0)
| X0 = X1
| sP3(sK15(X0,X1))
| ~ v5_membered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_679])]) ).
fof(f5273,plain,
( ! [X34,X33] :
( k1_funct_1(k9_lopclset(sK6),X33) = X34
| sP3(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34))
| ~ v5_membered(X34)
| ~ m1_subset_1(X33,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X33),X34),sK6)
| r2_hidden(X33,sK15(k1_funct_1(k9_lopclset(sK6),X33),X34)) )
| ~ spl28_570
| ~ spl28_679 ),
inference(resolution,[],[f4905,f4109]) ).
fof(f4905,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X0)
| X0 = X1
| sP3(sK15(X0,X1))
| ~ v5_membered(X1) )
| ~ spl28_679 ),
inference(avatar_component_clause,[],[f4904]) ).
fof(f12979,plain,
( spl28_1024
| ~ spl28_571
| ~ spl28_679 ),
inference(avatar_split_clause,[],[f5272,f4904,f4122,f12977]) ).
fof(f12977,plain,
( spl28_1024
<=> ! [X32,X31] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| sP3(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v5_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1024])]) ).
fof(f5272,plain,
( ! [X31,X32] :
( k1_funct_1(k9_lopclset(sK6),X31) = X32
| sP3(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32))
| ~ v5_membered(X32)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),X32),sK6) )
| ~ spl28_571
| ~ spl28_679 ),
inference(resolution,[],[f4905,f4123]) ).
fof(f12975,plain,
( spl28_1022
| spl28_1023
| ~ spl28_163
| ~ spl28_741 ),
inference(avatar_split_clause,[],[f6971,f6889,f1253,f12973,f12969]) ).
fof(f1253,plain,
( spl28_163
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_163])]) ).
fof(f6889,plain,
( spl28_741
<=> ! [X1] :
( ~ r2_hidden(X1,a_1_1_lopclset(sK6))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_741])]) ).
fof(f6971,plain,
( ! [X28] :
( ~ r2_hidden(X28,a_1_1_lopclset(sK6))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6)))
| r2_hidden(X28,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl28_163
| ~ spl28_741 ),
inference(resolution,[],[f6890,f1254]) ).
fof(f1254,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl28_163 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f6890,plain,
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r2_hidden(X1,a_1_1_lopclset(sK6)) )
| ~ spl28_741 ),
inference(avatar_component_clause,[],[f6889]) ).
fof(f12966,plain,
( spl28_1021
| ~ spl28_585
| ~ spl28_706 ),
inference(avatar_split_clause,[],[f5915,f5911,f4205,f12964]) ).
fof(f12964,plain,
( spl28_1021
<=> ! [X6,X4,X5] :
( ~ m2_relset_1(k1_funct_1(k9_lopclset(sK6),X4),X5,X6)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X5,X6)),sK6)
| ~ v1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X5,X6)),sK6)
| ~ r2_hidden(X4,k1_zfmisc_1(k2_zfmisc_1(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1021])]) ).
fof(f5911,plain,
( spl28_706
<=> ! [X4,X5,X3] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ~ m2_relset_1(X5,X3,X4)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X3,X4)),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_706])]) ).
fof(f5915,plain,
( ! [X6,X4,X5] :
( ~ m2_relset_1(k1_funct_1(k9_lopclset(sK6),X4),X5,X6)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X5,X6)))
| ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X5,X6)),sK6)
| ~ v1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X5,X6)),sK6)
| ~ r2_hidden(X4,k1_zfmisc_1(k2_zfmisc_1(X5,X6))) )
| ~ spl28_585
| ~ spl28_706 ),
inference(resolution,[],[f5912,f4206]) ).
fof(f5912,plain,
( ! [X3,X4,X5] :
( ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X3,X4)),X5)
| ~ m2_relset_1(X5,X3,X4)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X3,X4))) )
| ~ spl28_706 ),
inference(avatar_component_clause,[],[f5911]) ).
fof(f12962,plain,
( spl28_1020
| ~ spl28_570
| ~ spl28_671 ),
inference(avatar_split_clause,[],[f5046,f4872,f4108,f12960]) ).
fof(f12960,plain,
( spl28_1020
<=> ! [X32,X31] :
( ~ v1_xboole_0(X31)
| sK13(k1_zfmisc_1(X31)) = k1_funct_1(k9_lopclset(sK6),X32)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(sK13(k1_zfmisc_1(X31)),k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| r2_hidden(X32,sK15(sK13(k1_zfmisc_1(X31)),k1_funct_1(k9_lopclset(sK6),X32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1020])]) ).
fof(f4872,plain,
( spl28_671
<=> ! [X4,X3] :
( ~ v1_xboole_0(X3)
| r2_hidden(sK15(sK13(k1_zfmisc_1(X3)),X4),X4)
| sK13(k1_zfmisc_1(X3)) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_671])]) ).
fof(f5046,plain,
( ! [X31,X32] :
( ~ v1_xboole_0(X31)
| sK13(k1_zfmisc_1(X31)) = k1_funct_1(k9_lopclset(sK6),X32)
| ~ m1_subset_1(X32,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(sK13(k1_zfmisc_1(X31)),k1_funct_1(k9_lopclset(sK6),X32)),sK6)
| r2_hidden(X32,sK15(sK13(k1_zfmisc_1(X31)),k1_funct_1(k9_lopclset(sK6),X32))) )
| ~ spl28_570
| ~ spl28_671 ),
inference(resolution,[],[f4873,f4109]) ).
fof(f4873,plain,
( ! [X3,X4] :
( r2_hidden(sK15(sK13(k1_zfmisc_1(X3)),X4),X4)
| ~ v1_xboole_0(X3)
| sK13(k1_zfmisc_1(X3)) = X4 )
| ~ spl28_671 ),
inference(avatar_component_clause,[],[f4872]) ).
fof(f12958,plain,
( spl28_1019
| ~ spl28_571
| ~ spl28_671 ),
inference(avatar_split_clause,[],[f5045,f4872,f4122,f12956]) ).
fof(f12956,plain,
( spl28_1019
<=> ! [X29,X30] :
( ~ v1_xboole_0(X29)
| sK13(k1_zfmisc_1(X29)) = k1_funct_1(k9_lopclset(sK6),X30)
| ~ m1_subset_1(X30,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(sK13(k1_zfmisc_1(X29)),k1_funct_1(k9_lopclset(sK6),X30)),sK6)
| v1_filter_0(sK15(sK13(k1_zfmisc_1(X29)),k1_funct_1(k9_lopclset(sK6),X30)),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1019])]) ).
fof(f5045,plain,
( ! [X29,X30] :
( ~ v1_xboole_0(X29)
| sK13(k1_zfmisc_1(X29)) = k1_funct_1(k9_lopclset(sK6),X30)
| ~ m1_subset_1(X30,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(sK13(k1_zfmisc_1(X29)),k1_funct_1(k9_lopclset(sK6),X30)),sK6)
| v1_filter_0(sK15(sK13(k1_zfmisc_1(X29)),k1_funct_1(k9_lopclset(sK6),X30)),sK6) )
| ~ spl28_571
| ~ spl28_671 ),
inference(resolution,[],[f4873,f4123]) ).
fof(f12954,plain,
( spl28_1018
| ~ spl28_570
| ~ spl28_670 ),
inference(avatar_split_clause,[],[f5020,f4868,f4108,f12952]) ).
fof(f12952,plain,
( spl28_1018
<=> ! [X30,X31] :
( ~ v1_xboole_0(X30)
| sK13(k1_zfmisc_1(X30)) = k1_funct_1(k9_lopclset(sK6),X31)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),sK13(k1_zfmisc_1(X30))),sK6)
| r2_hidden(X31,sK15(k1_funct_1(k9_lopclset(sK6),X31),sK13(k1_zfmisc_1(X30)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1018])]) ).
fof(f4868,plain,
( spl28_670
<=> ! [X2,X1] :
( ~ v1_xboole_0(X1)
| r2_hidden(sK15(X2,sK13(k1_zfmisc_1(X1))),X2)
| sK13(k1_zfmisc_1(X1)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_670])]) ).
fof(f5020,plain,
( ! [X31,X30] :
( ~ v1_xboole_0(X30)
| sK13(k1_zfmisc_1(X30)) = k1_funct_1(k9_lopclset(sK6),X31)
| ~ m1_subset_1(X31,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X31),sK13(k1_zfmisc_1(X30))),sK6)
| r2_hidden(X31,sK15(k1_funct_1(k9_lopclset(sK6),X31),sK13(k1_zfmisc_1(X30)))) )
| ~ spl28_570
| ~ spl28_670 ),
inference(resolution,[],[f4869,f4109]) ).
fof(f4869,plain,
( ! [X2,X1] :
( r2_hidden(sK15(X2,sK13(k1_zfmisc_1(X1))),X2)
| ~ v1_xboole_0(X1)
| sK13(k1_zfmisc_1(X1)) = X2 )
| ~ spl28_670 ),
inference(avatar_component_clause,[],[f4868]) ).
fof(f12950,plain,
( spl28_1017
| ~ spl28_571
| ~ spl28_670 ),
inference(avatar_split_clause,[],[f5019,f4868,f4122,f12948]) ).
fof(f12948,plain,
( spl28_1017
<=> ! [X29,X28] :
( ~ v1_xboole_0(X28)
| sK13(k1_zfmisc_1(X28)) = k1_funct_1(k9_lopclset(sK6),X29)
| ~ m1_subset_1(X29,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X29),sK13(k1_zfmisc_1(X28))),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X29),sK13(k1_zfmisc_1(X28))),sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1017])]) ).
fof(f5019,plain,
( ! [X28,X29] :
( ~ v1_xboole_0(X28)
| sK13(k1_zfmisc_1(X28)) = k1_funct_1(k9_lopclset(sK6),X29)
| ~ m1_subset_1(X29,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X29),sK13(k1_zfmisc_1(X28))),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X29),sK13(k1_zfmisc_1(X28))),sK6) )
| ~ spl28_571
| ~ spl28_670 ),
inference(resolution,[],[f4869,f4123]) ).
fof(f12946,plain,
( spl28_1016
| ~ spl28_183
| ~ spl28_571 ),
inference(avatar_split_clause,[],[f4132,f4122,f1473,f12944]) ).
fof(f12944,plain,
( spl28_1016
<=> ! [X16,X15] :
( ~ m1_subset_1(X15,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),sK6)
| r2_hidden(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),X16)
| k1_funct_1(k9_lopclset(sK6),X15) = X16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1016])]) ).
fof(f1473,plain,
( spl28_183
<=> ! [X0,X1] :
( X0 = X1
| r2_hidden(sK15(X0,X1),X1)
| r2_hidden(sK15(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_183])]) ).
fof(f4132,plain,
( ! [X16,X15] :
( ~ m1_subset_1(X15,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),sK6)
| r2_hidden(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),X16)
| k1_funct_1(k9_lopclset(sK6),X15) = X16 )
| ~ spl28_183
| ~ spl28_571 ),
inference(resolution,[],[f4123,f1474]) ).
fof(f1474,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X1)
| r2_hidden(sK15(X0,X1),X0)
| X0 = X1 )
| ~ spl28_183 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f12942,plain,
( spl28_1015
| ~ spl28_419
| ~ spl28_571 ),
inference(avatar_split_clause,[],[f4130,f4122,f2985,f12940]) ).
fof(f12940,plain,
( spl28_1015
<=> ! [X12,X11] :
( ~ m1_subset_1(X11,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),sK6)
| m1_subset_1(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),X12)
| k1_funct_1(k9_lopclset(sK6),X11) = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1015])]) ).
fof(f2985,plain,
( spl28_419
<=> ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X0)
| X0 = X1
| m1_subset_1(sK15(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_419])]) ).
fof(f4130,plain,
( ! [X11,X12] :
( ~ m1_subset_1(X11,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),sK6)
| m1_subset_1(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),X12)
| k1_funct_1(k9_lopclset(sK6),X11) = X12 )
| ~ spl28_419
| ~ spl28_571 ),
inference(resolution,[],[f4123,f2986]) ).
fof(f2986,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X0)
| m1_subset_1(sK15(X0,X1),X1)
| X0 = X1 )
| ~ spl28_419 ),
inference(avatar_component_clause,[],[f2985]) ).
fof(f12938,plain,
( spl28_1014
| ~ spl28_183
| ~ spl28_571 ),
inference(avatar_split_clause,[],[f4129,f4122,f1473,f12936]) ).
fof(f12936,plain,
( spl28_1014
<=> ! [X9,X10] :
( ~ m1_subset_1(X9,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),sK6)
| v1_filter_0(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),sK6)
| r2_hidden(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),X10)
| k1_funct_1(k9_lopclset(sK6),X9) = X10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1014])]) ).
fof(f4129,plain,
( ! [X10,X9] :
( ~ m1_subset_1(X9,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),sK6)
| v1_filter_0(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),sK6)
| r2_hidden(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),X10)
| k1_funct_1(k9_lopclset(sK6),X9) = X10 )
| ~ spl28_183
| ~ spl28_571 ),
inference(resolution,[],[f4123,f1474]) ).
fof(f12934,plain,
( spl28_1013
| ~ spl28_421
| ~ spl28_571 ),
inference(avatar_split_clause,[],[f4127,f4122,f2993,f12932]) ).
fof(f12932,plain,
( spl28_1013
<=> ! [X6,X5] :
( ~ m1_subset_1(X5,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),sK6)
| v1_filter_0(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),sK6)
| m1_subset_1(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),X6)
| k1_funct_1(k9_lopclset(sK6),X5) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1013])]) ).
fof(f2993,plain,
( spl28_421
<=> ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK15(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_421])]) ).
fof(f4127,plain,
( ! [X6,X5] :
( ~ m1_subset_1(X5,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),sK6)
| v1_filter_0(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),sK6)
| m1_subset_1(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),X6)
| k1_funct_1(k9_lopclset(sK6),X5) = X6 )
| ~ spl28_421
| ~ spl28_571 ),
inference(resolution,[],[f4123,f2994]) ).
fof(f2994,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X1)
| m1_subset_1(sK15(X0,X1),X0)
| X0 = X1 )
| ~ spl28_421 ),
inference(avatar_component_clause,[],[f2993]) ).
fof(f12930,plain,
( ~ spl28_1012
| spl28_399
| ~ spl28_1008 ),
inference(avatar_split_clause,[],[f12763,f12759,f2888,f12927]) ).
fof(f2888,plain,
( spl28_399
<=> r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_399])]) ).
fof(f12759,plain,
( spl28_1008
<=> k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),sK7) = k1_funct_1(k9_lopclset(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1008])]) ).
fof(f12763,plain,
( ~ r2_hidden(sK8,k1_funct_1(k9_lopclset(sK6),sK7))
| spl28_399
| ~ spl28_1008 ),
inference(superposition,[],[f2890,f12761]) ).
fof(f12761,plain,
( k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),sK7) = k1_funct_1(k9_lopclset(sK6),sK7)
| ~ spl28_1008 ),
inference(avatar_component_clause,[],[f12759]) ).
fof(f2890,plain,
( ~ r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),sK7))
| spl28_399 ),
inference(avatar_component_clause,[],[f2888]) ).
fof(f12925,plain,
( spl28_1011
| ~ spl28_183
| ~ spl28_570 ),
inference(avatar_split_clause,[],[f4118,f4108,f1473,f12923]) ).
fof(f12923,plain,
( spl28_1011
<=> ! [X16,X15] :
( ~ m1_subset_1(X15,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),sK6)
| r2_hidden(X15,sK15(k1_funct_1(k9_lopclset(sK6),X15),X16))
| r2_hidden(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),X16)
| k1_funct_1(k9_lopclset(sK6),X15) = X16 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1011])]) ).
fof(f4118,plain,
( ! [X16,X15] :
( ~ m1_subset_1(X15,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),sK6)
| r2_hidden(X15,sK15(k1_funct_1(k9_lopclset(sK6),X15),X16))
| r2_hidden(sK15(k1_funct_1(k9_lopclset(sK6),X15),X16),X16)
| k1_funct_1(k9_lopclset(sK6),X15) = X16 )
| ~ spl28_183
| ~ spl28_570 ),
inference(resolution,[],[f4109,f1474]) ).
fof(f12921,plain,
( spl28_1010
| ~ spl28_419
| ~ spl28_570 ),
inference(avatar_split_clause,[],[f4116,f4108,f2985,f12919]) ).
fof(f12919,plain,
( spl28_1010
<=> ! [X12,X11] :
( ~ m1_subset_1(X11,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),sK6)
| r2_hidden(X11,sK15(k1_funct_1(k9_lopclset(sK6),X11),X12))
| m1_subset_1(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),X12)
| k1_funct_1(k9_lopclset(sK6),X11) = X12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1010])]) ).
fof(f4116,plain,
( ! [X11,X12] :
( ~ m1_subset_1(X11,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),sK6)
| r2_hidden(X11,sK15(k1_funct_1(k9_lopclset(sK6),X11),X12))
| m1_subset_1(sK15(k1_funct_1(k9_lopclset(sK6),X11),X12),X12)
| k1_funct_1(k9_lopclset(sK6),X11) = X12 )
| ~ spl28_419
| ~ spl28_570 ),
inference(resolution,[],[f4109,f2986]) ).
fof(f12826,plain,
( spl28_215
| ~ spl28_964
| ~ spl28_709
| spl28_1009
| ~ spl28_202
| ~ spl28_543 ),
inference(avatar_split_clause,[],[f3986,f3982,f1660,f12824,f5929,f12503,f1747]) ).
fof(f1747,plain,
( spl28_215
<=> v1_xboole_0(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_215])]) ).
fof(f12503,plain,
( spl28_964
<=> v1_funct_1(k9_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_964])]) ).
fof(f5929,plain,
( spl28_709
<=> m1_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_709])]) ).
fof(f12824,plain,
( spl28_1009
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK6))
| k1_funct_1(k9_lopclset(sK6),X0) = k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1009])]) ).
fof(f1660,plain,
( spl28_202
<=> ! [X0,X3,X2,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_202])]) ).
fof(f3982,plain,
( spl28_543
<=> v1_funct_2(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_543])]) ).
fof(f3986,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ m1_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| k1_funct_1(k9_lopclset(sK6),X0) = k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),X0)
| ~ v1_funct_1(k9_lopclset(sK6))
| v1_xboole_0(u1_struct_0(sK6)) )
| ~ spl28_202
| ~ spl28_543 ),
inference(resolution,[],[f3984,f1661]) ).
fof(f1661,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) )
| ~ spl28_202 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f3984,plain,
( v1_funct_2(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ spl28_543 ),
inference(avatar_component_clause,[],[f3982]) ).
fof(f12762,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_215
| ~ spl28_964
| spl28_1008
| ~ spl28_9
| ~ spl28_227
| ~ spl28_896 ),
inference(avatar_split_clause,[],[f11103,f10986,f1824,f493,f12759,f12503,f1747,f473,f468,f463,f458,f453]) ).
fof(f453,plain,
( spl28_1
<=> v3_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f458,plain,
( spl28_2
<=> v10_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f463,plain,
( spl28_3
<=> v17_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_3])]) ).
fof(f468,plain,
( spl28_4
<=> v3_realset2(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f473,plain,
( spl28_5
<=> l3_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
fof(f1824,plain,
( spl28_227
<=> k7_lopclset(sK6) = a_1_1_lopclset(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_227])]) ).
fof(f10986,plain,
( spl28_896
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0) = k1_funct_1(k9_lopclset(X1),X0)
| ~ v1_funct_1(k9_lopclset(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_896])]) ).
fof(f11103,plain,
( k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),sK7) = k1_funct_1(k9_lopclset(sK6),sK7)
| ~ v1_funct_1(k9_lopclset(sK6))
| v1_xboole_0(u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_9
| ~ spl28_227
| ~ spl28_896 ),
inference(forward_demodulation,[],[f11007,f1826]) ).
fof(f1826,plain,
( k7_lopclset(sK6) = a_1_1_lopclset(sK6)
| ~ spl28_227 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f11007,plain,
( k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7) = k1_funct_1(k9_lopclset(sK6),sK7)
| ~ v1_funct_1(k9_lopclset(sK6))
| v1_xboole_0(u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_9
| ~ spl28_896 ),
inference(resolution,[],[f10987,f495]) ).
fof(f495,plain,
( m1_subset_1(sK7,u1_struct_0(sK6))
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f10987,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0) = k1_funct_1(k9_lopclset(X1),X0)
| ~ v1_funct_1(k9_lopclset(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_896 ),
inference(avatar_component_clause,[],[f10986]) ).
fof(f12741,plain,
( ~ spl28_48
| ~ spl28_963 ),
inference(avatar_contradiction_clause,[],[f12730]) ).
fof(f12730,plain,
( $false
| ~ spl28_48
| ~ spl28_963 ),
inference(resolution,[],[f12501,f689]) ).
fof(f12501,plain,
( v1_xboole_0(k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ spl28_963 ),
inference(avatar_component_clause,[],[f12499]) ).
fof(f12499,plain,
( spl28_963
<=> v1_xboole_0(k1_zfmisc_1(a_1_1_lopclset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_963])]) ).
fof(f12729,plain,
( spl28_963
| ~ spl28_709
| ~ spl28_964
| spl28_1007
| ~ spl28_190
| ~ spl28_543 ),
inference(avatar_split_clause,[],[f3988,f3982,f1545,f12726,f12503,f5929,f12499]) ).
fof(f12726,plain,
( spl28_1007
<=> v1_partfun1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1007])]) ).
fof(f1545,plain,
( spl28_190
<=> ! [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,[spl28_190])]) ).
fof(f3988,plain,
( v1_partfun1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ v1_funct_1(k9_lopclset(sK6))
| ~ m1_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| v1_xboole_0(k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ spl28_190
| ~ spl28_543 ),
inference(resolution,[],[f3984,f1546]) ).
fof(f1546,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) )
| ~ spl28_190 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f12723,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_182
| spl28_964 ),
inference(avatar_split_clause,[],[f12511,f12503,f1469,f473,f468,f463,f458,f453]) ).
fof(f1469,plain,
( spl28_182
<=> ! [X0] :
( v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_182])]) ).
fof(f12511,plain,
( ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_182
| spl28_964 ),
inference(resolution,[],[f12505,f1470]) ).
fof(f1470,plain,
( ! [X0] :
( v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_182 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f12505,plain,
( ~ v1_funct_1(k9_lopclset(sK6))
| spl28_964 ),
inference(avatar_component_clause,[],[f12503]) ).
fof(f12722,plain,
( spl28_1006
| ~ spl28_183
| ~ spl28_570 ),
inference(avatar_split_clause,[],[f4115,f4108,f1473,f12720]) ).
fof(f12720,plain,
( spl28_1006
<=> ! [X9,X10] :
( ~ m1_subset_1(X9,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),sK6)
| r2_hidden(X9,sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)))
| r2_hidden(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),X10)
| k1_funct_1(k9_lopclset(sK6),X9) = X10 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1006])]) ).
fof(f4115,plain,
( ! [X10,X9] :
( ~ m1_subset_1(X9,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),sK6)
| r2_hidden(X9,sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)))
| r2_hidden(sK15(X10,k1_funct_1(k9_lopclset(sK6),X9)),X10)
| k1_funct_1(k9_lopclset(sK6),X9) = X10 )
| ~ spl28_183
| ~ spl28_570 ),
inference(resolution,[],[f4109,f1474]) ).
fof(f12718,plain,
( spl28_1005
| ~ spl28_421
| ~ spl28_570 ),
inference(avatar_split_clause,[],[f4113,f4108,f2993,f12716]) ).
fof(f12716,plain,
( spl28_1005
<=> ! [X6,X5] :
( ~ m1_subset_1(X5,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),sK6)
| r2_hidden(X5,sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)))
| m1_subset_1(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),X6)
| k1_funct_1(k9_lopclset(sK6),X5) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1005])]) ).
fof(f4113,plain,
( ! [X6,X5] :
( ~ m1_subset_1(X5,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),sK6)
| r2_hidden(X5,sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)))
| m1_subset_1(sK15(X6,k1_funct_1(k9_lopclset(sK6),X5)),X6)
| k1_funct_1(k9_lopclset(sK6),X5) = X6 )
| ~ spl28_421
| ~ spl28_570 ),
inference(resolution,[],[f4109,f2994]) ).
fof(f12712,plain,
( spl28_1004
| ~ spl28_468
| ~ spl28_896 ),
inference(avatar_split_clause,[],[f11098,f10986,f3347,f12710]) ).
fof(f12710,plain,
( spl28_1004
<=> ! [X25] :
( k8_funct_2(u1_struct_0(X25),k1_zfmisc_1(k7_lopclset(X25)),k9_lopclset(X25),sK7) = k1_funct_1(k9_lopclset(X25),sK7)
| ~ v1_funct_1(k9_lopclset(X25))
| v1_xboole_0(u1_struct_0(X25))
| ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| ~ m1_filter_0(sK8,X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1004])]) ).
fof(f3347,plain,
( spl28_468
<=> ! [X11] :
( ~ l3_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| m1_subset_1(sK7,u1_struct_0(X11))
| ~ m1_filter_0(sK8,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_468])]) ).
fof(f11098,plain,
( ! [X25] :
( k8_funct_2(u1_struct_0(X25),k1_zfmisc_1(k7_lopclset(X25)),k9_lopclset(X25),sK7) = k1_funct_1(k9_lopclset(X25),sK7)
| ~ v1_funct_1(k9_lopclset(X25))
| v1_xboole_0(u1_struct_0(X25))
| ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| ~ m1_filter_0(sK8,X25) )
| ~ spl28_468
| ~ spl28_896 ),
inference(duplicate_literal_removal,[],[f11008]) ).
fof(f11008,plain,
( ! [X25] :
( k8_funct_2(u1_struct_0(X25),k1_zfmisc_1(k7_lopclset(X25)),k9_lopclset(X25),sK7) = k1_funct_1(k9_lopclset(X25),sK7)
| ~ v1_funct_1(k9_lopclset(X25))
| v1_xboole_0(u1_struct_0(X25))
| ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| ~ l3_lattices(X25)
| ~ m1_filter_0(sK8,X25) )
| ~ spl28_468
| ~ spl28_896 ),
inference(resolution,[],[f10987,f3348]) ).
fof(f3348,plain,
( ! [X11] :
( m1_subset_1(sK7,u1_struct_0(X11))
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| ~ l3_lattices(X11)
| ~ m1_filter_0(sK8,X11) )
| ~ spl28_468 ),
inference(avatar_component_clause,[],[f3347]) ).
fof(f12707,plain,
( spl28_1003
| ~ spl28_166
| ~ spl28_746 ),
inference(avatar_split_clause,[],[f6913,f6909,f1265,f12704]) ).
fof(f12704,plain,
( spl28_1003
<=> m1_relset_1(k9_lopclset(sK26),u1_struct_0(sK26),k1_zfmisc_1(a_1_1_lopclset(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1003])]) ).
fof(f1265,plain,
( spl28_166
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_166])]) ).
fof(f6909,plain,
( spl28_746
<=> m2_relset_1(k9_lopclset(sK26),u1_struct_0(sK26),k1_zfmisc_1(a_1_1_lopclset(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_746])]) ).
fof(f6913,plain,
( m1_relset_1(k9_lopclset(sK26),u1_struct_0(sK26),k1_zfmisc_1(a_1_1_lopclset(sK26)))
| ~ spl28_166
| ~ spl28_746 ),
inference(resolution,[],[f6911,f1266]) ).
fof(f1266,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl28_166 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f6911,plain,
( m2_relset_1(k9_lopclset(sK26),u1_struct_0(sK26),k1_zfmisc_1(a_1_1_lopclset(sK26)))
| ~ spl28_746 ),
inference(avatar_component_clause,[],[f6909]) ).
fof(f12702,plain,
( ~ spl28_1002
| spl28_998
| ~ spl28_345
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5964,f5938,f2441,f12679,f12699]) ).
fof(f12699,plain,
( spl28_1002
<=> v1_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1002])]) ).
fof(f12679,plain,
( spl28_998
<=> v1_xcmplx_0(a_1_1_lopclset(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_998])]) ).
fof(f2441,plain,
( spl28_345
<=> ! [X22,X23] :
( ~ r1_tarski(X22,X23)
| v1_xcmplx_0(X22)
| ~ v1_membered(k1_zfmisc_1(X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_345])]) ).
fof(f5938,plain,
( spl28_711
<=> r1_tarski(a_1_1_lopclset(sK26),k1_zfmisc_1(u1_struct_0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_711])]) ).
fof(f5964,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK26))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26))))
| ~ spl28_345
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2442]) ).
fof(f2442,plain,
( ! [X22,X23] :
( ~ r1_tarski(X22,X23)
| v1_xcmplx_0(X22)
| ~ v1_membered(k1_zfmisc_1(X23)) )
| ~ spl28_345 ),
inference(avatar_component_clause,[],[f2441]) ).
fof(f5940,plain,
( r1_tarski(a_1_1_lopclset(sK26),k1_zfmisc_1(u1_struct_0(sK26)))
| ~ spl28_711 ),
inference(avatar_component_clause,[],[f5938]) ).
fof(f12697,plain,
( ~ spl28_1001
| spl28_998
| ~ spl28_343
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5962,f5938,f2433,f12679,f12694]) ).
fof(f12694,plain,
( spl28_1001
<=> v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1001])]) ).
fof(f2433,plain,
( spl28_343
<=> ! [X18,X19] :
( ~ r1_tarski(X18,X19)
| v1_xcmplx_0(X18)
| ~ v2_membered(k1_zfmisc_1(X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_343])]) ).
fof(f5962,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK26))
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26))))
| ~ spl28_343
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2434]) ).
fof(f2434,plain,
( ! [X18,X19] :
( ~ r1_tarski(X18,X19)
| v1_xcmplx_0(X18)
| ~ v2_membered(k1_zfmisc_1(X19)) )
| ~ spl28_343 ),
inference(avatar_component_clause,[],[f2433]) ).
fof(f12692,plain,
( ~ spl28_1000
| spl28_998
| ~ spl28_340
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5959,f5938,f2421,f12679,f12689]) ).
fof(f12689,plain,
( spl28_1000
<=> v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1000])]) ).
fof(f2421,plain,
( spl28_340
<=> ! [X13,X12] :
( ~ r1_tarski(X12,X13)
| v1_xcmplx_0(X12)
| ~ v3_membered(k1_zfmisc_1(X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_340])]) ).
fof(f5959,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK26))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26))))
| ~ spl28_340
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2422]) ).
fof(f2422,plain,
( ! [X12,X13] :
( ~ r1_tarski(X12,X13)
| v1_xcmplx_0(X12)
| ~ v3_membered(k1_zfmisc_1(X13)) )
| ~ spl28_340 ),
inference(avatar_component_clause,[],[f2421]) ).
fof(f12687,plain,
( ~ spl28_999
| ~ spl28_117
| ~ spl28_937 ),
inference(avatar_split_clause,[],[f12647,f12144,f991,f12684]) ).
fof(f12684,plain,
( spl28_999
<=> r2_hidden(u1_struct_0(sK6),sK13(sK13(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_999])]) ).
fof(f12144,plain,
( spl28_937
<=> r2_hidden(sK13(sK13(a_1_1_lopclset(sK6))),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_937])]) ).
fof(f12647,plain,
( ~ r2_hidden(u1_struct_0(sK6),sK13(sK13(a_1_1_lopclset(sK6))))
| ~ spl28_117
| ~ spl28_937 ),
inference(resolution,[],[f12146,f992]) ).
fof(f12146,plain,
( r2_hidden(sK13(sK13(a_1_1_lopclset(sK6))),u1_struct_0(sK6))
| ~ spl28_937 ),
inference(avatar_component_clause,[],[f12144]) ).
fof(f12682,plain,
( ~ spl28_997
| spl28_998
| ~ spl28_336
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5955,f5938,f2405,f12679,f12675]) ).
fof(f12675,plain,
( spl28_997
<=> v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_997])]) ).
fof(f2405,plain,
( spl28_336
<=> ! [X4,X5] :
( ~ r1_tarski(X4,X5)
| v1_xcmplx_0(X4)
| ~ v4_membered(k1_zfmisc_1(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_336])]) ).
fof(f5955,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK26))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26))))
| ~ spl28_336
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2406]) ).
fof(f2406,plain,
( ! [X4,X5] :
( ~ r1_tarski(X4,X5)
| v1_xcmplx_0(X4)
| ~ v4_membered(k1_zfmisc_1(X5)) )
| ~ spl28_336 ),
inference(avatar_component_clause,[],[f2405]) ).
fof(f12673,plain,
( ~ spl28_995
| spl28_996
| ~ spl28_335
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5954,f5938,f2401,f12670,f12666]) ).
fof(f12666,plain,
( spl28_995
<=> v5_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_995])]) ).
fof(f12670,plain,
( spl28_996
<=> sP3(a_1_1_lopclset(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_996])]) ).
fof(f2401,plain,
( spl28_335
<=> ! [X2,X3] :
( ~ r1_tarski(X2,X3)
| sP3(X2)
| ~ v5_membered(k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_335])]) ).
fof(f5954,plain,
( sP3(a_1_1_lopclset(sK26))
| ~ v5_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26))))
| ~ spl28_335
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2402]) ).
fof(f2402,plain,
( ! [X2,X3] :
( ~ r1_tarski(X2,X3)
| sP3(X2)
| ~ v5_membered(k1_zfmisc_1(X3)) )
| ~ spl28_335 ),
inference(avatar_component_clause,[],[f2401]) ).
fof(f12664,plain,
( spl28_994
| ~ spl28_266
| ~ spl28_645 ),
inference(avatar_split_clause,[],[f4501,f4465,f2013,f12662]) ).
fof(f12662,plain,
( spl28_994
<=> ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK19(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_994])]) ).
fof(f2013,plain,
( spl28_266
<=> ! [X4] :
( v1_xboole_0(X4)
| r2_hidden(sK13(X4),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_266])]) ).
fof(f4465,plain,
( spl28_645
<=> ! [X11,X12,X13] :
( ~ v1_xboole_0(k2_zfmisc_1(X11,X12))
| ~ r2_hidden(X13,sK19(X11,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_645])]) ).
fof(f4501,plain,
( ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK19(X5,X6)) )
| ~ spl28_266
| ~ spl28_645 ),
inference(resolution,[],[f4466,f2014]) ).
fof(f2014,plain,
( ! [X4] :
( r2_hidden(sK13(X4),X4)
| v1_xboole_0(X4) )
| ~ spl28_266 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f4466,plain,
( ! [X11,X12,X13] :
( ~ r2_hidden(X13,sK19(X11,X12))
| ~ v1_xboole_0(k2_zfmisc_1(X11,X12)) )
| ~ spl28_645 ),
inference(avatar_component_clause,[],[f4465]) ).
fof(f12660,plain,
( spl28_993
| ~ spl28_266
| ~ spl28_642 ),
inference(avatar_split_clause,[],[f4491,f4452,f2013,f12658]) ).
fof(f12658,plain,
( spl28_993
<=> ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK18(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_993])]) ).
fof(f4452,plain,
( spl28_642
<=> ! [X9,X8,X10] :
( ~ v1_xboole_0(k2_zfmisc_1(X8,X9))
| ~ r2_hidden(X10,sK18(X8,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_642])]) ).
fof(f4491,plain,
( ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK18(X5,X6)) )
| ~ spl28_266
| ~ spl28_642 ),
inference(resolution,[],[f4453,f2014]) ).
fof(f4453,plain,
( ! [X10,X8,X9] :
( ~ r2_hidden(X10,sK18(X8,X9))
| ~ v1_xboole_0(k2_zfmisc_1(X8,X9)) )
| ~ spl28_642 ),
inference(avatar_component_clause,[],[f4452]) ).
fof(f12656,plain,
( spl28_992
| ~ spl28_266
| ~ spl28_641 ),
inference(avatar_split_clause,[],[f4481,f4448,f2013,f12654]) ).
fof(f12654,plain,
( spl28_992
<=> ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK17(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_992])]) ).
fof(f4448,plain,
( spl28_641
<=> ! [X6,X5,X7] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| ~ r2_hidden(X7,sK17(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_641])]) ).
fof(f4481,plain,
( ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK17(X5,X6)) )
| ~ spl28_266
| ~ spl28_641 ),
inference(resolution,[],[f4449,f2014]) ).
fof(f4449,plain,
( ! [X6,X7,X5] :
( ~ r2_hidden(X7,sK17(X5,X6))
| ~ v1_xboole_0(k2_zfmisc_1(X5,X6)) )
| ~ spl28_641 ),
inference(avatar_component_clause,[],[f4448]) ).
fof(f12652,plain,
( spl28_991
| ~ spl28_266
| ~ spl28_640 ),
inference(avatar_split_clause,[],[f4471,f4444,f2013,f12650]) ).
fof(f12650,plain,
( spl28_991
<=> ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK16(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_991])]) ).
fof(f4444,plain,
( spl28_640
<=> ! [X2,X4,X3] :
( ~ v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X4,sK16(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_640])]) ).
fof(f4471,plain,
( ! [X6,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| v1_xboole_0(sK16(X5,X6)) )
| ~ spl28_266
| ~ spl28_640 ),
inference(resolution,[],[f4445,f2014]) ).
fof(f4445,plain,
( ! [X2,X3,X4] :
( ~ r2_hidden(X4,sK16(X2,X3))
| ~ v1_xboole_0(k2_zfmisc_1(X2,X3)) )
| ~ spl28_640 ),
inference(avatar_component_clause,[],[f4444]) ).
fof(f12644,plain,
( spl28_990
| ~ spl28_164
| ~ spl28_593 ),
inference(avatar_split_clause,[],[f4428,f4248,f1257,f12642]) ).
fof(f12642,plain,
( spl28_990
<=> ! [X0,X1] :
( v1_finset_1(sK19(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_990])]) ).
fof(f1257,plain,
( spl28_164
<=> ! [X0,X1] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_164])]) ).
fof(f4248,plain,
( spl28_593
<=> ! [X8,X7] :
( v1_finset_1(sK19(X7,X8))
| ~ v1_finset_1(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_593])]) ).
fof(f4428,plain,
( ! [X0,X1] :
( v1_finset_1(sK19(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) )
| ~ spl28_164
| ~ spl28_593 ),
inference(resolution,[],[f4249,f1258]) ).
fof(f1258,plain,
( ! [X0,X1] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) )
| ~ spl28_164 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f4249,plain,
( ! [X8,X7] :
( ~ v1_finset_1(k2_zfmisc_1(X7,X8))
| v1_finset_1(sK19(X7,X8)) )
| ~ spl28_593 ),
inference(avatar_component_clause,[],[f4248]) ).
fof(f12640,plain,
( spl28_989
| ~ spl28_164
| ~ spl28_592 ),
inference(avatar_split_clause,[],[f4427,f4244,f1257,f12638]) ).
fof(f12638,plain,
( spl28_989
<=> ! [X0,X1] :
( v1_finset_1(sK18(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_989])]) ).
fof(f4244,plain,
( spl28_592
<=> ! [X6,X5] :
( v1_finset_1(sK18(X5,X6))
| ~ v1_finset_1(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_592])]) ).
fof(f4427,plain,
( ! [X0,X1] :
( v1_finset_1(sK18(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) )
| ~ spl28_164
| ~ spl28_592 ),
inference(resolution,[],[f4245,f1258]) ).
fof(f4245,plain,
( ! [X6,X5] :
( ~ v1_finset_1(k2_zfmisc_1(X5,X6))
| v1_finset_1(sK18(X5,X6)) )
| ~ spl28_592 ),
inference(avatar_component_clause,[],[f4244]) ).
fof(f12636,plain,
( spl28_988
| ~ spl28_164
| ~ spl28_591 ),
inference(avatar_split_clause,[],[f4426,f4240,f1257,f12634]) ).
fof(f12634,plain,
( spl28_988
<=> ! [X0,X1] :
( v1_finset_1(sK17(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_988])]) ).
fof(f4240,plain,
( spl28_591
<=> ! [X4,X3] :
( v1_finset_1(sK17(X3,X4))
| ~ v1_finset_1(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_591])]) ).
fof(f4426,plain,
( ! [X0,X1] :
( v1_finset_1(sK17(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) )
| ~ spl28_164
| ~ spl28_591 ),
inference(resolution,[],[f4241,f1258]) ).
fof(f4241,plain,
( ! [X3,X4] :
( ~ v1_finset_1(k2_zfmisc_1(X3,X4))
| v1_finset_1(sK17(X3,X4)) )
| ~ spl28_591 ),
inference(avatar_component_clause,[],[f4240]) ).
fof(f12632,plain,
( spl28_987
| ~ spl28_164
| ~ spl28_590 ),
inference(avatar_split_clause,[],[f4425,f4236,f1257,f12630]) ).
fof(f12630,plain,
( spl28_987
<=> ! [X0,X1] :
( v1_finset_1(sK16(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_987])]) ).
fof(f4236,plain,
( spl28_590
<=> ! [X2,X1] :
( v1_finset_1(sK16(X1,X2))
| ~ v1_finset_1(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_590])]) ).
fof(f4425,plain,
( ! [X0,X1] :
( v1_finset_1(sK16(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) )
| ~ spl28_164
| ~ spl28_590 ),
inference(resolution,[],[f4237,f1258]) ).
fof(f4237,plain,
( ! [X2,X1] :
( ~ v1_finset_1(k2_zfmisc_1(X1,X2))
| v1_finset_1(sK16(X1,X2)) )
| ~ spl28_590 ),
inference(avatar_component_clause,[],[f4236]) ).
fof(f12628,plain,
( spl28_986
| ~ spl28_458
| ~ spl28_585 ),
inference(avatar_split_clause,[],[f4210,f4205,f3265,f12626]) ).
fof(f12626,plain,
( spl28_986
<=> ! [X6,X4,X5] :
( ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(X5,sK6)
| ~ v1_filter_0(X5,sK6)
| ~ r2_hidden(X4,X5)
| ~ l3_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| m1_subset_1(X5,u1_struct_0(X6))
| ~ m1_filter_0(k1_funct_1(k9_lopclset(sK6),X4),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_986])]) ).
fof(f3265,plain,
( spl28_458
<=> ! [X29,X30,X31] :
( ~ m1_filter_0(X29,X30)
| ~ l3_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| m1_subset_1(X31,u1_struct_0(X30))
| ~ r2_hidden(X31,X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_458])]) ).
fof(f4210,plain,
( ! [X6,X4,X5] :
( ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(X5,sK6)
| ~ v1_filter_0(X5,sK6)
| ~ r2_hidden(X4,X5)
| ~ l3_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| m1_subset_1(X5,u1_struct_0(X6))
| ~ m1_filter_0(k1_funct_1(k9_lopclset(sK6),X4),X6) )
| ~ spl28_458
| ~ spl28_585 ),
inference(resolution,[],[f4206,f3266]) ).
fof(f3266,plain,
( ! [X31,X29,X30] :
( ~ r2_hidden(X31,X29)
| ~ l3_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| m1_subset_1(X31,u1_struct_0(X30))
| ~ m1_filter_0(X29,X30) )
| ~ spl28_458 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f12620,plain,
( spl28_981
| ~ spl28_985
| ~ spl28_308
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5953,f5938,f2214,f12617,f12585]) ).
fof(f12585,plain,
( spl28_981
<=> v1_membered(a_1_1_lopclset(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_981])]) ).
fof(f12617,plain,
( spl28_985
<=> v1_membered(k1_zfmisc_1(u1_struct_0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_985])]) ).
fof(f2214,plain,
( spl28_308
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_308])]) ).
fof(f5953,plain,
( ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK26)))
| v1_membered(a_1_1_lopclset(sK26))
| ~ spl28_308
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2215]) ).
fof(f2215,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v1_membered(X1)
| v1_membered(X0) )
| ~ spl28_308 ),
inference(avatar_component_clause,[],[f2214]) ).
fof(f12602,plain,
( spl28_981
| ~ spl28_984
| ~ spl28_302
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5951,f5938,f2188,f12599,f12585]) ).
fof(f12599,plain,
( spl28_984
<=> v2_membered(k1_zfmisc_1(u1_struct_0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_984])]) ).
fof(f2188,plain,
( spl28_302
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_302])]) ).
fof(f5951,plain,
( ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK26)))
| v1_membered(a_1_1_lopclset(sK26))
| ~ spl28_302
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2189]) ).
fof(f2189,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v2_membered(X1)
| v1_membered(X0) )
| ~ spl28_302 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f12597,plain,
( spl28_981
| ~ spl28_983
| ~ spl28_293
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5948,f5938,f2152,f12594,f12585]) ).
fof(f12594,plain,
( spl28_983
<=> v3_membered(k1_zfmisc_1(u1_struct_0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_983])]) ).
fof(f2152,plain,
( spl28_293
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_293])]) ).
fof(f5948,plain,
( ~ v3_membered(k1_zfmisc_1(u1_struct_0(sK26)))
| v1_membered(a_1_1_lopclset(sK26))
| ~ spl28_293
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2153]) ).
fof(f2153,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v3_membered(X1)
| v1_membered(X0) )
| ~ spl28_293 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f12592,plain,
( spl28_981
| ~ spl28_982
| ~ spl28_280
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5944,f5938,f2098,f12589,f12585]) ).
fof(f12589,plain,
( spl28_982
<=> v4_membered(k1_zfmisc_1(u1_struct_0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_982])]) ).
fof(f2098,plain,
( spl28_280
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_280])]) ).
fof(f5944,plain,
( ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK26)))
| v1_membered(a_1_1_lopclset(sK26))
| ~ spl28_280
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2099]) ).
fof(f2099,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v4_membered(X1)
| v1_membered(X0) )
| ~ spl28_280 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f12583,plain,
( spl28_979
| ~ spl28_980
| ~ spl28_279
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5943,f5938,f2094,f12580,f12576]) ).
fof(f12576,plain,
( spl28_979
<=> v1_finset_1(a_1_1_lopclset(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_979])]) ).
fof(f12580,plain,
( spl28_980
<=> v1_finset_1(k1_zfmisc_1(u1_struct_0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_980])]) ).
fof(f2094,plain,
( spl28_279
<=> ! [X0,X1] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_279])]) ).
fof(f5943,plain,
( ~ v1_finset_1(k1_zfmisc_1(u1_struct_0(sK26)))
| v1_finset_1(a_1_1_lopclset(sK26))
| ~ spl28_279
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2095]) ).
fof(f2095,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v1_finset_1(X1)
| v1_finset_1(X0) )
| ~ spl28_279 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f12573,plain,
( spl28_977
| ~ spl28_978
| ~ spl28_276
| ~ spl28_711 ),
inference(avatar_split_clause,[],[f5942,f5938,f2082,f12570,f12566]) ).
fof(f12566,plain,
( spl28_977
<=> sP4(a_1_1_lopclset(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_977])]) ).
fof(f12570,plain,
( spl28_978
<=> v5_membered(k1_zfmisc_1(u1_struct_0(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_978])]) ).
fof(f2082,plain,
( spl28_276
<=> ! [X0,X1] :
( sP4(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_276])]) ).
fof(f5942,plain,
( ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK26)))
| sP4(a_1_1_lopclset(sK26))
| ~ spl28_276
| ~ spl28_711 ),
inference(resolution,[],[f5940,f2083]) ).
fof(f2083,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v5_membered(X1)
| sP4(X0) )
| ~ spl28_276 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f12564,plain,
( spl28_976
| ~ spl28_114
| ~ spl28_569 ),
inference(avatar_split_clause,[],[f4104,f4092,f977,f12562]) ).
fof(f12562,plain,
( spl28_976
<=> ! [X2] :
( ~ v1_xboole_0(X2)
| k1_xboole_0 = sK13(k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_976])]) ).
fof(f977,plain,
( spl28_114
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_114])]) ).
fof(f4092,plain,
( spl28_569
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK13(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_569])]) ).
fof(f4104,plain,
( ! [X2] :
( ~ v1_xboole_0(X2)
| k1_xboole_0 = sK13(k1_zfmisc_1(X2)) )
| ~ spl28_114
| ~ spl28_569 ),
inference(resolution,[],[f4093,f978]) ).
fof(f978,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl28_114 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f4093,plain,
( ! [X0] :
( v1_xboole_0(sK13(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl28_569 ),
inference(avatar_component_clause,[],[f4092]) ).
fof(f12560,plain,
( spl28_975
| ~ spl28_388
| ~ spl28_571 ),
inference(avatar_split_clause,[],[f4131,f4122,f2740,f12558]) ).
fof(f12558,plain,
( spl28_975
<=> ! [X13,X14] :
( ~ m1_subset_1(X13,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X13),X14),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X13),X14),sK6)
| k1_funct_1(k9_lopclset(sK6),X13) = X14
| ~ v1_xboole_0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_975])]) ).
fof(f4131,plain,
( ! [X14,X13] :
( ~ m1_subset_1(X13,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X13),X14),sK6)
| v1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X13),X14),sK6)
| k1_funct_1(k9_lopclset(sK6),X13) = X14
| ~ v1_xboole_0(X14) )
| ~ spl28_388
| ~ spl28_571 ),
inference(resolution,[],[f4123,f2741]) ).
fof(f12556,plain,
( spl28_974
| ~ spl28_389
| ~ spl28_571 ),
inference(avatar_split_clause,[],[f4128,f4122,f2744,f12554]) ).
fof(f12554,plain,
( spl28_974
<=> ! [X7,X8] :
( ~ m1_subset_1(X7,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)),sK6)
| v1_filter_0(sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)),sK6)
| k1_funct_1(k9_lopclset(sK6),X7) = X8
| ~ v1_xboole_0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_974])]) ).
fof(f4128,plain,
( ! [X8,X7] :
( ~ m1_subset_1(X7,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)),sK6)
| v1_filter_0(sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)),sK6)
| k1_funct_1(k9_lopclset(sK6),X7) = X8
| ~ v1_xboole_0(X8) )
| ~ spl28_389
| ~ spl28_571 ),
inference(resolution,[],[f4123,f2745]) ).
fof(f12552,plain,
( spl28_973
| ~ spl28_388
| ~ spl28_570 ),
inference(avatar_split_clause,[],[f4117,f4108,f2740,f12550]) ).
fof(f12550,plain,
( spl28_973
<=> ! [X13,X14] :
( ~ m1_subset_1(X13,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X13),X14),sK6)
| r2_hidden(X13,sK15(k1_funct_1(k9_lopclset(sK6),X13),X14))
| k1_funct_1(k9_lopclset(sK6),X13) = X14
| ~ v1_xboole_0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_973])]) ).
fof(f4117,plain,
( ! [X14,X13] :
( ~ m1_subset_1(X13,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(k1_funct_1(k9_lopclset(sK6),X13),X14),sK6)
| r2_hidden(X13,sK15(k1_funct_1(k9_lopclset(sK6),X13),X14))
| k1_funct_1(k9_lopclset(sK6),X13) = X14
| ~ v1_xboole_0(X14) )
| ~ spl28_388
| ~ spl28_570 ),
inference(resolution,[],[f4109,f2741]) ).
fof(f12548,plain,
( ~ spl28_972
| ~ spl28_117
| ~ spl28_954 ),
inference(avatar_split_clause,[],[f12423,f12412,f991,f12545]) ).
fof(f12545,plain,
( spl28_972
<=> r2_hidden(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))),a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_972])]) ).
fof(f12412,plain,
( spl28_954
<=> r2_hidden(a_1_1_lopclset(sK6),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_954])]) ).
fof(f12423,plain,
( ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))),a_1_1_lopclset(sK6))
| ~ spl28_117
| ~ spl28_954 ),
inference(resolution,[],[f12414,f992]) ).
fof(f12414,plain,
( r2_hidden(a_1_1_lopclset(sK6),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_954 ),
inference(avatar_component_clause,[],[f12412]) ).
fof(f12543,plain,
( spl28_971
| ~ spl28_389
| ~ spl28_570 ),
inference(avatar_split_clause,[],[f4114,f4108,f2744,f12541]) ).
fof(f12541,plain,
( spl28_971
<=> ! [X7,X8] :
( ~ m1_subset_1(X7,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)),sK6)
| r2_hidden(X7,sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)))
| k1_funct_1(k9_lopclset(sK6),X7) = X8
| ~ v1_xboole_0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_971])]) ).
fof(f4114,plain,
( ! [X8,X7] :
( ~ m1_subset_1(X7,u1_struct_0(sK6))
| ~ m1_filter_0(sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)),sK6)
| r2_hidden(X7,sK15(X8,k1_funct_1(k9_lopclset(sK6),X7)))
| k1_funct_1(k9_lopclset(sK6),X7) = X8
| ~ v1_xboole_0(X8) )
| ~ spl28_389
| ~ spl28_570 ),
inference(resolution,[],[f4109,f2745]) ).
fof(f12536,plain,
( spl28_970
| ~ spl28_585
| ~ spl28_649 ),
inference(avatar_split_clause,[],[f4653,f4523,f4205,f12534]) ).
fof(f12534,plain,
( spl28_970
<=> ! [X4,X3] :
( ~ r1_tarski(k1_funct_1(k9_lopclset(sK6),X3),X4)
| v1_xboole_0(k1_zfmisc_1(X4))
| ~ m1_subset_1(X3,u1_struct_0(sK6))
| ~ m1_filter_0(k1_zfmisc_1(X4),sK6)
| ~ v1_filter_0(k1_zfmisc_1(X4),sK6)
| ~ r2_hidden(X3,k1_zfmisc_1(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_970])]) ).
fof(f4523,plain,
( spl28_649
<=> ! [X2,X3] :
( v1_xboole_0(k1_zfmisc_1(X2))
| ~ r1_tarski(X3,X2)
| ~ r2_hidden(k1_zfmisc_1(X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_649])]) ).
fof(f4653,plain,
( ! [X3,X4] :
( ~ r1_tarski(k1_funct_1(k9_lopclset(sK6),X3),X4)
| v1_xboole_0(k1_zfmisc_1(X4))
| ~ m1_subset_1(X3,u1_struct_0(sK6))
| ~ m1_filter_0(k1_zfmisc_1(X4),sK6)
| ~ v1_filter_0(k1_zfmisc_1(X4),sK6)
| ~ r2_hidden(X3,k1_zfmisc_1(X4)) )
| ~ spl28_585
| ~ spl28_649 ),
inference(resolution,[],[f4524,f4206]) ).
fof(f4524,plain,
( ! [X2,X3] :
( ~ r2_hidden(k1_zfmisc_1(X2),X3)
| ~ r1_tarski(X3,X2)
| v1_xboole_0(k1_zfmisc_1(X2)) )
| ~ spl28_649 ),
inference(avatar_component_clause,[],[f4523]) ).
fof(f12527,plain,
( spl28_969
| ~ spl28_95
| ~ spl28_569 ),
inference(avatar_split_clause,[],[f4106,f4092,f876,f12525]) ).
fof(f12525,plain,
( spl28_969
<=> ! [X4] :
( ~ v1_xboole_0(X4)
| v1_finset_1(sK13(k1_zfmisc_1(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_969])]) ).
fof(f876,plain,
( spl28_95
<=> ! [X0] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_95])]) ).
fof(f4106,plain,
( ! [X4] :
( ~ v1_xboole_0(X4)
| v1_finset_1(sK13(k1_zfmisc_1(X4))) )
| ~ spl28_95
| ~ spl28_569 ),
inference(resolution,[],[f4093,f877]) ).
fof(f877,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_finset_1(X0) )
| ~ spl28_95 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f12523,plain,
( spl28_968
| ~ spl28_101
| ~ spl28_569 ),
inference(avatar_split_clause,[],[f4105,f4092,f900,f12521]) ).
fof(f12521,plain,
( spl28_968
<=> ! [X3] :
( ~ v1_xboole_0(X3)
| sP5(sK13(k1_zfmisc_1(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_968])]) ).
fof(f900,plain,
( spl28_101
<=> ! [X0] :
( sP5(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_101])]) ).
fof(f4105,plain,
( ! [X3] :
( ~ v1_xboole_0(X3)
| sP5(sK13(k1_zfmisc_1(X3))) )
| ~ spl28_101
| ~ spl28_569 ),
inference(resolution,[],[f4093,f901]) ).
fof(f901,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sP5(X0) )
| ~ spl28_101 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f12519,plain,
( spl28_967
| ~ spl28_266
| ~ spl28_571 ),
inference(avatar_split_clause,[],[f4126,f4122,f2013,f12517]) ).
fof(f12517,plain,
( spl28_967
<=> ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(sK13(k1_funct_1(k9_lopclset(sK6),X4)),sK6)
| v1_filter_0(sK13(k1_funct_1(k9_lopclset(sK6),X4)),sK6)
| v1_xboole_0(k1_funct_1(k9_lopclset(sK6),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_967])]) ).
fof(f4126,plain,
( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(sK13(k1_funct_1(k9_lopclset(sK6),X4)),sK6)
| v1_filter_0(sK13(k1_funct_1(k9_lopclset(sK6),X4)),sK6)
| v1_xboole_0(k1_funct_1(k9_lopclset(sK6),X4)) )
| ~ spl28_266
| ~ spl28_571 ),
inference(resolution,[],[f4123,f2014]) ).
fof(f12515,plain,
( spl28_966
| ~ spl28_266
| ~ spl28_570 ),
inference(avatar_split_clause,[],[f4112,f4108,f2013,f12513]) ).
fof(f12513,plain,
( spl28_966
<=> ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(sK13(k1_funct_1(k9_lopclset(sK6),X4)),sK6)
| r2_hidden(X4,sK13(k1_funct_1(k9_lopclset(sK6),X4)))
| v1_xboole_0(k1_funct_1(k9_lopclset(sK6),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_966])]) ).
fof(f4112,plain,
( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(sK6))
| ~ m1_filter_0(sK13(k1_funct_1(k9_lopclset(sK6),X4)),sK6)
| r2_hidden(X4,sK13(k1_funct_1(k9_lopclset(sK6),X4)))
| v1_xboole_0(k1_funct_1(k9_lopclset(sK6),X4)) )
| ~ spl28_266
| ~ spl28_570 ),
inference(resolution,[],[f4109,f2014]) ).
fof(f12510,plain,
( spl28_215
| spl28_963
| ~ spl28_709
| ~ spl28_964
| ~ spl28_965
| ~ spl28_191
| ~ spl28_543 ),
inference(avatar_split_clause,[],[f3987,f3982,f1549,f12507,f12503,f5929,f12499,f1747]) ).
fof(f12507,plain,
( spl28_965
<=> v1_xboole_0(k9_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_965])]) ).
fof(f1549,plain,
( spl28_191
<=> ! [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,[spl28_191])]) ).
fof(f3987,plain,
( ~ v1_xboole_0(k9_lopclset(sK6))
| ~ v1_funct_1(k9_lopclset(sK6))
| ~ m1_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| v1_xboole_0(k1_zfmisc_1(a_1_1_lopclset(sK6)))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl28_191
| ~ spl28_543 ),
inference(resolution,[],[f3984,f1550]) ).
fof(f1550,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) )
| ~ spl28_191 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f12474,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_962
| spl28_415
| ~ spl28_825 ),
inference(avatar_split_clause,[],[f9872,f9856,f2953,f12471,f473,f468,f463,f458,f453]) ).
fof(f12471,plain,
( spl28_962
<=> sK13(a_1_1_lopclset(sK6)) = sK14(sK13(a_1_1_lopclset(sK6)),sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_962])]) ).
fof(f2953,plain,
( spl28_415
<=> v1_xboole_0(a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_415])]) ).
fof(f9856,plain,
( spl28_825
<=> ! [X3] :
( v1_xboole_0(a_1_1_lopclset(X3))
| sK13(a_1_1_lopclset(X3)) = sK14(sK13(a_1_1_lopclset(X3)),X3)
| ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_825])]) ).
fof(f9872,plain,
( sK13(a_1_1_lopclset(sK6)) = sK14(sK13(a_1_1_lopclset(sK6)),sK6)
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| spl28_415
| ~ spl28_825 ),
inference(resolution,[],[f9857,f2955]) ).
fof(f2955,plain,
( ~ v1_xboole_0(a_1_1_lopclset(sK6))
| spl28_415 ),
inference(avatar_component_clause,[],[f2953]) ).
fof(f9857,plain,
( ! [X3] :
( v1_xboole_0(a_1_1_lopclset(X3))
| sK13(a_1_1_lopclset(X3)) = sK14(sK13(a_1_1_lopclset(X3)),X3)
| ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3) )
| ~ spl28_825 ),
inference(avatar_component_clause,[],[f9856]) ).
fof(f12469,plain,
( spl28_961
| ~ spl28_117
| ~ spl28_585 ),
inference(avatar_split_clause,[],[f4212,f4205,f991,f12467]) ).
fof(f12467,plain,
( spl28_961
<=> ! [X9,X10] :
( ~ m1_subset_1(X9,u1_struct_0(sK6))
| ~ m1_filter_0(X10,sK6)
| ~ v1_filter_0(X10,sK6)
| ~ r2_hidden(X9,X10)
| ~ r2_hidden(k1_funct_1(k9_lopclset(sK6),X9),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_961])]) ).
fof(f4212,plain,
( ! [X10,X9] :
( ~ m1_subset_1(X9,u1_struct_0(sK6))
| ~ m1_filter_0(X10,sK6)
| ~ v1_filter_0(X10,sK6)
| ~ r2_hidden(X9,X10)
| ~ r2_hidden(k1_funct_1(k9_lopclset(sK6),X9),X10) )
| ~ spl28_117
| ~ spl28_585 ),
inference(resolution,[],[f4206,f992]) ).
fof(f12465,plain,
( spl28_960
| ~ spl28_119
| ~ spl28_585 ),
inference(avatar_split_clause,[],[f4211,f4205,f1000,f12463]) ).
fof(f12463,plain,
( spl28_960
<=> ! [X7,X8] :
( ~ m1_subset_1(X7,u1_struct_0(sK6))
| ~ m1_filter_0(X8,sK6)
| ~ v1_filter_0(X8,sK6)
| ~ r2_hidden(X7,X8)
| m1_subset_1(X8,k1_funct_1(k9_lopclset(sK6),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_960])]) ).
fof(f1000,plain,
( spl28_119
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_119])]) ).
fof(f4211,plain,
( ! [X8,X7] :
( ~ m1_subset_1(X7,u1_struct_0(sK6))
| ~ m1_filter_0(X8,sK6)
| ~ v1_filter_0(X8,sK6)
| ~ r2_hidden(X7,X8)
| m1_subset_1(X8,k1_funct_1(k9_lopclset(sK6),X7)) )
| ~ spl28_119
| ~ spl28_585 ),
inference(resolution,[],[f4206,f1001]) ).
fof(f1001,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl28_119 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f12458,plain,
( spl28_959
| spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_6
| ~ spl28_7
| ~ spl28_824 ),
inference(avatar_split_clause,[],[f9852,f9486,f483,f478,f473,f468,f463,f458,f453,f12455]) ).
fof(f12455,plain,
( spl28_959
<=> sK8 = sK14(sK8,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_959])]) ).
fof(f9486,plain,
( spl28_824
<=> ! [X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK14(X0,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_824])]) ).
fof(f9852,plain,
( ~ m1_filter_0(sK8,sK6)
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| sK8 = sK14(sK8,sK6)
| ~ spl28_7
| ~ spl28_824 ),
inference(resolution,[],[f9487,f485]) ).
fof(f485,plain,
( v1_filter_0(sK8,sK6)
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f9487,plain,
( ! [X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK14(X0,X1) = X0 )
| ~ spl28_824 ),
inference(avatar_component_clause,[],[f9486]) ).
fof(f12449,plain,
( spl28_958
| ~ spl28_163
| ~ spl28_468 ),
inference(avatar_split_clause,[],[f3377,f3347,f1253,f12447]) ).
fof(f12447,plain,
( spl28_958
<=> ! [X11] :
( ~ v10_lattices(X11)
| v3_struct_0(X11)
| ~ l3_lattices(X11)
| ~ m1_filter_0(sK8,X11)
| v1_xboole_0(u1_struct_0(X11))
| r2_hidden(sK7,u1_struct_0(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_958])]) ).
fof(f3377,plain,
( ! [X11] :
( ~ v10_lattices(X11)
| v3_struct_0(X11)
| ~ l3_lattices(X11)
| ~ m1_filter_0(sK8,X11)
| v1_xboole_0(u1_struct_0(X11))
| r2_hidden(sK7,u1_struct_0(X11)) )
| ~ spl28_163
| ~ spl28_468 ),
inference(resolution,[],[f3348,f1254]) ).
fof(f12445,plain,
( spl28_957
| ~ spl28_273
| ~ spl28_746 ),
inference(avatar_split_clause,[],[f6914,f6909,f2042,f12442]) ).
fof(f12442,plain,
( spl28_957
<=> v1_relat_1(k9_lopclset(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_957])]) ).
fof(f2042,plain,
( spl28_273
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_273])]) ).
fof(f6914,plain,
( v1_relat_1(k9_lopclset(sK26))
| ~ spl28_273
| ~ spl28_746 ),
inference(resolution,[],[f6911,f2043]) ).
fof(f2043,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl28_273 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f12428,plain,
( spl28_956
| ~ spl28_416
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3980,f3961,f2963,f12426]) ).
fof(f12426,plain,
( spl28_956
<=> ! [X1] :
( ~ r2_hidden(X1,k9_lopclset(sK6))
| m1_subset_1(X1,k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_956])]) ).
fof(f2963,plain,
( spl28_416
<=> ! [X5,X4,X6,X3] :
( m1_subset_1(X3,k2_zfmisc_1(X4,X5))
| ~ r2_hidden(X3,X6)
| ~ m2_relset_1(X6,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_416])]) ).
fof(f3961,plain,
( spl28_542
<=> m2_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_542])]) ).
fof(f3980,plain,
( ! [X1] :
( ~ r2_hidden(X1,k9_lopclset(sK6))
| m1_subset_1(X1,k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) )
| ~ spl28_416
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2964]) ).
fof(f2964,plain,
( ! [X3,X6,X4,X5] :
( ~ m2_relset_1(X6,X4,X5)
| ~ r2_hidden(X3,X6)
| m1_subset_1(X3,k2_zfmisc_1(X4,X5)) )
| ~ spl28_416 ),
inference(avatar_component_clause,[],[f2963]) ).
fof(f3963,plain,
( m2_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ spl28_542 ),
inference(avatar_component_clause,[],[f3961]) ).
fof(f12419,plain,
( spl28_954
| spl28_955
| ~ spl28_163
| ~ spl28_541 ),
inference(avatar_split_clause,[],[f3959,f3929,f1253,f12416,f12412]) ).
fof(f12416,plain,
( spl28_955
<=> v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_955])]) ).
fof(f3929,plain,
( spl28_541
<=> m1_subset_1(a_1_1_lopclset(sK6),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_541])]) ).
fof(f3959,plain,
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| r2_hidden(a_1_1_lopclset(sK6),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_163
| ~ spl28_541 ),
inference(resolution,[],[f3931,f1254]) ).
fof(f3931,plain,
( m1_subset_1(a_1_1_lopclset(sK6),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_541 ),
inference(avatar_component_clause,[],[f3929]) ).
fof(f12406,plain,
( spl28_953
| ~ spl28_205
| ~ spl28_539 ),
inference(avatar_split_clause,[],[f3863,f3854,f1678,f12404]) ).
fof(f12404,plain,
( spl28_953
<=> ! [X18,X17,X16,X15] :
( ~ v1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X17)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X17)
| ~ m1_subset_1(X18,u1_struct_0(X17))
| ~ l3_lattices(X17)
| v3_realset2(X17)
| ~ v17_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| k1_funct_1(k8_lopclset(X15),X16) = k1_funct_1(k8_lopclset(X17),X18)
| ~ r2_hidden(X18,sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)))
| ~ r2_hidden(X16,sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)))
| ~ v1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X15)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X15)
| ~ m1_subset_1(X16,u1_struct_0(X15))
| ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_953])]) ).
fof(f1678,plain,
( spl28_205
<=> ! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_205])]) ).
fof(f3854,plain,
( spl28_539
<=> ! [X16,X17,X15] :
( ~ r2_hidden(X15,sK15(X16,k1_funct_1(k8_lopclset(X17),X15)))
| ~ v1_filter_0(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X17)
| ~ m1_filter_0(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X17)
| ~ m1_subset_1(X15,u1_struct_0(X17))
| ~ l3_lattices(X17)
| v3_realset2(X17)
| ~ v17_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| k1_funct_1(k8_lopclset(X17),X15) = X16
| ~ r2_hidden(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_539])]) ).
fof(f3863,plain,
( ! [X18,X16,X17,X15] :
( ~ v1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X17)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X17)
| ~ m1_subset_1(X18,u1_struct_0(X17))
| ~ l3_lattices(X17)
| v3_realset2(X17)
| ~ v17_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| k1_funct_1(k8_lopclset(X15),X16) = k1_funct_1(k8_lopclset(X17),X18)
| ~ r2_hidden(X18,sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)))
| ~ r2_hidden(X16,sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)))
| ~ v1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X15)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X15),X16),k1_funct_1(k8_lopclset(X17),X18)),X15)
| ~ m1_subset_1(X16,u1_struct_0(X15))
| ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15) )
| ~ spl28_205
| ~ spl28_539 ),
inference(resolution,[],[f3855,f1679]) ).
fof(f1679,plain,
( ! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_205 ),
inference(avatar_component_clause,[],[f1678]) ).
fof(f3855,plain,
( ! [X16,X17,X15] :
( ~ r2_hidden(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X16)
| ~ v1_filter_0(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X17)
| ~ m1_filter_0(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X17)
| ~ m1_subset_1(X15,u1_struct_0(X17))
| ~ l3_lattices(X17)
| v3_realset2(X17)
| ~ v17_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| k1_funct_1(k8_lopclset(X17),X15) = X16
| ~ r2_hidden(X15,sK15(X16,k1_funct_1(k8_lopclset(X17),X15))) )
| ~ spl28_539 ),
inference(avatar_component_clause,[],[f3854]) ).
fof(f12400,plain,
( spl28_952
| ~ spl28_492
| ~ spl28_539 ),
inference(avatar_split_clause,[],[f3867,f3854,f3505,f12398]) ).
fof(f12398,plain,
( spl28_952
<=> ! [X29,X30,X31] :
( ~ v1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X30)
| ~ m1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X30)
| ~ m1_subset_1(X31,u1_struct_0(X30))
| ~ l3_lattices(X30)
| v3_realset2(X30)
| ~ v17_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| a_1_1_lopclset(X29) = k1_funct_1(k8_lopclset(X30),X31)
| ~ r2_hidden(X31,sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)))
| ~ v1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X29)
| ~ m1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X29)
| ~ l3_lattices(X29)
| v3_realset2(X29)
| ~ v17_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_952])]) ).
fof(f3505,plain,
( spl28_492
<=> ! [X0,X1] :
( ~ v1_filter_0(X0,X1)
| r2_hidden(X0,a_1_1_lopclset(X1))
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_492])]) ).
fof(f3867,plain,
( ! [X31,X29,X30] :
( ~ v1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X30)
| ~ m1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X30)
| ~ m1_subset_1(X31,u1_struct_0(X30))
| ~ l3_lattices(X30)
| v3_realset2(X30)
| ~ v17_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| a_1_1_lopclset(X29) = k1_funct_1(k8_lopclset(X30),X31)
| ~ r2_hidden(X31,sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)))
| ~ v1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X29)
| ~ m1_filter_0(sK15(a_1_1_lopclset(X29),k1_funct_1(k8_lopclset(X30),X31)),X29)
| ~ l3_lattices(X29)
| v3_realset2(X29)
| ~ v17_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29) )
| ~ spl28_492
| ~ spl28_539 ),
inference(resolution,[],[f3855,f3506]) ).
fof(f3506,plain,
( ! [X0,X1] :
( r2_hidden(X0,a_1_1_lopclset(X1))
| ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_492 ),
inference(avatar_component_clause,[],[f3505]) ).
fof(f12394,plain,
( spl28_951
| ~ spl28_443
| ~ spl28_539 ),
inference(avatar_split_clause,[],[f3865,f3854,f3201,f12392]) ).
fof(f12392,plain,
( spl28_951
<=> ! [X24,X23,X25,X22] :
( ~ v1_filter_0(sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)),X24)
| ~ m1_filter_0(sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)),X24)
| ~ m1_subset_1(X25,u1_struct_0(X24))
| ~ l3_lattices(X24)
| v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| k1_funct_1(k8_lopclset(X24),X25) = k1_zfmisc_1(k2_zfmisc_1(X22,X23))
| ~ r2_hidden(X25,sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X22,X23)))
| ~ m2_relset_1(sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)),X22,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_951])]) ).
fof(f3201,plain,
( spl28_443
<=> ! [X80,X81,X79] :
( ~ m2_relset_1(X79,X80,X81)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X80,X81)))
| r2_hidden(X79,k1_zfmisc_1(k2_zfmisc_1(X80,X81))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_443])]) ).
fof(f3865,plain,
( ! [X24,X22,X25,X23] :
( ~ v1_filter_0(sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)),X24)
| ~ m1_filter_0(sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)),X24)
| ~ m1_subset_1(X25,u1_struct_0(X24))
| ~ l3_lattices(X24)
| v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| k1_funct_1(k8_lopclset(X24),X25) = k1_zfmisc_1(k2_zfmisc_1(X22,X23))
| ~ r2_hidden(X25,sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X22,X23)))
| ~ m2_relset_1(sK15(k1_zfmisc_1(k2_zfmisc_1(X22,X23)),k1_funct_1(k8_lopclset(X24),X25)),X22,X23) )
| ~ spl28_443
| ~ spl28_539 ),
inference(resolution,[],[f3855,f3202]) ).
fof(f3202,plain,
( ! [X80,X81,X79] :
( r2_hidden(X79,k1_zfmisc_1(k2_zfmisc_1(X80,X81)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X80,X81)))
| ~ m2_relset_1(X79,X80,X81) )
| ~ spl28_443 ),
inference(avatar_component_clause,[],[f3201]) ).
fof(f12388,plain,
( spl28_950
| ~ spl28_473
| ~ spl28_539 ),
inference(avatar_split_clause,[],[f3866,f3854,f3379,f12386]) ).
fof(f12386,plain,
( spl28_950
<=> ! [X27,X28,X26] :
( ~ v1_filter_0(sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_filter_0(sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_subset_1(X28,u1_struct_0(X27))
| ~ l3_lattices(X27)
| v3_realset2(X27)
| ~ v17_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| k1_zfmisc_1(u1_struct_0(X26)) = k1_funct_1(k8_lopclset(X27),X28)
| ~ r2_hidden(X28,sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)))
| ~ l3_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X26)))
| ~ m1_filter_0(sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)),X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_950])]) ).
fof(f3379,plain,
( spl28_473
<=> ! [X54,X55] :
( ~ m1_filter_0(X54,X55)
| ~ l3_lattices(X55)
| ~ v10_lattices(X55)
| v3_struct_0(X55)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X55)))
| r2_hidden(X54,k1_zfmisc_1(u1_struct_0(X55))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_473])]) ).
fof(f3866,plain,
( ! [X28,X26,X27] :
( ~ v1_filter_0(sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_filter_0(sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_subset_1(X28,u1_struct_0(X27))
| ~ l3_lattices(X27)
| v3_realset2(X27)
| ~ v17_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| k1_zfmisc_1(u1_struct_0(X26)) = k1_funct_1(k8_lopclset(X27),X28)
| ~ r2_hidden(X28,sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)))
| ~ l3_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X26)))
| ~ m1_filter_0(sK15(k1_zfmisc_1(u1_struct_0(X26)),k1_funct_1(k8_lopclset(X27),X28)),X26) )
| ~ spl28_473
| ~ spl28_539 ),
inference(resolution,[],[f3855,f3380]) ).
fof(f3380,plain,
( ! [X54,X55] :
( r2_hidden(X54,k1_zfmisc_1(u1_struct_0(X55)))
| ~ l3_lattices(X55)
| ~ v10_lattices(X55)
| v3_struct_0(X55)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X55)))
| ~ m1_filter_0(X54,X55) )
| ~ spl28_473 ),
inference(avatar_component_clause,[],[f3379]) ).
fof(f12325,plain,
( spl28_949
| ~ spl28_114
| ~ spl28_908 ),
inference(avatar_split_clause,[],[f11585,f11306,f977,f12322]) ).
fof(f12322,plain,
( spl28_949
<=> k1_xboole_0 = sK13(a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_949])]) ).
fof(f11306,plain,
( spl28_908
<=> v1_xboole_0(sK13(a_1_1_lopclset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_908])]) ).
fof(f11585,plain,
( k1_xboole_0 = sK13(a_1_1_lopclset(sK6))
| ~ spl28_114
| ~ spl28_908 ),
inference(resolution,[],[f11308,f978]) ).
fof(f11308,plain,
( v1_xboole_0(sK13(a_1_1_lopclset(sK6)))
| ~ spl28_908 ),
inference(avatar_component_clause,[],[f11306]) ).
fof(f12320,plain,
( spl28_948
| ~ spl28_522
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3797,f3769,f3701,f12318]) ).
fof(f12318,plain,
( spl28_948
<=> ! [X11,X13,X14,X12,X15] :
( ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| sK15(a_1_1_lopclset(X11),k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)) = sK14(sK15(a_1_1_lopclset(X11),k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)),X11)
| a_1_1_lopclset(X11) = k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)
| ~ m1_relset_1(X14,X12,k1_zfmisc_1(X13))
| ~ v1_funct_2(X14,X12,k1_zfmisc_1(X13))
| ~ v1_funct_1(X14)
| v1_xboole_0(X12)
| m1_subset_1(sK15(a_1_1_lopclset(X11),k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)),X13)
| ~ m1_subset_1(X15,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_948])]) ).
fof(f3701,plain,
( spl28_522
<=> ! [X105,X106,X108,X109,X107] :
( ~ m1_subset_1(X105,X106)
| ~ m1_relset_1(X107,X106,k1_zfmisc_1(X108))
| ~ v1_funct_2(X107,X106,k1_zfmisc_1(X108))
| ~ v1_funct_1(X107)
| v1_xboole_0(X106)
| m1_subset_1(X109,X108)
| ~ r2_hidden(X109,k8_funct_2(X106,k1_zfmisc_1(X108),X107,X105)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_522])]) ).
fof(f3769,plain,
( spl28_531
<=> ! [X2,X3] :
( sK15(a_1_1_lopclset(X2),X3) = sK14(sK15(a_1_1_lopclset(X2),X3),X2)
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(sK15(a_1_1_lopclset(X2),X3),X3)
| a_1_1_lopclset(X2) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_531])]) ).
fof(f3797,plain,
( ! [X11,X14,X15,X12,X13] :
( ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| sK15(a_1_1_lopclset(X11),k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)) = sK14(sK15(a_1_1_lopclset(X11),k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)),X11)
| a_1_1_lopclset(X11) = k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)
| ~ m1_relset_1(X14,X12,k1_zfmisc_1(X13))
| ~ v1_funct_2(X14,X12,k1_zfmisc_1(X13))
| ~ v1_funct_1(X14)
| v1_xboole_0(X12)
| m1_subset_1(sK15(a_1_1_lopclset(X11),k8_funct_2(X12,k1_zfmisc_1(X13),X14,X15)),X13)
| ~ m1_subset_1(X15,X12) )
| ~ spl28_522
| ~ spl28_531 ),
inference(resolution,[],[f3770,f3702]) ).
fof(f3702,plain,
( ! [X108,X109,X106,X107,X105] :
( ~ r2_hidden(X109,k8_funct_2(X106,k1_zfmisc_1(X108),X107,X105))
| ~ m1_relset_1(X107,X106,k1_zfmisc_1(X108))
| ~ v1_funct_2(X107,X106,k1_zfmisc_1(X108))
| ~ v1_funct_1(X107)
| v1_xboole_0(X106)
| m1_subset_1(X109,X108)
| ~ m1_subset_1(X105,X106) )
| ~ spl28_522 ),
inference(avatar_component_clause,[],[f3701]) ).
fof(f3770,plain,
( ! [X2,X3] :
( r2_hidden(sK15(a_1_1_lopclset(X2),X3),X3)
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(a_1_1_lopclset(X2),X3) = sK14(sK15(a_1_1_lopclset(X2),X3),X2)
| a_1_1_lopclset(X2) = X3 )
| ~ spl28_531 ),
inference(avatar_component_clause,[],[f3769]) ).
fof(f12316,plain,
( spl28_947
| ~ spl28_522
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3781,f3765,f3701,f12314]) ).
fof(f12314,plain,
( spl28_947
<=> ! [X10,X11,X13,X14,X12] :
( ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| sK15(k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14),a_1_1_lopclset(X10)) = sK14(sK15(k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14),a_1_1_lopclset(X10)),X10)
| a_1_1_lopclset(X10) = k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14)
| ~ m1_relset_1(X13,X11,k1_zfmisc_1(X12))
| ~ v1_funct_2(X13,X11,k1_zfmisc_1(X12))
| ~ v1_funct_1(X13)
| v1_xboole_0(X11)
| m1_subset_1(sK15(k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14),a_1_1_lopclset(X10)),X12)
| ~ m1_subset_1(X14,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_947])]) ).
fof(f3765,plain,
( spl28_530
<=> ! [X0,X1] :
( sK15(X0,a_1_1_lopclset(X1)) = sK14(sK15(X0,a_1_1_lopclset(X1)),X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK15(X0,a_1_1_lopclset(X1)),X0)
| a_1_1_lopclset(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_530])]) ).
fof(f3781,plain,
( ! [X10,X11,X14,X12,X13] :
( ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| sK15(k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14),a_1_1_lopclset(X10)) = sK14(sK15(k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14),a_1_1_lopclset(X10)),X10)
| a_1_1_lopclset(X10) = k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14)
| ~ m1_relset_1(X13,X11,k1_zfmisc_1(X12))
| ~ v1_funct_2(X13,X11,k1_zfmisc_1(X12))
| ~ v1_funct_1(X13)
| v1_xboole_0(X11)
| m1_subset_1(sK15(k8_funct_2(X11,k1_zfmisc_1(X12),X13,X14),a_1_1_lopclset(X10)),X12)
| ~ m1_subset_1(X14,X11) )
| ~ spl28_522
| ~ spl28_530 ),
inference(resolution,[],[f3766,f3702]) ).
fof(f3766,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,a_1_1_lopclset(X1)),X0)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X0,a_1_1_lopclset(X1)) = sK14(sK15(X0,a_1_1_lopclset(X1)),X1)
| a_1_1_lopclset(X1) = X0 )
| ~ spl28_530 ),
inference(avatar_component_clause,[],[f3765]) ).
fof(f12304,plain,
( spl28_946
| ~ spl28_203
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3801,f3769,f1666,f12302]) ).
fof(f12302,plain,
( spl28_946
<=> ! [X27,X28,X26] :
( ~ l3_lattices(X26)
| v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)) = sK14(sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)),X26)
| a_1_1_lopclset(X26) = k1_funct_1(k8_lopclset(X27),X28)
| v1_filter_0(sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_filter_0(sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_subset_1(X28,u1_struct_0(X27))
| ~ l3_lattices(X27)
| v3_realset2(X27)
| ~ v17_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_946])]) ).
fof(f1666,plain,
( spl28_203
<=> ! [X2,X0,X1] :
( v1_filter_0(X2,X0)
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_203])]) ).
fof(f3801,plain,
( ! [X28,X26,X27] :
( ~ l3_lattices(X26)
| v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)) = sK14(sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)),X26)
| a_1_1_lopclset(X26) = k1_funct_1(k8_lopclset(X27),X28)
| v1_filter_0(sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_filter_0(sK15(a_1_1_lopclset(X26),k1_funct_1(k8_lopclset(X27),X28)),X27)
| ~ m1_subset_1(X28,u1_struct_0(X27))
| ~ l3_lattices(X27)
| v3_realset2(X27)
| ~ v17_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27) )
| ~ spl28_203
| ~ spl28_531 ),
inference(resolution,[],[f3770,f1667]) ).
fof(f1667,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_203 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f12300,plain,
( spl28_945
| ~ spl28_204
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3800,f3769,f1670,f12298]) ).
fof(f12298,plain,
( spl28_945
<=> ! [X24,X25,X23] :
( ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23)
| sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)) = sK14(sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)),X23)
| a_1_1_lopclset(X23) = k1_funct_1(k8_lopclset(X24),X25)
| r2_hidden(X25,sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)))
| ~ m1_filter_0(sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)),X24)
| ~ m1_subset_1(X25,u1_struct_0(X24))
| ~ l3_lattices(X24)
| v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_945])]) ).
fof(f1670,plain,
( spl28_204
<=> ! [X2,X0,X1] :
( r2_hidden(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_204])]) ).
fof(f3800,plain,
( ! [X24,X25,X23] :
( ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23)
| sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)) = sK14(sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)),X23)
| a_1_1_lopclset(X23) = k1_funct_1(k8_lopclset(X24),X25)
| r2_hidden(X25,sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)))
| ~ m1_filter_0(sK15(a_1_1_lopclset(X23),k1_funct_1(k8_lopclset(X24),X25)),X24)
| ~ m1_subset_1(X25,u1_struct_0(X24))
| ~ l3_lattices(X24)
| v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24) )
| ~ spl28_204
| ~ spl28_531 ),
inference(resolution,[],[f3770,f1671]) ).
fof(f1671,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| r2_hidden(X1,X2)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_204 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f12296,plain,
( spl28_944
| ~ spl28_203
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3785,f3765,f1666,f12294]) ).
fof(f12294,plain,
( spl28_944
<=> ! [X25,X27,X26] :
( ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)) = sK14(sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)),X25)
| k1_funct_1(k8_lopclset(X26),X27) = a_1_1_lopclset(X25)
| v1_filter_0(sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)),X26)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)),X26)
| ~ m1_subset_1(X27,u1_struct_0(X26))
| ~ l3_lattices(X26)
| v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_944])]) ).
fof(f3785,plain,
( ! [X26,X27,X25] :
( ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)) = sK14(sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)),X25)
| k1_funct_1(k8_lopclset(X26),X27) = a_1_1_lopclset(X25)
| v1_filter_0(sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)),X26)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X26),X27),a_1_1_lopclset(X25)),X26)
| ~ m1_subset_1(X27,u1_struct_0(X26))
| ~ l3_lattices(X26)
| v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26) )
| ~ spl28_203
| ~ spl28_530 ),
inference(resolution,[],[f3766,f1667]) ).
fof(f12292,plain,
( spl28_943
| ~ spl28_204
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3784,f3765,f1670,f12290]) ).
fof(f12290,plain,
( spl28_943
<=> ! [X22,X24,X23] :
( ~ l3_lattices(X22)
| v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)) = sK14(sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)),X22)
| k1_funct_1(k8_lopclset(X23),X24) = a_1_1_lopclset(X22)
| r2_hidden(X24,sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)),X23)
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_943])]) ).
fof(f3784,plain,
( ! [X24,X22,X23] :
( ~ l3_lattices(X22)
| v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)) = sK14(sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)),X22)
| k1_funct_1(k8_lopclset(X23),X24) = a_1_1_lopclset(X22)
| r2_hidden(X24,sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X23),X24),a_1_1_lopclset(X22)),X23)
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23) )
| ~ spl28_204
| ~ spl28_530 ),
inference(resolution,[],[f3766,f1671]) ).
fof(f12208,plain,
( spl28_942
| ~ spl28_205
| ~ spl28_526 ),
inference(avatar_split_clause,[],[f3745,f3728,f1678,f12206]) ).
fof(f12206,plain,
( spl28_942
<=> ! [X0,X3,X2,X1] :
( ~ v1_filter_0(k1_funct_1(k8_lopclset(X0),X1),X2)
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X0),X1),X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r2_hidden(X3,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,k1_funct_1(k8_lopclset(X2),X3))
| ~ v1_filter_0(k1_funct_1(k8_lopclset(X2),X3),X0)
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X2),X3),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_942])]) ).
fof(f3728,plain,
( spl28_526
<=> ! [X9,X11,X10] :
( ~ r2_hidden(X9,X10)
| ~ v1_filter_0(X10,X11)
| ~ m1_filter_0(X10,X11)
| ~ m1_subset_1(X9,u1_struct_0(X11))
| ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| ~ r2_hidden(k1_funct_1(k8_lopclset(X11),X9),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_526])]) ).
fof(f3745,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_filter_0(k1_funct_1(k8_lopclset(X0),X1),X2)
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X0),X1),X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ r2_hidden(X3,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,k1_funct_1(k8_lopclset(X2),X3))
| ~ v1_filter_0(k1_funct_1(k8_lopclset(X2),X3),X0)
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X2),X3),X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_205
| ~ spl28_526 ),
inference(resolution,[],[f3729,f1679]) ).
fof(f3729,plain,
( ! [X10,X11,X9] :
( ~ r2_hidden(k1_funct_1(k8_lopclset(X11),X9),X10)
| ~ v1_filter_0(X10,X11)
| ~ m1_filter_0(X10,X11)
| ~ m1_subset_1(X9,u1_struct_0(X11))
| ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| ~ r2_hidden(X9,X10) )
| ~ spl28_526 ),
inference(avatar_component_clause,[],[f3728]) ).
fof(f12175,plain,
( spl28_941
| ~ spl28_506
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3712,f3701,f3579,f12173]) ).
fof(f12173,plain,
( spl28_941
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X3,k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4),X5,X6),X2)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X5,X3,k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4))
| ~ v1_funct_2(X5,X3,k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4))
| ~ v1_funct_1(X5)
| v1_xboole_0(X3)
| v1_xboole_0(k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4))
| ~ m1_subset_1(X6,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_941])]) ).
fof(f3579,plain,
( spl28_506
<=> ! [X44,X47,X46,X45] :
( ~ m1_subset_1(X44,X45)
| ~ m1_relset_1(X46,X45,X47)
| ~ v1_funct_2(X46,X45,X47)
| ~ v1_funct_1(X46)
| v1_xboole_0(X45)
| v1_xboole_0(X47)
| r2_hidden(k8_funct_2(X45,X47,X46,X44),X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_506])]) ).
fof(f3712,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X3,k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4),X5,X6),X2)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X5,X3,k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4))
| ~ v1_funct_2(X5,X3,k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4))
| ~ v1_funct_1(X5)
| v1_xboole_0(X3)
| v1_xboole_0(k8_funct_2(X1,k1_zfmisc_1(X2),X0,X4))
| ~ m1_subset_1(X6,X3) )
| ~ spl28_506
| ~ spl28_522 ),
inference(resolution,[],[f3702,f3580]) ).
fof(f3580,plain,
( ! [X46,X47,X44,X45] :
( r2_hidden(k8_funct_2(X45,X47,X46,X44),X47)
| ~ m1_relset_1(X46,X45,X47)
| ~ v1_funct_2(X46,X45,X47)
| ~ v1_funct_1(X46)
| v1_xboole_0(X45)
| v1_xboole_0(X47)
| ~ m1_subset_1(X44,X45) )
| ~ spl28_506 ),
inference(avatar_component_clause,[],[f3579]) ).
fof(f12161,plain,
( spl28_940
| ~ spl28_360
| ~ spl28_539 ),
inference(avatar_split_clause,[],[f3864,f3854,f2627,f12159]) ).
fof(f12159,plain,
( spl28_940
<=> ! [X20,X21,X19] :
( ~ v1_filter_0(sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)),X20)
| ~ m1_filter_0(sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)),X20)
| ~ m1_subset_1(X21,u1_struct_0(X20))
| ~ l3_lattices(X20)
| v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| k1_zfmisc_1(X19) = k1_funct_1(k8_lopclset(X20),X21)
| ~ r2_hidden(X21,sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)))
| v1_xboole_0(k1_zfmisc_1(X19))
| ~ r1_tarski(sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)),X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_940])]) ).
fof(f2627,plain,
( spl28_360
<=> ! [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,[spl28_360])]) ).
fof(f3864,plain,
( ! [X21,X19,X20] :
( ~ v1_filter_0(sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)),X20)
| ~ m1_filter_0(sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)),X20)
| ~ m1_subset_1(X21,u1_struct_0(X20))
| ~ l3_lattices(X20)
| v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| k1_zfmisc_1(X19) = k1_funct_1(k8_lopclset(X20),X21)
| ~ r2_hidden(X21,sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)))
| v1_xboole_0(k1_zfmisc_1(X19))
| ~ r1_tarski(sK15(k1_zfmisc_1(X19),k1_funct_1(k8_lopclset(X20),X21)),X19) )
| ~ spl28_360
| ~ spl28_539 ),
inference(resolution,[],[f3855,f2628]) ).
fof(f2628,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl28_360 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f12157,plain,
( spl28_939
| ~ spl28_203
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3588,f3579,f1666,f12155]) ).
fof(f12155,plain,
( spl28_939
<=> ! [X30,X29,X27,X28,X26] :
( ~ m1_relset_1(X26,X27,k1_funct_1(k8_lopclset(X28),X29))
| ~ v1_funct_2(X26,X27,k1_funct_1(k8_lopclset(X28),X29))
| ~ v1_funct_1(X26)
| v1_xboole_0(X27)
| v1_xboole_0(k1_funct_1(k8_lopclset(X28),X29))
| ~ m1_subset_1(X30,X27)
| v1_filter_0(k8_funct_2(X27,k1_funct_1(k8_lopclset(X28),X29),X26,X30),X28)
| ~ m1_filter_0(k8_funct_2(X27,k1_funct_1(k8_lopclset(X28),X29),X26,X30),X28)
| ~ m1_subset_1(X29,u1_struct_0(X28))
| ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_939])]) ).
fof(f3588,plain,
( ! [X28,X29,X26,X27,X30] :
( ~ m1_relset_1(X26,X27,k1_funct_1(k8_lopclset(X28),X29))
| ~ v1_funct_2(X26,X27,k1_funct_1(k8_lopclset(X28),X29))
| ~ v1_funct_1(X26)
| v1_xboole_0(X27)
| v1_xboole_0(k1_funct_1(k8_lopclset(X28),X29))
| ~ m1_subset_1(X30,X27)
| v1_filter_0(k8_funct_2(X27,k1_funct_1(k8_lopclset(X28),X29),X26,X30),X28)
| ~ m1_filter_0(k8_funct_2(X27,k1_funct_1(k8_lopclset(X28),X29),X26,X30),X28)
| ~ m1_subset_1(X29,u1_struct_0(X28))
| ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28) )
| ~ spl28_203
| ~ spl28_506 ),
inference(resolution,[],[f3580,f1667]) ).
fof(f12153,plain,
( spl28_938
| ~ spl28_204
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3587,f3579,f1670,f12151]) ).
fof(f12151,plain,
( spl28_938
<=> ! [X24,X21,X23,X25,X22] :
( ~ m1_relset_1(X21,X22,k1_funct_1(k8_lopclset(X23),X24))
| ~ v1_funct_2(X21,X22,k1_funct_1(k8_lopclset(X23),X24))
| ~ v1_funct_1(X21)
| v1_xboole_0(X22)
| v1_xboole_0(k1_funct_1(k8_lopclset(X23),X24))
| ~ m1_subset_1(X25,X22)
| r2_hidden(X24,k8_funct_2(X22,k1_funct_1(k8_lopclset(X23),X24),X21,X25))
| ~ m1_filter_0(k8_funct_2(X22,k1_funct_1(k8_lopclset(X23),X24),X21,X25),X23)
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_938])]) ).
fof(f3587,plain,
( ! [X21,X24,X22,X25,X23] :
( ~ m1_relset_1(X21,X22,k1_funct_1(k8_lopclset(X23),X24))
| ~ v1_funct_2(X21,X22,k1_funct_1(k8_lopclset(X23),X24))
| ~ v1_funct_1(X21)
| v1_xboole_0(X22)
| v1_xboole_0(k1_funct_1(k8_lopclset(X23),X24))
| ~ m1_subset_1(X25,X22)
| r2_hidden(X24,k8_funct_2(X22,k1_funct_1(k8_lopclset(X23),X24),X21,X25))
| ~ m1_filter_0(k8_funct_2(X22,k1_funct_1(k8_lopclset(X23),X24),X21,X25),X23)
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23) )
| ~ spl28_204
| ~ spl28_506 ),
inference(resolution,[],[f3580,f1671]) ).
fof(f12147,plain,
( spl28_937
| spl28_215
| ~ spl28_163
| ~ spl28_909 ),
inference(avatar_split_clause,[],[f12031,f11310,f1253,f1747,f12144]) ).
fof(f11310,plain,
( spl28_909
<=> m1_subset_1(sK13(sK13(a_1_1_lopclset(sK6))),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_909])]) ).
fof(f12031,plain,
( v1_xboole_0(u1_struct_0(sK6))
| r2_hidden(sK13(sK13(a_1_1_lopclset(sK6))),u1_struct_0(sK6))
| ~ spl28_163
| ~ spl28_909 ),
inference(resolution,[],[f11312,f1254]) ).
fof(f11312,plain,
( m1_subset_1(sK13(sK13(a_1_1_lopclset(sK6))),u1_struct_0(sK6))
| ~ spl28_909 ),
inference(avatar_component_clause,[],[f11310]) ).
fof(f12134,plain,
( spl28_936
| ~ spl28_521
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3798,f3769,f3689,f12132]) ).
fof(f12132,plain,
( spl28_936
<=> ! [X18,X20,X16,X17,X19] :
( ~ l3_lattices(X16)
| v3_realset2(X16)
| ~ v17_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| sK15(a_1_1_lopclset(X16),k8_funct_2(X17,k1_zfmisc_1(X18),X19,X20)) = sK14(sK15(a_1_1_lopclset(X16),k8_funct_2(X17,k1_zfmisc_1(X18),X19,X20)),X16)
| a_1_1_lopclset(X16) = k8_funct_2(X17,k1_zfmisc_1(X18),X19,X20)
| ~ m1_relset_1(X19,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X19,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X19)
| v1_xboole_0(X17)
| ~ v1_xboole_0(X18)
| ~ m1_subset_1(X20,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_936])]) ).
fof(f3689,plain,
( spl28_521
<=> ! [X102,X104,X100,X103,X101] :
( ~ m1_subset_1(X100,X101)
| ~ m1_relset_1(X102,X101,k1_zfmisc_1(X103))
| ~ v1_funct_2(X102,X101,k1_zfmisc_1(X103))
| ~ v1_funct_1(X102)
| v1_xboole_0(X101)
| ~ v1_xboole_0(X103)
| ~ r2_hidden(X104,k8_funct_2(X101,k1_zfmisc_1(X103),X102,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_521])]) ).
fof(f3798,plain,
( ! [X18,X19,X16,X17,X20] :
( ~ l3_lattices(X16)
| v3_realset2(X16)
| ~ v17_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| sK15(a_1_1_lopclset(X16),k8_funct_2(X17,k1_zfmisc_1(X18),X19,X20)) = sK14(sK15(a_1_1_lopclset(X16),k8_funct_2(X17,k1_zfmisc_1(X18),X19,X20)),X16)
| a_1_1_lopclset(X16) = k8_funct_2(X17,k1_zfmisc_1(X18),X19,X20)
| ~ m1_relset_1(X19,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X19,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X19)
| v1_xboole_0(X17)
| ~ v1_xboole_0(X18)
| ~ m1_subset_1(X20,X17) )
| ~ spl28_521
| ~ spl28_531 ),
inference(resolution,[],[f3770,f3690]) ).
fof(f3690,plain,
( ! [X101,X104,X102,X103,X100] :
( ~ r2_hidden(X104,k8_funct_2(X101,k1_zfmisc_1(X103),X102,X100))
| ~ m1_relset_1(X102,X101,k1_zfmisc_1(X103))
| ~ v1_funct_2(X102,X101,k1_zfmisc_1(X103))
| ~ v1_funct_1(X102)
| v1_xboole_0(X101)
| ~ v1_xboole_0(X103)
| ~ m1_subset_1(X100,X101) )
| ~ spl28_521 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f12130,plain,
( spl28_935
| ~ spl28_521
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3782,f3765,f3689,f12128]) ).
fof(f12128,plain,
( spl28_935
<=> ! [X15,X18,X17,X16,X19] :
( ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| sK15(k8_funct_2(X16,k1_zfmisc_1(X17),X18,X19),a_1_1_lopclset(X15)) = sK14(sK15(k8_funct_2(X16,k1_zfmisc_1(X17),X18,X19),a_1_1_lopclset(X15)),X15)
| k8_funct_2(X16,k1_zfmisc_1(X17),X18,X19) = a_1_1_lopclset(X15)
| ~ m1_relset_1(X18,X16,k1_zfmisc_1(X17))
| ~ v1_funct_2(X18,X16,k1_zfmisc_1(X17))
| ~ v1_funct_1(X18)
| v1_xboole_0(X16)
| ~ v1_xboole_0(X17)
| ~ m1_subset_1(X19,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_935])]) ).
fof(f3782,plain,
( ! [X18,X19,X16,X17,X15] :
( ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| sK15(k8_funct_2(X16,k1_zfmisc_1(X17),X18,X19),a_1_1_lopclset(X15)) = sK14(sK15(k8_funct_2(X16,k1_zfmisc_1(X17),X18,X19),a_1_1_lopclset(X15)),X15)
| k8_funct_2(X16,k1_zfmisc_1(X17),X18,X19) = a_1_1_lopclset(X15)
| ~ m1_relset_1(X18,X16,k1_zfmisc_1(X17))
| ~ v1_funct_2(X18,X16,k1_zfmisc_1(X17))
| ~ v1_funct_1(X18)
| v1_xboole_0(X16)
| ~ v1_xboole_0(X17)
| ~ m1_subset_1(X19,X16) )
| ~ spl28_521
| ~ spl28_530 ),
inference(resolution,[],[f3766,f3690]) ).
fof(f12123,plain,
( spl28_934
| ~ spl28_198
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3783,f3765,f1611,f12121]) ).
fof(f12121,plain,
( spl28_934
<=> ! [X20,X21] :
( ~ l3_lattices(X20)
| v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)) = sK14(sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)),X20)
| a_1_1_lopclset(X21) = a_1_1_lopclset(X20)
| sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)) = sK14(sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)),X21)
| ~ l3_lattices(X21)
| v3_realset2(X21)
| ~ v17_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_934])]) ).
fof(f1611,plain,
( spl28_198
<=> ! [X0,X1] :
( sK14(X0,X1) = X0
| ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_198])]) ).
fof(f3783,plain,
( ! [X21,X20] :
( ~ l3_lattices(X20)
| v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)) = sK14(sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)),X20)
| a_1_1_lopclset(X21) = a_1_1_lopclset(X20)
| sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)) = sK14(sK15(a_1_1_lopclset(X21),a_1_1_lopclset(X20)),X21)
| ~ l3_lattices(X21)
| v3_realset2(X21)
| ~ v17_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21) )
| ~ spl28_198
| ~ spl28_530 ),
inference(resolution,[],[f3766,f1612]) ).
fof(f1612,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_1_1_lopclset(X1))
| sK14(X0,X1) = X0
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_198 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f12117,plain,
( spl28_933
| ~ spl28_492
| ~ spl28_526 ),
inference(avatar_split_clause,[],[f3749,f3728,f3505,f12115]) ).
fof(f12115,plain,
( spl28_933
<=> ! [X16,X14,X15] :
( ~ v1_filter_0(a_1_1_lopclset(X14),X15)
| ~ m1_filter_0(a_1_1_lopclset(X14),X15)
| ~ m1_subset_1(X16,u1_struct_0(X15))
| ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| ~ r2_hidden(X16,a_1_1_lopclset(X14))
| ~ v1_filter_0(k1_funct_1(k8_lopclset(X15),X16),X14)
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X15),X16),X14)
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_933])]) ).
fof(f3749,plain,
( ! [X16,X14,X15] :
( ~ v1_filter_0(a_1_1_lopclset(X14),X15)
| ~ m1_filter_0(a_1_1_lopclset(X14),X15)
| ~ m1_subset_1(X16,u1_struct_0(X15))
| ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| ~ r2_hidden(X16,a_1_1_lopclset(X14))
| ~ v1_filter_0(k1_funct_1(k8_lopclset(X15),X16),X14)
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X15),X16),X14)
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14) )
| ~ spl28_492
| ~ spl28_526 ),
inference(resolution,[],[f3729,f3506]) ).
fof(f11820,plain,
( spl28_932
| ~ spl28_473
| ~ spl28_526 ),
inference(avatar_split_clause,[],[f3748,f3728,f3379,f11818]) ).
fof(f11818,plain,
( spl28_932
<=> ! [X11,X12,X13] :
( ~ v1_filter_0(k1_zfmisc_1(u1_struct_0(X11)),X12)
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X11)),X12)
| ~ m1_subset_1(X13,u1_struct_0(X12))
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| ~ r2_hidden(X13,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l3_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X11)))
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X12),X13),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_932])]) ).
fof(f3748,plain,
( ! [X11,X12,X13] :
( ~ v1_filter_0(k1_zfmisc_1(u1_struct_0(X11)),X12)
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X11)),X12)
| ~ m1_subset_1(X13,u1_struct_0(X12))
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| ~ r2_hidden(X13,k1_zfmisc_1(u1_struct_0(X11)))
| ~ l3_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X11)))
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X12),X13),X11) )
| ~ spl28_473
| ~ spl28_526 ),
inference(resolution,[],[f3729,f3380]) ).
fof(f11816,plain,
( spl28_931
| ~ spl28_183
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3719,f3701,f1473,f11814]) ).
fof(f11814,plain,
( spl28_931
<=> ! [X38,X40,X36,X39,X37] :
( ~ m1_relset_1(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_2(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_1(X36)
| v1_xboole_0(X37)
| m1_subset_1(sK15(k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39),X40),X38)
| ~ m1_subset_1(X39,X37)
| r2_hidden(sK15(k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39),X40),X40)
| k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39) = X40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_931])]) ).
fof(f3719,plain,
( ! [X40,X38,X39,X36,X37] :
( ~ m1_relset_1(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_2(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_1(X36)
| v1_xboole_0(X37)
| m1_subset_1(sK15(k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39),X40),X38)
| ~ m1_subset_1(X39,X37)
| r2_hidden(sK15(k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39),X40),X40)
| k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39) = X40 )
| ~ spl28_183
| ~ spl28_522 ),
inference(resolution,[],[f3702,f1474]) ).
fof(f11812,plain,
( spl28_930
| ~ spl28_419
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3717,f3701,f2985,f11810]) ).
fof(f11810,plain,
( spl28_930
<=> ! [X26,X29,X27,X28,X30] :
( ~ m1_relset_1(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_2(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_1(X26)
| v1_xboole_0(X27)
| m1_subset_1(sK15(k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29),X30),X28)
| ~ m1_subset_1(X29,X27)
| m1_subset_1(sK15(k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29),X30),X30)
| k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29) = X30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_930])]) ).
fof(f3717,plain,
( ! [X28,X29,X26,X27,X30] :
( ~ m1_relset_1(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_2(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_1(X26)
| v1_xboole_0(X27)
| m1_subset_1(sK15(k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29),X30),X28)
| ~ m1_subset_1(X29,X27)
| m1_subset_1(sK15(k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29),X30),X30)
| k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29) = X30 )
| ~ spl28_419
| ~ spl28_522 ),
inference(resolution,[],[f3702,f2986]) ).
fof(f11808,plain,
( spl28_929
| ~ spl28_183
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3716,f3701,f1473,f11806]) ).
fof(f11806,plain,
( spl28_929
<=> ! [X24,X21,X23,X25,X22] :
( ~ m1_relset_1(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_2(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_1(X21)
| v1_xboole_0(X22)
| m1_subset_1(sK15(X24,k8_funct_2(X22,k1_zfmisc_1(X23),X21,X25)),X23)
| ~ m1_subset_1(X25,X22)
| r2_hidden(sK15(X24,k8_funct_2(X22,k1_zfmisc_1(X23),X21,X25)),X24)
| k8_funct_2(X22,k1_zfmisc_1(X23),X21,X25) = X24 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_929])]) ).
fof(f3716,plain,
( ! [X21,X24,X22,X25,X23] :
( ~ m1_relset_1(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_2(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_1(X21)
| v1_xboole_0(X22)
| m1_subset_1(sK15(X24,k8_funct_2(X22,k1_zfmisc_1(X23),X21,X25)),X23)
| ~ m1_subset_1(X25,X22)
| r2_hidden(sK15(X24,k8_funct_2(X22,k1_zfmisc_1(X23),X21,X25)),X24)
| k8_funct_2(X22,k1_zfmisc_1(X23),X21,X25) = X24 )
| ~ spl28_183
| ~ spl28_522 ),
inference(resolution,[],[f3702,f1474]) ).
fof(f11804,plain,
( spl28_928
| ~ spl28_421
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3714,f3701,f2993,f11802]) ).
fof(f11802,plain,
( spl28_928
<=> ! [X11,X13,X14,X12,X15] :
( ~ m1_relset_1(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_2(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_1(X11)
| v1_xboole_0(X12)
| m1_subset_1(sK15(X14,k8_funct_2(X12,k1_zfmisc_1(X13),X11,X15)),X13)
| ~ m1_subset_1(X15,X12)
| m1_subset_1(sK15(X14,k8_funct_2(X12,k1_zfmisc_1(X13),X11,X15)),X14)
| k8_funct_2(X12,k1_zfmisc_1(X13),X11,X15) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_928])]) ).
fof(f3714,plain,
( ! [X11,X14,X15,X12,X13] :
( ~ m1_relset_1(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_2(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_1(X11)
| v1_xboole_0(X12)
| m1_subset_1(sK15(X14,k8_funct_2(X12,k1_zfmisc_1(X13),X11,X15)),X13)
| ~ m1_subset_1(X15,X12)
| m1_subset_1(sK15(X14,k8_funct_2(X12,k1_zfmisc_1(X13),X11,X15)),X14)
| k8_funct_2(X12,k1_zfmisc_1(X13),X11,X15) = X14 )
| ~ spl28_421
| ~ spl28_522 ),
inference(resolution,[],[f3702,f2994]) ).
fof(f11800,plain,
( spl28_927
| ~ spl28_198
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3586,f3579,f1611,f11798]) ).
fof(f11798,plain,
( spl28_927
<=> ! [X18,X20,X17,X19] :
( ~ m1_relset_1(X17,X18,a_1_1_lopclset(X19))
| ~ v1_funct_2(X17,X18,a_1_1_lopclset(X19))
| ~ v1_funct_1(X17)
| v1_xboole_0(X18)
| v1_xboole_0(a_1_1_lopclset(X19))
| ~ m1_subset_1(X20,X18)
| k8_funct_2(X18,a_1_1_lopclset(X19),X17,X20) = sK14(k8_funct_2(X18,a_1_1_lopclset(X19),X17,X20),X19)
| ~ l3_lattices(X19)
| v3_realset2(X19)
| ~ v17_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_927])]) ).
fof(f3586,plain,
( ! [X18,X19,X17,X20] :
( ~ m1_relset_1(X17,X18,a_1_1_lopclset(X19))
| ~ v1_funct_2(X17,X18,a_1_1_lopclset(X19))
| ~ v1_funct_1(X17)
| v1_xboole_0(X18)
| v1_xboole_0(a_1_1_lopclset(X19))
| ~ m1_subset_1(X20,X18)
| k8_funct_2(X18,a_1_1_lopclset(X19),X17,X20) = sK14(k8_funct_2(X18,a_1_1_lopclset(X19),X17,X20),X19)
| ~ l3_lattices(X19)
| v3_realset2(X19)
| ~ v17_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19) )
| ~ spl28_198
| ~ spl28_506 ),
inference(resolution,[],[f3580,f1612]) ).
fof(f11786,plain,
( spl28_926
| ~ spl28_443
| ~ spl28_526 ),
inference(avatar_split_clause,[],[f3747,f3728,f3201,f11784]) ).
fof(f11784,plain,
( spl28_926
<=> ! [X10,X7,X9,X8] :
( ~ v1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X7,X8)),X9)
| ~ m1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X7,X8)),X9)
| ~ m1_subset_1(X10,u1_struct_0(X9))
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| ~ r2_hidden(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| ~ m2_relset_1(k1_funct_1(k8_lopclset(X9),X10),X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_926])]) ).
fof(f3747,plain,
( ! [X10,X8,X9,X7] :
( ~ v1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X7,X8)),X9)
| ~ m1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X7,X8)),X9)
| ~ m1_subset_1(X10,u1_struct_0(X9))
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| ~ r2_hidden(X10,k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X7,X8)))
| ~ m2_relset_1(k1_funct_1(k8_lopclset(X9),X10),X7,X8) )
| ~ spl28_443
| ~ spl28_526 ),
inference(resolution,[],[f3729,f3202]) ).
fof(f11782,plain,
( spl28_925
| ~ spl28_203
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3073,f2993,f1666,f11780]) ).
fof(f11780,plain,
( spl28_925
<=> ! [X13,X14,X15] :
( m1_subset_1(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X13)
| k1_funct_1(k8_lopclset(X14),X15) = X13
| v1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_subset_1(X15,u1_struct_0(X14))
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_925])]) ).
fof(f3073,plain,
( ! [X14,X15,X13] :
( m1_subset_1(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X13)
| k1_funct_1(k8_lopclset(X14),X15) = X13
| v1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_subset_1(X15,u1_struct_0(X14))
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14) )
| ~ spl28_203
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1667]) ).
fof(f11778,plain,
( spl28_924
| ~ spl28_204
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3072,f2993,f1670,f11776]) ).
fof(f11776,plain,
( spl28_924
<=> ! [X11,X12,X10] :
( m1_subset_1(sK15(X10,k1_funct_1(k8_lopclset(X11),X12)),X10)
| k1_funct_1(k8_lopclset(X11),X12) = X10
| r2_hidden(X12,sK15(X10,k1_funct_1(k8_lopclset(X11),X12)))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k8_lopclset(X11),X12)),X11)
| ~ m1_subset_1(X12,u1_struct_0(X11))
| ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_924])]) ).
fof(f3072,plain,
( ! [X10,X11,X12] :
( m1_subset_1(sK15(X10,k1_funct_1(k8_lopclset(X11),X12)),X10)
| k1_funct_1(k8_lopclset(X11),X12) = X10
| r2_hidden(X12,sK15(X10,k1_funct_1(k8_lopclset(X11),X12)))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k8_lopclset(X11),X12)),X11)
| ~ m1_subset_1(X12,u1_struct_0(X11))
| ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11) )
| ~ spl28_204
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1671]) ).
fof(f11774,plain,
( spl28_923
| ~ spl28_203
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3033,f2985,f1666,f11772]) ).
fof(f11772,plain,
( spl28_923
<=> ! [X13,X12,X14] :
( m1_subset_1(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X14)
| k1_funct_1(k8_lopclset(X12),X13) = X14
| v1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_subset_1(X13,u1_struct_0(X12))
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_923])]) ).
fof(f3033,plain,
( ! [X14,X12,X13] :
( m1_subset_1(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X14)
| k1_funct_1(k8_lopclset(X12),X13) = X14
| v1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_subset_1(X13,u1_struct_0(X12))
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12) )
| ~ spl28_203
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1667]) ).
fof(f11770,plain,
( spl28_922
| ~ spl28_204
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3032,f2985,f1670,f11768]) ).
fof(f11768,plain,
( spl28_922
<=> ! [X9,X11,X10] :
( m1_subset_1(sK15(k1_funct_1(k8_lopclset(X9),X10),X11),X11)
| k1_funct_1(k8_lopclset(X9),X10) = X11
| r2_hidden(X10,sK15(k1_funct_1(k8_lopclset(X9),X10),X11))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X9),X10),X11),X9)
| ~ m1_subset_1(X10,u1_struct_0(X9))
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_922])]) ).
fof(f3032,plain,
( ! [X10,X11,X9] :
( m1_subset_1(sK15(k1_funct_1(k8_lopclset(X9),X10),X11),X11)
| k1_funct_1(k8_lopclset(X9),X10) = X11
| r2_hidden(X10,sK15(k1_funct_1(k8_lopclset(X9),X10),X11))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X9),X10),X11),X9)
| ~ m1_subset_1(X10,u1_struct_0(X9))
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) )
| ~ spl28_204
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1671]) ).
fof(f11738,plain,
( spl28_921
| ~ spl28_458
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3793,f3769,f3265,f11736]) ).
fof(f11736,plain,
( spl28_921
<=> ! [X2,X4,X3] :
( ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(a_1_1_lopclset(X2),X3) = sK14(sK15(a_1_1_lopclset(X2),X3),X2)
| a_1_1_lopclset(X2) = X3
| ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(sK15(a_1_1_lopclset(X2),X3),u1_struct_0(X4))
| ~ m1_filter_0(X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_921])]) ).
fof(f3793,plain,
( ! [X2,X3,X4] :
( ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| sK15(a_1_1_lopclset(X2),X3) = sK14(sK15(a_1_1_lopclset(X2),X3),X2)
| a_1_1_lopclset(X2) = X3
| ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(sK15(a_1_1_lopclset(X2),X3),u1_struct_0(X4))
| ~ m1_filter_0(X3,X4) )
| ~ spl28_458
| ~ spl28_531 ),
inference(resolution,[],[f3770,f3266]) ).
fof(f11734,plain,
( spl28_920
| ~ spl28_458
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3777,f3765,f3265,f11732]) ).
fof(f11732,plain,
( spl28_920
<=> ! [X2,X1,X3] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X2,a_1_1_lopclset(X1)) = sK14(sK15(X2,a_1_1_lopclset(X1)),X1)
| a_1_1_lopclset(X1) = X2
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| m1_subset_1(sK15(X2,a_1_1_lopclset(X1)),u1_struct_0(X3))
| ~ m1_filter_0(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_920])]) ).
fof(f3777,plain,
( ! [X2,X3,X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK15(X2,a_1_1_lopclset(X1)) = sK14(sK15(X2,a_1_1_lopclset(X1)),X1)
| a_1_1_lopclset(X1) = X2
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| m1_subset_1(sK15(X2,a_1_1_lopclset(X1)),u1_struct_0(X3))
| ~ m1_filter_0(X2,X3) )
| ~ spl28_458
| ~ spl28_530 ),
inference(resolution,[],[f3766,f3266]) ).
fof(f11702,plain,
( spl28_919
| ~ spl28_417
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3804,f3769,f2967,f11700]) ).
fof(f11700,plain,
( spl28_919
<=> ! [X34,X33] :
( ~ l3_lattices(X33)
| v3_realset2(X33)
| ~ v17_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33)
| sK15(a_1_1_lopclset(X33),sK11(X34)) = sK14(sK15(a_1_1_lopclset(X33),sK11(X34)),X33)
| a_1_1_lopclset(X33) = sK11(X34)
| m1_subset_1(sK15(a_1_1_lopclset(X33),sK11(X34)),u1_struct_0(X34))
| ~ l1_struct_0(X34)
| v3_struct_0(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_919])]) ).
fof(f2967,plain,
( spl28_417
<=> ! [X11,X12] :
( m1_subset_1(X11,u1_struct_0(X12))
| ~ r2_hidden(X11,sK11(X12))
| ~ l1_struct_0(X12)
| v3_struct_0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_417])]) ).
fof(f3804,plain,
( ! [X34,X33] :
( ~ l3_lattices(X33)
| v3_realset2(X33)
| ~ v17_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33)
| sK15(a_1_1_lopclset(X33),sK11(X34)) = sK14(sK15(a_1_1_lopclset(X33),sK11(X34)),X33)
| a_1_1_lopclset(X33) = sK11(X34)
| m1_subset_1(sK15(a_1_1_lopclset(X33),sK11(X34)),u1_struct_0(X34))
| ~ l1_struct_0(X34)
| v3_struct_0(X34) )
| ~ spl28_417
| ~ spl28_531 ),
inference(resolution,[],[f3770,f2968]) ).
fof(f2968,plain,
( ! [X11,X12] :
( ~ r2_hidden(X11,sK11(X12))
| m1_subset_1(X11,u1_struct_0(X12))
| ~ l1_struct_0(X12)
| v3_struct_0(X12) )
| ~ spl28_417 ),
inference(avatar_component_clause,[],[f2967]) ).
fof(f11698,plain,
( spl28_918
| ~ spl28_417
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3788,f3765,f2967,f11696]) ).
fof(f11696,plain,
( spl28_918
<=> ! [X32,X33] :
( ~ l3_lattices(X32)
| v3_realset2(X32)
| ~ v17_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| sK15(sK11(X33),a_1_1_lopclset(X32)) = sK14(sK15(sK11(X33),a_1_1_lopclset(X32)),X32)
| sK11(X33) = a_1_1_lopclset(X32)
| m1_subset_1(sK15(sK11(X33),a_1_1_lopclset(X32)),u1_struct_0(X33))
| ~ l1_struct_0(X33)
| v3_struct_0(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_918])]) ).
fof(f3788,plain,
( ! [X32,X33] :
( ~ l3_lattices(X32)
| v3_realset2(X32)
| ~ v17_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| sK15(sK11(X33),a_1_1_lopclset(X32)) = sK14(sK15(sK11(X33),a_1_1_lopclset(X32)),X32)
| sK11(X33) = a_1_1_lopclset(X32)
| m1_subset_1(sK15(sK11(X33),a_1_1_lopclset(X32)),u1_struct_0(X33))
| ~ l1_struct_0(X33)
| v3_struct_0(X33) )
| ~ spl28_417
| ~ spl28_530 ),
inference(resolution,[],[f3766,f2968]) ).
fof(f11636,plain,
( spl28_917
| ~ spl28_95
| ~ spl28_908 ),
inference(avatar_split_clause,[],[f11583,f11306,f876,f11633]) ).
fof(f11633,plain,
( spl28_917
<=> v1_finset_1(sK13(a_1_1_lopclset(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_917])]) ).
fof(f11583,plain,
( v1_finset_1(sK13(a_1_1_lopclset(sK6)))
| ~ spl28_95
| ~ spl28_908 ),
inference(resolution,[],[f11308,f877]) ).
fof(f11629,plain,
( spl28_916
| ~ spl28_348
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3805,f3769,f2463,f11627]) ).
fof(f11627,plain,
( spl28_916
<=> ! [X36,X35] :
( ~ l3_lattices(X35)
| v3_realset2(X35)
| ~ v17_lattices(X35)
| ~ v10_lattices(X35)
| v3_struct_0(X35)
| sK15(a_1_1_lopclset(X35),sK13(k1_zfmisc_1(X36))) = sK14(sK15(a_1_1_lopclset(X35),sK13(k1_zfmisc_1(X36))),X35)
| a_1_1_lopclset(X35) = sK13(k1_zfmisc_1(X36))
| m1_subset_1(sK15(a_1_1_lopclset(X35),sK13(k1_zfmisc_1(X36))),X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_916])]) ).
fof(f2463,plain,
( spl28_348
<=> ! [X13,X14] :
( m1_subset_1(X13,X14)
| ~ r2_hidden(X13,sK13(k1_zfmisc_1(X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_348])]) ).
fof(f3805,plain,
( ! [X36,X35] :
( ~ l3_lattices(X35)
| v3_realset2(X35)
| ~ v17_lattices(X35)
| ~ v10_lattices(X35)
| v3_struct_0(X35)
| sK15(a_1_1_lopclset(X35),sK13(k1_zfmisc_1(X36))) = sK14(sK15(a_1_1_lopclset(X35),sK13(k1_zfmisc_1(X36))),X35)
| a_1_1_lopclset(X35) = sK13(k1_zfmisc_1(X36))
| m1_subset_1(sK15(a_1_1_lopclset(X35),sK13(k1_zfmisc_1(X36))),X36) )
| ~ spl28_348
| ~ spl28_531 ),
inference(resolution,[],[f3770,f2464]) ).
fof(f2464,plain,
( ! [X14,X13] :
( ~ r2_hidden(X13,sK13(k1_zfmisc_1(X14)))
| m1_subset_1(X13,X14) )
| ~ spl28_348 ),
inference(avatar_component_clause,[],[f2463]) ).
fof(f11625,plain,
( spl28_915
| ~ spl28_348
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3789,f3765,f2463,f11623]) ).
fof(f11623,plain,
( spl28_915
<=> ! [X34,X35] :
( ~ l3_lattices(X34)
| v3_realset2(X34)
| ~ v17_lattices(X34)
| ~ v10_lattices(X34)
| v3_struct_0(X34)
| sK15(sK13(k1_zfmisc_1(X35)),a_1_1_lopclset(X34)) = sK14(sK15(sK13(k1_zfmisc_1(X35)),a_1_1_lopclset(X34)),X34)
| sK13(k1_zfmisc_1(X35)) = a_1_1_lopclset(X34)
| m1_subset_1(sK15(sK13(k1_zfmisc_1(X35)),a_1_1_lopclset(X34)),X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_915])]) ).
fof(f3789,plain,
( ! [X34,X35] :
( ~ l3_lattices(X34)
| v3_realset2(X34)
| ~ v17_lattices(X34)
| ~ v10_lattices(X34)
| v3_struct_0(X34)
| sK15(sK13(k1_zfmisc_1(X35)),a_1_1_lopclset(X34)) = sK14(sK15(sK13(k1_zfmisc_1(X35)),a_1_1_lopclset(X34)),X34)
| sK13(k1_zfmisc_1(X35)) = a_1_1_lopclset(X34)
| m1_subset_1(sK15(sK13(k1_zfmisc_1(X35)),a_1_1_lopclset(X34)),X35) )
| ~ spl28_348
| ~ spl28_530 ),
inference(resolution,[],[f3766,f2464]) ).
fof(f11621,plain,
( spl28_914
| ~ spl28_205
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3272,f3265,f1678,f11619]) ).
fof(f11619,plain,
( spl28_914
<=> ! [X0,X3,X2,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X2),X3),X0)
| ~ r2_hidden(X3,X1)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_914])]) ).
fof(f3272,plain,
( ! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_filter_0(k1_funct_1(k8_lopclset(X2),X3),X0)
| ~ r2_hidden(X3,X1)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) )
| ~ spl28_205
| ~ spl28_458 ),
inference(resolution,[],[f3266,f1679]) ).
fof(f11609,plain,
( spl28_913
| ~ spl28_203
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2849,f2744,f1666,f11607]) ).
fof(f11607,plain,
( spl28_913
<=> ! [X13,X14,X15] :
( k1_funct_1(k8_lopclset(X14),X15) = X13
| ~ v1_xboole_0(X13)
| v1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_subset_1(X15,u1_struct_0(X14))
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_913])]) ).
fof(f2849,plain,
( ! [X14,X15,X13] :
( k1_funct_1(k8_lopclset(X14),X15) = X13
| ~ v1_xboole_0(X13)
| v1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_filter_0(sK15(X13,k1_funct_1(k8_lopclset(X14),X15)),X14)
| ~ m1_subset_1(X15,u1_struct_0(X14))
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14) )
| ~ spl28_203
| ~ spl28_389 ),
inference(resolution,[],[f2745,f1667]) ).
fof(f11605,plain,
( spl28_912
| ~ spl28_204
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2848,f2744,f1670,f11603]) ).
fof(f11603,plain,
( spl28_912
<=> ! [X11,X12,X10] :
( k1_funct_1(k8_lopclset(X11),X12) = X10
| ~ v1_xboole_0(X10)
| r2_hidden(X12,sK15(X10,k1_funct_1(k8_lopclset(X11),X12)))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k8_lopclset(X11),X12)),X11)
| ~ m1_subset_1(X12,u1_struct_0(X11))
| ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_912])]) ).
fof(f2848,plain,
( ! [X10,X11,X12] :
( k1_funct_1(k8_lopclset(X11),X12) = X10
| ~ v1_xboole_0(X10)
| r2_hidden(X12,sK15(X10,k1_funct_1(k8_lopclset(X11),X12)))
| ~ m1_filter_0(sK15(X10,k1_funct_1(k8_lopclset(X11),X12)),X11)
| ~ m1_subset_1(X12,u1_struct_0(X11))
| ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11) )
| ~ spl28_204
| ~ spl28_389 ),
inference(resolution,[],[f2745,f1671]) ).
fof(f11582,plain,
( spl28_911
| ~ spl28_203
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2837,f2740,f1666,f11580]) ).
fof(f11580,plain,
( spl28_911
<=> ! [X13,X12,X14] :
( k1_funct_1(k8_lopclset(X12),X13) = X14
| ~ v1_xboole_0(X14)
| v1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_subset_1(X13,u1_struct_0(X12))
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_911])]) ).
fof(f2837,plain,
( ! [X14,X12,X13] :
( k1_funct_1(k8_lopclset(X12),X13) = X14
| ~ v1_xboole_0(X14)
| v1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X12),X13),X14),X12)
| ~ m1_subset_1(X13,u1_struct_0(X12))
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12) )
| ~ spl28_203
| ~ spl28_388 ),
inference(resolution,[],[f2741,f1667]) ).
fof(f11578,plain,
( spl28_910
| ~ spl28_204
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2836,f2740,f1670,f11576]) ).
fof(f11576,plain,
( spl28_910
<=> ! [X9,X11,X10] :
( k1_funct_1(k8_lopclset(X9),X10) = X11
| ~ v1_xboole_0(X11)
| r2_hidden(X10,sK15(k1_funct_1(k8_lopclset(X9),X10),X11))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X9),X10),X11),X9)
| ~ m1_subset_1(X10,u1_struct_0(X9))
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_910])]) ).
fof(f2836,plain,
( ! [X10,X11,X9] :
( k1_funct_1(k8_lopclset(X9),X10) = X11
| ~ v1_xboole_0(X11)
| r2_hidden(X10,sK15(k1_funct_1(k8_lopclset(X9),X10),X11))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X9),X10),X11),X9)
| ~ m1_subset_1(X10,u1_struct_0(X9))
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) )
| ~ spl28_204
| ~ spl28_388 ),
inference(resolution,[],[f2741,f1671]) ).
fof(f11313,plain,
( spl28_908
| spl28_909
| ~ spl28_266
| ~ spl28_792 ),
inference(avatar_split_clause,[],[f9175,f9131,f2013,f11310,f11306]) ).
fof(f9131,plain,
( spl28_792
<=> ! [X1] :
( ~ r2_hidden(X1,sK13(a_1_1_lopclset(sK6)))
| m1_subset_1(X1,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_792])]) ).
fof(f9175,plain,
( m1_subset_1(sK13(sK13(a_1_1_lopclset(sK6))),u1_struct_0(sK6))
| v1_xboole_0(sK13(a_1_1_lopclset(sK6)))
| ~ spl28_266
| ~ spl28_792 ),
inference(resolution,[],[f9132,f2014]) ).
fof(f9132,plain,
( ! [X1] :
( ~ r2_hidden(X1,sK13(a_1_1_lopclset(sK6)))
| m1_subset_1(X1,u1_struct_0(sK6)) )
| ~ spl28_792 ),
inference(avatar_component_clause,[],[f9131]) ).
fof(f11225,plain,
( spl28_907
| ~ spl28_357
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3803,f3769,f2553,f11223]) ).
fof(f11223,plain,
( spl28_907
<=> ! [X32,X31] :
( ~ l3_lattices(X31)
| v3_realset2(X31)
| ~ v17_lattices(X31)
| ~ v10_lattices(X31)
| v3_struct_0(X31)
| sK15(a_1_1_lopclset(X31),sK10(X32)) = sK14(sK15(a_1_1_lopclset(X31),sK10(X32)),X31)
| a_1_1_lopclset(X31) = sK10(X32)
| m1_subset_1(sK15(a_1_1_lopclset(X31),sK10(X32)),X32)
| v1_xboole_0(X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_907])]) ).
fof(f2553,plain,
( spl28_357
<=> ! [X9,X10] :
( m1_subset_1(X9,X10)
| ~ r2_hidden(X9,sK10(X10))
| v1_xboole_0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_357])]) ).
fof(f3803,plain,
( ! [X31,X32] :
( ~ l3_lattices(X31)
| v3_realset2(X31)
| ~ v17_lattices(X31)
| ~ v10_lattices(X31)
| v3_struct_0(X31)
| sK15(a_1_1_lopclset(X31),sK10(X32)) = sK14(sK15(a_1_1_lopclset(X31),sK10(X32)),X31)
| a_1_1_lopclset(X31) = sK10(X32)
| m1_subset_1(sK15(a_1_1_lopclset(X31),sK10(X32)),X32)
| v1_xboole_0(X32) )
| ~ spl28_357
| ~ spl28_531 ),
inference(resolution,[],[f3770,f2554]) ).
fof(f2554,plain,
( ! [X10,X9] :
( ~ r2_hidden(X9,sK10(X10))
| m1_subset_1(X9,X10)
| v1_xboole_0(X10) )
| ~ spl28_357 ),
inference(avatar_component_clause,[],[f2553]) ).
fof(f11221,plain,
( spl28_906
| ~ spl28_356
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3802,f3769,f2549,f11219]) ).
fof(f11219,plain,
( spl28_906
<=> ! [X29,X30] :
( ~ l3_lattices(X29)
| v3_realset2(X29)
| ~ v17_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| sK15(a_1_1_lopclset(X29),sK9(X30)) = sK14(sK15(a_1_1_lopclset(X29),sK9(X30)),X29)
| a_1_1_lopclset(X29) = sK9(X30)
| m1_subset_1(sK15(a_1_1_lopclset(X29),sK9(X30)),X30)
| v1_xboole_0(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_906])]) ).
fof(f2549,plain,
( spl28_356
<=> ! [X8,X7] :
( m1_subset_1(X7,X8)
| ~ r2_hidden(X7,sK9(X8))
| v1_xboole_0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_356])]) ).
fof(f3802,plain,
( ! [X29,X30] :
( ~ l3_lattices(X29)
| v3_realset2(X29)
| ~ v17_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| sK15(a_1_1_lopclset(X29),sK9(X30)) = sK14(sK15(a_1_1_lopclset(X29),sK9(X30)),X29)
| a_1_1_lopclset(X29) = sK9(X30)
| m1_subset_1(sK15(a_1_1_lopclset(X29),sK9(X30)),X30)
| v1_xboole_0(X30) )
| ~ spl28_356
| ~ spl28_531 ),
inference(resolution,[],[f3770,f2550]) ).
fof(f2550,plain,
( ! [X8,X7] :
( ~ r2_hidden(X7,sK9(X8))
| m1_subset_1(X7,X8)
| v1_xboole_0(X8) )
| ~ spl28_356 ),
inference(avatar_component_clause,[],[f2549]) ).
fof(f11217,plain,
( spl28_905
| ~ spl28_357
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3787,f3765,f2553,f11215]) ).
fof(f11215,plain,
( spl28_905
<=> ! [X30,X31] :
( ~ l3_lattices(X30)
| v3_realset2(X30)
| ~ v17_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| sK15(sK10(X31),a_1_1_lopclset(X30)) = sK14(sK15(sK10(X31),a_1_1_lopclset(X30)),X30)
| sK10(X31) = a_1_1_lopclset(X30)
| m1_subset_1(sK15(sK10(X31),a_1_1_lopclset(X30)),X31)
| v1_xboole_0(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_905])]) ).
fof(f3787,plain,
( ! [X31,X30] :
( ~ l3_lattices(X30)
| v3_realset2(X30)
| ~ v17_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| sK15(sK10(X31),a_1_1_lopclset(X30)) = sK14(sK15(sK10(X31),a_1_1_lopclset(X30)),X30)
| sK10(X31) = a_1_1_lopclset(X30)
| m1_subset_1(sK15(sK10(X31),a_1_1_lopclset(X30)),X31)
| v1_xboole_0(X31) )
| ~ spl28_357
| ~ spl28_530 ),
inference(resolution,[],[f3766,f2554]) ).
fof(f11213,plain,
( spl28_904
| ~ spl28_356
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3786,f3765,f2549,f11211]) ).
fof(f11211,plain,
( spl28_904
<=> ! [X29,X28] :
( ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| sK15(sK9(X29),a_1_1_lopclset(X28)) = sK14(sK15(sK9(X29),a_1_1_lopclset(X28)),X28)
| sK9(X29) = a_1_1_lopclset(X28)
| m1_subset_1(sK15(sK9(X29),a_1_1_lopclset(X28)),X29)
| v1_xboole_0(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_904])]) ).
fof(f3786,plain,
( ! [X28,X29] :
( ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| sK15(sK9(X29),a_1_1_lopclset(X28)) = sK14(sK15(sK9(X29),a_1_1_lopclset(X28)),X28)
| sK9(X29) = a_1_1_lopclset(X28)
| m1_subset_1(sK15(sK9(X29),a_1_1_lopclset(X28)),X29)
| v1_xboole_0(X29) )
| ~ spl28_356
| ~ spl28_530 ),
inference(resolution,[],[f3766,f2550]) ).
fof(f11209,plain,
( spl28_903
| ~ spl28_388
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3718,f3701,f2740,f11207]) ).
fof(f11207,plain,
( spl28_903
<=> ! [X35,X34,X31,X33,X32] :
( ~ m1_relset_1(X31,X32,k1_zfmisc_1(X33))
| ~ v1_funct_2(X31,X32,k1_zfmisc_1(X33))
| ~ v1_funct_1(X31)
| v1_xboole_0(X32)
| m1_subset_1(sK15(k8_funct_2(X32,k1_zfmisc_1(X33),X31,X34),X35),X33)
| ~ m1_subset_1(X34,X32)
| k8_funct_2(X32,k1_zfmisc_1(X33),X31,X34) = X35
| ~ v1_xboole_0(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_903])]) ).
fof(f3718,plain,
( ! [X31,X34,X35,X32,X33] :
( ~ m1_relset_1(X31,X32,k1_zfmisc_1(X33))
| ~ v1_funct_2(X31,X32,k1_zfmisc_1(X33))
| ~ v1_funct_1(X31)
| v1_xboole_0(X32)
| m1_subset_1(sK15(k8_funct_2(X32,k1_zfmisc_1(X33),X31,X34),X35),X33)
| ~ m1_subset_1(X34,X32)
| k8_funct_2(X32,k1_zfmisc_1(X33),X31,X34) = X35
| ~ v1_xboole_0(X35) )
| ~ spl28_388
| ~ spl28_522 ),
inference(resolution,[],[f3702,f2741]) ).
fof(f11205,plain,
( spl28_902
| ~ spl28_389
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3715,f3701,f2744,f11203]) ).
fof(f11203,plain,
( spl28_902
<=> ! [X18,X20,X16,X17,X19] :
( ~ m1_relset_1(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| m1_subset_1(sK15(X19,k8_funct_2(X17,k1_zfmisc_1(X18),X16,X20)),X18)
| ~ m1_subset_1(X20,X17)
| k8_funct_2(X17,k1_zfmisc_1(X18),X16,X20) = X19
| ~ v1_xboole_0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_902])]) ).
fof(f3715,plain,
( ! [X18,X19,X16,X17,X20] :
( ~ m1_relset_1(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| m1_subset_1(sK15(X19,k8_funct_2(X17,k1_zfmisc_1(X18),X16,X20)),X18)
| ~ m1_subset_1(X20,X17)
| k8_funct_2(X17,k1_zfmisc_1(X18),X16,X20) = X19
| ~ v1_xboole_0(X19) )
| ~ spl28_389
| ~ spl28_522 ),
inference(resolution,[],[f3702,f2745]) ).
fof(f11201,plain,
( spl28_901
| ~ spl28_183
| ~ spl28_521 ),
inference(avatar_split_clause,[],[f3699,f3689,f1473,f11199]) ).
fof(f11199,plain,
( spl28_901
<=> ! [X38,X40,X36,X39,X37] :
( ~ m1_relset_1(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_2(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_1(X36)
| v1_xboole_0(X37)
| ~ v1_xboole_0(X38)
| ~ m1_subset_1(X39,X37)
| r2_hidden(sK15(k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39),X40),X40)
| k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39) = X40 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_901])]) ).
fof(f3699,plain,
( ! [X40,X38,X39,X36,X37] :
( ~ m1_relset_1(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_2(X36,X37,k1_zfmisc_1(X38))
| ~ v1_funct_1(X36)
| v1_xboole_0(X37)
| ~ v1_xboole_0(X38)
| ~ m1_subset_1(X39,X37)
| r2_hidden(sK15(k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39),X40),X40)
| k8_funct_2(X37,k1_zfmisc_1(X38),X36,X39) = X40 )
| ~ spl28_183
| ~ spl28_521 ),
inference(resolution,[],[f3690,f1474]) ).
fof(f11197,plain,
( spl28_900
| ~ spl28_419
| ~ spl28_521 ),
inference(avatar_split_clause,[],[f3697,f3689,f2985,f11195]) ).
fof(f11195,plain,
( spl28_900
<=> ! [X30,X29,X27,X28,X26] :
( ~ m1_relset_1(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_2(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_1(X26)
| v1_xboole_0(X27)
| ~ v1_xboole_0(X28)
| ~ m1_subset_1(X29,X27)
| m1_subset_1(sK15(k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29),X30),X30)
| k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29) = X30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_900])]) ).
fof(f3697,plain,
( ! [X28,X29,X26,X27,X30] :
( ~ m1_relset_1(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_2(X26,X27,k1_zfmisc_1(X28))
| ~ v1_funct_1(X26)
| v1_xboole_0(X27)
| ~ v1_xboole_0(X28)
| ~ m1_subset_1(X29,X27)
| m1_subset_1(sK15(k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29),X30),X30)
| k8_funct_2(X27,k1_zfmisc_1(X28),X26,X29) = X30 )
| ~ spl28_419
| ~ spl28_521 ),
inference(resolution,[],[f3690,f2986]) ).
fof(f11120,plain,
( spl28_899
| ~ spl28_183
| ~ spl28_521 ),
inference(avatar_split_clause,[],[f3696,f3689,f1473,f11118]) ).
fof(f11118,plain,
( spl28_899
<=> ! [X24,X21,X23,X25,X22] :
( ~ m1_relset_1(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_2(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_1(X21)
| v1_xboole_0(X22)
| ~ v1_xboole_0(X23)
| ~ m1_subset_1(X24,X22)
| r2_hidden(sK15(X25,k8_funct_2(X22,k1_zfmisc_1(X23),X21,X24)),X25)
| k8_funct_2(X22,k1_zfmisc_1(X23),X21,X24) = X25 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_899])]) ).
fof(f3696,plain,
( ! [X21,X24,X22,X25,X23] :
( ~ m1_relset_1(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_2(X21,X22,k1_zfmisc_1(X23))
| ~ v1_funct_1(X21)
| v1_xboole_0(X22)
| ~ v1_xboole_0(X23)
| ~ m1_subset_1(X24,X22)
| r2_hidden(sK15(X25,k8_funct_2(X22,k1_zfmisc_1(X23),X21,X24)),X25)
| k8_funct_2(X22,k1_zfmisc_1(X23),X21,X24) = X25 )
| ~ spl28_183
| ~ spl28_521 ),
inference(resolution,[],[f3690,f1474]) ).
fof(f11116,plain,
( spl28_898
| ~ spl28_421
| ~ spl28_521 ),
inference(avatar_split_clause,[],[f3694,f3689,f2993,f11114]) ).
fof(f11114,plain,
( spl28_898
<=> ! [X11,X13,X14,X12,X15] :
( ~ m1_relset_1(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_2(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_1(X11)
| v1_xboole_0(X12)
| ~ v1_xboole_0(X13)
| ~ m1_subset_1(X14,X12)
| m1_subset_1(sK15(X15,k8_funct_2(X12,k1_zfmisc_1(X13),X11,X14)),X15)
| k8_funct_2(X12,k1_zfmisc_1(X13),X11,X14) = X15 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_898])]) ).
fof(f3694,plain,
( ! [X11,X14,X15,X12,X13] :
( ~ m1_relset_1(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_2(X11,X12,k1_zfmisc_1(X13))
| ~ v1_funct_1(X11)
| v1_xboole_0(X12)
| ~ v1_xboole_0(X13)
| ~ m1_subset_1(X14,X12)
| m1_subset_1(sK15(X15,k8_funct_2(X12,k1_zfmisc_1(X13),X11,X14)),X15)
| k8_funct_2(X12,k1_zfmisc_1(X13),X11,X14) = X15 )
| ~ spl28_421
| ~ spl28_521 ),
inference(resolution,[],[f3690,f2994]) ).
fof(f11107,plain,
( spl28_897
| ~ spl28_360
| ~ spl28_526 ),
inference(avatar_split_clause,[],[f3746,f3728,f2627,f11105]) ).
fof(f11105,plain,
( spl28_897
<=> ! [X6,X4,X5] :
( ~ v1_filter_0(k1_zfmisc_1(X4),X5)
| ~ m1_filter_0(k1_zfmisc_1(X4),X5)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ l3_lattices(X5)
| v3_realset2(X5)
| ~ v17_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| ~ r2_hidden(X6,k1_zfmisc_1(X4))
| v1_xboole_0(k1_zfmisc_1(X4))
| ~ r1_tarski(k1_funct_1(k8_lopclset(X5),X6),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_897])]) ).
fof(f3746,plain,
( ! [X6,X4,X5] :
( ~ v1_filter_0(k1_zfmisc_1(X4),X5)
| ~ m1_filter_0(k1_zfmisc_1(X4),X5)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| ~ l3_lattices(X5)
| v3_realset2(X5)
| ~ v17_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| ~ r2_hidden(X6,k1_zfmisc_1(X4))
| v1_xboole_0(k1_zfmisc_1(X4))
| ~ r1_tarski(k1_funct_1(k8_lopclset(X5),X6),X4) )
| ~ spl28_360
| ~ spl28_526 ),
inference(resolution,[],[f3729,f2628]) ).
fof(f10988,plain,
( spl28_896
| ~ spl28_488
| ~ spl28_533 ),
inference(avatar_split_clause,[],[f3823,f3817,f3452,f10986]) ).
fof(f3452,plain,
( spl28_488
<=> ! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_488])]) ).
fof(f3817,plain,
( spl28_533
<=> ! [X4,X3] :
( ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_relset_1(k9_lopclset(X4),u1_struct_0(X4),k1_zfmisc_1(k7_lopclset(X4)))
| k8_funct_2(u1_struct_0(X4),k1_zfmisc_1(k7_lopclset(X4)),k9_lopclset(X4),X3) = k1_funct_1(k9_lopclset(X4),X3)
| ~ v1_funct_1(k9_lopclset(X4))
| v1_xboole_0(u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_533])]) ).
fof(f3823,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0) = k1_funct_1(k9_lopclset(X1),X0)
| ~ v1_funct_1(k9_lopclset(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_488
| ~ spl28_533 ),
inference(duplicate_literal_removal,[],[f3820]) ).
fof(f3820,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X0) = k1_funct_1(k9_lopclset(X1),X0)
| ~ v1_funct_1(k9_lopclset(X1))
| v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1) )
| ~ spl28_488
| ~ spl28_533 ),
inference(resolution,[],[f3818,f3453]) ).
fof(f3453,plain,
( ! [X0] :
( m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl28_488 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f3818,plain,
( ! [X3,X4] :
( ~ m1_relset_1(k9_lopclset(X4),u1_struct_0(X4),k1_zfmisc_1(k7_lopclset(X4)))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| k8_funct_2(u1_struct_0(X4),k1_zfmisc_1(k7_lopclset(X4)),k9_lopclset(X4),X3) = k1_funct_1(k9_lopclset(X4),X3)
| ~ v1_funct_1(k9_lopclset(X4))
| v1_xboole_0(u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4) )
| ~ spl28_533 ),
inference(avatar_component_clause,[],[f3817]) ).
fof(f10984,plain,
( spl28_895
| ~ spl28_458
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3582,f3579,f3265,f10982]) ).
fof(f10982,plain,
( spl28_895
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,X1)
| ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),u1_struct_0(X4))
| ~ m1_filter_0(X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_895])]) ).
fof(f3582,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X3,X1)
| ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(k8_funct_2(X1,X2,X0,X3),u1_struct_0(X4))
| ~ m1_filter_0(X2,X4) )
| ~ spl28_458
| ~ spl28_506 ),
inference(resolution,[],[f3580,f3266]) ).
fof(f10972,plain,
( spl28_894
| ~ spl28_176
| ~ spl28_741 ),
inference(avatar_split_clause,[],[f6959,f6889,f1380,f10970]) ).
fof(f10970,plain,
( spl28_894
<=> ! [X16,X15] :
( ~ r2_hidden(X15,a_1_1_lopclset(sK6))
| m1_subset_1(X16,u1_struct_0(sK6))
| ~ r2_hidden(X16,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_894])]) ).
fof(f1380,plain,
( spl28_176
<=> ! [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,[spl28_176])]) ).
fof(f6959,plain,
( ! [X16,X15] :
( ~ r2_hidden(X15,a_1_1_lopclset(sK6))
| m1_subset_1(X16,u1_struct_0(sK6))
| ~ r2_hidden(X16,X15) )
| ~ spl28_176
| ~ spl28_741 ),
inference(resolution,[],[f6890,f1381]) ).
fof(f1381,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl28_176 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f10924,plain,
( spl28_893
| ~ spl28_312
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3806,f3769,f2230,f10922]) ).
fof(f10922,plain,
( spl28_893
<=> ! [X38,X37] :
( ~ l3_lattices(X37)
| v3_realset2(X37)
| ~ v17_lattices(X37)
| ~ v10_lattices(X37)
| v3_struct_0(X37)
| sK15(a_1_1_lopclset(X37),sK13(k1_zfmisc_1(X38))) = sK14(sK15(a_1_1_lopclset(X37),sK13(k1_zfmisc_1(X38))),X37)
| a_1_1_lopclset(X37) = sK13(k1_zfmisc_1(X38))
| ~ v1_xboole_0(X38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_893])]) ).
fof(f2230,plain,
( spl28_312
<=> ! [X7,X8] :
( ~ v1_xboole_0(X7)
| ~ r2_hidden(X8,sK13(k1_zfmisc_1(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_312])]) ).
fof(f3806,plain,
( ! [X38,X37] :
( ~ l3_lattices(X37)
| v3_realset2(X37)
| ~ v17_lattices(X37)
| ~ v10_lattices(X37)
| v3_struct_0(X37)
| sK15(a_1_1_lopclset(X37),sK13(k1_zfmisc_1(X38))) = sK14(sK15(a_1_1_lopclset(X37),sK13(k1_zfmisc_1(X38))),X37)
| a_1_1_lopclset(X37) = sK13(k1_zfmisc_1(X38))
| ~ v1_xboole_0(X38) )
| ~ spl28_312
| ~ spl28_531 ),
inference(resolution,[],[f3770,f2231]) ).
fof(f2231,plain,
( ! [X8,X7] :
( ~ r2_hidden(X8,sK13(k1_zfmisc_1(X7)))
| ~ v1_xboole_0(X7) )
| ~ spl28_312 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f10920,plain,
( spl28_892
| ~ spl28_312
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3790,f3765,f2230,f10918]) ).
fof(f10918,plain,
( spl28_892
<=> ! [X36,X37] :
( ~ l3_lattices(X36)
| v3_realset2(X36)
| ~ v17_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36)
| sK15(sK13(k1_zfmisc_1(X37)),a_1_1_lopclset(X36)) = sK14(sK15(sK13(k1_zfmisc_1(X37)),a_1_1_lopclset(X36)),X36)
| sK13(k1_zfmisc_1(X37)) = a_1_1_lopclset(X36)
| ~ v1_xboole_0(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_892])]) ).
fof(f3790,plain,
( ! [X36,X37] :
( ~ l3_lattices(X36)
| v3_realset2(X36)
| ~ v17_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36)
| sK15(sK13(k1_zfmisc_1(X37)),a_1_1_lopclset(X36)) = sK14(sK15(sK13(k1_zfmisc_1(X37)),a_1_1_lopclset(X36)),X36)
| sK13(k1_zfmisc_1(X37)) = a_1_1_lopclset(X36)
| ~ v1_xboole_0(X37) )
| ~ spl28_312
| ~ spl28_530 ),
inference(resolution,[],[f3766,f2231]) ).
fof(f10916,plain,
( spl28_891
| ~ spl28_266
| ~ spl28_522 ),
inference(avatar_split_clause,[],[f3713,f3701,f2013,f10914]) ).
fof(f10914,plain,
( spl28_891
<=> ! [X10,X7,X9,X8] :
( ~ m1_relset_1(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_2(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_1(X7)
| v1_xboole_0(X8)
| m1_subset_1(sK13(k8_funct_2(X8,k1_zfmisc_1(X9),X7,X10)),X9)
| ~ m1_subset_1(X10,X8)
| v1_xboole_0(k8_funct_2(X8,k1_zfmisc_1(X9),X7,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_891])]) ).
fof(f3713,plain,
( ! [X10,X8,X9,X7] :
( ~ m1_relset_1(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_2(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_1(X7)
| v1_xboole_0(X8)
| m1_subset_1(sK13(k8_funct_2(X8,k1_zfmisc_1(X9),X7,X10)),X9)
| ~ m1_subset_1(X10,X8)
| v1_xboole_0(k8_funct_2(X8,k1_zfmisc_1(X9),X7,X10)) )
| ~ spl28_266
| ~ spl28_522 ),
inference(resolution,[],[f3702,f2014]) ).
fof(f10912,plain,
( spl28_890
| ~ spl28_417
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3591,f3579,f2967,f10910]) ).
fof(f10910,plain,
( spl28_890
<=> ! [X41,X40,X42,X39] :
( ~ m1_relset_1(X39,X40,sK11(X41))
| ~ v1_funct_2(X39,X40,sK11(X41))
| ~ v1_funct_1(X39)
| v1_xboole_0(X40)
| v1_xboole_0(sK11(X41))
| ~ m1_subset_1(X42,X40)
| m1_subset_1(k8_funct_2(X40,sK11(X41),X39,X42),u1_struct_0(X41))
| ~ l1_struct_0(X41)
| v3_struct_0(X41) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_890])]) ).
fof(f3591,plain,
( ! [X40,X41,X39,X42] :
( ~ m1_relset_1(X39,X40,sK11(X41))
| ~ v1_funct_2(X39,X40,sK11(X41))
| ~ v1_funct_1(X39)
| v1_xboole_0(X40)
| v1_xboole_0(sK11(X41))
| ~ m1_subset_1(X42,X40)
| m1_subset_1(k8_funct_2(X40,sK11(X41),X39,X42),u1_struct_0(X41))
| ~ l1_struct_0(X41)
| v3_struct_0(X41) )
| ~ spl28_417
| ~ spl28_506 ),
inference(resolution,[],[f3580,f2968]) ).
fof(f10908,plain,
( spl28_889
| ~ spl28_203
| ~ spl28_266 ),
inference(avatar_split_clause,[],[f2066,f2013,f1666,f10906]) ).
fof(f10906,plain,
( spl28_889
<=> ! [X6,X7] :
( v1_xboole_0(k1_funct_1(k8_lopclset(X6),X7))
| v1_filter_0(sK13(k1_funct_1(k8_lopclset(X6),X7)),X6)
| ~ m1_filter_0(sK13(k1_funct_1(k8_lopclset(X6),X7)),X6)
| ~ m1_subset_1(X7,u1_struct_0(X6))
| ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_889])]) ).
fof(f2066,plain,
( ! [X6,X7] :
( v1_xboole_0(k1_funct_1(k8_lopclset(X6),X7))
| v1_filter_0(sK13(k1_funct_1(k8_lopclset(X6),X7)),X6)
| ~ m1_filter_0(sK13(k1_funct_1(k8_lopclset(X6),X7)),X6)
| ~ m1_subset_1(X7,u1_struct_0(X6))
| ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6) )
| ~ spl28_203
| ~ spl28_266 ),
inference(resolution,[],[f2014,f1667]) ).
fof(f10904,plain,
( spl28_888
| ~ spl28_204
| ~ spl28_266 ),
inference(avatar_split_clause,[],[f2065,f2013,f1670,f10902]) ).
fof(f10902,plain,
( spl28_888
<=> ! [X4,X5] :
( v1_xboole_0(k1_funct_1(k8_lopclset(X4),X5))
| r2_hidden(X5,sK13(k1_funct_1(k8_lopclset(X4),X5)))
| ~ m1_filter_0(sK13(k1_funct_1(k8_lopclset(X4),X5)),X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_888])]) ).
fof(f2065,plain,
( ! [X4,X5] :
( v1_xboole_0(k1_funct_1(k8_lopclset(X4),X5))
| r2_hidden(X5,sK13(k1_funct_1(k8_lopclset(X4),X5)))
| ~ m1_filter_0(sK13(k1_funct_1(k8_lopclset(X4),X5)),X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4) )
| ~ spl28_204
| ~ spl28_266 ),
inference(resolution,[],[f2014,f1671]) ).
fof(f10802,plain,
( spl28_887
| ~ spl28_348
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3592,f3579,f2463,f10800]) ).
fof(f10800,plain,
( spl28_887
<=> ! [X44,X43,X46,X45] :
( ~ m1_relset_1(X43,X44,sK13(k1_zfmisc_1(X45)))
| ~ v1_funct_2(X43,X44,sK13(k1_zfmisc_1(X45)))
| ~ v1_funct_1(X43)
| v1_xboole_0(X44)
| v1_xboole_0(sK13(k1_zfmisc_1(X45)))
| ~ m1_subset_1(X46,X44)
| m1_subset_1(k8_funct_2(X44,sK13(k1_zfmisc_1(X45)),X43,X46),X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_887])]) ).
fof(f3592,plain,
( ! [X46,X44,X45,X43] :
( ~ m1_relset_1(X43,X44,sK13(k1_zfmisc_1(X45)))
| ~ v1_funct_2(X43,X44,sK13(k1_zfmisc_1(X45)))
| ~ v1_funct_1(X43)
| v1_xboole_0(X44)
| v1_xboole_0(sK13(k1_zfmisc_1(X45)))
| ~ m1_subset_1(X46,X44)
| m1_subset_1(k8_funct_2(X44,sK13(k1_zfmisc_1(X45)),X43,X46),X45) )
| ~ spl28_348
| ~ spl28_506 ),
inference(resolution,[],[f3580,f2464]) ).
fof(f10798,plain,
( spl28_886
| ~ spl28_458
| ~ spl28_493 ),
inference(avatar_split_clause,[],[f3519,f3516,f3265,f10796]) ).
fof(f10796,plain,
( spl28_886
<=> ! [X0,X1] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(k7_lopclset(X0),u1_struct_0(X1))
| ~ m1_filter_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_886])]) ).
fof(f3516,plain,
( spl28_493
<=> ! [X28] :
( ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X28))))
| r2_hidden(k7_lopclset(X28),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X28)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_493])]) ).
fof(f3519,plain,
( ! [X0,X1] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| m1_subset_1(k7_lopclset(X0),u1_struct_0(X1))
| ~ m1_filter_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))),X1) )
| ~ spl28_458
| ~ spl28_493 ),
inference(resolution,[],[f3517,f3266]) ).
fof(f3517,plain,
( ! [X28] :
( r2_hidden(k7_lopclset(X28),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X28))))
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X28))))
| ~ l3_lattices(X28) )
| ~ spl28_493 ),
inference(avatar_component_clause,[],[f3516]) ).
fof(f10794,plain,
( spl28_885
| ~ spl28_184
| ~ spl28_492 ),
inference(avatar_split_clause,[],[f3513,f3505,f1477,f10792]) ).
fof(f10792,plain,
( spl28_885
<=> ! [X11,X12] :
( ~ v1_filter_0(sK15(X11,a_1_1_lopclset(X12)),X12)
| ~ m1_filter_0(sK15(X11,a_1_1_lopclset(X12)),X12)
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| a_1_1_lopclset(X12) = X11
| ~ r2_hidden(sK15(X11,a_1_1_lopclset(X12)),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_885])]) ).
fof(f1477,plain,
( spl28_184
<=> ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(sK15(X0,X1),X1)
| ~ r2_hidden(sK15(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_184])]) ).
fof(f3513,plain,
( ! [X11,X12] :
( ~ v1_filter_0(sK15(X11,a_1_1_lopclset(X12)),X12)
| ~ m1_filter_0(sK15(X11,a_1_1_lopclset(X12)),X12)
| ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| a_1_1_lopclset(X12) = X11
| ~ r2_hidden(sK15(X11,a_1_1_lopclset(X12)),X11) )
| ~ spl28_184
| ~ spl28_492 ),
inference(resolution,[],[f3506,f1478]) ).
fof(f1478,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK15(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(sK15(X0,X1),X0) )
| ~ spl28_184 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f10734,plain,
( spl28_883
| ~ spl28_884
| ~ spl28_403
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3979,f3961,f2905,f10731,f10728]) ).
fof(f10728,plain,
( spl28_883
<=> ! [X0] : ~ r2_hidden(X0,k9_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_883])]) ).
fof(f10731,plain,
( spl28_884
<=> v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_884])]) ).
fof(f2905,plain,
( spl28_403
<=> ! [X45,X44,X43,X42] :
( ~ m2_relset_1(X42,X43,X44)
| ~ v1_xboole_0(k2_zfmisc_1(X43,X44))
| ~ r2_hidden(X45,X42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_403])]) ).
fof(f3979,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))))
| ~ r2_hidden(X0,k9_lopclset(sK6)) )
| ~ spl28_403
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2906]) ).
fof(f2906,plain,
( ! [X44,X45,X42,X43] :
( ~ m2_relset_1(X42,X43,X44)
| ~ v1_xboole_0(k2_zfmisc_1(X43,X44))
| ~ r2_hidden(X45,X42) )
| ~ spl28_403 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f10726,plain,
( spl28_882
| ~ spl28_117
| ~ spl28_531 ),
inference(avatar_split_clause,[],[f3795,f3769,f991,f10724]) ).
fof(f10724,plain,
( spl28_882
<=> ! [X7,X8] :
( ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| sK15(a_1_1_lopclset(X7),X8) = sK14(sK15(a_1_1_lopclset(X7),X8),X7)
| a_1_1_lopclset(X7) = X8
| ~ r2_hidden(X8,sK15(a_1_1_lopclset(X7),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_882])]) ).
fof(f3795,plain,
( ! [X8,X7] :
( ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| sK15(a_1_1_lopclset(X7),X8) = sK14(sK15(a_1_1_lopclset(X7),X8),X7)
| a_1_1_lopclset(X7) = X8
| ~ r2_hidden(X8,sK15(a_1_1_lopclset(X7),X8)) )
| ~ spl28_117
| ~ spl28_531 ),
inference(resolution,[],[f3770,f992]) ).
fof(f10722,plain,
( spl28_881
| ~ spl28_117
| ~ spl28_530 ),
inference(avatar_split_clause,[],[f3779,f3765,f991,f10720]) ).
fof(f10720,plain,
( spl28_881
<=> ! [X6,X7] :
( ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| sK15(X7,a_1_1_lopclset(X6)) = sK14(sK15(X7,a_1_1_lopclset(X6)),X6)
| a_1_1_lopclset(X6) = X7
| ~ r2_hidden(X7,sK15(X7,a_1_1_lopclset(X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_881])]) ).
fof(f3779,plain,
( ! [X6,X7] :
( ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| sK15(X7,a_1_1_lopclset(X6)) = sK14(sK15(X7,a_1_1_lopclset(X6)),X6)
| a_1_1_lopclset(X6) = X7
| ~ r2_hidden(X7,sK15(X7,a_1_1_lopclset(X6))) )
| ~ spl28_117
| ~ spl28_530 ),
inference(resolution,[],[f3766,f992]) ).
fof(f10718,plain,
( spl28_880
| ~ spl28_198
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3071,f2993,f1611,f10716]) ).
fof(f10716,plain,
( spl28_880
<=> ! [X9,X8] :
( m1_subset_1(sK15(X8,a_1_1_lopclset(X9)),X8)
| a_1_1_lopclset(X9) = X8
| sK15(X8,a_1_1_lopclset(X9)) = sK14(sK15(X8,a_1_1_lopclset(X9)),X9)
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_880])]) ).
fof(f3071,plain,
( ! [X8,X9] :
( m1_subset_1(sK15(X8,a_1_1_lopclset(X9)),X8)
| a_1_1_lopclset(X9) = X8
| sK15(X8,a_1_1_lopclset(X9)) = sK14(sK15(X8,a_1_1_lopclset(X9)),X9)
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) )
| ~ spl28_198
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1612]) ).
fof(f10714,plain,
( spl28_879
| ~ spl28_198
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3031,f2985,f1611,f10712]) ).
fof(f10712,plain,
( spl28_879
<=> ! [X8,X7] :
( m1_subset_1(sK15(a_1_1_lopclset(X7),X8),X8)
| a_1_1_lopclset(X7) = X8
| sK15(a_1_1_lopclset(X7),X8) = sK14(sK15(a_1_1_lopclset(X7),X8),X7)
| ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_879])]) ).
fof(f3031,plain,
( ! [X8,X7] :
( m1_subset_1(sK15(a_1_1_lopclset(X7),X8),X8)
| a_1_1_lopclset(X7) = X8
| sK15(a_1_1_lopclset(X7),X8) = sK14(sK15(a_1_1_lopclset(X7),X8),X7)
| ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7) )
| ~ spl28_198
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1612]) ).
fof(f10630,plain,
( spl28_878
| ~ spl28_138
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3741,f3724,f1080,f10628]) ).
fof(f10628,plain,
( spl28_878
<=> ! [X32,X30,X31] :
( ~ v1_filter_0(X30,X31)
| ~ m1_filter_0(X30,X31)
| ~ m1_subset_1(X32,u1_struct_0(X31))
| ~ l3_lattices(X31)
| v3_realset2(X31)
| ~ v17_lattices(X31)
| ~ v10_lattices(X31)
| v3_struct_0(X31)
| ~ r2_hidden(X32,X30)
| v1_xcmplx_0(X30)
| ~ v1_membered(k1_funct_1(k8_lopclset(X31),X32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_878])]) ).
fof(f1080,plain,
( spl28_138
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_138])]) ).
fof(f3724,plain,
( spl28_525
<=> ! [X6,X7,X8] :
( ~ r2_hidden(X6,X7)
| ~ v1_filter_0(X7,X8)
| ~ m1_filter_0(X7,X8)
| ~ m1_subset_1(X6,u1_struct_0(X8))
| ~ l3_lattices(X8)
| v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| m1_subset_1(X7,k1_funct_1(k8_lopclset(X8),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_525])]) ).
fof(f3741,plain,
( ! [X31,X32,X30] :
( ~ v1_filter_0(X30,X31)
| ~ m1_filter_0(X30,X31)
| ~ m1_subset_1(X32,u1_struct_0(X31))
| ~ l3_lattices(X31)
| v3_realset2(X31)
| ~ v17_lattices(X31)
| ~ v10_lattices(X31)
| v3_struct_0(X31)
| ~ r2_hidden(X32,X30)
| v1_xcmplx_0(X30)
| ~ v1_membered(k1_funct_1(k8_lopclset(X31),X32)) )
| ~ spl28_138
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1081]) ).
fof(f1081,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v1_membered(X0) )
| ~ spl28_138 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f3725,plain,
( ! [X8,X6,X7] :
( m1_subset_1(X7,k1_funct_1(k8_lopclset(X8),X6))
| ~ v1_filter_0(X7,X8)
| ~ m1_filter_0(X7,X8)
| ~ m1_subset_1(X6,u1_struct_0(X8))
| ~ l3_lattices(X8)
| v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| ~ r2_hidden(X6,X7) )
| ~ spl28_525 ),
inference(avatar_component_clause,[],[f3724]) ).
fof(f10626,plain,
( spl28_877
| ~ spl28_137
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3740,f3724,f1076,f10624]) ).
fof(f10624,plain,
( spl28_877
<=> ! [X29,X27,X28] :
( ~ v1_filter_0(X27,X28)
| ~ m1_filter_0(X27,X28)
| ~ m1_subset_1(X29,u1_struct_0(X28))
| ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ r2_hidden(X29,X27)
| v1_xreal_0(X27)
| ~ v2_membered(k1_funct_1(k8_lopclset(X28),X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_877])]) ).
fof(f1076,plain,
( spl28_137
<=> ! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_137])]) ).
fof(f3740,plain,
( ! [X28,X29,X27] :
( ~ v1_filter_0(X27,X28)
| ~ m1_filter_0(X27,X28)
| ~ m1_subset_1(X29,u1_struct_0(X28))
| ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| ~ r2_hidden(X29,X27)
| v1_xreal_0(X27)
| ~ v2_membered(k1_funct_1(k8_lopclset(X28),X29)) )
| ~ spl28_137
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1077]) ).
fof(f1077,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1)
| ~ v2_membered(X0) )
| ~ spl28_137 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f10622,plain,
( ~ spl28_876
| spl28_834
| ~ spl28_387
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3978,f3961,f2736,f9919,f10619]) ).
fof(f10619,plain,
( spl28_876
<=> v1_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_876])]) ).
fof(f9919,plain,
( spl28_834
<=> v1_membered(k9_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_834])]) ).
fof(f2736,plain,
( spl28_387
<=> ! [X41,X40,X39] :
( ~ m2_relset_1(X39,X40,X41)
| v1_membered(X39)
| ~ v1_membered(k2_zfmisc_1(X40,X41)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_387])]) ).
fof(f3978,plain,
( v1_membered(k9_lopclset(sK6))
| ~ v1_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))))
| ~ spl28_387
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2737]) ).
fof(f2737,plain,
( ! [X40,X41,X39] :
( ~ m2_relset_1(X39,X40,X41)
| v1_membered(X39)
| ~ v1_membered(k2_zfmisc_1(X40,X41)) )
| ~ spl28_387 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f10617,plain,
( spl28_875
| ~ spl28_136
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3739,f3724,f1072,f10615]) ).
fof(f10615,plain,
( spl28_875
<=> ! [X25,X24,X26] :
( ~ v1_filter_0(X24,X25)
| ~ m1_filter_0(X24,X25)
| ~ m1_subset_1(X26,u1_struct_0(X25))
| ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| ~ r2_hidden(X26,X24)
| v1_xcmplx_0(X24)
| ~ v2_membered(k1_funct_1(k8_lopclset(X25),X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_875])]) ).
fof(f1072,plain,
( spl28_136
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_136])]) ).
fof(f3739,plain,
( ! [X26,X24,X25] :
( ~ v1_filter_0(X24,X25)
| ~ m1_filter_0(X24,X25)
| ~ m1_subset_1(X26,u1_struct_0(X25))
| ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| ~ r2_hidden(X26,X24)
| v1_xcmplx_0(X24)
| ~ v2_membered(k1_funct_1(k8_lopclset(X25),X26)) )
| ~ spl28_136
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1073]) ).
fof(f1073,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v2_membered(X0) )
| ~ spl28_136 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f10613,plain,
( spl28_874
| ~ spl28_135
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3738,f3724,f1068,f10611]) ).
fof(f10611,plain,
( spl28_874
<=> ! [X22,X21,X23] :
( ~ v1_filter_0(X21,X22)
| ~ m1_filter_0(X21,X22)
| ~ m1_subset_1(X23,u1_struct_0(X22))
| ~ l3_lattices(X22)
| v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| ~ r2_hidden(X23,X21)
| v1_rat_1(X21)
| ~ v3_membered(k1_funct_1(k8_lopclset(X22),X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_874])]) ).
fof(f1068,plain,
( spl28_135
<=> ! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_135])]) ).
fof(f3738,plain,
( ! [X21,X22,X23] :
( ~ v1_filter_0(X21,X22)
| ~ m1_filter_0(X21,X22)
| ~ m1_subset_1(X23,u1_struct_0(X22))
| ~ l3_lattices(X22)
| v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| ~ r2_hidden(X23,X21)
| v1_rat_1(X21)
| ~ v3_membered(k1_funct_1(k8_lopclset(X22),X23)) )
| ~ spl28_135
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1069]) ).
fof(f1069,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_rat_1(X1)
| ~ v3_membered(X0) )
| ~ spl28_135 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f10609,plain,
( spl28_873
| ~ spl28_134
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3737,f3724,f1064,f10607]) ).
fof(f10607,plain,
( spl28_873
<=> ! [X20,X18,X19] :
( ~ v1_filter_0(X18,X19)
| ~ m1_filter_0(X18,X19)
| ~ m1_subset_1(X20,u1_struct_0(X19))
| ~ l3_lattices(X19)
| v3_realset2(X19)
| ~ v17_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ r2_hidden(X20,X18)
| v1_xreal_0(X18)
| ~ v3_membered(k1_funct_1(k8_lopclset(X19),X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_873])]) ).
fof(f1064,plain,
( spl28_134
<=> ! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_134])]) ).
fof(f3737,plain,
( ! [X18,X19,X20] :
( ~ v1_filter_0(X18,X19)
| ~ m1_filter_0(X18,X19)
| ~ m1_subset_1(X20,u1_struct_0(X19))
| ~ l3_lattices(X19)
| v3_realset2(X19)
| ~ v17_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| ~ r2_hidden(X20,X18)
| v1_xreal_0(X18)
| ~ v3_membered(k1_funct_1(k8_lopclset(X19),X20)) )
| ~ spl28_134
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1065]) ).
fof(f1065,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1)
| ~ v3_membered(X0) )
| ~ spl28_134 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f10605,plain,
( spl28_872
| ~ spl28_133
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3736,f3724,f1060,f10603]) ).
fof(f10603,plain,
( spl28_872
<=> ! [X16,X17,X15] :
( ~ v1_filter_0(X15,X16)
| ~ m1_filter_0(X15,X16)
| ~ m1_subset_1(X17,u1_struct_0(X16))
| ~ l3_lattices(X16)
| v3_realset2(X16)
| ~ v17_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| ~ r2_hidden(X17,X15)
| v1_xcmplx_0(X15)
| ~ v3_membered(k1_funct_1(k8_lopclset(X16),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_872])]) ).
fof(f1060,plain,
( spl28_133
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_133])]) ).
fof(f3736,plain,
( ! [X16,X17,X15] :
( ~ v1_filter_0(X15,X16)
| ~ m1_filter_0(X15,X16)
| ~ m1_subset_1(X17,u1_struct_0(X16))
| ~ l3_lattices(X16)
| v3_realset2(X16)
| ~ v17_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| ~ r2_hidden(X17,X15)
| v1_xcmplx_0(X15)
| ~ v3_membered(k1_funct_1(k8_lopclset(X16),X17)) )
| ~ spl28_133
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1061]) ).
fof(f1061,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v3_membered(X0) )
| ~ spl28_133 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f10601,plain,
( spl28_871
| ~ spl28_132
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3735,f3724,f1056,f10599]) ).
fof(f10599,plain,
( spl28_871
<=> ! [X13,X12,X14] :
( ~ v1_filter_0(X12,X13)
| ~ m1_filter_0(X12,X13)
| ~ m1_subset_1(X14,u1_struct_0(X13))
| ~ l3_lattices(X13)
| v3_realset2(X13)
| ~ v17_lattices(X13)
| ~ v10_lattices(X13)
| v3_struct_0(X13)
| ~ r2_hidden(X14,X12)
| v1_rat_1(X12)
| ~ v4_membered(k1_funct_1(k8_lopclset(X13),X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_871])]) ).
fof(f1056,plain,
( spl28_132
<=> ! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_132])]) ).
fof(f3735,plain,
( ! [X14,X12,X13] :
( ~ v1_filter_0(X12,X13)
| ~ m1_filter_0(X12,X13)
| ~ m1_subset_1(X14,u1_struct_0(X13))
| ~ l3_lattices(X13)
| v3_realset2(X13)
| ~ v17_lattices(X13)
| ~ v10_lattices(X13)
| v3_struct_0(X13)
| ~ r2_hidden(X14,X12)
| v1_rat_1(X12)
| ~ v4_membered(k1_funct_1(k8_lopclset(X13),X14)) )
| ~ spl28_132
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1057]) ).
fof(f1057,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_rat_1(X1)
| ~ v4_membered(X0) )
| ~ spl28_132 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f10597,plain,
( spl28_870
| ~ spl28_130
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3734,f3724,f1047,f10595]) ).
fof(f10595,plain,
( spl28_870
<=> ! [X9,X11,X10] :
( ~ v1_filter_0(X9,X10)
| ~ m1_filter_0(X9,X10)
| ~ m1_subset_1(X11,u1_struct_0(X10))
| ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| ~ r2_hidden(X11,X9)
| v1_int_1(X9)
| ~ v4_membered(k1_funct_1(k8_lopclset(X10),X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_870])]) ).
fof(f1047,plain,
( spl28_130
<=> ! [X0,X1] :
( v1_int_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_130])]) ).
fof(f3734,plain,
( ! [X10,X11,X9] :
( ~ v1_filter_0(X9,X10)
| ~ m1_filter_0(X9,X10)
| ~ m1_subset_1(X11,u1_struct_0(X10))
| ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| ~ r2_hidden(X11,X9)
| v1_int_1(X9)
| ~ v4_membered(k1_funct_1(k8_lopclset(X10),X11)) )
| ~ spl28_130
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1048]) ).
fof(f1048,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_int_1(X1)
| ~ v4_membered(X0) )
| ~ spl28_130 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f10593,plain,
( spl28_869
| ~ spl28_129
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3733,f3724,f1043,f10591]) ).
fof(f10591,plain,
( spl28_869
<=> ! [X6,X7,X8] :
( ~ v1_filter_0(X6,X7)
| ~ m1_filter_0(X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X7))
| ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| ~ r2_hidden(X8,X6)
| v1_xreal_0(X6)
| ~ v4_membered(k1_funct_1(k8_lopclset(X7),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_869])]) ).
fof(f1043,plain,
( spl28_129
<=> ! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_129])]) ).
fof(f3733,plain,
( ! [X8,X6,X7] :
( ~ v1_filter_0(X6,X7)
| ~ m1_filter_0(X6,X7)
| ~ m1_subset_1(X8,u1_struct_0(X7))
| ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| ~ r2_hidden(X8,X6)
| v1_xreal_0(X6)
| ~ v4_membered(k1_funct_1(k8_lopclset(X7),X8)) )
| ~ spl28_129
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1044]) ).
fof(f1044,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xreal_0(X1)
| ~ v4_membered(X0) )
| ~ spl28_129 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f10589,plain,
( spl28_868
| ~ spl28_128
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3732,f3724,f1039,f10587]) ).
fof(f10587,plain,
( spl28_868
<=> ! [X4,X5,X3] :
( ~ v1_filter_0(X3,X4)
| ~ m1_filter_0(X3,X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| ~ r2_hidden(X5,X3)
| v1_xcmplx_0(X3)
| ~ v4_membered(k1_funct_1(k8_lopclset(X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_868])]) ).
fof(f1039,plain,
( spl28_128
<=> ! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_128])]) ).
fof(f3732,plain,
( ! [X3,X4,X5] :
( ~ v1_filter_0(X3,X4)
| ~ m1_filter_0(X3,X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| ~ r2_hidden(X5,X3)
| v1_xcmplx_0(X3)
| ~ v4_membered(k1_funct_1(k8_lopclset(X4),X5)) )
| ~ spl28_128
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1040]) ).
fof(f1040,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xcmplx_0(X1)
| ~ v4_membered(X0) )
| ~ spl28_128 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f10585,plain,
( spl28_867
| ~ spl28_127
| ~ spl28_525 ),
inference(avatar_split_clause,[],[f3731,f3724,f1035,f10583]) ).
fof(f10583,plain,
( spl28_867
<=> ! [X2,X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X0)
| sP3(X0)
| ~ v5_membered(k1_funct_1(k8_lopclset(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_867])]) ).
fof(f1035,plain,
( spl28_127
<=> ! [X0,X1] :
( sP3(X1)
| ~ m1_subset_1(X1,X0)
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_127])]) ).
fof(f3731,plain,
( ! [X2,X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ r2_hidden(X2,X0)
| sP3(X0)
| ~ v5_membered(k1_funct_1(k8_lopclset(X1),X2)) )
| ~ spl28_127
| ~ spl28_525 ),
inference(resolution,[],[f3725,f1036]) ).
fof(f1036,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| sP3(X1)
| ~ v5_membered(X0) )
| ~ spl28_127 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f10581,plain,
( spl28_866
| ~ spl28_357
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3590,f3579,f2553,f10579]) ).
fof(f10579,plain,
( spl28_866
<=> ! [X38,X36,X35,X37] :
( ~ m1_relset_1(X35,X36,sK10(X37))
| ~ v1_funct_2(X35,X36,sK10(X37))
| ~ v1_funct_1(X35)
| v1_xboole_0(X36)
| v1_xboole_0(sK10(X37))
| ~ m1_subset_1(X38,X36)
| m1_subset_1(k8_funct_2(X36,sK10(X37),X35,X38),X37)
| v1_xboole_0(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_866])]) ).
fof(f3590,plain,
( ! [X38,X36,X37,X35] :
( ~ m1_relset_1(X35,X36,sK10(X37))
| ~ v1_funct_2(X35,X36,sK10(X37))
| ~ v1_funct_1(X35)
| v1_xboole_0(X36)
| v1_xboole_0(sK10(X37))
| ~ m1_subset_1(X38,X36)
| m1_subset_1(k8_funct_2(X36,sK10(X37),X35,X38),X37)
| v1_xboole_0(X37) )
| ~ spl28_357
| ~ spl28_506 ),
inference(resolution,[],[f3580,f2554]) ).
fof(f10577,plain,
( spl28_865
| ~ spl28_356
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3589,f3579,f2549,f10575]) ).
fof(f10575,plain,
( spl28_865
<=> ! [X31,X34,X33,X32] :
( ~ m1_relset_1(X31,X32,sK9(X33))
| ~ v1_funct_2(X31,X32,sK9(X33))
| ~ v1_funct_1(X31)
| v1_xboole_0(X32)
| v1_xboole_0(sK9(X33))
| ~ m1_subset_1(X34,X32)
| m1_subset_1(k8_funct_2(X32,sK9(X33),X31,X34),X33)
| v1_xboole_0(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_865])]) ).
fof(f3589,plain,
( ! [X31,X34,X32,X33] :
( ~ m1_relset_1(X31,X32,sK9(X33))
| ~ v1_funct_2(X31,X32,sK9(X33))
| ~ v1_funct_1(X31)
| v1_xboole_0(X32)
| v1_xboole_0(sK9(X33))
| ~ m1_subset_1(X34,X32)
| m1_subset_1(k8_funct_2(X32,sK9(X33),X31,X34),X33)
| v1_xboole_0(X33) )
| ~ spl28_356
| ~ spl28_506 ),
inference(resolution,[],[f3580,f2550]) ).
fof(f10573,plain,
( spl28_864
| ~ spl28_458
| ~ spl28_492 ),
inference(avatar_split_clause,[],[f3509,f3505,f3265,f10571]) ).
fof(f10571,plain,
( spl28_864
<=> ! [X2,X4,X3] :
( ~ v1_filter_0(X2,X3)
| ~ m1_filter_0(X2,X3)
| ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_filter_0(a_1_1_lopclset(X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_864])]) ).
fof(f3509,plain,
( ! [X2,X3,X4] :
( ~ v1_filter_0(X2,X3)
| ~ m1_filter_0(X2,X3)
| ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(X2,u1_struct_0(X4))
| ~ m1_filter_0(a_1_1_lopclset(X3),X4) )
| ~ spl28_458
| ~ spl28_492 ),
inference(resolution,[],[f3506,f3266]) ).
fof(f10447,plain,
( spl28_863
| ~ spl28_389
| ~ spl28_521 ),
inference(avatar_split_clause,[],[f3695,f3689,f2744,f10445]) ).
fof(f10445,plain,
( spl28_863
<=> ! [X18,X17,X16,X19,X20] :
( ~ m1_relset_1(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| ~ v1_xboole_0(X18)
| ~ m1_subset_1(X19,X17)
| k8_funct_2(X17,k1_zfmisc_1(X18),X16,X19) = X20
| ~ v1_xboole_0(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_863])]) ).
fof(f3695,plain,
( ! [X18,X19,X16,X17,X20] :
( ~ m1_relset_1(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| ~ v1_xboole_0(X18)
| ~ m1_subset_1(X19,X17)
| k8_funct_2(X17,k1_zfmisc_1(X18),X16,X19) = X20
| ~ v1_xboole_0(X20) )
| ~ spl28_389
| ~ spl28_521 ),
inference(resolution,[],[f3690,f2745]) ).
fof(f10443,plain,
( spl28_862
| ~ spl28_184
| ~ spl28_473 ),
inference(avatar_split_clause,[],[f3463,f3379,f1477,f10441]) ).
fof(f10441,plain,
( spl28_862
<=> ! [X9,X10] :
( ~ l3_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X9)))
| ~ m1_filter_0(sK15(X10,k1_zfmisc_1(u1_struct_0(X9))),X9)
| k1_zfmisc_1(u1_struct_0(X9)) = X10
| ~ r2_hidden(sK15(X10,k1_zfmisc_1(u1_struct_0(X9))),X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_862])]) ).
fof(f3463,plain,
( ! [X10,X9] :
( ~ l3_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X9)))
| ~ m1_filter_0(sK15(X10,k1_zfmisc_1(u1_struct_0(X9))),X9)
| k1_zfmisc_1(u1_struct_0(X9)) = X10
| ~ r2_hidden(sK15(X10,k1_zfmisc_1(u1_struct_0(X9))),X10) )
| ~ spl28_184
| ~ spl28_473 ),
inference(resolution,[],[f3380,f1478]) ).
fof(f10424,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| spl28_861
| ~ spl28_205
| ~ spl28_424 ),
inference(avatar_split_clause,[],[f3009,f3005,f1678,f10422,f588,f668,f663,f628,f593]) ).
fof(f593,plain,
( spl28_29
<=> v3_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_29])]) ).
fof(f628,plain,
( spl28_36
<=> v10_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_36])]) ).
fof(f663,plain,
( spl28_43
<=> v17_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_43])]) ).
fof(f668,plain,
( spl28_44
<=> v3_realset2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_44])]) ).
fof(f588,plain,
( spl28_28
<=> l3_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_28])]) ).
fof(f10422,plain,
( spl28_861
<=> ! [X0,X1] :
( r2_hidden(X0,k1_funct_1(k9_lopclset(sK26),X1))
| ~ m1_subset_1(X1,u1_struct_0(sK26))
| ~ m1_filter_0(X0,sK26)
| ~ v1_filter_0(X0,sK26)
| ~ r2_hidden(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_861])]) ).
fof(f3005,plain,
( spl28_424
<=> k9_lopclset(sK26) = k8_lopclset(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_424])]) ).
fof(f3009,plain,
( ! [X0,X1] :
( r2_hidden(X0,k1_funct_1(k9_lopclset(sK26),X1))
| ~ r2_hidden(X1,X0)
| ~ v1_filter_0(X0,sK26)
| ~ m1_filter_0(X0,sK26)
| ~ m1_subset_1(X1,u1_struct_0(sK26))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl28_205
| ~ spl28_424 ),
inference(superposition,[],[f1679,f3007]) ).
fof(f3007,plain,
( k9_lopclset(sK26) = k8_lopclset(sK26)
| ~ spl28_424 ),
inference(avatar_component_clause,[],[f3005]) ).
fof(f10420,plain,
( ~ spl28_860
| spl28_834
| ~ spl28_384
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3976,f3961,f2723,f9919,f10417]) ).
fof(f10417,plain,
( spl28_860
<=> v2_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_860])]) ).
fof(f2723,plain,
( spl28_384
<=> ! [X34,X35,X33] :
( ~ m2_relset_1(X33,X34,X35)
| v1_membered(X33)
| ~ v2_membered(k2_zfmisc_1(X34,X35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_384])]) ).
fof(f3976,plain,
( v1_membered(k9_lopclset(sK6))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))))
| ~ spl28_384
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2724]) ).
fof(f2724,plain,
( ! [X34,X35,X33] :
( ~ m2_relset_1(X33,X34,X35)
| v1_membered(X33)
| ~ v2_membered(k2_zfmisc_1(X34,X35)) )
| ~ spl28_384 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f10415,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| spl28_859
| ~ spl28_424
| ~ spl28_524 ),
inference(avatar_split_clause,[],[f3722,f3709,f3005,f10413,f588,f668,f663,f628,f593]) ).
fof(f10413,plain,
( spl28_859
<=> ! [X2,X3] :
( ~ v1_xboole_0(k1_funct_1(k9_lopclset(sK26),X2))
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(sK26))
| ~ v1_filter_0(X3,sK26)
| ~ m1_filter_0(X3,sK26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_859])]) ).
fof(f3709,plain,
( spl28_524
<=> ! [X13,X12,X14] :
( ~ r2_hidden(X12,X13)
| ~ v1_filter_0(X13,X14)
| ~ m1_filter_0(X13,X14)
| ~ m1_subset_1(X12,u1_struct_0(X14))
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ v1_xboole_0(k1_funct_1(k8_lopclset(X14),X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_524])]) ).
fof(f3722,plain,
( ! [X2,X3] :
( ~ v1_xboole_0(k1_funct_1(k9_lopclset(sK26),X2))
| ~ v1_filter_0(X3,sK26)
| ~ m1_filter_0(X3,sK26)
| ~ m1_subset_1(X2,u1_struct_0(sK26))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ r2_hidden(X2,X3) )
| ~ spl28_424
| ~ spl28_524 ),
inference(superposition,[],[f3710,f3007]) ).
fof(f3710,plain,
( ! [X14,X12,X13] :
( ~ v1_xboole_0(k1_funct_1(k8_lopclset(X14),X12))
| ~ v1_filter_0(X13,X14)
| ~ m1_filter_0(X13,X14)
| ~ m1_subset_1(X12,u1_struct_0(X14))
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ r2_hidden(X12,X13) )
| ~ spl28_524 ),
inference(avatar_component_clause,[],[f3709]) ).
fof(f10411,plain,
( spl28_858
| ~ spl28_458
| ~ spl28_473 ),
inference(avatar_split_clause,[],[f3459,f3379,f3265,f10409]) ).
fof(f10409,plain,
( spl28_858
<=> ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_858])]) ).
fof(f3459,plain,
( ! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X0)),X2) )
| ~ spl28_458
| ~ spl28_473 ),
inference(resolution,[],[f3380,f3266]) ).
fof(f10407,plain,
( spl28_857
| ~ spl28_184
| ~ spl28_443 ),
inference(avatar_split_clause,[],[f3259,f3201,f1477,f10405]) ).
fof(f10405,plain,
( spl28_857
<=> ! [X9,X11,X10] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X9,X10)))
| ~ m2_relset_1(sK15(X11,k1_zfmisc_1(k2_zfmisc_1(X9,X10))),X9,X10)
| k1_zfmisc_1(k2_zfmisc_1(X9,X10)) = X11
| ~ r2_hidden(sK15(X11,k1_zfmisc_1(k2_zfmisc_1(X9,X10))),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_857])]) ).
fof(f3259,plain,
( ! [X10,X11,X9] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X9,X10)))
| ~ m2_relset_1(sK15(X11,k1_zfmisc_1(k2_zfmisc_1(X9,X10))),X9,X10)
| k1_zfmisc_1(k2_zfmisc_1(X9,X10)) = X11
| ~ r2_hidden(sK15(X11,k1_zfmisc_1(k2_zfmisc_1(X9,X10))),X11) )
| ~ spl28_184
| ~ spl28_443 ),
inference(resolution,[],[f3202,f1478]) ).
fof(f10395,plain,
( spl28_856
| ~ spl28_198
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2847,f2744,f1611,f10393]) ).
fof(f10393,plain,
( spl28_856
<=> ! [X9,X8] :
( a_1_1_lopclset(X9) = X8
| ~ v1_xboole_0(X8)
| sK15(X8,a_1_1_lopclset(X9)) = sK14(sK15(X8,a_1_1_lopclset(X9)),X9)
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_856])]) ).
fof(f2847,plain,
( ! [X8,X9] :
( a_1_1_lopclset(X9) = X8
| ~ v1_xboole_0(X8)
| sK15(X8,a_1_1_lopclset(X9)) = sK14(sK15(X8,a_1_1_lopclset(X9)),X9)
| ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9) )
| ~ spl28_198
| ~ spl28_389 ),
inference(resolution,[],[f2745,f1612]) ).
fof(f10391,plain,
( spl28_855
| ~ spl28_198
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2835,f2740,f1611,f10389]) ).
fof(f10389,plain,
( spl28_855
<=> ! [X8,X7] :
( a_1_1_lopclset(X7) = X8
| ~ v1_xboole_0(X8)
| sK15(a_1_1_lopclset(X7),X8) = sK14(sK15(a_1_1_lopclset(X7),X8),X7)
| ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_855])]) ).
fof(f2835,plain,
( ! [X8,X7] :
( a_1_1_lopclset(X7) = X8
| ~ v1_xboole_0(X8)
| sK15(a_1_1_lopclset(X7),X8) = sK14(sK15(a_1_1_lopclset(X7),X8),X7)
| ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7) )
| ~ spl28_198
| ~ spl28_388 ),
inference(resolution,[],[f2741,f1612]) ).
fof(f10374,plain,
( spl28_854
| ~ spl28_266
| ~ spl28_521 ),
inference(avatar_split_clause,[],[f3693,f3689,f2013,f10372]) ).
fof(f10372,plain,
( spl28_854
<=> ! [X10,X7,X9,X8] :
( ~ m1_relset_1(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_2(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_1(X7)
| v1_xboole_0(X8)
| ~ v1_xboole_0(X9)
| ~ m1_subset_1(X10,X8)
| v1_xboole_0(k8_funct_2(X8,k1_zfmisc_1(X9),X7,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_854])]) ).
fof(f3693,plain,
( ! [X10,X8,X9,X7] :
( ~ m1_relset_1(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_2(X7,X8,k1_zfmisc_1(X9))
| ~ v1_funct_1(X7)
| v1_xboole_0(X8)
| ~ v1_xboole_0(X9)
| ~ m1_subset_1(X10,X8)
| v1_xboole_0(k8_funct_2(X8,k1_zfmisc_1(X9),X7,X10)) )
| ~ spl28_266
| ~ spl28_521 ),
inference(resolution,[],[f3690,f2014]) ).
fof(f10370,plain,
( spl28_853
| ~ spl28_87
| ~ spl28_508 ),
inference(avatar_split_clause,[],[f3681,f3625,f844,f10368]) ).
fof(f10368,plain,
( spl28_853
<=> ! [X18,X17,X16,X19] :
( ~ m1_relset_1(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| ~ m1_subset_1(X19,X17)
| ~ v5_membered(X18)
| v1_membered(k8_funct_2(X17,k1_zfmisc_1(X18),X16,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_853])]) ).
fof(f844,plain,
( spl28_87
<=> ! [X0] :
( v1_membered(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_87])]) ).
fof(f3625,plain,
( spl28_508
<=> ! [X55,X54,X53,X52] :
( ~ m1_subset_1(X52,X53)
| ~ m1_relset_1(X54,X53,k1_zfmisc_1(X55))
| ~ v1_funct_2(X54,X53,k1_zfmisc_1(X55))
| ~ v1_funct_1(X54)
| v1_xboole_0(X53)
| sP4(k8_funct_2(X53,k1_zfmisc_1(X55),X54,X52))
| ~ v5_membered(X55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_508])]) ).
fof(f3681,plain,
( ! [X18,X19,X16,X17] :
( ~ m1_relset_1(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_2(X16,X17,k1_zfmisc_1(X18))
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| ~ m1_subset_1(X19,X17)
| ~ v5_membered(X18)
| v1_membered(k8_funct_2(X17,k1_zfmisc_1(X18),X16,X19)) )
| ~ spl28_87
| ~ spl28_508 ),
inference(resolution,[],[f3626,f845]) ).
fof(f845,plain,
( ! [X0] :
( ~ sP4(X0)
| v1_membered(X0) )
| ~ spl28_87 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f3626,plain,
( ! [X54,X55,X52,X53] :
( sP4(k8_funct_2(X53,k1_zfmisc_1(X55),X54,X52))
| ~ m1_relset_1(X54,X53,k1_zfmisc_1(X55))
| ~ v1_funct_2(X54,X53,k1_zfmisc_1(X55))
| ~ v1_funct_1(X54)
| v1_xboole_0(X53)
| ~ m1_subset_1(X52,X53)
| ~ v5_membered(X55) )
| ~ spl28_508 ),
inference(avatar_component_clause,[],[f3625]) ).
fof(f10366,plain,
( spl28_852
| ~ spl28_88
| ~ spl28_508 ),
inference(avatar_split_clause,[],[f3680,f3625,f848,f10364]) ).
fof(f10364,plain,
( spl28_852
<=> ! [X13,X14,X12,X15] :
( ~ m1_relset_1(X12,X13,k1_zfmisc_1(X14))
| ~ v1_funct_2(X12,X13,k1_zfmisc_1(X14))
| ~ v1_funct_1(X12)
| v1_xboole_0(X13)
| ~ m1_subset_1(X15,X13)
| ~ v5_membered(X14)
| v2_membered(k8_funct_2(X13,k1_zfmisc_1(X14),X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_852])]) ).
fof(f848,plain,
( spl28_88
<=> ! [X0] :
( v2_membered(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_88])]) ).
fof(f3680,plain,
( ! [X14,X15,X12,X13] :
( ~ m1_relset_1(X12,X13,k1_zfmisc_1(X14))
| ~ v1_funct_2(X12,X13,k1_zfmisc_1(X14))
| ~ v1_funct_1(X12)
| v1_xboole_0(X13)
| ~ m1_subset_1(X15,X13)
| ~ v5_membered(X14)
| v2_membered(k8_funct_2(X13,k1_zfmisc_1(X14),X12,X15)) )
| ~ spl28_88
| ~ spl28_508 ),
inference(resolution,[],[f3626,f849]) ).
fof(f849,plain,
( ! [X0] :
( ~ sP4(X0)
| v2_membered(X0) )
| ~ spl28_88 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f10362,plain,
( spl28_851
| ~ spl28_89
| ~ spl28_508 ),
inference(avatar_split_clause,[],[f3679,f3625,f852,f10360]) ).
fof(f10360,plain,
( spl28_851
<=> ! [X10,X11,X9,X8] :
( ~ m1_relset_1(X8,X9,k1_zfmisc_1(X10))
| ~ v1_funct_2(X8,X9,k1_zfmisc_1(X10))
| ~ v1_funct_1(X8)
| v1_xboole_0(X9)
| ~ m1_subset_1(X11,X9)
| ~ v5_membered(X10)
| v3_membered(k8_funct_2(X9,k1_zfmisc_1(X10),X8,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_851])]) ).
fof(f852,plain,
( spl28_89
<=> ! [X0] :
( v3_membered(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_89])]) ).
fof(f3679,plain,
( ! [X10,X11,X8,X9] :
( ~ m1_relset_1(X8,X9,k1_zfmisc_1(X10))
| ~ v1_funct_2(X8,X9,k1_zfmisc_1(X10))
| ~ v1_funct_1(X8)
| v1_xboole_0(X9)
| ~ m1_subset_1(X11,X9)
| ~ v5_membered(X10)
| v3_membered(k8_funct_2(X9,k1_zfmisc_1(X10),X8,X11)) )
| ~ spl28_89
| ~ spl28_508 ),
inference(resolution,[],[f3626,f853]) ).
fof(f853,plain,
( ! [X0] :
( ~ sP4(X0)
| v3_membered(X0) )
| ~ spl28_89 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f10358,plain,
( spl28_850
| ~ spl28_90
| ~ spl28_508 ),
inference(avatar_split_clause,[],[f3678,f3625,f856,f10356]) ).
fof(f10356,plain,
( spl28_850
<=> ! [X5,X4,X7,X6] :
( ~ m1_relset_1(X4,X5,k1_zfmisc_1(X6))
| ~ v1_funct_2(X4,X5,k1_zfmisc_1(X6))
| ~ v1_funct_1(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X7,X5)
| ~ v5_membered(X6)
| v4_membered(k8_funct_2(X5,k1_zfmisc_1(X6),X4,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_850])]) ).
fof(f856,plain,
( spl28_90
<=> ! [X0] :
( v4_membered(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_90])]) ).
fof(f3678,plain,
( ! [X6,X7,X4,X5] :
( ~ m1_relset_1(X4,X5,k1_zfmisc_1(X6))
| ~ v1_funct_2(X4,X5,k1_zfmisc_1(X6))
| ~ v1_funct_1(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X7,X5)
| ~ v5_membered(X6)
| v4_membered(k8_funct_2(X5,k1_zfmisc_1(X6),X4,X7)) )
| ~ spl28_90
| ~ spl28_508 ),
inference(resolution,[],[f3626,f857]) ).
fof(f857,plain,
( ! [X0] :
( ~ sP4(X0)
| v4_membered(X0) )
| ~ spl28_90 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f10354,plain,
( spl28_849
| ~ spl28_91
| ~ spl28_508 ),
inference(avatar_split_clause,[],[f3677,f3625,f860,f10352]) ).
fof(f10352,plain,
( spl28_849
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| ~ v5_membered(X2)
| v5_membered(k8_funct_2(X1,k1_zfmisc_1(X2),X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_849])]) ).
fof(f860,plain,
( spl28_91
<=> ! [X0] :
( v5_membered(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_91])]) ).
fof(f3677,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_2(X0,X1,k1_zfmisc_1(X2))
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| ~ v5_membered(X2)
| v5_membered(k8_funct_2(X1,k1_zfmisc_1(X2),X0,X3)) )
| ~ spl28_91
| ~ spl28_508 ),
inference(resolution,[],[f3626,f861]) ).
fof(f861,plain,
( ! [X0] :
( ~ sP4(X0)
| v5_membered(X0) )
| ~ spl28_91 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f10350,plain,
( ~ spl28_848
| spl28_834
| ~ spl28_381
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3973,f3961,f2711,f9919,f10347]) ).
fof(f10347,plain,
( spl28_848
<=> v3_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_848])]) ).
fof(f2711,plain,
( spl28_381
<=> ! [X25,X24,X26] :
( ~ m2_relset_1(X24,X25,X26)
| v1_membered(X24)
| ~ v3_membered(k2_zfmisc_1(X25,X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_381])]) ).
fof(f3973,plain,
( v1_membered(k9_lopclset(sK6))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))))
| ~ spl28_381
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2712]) ).
fof(f2712,plain,
( ! [X26,X24,X25] :
( ~ m2_relset_1(X24,X25,X26)
| v1_membered(X24)
| ~ v3_membered(k2_zfmisc_1(X25,X26)) )
| ~ spl28_381 ),
inference(avatar_component_clause,[],[f2711]) ).
fof(f10273,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| spl28_847
| ~ spl28_203
| ~ spl28_424 ),
inference(avatar_split_clause,[],[f3011,f3005,f1666,f10271,f588,f668,f663,f628,f593]) ).
fof(f10271,plain,
( spl28_847
<=> ! [X4,X5] :
( ~ r2_hidden(X4,k1_funct_1(k9_lopclset(sK26),X5))
| ~ m1_subset_1(X5,u1_struct_0(sK26))
| ~ m1_filter_0(X4,sK26)
| v1_filter_0(X4,sK26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_847])]) ).
fof(f3011,plain,
( ! [X4,X5] :
( ~ r2_hidden(X4,k1_funct_1(k9_lopclset(sK26),X5))
| v1_filter_0(X4,sK26)
| ~ m1_filter_0(X4,sK26)
| ~ m1_subset_1(X5,u1_struct_0(sK26))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl28_203
| ~ spl28_424 ),
inference(superposition,[],[f1667,f3007]) ).
fof(f10197,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| spl28_846
| ~ spl28_204
| ~ spl28_424 ),
inference(avatar_split_clause,[],[f3010,f3005,f1670,f10195,f588,f668,f663,f628,f593]) ).
fof(f10195,plain,
( spl28_846
<=> ! [X2,X3] :
( ~ r2_hidden(X2,k1_funct_1(k9_lopclset(sK26),X3))
| ~ m1_subset_1(X3,u1_struct_0(sK26))
| ~ m1_filter_0(X2,sK26)
| r2_hidden(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_846])]) ).
fof(f3010,plain,
( ! [X2,X3] :
( ~ r2_hidden(X2,k1_funct_1(k9_lopclset(sK26),X3))
| r2_hidden(X3,X2)
| ~ m1_filter_0(X2,sK26)
| ~ m1_subset_1(X3,u1_struct_0(sK26))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26) )
| ~ spl28_204
| ~ spl28_424 ),
inference(superposition,[],[f1671,f3007]) ).
fof(f10189,plain,
( spl28_845
| ~ spl28_488
| ~ spl28_532 ),
inference(avatar_split_clause,[],[f3815,f3809,f3452,f10187]) ).
fof(f10187,plain,
( spl28_845
<=> ! [X0] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_partfun1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_845])]) ).
fof(f3809,plain,
( spl28_532
<=> ! [X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v1_funct_1(k9_lopclset(X1))
| ~ m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_532])]) ).
fof(f3815,plain,
( ! [X0] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_partfun1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0))) )
| ~ spl28_488
| ~ spl28_532 ),
inference(duplicate_literal_removal,[],[f3812]) ).
fof(f3812,plain,
( ! [X0] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_partfun1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl28_488
| ~ spl28_532 ),
inference(resolution,[],[f3810,f3453]) ).
fof(f3810,plain,
( ! [X1] :
( ~ m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v1_funct_1(k9_lopclset(X1))
| ~ l3_lattices(X1)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X1))) )
| ~ spl28_532 ),
inference(avatar_component_clause,[],[f3809]) ).
fof(f10185,plain,
( spl28_844
| ~ spl28_443
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3274,f3265,f3201,f10183]) ).
fof(f10183,plain,
( spl28_844
<=> ! [X10,X7,X9,X8] :
( ~ l3_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| m1_subset_1(X8,u1_struct_0(X7))
| ~ m1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X9,X10)),X7)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X9,X10)))
| ~ m2_relset_1(X8,X9,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_844])]) ).
fof(f3274,plain,
( ! [X10,X8,X9,X7] :
( ~ l3_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| m1_subset_1(X8,u1_struct_0(X7))
| ~ m1_filter_0(k1_zfmisc_1(k2_zfmisc_1(X9,X10)),X7)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X9,X10)))
| ~ m2_relset_1(X8,X9,X10) )
| ~ spl28_443
| ~ spl28_458 ),
inference(resolution,[],[f3266,f3202]) ).
fof(f10181,plain,
( spl28_843
| ~ spl28_117
| ~ spl28_506 ),
inference(avatar_split_clause,[],[f3584,f3579,f991,f10179]) ).
fof(f10179,plain,
( spl28_843
<=> ! [X10,X11,X12,X9] :
( ~ m1_relset_1(X9,X10,X11)
| ~ v1_funct_2(X9,X10,X11)
| ~ v1_funct_1(X9)
| v1_xboole_0(X10)
| v1_xboole_0(X11)
| ~ m1_subset_1(X12,X10)
| ~ r2_hidden(X11,k8_funct_2(X10,X11,X9,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_843])]) ).
fof(f3584,plain,
( ! [X10,X11,X9,X12] :
( ~ m1_relset_1(X9,X10,X11)
| ~ v1_funct_2(X9,X10,X11)
| ~ v1_funct_1(X9)
| v1_xboole_0(X10)
| v1_xboole_0(X11)
| ~ m1_subset_1(X12,X10)
| ~ r2_hidden(X11,k8_funct_2(X10,X11,X9,X12)) )
| ~ spl28_117
| ~ spl28_506 ),
inference(resolution,[],[f3580,f992]) ).
fof(f10177,plain,
( spl28_842
| ~ spl28_427
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3279,f3265,f3134,f10175]) ).
fof(f10175,plain,
( spl28_842
<=> ! [X18,X17] :
( ~ l3_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| m1_subset_1(sK11(X18),u1_struct_0(X17))
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X18)),X17)
| v3_struct_0(X18)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X18)))
| ~ l1_struct_0(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_842])]) ).
fof(f3134,plain,
( spl28_427
<=> ! [X26] :
( ~ l1_struct_0(X26)
| v3_struct_0(X26)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X26)))
| r2_hidden(sK11(X26),k1_zfmisc_1(u1_struct_0(X26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_427])]) ).
fof(f3279,plain,
( ! [X18,X17] :
( ~ l3_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| m1_subset_1(sK11(X18),u1_struct_0(X17))
| ~ m1_filter_0(k1_zfmisc_1(u1_struct_0(X18)),X17)
| v3_struct_0(X18)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X18)))
| ~ l1_struct_0(X18) )
| ~ spl28_427
| ~ spl28_458 ),
inference(resolution,[],[f3266,f3135]) ).
fof(f3135,plain,
( ! [X26] :
( r2_hidden(sK11(X26),k1_zfmisc_1(u1_struct_0(X26)))
| v3_struct_0(X26)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X26)))
| ~ l1_struct_0(X26) )
| ~ spl28_427 ),
inference(avatar_component_clause,[],[f3134]) ).
fof(f9950,plain,
( spl28_841
| ~ spl28_488
| ~ spl28_529 ),
inference(avatar_split_clause,[],[f3775,f3761,f3452,f9948]) ).
fof(f9948,plain,
( spl28_841
<=> ! [X0] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k9_lopclset(X0))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_841])]) ).
fof(f3761,plain,
( spl28_529
<=> ! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k9_lopclset(X0))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_529])]) ).
fof(f3775,plain,
( ! [X0] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k9_lopclset(X0))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl28_488
| ~ spl28_529 ),
inference(duplicate_literal_removal,[],[f3772]) ).
fof(f3772,plain,
( ! [X0] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k9_lopclset(X0))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(u1_struct_0(X0))
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl28_488
| ~ spl28_529 ),
inference(resolution,[],[f3762,f3453]) ).
fof(f3762,plain,
( ! [X0] :
( ~ m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k9_lopclset(X0))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl28_529 ),
inference(avatar_component_clause,[],[f3761]) ).
fof(f9946,plain,
( spl28_840
| ~ spl28_82
| ~ spl28_494 ),
inference(avatar_split_clause,[],[f3573,f3526,f824,f9944]) ).
fof(f9944,plain,
( spl28_840
<=> ! [X18,X17,X16,X19] :
( ~ m1_relset_1(X16,X17,X18)
| ~ v1_funct_2(X16,X17,X18)
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| ~ m1_subset_1(X19,X17)
| ~ v5_membered(X18)
| v1_xcmplx_0(k8_funct_2(X17,X18,X16,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_840])]) ).
fof(f824,plain,
( spl28_82
<=> ! [X0] :
( v1_xcmplx_0(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_82])]) ).
fof(f3526,plain,
( spl28_494
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| sP3(k8_funct_2(X1,X3,X2,X0))
| ~ v5_membered(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_494])]) ).
fof(f3573,plain,
( ! [X18,X19,X16,X17] :
( ~ m1_relset_1(X16,X17,X18)
| ~ v1_funct_2(X16,X17,X18)
| ~ v1_funct_1(X16)
| v1_xboole_0(X17)
| ~ m1_subset_1(X19,X17)
| ~ v5_membered(X18)
| v1_xcmplx_0(k8_funct_2(X17,X18,X16,X19)) )
| ~ spl28_82
| ~ spl28_494 ),
inference(resolution,[],[f3527,f825]) ).
fof(f825,plain,
( ! [X0] :
( ~ sP3(X0)
| v1_xcmplx_0(X0) )
| ~ spl28_82 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f3527,plain,
( ! [X2,X3,X0,X1] :
( sP3(k8_funct_2(X1,X3,X2,X0))
| ~ m1_relset_1(X2,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1)
| ~ v5_membered(X3) )
| ~ spl28_494 ),
inference(avatar_component_clause,[],[f3526]) ).
fof(f9942,plain,
( spl28_839
| ~ spl28_83
| ~ spl28_494 ),
inference(avatar_split_clause,[],[f3572,f3526,f828,f9940]) ).
fof(f9940,plain,
( spl28_839
<=> ! [X13,X14,X12,X15] :
( ~ m1_relset_1(X12,X13,X14)
| ~ v1_funct_2(X12,X13,X14)
| ~ v1_funct_1(X12)
| v1_xboole_0(X13)
| ~ m1_subset_1(X15,X13)
| ~ v5_membered(X14)
| v4_ordinal2(k8_funct_2(X13,X14,X12,X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_839])]) ).
fof(f828,plain,
( spl28_83
<=> ! [X0] :
( v4_ordinal2(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_83])]) ).
fof(f3572,plain,
( ! [X14,X15,X12,X13] :
( ~ m1_relset_1(X12,X13,X14)
| ~ v1_funct_2(X12,X13,X14)
| ~ v1_funct_1(X12)
| v1_xboole_0(X13)
| ~ m1_subset_1(X15,X13)
| ~ v5_membered(X14)
| v4_ordinal2(k8_funct_2(X13,X14,X12,X15)) )
| ~ spl28_83
| ~ spl28_494 ),
inference(resolution,[],[f3527,f829]) ).
fof(f829,plain,
( ! [X0] :
( ~ sP3(X0)
| v4_ordinal2(X0) )
| ~ spl28_83 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f9938,plain,
( spl28_838
| ~ spl28_84
| ~ spl28_494 ),
inference(avatar_split_clause,[],[f3571,f3526,f832,f9936]) ).
fof(f9936,plain,
( spl28_838
<=> ! [X10,X11,X9,X8] :
( ~ m1_relset_1(X8,X9,X10)
| ~ v1_funct_2(X8,X9,X10)
| ~ v1_funct_1(X8)
| v1_xboole_0(X9)
| ~ m1_subset_1(X11,X9)
| ~ v5_membered(X10)
| v1_xreal_0(k8_funct_2(X9,X10,X8,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_838])]) ).
fof(f832,plain,
( spl28_84
<=> ! [X0] :
( v1_xreal_0(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_84])]) ).
fof(f3571,plain,
( ! [X10,X11,X8,X9] :
( ~ m1_relset_1(X8,X9,X10)
| ~ v1_funct_2(X8,X9,X10)
| ~ v1_funct_1(X8)
| v1_xboole_0(X9)
| ~ m1_subset_1(X11,X9)
| ~ v5_membered(X10)
| v1_xreal_0(k8_funct_2(X9,X10,X8,X11)) )
| ~ spl28_84
| ~ spl28_494 ),
inference(resolution,[],[f3527,f833]) ).
fof(f833,plain,
( ! [X0] :
( ~ sP3(X0)
| v1_xreal_0(X0) )
| ~ spl28_84 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f9934,plain,
( spl28_837
| ~ spl28_85
| ~ spl28_494 ),
inference(avatar_split_clause,[],[f3570,f3526,f836,f9932]) ).
fof(f9932,plain,
( spl28_837
<=> ! [X5,X4,X7,X6] :
( ~ m1_relset_1(X4,X5,X6)
| ~ v1_funct_2(X4,X5,X6)
| ~ v1_funct_1(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X7,X5)
| ~ v5_membered(X6)
| v1_int_1(k8_funct_2(X5,X6,X4,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_837])]) ).
fof(f836,plain,
( spl28_85
<=> ! [X0] :
( v1_int_1(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_85])]) ).
fof(f3570,plain,
( ! [X6,X7,X4,X5] :
( ~ m1_relset_1(X4,X5,X6)
| ~ v1_funct_2(X4,X5,X6)
| ~ v1_funct_1(X4)
| v1_xboole_0(X5)
| ~ m1_subset_1(X7,X5)
| ~ v5_membered(X6)
| v1_int_1(k8_funct_2(X5,X6,X4,X7)) )
| ~ spl28_85
| ~ spl28_494 ),
inference(resolution,[],[f3527,f837]) ).
fof(f837,plain,
( ! [X0] :
( ~ sP3(X0)
| v1_int_1(X0) )
| ~ spl28_85 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f9930,plain,
( spl28_836
| ~ spl28_86
| ~ spl28_494 ),
inference(avatar_split_clause,[],[f3569,f3526,f840,f9928]) ).
fof(f9928,plain,
( spl28_836
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| ~ v5_membered(X2)
| v1_rat_1(k8_funct_2(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_836])]) ).
fof(f840,plain,
( spl28_86
<=> ! [X0] :
( v1_rat_1(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_86])]) ).
fof(f3569,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2)
| ~ v1_funct_1(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1)
| ~ v5_membered(X2)
| v1_rat_1(k8_funct_2(X1,X2,X0,X3)) )
| ~ spl28_86
| ~ spl28_494 ),
inference(resolution,[],[f3527,f841]) ).
fof(f841,plain,
( ! [X0] :
( ~ sP3(X0)
| v1_rat_1(X0) )
| ~ spl28_86 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f9926,plain,
( spl28_835
| ~ spl28_163
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3503,f3474,f1253,f9924]) ).
fof(f9924,plain,
( spl28_835
<=> ! [X54,X55] :
( v3_realset2(X54)
| ~ v17_lattices(X54)
| ~ v10_lattices(X54)
| v3_struct_0(X54)
| ~ l3_lattices(X54)
| ~ r2_hidden(X55,k7_lopclset(X54))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X54)))
| r2_hidden(X55,k1_zfmisc_1(u1_struct_0(X54))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_835])]) ).
fof(f3474,plain,
( spl28_491
<=> ! [X16,X15] :
( ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| ~ r2_hidden(X16,k7_lopclset(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_491])]) ).
fof(f3503,plain,
( ! [X54,X55] :
( v3_realset2(X54)
| ~ v17_lattices(X54)
| ~ v10_lattices(X54)
| v3_struct_0(X54)
| ~ l3_lattices(X54)
| ~ r2_hidden(X55,k7_lopclset(X54))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X54)))
| r2_hidden(X55,k1_zfmisc_1(u1_struct_0(X54))) )
| ~ spl28_163
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1254]) ).
fof(f3475,plain,
( ! [X16,X15] :
( m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| ~ l3_lattices(X15)
| ~ r2_hidden(X16,k7_lopclset(X15)) )
| ~ spl28_491 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f9922,plain,
( ~ spl28_833
| spl28_834
| ~ spl28_377
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3969,f3961,f2695,f9919,f9915]) ).
fof(f9915,plain,
( spl28_833
<=> v4_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_833])]) ).
fof(f2695,plain,
( spl28_377
<=> ! [X13,X12,X14] :
( ~ m2_relset_1(X12,X13,X14)
| v1_membered(X12)
| ~ v4_membered(k2_zfmisc_1(X13,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_377])]) ).
fof(f3969,plain,
( v1_membered(k9_lopclset(sK6))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))))
| ~ spl28_377
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2696]) ).
fof(f2696,plain,
( ! [X14,X12,X13] :
( ~ m2_relset_1(X12,X13,X14)
| v1_membered(X12)
| ~ v4_membered(k2_zfmisc_1(X13,X14)) )
| ~ spl28_377 ),
inference(avatar_component_clause,[],[f2695]) ).
fof(f9913,plain,
( spl28_832
| ~ spl28_183
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3286,f3265,f1473,f9911]) ).
fof(f9911,plain,
( spl28_832
<=> ! [X38,X36,X37] :
( ~ l3_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36)
| m1_subset_1(sK15(X37,X38),u1_struct_0(X36))
| ~ m1_filter_0(X37,X36)
| r2_hidden(sK15(X37,X38),X38)
| X37 = X38 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_832])]) ).
fof(f3286,plain,
( ! [X38,X36,X37] :
( ~ l3_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36)
| m1_subset_1(sK15(X37,X38),u1_struct_0(X36))
| ~ m1_filter_0(X37,X36)
| r2_hidden(sK15(X37,X38),X38)
| X37 = X38 )
| ~ spl28_183
| ~ spl28_458 ),
inference(resolution,[],[f3266,f1474]) ).
fof(f9909,plain,
( spl28_831
| ~ spl28_419
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3284,f3265,f2985,f9907]) ).
fof(f9907,plain,
( spl28_831
<=> ! [X32,X30,X31] :
( ~ l3_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| m1_subset_1(sK15(X31,X32),u1_struct_0(X30))
| ~ m1_filter_0(X31,X30)
| m1_subset_1(sK15(X31,X32),X32)
| X31 = X32 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_831])]) ).
fof(f3284,plain,
( ! [X31,X32,X30] :
( ~ l3_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| m1_subset_1(sK15(X31,X32),u1_struct_0(X30))
| ~ m1_filter_0(X31,X30)
| m1_subset_1(sK15(X31,X32),X32)
| X31 = X32 )
| ~ spl28_419
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2986]) ).
fof(f9905,plain,
( spl28_830
| ~ spl28_183
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3283,f3265,f1473,f9903]) ).
fof(f9903,plain,
( spl28_830
<=> ! [X29,X27,X28] :
( ~ l3_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| m1_subset_1(sK15(X28,X29),u1_struct_0(X27))
| ~ m1_filter_0(X29,X27)
| r2_hidden(sK15(X28,X29),X28)
| X28 = X29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_830])]) ).
fof(f3283,plain,
( ! [X28,X29,X27] :
( ~ l3_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| m1_subset_1(sK15(X28,X29),u1_struct_0(X27))
| ~ m1_filter_0(X29,X27)
| r2_hidden(sK15(X28,X29),X28)
| X28 = X29 )
| ~ spl28_183
| ~ spl28_458 ),
inference(resolution,[],[f3266,f1474]) ).
fof(f9901,plain,
( spl28_829
| ~ spl28_421
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3281,f3265,f2993,f9899]) ).
fof(f9899,plain,
( spl28_829
<=> ! [X22,X21,X23] :
( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| m1_subset_1(sK15(X22,X23),u1_struct_0(X21))
| ~ m1_filter_0(X23,X21)
| m1_subset_1(sK15(X22,X23),X22)
| X22 = X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_829])]) ).
fof(f3281,plain,
( ! [X21,X22,X23] :
( ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| m1_subset_1(sK15(X22,X23),u1_struct_0(X21))
| ~ m1_filter_0(X23,X21)
| m1_subset_1(sK15(X22,X23),X22)
| X22 = X23 )
| ~ spl28_421
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2994]) ).
fof(f9871,plain,
( spl28_828
| ~ spl28_123
| ~ spl28_523 ),
inference(avatar_split_clause,[],[f3720,f3705,f1016,f9869]) ).
fof(f9869,plain,
( spl28_828
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,X1)
| k8_funct_2(X1,X2,sK19(X1,X2),X0) = k1_funct_1(sK19(X1,X2),X0)
| ~ v1_funct_1(sK19(X1,X2))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_828])]) ).
fof(f1016,plain,
( spl28_123
<=> ! [X0,X1] : m1_relset_1(sK19(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_123])]) ).
fof(f3705,plain,
( spl28_523
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(sK19(X1,X2),X1,X2)
| k8_funct_2(X1,X2,sK19(X1,X2),X0) = k1_funct_1(sK19(X1,X2),X0)
| ~ v1_funct_1(sK19(X1,X2))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_523])]) ).
fof(f3720,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,X1)
| k8_funct_2(X1,X2,sK19(X1,X2),X0) = k1_funct_1(sK19(X1,X2),X0)
| ~ v1_funct_1(sK19(X1,X2))
| v1_xboole_0(X1) )
| ~ spl28_123
| ~ spl28_523 ),
inference(resolution,[],[f3706,f1017]) ).
fof(f1017,plain,
( ! [X0,X1] : m1_relset_1(sK19(X0,X1),X0,X1)
| ~ spl28_123 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f3706,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(sK19(X1,X2),X1,X2)
| ~ m1_subset_1(X0,X1)
| k8_funct_2(X1,X2,sK19(X1,X2),X0) = k1_funct_1(sK19(X1,X2),X0)
| ~ v1_funct_1(sK19(X1,X2))
| v1_xboole_0(X1) )
| ~ spl28_523 ),
inference(avatar_component_clause,[],[f3705]) ).
fof(f9867,plain,
( spl28_827
| ~ spl28_117
| ~ spl28_493 ),
inference(avatar_split_clause,[],[f3521,f3516,f991,f9865]) ).
fof(f9865,plain,
( spl28_827
<=> ! [X3] :
( v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X3))))
| ~ l3_lattices(X3)
| ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X3))),k7_lopclset(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_827])]) ).
fof(f3521,plain,
( ! [X3] :
( v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X3))))
| ~ l3_lattices(X3)
| ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X3))),k7_lopclset(X3)) )
| ~ spl28_117
| ~ spl28_493 ),
inference(resolution,[],[f3517,f992]) ).
fof(f9862,plain,
( spl28_826
| ~ spl28_195
| ~ spl28_416 ),
inference(avatar_split_clause,[],[f2974,f2963,f1594,f9860]) ).
fof(f9860,plain,
( spl28_826
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k9_lopclset(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_826])]) ).
fof(f1594,plain,
( spl28_195
<=> ! [X0] :
( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_195])]) ).
fof(f2974,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k9_lopclset(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_195
| ~ spl28_416 ),
inference(resolution,[],[f2964,f1595]) ).
fof(f1595,plain,
( ! [X0] :
( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f9858,plain,
( spl28_825
| ~ spl28_198
| ~ spl28_266 ),
inference(avatar_split_clause,[],[f2064,f2013,f1611,f9856]) ).
fof(f2064,plain,
( ! [X3] :
( v1_xboole_0(a_1_1_lopclset(X3))
| sK13(a_1_1_lopclset(X3)) = sK14(sK13(a_1_1_lopclset(X3)),X3)
| ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3) )
| ~ spl28_198
| ~ spl28_266 ),
inference(resolution,[],[f2014,f1612]) ).
fof(f9488,plain,
( spl28_824
| ~ spl28_198
| ~ spl28_492 ),
inference(avatar_split_clause,[],[f3514,f3505,f1611,f9486]) ).
fof(f3514,plain,
( ! [X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK14(X0,X1) = X0 )
| ~ spl28_198
| ~ spl28_492 ),
inference(duplicate_literal_removal,[],[f3508]) ).
fof(f3508,plain,
( ! [X0,X1] :
( ~ v1_filter_0(X0,X1)
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sK14(X0,X1) = X0
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_198
| ~ spl28_492 ),
inference(resolution,[],[f3506,f1612]) ).
fof(f9484,plain,
( spl28_823
| ~ spl28_176
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3491,f3474,f1380,f9482]) ).
fof(f9482,plain,
( spl28_823
<=> ! [X29,X30,X31] :
( v3_realset2(X29)
| ~ v17_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| ~ l3_lattices(X29)
| ~ r2_hidden(X30,k7_lopclset(X29))
| m1_subset_1(X31,u1_struct_0(X29))
| ~ r2_hidden(X31,X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_823])]) ).
fof(f3491,plain,
( ! [X31,X29,X30] :
( v3_realset2(X29)
| ~ v17_lattices(X29)
| ~ v10_lattices(X29)
| v3_struct_0(X29)
| ~ l3_lattices(X29)
| ~ r2_hidden(X30,k7_lopclset(X29))
| m1_subset_1(X31,u1_struct_0(X29))
| ~ r2_hidden(X31,X30) )
| ~ spl28_176
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1381]) ).
fof(f9480,plain,
( spl28_822
| ~ spl28_165
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3106,f2993,f1261,f9478]) ).
fof(f9478,plain,
( spl28_822
<=> ! [X57,X56,X58] :
( r2_hidden(sK15(k1_zfmisc_1(k2_zfmisc_1(X56,X57)),X58),X58)
| k1_zfmisc_1(k2_zfmisc_1(X56,X57)) = X58
| v1_relat_1(sK15(k1_zfmisc_1(k2_zfmisc_1(X56,X57)),X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_822])]) ).
fof(f1261,plain,
( spl28_165
<=> ! [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,[spl28_165])]) ).
fof(f3106,plain,
( ! [X58,X56,X57] :
( r2_hidden(sK15(k1_zfmisc_1(k2_zfmisc_1(X56,X57)),X58),X58)
| k1_zfmisc_1(k2_zfmisc_1(X56,X57)) = X58
| v1_relat_1(sK15(k1_zfmisc_1(k2_zfmisc_1(X56,X57)),X58)) )
| ~ spl28_165
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1262]) ).
fof(f1262,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl28_165 ),
inference(avatar_component_clause,[],[f1261]) ).
fof(f9476,plain,
( spl28_821
| ~ spl28_417
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3076,f2993,f2967,f9474]) ).
fof(f9474,plain,
( spl28_821
<=> ! [X20,X21] :
( m1_subset_1(sK15(X20,sK11(X21)),X20)
| sK11(X21) = X20
| m1_subset_1(sK15(X20,sK11(X21)),u1_struct_0(X21))
| ~ l1_struct_0(X21)
| v3_struct_0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_821])]) ).
fof(f3076,plain,
( ! [X21,X20] :
( m1_subset_1(sK15(X20,sK11(X21)),X20)
| sK11(X21) = X20
| m1_subset_1(sK15(X20,sK11(X21)),u1_struct_0(X21))
| ~ l1_struct_0(X21)
| v3_struct_0(X21) )
| ~ spl28_417
| ~ spl28_421 ),
inference(resolution,[],[f2994,f2968]) ).
fof(f9472,plain,
( spl28_820
| ~ spl28_165
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3066,f2985,f1261,f9470]) ).
fof(f9470,plain,
( spl28_820
<=> ! [X57,X56,X58] :
( r2_hidden(sK15(X56,k1_zfmisc_1(k2_zfmisc_1(X57,X58))),X56)
| k1_zfmisc_1(k2_zfmisc_1(X57,X58)) = X56
| v1_relat_1(sK15(X56,k1_zfmisc_1(k2_zfmisc_1(X57,X58)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_820])]) ).
fof(f3066,plain,
( ! [X58,X56,X57] :
( r2_hidden(sK15(X56,k1_zfmisc_1(k2_zfmisc_1(X57,X58))),X56)
| k1_zfmisc_1(k2_zfmisc_1(X57,X58)) = X56
| v1_relat_1(sK15(X56,k1_zfmisc_1(k2_zfmisc_1(X57,X58)))) )
| ~ spl28_165
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1262]) ).
fof(f9468,plain,
( spl28_819
| ~ spl28_417
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3036,f2985,f2967,f9466]) ).
fof(f9466,plain,
( spl28_819
<=> ! [X20,X19] :
( m1_subset_1(sK15(sK11(X19),X20),X20)
| sK11(X19) = X20
| m1_subset_1(sK15(sK11(X19),X20),u1_struct_0(X19))
| ~ l1_struct_0(X19)
| v3_struct_0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_819])]) ).
fof(f3036,plain,
( ! [X19,X20] :
( m1_subset_1(sK15(sK11(X19),X20),X20)
| sK11(X19) = X20
| m1_subset_1(sK15(sK11(X19),X20),u1_struct_0(X19))
| ~ l1_struct_0(X19)
| v3_struct_0(X19) )
| ~ spl28_417
| ~ spl28_419 ),
inference(resolution,[],[f2986,f2968]) ).
fof(f9464,plain,
( spl28_818
| ~ spl28_183
| ~ spl28_417 ),
inference(avatar_split_clause,[],[f2983,f2967,f1473,f9462]) ).
fof(f9462,plain,
( spl28_818
<=> ! [X7,X8] :
( m1_subset_1(sK15(sK11(X7),X8),u1_struct_0(X7))
| ~ l1_struct_0(X7)
| v3_struct_0(X7)
| r2_hidden(sK15(sK11(X7),X8),X8)
| sK11(X7) = X8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_818])]) ).
fof(f2983,plain,
( ! [X8,X7] :
( m1_subset_1(sK15(sK11(X7),X8),u1_struct_0(X7))
| ~ l1_struct_0(X7)
| v3_struct_0(X7)
| r2_hidden(sK15(sK11(X7),X8),X8)
| sK11(X7) = X8 )
| ~ spl28_183
| ~ spl28_417 ),
inference(resolution,[],[f2968,f1474]) ).
fof(f9460,plain,
( spl28_817
| ~ spl28_183
| ~ spl28_417 ),
inference(avatar_split_clause,[],[f2981,f2967,f1473,f9458]) ).
fof(f9458,plain,
( spl28_817
<=> ! [X4,X3] :
( m1_subset_1(sK15(X3,sK11(X4)),u1_struct_0(X4))
| ~ l1_struct_0(X4)
| v3_struct_0(X4)
| r2_hidden(sK15(X3,sK11(X4)),X3)
| sK11(X4) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_817])]) ).
fof(f2981,plain,
( ! [X3,X4] :
( m1_subset_1(sK15(X3,sK11(X4)),u1_struct_0(X4))
| ~ l1_struct_0(X4)
| v3_struct_0(X4)
| r2_hidden(sK15(X3,sK11(X4)),X3)
| sK11(X4) = X3 )
| ~ spl28_183
| ~ spl28_417 ),
inference(resolution,[],[f2968,f1474]) ).
fof(f9456,plain,
( spl28_816
| ~ spl28_195
| ~ spl28_403 ),
inference(avatar_split_clause,[],[f2957,f2905,f1594,f9454]) ).
fof(f9454,plain,
( spl28_816
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ r2_hidden(X1,k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_816])]) ).
fof(f2957,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ r2_hidden(X1,k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_403 ),
inference(resolution,[],[f2906,f1595]) ).
fof(f9452,plain,
( ~ spl28_814
| spl28_815
| ~ spl28_376
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3968,f3961,f2691,f9449,f9445]) ).
fof(f9445,plain,
( spl28_814
<=> v1_finset_1(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_814])]) ).
fof(f9449,plain,
( spl28_815
<=> v1_finset_1(k9_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_815])]) ).
fof(f2691,plain,
( spl28_376
<=> ! [X9,X11,X10] :
( ~ m2_relset_1(X9,X10,X11)
| v1_finset_1(X9)
| ~ v1_finset_1(k2_zfmisc_1(X10,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_376])]) ).
fof(f3968,plain,
( v1_finset_1(k9_lopclset(sK6))
| ~ v1_finset_1(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))))
| ~ spl28_376
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2692]) ).
fof(f2692,plain,
( ! [X10,X11,X9] :
( ~ m2_relset_1(X9,X10,X11)
| v1_finset_1(X9)
| ~ v1_finset_1(k2_zfmisc_1(X10,X11)) )
| ~ spl28_376 ),
inference(avatar_component_clause,[],[f2691]) ).
fof(f9286,plain,
( ~ spl28_812
| spl28_813
| ~ spl28_375
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3967,f3961,f2687,f9283,f9279]) ).
fof(f9279,plain,
( spl28_812
<=> v5_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_812])]) ).
fof(f9283,plain,
( spl28_813
<=> sP4(k9_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_813])]) ).
fof(f2687,plain,
( spl28_375
<=> ! [X6,X8,X7] :
( ~ m2_relset_1(X6,X7,X8)
| sP4(X6)
| ~ v5_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_375])]) ).
fof(f3967,plain,
( sP4(k9_lopclset(sK6))
| ~ v5_membered(k2_zfmisc_1(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6))))
| ~ spl28_375
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2688]) ).
fof(f2688,plain,
( ! [X8,X6,X7] :
( ~ m2_relset_1(X6,X7,X8)
| sP4(X6)
| ~ v5_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_375 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f9275,plain,
( spl28_811
| ~ spl28_117
| ~ spl28_492 ),
inference(avatar_split_clause,[],[f3511,f3505,f991,f9273]) ).
fof(f9273,plain,
( spl28_811
<=> ! [X8,X7] :
( ~ v1_filter_0(X7,X8)
| ~ m1_filter_0(X7,X8)
| ~ l3_lattices(X8)
| v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| ~ r2_hidden(a_1_1_lopclset(X8),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_811])]) ).
fof(f3511,plain,
( ! [X8,X7] :
( ~ v1_filter_0(X7,X8)
| ~ m1_filter_0(X7,X8)
| ~ l3_lattices(X8)
| v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| ~ r2_hidden(a_1_1_lopclset(X8),X7) )
| ~ spl28_117
| ~ spl28_492 ),
inference(resolution,[],[f3506,f992]) ).
fof(f9271,plain,
( spl28_810
| ~ spl28_119
| ~ spl28_492 ),
inference(avatar_split_clause,[],[f3510,f3505,f1000,f9269]) ).
fof(f9269,plain,
( spl28_810
<=> ! [X6,X5] :
( ~ v1_filter_0(X5,X6)
| ~ m1_filter_0(X5,X6)
| ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| m1_subset_1(X5,a_1_1_lopclset(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_810])]) ).
fof(f3510,plain,
( ! [X6,X5] :
( ~ v1_filter_0(X5,X6)
| ~ m1_filter_0(X5,X6)
| ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| m1_subset_1(X5,a_1_1_lopclset(X6)) )
| ~ spl28_119
| ~ spl28_492 ),
inference(resolution,[],[f3506,f1001]) ).
fof(f9267,plain,
( spl28_809
| ~ spl28_138
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3502,f3474,f1080,f9265]) ).
fof(f9265,plain,
( spl28_809
<=> ! [X52,X53] :
( v3_realset2(X52)
| ~ v17_lattices(X52)
| ~ v10_lattices(X52)
| v3_struct_0(X52)
| ~ l3_lattices(X52)
| ~ r2_hidden(X53,k7_lopclset(X52))
| v1_xcmplx_0(X53)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X52))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_809])]) ).
fof(f3502,plain,
( ! [X52,X53] :
( v3_realset2(X52)
| ~ v17_lattices(X52)
| ~ v10_lattices(X52)
| v3_struct_0(X52)
| ~ l3_lattices(X52)
| ~ r2_hidden(X53,k7_lopclset(X52))
| v1_xcmplx_0(X53)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X52))) )
| ~ spl28_138
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1081]) ).
fof(f9263,plain,
( spl28_808
| ~ spl28_137
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3501,f3474,f1076,f9261]) ).
fof(f9261,plain,
( spl28_808
<=> ! [X50,X51] :
( v3_realset2(X50)
| ~ v17_lattices(X50)
| ~ v10_lattices(X50)
| v3_struct_0(X50)
| ~ l3_lattices(X50)
| ~ r2_hidden(X51,k7_lopclset(X50))
| v1_xreal_0(X51)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X50))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_808])]) ).
fof(f3501,plain,
( ! [X50,X51] :
( v3_realset2(X50)
| ~ v17_lattices(X50)
| ~ v10_lattices(X50)
| v3_struct_0(X50)
| ~ l3_lattices(X50)
| ~ r2_hidden(X51,k7_lopclset(X50))
| v1_xreal_0(X51)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X50))) )
| ~ spl28_137
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1077]) ).
fof(f9259,plain,
( spl28_807
| ~ spl28_136
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3500,f3474,f1072,f9257]) ).
fof(f9257,plain,
( spl28_807
<=> ! [X48,X49] :
( v3_realset2(X48)
| ~ v17_lattices(X48)
| ~ v10_lattices(X48)
| v3_struct_0(X48)
| ~ l3_lattices(X48)
| ~ r2_hidden(X49,k7_lopclset(X48))
| v1_xcmplx_0(X49)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X48))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_807])]) ).
fof(f3500,plain,
( ! [X48,X49] :
( v3_realset2(X48)
| ~ v17_lattices(X48)
| ~ v10_lattices(X48)
| v3_struct_0(X48)
| ~ l3_lattices(X48)
| ~ r2_hidden(X49,k7_lopclset(X48))
| v1_xcmplx_0(X49)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X48))) )
| ~ spl28_136
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1073]) ).
fof(f9255,plain,
( spl28_806
| ~ spl28_135
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3499,f3474,f1068,f9253]) ).
fof(f9253,plain,
( spl28_806
<=> ! [X46,X47] :
( v3_realset2(X46)
| ~ v17_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ l3_lattices(X46)
| ~ r2_hidden(X47,k7_lopclset(X46))
| v1_rat_1(X47)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X46))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_806])]) ).
fof(f3499,plain,
( ! [X46,X47] :
( v3_realset2(X46)
| ~ v17_lattices(X46)
| ~ v10_lattices(X46)
| v3_struct_0(X46)
| ~ l3_lattices(X46)
| ~ r2_hidden(X47,k7_lopclset(X46))
| v1_rat_1(X47)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X46))) )
| ~ spl28_135
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1069]) ).
fof(f9251,plain,
( spl28_805
| ~ spl28_134
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3498,f3474,f1064,f9249]) ).
fof(f9249,plain,
( spl28_805
<=> ! [X45,X44] :
( v3_realset2(X44)
| ~ v17_lattices(X44)
| ~ v10_lattices(X44)
| v3_struct_0(X44)
| ~ l3_lattices(X44)
| ~ r2_hidden(X45,k7_lopclset(X44))
| v1_xreal_0(X45)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X44))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_805])]) ).
fof(f3498,plain,
( ! [X44,X45] :
( v3_realset2(X44)
| ~ v17_lattices(X44)
| ~ v10_lattices(X44)
| v3_struct_0(X44)
| ~ l3_lattices(X44)
| ~ r2_hidden(X45,k7_lopclset(X44))
| v1_xreal_0(X45)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X44))) )
| ~ spl28_134
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1065]) ).
fof(f9247,plain,
( spl28_804
| ~ spl28_133
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3497,f3474,f1060,f9245]) ).
fof(f9245,plain,
( spl28_804
<=> ! [X43,X42] :
( v3_realset2(X42)
| ~ v17_lattices(X42)
| ~ v10_lattices(X42)
| v3_struct_0(X42)
| ~ l3_lattices(X42)
| ~ r2_hidden(X43,k7_lopclset(X42))
| v1_xcmplx_0(X43)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X42))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_804])]) ).
fof(f3497,plain,
( ! [X42,X43] :
( v3_realset2(X42)
| ~ v17_lattices(X42)
| ~ v10_lattices(X42)
| v3_struct_0(X42)
| ~ l3_lattices(X42)
| ~ r2_hidden(X43,k7_lopclset(X42))
| v1_xcmplx_0(X43)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X42))) )
| ~ spl28_133
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1061]) ).
fof(f9243,plain,
( spl28_803
| ~ spl28_132
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3496,f3474,f1056,f9241]) ).
fof(f9241,plain,
( spl28_803
<=> ! [X41,X40] :
( v3_realset2(X40)
| ~ v17_lattices(X40)
| ~ v10_lattices(X40)
| v3_struct_0(X40)
| ~ l3_lattices(X40)
| ~ r2_hidden(X41,k7_lopclset(X40))
| v1_rat_1(X41)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X40))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_803])]) ).
fof(f3496,plain,
( ! [X40,X41] :
( v3_realset2(X40)
| ~ v17_lattices(X40)
| ~ v10_lattices(X40)
| v3_struct_0(X40)
| ~ l3_lattices(X40)
| ~ r2_hidden(X41,k7_lopclset(X40))
| v1_rat_1(X41)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X40))) )
| ~ spl28_132
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1057]) ).
fof(f9173,plain,
( spl28_802
| ~ spl28_130
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3495,f3474,f1047,f9171]) ).
fof(f9171,plain,
( spl28_802
<=> ! [X38,X39] :
( v3_realset2(X38)
| ~ v17_lattices(X38)
| ~ v10_lattices(X38)
| v3_struct_0(X38)
| ~ l3_lattices(X38)
| ~ r2_hidden(X39,k7_lopclset(X38))
| v1_int_1(X39)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X38))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_802])]) ).
fof(f3495,plain,
( ! [X38,X39] :
( v3_realset2(X38)
| ~ v17_lattices(X38)
| ~ v10_lattices(X38)
| v3_struct_0(X38)
| ~ l3_lattices(X38)
| ~ r2_hidden(X39,k7_lopclset(X38))
| v1_int_1(X39)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X38))) )
| ~ spl28_130
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1048]) ).
fof(f9169,plain,
( spl28_801
| ~ spl28_129
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3494,f3474,f1043,f9167]) ).
fof(f9167,plain,
( spl28_801
<=> ! [X36,X37] :
( v3_realset2(X36)
| ~ v17_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36)
| ~ l3_lattices(X36)
| ~ r2_hidden(X37,k7_lopclset(X36))
| v1_xreal_0(X37)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_801])]) ).
fof(f3494,plain,
( ! [X36,X37] :
( v3_realset2(X36)
| ~ v17_lattices(X36)
| ~ v10_lattices(X36)
| v3_struct_0(X36)
| ~ l3_lattices(X36)
| ~ r2_hidden(X37,k7_lopclset(X36))
| v1_xreal_0(X37)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X36))) )
| ~ spl28_129
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1044]) ).
fof(f9165,plain,
( spl28_800
| ~ spl28_128
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3493,f3474,f1039,f9163]) ).
fof(f9163,plain,
( spl28_800
<=> ! [X34,X35] :
( v3_realset2(X34)
| ~ v17_lattices(X34)
| ~ v10_lattices(X34)
| v3_struct_0(X34)
| ~ l3_lattices(X34)
| ~ r2_hidden(X35,k7_lopclset(X34))
| v1_xcmplx_0(X35)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_800])]) ).
fof(f3493,plain,
( ! [X34,X35] :
( v3_realset2(X34)
| ~ v17_lattices(X34)
| ~ v10_lattices(X34)
| v3_struct_0(X34)
| ~ l3_lattices(X34)
| ~ r2_hidden(X35,k7_lopclset(X34))
| v1_xcmplx_0(X35)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X34))) )
| ~ spl28_128
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1040]) ).
fof(f9161,plain,
( spl28_799
| ~ spl28_127
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3492,f3474,f1035,f9159]) ).
fof(f9159,plain,
( spl28_799
<=> ! [X32,X33] :
( v3_realset2(X32)
| ~ v17_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ l3_lattices(X32)
| ~ r2_hidden(X33,k7_lopclset(X32))
| sP3(X33)
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_799])]) ).
fof(f3492,plain,
( ! [X32,X33] :
( v3_realset2(X32)
| ~ v17_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ l3_lattices(X32)
| ~ r2_hidden(X33,k7_lopclset(X32))
| sP3(X33)
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X32))) )
| ~ spl28_127
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1036]) ).
fof(f9157,plain,
( spl28_798
| ~ spl28_170
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3490,f3474,f1352,f9155]) ).
fof(f9155,plain,
( spl28_798
<=> ! [X27,X28,X26] :
( v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| ~ l3_lattices(X26)
| ~ r2_hidden(X27,k7_lopclset(X26))
| ~ v1_xboole_0(u1_struct_0(X26))
| ~ r2_hidden(X28,X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_798])]) ).
fof(f1352,plain,
( spl28_170
<=> ! [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,[spl28_170])]) ).
fof(f3490,plain,
( ! [X28,X26,X27] :
( v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| ~ l3_lattices(X26)
| ~ r2_hidden(X27,k7_lopclset(X26))
| ~ v1_xboole_0(u1_struct_0(X26))
| ~ r2_hidden(X28,X27) )
| ~ spl28_170
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1353]) ).
fof(f1353,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl28_170 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f9153,plain,
( spl28_797
| ~ spl28_388
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3285,f3265,f2740,f9151]) ).
fof(f9151,plain,
( spl28_797
<=> ! [X34,X35,X33] :
( ~ l3_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33)
| m1_subset_1(sK15(X34,X35),u1_struct_0(X33))
| ~ m1_filter_0(X34,X33)
| X34 = X35
| ~ v1_xboole_0(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_797])]) ).
fof(f3285,plain,
( ! [X34,X35,X33] :
( ~ l3_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33)
| m1_subset_1(sK15(X34,X35),u1_struct_0(X33))
| ~ m1_filter_0(X34,X33)
| X34 = X35
| ~ v1_xboole_0(X35) )
| ~ spl28_388
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2741]) ).
fof(f9149,plain,
( spl28_796
| ~ spl28_389
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3282,f3265,f2744,f9147]) ).
fof(f9147,plain,
( spl28_796
<=> ! [X25,X24,X26] :
( ~ l3_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| m1_subset_1(sK15(X25,X26),u1_struct_0(X24))
| ~ m1_filter_0(X26,X24)
| X25 = X26
| ~ v1_xboole_0(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_796])]) ).
fof(f3282,plain,
( ! [X26,X24,X25] :
( ~ l3_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| m1_subset_1(sK15(X25,X26),u1_struct_0(X24))
| ~ m1_filter_0(X26,X24)
| X25 = X26
| ~ v1_xboole_0(X25) )
| ~ spl28_389
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2745]) ).
fof(f9145,plain,
( spl28_795
| ~ spl28_362
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3278,f3265,f2635,f9143]) ).
fof(f9143,plain,
( spl28_795
<=> ! [X16,X15] :
( ~ l3_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| m1_subset_1(sK10(X16),u1_struct_0(X15))
| ~ m1_filter_0(k1_zfmisc_1(X16),X15)
| v1_xboole_0(k1_zfmisc_1(X16))
| v1_xboole_0(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_795])]) ).
fof(f2635,plain,
( spl28_362
<=> ! [X3] :
( v1_xboole_0(k1_zfmisc_1(X3))
| r2_hidden(sK10(X3),k1_zfmisc_1(X3))
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_362])]) ).
fof(f3278,plain,
( ! [X16,X15] :
( ~ l3_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| m1_subset_1(sK10(X16),u1_struct_0(X15))
| ~ m1_filter_0(k1_zfmisc_1(X16),X15)
| v1_xboole_0(k1_zfmisc_1(X16))
| v1_xboole_0(X16) )
| ~ spl28_362
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2636]) ).
fof(f2636,plain,
( ! [X3] :
( r2_hidden(sK10(X3),k1_zfmisc_1(X3))
| v1_xboole_0(k1_zfmisc_1(X3))
| v1_xboole_0(X3) )
| ~ spl28_362 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f9141,plain,
( spl28_794
| ~ spl28_361
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3277,f3265,f2631,f9139]) ).
fof(f9139,plain,
( spl28_794
<=> ! [X13,X14] :
( ~ l3_lattices(X13)
| ~ v10_lattices(X13)
| v3_struct_0(X13)
| m1_subset_1(sK9(X14),u1_struct_0(X13))
| ~ m1_filter_0(k1_zfmisc_1(X14),X13)
| v1_xboole_0(k1_zfmisc_1(X14))
| v1_xboole_0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_794])]) ).
fof(f2631,plain,
( spl28_361
<=> ! [X2] :
( v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(sK9(X2),k1_zfmisc_1(X2))
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_361])]) ).
fof(f3277,plain,
( ! [X14,X13] :
( ~ l3_lattices(X13)
| ~ v10_lattices(X13)
| v3_struct_0(X13)
| m1_subset_1(sK9(X14),u1_struct_0(X13))
| ~ m1_filter_0(k1_zfmisc_1(X14),X13)
| v1_xboole_0(k1_zfmisc_1(X14))
| v1_xboole_0(X14) )
| ~ spl28_361
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2632]) ).
fof(f2632,plain,
( ! [X2] :
( r2_hidden(sK9(X2),k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(X2) )
| ~ spl28_361 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f9137,plain,
( spl28_793
| ~ spl28_360
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3273,f3265,f2627,f9135]) ).
fof(f9135,plain,
( spl28_793
<=> ! [X6,X4,X5] :
( ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_filter_0(k1_zfmisc_1(X6),X4)
| v1_xboole_0(k1_zfmisc_1(X6))
| ~ r1_tarski(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_793])]) ).
fof(f3273,plain,
( ! [X6,X4,X5] :
( ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_filter_0(k1_zfmisc_1(X6),X4)
| v1_xboole_0(k1_zfmisc_1(X6))
| ~ r1_tarski(X5,X6) )
| ~ spl28_360
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2628]) ).
fof(f9133,plain,
( spl28_792
| ~ spl28_355
| ~ spl28_779 ),
inference(avatar_split_clause,[],[f9089,f8535,f2545,f9131]) ).
fof(f2545,plain,
( spl28_355
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_355])]) ).
fof(f8535,plain,
( spl28_779
<=> r1_tarski(sK13(a_1_1_lopclset(sK6)),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_779])]) ).
fof(f9089,plain,
( ! [X1] :
( ~ r2_hidden(X1,sK13(a_1_1_lopclset(sK6)))
| m1_subset_1(X1,u1_struct_0(sK6)) )
| ~ spl28_355
| ~ spl28_779 ),
inference(resolution,[],[f8537,f2546]) ).
fof(f2546,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1) )
| ~ spl28_355 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f8537,plain,
( r1_tarski(sK13(a_1_1_lopclset(sK6)),u1_struct_0(sK6))
| ~ spl28_779 ),
inference(avatar_component_clause,[],[f8535]) ).
fof(f9129,plain,
( spl28_791
| ~ spl28_195
| ~ spl28_387 ),
inference(avatar_split_clause,[],[f2826,f2736,f1594,f9127]) ).
fof(f9127,plain,
( spl28_791
<=> ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v1_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_791])]) ).
fof(f2826,plain,
( ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v1_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_387 ),
inference(resolution,[],[f2737,f1595]) ).
fof(f9125,plain,
( spl28_790
| ~ spl28_195
| ~ spl28_385 ),
inference(avatar_split_clause,[],[f2821,f2727,f1594,f9123]) ).
fof(f9123,plain,
( spl28_790
<=> ! [X0] :
( v2_membered(k9_lopclset(X0))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_790])]) ).
fof(f2727,plain,
( spl28_385
<=> ! [X38,X36,X37] :
( ~ m2_relset_1(X36,X37,X38)
| v2_membered(X36)
| ~ v2_membered(k2_zfmisc_1(X37,X38)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_385])]) ).
fof(f2821,plain,
( ! [X0] :
( v2_membered(k9_lopclset(X0))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_385 ),
inference(resolution,[],[f2728,f1595]) ).
fof(f2728,plain,
( ! [X38,X36,X37] :
( ~ m2_relset_1(X36,X37,X38)
| v2_membered(X36)
| ~ v2_membered(k2_zfmisc_1(X37,X38)) )
| ~ spl28_385 ),
inference(avatar_component_clause,[],[f2727]) ).
fof(f9121,plain,
( spl28_789
| ~ spl28_195
| ~ spl28_384 ),
inference(avatar_split_clause,[],[f2816,f2723,f1594,f9119]) ).
fof(f9119,plain,
( spl28_789
<=> ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_789])]) ).
fof(f2816,plain,
( ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_384 ),
inference(resolution,[],[f2724,f1595]) ).
fof(f9117,plain,
( spl28_788
| ~ spl28_195
| ~ spl28_383 ),
inference(avatar_split_clause,[],[f2811,f2719,f1594,f9115]) ).
fof(f9115,plain,
( spl28_788
<=> ! [X0] :
( v3_membered(k9_lopclset(X0))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_788])]) ).
fof(f2719,plain,
( spl28_383
<=> ! [X32,X30,X31] :
( ~ m2_relset_1(X30,X31,X32)
| v3_membered(X30)
| ~ v3_membered(k2_zfmisc_1(X31,X32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_383])]) ).
fof(f2811,plain,
( ! [X0] :
( v3_membered(k9_lopclset(X0))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_383 ),
inference(resolution,[],[f2720,f1595]) ).
fof(f2720,plain,
( ! [X31,X32,X30] :
( ~ m2_relset_1(X30,X31,X32)
| v3_membered(X30)
| ~ v3_membered(k2_zfmisc_1(X31,X32)) )
| ~ spl28_383 ),
inference(avatar_component_clause,[],[f2719]) ).
fof(f9113,plain,
( spl28_787
| ~ spl28_195
| ~ spl28_382 ),
inference(avatar_split_clause,[],[f2806,f2715,f1594,f9111]) ).
fof(f9111,plain,
( spl28_787
<=> ! [X0] :
( v2_membered(k9_lopclset(X0))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_787])]) ).
fof(f2715,plain,
( spl28_382
<=> ! [X29,X27,X28] :
( ~ m2_relset_1(X27,X28,X29)
| v2_membered(X27)
| ~ v3_membered(k2_zfmisc_1(X28,X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_382])]) ).
fof(f2806,plain,
( ! [X0] :
( v2_membered(k9_lopclset(X0))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_382 ),
inference(resolution,[],[f2716,f1595]) ).
fof(f2716,plain,
( ! [X28,X29,X27] :
( ~ m2_relset_1(X27,X28,X29)
| v2_membered(X27)
| ~ v3_membered(k2_zfmisc_1(X28,X29)) )
| ~ spl28_382 ),
inference(avatar_component_clause,[],[f2715]) ).
fof(f9109,plain,
( spl28_786
| ~ spl28_195
| ~ spl28_381 ),
inference(avatar_split_clause,[],[f2801,f2711,f1594,f9107]) ).
fof(f9107,plain,
( spl28_786
<=> ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_786])]) ).
fof(f2801,plain,
( ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_381 ),
inference(resolution,[],[f2712,f1595]) ).
fof(f9105,plain,
( spl28_785
| ~ spl28_195
| ~ spl28_380 ),
inference(avatar_split_clause,[],[f2796,f2707,f1594,f9103]) ).
fof(f9103,plain,
( spl28_785
<=> ! [X0] :
( v4_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_785])]) ).
fof(f2707,plain,
( spl28_380
<=> ! [X22,X21,X23] :
( ~ m2_relset_1(X21,X22,X23)
| v4_membered(X21)
| ~ v4_membered(k2_zfmisc_1(X22,X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_380])]) ).
fof(f2796,plain,
( ! [X0] :
( v4_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_380 ),
inference(resolution,[],[f2708,f1595]) ).
fof(f2708,plain,
( ! [X21,X22,X23] :
( ~ m2_relset_1(X21,X22,X23)
| v4_membered(X21)
| ~ v4_membered(k2_zfmisc_1(X22,X23)) )
| ~ spl28_380 ),
inference(avatar_component_clause,[],[f2707]) ).
fof(f9101,plain,
( spl28_784
| ~ spl28_195
| ~ spl28_379 ),
inference(avatar_split_clause,[],[f2791,f2703,f1594,f9099]) ).
fof(f9099,plain,
( spl28_784
<=> ! [X0] :
( v3_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_784])]) ).
fof(f2703,plain,
( spl28_379
<=> ! [X20,X18,X19] :
( ~ m2_relset_1(X18,X19,X20)
| v3_membered(X18)
| ~ v4_membered(k2_zfmisc_1(X19,X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_379])]) ).
fof(f2791,plain,
( ! [X0] :
( v3_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_379 ),
inference(resolution,[],[f2704,f1595]) ).
fof(f2704,plain,
( ! [X18,X19,X20] :
( ~ m2_relset_1(X18,X19,X20)
| v3_membered(X18)
| ~ v4_membered(k2_zfmisc_1(X19,X20)) )
| ~ spl28_379 ),
inference(avatar_component_clause,[],[f2703]) ).
fof(f9097,plain,
( spl28_783
| ~ spl28_195
| ~ spl28_378 ),
inference(avatar_split_clause,[],[f2786,f2699,f1594,f9095]) ).
fof(f9095,plain,
( spl28_783
<=> ! [X0] :
( v2_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_783])]) ).
fof(f2699,plain,
( spl28_378
<=> ! [X16,X17,X15] :
( ~ m2_relset_1(X15,X16,X17)
| v2_membered(X15)
| ~ v4_membered(k2_zfmisc_1(X16,X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_378])]) ).
fof(f2786,plain,
( ! [X0] :
( v2_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_378 ),
inference(resolution,[],[f2700,f1595]) ).
fof(f2700,plain,
( ! [X16,X17,X15] :
( ~ m2_relset_1(X15,X16,X17)
| v2_membered(X15)
| ~ v4_membered(k2_zfmisc_1(X16,X17)) )
| ~ spl28_378 ),
inference(avatar_component_clause,[],[f2699]) ).
fof(f9093,plain,
( spl28_782
| ~ spl28_195
| ~ spl28_377 ),
inference(avatar_split_clause,[],[f2781,f2695,f1594,f9091]) ).
fof(f9091,plain,
( spl28_782
<=> ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_782])]) ).
fof(f2781,plain,
( ! [X0] :
( v1_membered(k9_lopclset(X0))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_377 ),
inference(resolution,[],[f2696,f1595]) ).
fof(f9064,plain,
( spl28_781
| ~ spl28_195
| ~ spl28_376 ),
inference(avatar_split_clause,[],[f2771,f2691,f1594,f9062]) ).
fof(f9062,plain,
( spl28_781
<=> ! [X0] :
( v1_finset_1(k9_lopclset(X0))
| ~ v1_finset_1(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_781])]) ).
fof(f2771,plain,
( ! [X0] :
( v1_finset_1(k9_lopclset(X0))
| ~ v1_finset_1(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_376 ),
inference(resolution,[],[f2692,f1595]) ).
fof(f9060,plain,
( spl28_780
| ~ spl28_195
| ~ spl28_375 ),
inference(avatar_split_clause,[],[f2766,f2687,f1594,f9058]) ).
fof(f9058,plain,
( spl28_780
<=> ! [X0] :
( sP4(k9_lopclset(X0))
| ~ v5_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_780])]) ).
fof(f2766,plain,
( ! [X0] :
( sP4(k9_lopclset(X0))
| ~ v5_membered(k2_zfmisc_1(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_375 ),
inference(resolution,[],[f2688,f1595]) ).
fof(f8538,plain,
( spl28_415
| spl28_779
| ~ spl28_266
| ~ spl28_756 ),
inference(avatar_split_clause,[],[f7662,f7217,f2013,f8535,f2953]) ).
fof(f7662,plain,
( r1_tarski(sK13(a_1_1_lopclset(sK6)),u1_struct_0(sK6))
| v1_xboole_0(a_1_1_lopclset(sK6))
| ~ spl28_266
| ~ spl28_756 ),
inference(resolution,[],[f7218,f2014]) ).
fof(f7804,plain,
( spl28_778
| ~ spl28_115
| ~ spl28_492 ),
inference(avatar_split_clause,[],[f3512,f3505,f981,f7802]) ).
fof(f7802,plain,
( spl28_778
<=> ! [X9,X10] :
( ~ v1_filter_0(X9,X10)
| ~ m1_filter_0(X9,X10)
| ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| ~ v1_xboole_0(a_1_1_lopclset(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_778])]) ).
fof(f981,plain,
( spl28_115
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_115])]) ).
fof(f3512,plain,
( ! [X10,X9] :
( ~ v1_filter_0(X9,X10)
| ~ m1_filter_0(X9,X10)
| ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| ~ v1_xboole_0(a_1_1_lopclset(X10)) )
| ~ spl28_115
| ~ spl28_492 ),
inference(resolution,[],[f3506,f982]) ).
fof(f982,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl28_115 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f7800,plain,
( spl28_777
| ~ spl28_162
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3489,f3474,f1249,f7798]) ).
fof(f7798,plain,
( spl28_777
<=> ! [X25,X24] :
( v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| ~ l3_lattices(X24)
| ~ r2_hidden(X25,k7_lopclset(X24))
| v1_membered(X25)
| ~ v1_membered(u1_struct_0(X24)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_777])]) ).
fof(f1249,plain,
( spl28_162
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_162])]) ).
fof(f3489,plain,
( ! [X24,X25] :
( v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| ~ l3_lattices(X24)
| ~ r2_hidden(X25,k7_lopclset(X24))
| v1_membered(X25)
| ~ v1_membered(u1_struct_0(X24)) )
| ~ spl28_162
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1250]) ).
fof(f1250,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v1_membered(X0) )
| ~ spl28_162 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f7796,plain,
( spl28_776
| ~ spl28_161
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3488,f3474,f1245,f7794]) ).
fof(f7794,plain,
( spl28_776
<=> ! [X22,X23] :
( v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| ~ l3_lattices(X22)
| ~ r2_hidden(X23,k7_lopclset(X22))
| v2_membered(X23)
| ~ v2_membered(u1_struct_0(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_776])]) ).
fof(f1245,plain,
( spl28_161
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_161])]) ).
fof(f3488,plain,
( ! [X22,X23] :
( v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| ~ l3_lattices(X22)
| ~ r2_hidden(X23,k7_lopclset(X22))
| v2_membered(X23)
| ~ v2_membered(u1_struct_0(X22)) )
| ~ spl28_161
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1246]) ).
fof(f1246,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v2_membered(X0) )
| ~ spl28_161 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f7792,plain,
( spl28_775
| ~ spl28_160
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3487,f3474,f1241,f7790]) ).
fof(f7790,plain,
( spl28_775
<=> ! [X20,X21] :
( v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| ~ l3_lattices(X20)
| ~ r2_hidden(X21,k7_lopclset(X20))
| v1_membered(X21)
| ~ v2_membered(u1_struct_0(X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_775])]) ).
fof(f1241,plain,
( spl28_160
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_160])]) ).
fof(f3487,plain,
( ! [X21,X20] :
( v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| ~ l3_lattices(X20)
| ~ r2_hidden(X21,k7_lopclset(X20))
| v1_membered(X21)
| ~ v2_membered(u1_struct_0(X20)) )
| ~ spl28_160
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1242]) ).
fof(f1242,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v2_membered(X0) )
| ~ spl28_160 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f7788,plain,
( spl28_774
| ~ spl28_159
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3486,f3474,f1237,f7786]) ).
fof(f7786,plain,
( spl28_774
<=> ! [X18,X19] :
( v3_realset2(X18)
| ~ v17_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ l3_lattices(X18)
| ~ r2_hidden(X19,k7_lopclset(X18))
| v3_membered(X19)
| ~ v3_membered(u1_struct_0(X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_774])]) ).
fof(f1237,plain,
( spl28_159
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_159])]) ).
fof(f3486,plain,
( ! [X18,X19] :
( v3_realset2(X18)
| ~ v17_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ l3_lattices(X18)
| ~ r2_hidden(X19,k7_lopclset(X18))
| v3_membered(X19)
| ~ v3_membered(u1_struct_0(X18)) )
| ~ spl28_159
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1238]) ).
fof(f1238,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1)
| ~ v3_membered(X0) )
| ~ spl28_159 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f7784,plain,
( spl28_773
| ~ spl28_158
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3485,f3474,f1233,f7782]) ).
fof(f7782,plain,
( spl28_773
<=> ! [X16,X17] :
( v3_realset2(X16)
| ~ v17_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| ~ l3_lattices(X16)
| ~ r2_hidden(X17,k7_lopclset(X16))
| v2_membered(X17)
| ~ v3_membered(u1_struct_0(X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_773])]) ).
fof(f1233,plain,
( spl28_158
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_158])]) ).
fof(f3485,plain,
( ! [X16,X17] :
( v3_realset2(X16)
| ~ v17_lattices(X16)
| ~ v10_lattices(X16)
| v3_struct_0(X16)
| ~ l3_lattices(X16)
| ~ r2_hidden(X17,k7_lopclset(X16))
| v2_membered(X17)
| ~ v3_membered(u1_struct_0(X16)) )
| ~ spl28_158
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1234]) ).
fof(f1234,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v3_membered(X0) )
| ~ spl28_158 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f7780,plain,
( spl28_772
| ~ spl28_157
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3484,f3474,f1229,f7778]) ).
fof(f7778,plain,
( spl28_772
<=> ! [X14,X15] :
( v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ l3_lattices(X14)
| ~ r2_hidden(X15,k7_lopclset(X14))
| v1_membered(X15)
| ~ v3_membered(u1_struct_0(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_772])]) ).
fof(f1229,plain,
( spl28_157
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_157])]) ).
fof(f3484,plain,
( ! [X14,X15] :
( v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ l3_lattices(X14)
| ~ r2_hidden(X15,k7_lopclset(X14))
| v1_membered(X15)
| ~ v3_membered(u1_struct_0(X14)) )
| ~ spl28_157
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1230]) ).
fof(f1230,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v3_membered(X0) )
| ~ spl28_157 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f7776,plain,
( spl28_771
| ~ spl28_154
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3483,f3474,f1216,f7774]) ).
fof(f7774,plain,
( spl28_771
<=> ! [X13,X12] :
( v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| ~ l3_lattices(X12)
| ~ r2_hidden(X13,k7_lopclset(X12))
| v4_membered(X13)
| ~ v4_membered(u1_struct_0(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_771])]) ).
fof(f1216,plain,
( spl28_154
<=> ! [X0,X1] :
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_154])]) ).
fof(f3483,plain,
( ! [X12,X13] :
( v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| ~ l3_lattices(X12)
| ~ r2_hidden(X13,k7_lopclset(X12))
| v4_membered(X13)
| ~ v4_membered(u1_struct_0(X12)) )
| ~ spl28_154
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1217]) ).
fof(f1217,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v4_membered(X1)
| ~ v4_membered(X0) )
| ~ spl28_154 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f7772,plain,
( ~ spl28_769
| spl28_770
| ~ spl28_150
| ~ spl28_741 ),
inference(avatar_split_clause,[],[f6947,f6889,f1200,f7770,f7766]) ).
fof(f7766,plain,
( spl28_769
<=> v1_finset_1(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_769])]) ).
fof(f7770,plain,
( spl28_770
<=> ! [X2] :
( ~ r2_hidden(X2,a_1_1_lopclset(sK6))
| v1_finset_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_770])]) ).
fof(f1200,plain,
( spl28_150
<=> ! [X0,X1] :
( v1_finset_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_finset_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_150])]) ).
fof(f6947,plain,
( ! [X2] :
( ~ r2_hidden(X2,a_1_1_lopclset(sK6))
| v1_finset_1(X2)
| ~ v1_finset_1(u1_struct_0(sK6)) )
| ~ spl28_150
| ~ spl28_741 ),
inference(resolution,[],[f6890,f1201]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_finset_1(X1)
| ~ v1_finset_1(X0) )
| ~ spl28_150 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f7764,plain,
( spl28_768
| ~ spl28_153
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3482,f3474,f1212,f7762]) ).
fof(f7762,plain,
( spl28_768
<=> ! [X11,X10] :
( v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| ~ l3_lattices(X10)
| ~ r2_hidden(X11,k7_lopclset(X10))
| v3_membered(X11)
| ~ v4_membered(u1_struct_0(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_768])]) ).
fof(f1212,plain,
( spl28_153
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_153])]) ).
fof(f3482,plain,
( ! [X10,X11] :
( v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| ~ l3_lattices(X10)
| ~ r2_hidden(X11,k7_lopclset(X10))
| v3_membered(X11)
| ~ v4_membered(u1_struct_0(X10)) )
| ~ spl28_153
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1213]) ).
fof(f1213,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1)
| ~ v4_membered(X0) )
| ~ spl28_153 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f7760,plain,
( spl28_767
| ~ spl28_152
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3481,f3474,f1208,f7758]) ).
fof(f7758,plain,
( spl28_767
<=> ! [X9,X8] :
( v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| ~ l3_lattices(X8)
| ~ r2_hidden(X9,k7_lopclset(X8))
| v2_membered(X9)
| ~ v4_membered(u1_struct_0(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_767])]) ).
fof(f1208,plain,
( spl28_152
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_152])]) ).
fof(f3481,plain,
( ! [X8,X9] :
( v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| ~ l3_lattices(X8)
| ~ r2_hidden(X9,k7_lopclset(X8))
| v2_membered(X9)
| ~ v4_membered(u1_struct_0(X8)) )
| ~ spl28_152
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1209]) ).
fof(f1209,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v4_membered(X0) )
| ~ spl28_152 ),
inference(avatar_component_clause,[],[f1208]) ).
fof(f7756,plain,
( spl28_766
| ~ spl28_151
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3480,f3474,f1204,f7754]) ).
fof(f7754,plain,
( spl28_766
<=> ! [X6,X7] :
( v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| ~ l3_lattices(X6)
| ~ r2_hidden(X7,k7_lopclset(X6))
| v1_membered(X7)
| ~ v4_membered(u1_struct_0(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_766])]) ).
fof(f1204,plain,
( spl28_151
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_151])]) ).
fof(f3480,plain,
( ! [X6,X7] :
( v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| ~ l3_lattices(X6)
| ~ r2_hidden(X7,k7_lopclset(X6))
| v1_membered(X7)
| ~ v4_membered(u1_struct_0(X6)) )
| ~ spl28_151
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1205]) ).
fof(f1205,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v4_membered(X0) )
| ~ spl28_151 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f7752,plain,
( spl28_765
| ~ spl28_150
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3479,f3474,f1200,f7750]) ).
fof(f7750,plain,
( spl28_765
<=> ! [X4,X5] :
( v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| ~ l3_lattices(X4)
| ~ r2_hidden(X5,k7_lopclset(X4))
| v1_finset_1(X5)
| ~ v1_finset_1(u1_struct_0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_765])]) ).
fof(f3479,plain,
( ! [X4,X5] :
( v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| ~ l3_lattices(X4)
| ~ r2_hidden(X5,k7_lopclset(X4))
| v1_finset_1(X5)
| ~ v1_finset_1(u1_struct_0(X4)) )
| ~ spl28_150
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1201]) ).
fof(f7748,plain,
( spl28_764
| ~ spl28_149
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3478,f3474,f1196,f7746]) ).
fof(f7746,plain,
( spl28_764
<=> ! [X2,X3] :
( v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ r2_hidden(X3,k7_lopclset(X2))
| sP4(X3)
| ~ v5_membered(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_764])]) ).
fof(f1196,plain,
( spl28_149
<=> ! [X0,X1] :
( sP4(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_149])]) ).
fof(f3478,plain,
( ! [X2,X3] :
( v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ r2_hidden(X3,k7_lopclset(X2))
| sP4(X3)
| ~ v5_membered(u1_struct_0(X2)) )
| ~ spl28_149
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1197]) ).
fof(f1197,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sP4(X1)
| ~ v5_membered(X0) )
| ~ spl28_149 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f7744,plain,
( spl28_763
| ~ spl28_176
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3105,f2993,f1380,f7742]) ).
fof(f7742,plain,
( spl28_763
<=> ! [X54,X53,X55] :
( r2_hidden(sK15(k1_zfmisc_1(X53),X54),X54)
| k1_zfmisc_1(X53) = X54
| m1_subset_1(X55,X53)
| ~ r2_hidden(X55,sK15(k1_zfmisc_1(X53),X54)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_763])]) ).
fof(f3105,plain,
( ! [X54,X55,X53] :
( r2_hidden(sK15(k1_zfmisc_1(X53),X54),X54)
| k1_zfmisc_1(X53) = X54
| m1_subset_1(X55,X53)
| ~ r2_hidden(X55,sK15(k1_zfmisc_1(X53),X54)) )
| ~ spl28_176
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1381]) ).
fof(f7740,plain,
( spl28_762
| ~ spl28_348
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3077,f2993,f2463,f7738]) ).
fof(f7738,plain,
( spl28_762
<=> ! [X22,X23] :
( m1_subset_1(sK15(X22,sK13(k1_zfmisc_1(X23))),X22)
| sK13(k1_zfmisc_1(X23)) = X22
| m1_subset_1(sK15(X22,sK13(k1_zfmisc_1(X23))),X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_762])]) ).
fof(f3077,plain,
( ! [X22,X23] :
( m1_subset_1(sK15(X22,sK13(k1_zfmisc_1(X23))),X22)
| sK13(k1_zfmisc_1(X23)) = X22
| m1_subset_1(sK15(X22,sK13(k1_zfmisc_1(X23))),X23) )
| ~ spl28_348
| ~ spl28_421 ),
inference(resolution,[],[f2994,f2464]) ).
fof(f7736,plain,
( spl28_761
| ~ spl28_176
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3065,f2985,f1380,f7734]) ).
fof(f7734,plain,
( spl28_761
<=> ! [X54,X53,X55] :
( r2_hidden(sK15(X53,k1_zfmisc_1(X54)),X53)
| k1_zfmisc_1(X54) = X53
| m1_subset_1(X55,X54)
| ~ r2_hidden(X55,sK15(X53,k1_zfmisc_1(X54))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_761])]) ).
fof(f3065,plain,
( ! [X54,X55,X53] :
( r2_hidden(sK15(X53,k1_zfmisc_1(X54)),X53)
| k1_zfmisc_1(X54) = X53
| m1_subset_1(X55,X54)
| ~ r2_hidden(X55,sK15(X53,k1_zfmisc_1(X54))) )
| ~ spl28_176
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1381]) ).
fof(f7732,plain,
( spl28_760
| ~ spl28_348
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3037,f2985,f2463,f7730]) ).
fof(f7730,plain,
( spl28_760
<=> ! [X22,X21] :
( m1_subset_1(sK15(sK13(k1_zfmisc_1(X21)),X22),X22)
| sK13(k1_zfmisc_1(X21)) = X22
| m1_subset_1(sK15(sK13(k1_zfmisc_1(X21)),X22),X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_760])]) ).
fof(f3037,plain,
( ! [X21,X22] :
( m1_subset_1(sK15(sK13(k1_zfmisc_1(X21)),X22),X22)
| sK13(k1_zfmisc_1(X21)) = X22
| m1_subset_1(sK15(sK13(k1_zfmisc_1(X21)),X22),X21) )
| ~ spl28_348
| ~ spl28_419 ),
inference(resolution,[],[f2986,f2464]) ).
fof(f7728,plain,
( spl28_759
| ~ spl28_184
| ~ spl28_360 ),
inference(avatar_split_clause,[],[f2750,f2627,f1477,f7726]) ).
fof(f7726,plain,
( spl28_759
<=> ! [X6,X7] :
( v1_xboole_0(k1_zfmisc_1(X6))
| ~ r1_tarski(sK15(X7,k1_zfmisc_1(X6)),X6)
| k1_zfmisc_1(X6) = X7
| ~ r2_hidden(sK15(X7,k1_zfmisc_1(X6)),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_759])]) ).
fof(f2750,plain,
( ! [X6,X7] :
( v1_xboole_0(k1_zfmisc_1(X6))
| ~ r1_tarski(sK15(X7,k1_zfmisc_1(X6)),X6)
| k1_zfmisc_1(X6) = X7
| ~ r2_hidden(sK15(X7,k1_zfmisc_1(X6)),X7) )
| ~ spl28_184
| ~ spl28_360 ),
inference(resolution,[],[f2628,f1478]) ).
fof(f7659,plain,
( spl28_758
| ~ spl28_183
| ~ spl28_348 ),
inference(avatar_split_clause,[],[f2522,f2463,f1473,f7657]) ).
fof(f7657,plain,
( spl28_758
<=> ! [X4,X3] :
( m1_subset_1(sK15(sK13(k1_zfmisc_1(X3)),X4),X3)
| r2_hidden(sK15(sK13(k1_zfmisc_1(X3)),X4),X4)
| sK13(k1_zfmisc_1(X3)) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_758])]) ).
fof(f2522,plain,
( ! [X3,X4] :
( m1_subset_1(sK15(sK13(k1_zfmisc_1(X3)),X4),X3)
| r2_hidden(sK15(sK13(k1_zfmisc_1(X3)),X4),X4)
| sK13(k1_zfmisc_1(X3)) = X4 )
| ~ spl28_183
| ~ spl28_348 ),
inference(resolution,[],[f2464,f1474]) ).
fof(f7655,plain,
( spl28_757
| ~ spl28_183
| ~ spl28_348 ),
inference(avatar_split_clause,[],[f2521,f2463,f1473,f7653]) ).
fof(f7653,plain,
( spl28_757
<=> ! [X2,X1] :
( m1_subset_1(sK15(X1,sK13(k1_zfmisc_1(X2))),X2)
| r2_hidden(sK15(X1,sK13(k1_zfmisc_1(X2))),X1)
| sK13(k1_zfmisc_1(X2)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_757])]) ).
fof(f2521,plain,
( ! [X2,X1] :
( m1_subset_1(sK15(X1,sK13(k1_zfmisc_1(X2))),X2)
| r2_hidden(sK15(X1,sK13(k1_zfmisc_1(X2))),X1)
| sK13(k1_zfmisc_1(X2)) = X1 )
| ~ spl28_183
| ~ spl28_348 ),
inference(resolution,[],[f2464,f1474]) ).
fof(f7219,plain,
( spl28_756
| ~ spl28_141
| ~ spl28_741 ),
inference(avatar_split_clause,[],[f6945,f6889,f1092,f7217]) ).
fof(f1092,plain,
( spl28_141
<=> ! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_141])]) ).
fof(f6945,plain,
( ! [X0] :
( ~ r2_hidden(X0,a_1_1_lopclset(sK6))
| r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl28_141
| ~ spl28_741 ),
inference(resolution,[],[f6890,f1093]) ).
fof(f1093,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
| ~ spl28_141 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f6995,plain,
( spl28_755
| ~ spl28_141
| ~ spl28_491 ),
inference(avatar_split_clause,[],[f3477,f3474,f1092,f6993]) ).
fof(f6993,plain,
( spl28_755
<=> ! [X0,X1] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X1,k7_lopclset(X0))
| r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_755])]) ).
fof(f3477,plain,
( ! [X0,X1] :
( v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ r2_hidden(X1,k7_lopclset(X0))
| r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl28_141
| ~ spl28_491 ),
inference(resolution,[],[f3475,f1093]) ).
fof(f6991,plain,
( spl28_754
| ~ spl28_117
| ~ spl28_473 ),
inference(avatar_split_clause,[],[f3461,f3379,f991,f6989]) ).
fof(f3461,plain,
( ! [X6,X5] :
( ~ l3_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X5)))
| ~ m1_filter_0(X6,X5)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X5)),X6) )
| ~ spl28_117
| ~ spl28_473 ),
inference(resolution,[],[f3380,f992]) ).
fof(f6987,plain,
( spl28_753
| ~ spl28_170
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3104,f2993,f1352,f6985]) ).
fof(f6985,plain,
( spl28_753
<=> ! [X50,X52,X51] :
( r2_hidden(sK15(k1_zfmisc_1(X50),X51),X51)
| k1_zfmisc_1(X50) = X51
| ~ v1_xboole_0(X50)
| ~ r2_hidden(X52,sK15(k1_zfmisc_1(X50),X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_753])]) ).
fof(f3104,plain,
( ! [X50,X51,X52] :
( r2_hidden(sK15(k1_zfmisc_1(X50),X51),X51)
| k1_zfmisc_1(X50) = X51
| ~ v1_xboole_0(X50)
| ~ r2_hidden(X52,sK15(k1_zfmisc_1(X50),X51)) )
| ~ spl28_170
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1353]) ).
fof(f6983,plain,
( spl28_752
| ~ spl28_357
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3075,f2993,f2553,f6981]) ).
fof(f6981,plain,
( spl28_752
<=> ! [X18,X19] :
( m1_subset_1(sK15(X18,sK10(X19)),X18)
| sK10(X19) = X18
| m1_subset_1(sK15(X18,sK10(X19)),X19)
| v1_xboole_0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_752])]) ).
fof(f3075,plain,
( ! [X18,X19] :
( m1_subset_1(sK15(X18,sK10(X19)),X18)
| sK10(X19) = X18
| m1_subset_1(sK15(X18,sK10(X19)),X19)
| v1_xboole_0(X19) )
| ~ spl28_357
| ~ spl28_421 ),
inference(resolution,[],[f2994,f2554]) ).
fof(f6979,plain,
( spl28_751
| ~ spl28_356
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3074,f2993,f2549,f6977]) ).
fof(f6977,plain,
( spl28_751
<=> ! [X16,X17] :
( m1_subset_1(sK15(X16,sK9(X17)),X16)
| sK9(X17) = X16
| m1_subset_1(sK15(X16,sK9(X17)),X17)
| v1_xboole_0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_751])]) ).
fof(f3074,plain,
( ! [X16,X17] :
( m1_subset_1(sK15(X16,sK9(X17)),X16)
| sK9(X17) = X16
| m1_subset_1(sK15(X16,sK9(X17)),X17)
| v1_xboole_0(X17) )
| ~ spl28_356
| ~ spl28_421 ),
inference(resolution,[],[f2994,f2550]) ).
fof(f6975,plain,
( spl28_750
| ~ spl28_170
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3064,f2985,f1352,f6973]) ).
fof(f6973,plain,
( spl28_750
<=> ! [X50,X52,X51] :
( r2_hidden(sK15(X50,k1_zfmisc_1(X51)),X50)
| k1_zfmisc_1(X51) = X50
| ~ v1_xboole_0(X51)
| ~ r2_hidden(X52,sK15(X50,k1_zfmisc_1(X51))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_750])]) ).
fof(f3064,plain,
( ! [X50,X51,X52] :
( r2_hidden(sK15(X50,k1_zfmisc_1(X51)),X50)
| k1_zfmisc_1(X51) = X50
| ~ v1_xboole_0(X51)
| ~ r2_hidden(X52,sK15(X50,k1_zfmisc_1(X51))) )
| ~ spl28_170
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1353]) ).
fof(f6944,plain,
( spl28_749
| ~ spl28_357
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3035,f2985,f2553,f6942]) ).
fof(f6942,plain,
( spl28_749
<=> ! [X18,X17] :
( m1_subset_1(sK15(sK10(X17),X18),X18)
| sK10(X17) = X18
| m1_subset_1(sK15(sK10(X17),X18),X17)
| v1_xboole_0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_749])]) ).
fof(f3035,plain,
( ! [X18,X17] :
( m1_subset_1(sK15(sK10(X17),X18),X18)
| sK10(X17) = X18
| m1_subset_1(sK15(sK10(X17),X18),X17)
| v1_xboole_0(X17) )
| ~ spl28_357
| ~ spl28_419 ),
inference(resolution,[],[f2986,f2554]) ).
fof(f6940,plain,
( spl28_748
| ~ spl28_356
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3034,f2985,f2549,f6938]) ).
fof(f6938,plain,
( spl28_748
<=> ! [X16,X15] :
( m1_subset_1(sK15(sK9(X15),X16),X16)
| sK9(X15) = X16
| m1_subset_1(sK15(sK9(X15),X16),X15)
| v1_xboole_0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_748])]) ).
fof(f3034,plain,
( ! [X16,X15] :
( m1_subset_1(sK15(sK9(X15),X16),X16)
| sK9(X15) = X16
| m1_subset_1(sK15(sK9(X15),X16),X15)
| v1_xboole_0(X15) )
| ~ spl28_356
| ~ spl28_419 ),
inference(resolution,[],[f2986,f2550]) ).
fof(f6933,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| spl28_747
| ~ spl28_194
| ~ spl28_425 ),
inference(avatar_split_clause,[],[f3024,f3015,f1590,f6930,f588,f668,f663,f628,f593]) ).
fof(f6930,plain,
( spl28_747
<=> v1_funct_2(k9_lopclset(sK26),u1_struct_0(sK26),k1_zfmisc_1(a_1_1_lopclset(sK26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_747])]) ).
fof(f1590,plain,
( spl28_194
<=> ! [X0] :
( v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_194])]) ).
fof(f3015,plain,
( spl28_425
<=> k7_lopclset(sK26) = a_1_1_lopclset(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_425])]) ).
fof(f3024,plain,
( v1_funct_2(k9_lopclset(sK26),u1_struct_0(sK26),k1_zfmisc_1(a_1_1_lopclset(sK26)))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl28_194
| ~ spl28_425 ),
inference(superposition,[],[f1591,f3017]) ).
fof(f3017,plain,
( k7_lopclset(sK26) = a_1_1_lopclset(sK26)
| ~ spl28_425 ),
inference(avatar_component_clause,[],[f3015]) ).
fof(f1591,plain,
( ! [X0] :
( v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_194 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f6912,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| spl28_746
| ~ spl28_195
| ~ spl28_425 ),
inference(avatar_split_clause,[],[f3023,f3015,f1594,f6909,f588,f668,f663,f628,f593]) ).
fof(f3023,plain,
( m2_relset_1(k9_lopclset(sK26),u1_struct_0(sK26),k1_zfmisc_1(a_1_1_lopclset(sK26)))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl28_195
| ~ spl28_425 ),
inference(superposition,[],[f1595,f3017]) ).
fof(f6907,plain,
( spl28_745
| ~ spl28_183
| ~ spl28_357 ),
inference(avatar_split_clause,[],[f2625,f2553,f1473,f6905]) ).
fof(f6905,plain,
( spl28_745
<=> ! [X4,X3] :
( m1_subset_1(sK15(sK10(X3),X4),X3)
| v1_xboole_0(X3)
| r2_hidden(sK15(sK10(X3),X4),X4)
| sK10(X3) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_745])]) ).
fof(f2625,plain,
( ! [X3,X4] :
( m1_subset_1(sK15(sK10(X3),X4),X3)
| v1_xboole_0(X3)
| r2_hidden(sK15(sK10(X3),X4),X4)
| sK10(X3) = X4 )
| ~ spl28_183
| ~ spl28_357 ),
inference(resolution,[],[f2554,f1474]) ).
fof(f6903,plain,
( spl28_744
| ~ spl28_183
| ~ spl28_357 ),
inference(avatar_split_clause,[],[f2624,f2553,f1473,f6901]) ).
fof(f6901,plain,
( spl28_744
<=> ! [X2,X1] :
( m1_subset_1(sK15(X1,sK10(X2)),X2)
| v1_xboole_0(X2)
| r2_hidden(sK15(X1,sK10(X2)),X1)
| sK10(X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_744])]) ).
fof(f2624,plain,
( ! [X2,X1] :
( m1_subset_1(sK15(X1,sK10(X2)),X2)
| v1_xboole_0(X2)
| r2_hidden(sK15(X1,sK10(X2)),X1)
| sK10(X2) = X1 )
| ~ spl28_183
| ~ spl28_357 ),
inference(resolution,[],[f2554,f1474]) ).
fof(f6899,plain,
( spl28_743
| ~ spl28_183
| ~ spl28_356 ),
inference(avatar_split_clause,[],[f2622,f2549,f1473,f6897]) ).
fof(f6897,plain,
( spl28_743
<=> ! [X4,X3] :
( m1_subset_1(sK15(sK9(X3),X4),X3)
| v1_xboole_0(X3)
| r2_hidden(sK15(sK9(X3),X4),X4)
| sK9(X3) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_743])]) ).
fof(f2622,plain,
( ! [X3,X4] :
( m1_subset_1(sK15(sK9(X3),X4),X3)
| v1_xboole_0(X3)
| r2_hidden(sK15(sK9(X3),X4),X4)
| sK9(X3) = X4 )
| ~ spl28_183
| ~ spl28_356 ),
inference(resolution,[],[f2550,f1474]) ).
fof(f6895,plain,
( spl28_742
| ~ spl28_183
| ~ spl28_356 ),
inference(avatar_split_clause,[],[f2621,f2549,f1473,f6893]) ).
fof(f6893,plain,
( spl28_742
<=> ! [X2,X1] :
( m1_subset_1(sK15(X1,sK9(X2)),X2)
| v1_xboole_0(X2)
| r2_hidden(sK15(X1,sK9(X2)),X1)
| sK9(X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_742])]) ).
fof(f2621,plain,
( ! [X2,X1] :
( m1_subset_1(sK15(X1,sK9(X2)),X2)
| v1_xboole_0(X2)
| r2_hidden(sK15(X1,sK9(X2)),X1)
| sK9(X2) = X1 )
| ~ spl28_183
| ~ spl28_356 ),
inference(resolution,[],[f2550,f1474]) ).
fof(f6891,plain,
( spl28_741
| ~ spl28_355
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3903,f3875,f2545,f6889]) ).
fof(f3875,plain,
( spl28_540
<=> r1_tarski(a_1_1_lopclset(sK6),k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_540])]) ).
fof(f3903,plain,
( ! [X1] :
( ~ r2_hidden(X1,a_1_1_lopclset(sK6))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl28_355
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2546]) ).
fof(f3877,plain,
( r1_tarski(a_1_1_lopclset(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl28_540 ),
inference(avatar_component_clause,[],[f3875]) ).
fof(f6229,plain,
( spl28_740
| ~ spl28_162
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3103,f2993,f1249,f6227]) ).
fof(f6227,plain,
( spl28_740
<=> ! [X48,X49] :
( r2_hidden(sK15(k1_zfmisc_1(X48),X49),X49)
| k1_zfmisc_1(X48) = X49
| v1_membered(sK15(k1_zfmisc_1(X48),X49))
| ~ v1_membered(X48) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_740])]) ).
fof(f3103,plain,
( ! [X48,X49] :
( r2_hidden(sK15(k1_zfmisc_1(X48),X49),X49)
| k1_zfmisc_1(X48) = X49
| v1_membered(sK15(k1_zfmisc_1(X48),X49))
| ~ v1_membered(X48) )
| ~ spl28_162
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1250]) ).
fof(f6225,plain,
( spl28_739
| ~ spl28_161
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3102,f2993,f1245,f6223]) ).
fof(f6223,plain,
( spl28_739
<=> ! [X46,X47] :
( r2_hidden(sK15(k1_zfmisc_1(X46),X47),X47)
| k1_zfmisc_1(X46) = X47
| v2_membered(sK15(k1_zfmisc_1(X46),X47))
| ~ v2_membered(X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_739])]) ).
fof(f3102,plain,
( ! [X46,X47] :
( r2_hidden(sK15(k1_zfmisc_1(X46),X47),X47)
| k1_zfmisc_1(X46) = X47
| v2_membered(sK15(k1_zfmisc_1(X46),X47))
| ~ v2_membered(X46) )
| ~ spl28_161
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1246]) ).
fof(f6221,plain,
( spl28_738
| ~ spl28_160
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3101,f2993,f1241,f6219]) ).
fof(f6219,plain,
( spl28_738
<=> ! [X45,X44] :
( r2_hidden(sK15(k1_zfmisc_1(X44),X45),X45)
| k1_zfmisc_1(X44) = X45
| v1_membered(sK15(k1_zfmisc_1(X44),X45))
| ~ v2_membered(X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_738])]) ).
fof(f3101,plain,
( ! [X44,X45] :
( r2_hidden(sK15(k1_zfmisc_1(X44),X45),X45)
| k1_zfmisc_1(X44) = X45
| v1_membered(sK15(k1_zfmisc_1(X44),X45))
| ~ v2_membered(X44) )
| ~ spl28_160
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1242]) ).
fof(f6217,plain,
( spl28_737
| ~ spl28_159
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3100,f2993,f1237,f6215]) ).
fof(f6215,plain,
( spl28_737
<=> ! [X43,X42] :
( r2_hidden(sK15(k1_zfmisc_1(X42),X43),X43)
| k1_zfmisc_1(X42) = X43
| v3_membered(sK15(k1_zfmisc_1(X42),X43))
| ~ v3_membered(X42) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_737])]) ).
fof(f3100,plain,
( ! [X42,X43] :
( r2_hidden(sK15(k1_zfmisc_1(X42),X43),X43)
| k1_zfmisc_1(X42) = X43
| v3_membered(sK15(k1_zfmisc_1(X42),X43))
| ~ v3_membered(X42) )
| ~ spl28_159
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1238]) ).
fof(f6213,plain,
( spl28_736
| ~ spl28_27
| ~ spl28_431 ),
inference(avatar_split_clause,[],[f3905,f3150,f583,f6210]) ).
fof(f6210,plain,
( spl28_736
<=> sP4(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_736])]) ).
fof(f583,plain,
( spl28_27
<=> v5_membered(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_27])]) ).
fof(f3150,plain,
( spl28_431
<=> ! [X0] :
( ~ v5_membered(X0)
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_431])]) ).
fof(f3905,plain,
( sP4(sK25)
| ~ spl28_27
| ~ spl28_431 ),
inference(resolution,[],[f3151,f585]) ).
fof(f585,plain,
( v5_membered(sK25)
| ~ spl28_27 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f3151,plain,
( ! [X0] :
( ~ v5_membered(X0)
| sP4(X0) )
| ~ spl28_431 ),
inference(avatar_component_clause,[],[f3150]) ).
fof(f6208,plain,
( spl28_735
| ~ spl28_158
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3099,f2993,f1233,f6206]) ).
fof(f6206,plain,
( spl28_735
<=> ! [X41,X40] :
( r2_hidden(sK15(k1_zfmisc_1(X40),X41),X41)
| k1_zfmisc_1(X40) = X41
| v2_membered(sK15(k1_zfmisc_1(X40),X41))
| ~ v3_membered(X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_735])]) ).
fof(f3099,plain,
( ! [X40,X41] :
( r2_hidden(sK15(k1_zfmisc_1(X40),X41),X41)
| k1_zfmisc_1(X40) = X41
| v2_membered(sK15(k1_zfmisc_1(X40),X41))
| ~ v3_membered(X40) )
| ~ spl28_158
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1234]) ).
fof(f6204,plain,
( spl28_734
| ~ spl28_157
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3098,f2993,f1229,f6202]) ).
fof(f6202,plain,
( spl28_734
<=> ! [X38,X39] :
( r2_hidden(sK15(k1_zfmisc_1(X38),X39),X39)
| k1_zfmisc_1(X38) = X39
| v1_membered(sK15(k1_zfmisc_1(X38),X39))
| ~ v3_membered(X38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_734])]) ).
fof(f3098,plain,
( ! [X38,X39] :
( r2_hidden(sK15(k1_zfmisc_1(X38),X39),X39)
| k1_zfmisc_1(X38) = X39
| v1_membered(sK15(k1_zfmisc_1(X38),X39))
| ~ v3_membered(X38) )
| ~ spl28_157
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1230]) ).
fof(f6200,plain,
( spl28_733
| ~ spl28_154
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3097,f2993,f1216,f6198]) ).
fof(f6198,plain,
( spl28_733
<=> ! [X36,X37] :
( r2_hidden(sK15(k1_zfmisc_1(X36),X37),X37)
| k1_zfmisc_1(X36) = X37
| v4_membered(sK15(k1_zfmisc_1(X36),X37))
| ~ v4_membered(X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_733])]) ).
fof(f3097,plain,
( ! [X36,X37] :
( r2_hidden(sK15(k1_zfmisc_1(X36),X37),X37)
| k1_zfmisc_1(X36) = X37
| v4_membered(sK15(k1_zfmisc_1(X36),X37))
| ~ v4_membered(X36) )
| ~ spl28_154
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1217]) ).
fof(f6196,plain,
( spl28_732
| ~ spl28_153
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3096,f2993,f1212,f6194]) ).
fof(f6194,plain,
( spl28_732
<=> ! [X34,X35] :
( r2_hidden(sK15(k1_zfmisc_1(X34),X35),X35)
| k1_zfmisc_1(X34) = X35
| v3_membered(sK15(k1_zfmisc_1(X34),X35))
| ~ v4_membered(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_732])]) ).
fof(f3096,plain,
( ! [X34,X35] :
( r2_hidden(sK15(k1_zfmisc_1(X34),X35),X35)
| k1_zfmisc_1(X34) = X35
| v3_membered(sK15(k1_zfmisc_1(X34),X35))
| ~ v4_membered(X34) )
| ~ spl28_153
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1213]) ).
fof(f6192,plain,
( spl28_731
| ~ spl28_152
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3095,f2993,f1208,f6190]) ).
fof(f6190,plain,
( spl28_731
<=> ! [X32,X33] :
( r2_hidden(sK15(k1_zfmisc_1(X32),X33),X33)
| k1_zfmisc_1(X32) = X33
| v2_membered(sK15(k1_zfmisc_1(X32),X33))
| ~ v4_membered(X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_731])]) ).
fof(f3095,plain,
( ! [X32,X33] :
( r2_hidden(sK15(k1_zfmisc_1(X32),X33),X33)
| k1_zfmisc_1(X32) = X33
| v2_membered(sK15(k1_zfmisc_1(X32),X33))
| ~ v4_membered(X32) )
| ~ spl28_152
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1209]) ).
fof(f6188,plain,
( spl28_730
| ~ spl28_151
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3094,f2993,f1204,f6186]) ).
fof(f6186,plain,
( spl28_730
<=> ! [X30,X31] :
( r2_hidden(sK15(k1_zfmisc_1(X30),X31),X31)
| k1_zfmisc_1(X30) = X31
| v1_membered(sK15(k1_zfmisc_1(X30),X31))
| ~ v4_membered(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_730])]) ).
fof(f3094,plain,
( ! [X31,X30] :
( r2_hidden(sK15(k1_zfmisc_1(X30),X31),X31)
| k1_zfmisc_1(X30) = X31
| v1_membered(sK15(k1_zfmisc_1(X30),X31))
| ~ v4_membered(X30) )
| ~ spl28_151
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1205]) ).
fof(f6184,plain,
( spl28_729
| ~ spl28_150
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3093,f2993,f1200,f6182]) ).
fof(f6182,plain,
( spl28_729
<=> ! [X29,X28] :
( r2_hidden(sK15(k1_zfmisc_1(X28),X29),X29)
| k1_zfmisc_1(X28) = X29
| v1_finset_1(sK15(k1_zfmisc_1(X28),X29))
| ~ v1_finset_1(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_729])]) ).
fof(f3093,plain,
( ! [X28,X29] :
( r2_hidden(sK15(k1_zfmisc_1(X28),X29),X29)
| k1_zfmisc_1(X28) = X29
| v1_finset_1(sK15(k1_zfmisc_1(X28),X29))
| ~ v1_finset_1(X28) )
| ~ spl28_150
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1201]) ).
fof(f6180,plain,
( spl28_728
| ~ spl28_149
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3092,f2993,f1196,f6178]) ).
fof(f6178,plain,
( spl28_728
<=> ! [X27,X26] :
( r2_hidden(sK15(k1_zfmisc_1(X26),X27),X27)
| k1_zfmisc_1(X26) = X27
| sP4(sK15(k1_zfmisc_1(X26),X27))
| ~ v5_membered(X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_728])]) ).
fof(f3092,plain,
( ! [X26,X27] :
( r2_hidden(sK15(k1_zfmisc_1(X26),X27),X27)
| k1_zfmisc_1(X26) = X27
| sP4(sK15(k1_zfmisc_1(X26),X27))
| ~ v5_membered(X26) )
| ~ spl28_149
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1197]) ).
fof(f6176,plain,
( spl28_727
| ~ spl28_162
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3063,f2985,f1249,f6174]) ).
fof(f6174,plain,
( spl28_727
<=> ! [X48,X49] :
( r2_hidden(sK15(X48,k1_zfmisc_1(X49)),X48)
| k1_zfmisc_1(X49) = X48
| v1_membered(sK15(X48,k1_zfmisc_1(X49)))
| ~ v1_membered(X49) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_727])]) ).
fof(f3063,plain,
( ! [X48,X49] :
( r2_hidden(sK15(X48,k1_zfmisc_1(X49)),X48)
| k1_zfmisc_1(X49) = X48
| v1_membered(sK15(X48,k1_zfmisc_1(X49)))
| ~ v1_membered(X49) )
| ~ spl28_162
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1250]) ).
fof(f6172,plain,
( spl28_726
| ~ spl28_161
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3062,f2985,f1245,f6170]) ).
fof(f6170,plain,
( spl28_726
<=> ! [X46,X47] :
( r2_hidden(sK15(X46,k1_zfmisc_1(X47)),X46)
| k1_zfmisc_1(X47) = X46
| v2_membered(sK15(X46,k1_zfmisc_1(X47)))
| ~ v2_membered(X47) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_726])]) ).
fof(f3062,plain,
( ! [X46,X47] :
( r2_hidden(sK15(X46,k1_zfmisc_1(X47)),X46)
| k1_zfmisc_1(X47) = X46
| v2_membered(sK15(X46,k1_zfmisc_1(X47)))
| ~ v2_membered(X47) )
| ~ spl28_161
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1246]) ).
fof(f6168,plain,
( spl28_725
| ~ spl28_15
| ~ spl28_431 ),
inference(avatar_split_clause,[],[f3904,f3150,f523,f6165]) ).
fof(f6165,plain,
( spl28_725
<=> sP4(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_725])]) ).
fof(f523,plain,
( spl28_15
<=> v5_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f3904,plain,
( sP4(k1_xboole_0)
| ~ spl28_15
| ~ spl28_431 ),
inference(resolution,[],[f3151,f525]) ).
fof(f525,plain,
( v5_membered(k1_xboole_0)
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f6163,plain,
( spl28_724
| ~ spl28_160
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3061,f2985,f1241,f6161]) ).
fof(f6161,plain,
( spl28_724
<=> ! [X45,X44] :
( r2_hidden(sK15(X44,k1_zfmisc_1(X45)),X44)
| k1_zfmisc_1(X45) = X44
| v1_membered(sK15(X44,k1_zfmisc_1(X45)))
| ~ v2_membered(X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_724])]) ).
fof(f3061,plain,
( ! [X44,X45] :
( r2_hidden(sK15(X44,k1_zfmisc_1(X45)),X44)
| k1_zfmisc_1(X45) = X44
| v1_membered(sK15(X44,k1_zfmisc_1(X45)))
| ~ v2_membered(X45) )
| ~ spl28_160
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1242]) ).
fof(f6159,plain,
( spl28_723
| ~ spl28_159
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3060,f2985,f1237,f6157]) ).
fof(f6157,plain,
( spl28_723
<=> ! [X43,X42] :
( r2_hidden(sK15(X42,k1_zfmisc_1(X43)),X42)
| k1_zfmisc_1(X43) = X42
| v3_membered(sK15(X42,k1_zfmisc_1(X43)))
| ~ v3_membered(X43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_723])]) ).
fof(f3060,plain,
( ! [X42,X43] :
( r2_hidden(sK15(X42,k1_zfmisc_1(X43)),X42)
| k1_zfmisc_1(X43) = X42
| v3_membered(sK15(X42,k1_zfmisc_1(X43)))
| ~ v3_membered(X43) )
| ~ spl28_159
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1238]) ).
fof(f6155,plain,
( spl28_722
| ~ spl28_158
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3059,f2985,f1233,f6153]) ).
fof(f6153,plain,
( spl28_722
<=> ! [X41,X40] :
( r2_hidden(sK15(X40,k1_zfmisc_1(X41)),X40)
| k1_zfmisc_1(X41) = X40
| v2_membered(sK15(X40,k1_zfmisc_1(X41)))
| ~ v3_membered(X41) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_722])]) ).
fof(f3059,plain,
( ! [X40,X41] :
( r2_hidden(sK15(X40,k1_zfmisc_1(X41)),X40)
| k1_zfmisc_1(X41) = X40
| v2_membered(sK15(X40,k1_zfmisc_1(X41)))
| ~ v3_membered(X41) )
| ~ spl28_158
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1234]) ).
fof(f6151,plain,
( spl28_721
| ~ spl28_157
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3058,f2985,f1229,f6149]) ).
fof(f6149,plain,
( spl28_721
<=> ! [X38,X39] :
( r2_hidden(sK15(X38,k1_zfmisc_1(X39)),X38)
| k1_zfmisc_1(X39) = X38
| v1_membered(sK15(X38,k1_zfmisc_1(X39)))
| ~ v3_membered(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_721])]) ).
fof(f3058,plain,
( ! [X38,X39] :
( r2_hidden(sK15(X38,k1_zfmisc_1(X39)),X38)
| k1_zfmisc_1(X39) = X38
| v1_membered(sK15(X38,k1_zfmisc_1(X39)))
| ~ v3_membered(X39) )
| ~ spl28_157
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1230]) ).
fof(f6147,plain,
( spl28_720
| ~ spl28_154
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3057,f2985,f1216,f6145]) ).
fof(f6145,plain,
( spl28_720
<=> ! [X36,X37] :
( r2_hidden(sK15(X36,k1_zfmisc_1(X37)),X36)
| k1_zfmisc_1(X37) = X36
| v4_membered(sK15(X36,k1_zfmisc_1(X37)))
| ~ v4_membered(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_720])]) ).
fof(f3057,plain,
( ! [X36,X37] :
( r2_hidden(sK15(X36,k1_zfmisc_1(X37)),X36)
| k1_zfmisc_1(X37) = X36
| v4_membered(sK15(X36,k1_zfmisc_1(X37)))
| ~ v4_membered(X37) )
| ~ spl28_154
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1217]) ).
fof(f6143,plain,
( spl28_719
| ~ spl28_153
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3056,f2985,f1212,f6141]) ).
fof(f6141,plain,
( spl28_719
<=> ! [X34,X35] :
( r2_hidden(sK15(X34,k1_zfmisc_1(X35)),X34)
| k1_zfmisc_1(X35) = X34
| v3_membered(sK15(X34,k1_zfmisc_1(X35)))
| ~ v4_membered(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_719])]) ).
fof(f3056,plain,
( ! [X34,X35] :
( r2_hidden(sK15(X34,k1_zfmisc_1(X35)),X34)
| k1_zfmisc_1(X35) = X34
| v3_membered(sK15(X34,k1_zfmisc_1(X35)))
| ~ v4_membered(X35) )
| ~ spl28_153
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1213]) ).
fof(f6139,plain,
( spl28_718
| ~ spl28_152
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3055,f2985,f1208,f6137]) ).
fof(f6137,plain,
( spl28_718
<=> ! [X32,X33] :
( r2_hidden(sK15(X32,k1_zfmisc_1(X33)),X32)
| k1_zfmisc_1(X33) = X32
| v2_membered(sK15(X32,k1_zfmisc_1(X33)))
| ~ v4_membered(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_718])]) ).
fof(f3055,plain,
( ! [X32,X33] :
( r2_hidden(sK15(X32,k1_zfmisc_1(X33)),X32)
| k1_zfmisc_1(X33) = X32
| v2_membered(sK15(X32,k1_zfmisc_1(X33)))
| ~ v4_membered(X33) )
| ~ spl28_152
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1209]) ).
fof(f6135,plain,
( spl28_717
| ~ spl28_151
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3054,f2985,f1204,f6133]) ).
fof(f6133,plain,
( spl28_717
<=> ! [X30,X31] :
( r2_hidden(sK15(X30,k1_zfmisc_1(X31)),X30)
| k1_zfmisc_1(X31) = X30
| v1_membered(sK15(X30,k1_zfmisc_1(X31)))
| ~ v4_membered(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_717])]) ).
fof(f3054,plain,
( ! [X31,X30] :
( r2_hidden(sK15(X30,k1_zfmisc_1(X31)),X30)
| k1_zfmisc_1(X31) = X30
| v1_membered(sK15(X30,k1_zfmisc_1(X31)))
| ~ v4_membered(X31) )
| ~ spl28_151
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1205]) ).
fof(f6131,plain,
( spl28_716
| ~ spl28_150
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3053,f2985,f1200,f6129]) ).
fof(f6129,plain,
( spl28_716
<=> ! [X29,X28] :
( r2_hidden(sK15(X28,k1_zfmisc_1(X29)),X28)
| k1_zfmisc_1(X29) = X28
| v1_finset_1(sK15(X28,k1_zfmisc_1(X29)))
| ~ v1_finset_1(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_716])]) ).
fof(f3053,plain,
( ! [X28,X29] :
( r2_hidden(sK15(X28,k1_zfmisc_1(X29)),X28)
| k1_zfmisc_1(X29) = X28
| v1_finset_1(sK15(X28,k1_zfmisc_1(X29)))
| ~ v1_finset_1(X29) )
| ~ spl28_150
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1201]) ).
fof(f6127,plain,
( spl28_715
| ~ spl28_149
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3052,f2985,f1196,f6125]) ).
fof(f6125,plain,
( spl28_715
<=> ! [X27,X26] :
( r2_hidden(sK15(X26,k1_zfmisc_1(X27)),X26)
| k1_zfmisc_1(X27) = X26
| sP4(sK15(X26,k1_zfmisc_1(X27)))
| ~ v5_membered(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_715])]) ).
fof(f3052,plain,
( ! [X26,X27] :
( r2_hidden(sK15(X26,k1_zfmisc_1(X27)),X26)
| k1_zfmisc_1(X27) = X26
| sP4(sK15(X26,k1_zfmisc_1(X27)))
| ~ v5_membered(X27) )
| ~ spl28_149
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1197]) ).
fof(f6095,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| spl28_714
| ~ spl28_192
| ~ spl28_425 ),
inference(avatar_split_clause,[],[f3025,f3015,f1555,f6092,f588,f668,f663,f628,f593]) ).
fof(f6092,plain,
( spl28_714
<=> m1_subset_1(a_1_1_lopclset(sK26),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_714])]) ).
fof(f1555,plain,
( spl28_192
<=> ! [X0] :
( m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_192])]) ).
fof(f3025,plain,
( m1_subset_1(a_1_1_lopclset(sK26),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK26))))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl28_192
| ~ spl28_425 ),
inference(superposition,[],[f1556,f3017]) ).
fof(f1556,plain,
( ! [X0] :
( m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_192 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f6090,plain,
( spl28_713
| ~ spl28_388
| ~ spl28_417 ),
inference(avatar_split_clause,[],[f2982,f2967,f2740,f6088]) ).
fof(f6088,plain,
( spl28_713
<=> ! [X6,X5] :
( m1_subset_1(sK15(sK11(X5),X6),u1_struct_0(X5))
| ~ l1_struct_0(X5)
| v3_struct_0(X5)
| sK11(X5) = X6
| ~ v1_xboole_0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_713])]) ).
fof(f2982,plain,
( ! [X6,X5] :
( m1_subset_1(sK15(sK11(X5),X6),u1_struct_0(X5))
| ~ l1_struct_0(X5)
| v3_struct_0(X5)
| sK11(X5) = X6
| ~ v1_xboole_0(X6) )
| ~ spl28_388
| ~ spl28_417 ),
inference(resolution,[],[f2968,f2741]) ).
fof(f6086,plain,
( spl28_712
| ~ spl28_389
| ~ spl28_417 ),
inference(avatar_split_clause,[],[f2980,f2967,f2744,f6084]) ).
fof(f6084,plain,
( spl28_712
<=> ! [X2,X1] :
( m1_subset_1(sK15(X1,sK11(X2)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2)
| sK11(X2) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_712])]) ).
fof(f2980,plain,
( ! [X2,X1] :
( m1_subset_1(sK15(X1,sK11(X2)),u1_struct_0(X2))
| ~ l1_struct_0(X2)
| v3_struct_0(X2)
| sK11(X2) = X1
| ~ v1_xboole_0(X1) )
| ~ spl28_389
| ~ spl28_417 ),
inference(resolution,[],[f2968,f2745]) ).
fof(f5941,plain,
( ~ spl28_28
| spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| spl28_711
| ~ spl28_425
| ~ spl28_459 ),
inference(avatar_split_clause,[],[f3313,f3269,f3015,f5938,f668,f663,f628,f593,f588]) ).
fof(f3269,plain,
( spl28_459
<=> ! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k7_lopclset(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_459])]) ).
fof(f3313,plain,
( r1_tarski(a_1_1_lopclset(sK26),k1_zfmisc_1(u1_struct_0(sK26)))
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ l3_lattices(sK26)
| ~ spl28_425
| ~ spl28_459 ),
inference(superposition,[],[f3270,f3017]) ).
fof(f3270,plain,
( ! [X0] :
( r1_tarski(k7_lopclset(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl28_459 ),
inference(avatar_component_clause,[],[f3269]) ).
fof(f5936,plain,
( spl28_710
| ~ spl28_266
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3280,f3265,f2013,f5934]) ).
fof(f5934,plain,
( spl28_710
<=> ! [X20,X19] :
( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| m1_subset_1(sK13(X20),u1_struct_0(X19))
| ~ m1_filter_0(X20,X19)
| v1_xboole_0(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_710])]) ).
fof(f3280,plain,
( ! [X19,X20] :
( ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| m1_subset_1(sK13(X20),u1_struct_0(X19))
| ~ m1_filter_0(X20,X19)
| v1_xboole_0(X20) )
| ~ spl28_266
| ~ spl28_458 ),
inference(resolution,[],[f3266,f2014]) ).
fof(f5932,plain,
( spl28_709
| ~ spl28_166
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3965,f3961,f1265,f5929]) ).
fof(f3965,plain,
( m1_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ spl28_166
| ~ spl28_542 ),
inference(resolution,[],[f3963,f1266]) ).
fof(f5927,plain,
( spl28_708
| ~ spl28_141
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3091,f2993,f1092,f5925]) ).
fof(f5925,plain,
( spl28_708
<=> ! [X25,X24] :
( r2_hidden(sK15(k1_zfmisc_1(X24),X25),X25)
| k1_zfmisc_1(X24) = X25
| r1_tarski(sK15(k1_zfmisc_1(X24),X25),X24) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_708])]) ).
fof(f3091,plain,
( ! [X24,X25] :
( r2_hidden(sK15(k1_zfmisc_1(X24),X25),X25)
| k1_zfmisc_1(X24) = X25
| r1_tarski(sK15(k1_zfmisc_1(X24),X25),X24) )
| ~ spl28_141
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1093]) ).
fof(f5923,plain,
( spl28_707
| ~ spl28_141
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3051,f2985,f1092,f5921]) ).
fof(f5921,plain,
( spl28_707
<=> ! [X25,X24] :
( r2_hidden(sK15(X24,k1_zfmisc_1(X25)),X24)
| k1_zfmisc_1(X25) = X24
| r1_tarski(sK15(X24,k1_zfmisc_1(X25)),X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_707])]) ).
fof(f3051,plain,
( ! [X24,X25] :
( r2_hidden(sK15(X24,k1_zfmisc_1(X25)),X24)
| k1_zfmisc_1(X25) = X24
| r1_tarski(sK15(X24,k1_zfmisc_1(X25)),X25) )
| ~ spl28_141
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1093]) ).
fof(f5913,plain,
( spl28_706
| ~ spl28_117
| ~ spl28_443 ),
inference(avatar_split_clause,[],[f3257,f3201,f991,f5911]) ).
fof(f3257,plain,
( ! [X3,X4,X5] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X3,X4)))
| ~ m2_relset_1(X5,X3,X4)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X3,X4)),X5) )
| ~ spl28_117
| ~ spl28_443 ),
inference(resolution,[],[f3202,f992]) ).
fof(f5489,plain,
( ~ spl28_705
| spl28_661
| ~ spl28_345
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3901,f3875,f2441,f4719,f5486]) ).
fof(f5486,plain,
( spl28_705
<=> v1_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_705])]) ).
fof(f4719,plain,
( spl28_661
<=> v1_xcmplx_0(a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_661])]) ).
fof(f3901,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK6))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_345
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2442]) ).
fof(f5008,plain,
( spl28_704
| ~ spl28_117
| ~ spl28_427 ),
inference(avatar_split_clause,[],[f3190,f3134,f991,f5006]) ).
fof(f5006,plain,
( spl28_704
<=> ! [X1] :
( v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X1)),sK11(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_704])]) ).
fof(f3190,plain,
( ! [X1] :
( v3_struct_0(X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X1)),sK11(X1)) )
| ~ spl28_117
| ~ spl28_427 ),
inference(resolution,[],[f3135,f992]) ).
fof(f5004,plain,
( spl28_703
| ~ spl28_138
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3089,f2993,f1080,f5002]) ).
fof(f3089,plain,
( ! [X21,X20] :
( r2_hidden(sK15(X20,X21),X21)
| X20 = X21
| v1_xcmplx_0(sK15(X20,X21))
| ~ v1_membered(X20) )
| ~ spl28_138
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1081]) ).
fof(f5000,plain,
( spl28_702
| ~ spl28_137
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3088,f2993,f1076,f4998]) ).
fof(f3088,plain,
( ! [X18,X19] :
( r2_hidden(sK15(X18,X19),X19)
| X18 = X19
| v1_xreal_0(sK15(X18,X19))
| ~ v2_membered(X18) )
| ~ spl28_137
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1077]) ).
fof(f4996,plain,
( ~ spl28_701
| spl28_661
| ~ spl28_343
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3899,f3875,f2433,f4719,f4993]) ).
fof(f4993,plain,
( spl28_701
<=> v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_701])]) ).
fof(f3899,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK6))
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_343
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2434]) ).
fof(f4991,plain,
( spl28_700
| ~ spl28_136
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3087,f2993,f1072,f4989]) ).
fof(f3087,plain,
( ! [X16,X17] :
( r2_hidden(sK15(X16,X17),X17)
| X16 = X17
| v1_xcmplx_0(sK15(X16,X17))
| ~ v2_membered(X16) )
| ~ spl28_136
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1073]) ).
fof(f4987,plain,
( spl28_699
| ~ spl28_135
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3086,f2993,f1068,f4985]) ).
fof(f3086,plain,
( ! [X14,X15] :
( r2_hidden(sK15(X14,X15),X15)
| X14 = X15
| v1_rat_1(sK15(X14,X15))
| ~ v3_membered(X14) )
| ~ spl28_135
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1069]) ).
fof(f4983,plain,
( spl28_698
| ~ spl28_134
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3085,f2993,f1064,f4981]) ).
fof(f3085,plain,
( ! [X12,X13] :
( r2_hidden(sK15(X12,X13),X13)
| X12 = X13
| v1_xreal_0(sK15(X12,X13))
| ~ v3_membered(X12) )
| ~ spl28_134
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1065]) ).
fof(f4979,plain,
( spl28_697
| ~ spl28_133
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3084,f2993,f1060,f4977]) ).
fof(f3084,plain,
( ! [X10,X11] :
( r2_hidden(sK15(X10,X11),X11)
| X10 = X11
| v1_xcmplx_0(sK15(X10,X11))
| ~ v3_membered(X10) )
| ~ spl28_133
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1061]) ).
fof(f4975,plain,
( spl28_696
| ~ spl28_132
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3083,f2993,f1056,f4973]) ).
fof(f3083,plain,
( ! [X8,X9] :
( r2_hidden(sK15(X8,X9),X9)
| X8 = X9
| v1_rat_1(sK15(X8,X9))
| ~ v4_membered(X8) )
| ~ spl28_132
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1057]) ).
fof(f4971,plain,
( spl28_695
| ~ spl28_130
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3082,f2993,f1047,f4969]) ).
fof(f3082,plain,
( ! [X6,X7] :
( r2_hidden(sK15(X6,X7),X7)
| X6 = X7
| v1_int_1(sK15(X6,X7))
| ~ v4_membered(X6) )
| ~ spl28_130
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1048]) ).
fof(f4967,plain,
( spl28_694
| ~ spl28_129
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3081,f2993,f1043,f4965]) ).
fof(f3081,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X5)
| X4 = X5
| v1_xreal_0(sK15(X4,X5))
| ~ v4_membered(X4) )
| ~ spl28_129
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1044]) ).
fof(f4963,plain,
( spl28_693
| ~ spl28_128
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3080,f2993,f1039,f4961]) ).
fof(f3080,plain,
( ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X3)
| X2 = X3
| v1_xcmplx_0(sK15(X2,X3))
| ~ v4_membered(X2) )
| ~ spl28_128
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1040]) ).
fof(f4959,plain,
( spl28_692
| ~ spl28_127
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3079,f2993,f1035,f4957]) ).
fof(f3079,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X1)
| X0 = X1
| sP3(sK15(X0,X1))
| ~ v5_membered(X0) )
| ~ spl28_127
| ~ spl28_421 ),
inference(resolution,[],[f2994,f1036]) ).
fof(f4955,plain,
( spl28_691
| ~ spl28_312
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3078,f2993,f2230,f4953]) ).
fof(f4953,plain,
( spl28_691
<=> ! [X25,X24] :
( m1_subset_1(sK15(X24,sK13(k1_zfmisc_1(X25))),X24)
| sK13(k1_zfmisc_1(X25)) = X24
| ~ v1_xboole_0(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_691])]) ).
fof(f3078,plain,
( ! [X24,X25] :
( m1_subset_1(sK15(X24,sK13(k1_zfmisc_1(X25))),X24)
| sK13(k1_zfmisc_1(X25)) = X24
| ~ v1_xboole_0(X25) )
| ~ spl28_312
| ~ spl28_421 ),
inference(resolution,[],[f2994,f2231]) ).
fof(f4951,plain,
( spl28_690
| ~ spl28_138
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3049,f2985,f1080,f4949]) ).
fof(f3049,plain,
( ! [X21,X20] :
( r2_hidden(sK15(X20,X21),X20)
| X20 = X21
| v1_xcmplx_0(sK15(X20,X21))
| ~ v1_membered(X21) )
| ~ spl28_138
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1081]) ).
fof(f4947,plain,
( spl28_689
| ~ spl28_137
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3048,f2985,f1076,f4945]) ).
fof(f3048,plain,
( ! [X18,X19] :
( r2_hidden(sK15(X18,X19),X18)
| X18 = X19
| v1_xreal_0(sK15(X18,X19))
| ~ v2_membered(X19) )
| ~ spl28_137
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1077]) ).
fof(f4943,plain,
( spl28_688
| ~ spl28_136
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3047,f2985,f1072,f4941]) ).
fof(f3047,plain,
( ! [X16,X17] :
( r2_hidden(sK15(X16,X17),X16)
| X16 = X17
| v1_xcmplx_0(sK15(X16,X17))
| ~ v2_membered(X17) )
| ~ spl28_136
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1073]) ).
fof(f4939,plain,
( spl28_687
| ~ spl28_135
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3046,f2985,f1068,f4937]) ).
fof(f3046,plain,
( ! [X14,X15] :
( r2_hidden(sK15(X14,X15),X14)
| X14 = X15
| v1_rat_1(sK15(X14,X15))
| ~ v3_membered(X15) )
| ~ spl28_135
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1069]) ).
fof(f4935,plain,
( spl28_686
| ~ spl28_134
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3045,f2985,f1064,f4933]) ).
fof(f3045,plain,
( ! [X12,X13] :
( r2_hidden(sK15(X12,X13),X12)
| X12 = X13
| v1_xreal_0(sK15(X12,X13))
| ~ v3_membered(X13) )
| ~ spl28_134
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1065]) ).
fof(f4931,plain,
( spl28_685
| ~ spl28_133
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3044,f2985,f1060,f4929]) ).
fof(f3044,plain,
( ! [X10,X11] :
( r2_hidden(sK15(X10,X11),X10)
| X10 = X11
| v1_xcmplx_0(sK15(X10,X11))
| ~ v3_membered(X11) )
| ~ spl28_133
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1061]) ).
fof(f4927,plain,
( spl28_684
| ~ spl28_132
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3043,f2985,f1056,f4925]) ).
fof(f3043,plain,
( ! [X8,X9] :
( r2_hidden(sK15(X8,X9),X8)
| X8 = X9
| v1_rat_1(sK15(X8,X9))
| ~ v4_membered(X9) )
| ~ spl28_132
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1057]) ).
fof(f4923,plain,
( spl28_683
| ~ spl28_130
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3042,f2985,f1047,f4921]) ).
fof(f3042,plain,
( ! [X6,X7] :
( r2_hidden(sK15(X6,X7),X6)
| X6 = X7
| v1_int_1(sK15(X6,X7))
| ~ v4_membered(X7) )
| ~ spl28_130
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1048]) ).
fof(f4919,plain,
( spl28_682
| ~ spl28_129
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3041,f2985,f1043,f4917]) ).
fof(f3041,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X4)
| X4 = X5
| v1_xreal_0(sK15(X4,X5))
| ~ v4_membered(X5) )
| ~ spl28_129
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1044]) ).
fof(f4915,plain,
( spl28_681
| ~ spl28_128
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3040,f2985,f1039,f4913]) ).
fof(f3040,plain,
( ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X2)
| X2 = X3
| v1_xcmplx_0(sK15(X2,X3))
| ~ v4_membered(X3) )
| ~ spl28_128
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1040]) ).
fof(f4911,plain,
( ~ spl28_680
| spl28_661
| ~ spl28_340
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3896,f3875,f2421,f4719,f4908]) ).
fof(f4908,plain,
( spl28_680
<=> v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_680])]) ).
fof(f3896,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK6))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_340
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2422]) ).
fof(f4906,plain,
( spl28_679
| ~ spl28_127
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3039,f2985,f1035,f4904]) ).
fof(f3039,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X0)
| X0 = X1
| sP3(sK15(X0,X1))
| ~ v5_membered(X1) )
| ~ spl28_127
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1036]) ).
fof(f4902,plain,
( spl28_678
| ~ spl28_312
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3038,f2985,f2230,f4900]) ).
fof(f4900,plain,
( spl28_678
<=> ! [X24,X23] :
( m1_subset_1(sK15(sK13(k1_zfmisc_1(X23)),X24),X24)
| sK13(k1_zfmisc_1(X23)) = X24
| ~ v1_xboole_0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_678])]) ).
fof(f3038,plain,
( ! [X24,X23] :
( m1_subset_1(sK15(sK13(k1_zfmisc_1(X23)),X24),X24)
| sK13(k1_zfmisc_1(X23)) = X24
| ~ v1_xboole_0(X23) )
| ~ spl28_312
| ~ spl28_419 ),
inference(resolution,[],[f2986,f2231]) ).
fof(f4898,plain,
( spl28_677
| ~ spl28_348
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2852,f2744,f2463,f4896]) ).
fof(f4896,plain,
( spl28_677
<=> ! [X20,X21] :
( sK13(k1_zfmisc_1(X21)) = X20
| ~ v1_xboole_0(X20)
| m1_subset_1(sK15(X20,sK13(k1_zfmisc_1(X21))),X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_677])]) ).
fof(f2852,plain,
( ! [X21,X20] :
( sK13(k1_zfmisc_1(X21)) = X20
| ~ v1_xboole_0(X20)
| m1_subset_1(sK15(X20,sK13(k1_zfmisc_1(X21))),X21) )
| ~ spl28_348
| ~ spl28_389 ),
inference(resolution,[],[f2745,f2464]) ).
fof(f4894,plain,
( spl28_676
| ~ spl28_357
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2851,f2744,f2553,f4892]) ).
fof(f4892,plain,
( spl28_676
<=> ! [X18,X19] :
( sK10(X19) = X18
| ~ v1_xboole_0(X18)
| m1_subset_1(sK15(X18,sK10(X19)),X19)
| v1_xboole_0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_676])]) ).
fof(f2851,plain,
( ! [X18,X19] :
( sK10(X19) = X18
| ~ v1_xboole_0(X18)
| m1_subset_1(sK15(X18,sK10(X19)),X19)
| v1_xboole_0(X19) )
| ~ spl28_357
| ~ spl28_389 ),
inference(resolution,[],[f2745,f2554]) ).
fof(f4890,plain,
( spl28_675
| ~ spl28_356
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2850,f2744,f2549,f4888]) ).
fof(f4888,plain,
( spl28_675
<=> ! [X16,X17] :
( sK9(X17) = X16
| ~ v1_xboole_0(X16)
| m1_subset_1(sK15(X16,sK9(X17)),X17)
| v1_xboole_0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_675])]) ).
fof(f2850,plain,
( ! [X16,X17] :
( sK9(X17) = X16
| ~ v1_xboole_0(X16)
| m1_subset_1(sK15(X16,sK9(X17)),X17)
| v1_xboole_0(X17) )
| ~ spl28_356
| ~ spl28_389 ),
inference(resolution,[],[f2745,f2550]) ).
fof(f4886,plain,
( spl28_674
| ~ spl28_348
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2840,f2740,f2463,f4884]) ).
fof(f4884,plain,
( spl28_674
<=> ! [X20,X19] :
( sK13(k1_zfmisc_1(X19)) = X20
| ~ v1_xboole_0(X20)
| m1_subset_1(sK15(sK13(k1_zfmisc_1(X19)),X20),X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_674])]) ).
fof(f2840,plain,
( ! [X19,X20] :
( sK13(k1_zfmisc_1(X19)) = X20
| ~ v1_xboole_0(X20)
| m1_subset_1(sK15(sK13(k1_zfmisc_1(X19)),X20),X19) )
| ~ spl28_348
| ~ spl28_388 ),
inference(resolution,[],[f2741,f2464]) ).
fof(f4882,plain,
( spl28_673
| ~ spl28_357
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2839,f2740,f2553,f4880]) ).
fof(f4880,plain,
( spl28_673
<=> ! [X18,X17] :
( sK10(X17) = X18
| ~ v1_xboole_0(X18)
| m1_subset_1(sK15(sK10(X17),X18),X17)
| v1_xboole_0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_673])]) ).
fof(f2839,plain,
( ! [X18,X17] :
( sK10(X17) = X18
| ~ v1_xboole_0(X18)
| m1_subset_1(sK15(sK10(X17),X18),X17)
| v1_xboole_0(X17) )
| ~ spl28_357
| ~ spl28_388 ),
inference(resolution,[],[f2741,f2554]) ).
fof(f4878,plain,
( spl28_672
| ~ spl28_356
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2838,f2740,f2549,f4876]) ).
fof(f4876,plain,
( spl28_672
<=> ! [X16,X15] :
( sK9(X15) = X16
| ~ v1_xboole_0(X16)
| m1_subset_1(sK15(sK9(X15),X16),X15)
| v1_xboole_0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_672])]) ).
fof(f2838,plain,
( ! [X16,X15] :
( sK9(X15) = X16
| ~ v1_xboole_0(X16)
| m1_subset_1(sK15(sK9(X15),X16),X15)
| v1_xboole_0(X15) )
| ~ spl28_356
| ~ spl28_388 ),
inference(resolution,[],[f2741,f2550]) ).
fof(f4874,plain,
( spl28_671
| ~ spl28_183
| ~ spl28_312 ),
inference(avatar_split_clause,[],[f2311,f2230,f1473,f4872]) ).
fof(f2311,plain,
( ! [X3,X4] :
( ~ v1_xboole_0(X3)
| r2_hidden(sK15(sK13(k1_zfmisc_1(X3)),X4),X4)
| sK13(k1_zfmisc_1(X3)) = X4 )
| ~ spl28_183
| ~ spl28_312 ),
inference(resolution,[],[f2231,f1474]) ).
fof(f4870,plain,
( spl28_670
| ~ spl28_183
| ~ spl28_312 ),
inference(avatar_split_clause,[],[f2310,f2230,f1473,f4868]) ).
fof(f2310,plain,
( ! [X2,X1] :
( ~ v1_xboole_0(X1)
| r2_hidden(sK15(X2,sK13(k1_zfmisc_1(X1))),X2)
| sK13(k1_zfmisc_1(X1)) = X2 )
| ~ spl28_183
| ~ spl28_312 ),
inference(resolution,[],[f2231,f1474]) ).
fof(f4797,plain,
( spl28_669
| ~ spl28_117
| ~ spl28_421 ),
inference(avatar_split_clause,[],[f3069,f2993,f991,f4795]) ).
fof(f4795,plain,
( spl28_669
<=> ! [X4,X5] :
( m1_subset_1(sK15(X4,X5),X4)
| X4 = X5
| ~ r2_hidden(X5,sK15(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_669])]) ).
fof(f3069,plain,
( ! [X4,X5] :
( m1_subset_1(sK15(X4,X5),X4)
| X4 = X5
| ~ r2_hidden(X5,sK15(X4,X5)) )
| ~ spl28_117
| ~ spl28_421 ),
inference(resolution,[],[f2994,f992]) ).
fof(f4793,plain,
( spl28_668
| ~ spl28_117
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3029,f2985,f991,f4791]) ).
fof(f4791,plain,
( spl28_668
<=> ! [X4,X3] :
( m1_subset_1(sK15(X3,X4),X4)
| X3 = X4
| ~ r2_hidden(X3,sK15(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_668])]) ).
fof(f3029,plain,
( ! [X3,X4] :
( m1_subset_1(sK15(X3,X4),X4)
| X3 = X4
| ~ r2_hidden(X3,sK15(X3,X4)) )
| ~ spl28_117
| ~ spl28_419 ),
inference(resolution,[],[f2986,f992]) ).
fof(f4789,plain,
( spl28_667
| ~ spl28_119
| ~ spl28_419 ),
inference(avatar_split_clause,[],[f3028,f2985,f1000,f4787]) ).
fof(f4787,plain,
( spl28_667
<=> ! [X2,X1] :
( m1_subset_1(sK15(X1,X2),X2)
| X1 = X2
| m1_subset_1(sK15(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_667])]) ).
fof(f3028,plain,
( ! [X2,X1] :
( m1_subset_1(sK15(X1,X2),X2)
| X1 = X2
| m1_subset_1(sK15(X1,X2),X1) )
| ~ spl28_119
| ~ spl28_419 ),
inference(resolution,[],[f2986,f1001]) ).
fof(f4785,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| ~ spl28_28
| ~ spl28_666
| ~ spl28_179
| ~ spl28_425 ),
inference(avatar_split_clause,[],[f3026,f3015,f1457,f4782,f588,f668,f663,f628,f593]) ).
fof(f4782,plain,
( spl28_666
<=> v1_xboole_0(a_1_1_lopclset(sK26)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_666])]) ).
fof(f1457,plain,
( spl28_179
<=> ! [X0] :
( ~ v1_xboole_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_179])]) ).
fof(f3026,plain,
( ~ v1_xboole_0(a_1_1_lopclset(sK26))
| ~ l3_lattices(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl28_179
| ~ spl28_425 ),
inference(superposition,[],[f1458,f3017]) ).
fof(f1458,plain,
( ! [X0] :
( ~ v1_xboole_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_179 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f4780,plain,
( spl28_665
| ~ spl28_266
| ~ spl28_417 ),
inference(avatar_split_clause,[],[f2979,f2967,f2013,f4778]) ).
fof(f4778,plain,
( spl28_665
<=> ! [X0] :
( m1_subset_1(sK13(sK11(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_665])]) ).
fof(f2979,plain,
( ! [X0] :
( m1_subset_1(sK13(sK11(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK11(X0)) )
| ~ spl28_266
| ~ spl28_417 ),
inference(resolution,[],[f2968,f2014]) ).
fof(f4776,plain,
( spl28_664
| ~ spl28_195
| ~ spl28_273 ),
inference(avatar_split_clause,[],[f2076,f2042,f1594,f4774]) ).
fof(f4774,plain,
( spl28_664
<=> ! [X0] :
( v1_relat_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_664])]) ).
fof(f2076,plain,
( ! [X0] :
( v1_relat_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_195
| ~ spl28_273 ),
inference(resolution,[],[f2043,f1595]) ).
fof(f4770,plain,
( spl28_663
| ~ spl28_123
| ~ spl28_475 ),
inference(avatar_split_clause,[],[f3465,f3387,f1016,f4768]) ).
fof(f4768,plain,
( spl28_663
<=> ! [X0,X1] :
( ~ v1_funct_1(sK19(X0,X1))
| ~ v1_xboole_0(sK19(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_663])]) ).
fof(f3387,plain,
( spl28_475
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK19(X0,X1))
| ~ v1_funct_1(sK19(X0,X1))
| ~ m1_relset_1(sK19(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_475])]) ).
fof(f3465,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK19(X0,X1))
| ~ v1_xboole_0(sK19(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl28_123
| ~ spl28_475 ),
inference(resolution,[],[f3388,f1017]) ).
fof(f3388,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK19(X0,X1),X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ v1_xboole_0(sK19(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl28_475 ),
inference(avatar_component_clause,[],[f3387]) ).
fof(f4766,plain,
( spl28_662
| ~ spl28_123
| ~ spl28_474 ),
inference(avatar_split_clause,[],[f3464,f3383,f1016,f4764]) ).
fof(f4764,plain,
( spl28_662
<=> ! [X0,X1] :
( ~ v1_funct_1(sK19(X0,X1))
| v1_partfun1(sK19(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_662])]) ).
fof(f3383,plain,
( spl28_474
<=> ! [X0,X1] :
( v1_partfun1(sK19(X0,X1),X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ m1_relset_1(sK19(X0,X1),X0,X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_474])]) ).
fof(f3464,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK19(X0,X1))
| v1_partfun1(sK19(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl28_123
| ~ spl28_474 ),
inference(resolution,[],[f3384,f1017]) ).
fof(f3384,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK19(X0,X1),X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| v1_partfun1(sK19(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl28_474 ),
inference(avatar_component_clause,[],[f3383]) ).
fof(f4722,plain,
( ~ spl28_660
| spl28_661
| ~ spl28_336
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3892,f3875,f2405,f4719,f4715]) ).
fof(f4715,plain,
( spl28_660
<=> v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_660])]) ).
fof(f3892,plain,
( v1_xcmplx_0(a_1_1_lopclset(sK6))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_336
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2406]) ).
fof(f4565,plain,
( spl28_659
| ~ spl28_272
| ~ spl28_416 ),
inference(avatar_split_clause,[],[f2978,f2963,f2038,f4563]) ).
fof(f4563,plain,
( spl28_659
<=> ! [X13,X12,X11] :
( ~ r2_hidden(X11,sK19(X12,X13))
| m1_subset_1(X11,k2_zfmisc_1(X12,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_659])]) ).
fof(f2038,plain,
( spl28_272
<=> ! [X4,X5] : m2_relset_1(sK19(X4,X5),X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_272])]) ).
fof(f2978,plain,
( ! [X11,X12,X13] :
( ~ r2_hidden(X11,sK19(X12,X13))
| m1_subset_1(X11,k2_zfmisc_1(X12,X13)) )
| ~ spl28_272
| ~ spl28_416 ),
inference(resolution,[],[f2964,f2039]) ).
fof(f2039,plain,
( ! [X4,X5] : m2_relset_1(sK19(X4,X5),X4,X5)
| ~ spl28_272 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f4561,plain,
( spl28_658
| ~ spl28_271
| ~ spl28_416 ),
inference(avatar_split_clause,[],[f2977,f2963,f2034,f4559]) ).
fof(f4559,plain,
( spl28_658
<=> ! [X9,X8,X10] :
( ~ r2_hidden(X8,sK18(X9,X10))
| m1_subset_1(X8,k2_zfmisc_1(X9,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_658])]) ).
fof(f2034,plain,
( spl28_271
<=> ! [X2,X3] : m2_relset_1(sK18(X2,X3),X2,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_271])]) ).
fof(f2977,plain,
( ! [X10,X8,X9] :
( ~ r2_hidden(X8,sK18(X9,X10))
| m1_subset_1(X8,k2_zfmisc_1(X9,X10)) )
| ~ spl28_271
| ~ spl28_416 ),
inference(resolution,[],[f2964,f2035]) ).
fof(f2035,plain,
( ! [X2,X3] : m2_relset_1(sK18(X2,X3),X2,X3)
| ~ spl28_271 ),
inference(avatar_component_clause,[],[f2034]) ).
fof(f4557,plain,
( spl28_657
| ~ spl28_269
| ~ spl28_416 ),
inference(avatar_split_clause,[],[f2976,f2963,f2025,f4555]) ).
fof(f4555,plain,
( spl28_657
<=> ! [X6,X5,X7] :
( ~ r2_hidden(X5,sK17(X6,X7))
| m1_subset_1(X5,k2_zfmisc_1(X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_657])]) ).
fof(f2025,plain,
( spl28_269
<=> ! [X0,X1] : m2_relset_1(sK17(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_269])]) ).
fof(f2976,plain,
( ! [X6,X7,X5] :
( ~ r2_hidden(X5,sK17(X6,X7))
| m1_subset_1(X5,k2_zfmisc_1(X6,X7)) )
| ~ spl28_269
| ~ spl28_416 ),
inference(resolution,[],[f2964,f2026]) ).
fof(f2026,plain,
( ! [X0,X1] : m2_relset_1(sK17(X0,X1),X0,X1)
| ~ spl28_269 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f4553,plain,
( spl28_656
| ~ spl28_120
| ~ spl28_416 ),
inference(avatar_split_clause,[],[f2975,f2963,f1004,f4551]) ).
fof(f4551,plain,
( spl28_656
<=> ! [X4,X2,X3] :
( ~ r2_hidden(X2,sK16(X3,X4))
| m1_subset_1(X2,k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_656])]) ).
fof(f1004,plain,
( spl28_120
<=> ! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_120])]) ).
fof(f2975,plain,
( ! [X2,X3,X4] :
( ~ r2_hidden(X2,sK16(X3,X4))
| m1_subset_1(X2,k2_zfmisc_1(X3,X4)) )
| ~ spl28_120
| ~ spl28_416 ),
inference(resolution,[],[f2964,f1005]) ).
fof(f1005,plain,
( ! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1)
| ~ spl28_120 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f4549,plain,
( spl28_655
| ~ spl28_117
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2845,f2744,f991,f4547]) ).
fof(f4547,plain,
( spl28_655
<=> ! [X4,X5] :
( X4 = X5
| ~ v1_xboole_0(X4)
| ~ r2_hidden(X5,sK15(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_655])]) ).
fof(f2845,plain,
( ! [X4,X5] :
( X4 = X5
| ~ v1_xboole_0(X4)
| ~ r2_hidden(X5,sK15(X4,X5)) )
| ~ spl28_117
| ~ spl28_389 ),
inference(resolution,[],[f2745,f992]) ).
fof(f4545,plain,
( spl28_654
| ~ spl28_119
| ~ spl28_389 ),
inference(avatar_split_clause,[],[f2844,f2744,f1000,f4543]) ).
fof(f4543,plain,
( spl28_654
<=> ! [X2,X3] :
( X2 = X3
| ~ v1_xboole_0(X2)
| m1_subset_1(sK15(X2,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_654])]) ).
fof(f2844,plain,
( ! [X2,X3] :
( X2 = X3
| ~ v1_xboole_0(X2)
| m1_subset_1(sK15(X2,X3),X3) )
| ~ spl28_119
| ~ spl28_389 ),
inference(resolution,[],[f2745,f1001]) ).
fof(f4541,plain,
( spl28_653
| ~ spl28_117
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2833,f2740,f991,f4539]) ).
fof(f4539,plain,
( spl28_653
<=> ! [X4,X3] :
( X3 = X4
| ~ v1_xboole_0(X4)
| ~ r2_hidden(X3,sK15(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_653])]) ).
fof(f2833,plain,
( ! [X3,X4] :
( X3 = X4
| ~ v1_xboole_0(X4)
| ~ r2_hidden(X3,sK15(X3,X4)) )
| ~ spl28_117
| ~ spl28_388 ),
inference(resolution,[],[f2741,f992]) ).
fof(f4537,plain,
( spl28_652
| ~ spl28_119
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2832,f2740,f1000,f4535]) ).
fof(f4535,plain,
( spl28_652
<=> ! [X2,X1] :
( X1 = X2
| ~ v1_xboole_0(X2)
| m1_subset_1(sK15(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_652])]) ).
fof(f2832,plain,
( ! [X2,X1] :
( X1 = X2
| ~ v1_xboole_0(X2)
| m1_subset_1(sK15(X1,X2),X1) )
| ~ spl28_119
| ~ spl28_388 ),
inference(resolution,[],[f2741,f1001]) ).
fof(f4533,plain,
( spl28_651
| ~ spl28_117
| ~ spl28_362 ),
inference(avatar_split_clause,[],[f2755,f2635,f991,f4531]) ).
fof(f4531,plain,
( spl28_651
<=> ! [X1] :
( v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(k1_zfmisc_1(X1),sK10(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_651])]) ).
fof(f2755,plain,
( ! [X1] :
( v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(k1_zfmisc_1(X1),sK10(X1)) )
| ~ spl28_117
| ~ spl28_362 ),
inference(resolution,[],[f2636,f992]) ).
fof(f4529,plain,
( spl28_650
| ~ spl28_117
| ~ spl28_361 ),
inference(avatar_split_clause,[],[f2752,f2631,f991,f4527]) ).
fof(f4527,plain,
( spl28_650
<=> ! [X1] :
( v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(k1_zfmisc_1(X1),sK9(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_650])]) ).
fof(f2752,plain,
( ! [X1] :
( v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(k1_zfmisc_1(X1),sK9(X1)) )
| ~ spl28_117
| ~ spl28_361 ),
inference(resolution,[],[f2632,f992]) ).
fof(f4525,plain,
( spl28_649
| ~ spl28_117
| ~ spl28_360 ),
inference(avatar_split_clause,[],[f2748,f2627,f991,f4523]) ).
fof(f2748,plain,
( ! [X2,X3] :
( v1_xboole_0(k1_zfmisc_1(X2))
| ~ r1_tarski(X3,X2)
| ~ r2_hidden(k1_zfmisc_1(X2),X3) )
| ~ spl28_117
| ~ spl28_360 ),
inference(resolution,[],[f2628,f992]) ).
fof(f4521,plain,
( spl28_648
| ~ spl28_266
| ~ spl28_357 ),
inference(avatar_split_clause,[],[f2623,f2553,f2013,f4519]) ).
fof(f4519,plain,
( spl28_648
<=> ! [X0] :
( m1_subset_1(sK13(sK10(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_648])]) ).
fof(f2623,plain,
( ! [X0] :
( m1_subset_1(sK13(sK10(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK10(X0)) )
| ~ spl28_266
| ~ spl28_357 ),
inference(resolution,[],[f2554,f2014]) ).
fof(f4517,plain,
( spl28_647
| ~ spl28_266
| ~ spl28_356 ),
inference(avatar_split_clause,[],[f2620,f2549,f2013,f4515]) ).
fof(f4515,plain,
( spl28_647
<=> ! [X0] :
( m1_subset_1(sK13(sK9(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_647])]) ).
fof(f2620,plain,
( ! [X0] :
( m1_subset_1(sK13(sK9(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK9(X0)) )
| ~ spl28_266
| ~ spl28_356 ),
inference(resolution,[],[f2550,f2014]) ).
fof(f4513,plain,
( spl28_646
| ~ spl28_266
| ~ spl28_348 ),
inference(avatar_split_clause,[],[f2520,f2463,f2013,f4511]) ).
fof(f4511,plain,
( spl28_646
<=> ! [X0] :
( m1_subset_1(sK13(sK13(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK13(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_646])]) ).
fof(f2520,plain,
( ! [X0] :
( m1_subset_1(sK13(sK13(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK13(k1_zfmisc_1(X0))) )
| ~ spl28_266
| ~ spl28_348 ),
inference(resolution,[],[f2464,f2014]) ).
fof(f4467,plain,
( spl28_645
| ~ spl28_272
| ~ spl28_403 ),
inference(avatar_split_clause,[],[f2961,f2905,f2038,f4465]) ).
fof(f2961,plain,
( ! [X11,X12,X13] :
( ~ v1_xboole_0(k2_zfmisc_1(X11,X12))
| ~ r2_hidden(X13,sK19(X11,X12)) )
| ~ spl28_272
| ~ spl28_403 ),
inference(resolution,[],[f2906,f2039]) ).
fof(f4463,plain,
( ~ spl28_643
| spl28_644
| ~ spl28_335
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3891,f3875,f2401,f4460,f4456]) ).
fof(f4456,plain,
( spl28_643
<=> v5_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_643])]) ).
fof(f4460,plain,
( spl28_644
<=> sP3(a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_644])]) ).
fof(f3891,plain,
( sP3(a_1_1_lopclset(sK6))
| ~ v5_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl28_335
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2402]) ).
fof(f4454,plain,
( spl28_642
| ~ spl28_271
| ~ spl28_403 ),
inference(avatar_split_clause,[],[f2960,f2905,f2034,f4452]) ).
fof(f2960,plain,
( ! [X10,X8,X9] :
( ~ v1_xboole_0(k2_zfmisc_1(X8,X9))
| ~ r2_hidden(X10,sK18(X8,X9)) )
| ~ spl28_271
| ~ spl28_403 ),
inference(resolution,[],[f2906,f2035]) ).
fof(f4450,plain,
( spl28_641
| ~ spl28_269
| ~ spl28_403 ),
inference(avatar_split_clause,[],[f2959,f2905,f2025,f4448]) ).
fof(f2959,plain,
( ! [X6,X7,X5] :
( ~ v1_xboole_0(k2_zfmisc_1(X5,X6))
| ~ r2_hidden(X7,sK17(X5,X6)) )
| ~ spl28_269
| ~ spl28_403 ),
inference(resolution,[],[f2906,f2026]) ).
fof(f4446,plain,
( spl28_640
| ~ spl28_120
| ~ spl28_403 ),
inference(avatar_split_clause,[],[f2958,f2905,f1004,f4444]) ).
fof(f2958,plain,
( ! [X2,X3,X4] :
( ~ v1_xboole_0(k2_zfmisc_1(X2,X3))
| ~ r2_hidden(X4,sK16(X2,X3)) )
| ~ spl28_120
| ~ spl28_403 ),
inference(resolution,[],[f2906,f1005]) ).
fof(f4442,plain,
( spl28_639
| ~ spl28_312
| ~ spl28_388 ),
inference(avatar_split_clause,[],[f2841,f2740,f2230,f4440]) ).
fof(f4440,plain,
( spl28_639
<=> ! [X22,X21] :
( sK13(k1_zfmisc_1(X21)) = X22
| ~ v1_xboole_0(X22)
| ~ v1_xboole_0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_639])]) ).
fof(f2841,plain,
( ! [X21,X22] :
( sK13(k1_zfmisc_1(X21)) = X22
| ~ v1_xboole_0(X22)
| ~ v1_xboole_0(X21) )
| ~ spl28_312
| ~ spl28_388 ),
inference(resolution,[],[f2741,f2231]) ).
fof(f4438,plain,
( spl28_596
| ~ spl28_638
| ~ spl28_308
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3890,f3875,f2214,f4435,f4260]) ).
fof(f4260,plain,
( spl28_596
<=> v1_membered(a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_596])]) ).
fof(f4435,plain,
( spl28_638
<=> v1_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_638])]) ).
fof(f3890,plain,
( ~ v1_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| v1_membered(a_1_1_lopclset(sK6))
| ~ spl28_308
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2215]) ).
fof(f4433,plain,
( spl28_596
| ~ spl28_637
| ~ spl28_302
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3888,f3875,f2188,f4430,f4260]) ).
fof(f4430,plain,
( spl28_637
<=> v2_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_637])]) ).
fof(f3888,plain,
( ~ v2_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| v1_membered(a_1_1_lopclset(sK6))
| ~ spl28_302
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2189]) ).
fof(f4424,plain,
( spl28_636
| ~ spl28_272
| ~ spl28_387 ),
inference(avatar_split_clause,[],[f2830,f2736,f2038,f4422]) ).
fof(f4422,plain,
( spl28_636
<=> ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v1_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_636])]) ).
fof(f2830,plain,
( ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v1_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_387 ),
inference(resolution,[],[f2737,f2039]) ).
fof(f4420,plain,
( spl28_635
| ~ spl28_271
| ~ spl28_387 ),
inference(avatar_split_clause,[],[f2829,f2736,f2034,f4418]) ).
fof(f4418,plain,
( spl28_635
<=> ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v1_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_635])]) ).
fof(f2829,plain,
( ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v1_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_387 ),
inference(resolution,[],[f2737,f2035]) ).
fof(f4416,plain,
( spl28_634
| ~ spl28_269
| ~ spl28_387 ),
inference(avatar_split_clause,[],[f2828,f2736,f2025,f4414]) ).
fof(f4414,plain,
( spl28_634
<=> ! [X4,X3] :
( v1_membered(sK17(X3,X4))
| ~ v1_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_634])]) ).
fof(f2828,plain,
( ! [X3,X4] :
( v1_membered(sK17(X3,X4))
| ~ v1_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_387 ),
inference(resolution,[],[f2737,f2026]) ).
fof(f4412,plain,
( spl28_633
| ~ spl28_120
| ~ spl28_387 ),
inference(avatar_split_clause,[],[f2827,f2736,f1004,f4410]) ).
fof(f4410,plain,
( spl28_633
<=> ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v1_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_633])]) ).
fof(f2827,plain,
( ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v1_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_387 ),
inference(resolution,[],[f2737,f1005]) ).
fof(f4408,plain,
( spl28_632
| ~ spl28_272
| ~ spl28_385 ),
inference(avatar_split_clause,[],[f2825,f2727,f2038,f4406]) ).
fof(f4406,plain,
( spl28_632
<=> ! [X8,X7] :
( v2_membered(sK19(X7,X8))
| ~ v2_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_632])]) ).
fof(f2825,plain,
( ! [X8,X7] :
( v2_membered(sK19(X7,X8))
| ~ v2_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_385 ),
inference(resolution,[],[f2728,f2039]) ).
fof(f4404,plain,
( spl28_631
| ~ spl28_271
| ~ spl28_385 ),
inference(avatar_split_clause,[],[f2824,f2727,f2034,f4402]) ).
fof(f4402,plain,
( spl28_631
<=> ! [X6,X5] :
( v2_membered(sK18(X5,X6))
| ~ v2_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_631])]) ).
fof(f2824,plain,
( ! [X6,X5] :
( v2_membered(sK18(X5,X6))
| ~ v2_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_385 ),
inference(resolution,[],[f2728,f2035]) ).
fof(f4400,plain,
( spl28_630
| ~ spl28_269
| ~ spl28_385 ),
inference(avatar_split_clause,[],[f2823,f2727,f2025,f4398]) ).
fof(f4398,plain,
( spl28_630
<=> ! [X4,X3] :
( v2_membered(sK17(X3,X4))
| ~ v2_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_630])]) ).
fof(f2823,plain,
( ! [X3,X4] :
( v2_membered(sK17(X3,X4))
| ~ v2_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_385 ),
inference(resolution,[],[f2728,f2026]) ).
fof(f4396,plain,
( spl28_629
| ~ spl28_120
| ~ spl28_385 ),
inference(avatar_split_clause,[],[f2822,f2727,f1004,f4394]) ).
fof(f4394,plain,
( spl28_629
<=> ! [X2,X1] :
( v2_membered(sK16(X1,X2))
| ~ v2_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_629])]) ).
fof(f2822,plain,
( ! [X2,X1] :
( v2_membered(sK16(X1,X2))
| ~ v2_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_385 ),
inference(resolution,[],[f2728,f1005]) ).
fof(f4392,plain,
( spl28_596
| ~ spl28_628
| ~ spl28_293
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3885,f3875,f2152,f4389,f4260]) ).
fof(f4389,plain,
( spl28_628
<=> v3_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_628])]) ).
fof(f3885,plain,
( ~ v3_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| v1_membered(a_1_1_lopclset(sK6))
| ~ spl28_293
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2153]) ).
fof(f4387,plain,
( spl28_627
| ~ spl28_272
| ~ spl28_384 ),
inference(avatar_split_clause,[],[f2820,f2723,f2038,f4385]) ).
fof(f4385,plain,
( spl28_627
<=> ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v2_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_627])]) ).
fof(f2820,plain,
( ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v2_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_384 ),
inference(resolution,[],[f2724,f2039]) ).
fof(f4383,plain,
( spl28_626
| ~ spl28_271
| ~ spl28_384 ),
inference(avatar_split_clause,[],[f2819,f2723,f2034,f4381]) ).
fof(f4381,plain,
( spl28_626
<=> ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v2_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_626])]) ).
fof(f2819,plain,
( ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v2_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_384 ),
inference(resolution,[],[f2724,f2035]) ).
fof(f4379,plain,
( spl28_625
| ~ spl28_269
| ~ spl28_384 ),
inference(avatar_split_clause,[],[f2818,f2723,f2025,f4377]) ).
fof(f4377,plain,
( spl28_625
<=> ! [X4,X3] :
( v1_membered(sK17(X3,X4))
| ~ v2_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_625])]) ).
fof(f2818,plain,
( ! [X3,X4] :
( v1_membered(sK17(X3,X4))
| ~ v2_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_384 ),
inference(resolution,[],[f2724,f2026]) ).
fof(f4375,plain,
( spl28_624
| ~ spl28_120
| ~ spl28_384 ),
inference(avatar_split_clause,[],[f2817,f2723,f1004,f4373]) ).
fof(f4373,plain,
( spl28_624
<=> ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v2_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_624])]) ).
fof(f2817,plain,
( ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v2_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_384 ),
inference(resolution,[],[f2724,f1005]) ).
fof(f4371,plain,
( spl28_623
| ~ spl28_272
| ~ spl28_383 ),
inference(avatar_split_clause,[],[f2815,f2719,f2038,f4369]) ).
fof(f4369,plain,
( spl28_623
<=> ! [X8,X7] :
( v3_membered(sK19(X7,X8))
| ~ v3_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_623])]) ).
fof(f2815,plain,
( ! [X8,X7] :
( v3_membered(sK19(X7,X8))
| ~ v3_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_383 ),
inference(resolution,[],[f2720,f2039]) ).
fof(f4367,plain,
( spl28_622
| ~ spl28_271
| ~ spl28_383 ),
inference(avatar_split_clause,[],[f2814,f2719,f2034,f4365]) ).
fof(f4365,plain,
( spl28_622
<=> ! [X6,X5] :
( v3_membered(sK18(X5,X6))
| ~ v3_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_622])]) ).
fof(f2814,plain,
( ! [X6,X5] :
( v3_membered(sK18(X5,X6))
| ~ v3_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_383 ),
inference(resolution,[],[f2720,f2035]) ).
fof(f4363,plain,
( spl28_621
| ~ spl28_269
| ~ spl28_383 ),
inference(avatar_split_clause,[],[f2813,f2719,f2025,f4361]) ).
fof(f4361,plain,
( spl28_621
<=> ! [X4,X3] :
( v3_membered(sK17(X3,X4))
| ~ v3_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_621])]) ).
fof(f2813,plain,
( ! [X3,X4] :
( v3_membered(sK17(X3,X4))
| ~ v3_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_383 ),
inference(resolution,[],[f2720,f2026]) ).
fof(f4359,plain,
( spl28_620
| ~ spl28_120
| ~ spl28_383 ),
inference(avatar_split_clause,[],[f2812,f2719,f1004,f4357]) ).
fof(f4357,plain,
( spl28_620
<=> ! [X2,X1] :
( v3_membered(sK16(X1,X2))
| ~ v3_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_620])]) ).
fof(f2812,plain,
( ! [X2,X1] :
( v3_membered(sK16(X1,X2))
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_383 ),
inference(resolution,[],[f2720,f1005]) ).
fof(f4355,plain,
( spl28_619
| ~ spl28_272
| ~ spl28_382 ),
inference(avatar_split_clause,[],[f2810,f2715,f2038,f4353]) ).
fof(f4353,plain,
( spl28_619
<=> ! [X8,X7] :
( v2_membered(sK19(X7,X8))
| ~ v3_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_619])]) ).
fof(f2810,plain,
( ! [X8,X7] :
( v2_membered(sK19(X7,X8))
| ~ v3_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_382 ),
inference(resolution,[],[f2716,f2039]) ).
fof(f4351,plain,
( spl28_618
| ~ spl28_271
| ~ spl28_382 ),
inference(avatar_split_clause,[],[f2809,f2715,f2034,f4349]) ).
fof(f4349,plain,
( spl28_618
<=> ! [X6,X5] :
( v2_membered(sK18(X5,X6))
| ~ v3_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_618])]) ).
fof(f2809,plain,
( ! [X6,X5] :
( v2_membered(sK18(X5,X6))
| ~ v3_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_382 ),
inference(resolution,[],[f2716,f2035]) ).
fof(f4347,plain,
( spl28_617
| ~ spl28_269
| ~ spl28_382 ),
inference(avatar_split_clause,[],[f2808,f2715,f2025,f4345]) ).
fof(f4345,plain,
( spl28_617
<=> ! [X4,X3] :
( v2_membered(sK17(X3,X4))
| ~ v3_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_617])]) ).
fof(f2808,plain,
( ! [X3,X4] :
( v2_membered(sK17(X3,X4))
| ~ v3_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_382 ),
inference(resolution,[],[f2716,f2026]) ).
fof(f4343,plain,
( spl28_616
| ~ spl28_120
| ~ spl28_382 ),
inference(avatar_split_clause,[],[f2807,f2715,f1004,f4341]) ).
fof(f4341,plain,
( spl28_616
<=> ! [X2,X1] :
( v2_membered(sK16(X1,X2))
| ~ v3_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_616])]) ).
fof(f2807,plain,
( ! [X2,X1] :
( v2_membered(sK16(X1,X2))
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_382 ),
inference(resolution,[],[f2716,f1005]) ).
fof(f4339,plain,
( spl28_615
| ~ spl28_272
| ~ spl28_381 ),
inference(avatar_split_clause,[],[f2805,f2711,f2038,f4337]) ).
fof(f4337,plain,
( spl28_615
<=> ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v3_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_615])]) ).
fof(f2805,plain,
( ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v3_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_381 ),
inference(resolution,[],[f2712,f2039]) ).
fof(f4335,plain,
( spl28_614
| ~ spl28_271
| ~ spl28_381 ),
inference(avatar_split_clause,[],[f2804,f2711,f2034,f4333]) ).
fof(f4333,plain,
( spl28_614
<=> ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v3_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_614])]) ).
fof(f2804,plain,
( ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v3_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_381 ),
inference(resolution,[],[f2712,f2035]) ).
fof(f4331,plain,
( spl28_613
| ~ spl28_269
| ~ spl28_381 ),
inference(avatar_split_clause,[],[f2803,f2711,f2025,f4329]) ).
fof(f4329,plain,
( spl28_613
<=> ! [X4,X3] :
( v1_membered(sK17(X3,X4))
| ~ v3_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_613])]) ).
fof(f2803,plain,
( ! [X3,X4] :
( v1_membered(sK17(X3,X4))
| ~ v3_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_381 ),
inference(resolution,[],[f2712,f2026]) ).
fof(f4327,plain,
( spl28_612
| ~ spl28_120
| ~ spl28_381 ),
inference(avatar_split_clause,[],[f2802,f2711,f1004,f4325]) ).
fof(f4325,plain,
( spl28_612
<=> ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v3_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_612])]) ).
fof(f2802,plain,
( ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_381 ),
inference(resolution,[],[f2712,f1005]) ).
fof(f4323,plain,
( spl28_611
| ~ spl28_272
| ~ spl28_380 ),
inference(avatar_split_clause,[],[f2800,f2707,f2038,f4321]) ).
fof(f4321,plain,
( spl28_611
<=> ! [X8,X7] :
( v4_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_611])]) ).
fof(f2800,plain,
( ! [X8,X7] :
( v4_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_380 ),
inference(resolution,[],[f2708,f2039]) ).
fof(f4319,plain,
( spl28_610
| ~ spl28_271
| ~ spl28_380 ),
inference(avatar_split_clause,[],[f2799,f2707,f2034,f4317]) ).
fof(f4317,plain,
( spl28_610
<=> ! [X6,X5] :
( v4_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_610])]) ).
fof(f2799,plain,
( ! [X6,X5] :
( v4_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_380 ),
inference(resolution,[],[f2708,f2035]) ).
fof(f4315,plain,
( spl28_609
| ~ spl28_269
| ~ spl28_380 ),
inference(avatar_split_clause,[],[f2798,f2707,f2025,f4313]) ).
fof(f4313,plain,
( spl28_609
<=> ! [X4,X3] :
( v4_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_609])]) ).
fof(f2798,plain,
( ! [X3,X4] :
( v4_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_380 ),
inference(resolution,[],[f2708,f2026]) ).
fof(f4311,plain,
( spl28_608
| ~ spl28_120
| ~ spl28_380 ),
inference(avatar_split_clause,[],[f2797,f2707,f1004,f4309]) ).
fof(f4309,plain,
( spl28_608
<=> ! [X2,X1] :
( v4_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_608])]) ).
fof(f2797,plain,
( ! [X2,X1] :
( v4_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_380 ),
inference(resolution,[],[f2708,f1005]) ).
fof(f4307,plain,
( spl28_607
| ~ spl28_272
| ~ spl28_379 ),
inference(avatar_split_clause,[],[f2795,f2703,f2038,f4305]) ).
fof(f4305,plain,
( spl28_607
<=> ! [X8,X7] :
( v3_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_607])]) ).
fof(f2795,plain,
( ! [X8,X7] :
( v3_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_379 ),
inference(resolution,[],[f2704,f2039]) ).
fof(f4303,plain,
( spl28_606
| ~ spl28_271
| ~ spl28_379 ),
inference(avatar_split_clause,[],[f2794,f2703,f2034,f4301]) ).
fof(f4301,plain,
( spl28_606
<=> ! [X6,X5] :
( v3_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_606])]) ).
fof(f2794,plain,
( ! [X6,X5] :
( v3_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_379 ),
inference(resolution,[],[f2704,f2035]) ).
fof(f4299,plain,
( spl28_605
| ~ spl28_269
| ~ spl28_379 ),
inference(avatar_split_clause,[],[f2793,f2703,f2025,f4297]) ).
fof(f4297,plain,
( spl28_605
<=> ! [X4,X3] :
( v3_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_605])]) ).
fof(f2793,plain,
( ! [X3,X4] :
( v3_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_379 ),
inference(resolution,[],[f2704,f2026]) ).
fof(f4295,plain,
( spl28_604
| ~ spl28_120
| ~ spl28_379 ),
inference(avatar_split_clause,[],[f2792,f2703,f1004,f4293]) ).
fof(f4293,plain,
( spl28_604
<=> ! [X2,X1] :
( v3_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_604])]) ).
fof(f2792,plain,
( ! [X2,X1] :
( v3_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_379 ),
inference(resolution,[],[f2704,f1005]) ).
fof(f4291,plain,
( spl28_603
| ~ spl28_272
| ~ spl28_378 ),
inference(avatar_split_clause,[],[f2790,f2699,f2038,f4289]) ).
fof(f4289,plain,
( spl28_603
<=> ! [X8,X7] :
( v2_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_603])]) ).
fof(f2790,plain,
( ! [X8,X7] :
( v2_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_378 ),
inference(resolution,[],[f2700,f2039]) ).
fof(f4287,plain,
( spl28_602
| ~ spl28_271
| ~ spl28_378 ),
inference(avatar_split_clause,[],[f2789,f2699,f2034,f4285]) ).
fof(f4285,plain,
( spl28_602
<=> ! [X6,X5] :
( v2_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_602])]) ).
fof(f2789,plain,
( ! [X6,X5] :
( v2_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_378 ),
inference(resolution,[],[f2700,f2035]) ).
fof(f4283,plain,
( spl28_601
| ~ spl28_269
| ~ spl28_378 ),
inference(avatar_split_clause,[],[f2788,f2699,f2025,f4281]) ).
fof(f4281,plain,
( spl28_601
<=> ! [X4,X3] :
( v2_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_601])]) ).
fof(f2788,plain,
( ! [X3,X4] :
( v2_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_378 ),
inference(resolution,[],[f2700,f2026]) ).
fof(f4279,plain,
( spl28_600
| ~ spl28_120
| ~ spl28_378 ),
inference(avatar_split_clause,[],[f2787,f2699,f1004,f4277]) ).
fof(f4277,plain,
( spl28_600
<=> ! [X2,X1] :
( v2_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_600])]) ).
fof(f2787,plain,
( ! [X2,X1] :
( v2_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_378 ),
inference(resolution,[],[f2700,f1005]) ).
fof(f4275,plain,
( spl28_599
| ~ spl28_272
| ~ spl28_377 ),
inference(avatar_split_clause,[],[f2785,f2695,f2038,f4273]) ).
fof(f4273,plain,
( spl28_599
<=> ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_599])]) ).
fof(f2785,plain,
( ! [X8,X7] :
( v1_membered(sK19(X7,X8))
| ~ v4_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_377 ),
inference(resolution,[],[f2696,f2039]) ).
fof(f4271,plain,
( spl28_598
| ~ spl28_271
| ~ spl28_377 ),
inference(avatar_split_clause,[],[f2784,f2695,f2034,f4269]) ).
fof(f4269,plain,
( spl28_598
<=> ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_598])]) ).
fof(f2784,plain,
( ! [X6,X5] :
( v1_membered(sK18(X5,X6))
| ~ v4_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_377 ),
inference(resolution,[],[f2696,f2035]) ).
fof(f4267,plain,
( spl28_596
| ~ spl28_597
| ~ spl28_280
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3881,f3875,f2098,f4264,f4260]) ).
fof(f4264,plain,
( spl28_597
<=> v4_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_597])]) ).
fof(f3881,plain,
( ~ v4_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| v1_membered(a_1_1_lopclset(sK6))
| ~ spl28_280
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2099]) ).
fof(f4258,plain,
( spl28_595
| ~ spl28_269
| ~ spl28_377 ),
inference(avatar_split_clause,[],[f2783,f2695,f2025,f4256]) ).
fof(f4256,plain,
( spl28_595
<=> ! [X4,X3] :
( v1_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_595])]) ).
fof(f2783,plain,
( ! [X3,X4] :
( v1_membered(sK17(X3,X4))
| ~ v4_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_377 ),
inference(resolution,[],[f2696,f2026]) ).
fof(f4254,plain,
( spl28_594
| ~ spl28_120
| ~ spl28_377 ),
inference(avatar_split_clause,[],[f2782,f2695,f1004,f4252]) ).
fof(f4252,plain,
( spl28_594
<=> ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_594])]) ).
fof(f2782,plain,
( ! [X2,X1] :
( v1_membered(sK16(X1,X2))
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_377 ),
inference(resolution,[],[f2696,f1005]) ).
fof(f4250,plain,
( spl28_593
| ~ spl28_272
| ~ spl28_376 ),
inference(avatar_split_clause,[],[f2775,f2691,f2038,f4248]) ).
fof(f2775,plain,
( ! [X8,X7] :
( v1_finset_1(sK19(X7,X8))
| ~ v1_finset_1(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_376 ),
inference(resolution,[],[f2692,f2039]) ).
fof(f4246,plain,
( spl28_592
| ~ spl28_271
| ~ spl28_376 ),
inference(avatar_split_clause,[],[f2774,f2691,f2034,f4244]) ).
fof(f2774,plain,
( ! [X6,X5] :
( v1_finset_1(sK18(X5,X6))
| ~ v1_finset_1(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_376 ),
inference(resolution,[],[f2692,f2035]) ).
fof(f4242,plain,
( spl28_591
| ~ spl28_269
| ~ spl28_376 ),
inference(avatar_split_clause,[],[f2773,f2691,f2025,f4240]) ).
fof(f2773,plain,
( ! [X3,X4] :
( v1_finset_1(sK17(X3,X4))
| ~ v1_finset_1(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_376 ),
inference(resolution,[],[f2692,f2026]) ).
fof(f4238,plain,
( spl28_590
| ~ spl28_120
| ~ spl28_376 ),
inference(avatar_split_clause,[],[f2772,f2691,f1004,f4236]) ).
fof(f2772,plain,
( ! [X2,X1] :
( v1_finset_1(sK16(X1,X2))
| ~ v1_finset_1(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_376 ),
inference(resolution,[],[f2692,f1005]) ).
fof(f4234,plain,
( spl28_589
| ~ spl28_272
| ~ spl28_375 ),
inference(avatar_split_clause,[],[f2770,f2687,f2038,f4232]) ).
fof(f4232,plain,
( spl28_589
<=> ! [X8,X7] :
( sP4(sK19(X7,X8))
| ~ v5_membered(k2_zfmisc_1(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_589])]) ).
fof(f2770,plain,
( ! [X8,X7] :
( sP4(sK19(X7,X8))
| ~ v5_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_272
| ~ spl28_375 ),
inference(resolution,[],[f2688,f2039]) ).
fof(f4230,plain,
( spl28_588
| ~ spl28_271
| ~ spl28_375 ),
inference(avatar_split_clause,[],[f2769,f2687,f2034,f4228]) ).
fof(f4228,plain,
( spl28_588
<=> ! [X6,X5] :
( sP4(sK18(X5,X6))
| ~ v5_membered(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_588])]) ).
fof(f2769,plain,
( ! [X6,X5] :
( sP4(sK18(X5,X6))
| ~ v5_membered(k2_zfmisc_1(X5,X6)) )
| ~ spl28_271
| ~ spl28_375 ),
inference(resolution,[],[f2688,f2035]) ).
fof(f4226,plain,
( spl28_587
| ~ spl28_269
| ~ spl28_375 ),
inference(avatar_split_clause,[],[f2768,f2687,f2025,f4224]) ).
fof(f4224,plain,
( spl28_587
<=> ! [X4,X3] :
( sP4(sK17(X3,X4))
| ~ v5_membered(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_587])]) ).
fof(f2768,plain,
( ! [X3,X4] :
( sP4(sK17(X3,X4))
| ~ v5_membered(k2_zfmisc_1(X3,X4)) )
| ~ spl28_269
| ~ spl28_375 ),
inference(resolution,[],[f2688,f2026]) ).
fof(f4222,plain,
( spl28_586
| ~ spl28_120
| ~ spl28_375 ),
inference(avatar_split_clause,[],[f2767,f2687,f1004,f4220]) ).
fof(f4220,plain,
( spl28_586
<=> ! [X2,X1] :
( sP4(sK16(X1,X2))
| ~ v5_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_586])]) ).
fof(f2767,plain,
( ! [X2,X1] :
( sP4(sK16(X1,X2))
| ~ v5_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl28_120
| ~ spl28_375 ),
inference(resolution,[],[f2688,f1005]) ).
fof(f4207,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_585
| ~ spl28_205
| ~ spl28_226 ),
inference(avatar_split_clause,[],[f1818,f1814,f1678,f4205,f473,f468,f463,f458,f453]) ).
fof(f1814,plain,
( spl28_226
<=> k9_lopclset(sK6) = k8_lopclset(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_226])]) ).
fof(f1818,plain,
( ! [X0,X1] :
( r2_hidden(X0,k1_funct_1(k9_lopclset(sK6),X1))
| ~ r2_hidden(X1,X0)
| ~ v1_filter_0(X0,sK6)
| ~ m1_filter_0(X0,sK6)
| ~ m1_subset_1(X1,u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6) )
| ~ spl28_205
| ~ spl28_226 ),
inference(superposition,[],[f1679,f1816]) ).
fof(f1816,plain,
( k9_lopclset(sK6) = k8_lopclset(sK6)
| ~ spl28_226 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f4187,plain,
( spl28_584
| ~ spl28_87
| ~ spl28_278 ),
inference(avatar_split_clause,[],[f2247,f2090,f844,f4185]) ).
fof(f4185,plain,
( spl28_584
<=> ! [X4] :
( ~ v5_membered(X4)
| v1_xboole_0(X4)
| v1_membered(sK10(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_584])]) ).
fof(f2090,plain,
( spl28_278
<=> ! [X3] :
( sP4(sK10(X3))
| ~ v5_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_278])]) ).
fof(f2247,plain,
( ! [X4] :
( ~ v5_membered(X4)
| v1_xboole_0(X4)
| v1_membered(sK10(X4)) )
| ~ spl28_87
| ~ spl28_278 ),
inference(resolution,[],[f2091,f845]) ).
fof(f2091,plain,
( ! [X3] :
( sP4(sK10(X3))
| ~ v5_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_278 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f4183,plain,
( spl28_583
| ~ spl28_88
| ~ spl28_278 ),
inference(avatar_split_clause,[],[f2246,f2090,f848,f4181]) ).
fof(f4181,plain,
( spl28_583
<=> ! [X3] :
( ~ v5_membered(X3)
| v1_xboole_0(X3)
| v2_membered(sK10(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_583])]) ).
fof(f2246,plain,
( ! [X3] :
( ~ v5_membered(X3)
| v1_xboole_0(X3)
| v2_membered(sK10(X3)) )
| ~ spl28_88
| ~ spl28_278 ),
inference(resolution,[],[f2091,f849]) ).
fof(f4179,plain,
( spl28_582
| ~ spl28_89
| ~ spl28_278 ),
inference(avatar_split_clause,[],[f2245,f2090,f852,f4177]) ).
fof(f4177,plain,
( spl28_582
<=> ! [X2] :
( ~ v5_membered(X2)
| v1_xboole_0(X2)
| v3_membered(sK10(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_582])]) ).
fof(f2245,plain,
( ! [X2] :
( ~ v5_membered(X2)
| v1_xboole_0(X2)
| v3_membered(sK10(X2)) )
| ~ spl28_89
| ~ spl28_278 ),
inference(resolution,[],[f2091,f853]) ).
fof(f4175,plain,
( spl28_581
| ~ spl28_90
| ~ spl28_278 ),
inference(avatar_split_clause,[],[f2244,f2090,f856,f4173]) ).
fof(f4173,plain,
( spl28_581
<=> ! [X1] :
( ~ v5_membered(X1)
| v1_xboole_0(X1)
| v4_membered(sK10(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_581])]) ).
fof(f2244,plain,
( ! [X1] :
( ~ v5_membered(X1)
| v1_xboole_0(X1)
| v4_membered(sK10(X1)) )
| ~ spl28_90
| ~ spl28_278 ),
inference(resolution,[],[f2091,f857]) ).
fof(f4171,plain,
( spl28_580
| ~ spl28_91
| ~ spl28_278 ),
inference(avatar_split_clause,[],[f2243,f2090,f860,f4169]) ).
fof(f4169,plain,
( spl28_580
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v5_membered(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_580])]) ).
fof(f2243,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v5_membered(sK10(X0)) )
| ~ spl28_91
| ~ spl28_278 ),
inference(resolution,[],[f2091,f861]) ).
fof(f4167,plain,
( spl28_579
| ~ spl28_87
| ~ spl28_277 ),
inference(avatar_split_clause,[],[f2242,f2086,f844,f4165]) ).
fof(f4165,plain,
( spl28_579
<=> ! [X4] :
( ~ v5_membered(X4)
| v1_xboole_0(X4)
| v1_membered(sK9(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_579])]) ).
fof(f2086,plain,
( spl28_277
<=> ! [X2] :
( sP4(sK9(X2))
| ~ v5_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_277])]) ).
fof(f2242,plain,
( ! [X4] :
( ~ v5_membered(X4)
| v1_xboole_0(X4)
| v1_membered(sK9(X4)) )
| ~ spl28_87
| ~ spl28_277 ),
inference(resolution,[],[f2087,f845]) ).
fof(f2087,plain,
( ! [X2] :
( sP4(sK9(X2))
| ~ v5_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_277 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f4163,plain,
( spl28_578
| ~ spl28_88
| ~ spl28_277 ),
inference(avatar_split_clause,[],[f2241,f2086,f848,f4161]) ).
fof(f4161,plain,
( spl28_578
<=> ! [X3] :
( ~ v5_membered(X3)
| v1_xboole_0(X3)
| v2_membered(sK9(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_578])]) ).
fof(f2241,plain,
( ! [X3] :
( ~ v5_membered(X3)
| v1_xboole_0(X3)
| v2_membered(sK9(X3)) )
| ~ spl28_88
| ~ spl28_277 ),
inference(resolution,[],[f2087,f849]) ).
fof(f4159,plain,
( spl28_577
| ~ spl28_89
| ~ spl28_277 ),
inference(avatar_split_clause,[],[f2240,f2086,f852,f4157]) ).
fof(f4157,plain,
( spl28_577
<=> ! [X2] :
( ~ v5_membered(X2)
| v1_xboole_0(X2)
| v3_membered(sK9(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_577])]) ).
fof(f2240,plain,
( ! [X2] :
( ~ v5_membered(X2)
| v1_xboole_0(X2)
| v3_membered(sK9(X2)) )
| ~ spl28_89
| ~ spl28_277 ),
inference(resolution,[],[f2087,f853]) ).
fof(f4155,plain,
( spl28_575
| ~ spl28_576
| ~ spl28_279
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3880,f3875,f2094,f4152,f4148]) ).
fof(f4148,plain,
( spl28_575
<=> v1_finset_1(a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_575])]) ).
fof(f4152,plain,
( spl28_576
<=> v1_finset_1(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_576])]) ).
fof(f3880,plain,
( ~ v1_finset_1(k1_zfmisc_1(u1_struct_0(sK6)))
| v1_finset_1(a_1_1_lopclset(sK6))
| ~ spl28_279
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2095]) ).
fof(f4146,plain,
( spl28_574
| ~ spl28_90
| ~ spl28_277 ),
inference(avatar_split_clause,[],[f2239,f2086,f856,f4144]) ).
fof(f4144,plain,
( spl28_574
<=> ! [X1] :
( ~ v5_membered(X1)
| v1_xboole_0(X1)
| v4_membered(sK9(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_574])]) ).
fof(f2239,plain,
( ! [X1] :
( ~ v5_membered(X1)
| v1_xboole_0(X1)
| v4_membered(sK9(X1)) )
| ~ spl28_90
| ~ spl28_277 ),
inference(resolution,[],[f2087,f857]) ).
fof(f4142,plain,
( spl28_573
| ~ spl28_91
| ~ spl28_277 ),
inference(avatar_split_clause,[],[f2238,f2086,f860,f4140]) ).
fof(f4140,plain,
( spl28_573
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v5_membered(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_573])]) ).
fof(f2238,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v5_membered(sK9(X0)) )
| ~ spl28_91
| ~ spl28_277 ),
inference(resolution,[],[f2087,f861]) ).
fof(f4138,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_572
| ~ spl28_226
| ~ spl28_524 ),
inference(avatar_split_clause,[],[f3721,f3709,f1814,f4136,f473,f468,f463,f458,f453]) ).
fof(f4136,plain,
( spl28_572
<=> ! [X0,X1] :
( ~ v1_xboole_0(k1_funct_1(k9_lopclset(sK6),X0))
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ v1_filter_0(X1,sK6)
| ~ m1_filter_0(X1,sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_572])]) ).
fof(f3721,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k1_funct_1(k9_lopclset(sK6),X0))
| ~ v1_filter_0(X1,sK6)
| ~ m1_filter_0(X1,sK6)
| ~ m1_subset_1(X0,u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ r2_hidden(X0,X1) )
| ~ spl28_226
| ~ spl28_524 ),
inference(superposition,[],[f3710,f1816]) ).
fof(f4124,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_571
| ~ spl28_203
| ~ spl28_226 ),
inference(avatar_split_clause,[],[f1820,f1814,f1666,f4122,f473,f468,f463,f458,f453]) ).
fof(f1820,plain,
( ! [X4,X5] :
( ~ r2_hidden(X4,k1_funct_1(k9_lopclset(sK6),X5))
| v1_filter_0(X4,sK6)
| ~ m1_filter_0(X4,sK6)
| ~ m1_subset_1(X5,u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6) )
| ~ spl28_203
| ~ spl28_226 ),
inference(superposition,[],[f1667,f1816]) ).
fof(f4110,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_570
| ~ spl28_204
| ~ spl28_226 ),
inference(avatar_split_clause,[],[f1819,f1814,f1670,f4108,f473,f468,f463,f458,f453]) ).
fof(f1819,plain,
( ! [X2,X3] :
( ~ r2_hidden(X2,k1_funct_1(k9_lopclset(sK6),X3))
| r2_hidden(X3,X2)
| ~ m1_filter_0(X2,sK6)
| ~ m1_subset_1(X3,u1_struct_0(sK6))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6) )
| ~ spl28_204
| ~ spl28_226 ),
inference(superposition,[],[f1671,f1816]) ).
fof(f4094,plain,
( spl28_569
| ~ spl28_266
| ~ spl28_312 ),
inference(avatar_split_clause,[],[f2309,f2230,f2013,f4092]) ).
fof(f2309,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK13(k1_zfmisc_1(X0))) )
| ~ spl28_266
| ~ spl28_312 ),
inference(resolution,[],[f2231,f2014]) ).
fof(f4090,plain,
( spl28_568
| ~ spl28_117
| ~ spl28_266 ),
inference(avatar_split_clause,[],[f2062,f2013,f991,f4088]) ).
fof(f4088,plain,
( spl28_568
<=> ! [X1] :
( v1_xboole_0(X1)
| ~ r2_hidden(X1,sK13(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_568])]) ).
fof(f2062,plain,
( ! [X1] :
( v1_xboole_0(X1)
| ~ r2_hidden(X1,sK13(X1)) )
| ~ spl28_117
| ~ spl28_266 ),
inference(resolution,[],[f2014,f992]) ).
fof(f4086,plain,
( spl28_567
| ~ spl28_87
| ~ spl28_253 ),
inference(avatar_split_clause,[],[f2049,f1960,f844,f4084]) ).
fof(f4084,plain,
( spl28_567
<=> ! [X4] :
( ~ v5_membered(X4)
| v1_membered(sK13(k1_zfmisc_1(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_567])]) ).
fof(f1960,plain,
( spl28_253
<=> ! [X4] :
( sP4(sK13(k1_zfmisc_1(X4)))
| ~ v5_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_253])]) ).
fof(f2049,plain,
( ! [X4] :
( ~ v5_membered(X4)
| v1_membered(sK13(k1_zfmisc_1(X4))) )
| ~ spl28_87
| ~ spl28_253 ),
inference(resolution,[],[f1961,f845]) ).
fof(f1961,plain,
( ! [X4] :
( sP4(sK13(k1_zfmisc_1(X4)))
| ~ v5_membered(X4) )
| ~ spl28_253 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f4082,plain,
( spl28_566
| ~ spl28_88
| ~ spl28_253 ),
inference(avatar_split_clause,[],[f2048,f1960,f848,f4080]) ).
fof(f4080,plain,
( spl28_566
<=> ! [X3] :
( ~ v5_membered(X3)
| v2_membered(sK13(k1_zfmisc_1(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_566])]) ).
fof(f2048,plain,
( ! [X3] :
( ~ v5_membered(X3)
| v2_membered(sK13(k1_zfmisc_1(X3))) )
| ~ spl28_88
| ~ spl28_253 ),
inference(resolution,[],[f1961,f849]) ).
fof(f4078,plain,
( spl28_565
| ~ spl28_89
| ~ spl28_253 ),
inference(avatar_split_clause,[],[f2047,f1960,f852,f4076]) ).
fof(f4076,plain,
( spl28_565
<=> ! [X2] :
( ~ v5_membered(X2)
| v3_membered(sK13(k1_zfmisc_1(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_565])]) ).
fof(f2047,plain,
( ! [X2] :
( ~ v5_membered(X2)
| v3_membered(sK13(k1_zfmisc_1(X2))) )
| ~ spl28_89
| ~ spl28_253 ),
inference(resolution,[],[f1961,f853]) ).
fof(f4074,plain,
( spl28_564
| ~ spl28_90
| ~ spl28_253 ),
inference(avatar_split_clause,[],[f2046,f1960,f856,f4072]) ).
fof(f4072,plain,
( spl28_564
<=> ! [X1] :
( ~ v5_membered(X1)
| v4_membered(sK13(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_564])]) ).
fof(f2046,plain,
( ! [X1] :
( ~ v5_membered(X1)
| v4_membered(sK13(k1_zfmisc_1(X1))) )
| ~ spl28_90
| ~ spl28_253 ),
inference(resolution,[],[f1961,f857]) ).
fof(f4070,plain,
( spl28_563
| ~ spl28_91
| ~ spl28_253 ),
inference(avatar_split_clause,[],[f2045,f1960,f860,f4068]) ).
fof(f4068,plain,
( spl28_563
<=> ! [X0] :
( ~ v5_membered(X0)
| v5_membered(sK13(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_563])]) ).
fof(f2045,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v5_membered(sK13(k1_zfmisc_1(X0))) )
| ~ spl28_91
| ~ spl28_253 ),
inference(resolution,[],[f1961,f861]) ).
fof(f4066,plain,
( spl28_561
| ~ spl28_562
| ~ spl28_276
| ~ spl28_540 ),
inference(avatar_split_clause,[],[f3879,f3875,f2082,f4063,f4059]) ).
fof(f4059,plain,
( spl28_561
<=> sP4(a_1_1_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_561])]) ).
fof(f4063,plain,
( spl28_562
<=> v5_membered(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_562])]) ).
fof(f3879,plain,
( ~ v5_membered(k1_zfmisc_1(u1_struct_0(sK6)))
| sP4(a_1_1_lopclset(sK6))
| ~ spl28_276
| ~ spl28_540 ),
inference(resolution,[],[f3877,f2083]) ).
fof(f4057,plain,
( spl28_560
| ~ spl28_52
| ~ spl28_345 ),
inference(avatar_split_clause,[],[f2512,f2441,f704,f4055]) ).
fof(f4055,plain,
( spl28_560
<=> ! [X0] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_560])]) ).
fof(f704,plain,
( spl28_52
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_52])]) ).
fof(f2512,plain,
( ! [X0] :
( v1_xcmplx_0(X0)
| ~ v1_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_345 ),
inference(resolution,[],[f2442,f705]) ).
fof(f705,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl28_52 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f4053,plain,
( spl28_559
| ~ spl28_52
| ~ spl28_344 ),
inference(avatar_split_clause,[],[f2508,f2437,f704,f4051]) ).
fof(f4051,plain,
( spl28_559
<=> ! [X0] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_559])]) ).
fof(f2437,plain,
( spl28_344
<=> ! [X20,X21] :
( ~ r1_tarski(X20,X21)
| v1_xreal_0(X20)
| ~ v2_membered(k1_zfmisc_1(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_344])]) ).
fof(f2508,plain,
( ! [X0] :
( v1_xreal_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_344 ),
inference(resolution,[],[f2438,f705]) ).
fof(f2438,plain,
( ! [X21,X20] :
( ~ r1_tarski(X20,X21)
| v1_xreal_0(X20)
| ~ v2_membered(k1_zfmisc_1(X21)) )
| ~ spl28_344 ),
inference(avatar_component_clause,[],[f2437]) ).
fof(f4049,plain,
( spl28_558
| ~ spl28_52
| ~ spl28_343 ),
inference(avatar_split_clause,[],[f2504,f2433,f704,f4047]) ).
fof(f4047,plain,
( spl28_558
<=> ! [X0] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_558])]) ).
fof(f2504,plain,
( ! [X0] :
( v1_xcmplx_0(X0)
| ~ v2_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_343 ),
inference(resolution,[],[f2434,f705]) ).
fof(f4045,plain,
( spl28_557
| ~ spl28_52
| ~ spl28_342 ),
inference(avatar_split_clause,[],[f2500,f2429,f704,f4043]) ).
fof(f4043,plain,
( spl28_557
<=> ! [X0] :
( v1_rat_1(X0)
| ~ v3_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_557])]) ).
fof(f2429,plain,
( spl28_342
<=> ! [X16,X17] :
( ~ r1_tarski(X16,X17)
| v1_rat_1(X16)
| ~ v3_membered(k1_zfmisc_1(X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_342])]) ).
fof(f2500,plain,
( ! [X0] :
( v1_rat_1(X0)
| ~ v3_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_342 ),
inference(resolution,[],[f2430,f705]) ).
fof(f2430,plain,
( ! [X16,X17] :
( ~ r1_tarski(X16,X17)
| v1_rat_1(X16)
| ~ v3_membered(k1_zfmisc_1(X17)) )
| ~ spl28_342 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f4041,plain,
( spl28_556
| ~ spl28_52
| ~ spl28_341 ),
inference(avatar_split_clause,[],[f2496,f2425,f704,f4039]) ).
fof(f4039,plain,
( spl28_556
<=> ! [X0] :
( v1_xreal_0(X0)
| ~ v3_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_556])]) ).
fof(f2425,plain,
( spl28_341
<=> ! [X14,X15] :
( ~ r1_tarski(X14,X15)
| v1_xreal_0(X14)
| ~ v3_membered(k1_zfmisc_1(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_341])]) ).
fof(f2496,plain,
( ! [X0] :
( v1_xreal_0(X0)
| ~ v3_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_341 ),
inference(resolution,[],[f2426,f705]) ).
fof(f2426,plain,
( ! [X14,X15] :
( ~ r1_tarski(X14,X15)
| v1_xreal_0(X14)
| ~ v3_membered(k1_zfmisc_1(X15)) )
| ~ spl28_341 ),
inference(avatar_component_clause,[],[f2425]) ).
fof(f4037,plain,
( spl28_555
| ~ spl28_52
| ~ spl28_340 ),
inference(avatar_split_clause,[],[f2492,f2421,f704,f4035]) ).
fof(f4035,plain,
( spl28_555
<=> ! [X0] :
( v1_xcmplx_0(X0)
| ~ v3_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_555])]) ).
fof(f2492,plain,
( ! [X0] :
( v1_xcmplx_0(X0)
| ~ v3_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_340 ),
inference(resolution,[],[f2422,f705]) ).
fof(f4033,plain,
( spl28_554
| ~ spl28_52
| ~ spl28_339 ),
inference(avatar_split_clause,[],[f2488,f2417,f704,f4031]) ).
fof(f4031,plain,
( spl28_554
<=> ! [X0] :
( v1_rat_1(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_554])]) ).
fof(f2417,plain,
( spl28_339
<=> ! [X11,X10] :
( ~ r1_tarski(X10,X11)
| v1_rat_1(X10)
| ~ v4_membered(k1_zfmisc_1(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_339])]) ).
fof(f2488,plain,
( ! [X0] :
( v1_rat_1(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_339 ),
inference(resolution,[],[f2418,f705]) ).
fof(f2418,plain,
( ! [X10,X11] :
( ~ r1_tarski(X10,X11)
| v1_rat_1(X10)
| ~ v4_membered(k1_zfmisc_1(X11)) )
| ~ spl28_339 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f4029,plain,
( spl28_553
| ~ spl28_52
| ~ spl28_338 ),
inference(avatar_split_clause,[],[f2484,f2413,f704,f4027]) ).
fof(f4027,plain,
( spl28_553
<=> ! [X0] :
( v1_int_1(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_553])]) ).
fof(f2413,plain,
( spl28_338
<=> ! [X9,X8] :
( ~ r1_tarski(X8,X9)
| v1_int_1(X8)
| ~ v4_membered(k1_zfmisc_1(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_338])]) ).
fof(f2484,plain,
( ! [X0] :
( v1_int_1(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_338 ),
inference(resolution,[],[f2414,f705]) ).
fof(f2414,plain,
( ! [X8,X9] :
( ~ r1_tarski(X8,X9)
| v1_int_1(X8)
| ~ v4_membered(k1_zfmisc_1(X9)) )
| ~ spl28_338 ),
inference(avatar_component_clause,[],[f2413]) ).
fof(f4025,plain,
( spl28_552
| ~ spl28_52
| ~ spl28_337 ),
inference(avatar_split_clause,[],[f2480,f2409,f704,f4023]) ).
fof(f4023,plain,
( spl28_552
<=> ! [X0] :
( v1_xreal_0(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_552])]) ).
fof(f2409,plain,
( spl28_337
<=> ! [X6,X7] :
( ~ r1_tarski(X6,X7)
| v1_xreal_0(X6)
| ~ v4_membered(k1_zfmisc_1(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_337])]) ).
fof(f2480,plain,
( ! [X0] :
( v1_xreal_0(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_337 ),
inference(resolution,[],[f2410,f705]) ).
fof(f2410,plain,
( ! [X6,X7] :
( ~ r1_tarski(X6,X7)
| v1_xreal_0(X6)
| ~ v4_membered(k1_zfmisc_1(X7)) )
| ~ spl28_337 ),
inference(avatar_component_clause,[],[f2409]) ).
fof(f4021,plain,
( spl28_551
| ~ spl28_52
| ~ spl28_336 ),
inference(avatar_split_clause,[],[f2476,f2405,f704,f4019]) ).
fof(f4019,plain,
( spl28_551
<=> ! [X0] :
( v1_xcmplx_0(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_551])]) ).
fof(f2476,plain,
( ! [X0] :
( v1_xcmplx_0(X0)
| ~ v4_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_336 ),
inference(resolution,[],[f2406,f705]) ).
fof(f4017,plain,
( spl28_550
| ~ spl28_52
| ~ spl28_335 ),
inference(avatar_split_clause,[],[f2472,f2401,f704,f4015]) ).
fof(f4015,plain,
( spl28_550
<=> ! [X0] :
( sP3(X0)
| ~ v5_membered(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_550])]) ).
fof(f2472,plain,
( ! [X0] :
( sP3(X0)
| ~ v5_membered(k1_zfmisc_1(X0)) )
| ~ spl28_52
| ~ spl28_335 ),
inference(resolution,[],[f2402,f705]) ).
fof(f4013,plain,
( spl28_549
| ~ spl28_82
| ~ spl28_228 ),
inference(avatar_split_clause,[],[f1890,f1834,f824,f4011]) ).
fof(f4011,plain,
( spl28_549
<=> ! [X4] :
( ~ v5_membered(X4)
| v1_xcmplx_0(sK13(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_549])]) ).
fof(f1834,plain,
( spl28_228
<=> ! [X2] :
( sP3(sK13(X2))
| ~ v5_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_228])]) ).
fof(f1890,plain,
( ! [X4] :
( ~ v5_membered(X4)
| v1_xcmplx_0(sK13(X4)) )
| ~ spl28_82
| ~ spl28_228 ),
inference(resolution,[],[f1835,f825]) ).
fof(f1835,plain,
( ! [X2] :
( sP3(sK13(X2))
| ~ v5_membered(X2) )
| ~ spl28_228 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f4009,plain,
( spl28_548
| ~ spl28_273
| ~ spl28_542 ),
inference(avatar_split_clause,[],[f3966,f3961,f2042,f4006]) ).
fof(f4006,plain,
( spl28_548
<=> v1_relat_1(k9_lopclset(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_548])]) ).
fof(f3966,plain,
( v1_relat_1(k9_lopclset(sK6))
| ~ spl28_273
| ~ spl28_542 ),
inference(resolution,[],[f3963,f2043]) ).
fof(f4004,plain,
( spl28_547
| ~ spl28_83
| ~ spl28_228 ),
inference(avatar_split_clause,[],[f1889,f1834,f828,f4002]) ).
fof(f4002,plain,
( spl28_547
<=> ! [X3] :
( ~ v5_membered(X3)
| v4_ordinal2(sK13(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_547])]) ).
fof(f1889,plain,
( ! [X3] :
( ~ v5_membered(X3)
| v4_ordinal2(sK13(X3)) )
| ~ spl28_83
| ~ spl28_228 ),
inference(resolution,[],[f1835,f829]) ).
fof(f4000,plain,
( spl28_546
| ~ spl28_84
| ~ spl28_228 ),
inference(avatar_split_clause,[],[f1888,f1834,f832,f3998]) ).
fof(f3998,plain,
( spl28_546
<=> ! [X2] :
( ~ v5_membered(X2)
| v1_xreal_0(sK13(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_546])]) ).
fof(f1888,plain,
( ! [X2] :
( ~ v5_membered(X2)
| v1_xreal_0(sK13(X2)) )
| ~ spl28_84
| ~ spl28_228 ),
inference(resolution,[],[f1835,f833]) ).
fof(f3996,plain,
( spl28_545
| ~ spl28_85
| ~ spl28_228 ),
inference(avatar_split_clause,[],[f1887,f1834,f836,f3994]) ).
fof(f3994,plain,
( spl28_545
<=> ! [X1] :
( ~ v5_membered(X1)
| v1_int_1(sK13(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_545])]) ).
fof(f1887,plain,
( ! [X1] :
( ~ v5_membered(X1)
| v1_int_1(sK13(X1)) )
| ~ spl28_85
| ~ spl28_228 ),
inference(resolution,[],[f1835,f837]) ).
fof(f3992,plain,
( spl28_544
| ~ spl28_86
| ~ spl28_228 ),
inference(avatar_split_clause,[],[f1886,f1834,f840,f3990]) ).
fof(f3990,plain,
( spl28_544
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_rat_1(sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_544])]) ).
fof(f1886,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_rat_1(sK13(X0)) )
| ~ spl28_86
| ~ spl28_228 ),
inference(resolution,[],[f1835,f841]) ).
fof(f3985,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_543
| ~ spl28_194
| ~ spl28_227 ),
inference(avatar_split_clause,[],[f1830,f1824,f1590,f3982,f473,f468,f463,f458,f453]) ).
fof(f1830,plain,
( v1_funct_2(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_194
| ~ spl28_227 ),
inference(superposition,[],[f1591,f1826]) ).
fof(f3964,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_542
| ~ spl28_195
| ~ spl28_227 ),
inference(avatar_split_clause,[],[f1829,f1824,f1594,f3961,f473,f468,f463,f458,f453]) ).
fof(f1829,plain,
( m2_relset_1(k9_lopclset(sK6),u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_195
| ~ spl28_227 ),
inference(superposition,[],[f1595,f1826]) ).
fof(f3932,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| spl28_541
| ~ spl28_192
| ~ spl28_227 ),
inference(avatar_split_clause,[],[f1831,f1824,f1555,f3929,f473,f468,f463,f458,f453]) ).
fof(f1831,plain,
( m1_subset_1(a_1_1_lopclset(sK6),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_192
| ~ spl28_227 ),
inference(superposition,[],[f1556,f1826]) ).
fof(f3878,plain,
( ~ spl28_5
| spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| spl28_540
| ~ spl28_227
| ~ spl28_459 ),
inference(avatar_split_clause,[],[f3312,f3269,f1824,f3875,f468,f463,f458,f453,f473]) ).
fof(f3312,plain,
( r1_tarski(a_1_1_lopclset(sK6),k1_zfmisc_1(u1_struct_0(sK6)))
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl28_227
| ~ spl28_459 ),
inference(superposition,[],[f3270,f1826]) ).
fof(f3856,plain,
( spl28_539
| ~ spl28_184
| ~ spl28_205 ),
inference(avatar_split_clause,[],[f1686,f1678,f1477,f3854]) ).
fof(f1686,plain,
( ! [X16,X17,X15] :
( ~ r2_hidden(X15,sK15(X16,k1_funct_1(k8_lopclset(X17),X15)))
| ~ v1_filter_0(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X17)
| ~ m1_filter_0(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X17)
| ~ m1_subset_1(X15,u1_struct_0(X17))
| ~ l3_lattices(X17)
| v3_realset2(X17)
| ~ v17_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| k1_funct_1(k8_lopclset(X17),X15) = X16
| ~ r2_hidden(sK15(X16,k1_funct_1(k8_lopclset(X17),X15)),X16) )
| ~ spl28_184
| ~ spl28_205 ),
inference(resolution,[],[f1679,f1478]) ).
fof(f3852,plain,
( spl28_538
| spl28_527
| ~ spl28_135
| ~ spl28_468 ),
inference(avatar_split_clause,[],[f3373,f3347,f1068,f3753,f3849]) ).
fof(f3849,plain,
( spl28_538
<=> v1_rat_1(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_538])]) ).
fof(f3753,plain,
( spl28_527
<=> ! [X6] :
( ~ v10_lattices(X6)
| ~ v3_membered(u1_struct_0(X6))
| ~ m1_filter_0(sK8,X6)
| ~ l3_lattices(X6)
| v3_struct_0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_527])]) ).
fof(f3373,plain,
( ! [X7] :
( ~ v10_lattices(X7)
| v3_struct_0(X7)
| ~ l3_lattices(X7)
| ~ m1_filter_0(sK8,X7)
| v1_rat_1(sK7)
| ~ v3_membered(u1_struct_0(X7)) )
| ~ spl28_135
| ~ spl28_468 ),
inference(resolution,[],[f3348,f1069]) ).
fof(f3839,plain,
( spl28_537
| ~ spl28_183
| ~ spl28_204 ),
inference(avatar_split_clause,[],[f1676,f1670,f1473,f3837]) ).
fof(f3837,plain,
( spl28_537
<=> ! [X4,X5,X3] :
( r2_hidden(X3,sK15(k1_funct_1(k8_lopclset(X4),X3),X5))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X4),X3),X5),X4)
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| r2_hidden(sK15(k1_funct_1(k8_lopclset(X4),X3),X5),X5)
| k1_funct_1(k8_lopclset(X4),X3) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_537])]) ).
fof(f1676,plain,
( ! [X3,X4,X5] :
( r2_hidden(X3,sK15(k1_funct_1(k8_lopclset(X4),X3),X5))
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X4),X3),X5),X4)
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| r2_hidden(sK15(k1_funct_1(k8_lopclset(X4),X3),X5),X5)
| k1_funct_1(k8_lopclset(X4),X3) = X5 )
| ~ spl28_183
| ~ spl28_204 ),
inference(resolution,[],[f1671,f1474]) ).
fof(f3835,plain,
( spl28_536
| ~ spl28_183
| ~ spl28_204 ),
inference(avatar_split_clause,[],[f1675,f1670,f1473,f3833]) ).
fof(f3833,plain,
( spl28_536
<=> ! [X2,X0,X1] :
( r2_hidden(X0,sK15(X1,k1_funct_1(k8_lopclset(X2),X0)))
| ~ m1_filter_0(sK15(X1,k1_funct_1(k8_lopclset(X2),X0)),X2)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(sK15(X1,k1_funct_1(k8_lopclset(X2),X0)),X1)
| k1_funct_1(k8_lopclset(X2),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_536])]) ).
fof(f1675,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,sK15(X1,k1_funct_1(k8_lopclset(X2),X0)))
| ~ m1_filter_0(sK15(X1,k1_funct_1(k8_lopclset(X2),X0)),X2)
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(sK15(X1,k1_funct_1(k8_lopclset(X2),X0)),X1)
| k1_funct_1(k8_lopclset(X2),X0) = X1 )
| ~ spl28_183
| ~ spl28_204 ),
inference(resolution,[],[f1671,f1474]) ).
fof(f3831,plain,
( spl28_535
| ~ spl28_183
| ~ spl28_203 ),
inference(avatar_split_clause,[],[f1674,f1666,f1473,f3829]) ).
fof(f3829,plain,
( spl28_535
<=> ! [X4,X5,X3] :
( v1_filter_0(sK15(k1_funct_1(k8_lopclset(X3),X4),X5),X3)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X3),X4),X5),X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| r2_hidden(sK15(k1_funct_1(k8_lopclset(X3),X4),X5),X5)
| k1_funct_1(k8_lopclset(X3),X4) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_535])]) ).
fof(f1674,plain,
( ! [X3,X4,X5] :
( v1_filter_0(sK15(k1_funct_1(k8_lopclset(X3),X4),X5),X3)
| ~ m1_filter_0(sK15(k1_funct_1(k8_lopclset(X3),X4),X5),X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| r2_hidden(sK15(k1_funct_1(k8_lopclset(X3),X4),X5),X5)
| k1_funct_1(k8_lopclset(X3),X4) = X5 )
| ~ spl28_183
| ~ spl28_203 ),
inference(resolution,[],[f1667,f1474]) ).
fof(f3827,plain,
( spl28_534
| ~ spl28_183
| ~ spl28_203 ),
inference(avatar_split_clause,[],[f1673,f1666,f1473,f3825]) ).
fof(f3825,plain,
( spl28_534
<=> ! [X2,X0,X1] :
( v1_filter_0(sK15(X0,k1_funct_1(k8_lopclset(X1),X2)),X1)
| ~ m1_filter_0(sK15(X0,k1_funct_1(k8_lopclset(X1),X2)),X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK15(X0,k1_funct_1(k8_lopclset(X1),X2)),X0)
| k1_funct_1(k8_lopclset(X1),X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_534])]) ).
fof(f1673,plain,
( ! [X2,X0,X1] :
( v1_filter_0(sK15(X0,k1_funct_1(k8_lopclset(X1),X2)),X1)
| ~ m1_filter_0(sK15(X0,k1_funct_1(k8_lopclset(X1),X2)),X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK15(X0,k1_funct_1(k8_lopclset(X1),X2)),X0)
| k1_funct_1(k8_lopclset(X1),X2) = X0 )
| ~ spl28_183
| ~ spl28_203 ),
inference(resolution,[],[f1667,f1474]) ).
fof(f3819,plain,
( spl28_533
| ~ spl28_194
| ~ spl28_202 ),
inference(avatar_split_clause,[],[f1664,f1660,f1590,f3817]) ).
fof(f1664,plain,
( ! [X3,X4] :
( ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_relset_1(k9_lopclset(X4),u1_struct_0(X4),k1_zfmisc_1(k7_lopclset(X4)))
| k8_funct_2(u1_struct_0(X4),k1_zfmisc_1(k7_lopclset(X4)),k9_lopclset(X4),X3) = k1_funct_1(k9_lopclset(X4),X3)
| ~ v1_funct_1(k9_lopclset(X4))
| v1_xboole_0(u1_struct_0(X4))
| ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4) )
| ~ spl28_194
| ~ spl28_202 ),
inference(resolution,[],[f1661,f1591]) ).
fof(f3811,plain,
( spl28_532
| ~ spl28_190
| ~ spl28_194 ),
inference(avatar_split_clause,[],[f1604,f1590,f1545,f3809]) ).
fof(f1604,plain,
( ! [X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v1_partfun1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ v1_funct_1(k9_lopclset(X1))
| ~ m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X1))) )
| ~ spl28_190
| ~ spl28_194 ),
inference(resolution,[],[f1591,f1546]) ).
fof(f3771,plain,
( spl28_531
| ~ spl28_183
| ~ spl28_198 ),
inference(avatar_split_clause,[],[f1621,f1611,f1473,f3769]) ).
fof(f1621,plain,
( ! [X2,X3] :
( sK15(a_1_1_lopclset(X2),X3) = sK14(sK15(a_1_1_lopclset(X2),X3),X2)
| ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| r2_hidden(sK15(a_1_1_lopclset(X2),X3),X3)
| a_1_1_lopclset(X2) = X3 )
| ~ spl28_183
| ~ spl28_198 ),
inference(resolution,[],[f1612,f1474]) ).
fof(f3767,plain,
( spl28_530
| ~ spl28_183
| ~ spl28_198 ),
inference(avatar_split_clause,[],[f1620,f1611,f1473,f3765]) ).
fof(f1620,plain,
( ! [X0,X1] :
( sK15(X0,a_1_1_lopclset(X1)) = sK14(sK15(X0,a_1_1_lopclset(X1)),X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r2_hidden(sK15(X0,a_1_1_lopclset(X1)),X0)
| a_1_1_lopclset(X1) = X0 )
| ~ spl28_183
| ~ spl28_198 ),
inference(resolution,[],[f1612,f1474]) ).
fof(f3763,plain,
( spl28_529
| ~ spl28_191
| ~ spl28_194 ),
inference(avatar_split_clause,[],[f1603,f1590,f1549,f3761]) ).
fof(f1603,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k9_lopclset(X0))
| ~ v1_funct_1(k9_lopclset(X0))
| ~ m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(k1_zfmisc_1(k7_lopclset(X0)))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl28_191
| ~ spl28_194 ),
inference(resolution,[],[f1591,f1550]) ).
fof(f3759,plain,
( spl28_528
| ~ spl28_165
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1653,f1623,f1261,f3757]) ).
fof(f3757,plain,
( spl28_528
<=> ! [X112,X113,X111,X114,X110] :
( ~ m1_subset_1(X110,X111)
| ~ m1_relset_1(X112,X111,k1_zfmisc_1(k2_zfmisc_1(X113,X114)))
| ~ v1_funct_2(X112,X111,k1_zfmisc_1(k2_zfmisc_1(X113,X114)))
| ~ v1_funct_1(X112)
| v1_xboole_0(X111)
| v1_relat_1(k8_funct_2(X111,k1_zfmisc_1(k2_zfmisc_1(X113,X114)),X112,X110)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_528])]) ).
fof(f1623,plain,
( spl28_200
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_200])]) ).
fof(f1653,plain,
( ! [X113,X111,X114,X112,X110] :
( ~ m1_subset_1(X110,X111)
| ~ m1_relset_1(X112,X111,k1_zfmisc_1(k2_zfmisc_1(X113,X114)))
| ~ v1_funct_2(X112,X111,k1_zfmisc_1(k2_zfmisc_1(X113,X114)))
| ~ v1_funct_1(X112)
| v1_xboole_0(X111)
| v1_relat_1(k8_funct_2(X111,k1_zfmisc_1(k2_zfmisc_1(X113,X114)),X112,X110)) )
| ~ spl28_165
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1262]) ).
fof(f1624,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) )
| ~ spl28_200 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f3755,plain,
( spl28_514
| spl28_527
| ~ spl28_134
| ~ spl28_468 ),
inference(avatar_split_clause,[],[f3372,f3347,f1064,f3753,f3649]) ).
fof(f3649,plain,
( spl28_514
<=> v1_xreal_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_514])]) ).
fof(f3372,plain,
( ! [X6] :
( ~ v10_lattices(X6)
| v3_struct_0(X6)
| ~ l3_lattices(X6)
| ~ m1_filter_0(sK8,X6)
| v1_xreal_0(sK7)
| ~ v3_membered(u1_struct_0(X6)) )
| ~ spl28_134
| ~ spl28_468 ),
inference(resolution,[],[f3348,f1065]) ).
fof(f3730,plain,
( spl28_526
| ~ spl28_117
| ~ spl28_205 ),
inference(avatar_split_clause,[],[f1684,f1678,f991,f3728]) ).
fof(f1684,plain,
( ! [X10,X11,X9] :
( ~ r2_hidden(X9,X10)
| ~ v1_filter_0(X10,X11)
| ~ m1_filter_0(X10,X11)
| ~ m1_subset_1(X9,u1_struct_0(X11))
| ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| ~ r2_hidden(k1_funct_1(k8_lopclset(X11),X9),X10) )
| ~ spl28_117
| ~ spl28_205 ),
inference(resolution,[],[f1679,f992]) ).
fof(f3726,plain,
( spl28_525
| ~ spl28_119
| ~ spl28_205 ),
inference(avatar_split_clause,[],[f1683,f1678,f1000,f3724]) ).
fof(f1683,plain,
( ! [X8,X6,X7] :
( ~ r2_hidden(X6,X7)
| ~ v1_filter_0(X7,X8)
| ~ m1_filter_0(X7,X8)
| ~ m1_subset_1(X6,u1_struct_0(X8))
| ~ l3_lattices(X8)
| v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| m1_subset_1(X7,k1_funct_1(k8_lopclset(X8),X6)) )
| ~ spl28_119
| ~ spl28_205 ),
inference(resolution,[],[f1679,f1001]) ).
fof(f3711,plain,
( spl28_524
| ~ spl28_115
| ~ spl28_205 ),
inference(avatar_split_clause,[],[f1685,f1678,f981,f3709]) ).
fof(f1685,plain,
( ! [X14,X12,X13] :
( ~ r2_hidden(X12,X13)
| ~ v1_filter_0(X13,X14)
| ~ m1_filter_0(X13,X14)
| ~ m1_subset_1(X12,u1_struct_0(X14))
| ~ l3_lattices(X14)
| v3_realset2(X14)
| ~ v17_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ v1_xboole_0(k1_funct_1(k8_lopclset(X14),X12)) )
| ~ spl28_115
| ~ spl28_205 ),
inference(resolution,[],[f1679,f982]) ).
fof(f3707,plain,
( spl28_523
| ~ spl28_124
| ~ spl28_202 ),
inference(avatar_split_clause,[],[f1663,f1660,f1020,f3705]) ).
fof(f1020,plain,
( spl28_124
<=> ! [X0,X1] : v1_funct_2(sK19(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_124])]) ).
fof(f1663,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(sK19(X1,X2),X1,X2)
| k8_funct_2(X1,X2,sK19(X1,X2),X0) = k1_funct_1(sK19(X1,X2),X0)
| ~ v1_funct_1(sK19(X1,X2))
| v1_xboole_0(X1) )
| ~ spl28_124
| ~ spl28_202 ),
inference(resolution,[],[f1661,f1021]) ).
fof(f1021,plain,
( ! [X0,X1] : v1_funct_2(sK19(X0,X1),X0,X1)
| ~ spl28_124 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f3703,plain,
( spl28_522
| ~ spl28_176
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1652,f1623,f1380,f3701]) ).
fof(f1652,plain,
( ! [X108,X109,X106,X107,X105] :
( ~ m1_subset_1(X105,X106)
| ~ m1_relset_1(X107,X106,k1_zfmisc_1(X108))
| ~ v1_funct_2(X107,X106,k1_zfmisc_1(X108))
| ~ v1_funct_1(X107)
| v1_xboole_0(X106)
| m1_subset_1(X109,X108)
| ~ r2_hidden(X109,k8_funct_2(X106,k1_zfmisc_1(X108),X107,X105)) )
| ~ spl28_176
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1381]) ).
fof(f3691,plain,
( spl28_521
| ~ spl28_170
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1651,f1623,f1352,f3689]) ).
fof(f1651,plain,
( ! [X101,X104,X102,X103,X100] :
( ~ m1_subset_1(X100,X101)
| ~ m1_relset_1(X102,X101,k1_zfmisc_1(X103))
| ~ v1_funct_2(X102,X101,k1_zfmisc_1(X103))
| ~ v1_funct_1(X102)
| v1_xboole_0(X101)
| ~ v1_xboole_0(X103)
| ~ r2_hidden(X104,k8_funct_2(X101,k1_zfmisc_1(X103),X102,X100)) )
| ~ spl28_170
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1353]) ).
fof(f3676,plain,
( spl28_520
| ~ spl28_162
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1650,f1623,f1249,f3674]) ).
fof(f3674,plain,
( spl28_520
<=> ! [X99,X98,X97,X96] :
( ~ m1_subset_1(X96,X97)
| ~ m1_relset_1(X98,X97,k1_zfmisc_1(X99))
| ~ v1_funct_2(X98,X97,k1_zfmisc_1(X99))
| ~ v1_funct_1(X98)
| v1_xboole_0(X97)
| v1_membered(k8_funct_2(X97,k1_zfmisc_1(X99),X98,X96))
| ~ v1_membered(X99) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_520])]) ).
fof(f1650,plain,
( ! [X98,X99,X96,X97] :
( ~ m1_subset_1(X96,X97)
| ~ m1_relset_1(X98,X97,k1_zfmisc_1(X99))
| ~ v1_funct_2(X98,X97,k1_zfmisc_1(X99))
| ~ v1_funct_1(X98)
| v1_xboole_0(X97)
| v1_membered(k8_funct_2(X97,k1_zfmisc_1(X99),X98,X96))
| ~ v1_membered(X99) )
| ~ spl28_162
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1250]) ).
fof(f3672,plain,
( spl28_519
| ~ spl28_161
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1649,f1623,f1245,f3670]) ).
fof(f3670,plain,
( spl28_519
<=> ! [X94,X95,X93,X92] :
( ~ m1_subset_1(X92,X93)
| ~ m1_relset_1(X94,X93,k1_zfmisc_1(X95))
| ~ v1_funct_2(X94,X93,k1_zfmisc_1(X95))
| ~ v1_funct_1(X94)
| v1_xboole_0(X93)
| v2_membered(k8_funct_2(X93,k1_zfmisc_1(X95),X94,X92))
| ~ v2_membered(X95) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_519])]) ).
fof(f1649,plain,
( ! [X94,X95,X92,X93] :
( ~ m1_subset_1(X92,X93)
| ~ m1_relset_1(X94,X93,k1_zfmisc_1(X95))
| ~ v1_funct_2(X94,X93,k1_zfmisc_1(X95))
| ~ v1_funct_1(X94)
| v1_xboole_0(X93)
| v2_membered(k8_funct_2(X93,k1_zfmisc_1(X95),X94,X92))
| ~ v2_membered(X95) )
| ~ spl28_161
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1246]) ).
fof(f3668,plain,
( spl28_518
| ~ spl28_160
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1648,f1623,f1241,f3666]) ).
fof(f3666,plain,
( spl28_518
<=> ! [X88,X91,X90,X89] :
( ~ m1_subset_1(X88,X89)
| ~ m1_relset_1(X90,X89,k1_zfmisc_1(X91))
| ~ v1_funct_2(X90,X89,k1_zfmisc_1(X91))
| ~ v1_funct_1(X90)
| v1_xboole_0(X89)
| v1_membered(k8_funct_2(X89,k1_zfmisc_1(X91),X90,X88))
| ~ v2_membered(X91) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_518])]) ).
fof(f1648,plain,
( ! [X90,X91,X88,X89] :
( ~ m1_subset_1(X88,X89)
| ~ m1_relset_1(X90,X89,k1_zfmisc_1(X91))
| ~ v1_funct_2(X90,X89,k1_zfmisc_1(X91))
| ~ v1_funct_1(X90)
| v1_xboole_0(X89)
| v1_membered(k8_funct_2(X89,k1_zfmisc_1(X91),X90,X88))
| ~ v2_membered(X91) )
| ~ spl28_160
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1242]) ).
fof(f3664,plain,
( spl28_517
| ~ spl28_159
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1647,f1623,f1237,f3662]) ).
fof(f3662,plain,
( spl28_517
<=> ! [X85,X84,X87,X86] :
( ~ m1_subset_1(X84,X85)
| ~ m1_relset_1(X86,X85,k1_zfmisc_1(X87))
| ~ v1_funct_2(X86,X85,k1_zfmisc_1(X87))
| ~ v1_funct_1(X86)
| v1_xboole_0(X85)
| v3_membered(k8_funct_2(X85,k1_zfmisc_1(X87),X86,X84))
| ~ v3_membered(X87) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_517])]) ).
fof(f1647,plain,
( ! [X86,X87,X84,X85] :
( ~ m1_subset_1(X84,X85)
| ~ m1_relset_1(X86,X85,k1_zfmisc_1(X87))
| ~ v1_funct_2(X86,X85,k1_zfmisc_1(X87))
| ~ v1_funct_1(X86)
| v1_xboole_0(X85)
| v3_membered(k8_funct_2(X85,k1_zfmisc_1(X87),X86,X84))
| ~ v3_membered(X87) )
| ~ spl28_159
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1238]) ).
fof(f3660,plain,
( spl28_516
| ~ spl28_158
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1646,f1623,f1233,f3658]) ).
fof(f3658,plain,
( spl28_516
<=> ! [X82,X81,X80,X83] :
( ~ m1_subset_1(X80,X81)
| ~ m1_relset_1(X82,X81,k1_zfmisc_1(X83))
| ~ v1_funct_2(X82,X81,k1_zfmisc_1(X83))
| ~ v1_funct_1(X82)
| v1_xboole_0(X81)
| v2_membered(k8_funct_2(X81,k1_zfmisc_1(X83),X82,X80))
| ~ v3_membered(X83) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_516])]) ).
fof(f1646,plain,
( ! [X82,X83,X80,X81] :
( ~ m1_subset_1(X80,X81)
| ~ m1_relset_1(X82,X81,k1_zfmisc_1(X83))
| ~ v1_funct_2(X82,X81,k1_zfmisc_1(X83))
| ~ v1_funct_1(X82)
| v1_xboole_0(X81)
| v2_membered(k8_funct_2(X81,k1_zfmisc_1(X83),X82,X80))
| ~ v3_membered(X83) )
| ~ spl28_158
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1234]) ).
fof(f3656,plain,
( spl28_515
| ~ spl28_157
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1645,f1623,f1229,f3654]) ).
fof(f3654,plain,
( spl28_515
<=> ! [X77,X78,X76,X79] :
( ~ m1_subset_1(X76,X77)
| ~ m1_relset_1(X78,X77,k1_zfmisc_1(X79))
| ~ v1_funct_2(X78,X77,k1_zfmisc_1(X79))
| ~ v1_funct_1(X78)
| v1_xboole_0(X77)
| v1_membered(k8_funct_2(X77,k1_zfmisc_1(X79),X78,X76))
| ~ v3_membered(X79) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_515])]) ).
fof(f1645,plain,
( ! [X78,X79,X76,X77] :
( ~ m1_subset_1(X76,X77)
| ~ m1_relset_1(X78,X77,k1_zfmisc_1(X79))
| ~ v1_funct_2(X78,X77,k1_zfmisc_1(X79))
| ~ v1_funct_1(X78)
| v1_xboole_0(X77)
| v1_membered(k8_funct_2(X77,k1_zfmisc_1(X79),X78,X76))
| ~ v3_membered(X79) )
| ~ spl28_157
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1230]) ).
fof(f3652,plain,
( spl28_514
| spl28_505
| ~ spl28_129
| ~ spl28_468 ),
inference(avatar_split_clause,[],[f3368,f3347,f1043,f3575,f3649]) ).
fof(f3575,plain,
( spl28_505
<=> ! [X1] :
( ~ v10_lattices(X1)
| ~ v4_membered(u1_struct_0(X1))
| ~ m1_filter_0(sK8,X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_505])]) ).
fof(f3368,plain,
( ! [X2] :
( ~ v10_lattices(X2)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ m1_filter_0(sK8,X2)
| v1_xreal_0(sK7)
| ~ v4_membered(u1_struct_0(X2)) )
| ~ spl28_129
| ~ spl28_468 ),
inference(resolution,[],[f3348,f1044]) ).
fof(f3647,plain,
( spl28_513
| ~ spl28_154
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1644,f1623,f1216,f3645]) ).
fof(f3645,plain,
( spl28_513
<=> ! [X74,X75,X73,X72] :
( ~ m1_subset_1(X72,X73)
| ~ m1_relset_1(X74,X73,k1_zfmisc_1(X75))
| ~ v1_funct_2(X74,X73,k1_zfmisc_1(X75))
| ~ v1_funct_1(X74)
| v1_xboole_0(X73)
| v4_membered(k8_funct_2(X73,k1_zfmisc_1(X75),X74,X72))
| ~ v4_membered(X75) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_513])]) ).
fof(f1644,plain,
( ! [X72,X73,X74,X75] :
( ~ m1_subset_1(X72,X73)
| ~ m1_relset_1(X74,X73,k1_zfmisc_1(X75))
| ~ v1_funct_2(X74,X73,k1_zfmisc_1(X75))
| ~ v1_funct_1(X74)
| v1_xboole_0(X73)
| v4_membered(k8_funct_2(X73,k1_zfmisc_1(X75),X74,X72))
| ~ v4_membered(X75) )
| ~ spl28_154
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1217]) ).
fof(f3643,plain,
( spl28_512
| ~ spl28_153
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1643,f1623,f1212,f3641]) ).
fof(f3641,plain,
( spl28_512
<=> ! [X69,X71,X70,X68] :
( ~ m1_subset_1(X68,X69)
| ~ m1_relset_1(X70,X69,k1_zfmisc_1(X71))
| ~ v1_funct_2(X70,X69,k1_zfmisc_1(X71))
| ~ v1_funct_1(X70)
| v1_xboole_0(X69)
| v3_membered(k8_funct_2(X69,k1_zfmisc_1(X71),X70,X68))
| ~ v4_membered(X71) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_512])]) ).
fof(f1643,plain,
( ! [X70,X71,X68,X69] :
( ~ m1_subset_1(X68,X69)
| ~ m1_relset_1(X70,X69,k1_zfmisc_1(X71))
| ~ v1_funct_2(X70,X69,k1_zfmisc_1(X71))
| ~ v1_funct_1(X70)
| v1_xboole_0(X69)
| v3_membered(k8_funct_2(X69,k1_zfmisc_1(X71),X70,X68))
| ~ v4_membered(X71) )
| ~ spl28_153
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1213]) ).
fof(f3639,plain,
( spl28_511
| ~ spl28_152
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1642,f1623,f1208,f3637]) ).
fof(f3637,plain,
( spl28_511
<=> ! [X65,X64,X67,X66] :
( ~ m1_subset_1(X64,X65)
| ~ m1_relset_1(X66,X65,k1_zfmisc_1(X67))
| ~ v1_funct_2(X66,X65,k1_zfmisc_1(X67))
| ~ v1_funct_1(X66)
| v1_xboole_0(X65)
| v2_membered(k8_funct_2(X65,k1_zfmisc_1(X67),X66,X64))
| ~ v4_membered(X67) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_511])]) ).
fof(f1642,plain,
( ! [X65,X66,X67,X64] :
( ~ m1_subset_1(X64,X65)
| ~ m1_relset_1(X66,X65,k1_zfmisc_1(X67))
| ~ v1_funct_2(X66,X65,k1_zfmisc_1(X67))
| ~ v1_funct_1(X66)
| v1_xboole_0(X65)
| v2_membered(k8_funct_2(X65,k1_zfmisc_1(X67),X66,X64))
| ~ v4_membered(X67) )
| ~ spl28_152
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1209]) ).
fof(f3635,plain,
( spl28_510
| ~ spl28_151
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1641,f1623,f1204,f3633]) ).
fof(f3633,plain,
( spl28_510
<=> ! [X61,X60,X63,X62] :
( ~ m1_subset_1(X60,X61)
| ~ m1_relset_1(X62,X61,k1_zfmisc_1(X63))
| ~ v1_funct_2(X62,X61,k1_zfmisc_1(X63))
| ~ v1_funct_1(X62)
| v1_xboole_0(X61)
| v1_membered(k8_funct_2(X61,k1_zfmisc_1(X63),X62,X60))
| ~ v4_membered(X63) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_510])]) ).
fof(f1641,plain,
( ! [X62,X63,X60,X61] :
( ~ m1_subset_1(X60,X61)
| ~ m1_relset_1(X62,X61,k1_zfmisc_1(X63))
| ~ v1_funct_2(X62,X61,k1_zfmisc_1(X63))
| ~ v1_funct_1(X62)
| v1_xboole_0(X61)
| v1_membered(k8_funct_2(X61,k1_zfmisc_1(X63),X62,X60))
| ~ v4_membered(X63) )
| ~ spl28_151
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1205]) ).
fof(f3631,plain,
( spl28_509
| ~ spl28_150
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1640,f1623,f1200,f3629]) ).
fof(f3629,plain,
( spl28_509
<=> ! [X59,X57,X56,X58] :
( ~ m1_subset_1(X56,X57)
| ~ m1_relset_1(X58,X57,k1_zfmisc_1(X59))
| ~ v1_funct_2(X58,X57,k1_zfmisc_1(X59))
| ~ v1_funct_1(X58)
| v1_xboole_0(X57)
| v1_finset_1(k8_funct_2(X57,k1_zfmisc_1(X59),X58,X56))
| ~ v1_finset_1(X59) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_509])]) ).
fof(f1640,plain,
( ! [X58,X59,X56,X57] :
( ~ m1_subset_1(X56,X57)
| ~ m1_relset_1(X58,X57,k1_zfmisc_1(X59))
| ~ v1_funct_2(X58,X57,k1_zfmisc_1(X59))
| ~ v1_funct_1(X58)
| v1_xboole_0(X57)
| v1_finset_1(k8_funct_2(X57,k1_zfmisc_1(X59),X58,X56))
| ~ v1_finset_1(X59) )
| ~ spl28_150
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1201]) ).
fof(f3627,plain,
( spl28_508
| ~ spl28_149
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1639,f1623,f1196,f3625]) ).
fof(f1639,plain,
( ! [X54,X55,X52,X53] :
( ~ m1_subset_1(X52,X53)
| ~ m1_relset_1(X54,X53,k1_zfmisc_1(X55))
| ~ v1_funct_2(X54,X53,k1_zfmisc_1(X55))
| ~ v1_funct_1(X54)
| v1_xboole_0(X53)
| sP4(k8_funct_2(X53,k1_zfmisc_1(X55),X54,X52))
| ~ v5_membered(X55) )
| ~ spl28_149
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1197]) ).
fof(f3597,plain,
( spl28_507
| ~ spl28_141
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1638,f1623,f1092,f3595]) ).
fof(f3595,plain,
( spl28_507
<=> ! [X48,X51,X50,X49] :
( ~ m1_subset_1(X48,X49)
| ~ m1_relset_1(X50,X49,k1_zfmisc_1(X51))
| ~ v1_funct_2(X50,X49,k1_zfmisc_1(X51))
| ~ v1_funct_1(X50)
| v1_xboole_0(X49)
| r1_tarski(k8_funct_2(X49,k1_zfmisc_1(X51),X50,X48),X51) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_507])]) ).
fof(f1638,plain,
( ! [X50,X51,X48,X49] :
( ~ m1_subset_1(X48,X49)
| ~ m1_relset_1(X50,X49,k1_zfmisc_1(X51))
| ~ v1_funct_2(X50,X49,k1_zfmisc_1(X51))
| ~ v1_funct_1(X50)
| v1_xboole_0(X49)
| r1_tarski(k8_funct_2(X49,k1_zfmisc_1(X51),X50,X48),X51) )
| ~ spl28_141
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1093]) ).
fof(f3581,plain,
( spl28_506
| ~ spl28_163
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1637,f1623,f1253,f3579]) ).
fof(f1637,plain,
( ! [X46,X47,X44,X45] :
( ~ m1_subset_1(X44,X45)
| ~ m1_relset_1(X46,X45,X47)
| ~ v1_funct_2(X46,X45,X47)
| ~ v1_funct_1(X46)
| v1_xboole_0(X45)
| v1_xboole_0(X47)
| r2_hidden(k8_funct_2(X45,X47,X46,X44),X47) )
| ~ spl28_163
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1254]) ).
fof(f3577,plain,
( spl28_169
| spl28_505
| ~ spl28_128
| ~ spl28_468 ),
inference(avatar_split_clause,[],[f3367,f3347,f1039,f3575,f1343]) ).
fof(f1343,plain,
( spl28_169
<=> v1_xcmplx_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_169])]) ).
fof(f3367,plain,
( ! [X1] :
( ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(sK8,X1)
| v1_xcmplx_0(sK7)
| ~ v4_membered(u1_struct_0(X1)) )
| ~ spl28_128
| ~ spl28_468 ),
inference(resolution,[],[f3348,f1040]) ).
fof(f3568,plain,
( spl28_504
| ~ spl28_138
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1636,f1623,f1080,f3566]) ).
fof(f3566,plain,
( spl28_504
<=> ! [X41,X40,X42,X43] :
( ~ m1_subset_1(X40,X41)
| ~ m1_relset_1(X42,X41,X43)
| ~ v1_funct_2(X42,X41,X43)
| ~ v1_funct_1(X42)
| v1_xboole_0(X41)
| v1_xcmplx_0(k8_funct_2(X41,X43,X42,X40))
| ~ v1_membered(X43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_504])]) ).
fof(f1636,plain,
( ! [X40,X41,X42,X43] :
( ~ m1_subset_1(X40,X41)
| ~ m1_relset_1(X42,X41,X43)
| ~ v1_funct_2(X42,X41,X43)
| ~ v1_funct_1(X42)
| v1_xboole_0(X41)
| v1_xcmplx_0(k8_funct_2(X41,X43,X42,X40))
| ~ v1_membered(X43) )
| ~ spl28_138
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1081]) ).
fof(f3564,plain,
( spl28_503
| ~ spl28_137
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1635,f1623,f1076,f3562]) ).
fof(f3562,plain,
( spl28_503
<=> ! [X38,X36,X39,X37] :
( ~ m1_subset_1(X36,X37)
| ~ m1_relset_1(X38,X37,X39)
| ~ v1_funct_2(X38,X37,X39)
| ~ v1_funct_1(X38)
| v1_xboole_0(X37)
| v1_xreal_0(k8_funct_2(X37,X39,X38,X36))
| ~ v2_membered(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_503])]) ).
fof(f1635,plain,
( ! [X38,X39,X36,X37] :
( ~ m1_subset_1(X36,X37)
| ~ m1_relset_1(X38,X37,X39)
| ~ v1_funct_2(X38,X37,X39)
| ~ v1_funct_1(X38)
| v1_xboole_0(X37)
| v1_xreal_0(k8_funct_2(X37,X39,X38,X36))
| ~ v2_membered(X39) )
| ~ spl28_137
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1077]) ).
fof(f3560,plain,
( spl28_502
| ~ spl28_136
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1634,f1623,f1072,f3558]) ).
fof(f3558,plain,
( spl28_502
<=> ! [X35,X34,X33,X32] :
( ~ m1_subset_1(X32,X33)
| ~ m1_relset_1(X34,X33,X35)
| ~ v1_funct_2(X34,X33,X35)
| ~ v1_funct_1(X34)
| v1_xboole_0(X33)
| v1_xcmplx_0(k8_funct_2(X33,X35,X34,X32))
| ~ v2_membered(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_502])]) ).
fof(f1634,plain,
( ! [X34,X35,X32,X33] :
( ~ m1_subset_1(X32,X33)
| ~ m1_relset_1(X34,X33,X35)
| ~ v1_funct_2(X34,X33,X35)
| ~ v1_funct_1(X34)
| v1_xboole_0(X33)
| v1_xcmplx_0(k8_funct_2(X33,X35,X34,X32))
| ~ v2_membered(X35) )
| ~ spl28_136
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1073]) ).
fof(f3556,plain,
( spl28_501
| ~ spl28_135
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1633,f1623,f1068,f3554]) ).
fof(f3554,plain,
( spl28_501
<=> ! [X31,X29,X28,X30] :
( ~ m1_subset_1(X28,X29)
| ~ m1_relset_1(X30,X29,X31)
| ~ v1_funct_2(X30,X29,X31)
| ~ v1_funct_1(X30)
| v1_xboole_0(X29)
| v1_rat_1(k8_funct_2(X29,X31,X30,X28))
| ~ v3_membered(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_501])]) ).
fof(f1633,plain,
( ! [X31,X28,X29,X30] :
( ~ m1_subset_1(X28,X29)
| ~ m1_relset_1(X30,X29,X31)
| ~ v1_funct_2(X30,X29,X31)
| ~ v1_funct_1(X30)
| v1_xboole_0(X29)
| v1_rat_1(k8_funct_2(X29,X31,X30,X28))
| ~ v3_membered(X31) )
| ~ spl28_135
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1069]) ).
fof(f3552,plain,
( spl28_500
| ~ spl28_134
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1632,f1623,f1064,f3550]) ).
fof(f3550,plain,
( spl28_500
<=> ! [X24,X27,X25,X26] :
( ~ m1_subset_1(X24,X25)
| ~ m1_relset_1(X26,X25,X27)
| ~ v1_funct_2(X26,X25,X27)
| ~ v1_funct_1(X26)
| v1_xboole_0(X25)
| v1_xreal_0(k8_funct_2(X25,X27,X26,X24))
| ~ v3_membered(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_500])]) ).
fof(f1632,plain,
( ! [X26,X27,X24,X25] :
( ~ m1_subset_1(X24,X25)
| ~ m1_relset_1(X26,X25,X27)
| ~ v1_funct_2(X26,X25,X27)
| ~ v1_funct_1(X26)
| v1_xboole_0(X25)
| v1_xreal_0(k8_funct_2(X25,X27,X26,X24))
| ~ v3_membered(X27) )
| ~ spl28_134
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1065]) ).
fof(f3548,plain,
( spl28_499
| ~ spl28_133
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1631,f1623,f1060,f3546]) ).
fof(f3546,plain,
( spl28_499
<=> ! [X20,X21,X23,X22] :
( ~ m1_subset_1(X20,X21)
| ~ m1_relset_1(X22,X21,X23)
| ~ v1_funct_2(X22,X21,X23)
| ~ v1_funct_1(X22)
| v1_xboole_0(X21)
| v1_xcmplx_0(k8_funct_2(X21,X23,X22,X20))
| ~ v3_membered(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_499])]) ).
fof(f1631,plain,
( ! [X21,X22,X23,X20] :
( ~ m1_subset_1(X20,X21)
| ~ m1_relset_1(X22,X21,X23)
| ~ v1_funct_2(X22,X21,X23)
| ~ v1_funct_1(X22)
| v1_xboole_0(X21)
| v1_xcmplx_0(k8_funct_2(X21,X23,X22,X20))
| ~ v3_membered(X23) )
| ~ spl28_133
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1061]) ).
fof(f3544,plain,
( spl28_498
| ~ spl28_132
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1630,f1623,f1056,f3542]) ).
fof(f3542,plain,
( spl28_498
<=> ! [X18,X17,X16,X19] :
( ~ m1_subset_1(X16,X17)
| ~ m1_relset_1(X18,X17,X19)
| ~ v1_funct_2(X18,X17,X19)
| ~ v1_funct_1(X18)
| v1_xboole_0(X17)
| v1_rat_1(k8_funct_2(X17,X19,X18,X16))
| ~ v4_membered(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_498])]) ).
fof(f1630,plain,
( ! [X18,X19,X16,X17] :
( ~ m1_subset_1(X16,X17)
| ~ m1_relset_1(X18,X17,X19)
| ~ v1_funct_2(X18,X17,X19)
| ~ v1_funct_1(X18)
| v1_xboole_0(X17)
| v1_rat_1(k8_funct_2(X17,X19,X18,X16))
| ~ v4_membered(X19) )
| ~ spl28_132
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1057]) ).
fof(f3540,plain,
( spl28_497
| ~ spl28_130
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1629,f1623,f1047,f3538]) ).
fof(f3538,plain,
( spl28_497
<=> ! [X13,X14,X12,X15] :
( ~ m1_subset_1(X12,X13)
| ~ m1_relset_1(X14,X13,X15)
| ~ v1_funct_2(X14,X13,X15)
| ~ v1_funct_1(X14)
| v1_xboole_0(X13)
| v1_int_1(k8_funct_2(X13,X15,X14,X12))
| ~ v4_membered(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_497])]) ).
fof(f1629,plain,
( ! [X14,X15,X12,X13] :
( ~ m1_subset_1(X12,X13)
| ~ m1_relset_1(X14,X13,X15)
| ~ v1_funct_2(X14,X13,X15)
| ~ v1_funct_1(X14)
| v1_xboole_0(X13)
| v1_int_1(k8_funct_2(X13,X15,X14,X12))
| ~ v4_membered(X15) )
| ~ spl28_130
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1048]) ).
fof(f3536,plain,
( spl28_496
| ~ spl28_129
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1628,f1623,f1043,f3534]) ).
fof(f3534,plain,
( spl28_496
<=> ! [X10,X11,X9,X8] :
( ~ m1_subset_1(X8,X9)
| ~ m1_relset_1(X10,X9,X11)
| ~ v1_funct_2(X10,X9,X11)
| ~ v1_funct_1(X10)
| v1_xboole_0(X9)
| v1_xreal_0(k8_funct_2(X9,X11,X10,X8))
| ~ v4_membered(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_496])]) ).
fof(f1628,plain,
( ! [X10,X11,X8,X9] :
( ~ m1_subset_1(X8,X9)
| ~ m1_relset_1(X10,X9,X11)
| ~ v1_funct_2(X10,X9,X11)
| ~ v1_funct_1(X10)
| v1_xboole_0(X9)
| v1_xreal_0(k8_funct_2(X9,X11,X10,X8))
| ~ v4_membered(X11) )
| ~ spl28_129
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1044]) ).
fof(f3532,plain,
( spl28_495
| ~ spl28_128
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1627,f1623,f1039,f3530]) ).
fof(f3530,plain,
( spl28_495
<=> ! [X5,X4,X7,X6] :
( ~ m1_subset_1(X4,X5)
| ~ m1_relset_1(X6,X5,X7)
| ~ v1_funct_2(X6,X5,X7)
| ~ v1_funct_1(X6)
| v1_xboole_0(X5)
| v1_xcmplx_0(k8_funct_2(X5,X7,X6,X4))
| ~ v4_membered(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_495])]) ).
fof(f1627,plain,
( ! [X6,X7,X4,X5] :
( ~ m1_subset_1(X4,X5)
| ~ m1_relset_1(X6,X5,X7)
| ~ v1_funct_2(X6,X5,X7)
| ~ v1_funct_1(X6)
| v1_xboole_0(X5)
| v1_xcmplx_0(k8_funct_2(X5,X7,X6,X4))
| ~ v4_membered(X7) )
| ~ spl28_128
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1040]) ).
fof(f3528,plain,
( spl28_494
| ~ spl28_127
| ~ spl28_200 ),
inference(avatar_split_clause,[],[f1626,f1623,f1035,f3526]) ).
fof(f1626,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,X1)
| ~ m1_relset_1(X2,X1,X3)
| ~ v1_funct_2(X2,X1,X3)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| sP3(k8_funct_2(X1,X3,X2,X0))
| ~ v5_membered(X3) )
| ~ spl28_127
| ~ spl28_200 ),
inference(resolution,[],[f1624,f1036]) ).
fof(f3518,plain,
( spl28_493
| ~ spl28_163
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1584,f1555,f1253,f3516]) ).
fof(f1584,plain,
( ! [X28] :
( ~ l3_lattices(X28)
| v3_realset2(X28)
| ~ v17_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28)
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X28))))
| r2_hidden(k7_lopclset(X28),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X28)))) )
| ~ spl28_163
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1254]) ).
fof(f3507,plain,
( spl28_492
| ~ spl28_201 ),
inference(avatar_split_clause,[],[f1658,f1655,f3505]) ).
fof(f1655,plain,
( spl28_201
<=> ! [X2,X0,X1] :
( r2_hidden(X0,a_1_1_lopclset(X1))
| ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_201])]) ).
fof(f1658,plain,
( ! [X0,X1] :
( ~ v1_filter_0(X0,X1)
| r2_hidden(X0,a_1_1_lopclset(X1))
| ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_201 ),
inference(equality_resolution,[],[f1656]) ).
fof(f1656,plain,
( ! [X2,X0,X1] :
( X0 != X2
| ~ v1_filter_0(X2,X1)
| r2_hidden(X0,a_1_1_lopclset(X1))
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_201 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f3476,plain,
( spl28_491
| ~ spl28_176
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1572,f1555,f1380,f3474]) ).
fof(f1572,plain,
( ! [X16,X15] :
( ~ l3_lattices(X15)
| v3_realset2(X15)
| ~ v17_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| m1_subset_1(X16,k1_zfmisc_1(u1_struct_0(X15)))
| ~ r2_hidden(X16,k7_lopclset(X15)) )
| ~ spl28_176
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1381]) ).
fof(f3469,plain,
( spl28_156
| spl28_490
| ~ spl28_127
| ~ spl28_468 ),
inference(avatar_split_clause,[],[f3366,f3347,f1035,f3467,f1224]) ).
fof(f1224,plain,
( spl28_156
<=> sP3(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_156])]) ).
fof(f3467,plain,
( spl28_490
<=> ! [X0] :
( ~ v10_lattices(X0)
| ~ v5_membered(u1_struct_0(X0))
| ~ m1_filter_0(sK8,X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_490])]) ).
fof(f3366,plain,
( ! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(sK8,X0)
| sP3(sK7)
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl28_127
| ~ spl28_468 ),
inference(resolution,[],[f3348,f1036]) ).
fof(f3458,plain,
( spl28_489
| ~ spl28_177
| ~ spl28_197 ),
inference(avatar_split_clause,[],[f1619,f1607,f1445,f3456]) ).
fof(f3456,plain,
( spl28_489
<=> ! [X0,X1] :
( ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_489])]) ).
fof(f1445,plain,
( spl28_177
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_177])]) ).
fof(f1607,plain,
( spl28_197
<=> ! [X0,X1] :
( m1_filter_0(sK14(X0,X1),X1)
| ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_197])]) ).
fof(f1619,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK14(X0,X1)) )
| ~ spl28_177
| ~ spl28_197 ),
inference(duplicate_literal_removal,[],[f1618]) ).
fof(f1618,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ v1_xboole_0(sK14(X0,X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_177
| ~ spl28_197 ),
inference(resolution,[],[f1608,f1446]) ).
fof(f1446,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_177 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1608,plain,
( ! [X0,X1] :
( m1_filter_0(sK14(X0,X1),X1)
| ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) )
| ~ spl28_197 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f3454,plain,
( spl28_488
| ~ spl28_166
| ~ spl28_195 ),
inference(avatar_split_clause,[],[f1605,f1594,f1265,f3452]) ).
fof(f1605,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) )
| ~ spl28_166
| ~ spl28_195 ),
inference(resolution,[],[f1595,f1266]) ).
fof(f3450,plain,
( spl28_487
| ~ spl28_138
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1583,f1555,f1080,f3448]) ).
fof(f3448,plain,
( spl28_487
<=> ! [X27] :
( ~ l3_lattices(X27)
| v3_realset2(X27)
| ~ v17_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| v1_xcmplx_0(k7_lopclset(X27))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X27)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_487])]) ).
fof(f1583,plain,
( ! [X27] :
( ~ l3_lattices(X27)
| v3_realset2(X27)
| ~ v17_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| v1_xcmplx_0(k7_lopclset(X27))
| ~ v1_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X27)))) )
| ~ spl28_138
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1081]) ).
fof(f3446,plain,
( spl28_486
| ~ spl28_137
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1582,f1555,f1076,f3444]) ).
fof(f3444,plain,
( spl28_486
<=> ! [X26] :
( ~ l3_lattices(X26)
| v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| v1_xreal_0(k7_lopclset(X26))
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X26)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_486])]) ).
fof(f1582,plain,
( ! [X26] :
( ~ l3_lattices(X26)
| v3_realset2(X26)
| ~ v17_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26)
| v1_xreal_0(k7_lopclset(X26))
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X26)))) )
| ~ spl28_137
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1077]) ).
fof(f3438,plain,
( spl28_1
| ~ spl28_109
| ~ spl28_139
| ~ spl28_215 ),
inference(avatar_split_clause,[],[f3399,f1747,f1084,f955,f453]) ).
fof(f955,plain,
( spl28_109
<=> l1_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_109])]) ).
fof(f1084,plain,
( spl28_139
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_139])]) ).
fof(f3399,plain,
( ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl28_139
| ~ spl28_215 ),
inference(resolution,[],[f1749,f1085]) ).
fof(f1085,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl28_139 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1749,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl28_215 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f3437,plain,
( spl28_485
| ~ spl28_136
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1581,f1555,f1072,f3435]) ).
fof(f3435,plain,
( spl28_485
<=> ! [X25] :
( ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v1_xcmplx_0(k7_lopclset(X25))
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X25)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_485])]) ).
fof(f1581,plain,
( ! [X25] :
( ~ l3_lattices(X25)
| v3_realset2(X25)
| ~ v17_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v1_xcmplx_0(k7_lopclset(X25))
| ~ v2_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X25)))) )
| ~ spl28_136
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1073]) ).
fof(f3433,plain,
( spl28_484
| ~ spl28_135
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1580,f1555,f1068,f3431]) ).
fof(f3431,plain,
( spl28_484
<=> ! [X24] :
( ~ l3_lattices(X24)
| v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| v1_rat_1(k7_lopclset(X24))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X24)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_484])]) ).
fof(f1580,plain,
( ! [X24] :
( ~ l3_lattices(X24)
| v3_realset2(X24)
| ~ v17_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24)
| v1_rat_1(k7_lopclset(X24))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X24)))) )
| ~ spl28_135
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1069]) ).
fof(f3429,plain,
( spl28_483
| ~ spl28_134
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1579,f1555,f1064,f3427]) ).
fof(f3427,plain,
( spl28_483
<=> ! [X23] :
( ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23)
| v1_xreal_0(k7_lopclset(X23))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X23)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_483])]) ).
fof(f1579,plain,
( ! [X23] :
( ~ l3_lattices(X23)
| v3_realset2(X23)
| ~ v17_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23)
| v1_xreal_0(k7_lopclset(X23))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X23)))) )
| ~ spl28_134
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1065]) ).
fof(f3425,plain,
( spl28_482
| ~ spl28_133
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1578,f1555,f1060,f3423]) ).
fof(f3423,plain,
( spl28_482
<=> ! [X22] :
( ~ l3_lattices(X22)
| v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| v1_xcmplx_0(k7_lopclset(X22))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X22)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_482])]) ).
fof(f1578,plain,
( ! [X22] :
( ~ l3_lattices(X22)
| v3_realset2(X22)
| ~ v17_lattices(X22)
| ~ v10_lattices(X22)
| v3_struct_0(X22)
| v1_xcmplx_0(k7_lopclset(X22))
| ~ v3_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X22)))) )
| ~ spl28_133
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1061]) ).
fof(f3421,plain,
( spl28_481
| ~ spl28_132
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1577,f1555,f1056,f3419]) ).
fof(f3419,plain,
( spl28_481
<=> ! [X21] :
( ~ l3_lattices(X21)
| v3_realset2(X21)
| ~ v17_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| v1_rat_1(k7_lopclset(X21))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X21)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_481])]) ).
fof(f1577,plain,
( ! [X21] :
( ~ l3_lattices(X21)
| v3_realset2(X21)
| ~ v17_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| v1_rat_1(k7_lopclset(X21))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X21)))) )
| ~ spl28_132
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1057]) ).
fof(f3417,plain,
( spl28_480
| ~ spl28_130
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1576,f1555,f1047,f3415]) ).
fof(f3415,plain,
( spl28_480
<=> ! [X20] :
( ~ l3_lattices(X20)
| v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| v1_int_1(k7_lopclset(X20))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X20)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_480])]) ).
fof(f1576,plain,
( ! [X20] :
( ~ l3_lattices(X20)
| v3_realset2(X20)
| ~ v17_lattices(X20)
| ~ v10_lattices(X20)
| v3_struct_0(X20)
| v1_int_1(k7_lopclset(X20))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X20)))) )
| ~ spl28_130
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1048]) ).
fof(f3413,plain,
( spl28_479
| ~ spl28_129
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1575,f1555,f1043,f3411]) ).
fof(f3411,plain,
( spl28_479
<=> ! [X19] :
( ~ l3_lattices(X19)
| v3_realset2(X19)
| ~ v17_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v1_xreal_0(k7_lopclset(X19))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X19)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_479])]) ).
fof(f1575,plain,
( ! [X19] :
( ~ l3_lattices(X19)
| v3_realset2(X19)
| ~ v17_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v1_xreal_0(k7_lopclset(X19))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X19)))) )
| ~ spl28_129
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1044]) ).
fof(f3409,plain,
( spl28_478
| ~ spl28_128
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1574,f1555,f1039,f3407]) ).
fof(f3407,plain,
( spl28_478
<=> ! [X18] :
( ~ l3_lattices(X18)
| v3_realset2(X18)
| ~ v17_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v1_xcmplx_0(k7_lopclset(X18))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_478])]) ).
fof(f1574,plain,
( ! [X18] :
( ~ l3_lattices(X18)
| v3_realset2(X18)
| ~ v17_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| v1_xcmplx_0(k7_lopclset(X18))
| ~ v4_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X18)))) )
| ~ spl28_128
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1040]) ).
fof(f3397,plain,
( spl28_477
| ~ spl28_214
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3276,f3265,f1743,f3395]) ).
fof(f3395,plain,
( spl28_477
<=> ! [X12] :
( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| m1_subset_1(sK7,u1_struct_0(X12))
| ~ m1_filter_0(u1_struct_0(sK6),X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_477])]) ).
fof(f1743,plain,
( spl28_214
<=> r2_hidden(sK7,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_214])]) ).
fof(f3276,plain,
( ! [X12] :
( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| m1_subset_1(sK7,u1_struct_0(X12))
| ~ m1_filter_0(u1_struct_0(sK6),X12) )
| ~ spl28_214
| ~ spl28_458 ),
inference(resolution,[],[f3266,f1745]) ).
fof(f1745,plain,
( r2_hidden(sK7,u1_struct_0(sK6))
| ~ spl28_214 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f3393,plain,
( spl28_476
| ~ spl28_127
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1573,f1555,f1035,f3391]) ).
fof(f3391,plain,
( spl28_476
<=> ! [X17] :
( ~ l3_lattices(X17)
| v3_realset2(X17)
| ~ v17_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| sP3(k7_lopclset(X17))
| ~ v5_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X17)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_476])]) ).
fof(f1573,plain,
( ! [X17] :
( ~ l3_lattices(X17)
| v3_realset2(X17)
| ~ v17_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| sP3(k7_lopclset(X17))
| ~ v5_membered(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X17)))) )
| ~ spl28_127
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1036]) ).
fof(f3389,plain,
( spl28_475
| ~ spl28_124
| ~ spl28_191 ),
inference(avatar_split_clause,[],[f1553,f1549,f1020,f3387]) ).
fof(f1553,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(sK19(X0,X1))
| ~ v1_funct_1(sK19(X0,X1))
| ~ m1_relset_1(sK19(X0,X1),X0,X1)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl28_124
| ~ spl28_191 ),
inference(resolution,[],[f1550,f1021]) ).
fof(f3385,plain,
( spl28_474
| ~ spl28_124
| ~ spl28_190 ),
inference(avatar_split_clause,[],[f1552,f1545,f1020,f3383]) ).
fof(f1552,plain,
( ! [X0,X1] :
( v1_partfun1(sK19(X0,X1),X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ m1_relset_1(sK19(X0,X1),X0,X1)
| v1_xboole_0(X1) )
| ~ spl28_124
| ~ spl28_190 ),
inference(resolution,[],[f1546,f1021]) ).
fof(f3381,plain,
( spl28_473
| ~ spl28_163
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1529,f1496,f1253,f3379]) ).
fof(f1496,plain,
( spl28_186
<=> ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_186])]) ).
fof(f1529,plain,
( ! [X54,X55] :
( ~ m1_filter_0(X54,X55)
| ~ l3_lattices(X55)
| ~ v10_lattices(X55)
| v3_struct_0(X55)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X55)))
| r2_hidden(X54,k1_zfmisc_1(u1_struct_0(X55))) )
| ~ spl28_163
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1254]) ).
fof(f1497,plain,
( ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_186 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f3365,plain,
( spl28_472
| ~ spl28_162
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1570,f1555,f1249,f3363]) ).
fof(f3363,plain,
( spl28_472
<=> ! [X12] :
( ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v1_membered(k7_lopclset(X12))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_472])]) ).
fof(f1570,plain,
( ! [X12] :
( ~ l3_lattices(X12)
| v3_realset2(X12)
| ~ v17_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v1_membered(k7_lopclset(X12))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X12))) )
| ~ spl28_162
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1250]) ).
fof(f3361,plain,
( spl28_471
| ~ spl28_161
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1569,f1555,f1245,f3359]) ).
fof(f3359,plain,
( spl28_471
<=> ! [X11] :
( ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| v2_membered(k7_lopclset(X11))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_471])]) ).
fof(f1569,plain,
( ! [X11] :
( ~ l3_lattices(X11)
| v3_realset2(X11)
| ~ v17_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| v2_membered(k7_lopclset(X11))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X11))) )
| ~ spl28_161
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1246]) ).
fof(f3357,plain,
( spl28_470
| ~ spl28_160
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1568,f1555,f1241,f3355]) ).
fof(f3355,plain,
( spl28_470
<=> ! [X10] :
( ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| v1_membered(k7_lopclset(X10))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_470])]) ).
fof(f1568,plain,
( ! [X10] :
( ~ l3_lattices(X10)
| v3_realset2(X10)
| ~ v17_lattices(X10)
| ~ v10_lattices(X10)
| v3_struct_0(X10)
| v1_membered(k7_lopclset(X10))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X10))) )
| ~ spl28_160
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1242]) ).
fof(f3353,plain,
( spl28_469
| ~ spl28_159
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1567,f1555,f1237,f3351]) ).
fof(f3351,plain,
( spl28_469
<=> ! [X9] :
( ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| v3_membered(k7_lopclset(X9))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_469])]) ).
fof(f1567,plain,
( ! [X9] :
( ~ l3_lattices(X9)
| v3_realset2(X9)
| ~ v17_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| v3_membered(k7_lopclset(X9))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X9))) )
| ~ spl28_159
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1238]) ).
fof(f3349,plain,
( spl28_468
| ~ spl28_8
| ~ spl28_458 ),
inference(avatar_split_clause,[],[f3275,f3265,f488,f3347]) ).
fof(f3275,plain,
( ! [X11] :
( ~ l3_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| m1_subset_1(sK7,u1_struct_0(X11))
| ~ m1_filter_0(sK8,X11) )
| ~ spl28_8
| ~ spl28_458 ),
inference(resolution,[],[f3266,f490]) ).
fof(f490,plain,
( r2_hidden(sK7,sK8)
| ~ spl28_8 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f3345,plain,
( spl28_467
| ~ spl28_158
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1566,f1555,f1233,f3343]) ).
fof(f3343,plain,
( spl28_467
<=> ! [X8] :
( ~ l3_lattices(X8)
| v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| v2_membered(k7_lopclset(X8))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_467])]) ).
fof(f1566,plain,
( ! [X8] :
( ~ l3_lattices(X8)
| v3_realset2(X8)
| ~ v17_lattices(X8)
| ~ v10_lattices(X8)
| v3_struct_0(X8)
| v2_membered(k7_lopclset(X8))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X8))) )
| ~ spl28_158
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1234]) ).
fof(f3341,plain,
( spl28_466
| ~ spl28_157
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1565,f1555,f1229,f3339]) ).
fof(f3339,plain,
( spl28_466
<=> ! [X7] :
( ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| v1_membered(k7_lopclset(X7))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_466])]) ).
fof(f1565,plain,
( ! [X7] :
( ~ l3_lattices(X7)
| v3_realset2(X7)
| ~ v17_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| v1_membered(k7_lopclset(X7))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X7))) )
| ~ spl28_157
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1230]) ).
fof(f3337,plain,
( spl28_465
| ~ spl28_154
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1564,f1555,f1216,f3335]) ).
fof(f3335,plain,
( spl28_465
<=> ! [X6] :
( ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| v4_membered(k7_lopclset(X6))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_465])]) ).
fof(f1564,plain,
( ! [X6] :
( ~ l3_lattices(X6)
| v3_realset2(X6)
| ~ v17_lattices(X6)
| ~ v10_lattices(X6)
| v3_struct_0(X6)
| v4_membered(k7_lopclset(X6))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X6))) )
| ~ spl28_154
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1217]) ).
fof(f3333,plain,
( spl28_464
| ~ spl28_153
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1563,f1555,f1212,f3331]) ).
fof(f3331,plain,
( spl28_464
<=> ! [X5] :
( ~ l3_lattices(X5)
| v3_realset2(X5)
| ~ v17_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| v3_membered(k7_lopclset(X5))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_464])]) ).
fof(f1563,plain,
( ! [X5] :
( ~ l3_lattices(X5)
| v3_realset2(X5)
| ~ v17_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| v3_membered(k7_lopclset(X5))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X5))) )
| ~ spl28_153
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1213]) ).
fof(f3329,plain,
( spl28_463
| ~ spl28_152
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1562,f1555,f1208,f3327]) ).
fof(f3327,plain,
( spl28_463
<=> ! [X4] :
( ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| v2_membered(k7_lopclset(X4))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_463])]) ).
fof(f1562,plain,
( ! [X4] :
( ~ l3_lattices(X4)
| v3_realset2(X4)
| ~ v17_lattices(X4)
| ~ v10_lattices(X4)
| v3_struct_0(X4)
| v2_membered(k7_lopclset(X4))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X4))) )
| ~ spl28_152
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1209]) ).
fof(f3325,plain,
( spl28_462
| ~ spl28_151
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1561,f1555,f1204,f3323]) ).
fof(f3323,plain,
( spl28_462
<=> ! [X3] :
( ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| v1_membered(k7_lopclset(X3))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_462])]) ).
fof(f1561,plain,
( ! [X3] :
( ~ l3_lattices(X3)
| v3_realset2(X3)
| ~ v17_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| v1_membered(k7_lopclset(X3))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X3))) )
| ~ spl28_151
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1205]) ).
fof(f3321,plain,
( spl28_461
| ~ spl28_150
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1560,f1555,f1200,f3319]) ).
fof(f3319,plain,
( spl28_461
<=> ! [X2] :
( ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| v1_finset_1(k7_lopclset(X2))
| ~ v1_finset_1(k1_zfmisc_1(u1_struct_0(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_461])]) ).
fof(f1560,plain,
( ! [X2] :
( ~ l3_lattices(X2)
| v3_realset2(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2)
| v1_finset_1(k7_lopclset(X2))
| ~ v1_finset_1(k1_zfmisc_1(u1_struct_0(X2))) )
| ~ spl28_150
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1201]) ).
fof(f3317,plain,
( spl28_460
| ~ spl28_149
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1559,f1555,f1196,f3315]) ).
fof(f3315,plain,
( spl28_460
<=> ! [X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP4(k7_lopclset(X1))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_460])]) ).
fof(f1559,plain,
( ! [X1] :
( ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| sP4(k7_lopclset(X1))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl28_149
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1197]) ).
fof(f3271,plain,
( spl28_459
| ~ spl28_141
| ~ spl28_192 ),
inference(avatar_split_clause,[],[f1558,f1555,f1092,f3269]) ).
fof(f1558,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| r1_tarski(k7_lopclset(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl28_141
| ~ spl28_192 ),
inference(resolution,[],[f1556,f1093]) ).
fof(f3267,plain,
( spl28_458
| ~ spl28_176
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1517,f1496,f1380,f3265]) ).
fof(f1517,plain,
( ! [X31,X29,X30] :
( ~ m1_filter_0(X29,X30)
| ~ l3_lattices(X30)
| ~ v10_lattices(X30)
| v3_struct_0(X30)
| m1_subset_1(X31,u1_struct_0(X30))
| ~ r2_hidden(X31,X29) )
| ~ spl28_176
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1381]) ).
fof(f3263,plain,
( spl28_457
| ~ spl28_52
| ~ spl28_311 ),
inference(avatar_split_clause,[],[f2305,f2226,f704,f3261]) ).
fof(f3261,plain,
( spl28_457
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_457])]) ).
fof(f2226,plain,
( spl28_311
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_311])]) ).
fof(f2305,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl28_52
| ~ spl28_311 ),
inference(resolution,[],[f2227,f705]) ).
fof(f2227,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl28_311 ),
inference(avatar_component_clause,[],[f2226]) ).
fof(f3255,plain,
( spl28_456
| ~ spl28_138
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1528,f1496,f1080,f3253]) ).
fof(f3253,plain,
( spl28_456
<=> ! [X52,X53] :
( ~ m1_filter_0(X52,X53)
| ~ l3_lattices(X53)
| ~ v10_lattices(X53)
| v3_struct_0(X53)
| v1_xcmplx_0(X52)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X53))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_456])]) ).
fof(f1528,plain,
( ! [X52,X53] :
( ~ m1_filter_0(X52,X53)
| ~ l3_lattices(X53)
| ~ v10_lattices(X53)
| v3_struct_0(X53)
| v1_xcmplx_0(X52)
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X53))) )
| ~ spl28_138
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1081]) ).
fof(f3251,plain,
( spl28_455
| ~ spl28_137
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1527,f1496,f1076,f3249]) ).
fof(f3249,plain,
( spl28_455
<=> ! [X50,X51] :
( ~ m1_filter_0(X50,X51)
| ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| v1_xreal_0(X50)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X51))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_455])]) ).
fof(f1527,plain,
( ! [X50,X51] :
( ~ m1_filter_0(X50,X51)
| ~ l3_lattices(X51)
| ~ v10_lattices(X51)
| v3_struct_0(X51)
| v1_xreal_0(X50)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X51))) )
| ~ spl28_137
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1077]) ).
fof(f3247,plain,
( spl28_454
| ~ spl28_136
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1526,f1496,f1072,f3245]) ).
fof(f3245,plain,
( spl28_454
<=> ! [X48,X49] :
( ~ m1_filter_0(X48,X49)
| ~ l3_lattices(X49)
| ~ v10_lattices(X49)
| v3_struct_0(X49)
| v1_xcmplx_0(X48)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X49))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_454])]) ).
fof(f1526,plain,
( ! [X48,X49] :
( ~ m1_filter_0(X48,X49)
| ~ l3_lattices(X49)
| ~ v10_lattices(X49)
| v3_struct_0(X49)
| v1_xcmplx_0(X48)
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X49))) )
| ~ spl28_136
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1073]) ).
fof(f3243,plain,
( spl28_453
| ~ spl28_135
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1525,f1496,f1068,f3241]) ).
fof(f3241,plain,
( spl28_453
<=> ! [X46,X47] :
( ~ m1_filter_0(X46,X47)
| ~ l3_lattices(X47)
| ~ v10_lattices(X47)
| v3_struct_0(X47)
| v1_rat_1(X46)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X47))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_453])]) ).
fof(f1525,plain,
( ! [X46,X47] :
( ~ m1_filter_0(X46,X47)
| ~ l3_lattices(X47)
| ~ v10_lattices(X47)
| v3_struct_0(X47)
| v1_rat_1(X46)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X47))) )
| ~ spl28_135
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1069]) ).
fof(f3239,plain,
( spl28_452
| ~ spl28_134
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1524,f1496,f1064,f3237]) ).
fof(f3237,plain,
( spl28_452
<=> ! [X45,X44] :
( ~ m1_filter_0(X44,X45)
| ~ l3_lattices(X45)
| ~ v10_lattices(X45)
| v3_struct_0(X45)
| v1_xreal_0(X44)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X45))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_452])]) ).
fof(f1524,plain,
( ! [X44,X45] :
( ~ m1_filter_0(X44,X45)
| ~ l3_lattices(X45)
| ~ v10_lattices(X45)
| v3_struct_0(X45)
| v1_xreal_0(X44)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X45))) )
| ~ spl28_134
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1065]) ).
fof(f3235,plain,
( spl28_451
| ~ spl28_52
| ~ spl28_293 ),
inference(avatar_split_clause,[],[f2274,f2152,f704,f3233]) ).
fof(f3233,plain,
( spl28_451
<=> ! [X0] :
( ~ v3_membered(X0)
| v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_451])]) ).
fof(f2274,plain,
( ! [X0] :
( ~ v3_membered(X0)
| v1_membered(X0) )
| ~ spl28_52
| ~ spl28_293 ),
inference(resolution,[],[f2153,f705]) ).
fof(f3231,plain,
( spl28_450
| ~ spl28_133
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1523,f1496,f1060,f3229]) ).
fof(f3229,plain,
( spl28_450
<=> ! [X43,X42] :
( ~ m1_filter_0(X42,X43)
| ~ l3_lattices(X43)
| ~ v10_lattices(X43)
| v3_struct_0(X43)
| v1_xcmplx_0(X42)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X43))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_450])]) ).
fof(f1523,plain,
( ! [X42,X43] :
( ~ m1_filter_0(X42,X43)
| ~ l3_lattices(X43)
| ~ v10_lattices(X43)
| v3_struct_0(X43)
| v1_xcmplx_0(X42)
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X43))) )
| ~ spl28_133
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1061]) ).
fof(f3227,plain,
( spl28_449
| ~ spl28_132
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1522,f1496,f1056,f3225]) ).
fof(f3225,plain,
( spl28_449
<=> ! [X41,X40] :
( ~ m1_filter_0(X40,X41)
| ~ l3_lattices(X41)
| ~ v10_lattices(X41)
| v3_struct_0(X41)
| v1_rat_1(X40)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X41))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_449])]) ).
fof(f1522,plain,
( ! [X40,X41] :
( ~ m1_filter_0(X40,X41)
| ~ l3_lattices(X41)
| ~ v10_lattices(X41)
| v3_struct_0(X41)
| v1_rat_1(X40)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X41))) )
| ~ spl28_132
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1057]) ).
fof(f3223,plain,
( spl28_448
| ~ spl28_130
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1521,f1496,f1047,f3221]) ).
fof(f3221,plain,
( spl28_448
<=> ! [X38,X39] :
( ~ m1_filter_0(X38,X39)
| ~ l3_lattices(X39)
| ~ v10_lattices(X39)
| v3_struct_0(X39)
| v1_int_1(X38)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X39))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_448])]) ).
fof(f1521,plain,
( ! [X38,X39] :
( ~ m1_filter_0(X38,X39)
| ~ l3_lattices(X39)
| ~ v10_lattices(X39)
| v3_struct_0(X39)
| v1_int_1(X38)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X39))) )
| ~ spl28_130
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1048]) ).
fof(f3219,plain,
( spl28_447
| ~ spl28_129
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1520,f1496,f1043,f3217]) ).
fof(f3217,plain,
( spl28_447
<=> ! [X36,X37] :
( ~ m1_filter_0(X36,X37)
| ~ l3_lattices(X37)
| ~ v10_lattices(X37)
| v3_struct_0(X37)
| v1_xreal_0(X36)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_447])]) ).
fof(f1520,plain,
( ! [X36,X37] :
( ~ m1_filter_0(X36,X37)
| ~ l3_lattices(X37)
| ~ v10_lattices(X37)
| v3_struct_0(X37)
| v1_xreal_0(X36)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X37))) )
| ~ spl28_129
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1044]) ).
fof(f3215,plain,
( spl28_446
| ~ spl28_128
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1519,f1496,f1039,f3213]) ).
fof(f3213,plain,
( spl28_446
<=> ! [X34,X35] :
( ~ m1_filter_0(X34,X35)
| ~ l3_lattices(X35)
| ~ v10_lattices(X35)
| v3_struct_0(X35)
| v1_xcmplx_0(X34)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X35))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_446])]) ).
fof(f1519,plain,
( ! [X34,X35] :
( ~ m1_filter_0(X34,X35)
| ~ l3_lattices(X35)
| ~ v10_lattices(X35)
| v3_struct_0(X35)
| v1_xcmplx_0(X34)
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X35))) )
| ~ spl28_128
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1040]) ).
fof(f3211,plain,
( spl28_445
| ~ spl28_127
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1518,f1496,f1035,f3209]) ).
fof(f3209,plain,
( spl28_445
<=> ! [X32,X33] :
( ~ m1_filter_0(X32,X33)
| ~ l3_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33)
| sP3(X32)
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X33))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_445])]) ).
fof(f1518,plain,
( ! [X32,X33] :
( ~ m1_filter_0(X32,X33)
| ~ l3_lattices(X33)
| ~ v10_lattices(X33)
| v3_struct_0(X33)
| sP3(X32)
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X33))) )
| ~ spl28_127
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1036]) ).
fof(f3207,plain,
( spl28_444
| ~ spl28_170
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1516,f1496,f1352,f3205]) ).
fof(f3205,plain,
( spl28_444
<=> ! [X27,X28,X26] :
( ~ m1_filter_0(X26,X27)
| ~ l3_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| ~ v1_xboole_0(u1_struct_0(X27))
| ~ r2_hidden(X28,X26) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_444])]) ).
fof(f1516,plain,
( ! [X28,X26,X27] :
( ~ m1_filter_0(X26,X27)
| ~ l3_lattices(X27)
| ~ v10_lattices(X27)
| v3_struct_0(X27)
| ~ v1_xboole_0(u1_struct_0(X27))
| ~ r2_hidden(X28,X26) )
| ~ spl28_170
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1353]) ).
fof(f3203,plain,
( spl28_443
| ~ spl28_163
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1437,f1376,f1253,f3201]) ).
fof(f1376,plain,
( spl28_175
<=> ! [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,[spl28_175])]) ).
fof(f1437,plain,
( ! [X80,X81,X79] :
( ~ m2_relset_1(X79,X80,X81)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X80,X81)))
| r2_hidden(X79,k1_zfmisc_1(k2_zfmisc_1(X80,X81))) )
| ~ spl28_163
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1254]) ).
fof(f1377,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl28_175 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f3199,plain,
( spl28_442
| ~ spl28_52
| ~ spl28_284 ),
inference(avatar_split_clause,[],[f2256,f2115,f704,f3197]) ).
fof(f3197,plain,
( spl28_442
<=> ! [X0] :
( ~ v4_membered(X0)
| v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_442])]) ).
fof(f2115,plain,
( spl28_284
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_284])]) ).
fof(f2256,plain,
( ! [X0] :
( ~ v4_membered(X0)
| v2_membered(X0) )
| ~ spl28_52
| ~ spl28_284 ),
inference(resolution,[],[f2116,f705]) ).
fof(f2116,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v4_membered(X1)
| v2_membered(X0) )
| ~ spl28_284 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f3195,plain,
( spl28_441
| ~ spl28_52
| ~ spl28_280 ),
inference(avatar_split_clause,[],[f2252,f2098,f704,f3193]) ).
fof(f3193,plain,
( spl28_441
<=> ! [X0] :
( ~ v4_membered(X0)
| v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_441])]) ).
fof(f2252,plain,
( ! [X0] :
( ~ v4_membered(X0)
| v1_membered(X0) )
| ~ spl28_52
| ~ spl28_280 ),
inference(resolution,[],[f2099,f705]) ).
fof(f3188,plain,
( spl28_440
| ~ spl28_162
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1515,f1496,f1249,f3186]) ).
fof(f3186,plain,
( spl28_440
<=> ! [X25,X24] :
( ~ m1_filter_0(X24,X25)
| ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v1_membered(X24)
| ~ v1_membered(u1_struct_0(X25)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_440])]) ).
fof(f1515,plain,
( ! [X24,X25] :
( ~ m1_filter_0(X24,X25)
| ~ l3_lattices(X25)
| ~ v10_lattices(X25)
| v3_struct_0(X25)
| v1_membered(X24)
| ~ v1_membered(u1_struct_0(X25)) )
| ~ spl28_162
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1250]) ).
fof(f3184,plain,
( spl28_439
| ~ spl28_161
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1514,f1496,f1245,f3182]) ).
fof(f3182,plain,
( spl28_439
<=> ! [X22,X23] :
( ~ m1_filter_0(X22,X23)
| ~ l3_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23)
| v2_membered(X22)
| ~ v2_membered(u1_struct_0(X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_439])]) ).
fof(f1514,plain,
( ! [X22,X23] :
( ~ m1_filter_0(X22,X23)
| ~ l3_lattices(X23)
| ~ v10_lattices(X23)
| v3_struct_0(X23)
| v2_membered(X22)
| ~ v2_membered(u1_struct_0(X23)) )
| ~ spl28_161
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1246]) ).
fof(f3180,plain,
( spl28_438
| ~ spl28_160
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1513,f1496,f1241,f3178]) ).
fof(f3178,plain,
( spl28_438
<=> ! [X20,X21] :
( ~ m1_filter_0(X20,X21)
| ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| v1_membered(X20)
| ~ v2_membered(u1_struct_0(X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_438])]) ).
fof(f1513,plain,
( ! [X21,X20] :
( ~ m1_filter_0(X20,X21)
| ~ l3_lattices(X21)
| ~ v10_lattices(X21)
| v3_struct_0(X21)
| v1_membered(X20)
| ~ v2_membered(u1_struct_0(X21)) )
| ~ spl28_160
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1242]) ).
fof(f3176,plain,
( spl28_437
| ~ spl28_159
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1512,f1496,f1237,f3174]) ).
fof(f3174,plain,
( spl28_437
<=> ! [X18,X19] :
( ~ m1_filter_0(X18,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v3_membered(X18)
| ~ v3_membered(u1_struct_0(X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_437])]) ).
fof(f1512,plain,
( ! [X18,X19] :
( ~ m1_filter_0(X18,X19)
| ~ l3_lattices(X19)
| ~ v10_lattices(X19)
| v3_struct_0(X19)
| v3_membered(X18)
| ~ v3_membered(u1_struct_0(X19)) )
| ~ spl28_159
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1238]) ).
fof(f3172,plain,
( spl28_436
| ~ spl28_158
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1511,f1496,f1233,f3170]) ).
fof(f3170,plain,
( spl28_436
<=> ! [X16,X17] :
( ~ m1_filter_0(X16,X17)
| ~ l3_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| v2_membered(X16)
| ~ v3_membered(u1_struct_0(X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_436])]) ).
fof(f1511,plain,
( ! [X16,X17] :
( ~ m1_filter_0(X16,X17)
| ~ l3_lattices(X17)
| ~ v10_lattices(X17)
| v3_struct_0(X17)
| v2_membered(X16)
| ~ v3_membered(u1_struct_0(X17)) )
| ~ spl28_158
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1234]) ).
fof(f3168,plain,
( spl28_435
| ~ spl28_157
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1510,f1496,f1229,f3166]) ).
fof(f3166,plain,
( spl28_435
<=> ! [X14,X15] :
( ~ m1_filter_0(X14,X15)
| ~ l3_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| v1_membered(X14)
| ~ v3_membered(u1_struct_0(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_435])]) ).
fof(f1510,plain,
( ! [X14,X15] :
( ~ m1_filter_0(X14,X15)
| ~ l3_lattices(X15)
| ~ v10_lattices(X15)
| v3_struct_0(X15)
| v1_membered(X14)
| ~ v3_membered(u1_struct_0(X15)) )
| ~ spl28_157
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1230]) ).
fof(f3164,plain,
( spl28_434
| ~ spl28_154
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1509,f1496,f1216,f3162]) ).
fof(f3162,plain,
( spl28_434
<=> ! [X13,X12] :
( ~ m1_filter_0(X12,X13)
| ~ l3_lattices(X13)
| ~ v10_lattices(X13)
| v3_struct_0(X13)
| v4_membered(X12)
| ~ v4_membered(u1_struct_0(X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_434])]) ).
fof(f1509,plain,
( ! [X12,X13] :
( ~ m1_filter_0(X12,X13)
| ~ l3_lattices(X13)
| ~ v10_lattices(X13)
| v3_struct_0(X13)
| v4_membered(X12)
| ~ v4_membered(u1_struct_0(X13)) )
| ~ spl28_154
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1217]) ).
fof(f3160,plain,
( spl28_433
| ~ spl28_153
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1508,f1496,f1212,f3158]) ).
fof(f3158,plain,
( spl28_433
<=> ! [X11,X10] :
( ~ m1_filter_0(X10,X11)
| ~ l3_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| v3_membered(X10)
| ~ v4_membered(u1_struct_0(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_433])]) ).
fof(f1508,plain,
( ! [X10,X11] :
( ~ m1_filter_0(X10,X11)
| ~ l3_lattices(X11)
| ~ v10_lattices(X11)
| v3_struct_0(X11)
| v3_membered(X10)
| ~ v4_membered(u1_struct_0(X11)) )
| ~ spl28_153
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1213]) ).
fof(f3156,plain,
( spl28_432
| ~ spl28_152
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1507,f1496,f1208,f3154]) ).
fof(f3154,plain,
( spl28_432
<=> ! [X9,X8] :
( ~ m1_filter_0(X8,X9)
| ~ l3_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| v2_membered(X8)
| ~ v4_membered(u1_struct_0(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_432])]) ).
fof(f1507,plain,
( ! [X8,X9] :
( ~ m1_filter_0(X8,X9)
| ~ l3_lattices(X9)
| ~ v10_lattices(X9)
| v3_struct_0(X9)
| v2_membered(X8)
| ~ v4_membered(u1_struct_0(X9)) )
| ~ spl28_152
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1209]) ).
fof(f3152,plain,
( spl28_431
| ~ spl28_52
| ~ spl28_276 ),
inference(avatar_split_clause,[],[f2234,f2082,f704,f3150]) ).
fof(f2234,plain,
( ! [X0] :
( ~ v5_membered(X0)
| sP4(X0) )
| ~ spl28_52
| ~ spl28_276 ),
inference(resolution,[],[f2083,f705]) ).
fof(f3148,plain,
( spl28_430
| ~ spl28_151
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1506,f1496,f1204,f3146]) ).
fof(f3146,plain,
( spl28_430
<=> ! [X6,X7] :
( ~ m1_filter_0(X6,X7)
| ~ l3_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| v1_membered(X6)
| ~ v4_membered(u1_struct_0(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_430])]) ).
fof(f1506,plain,
( ! [X6,X7] :
( ~ m1_filter_0(X6,X7)
| ~ l3_lattices(X7)
| ~ v10_lattices(X7)
| v3_struct_0(X7)
| v1_membered(X6)
| ~ v4_membered(u1_struct_0(X7)) )
| ~ spl28_151
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1205]) ).
fof(f3144,plain,
( spl28_429
| ~ spl28_150
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1505,f1496,f1200,f3142]) ).
fof(f3142,plain,
( spl28_429
<=> ! [X4,X5] :
( ~ m1_filter_0(X4,X5)
| ~ l3_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| v1_finset_1(X4)
| ~ v1_finset_1(u1_struct_0(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_429])]) ).
fof(f1505,plain,
( ! [X4,X5] :
( ~ m1_filter_0(X4,X5)
| ~ l3_lattices(X5)
| ~ v10_lattices(X5)
| v3_struct_0(X5)
| v1_finset_1(X4)
| ~ v1_finset_1(u1_struct_0(X5)) )
| ~ spl28_150
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1201]) ).
fof(f3140,plain,
( spl28_428
| ~ spl28_149
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1504,f1496,f1196,f3138]) ).
fof(f3138,plain,
( spl28_428
<=> ! [X2,X3] :
( ~ m1_filter_0(X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| sP4(X2)
| ~ v5_membered(u1_struct_0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_428])]) ).
fof(f1504,plain,
( ! [X2,X3] :
( ~ m1_filter_0(X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| v3_struct_0(X3)
| sP4(X2)
| ~ v5_membered(u1_struct_0(X3)) )
| ~ spl28_149
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1197]) ).
fof(f3136,plain,
( spl28_427
| ~ spl28_163
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1410,f1368,f1253,f3134]) ).
fof(f1368,plain,
( spl28_173
<=> ! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_173])]) ).
fof(f1410,plain,
( ! [X26] :
( ~ l1_struct_0(X26)
| v3_struct_0(X26)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X26)))
| r2_hidden(sK11(X26),k1_zfmisc_1(u1_struct_0(X26))) )
| ~ spl28_163
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1254]) ).
fof(f1369,plain,
( ! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl28_173 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f3022,plain,
( spl28_426
| ~ spl28_269
| ~ spl28_273 ),
inference(avatar_split_clause,[],[f2078,f2042,f2025,f3020]) ).
fof(f3020,plain,
( spl28_426
<=> ! [X4,X3] : v1_relat_1(sK17(X3,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_426])]) ).
fof(f2078,plain,
( ! [X3,X4] : v1_relat_1(sK17(X3,X4))
| ~ spl28_269
| ~ spl28_273 ),
inference(resolution,[],[f2043,f2026]) ).
fof(f3018,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| spl28_425
| ~ spl28_28
| ~ spl28_189 ),
inference(avatar_split_clause,[],[f1543,f1535,f588,f3015,f668,f663,f628,f593]) ).
fof(f1535,plain,
( spl28_189
<=> ! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_189])]) ).
fof(f1543,plain,
( k7_lopclset(sK26) = a_1_1_lopclset(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl28_28
| ~ spl28_189 ),
inference(resolution,[],[f1536,f590]) ).
fof(f590,plain,
( l3_lattices(sK26)
| ~ spl28_28 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f1536,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k7_lopclset(X0) = a_1_1_lopclset(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_189 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f3008,plain,
( spl28_29
| ~ spl28_36
| ~ spl28_43
| spl28_44
| spl28_424
| ~ spl28_28
| ~ spl28_188 ),
inference(avatar_split_clause,[],[f1540,f1531,f588,f3005,f668,f663,f628,f593]) ).
fof(f1531,plain,
( spl28_188
<=> ! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_188])]) ).
fof(f1540,plain,
( k9_lopclset(sK26) = k8_lopclset(sK26)
| v3_realset2(sK26)
| ~ v17_lattices(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ spl28_28
| ~ spl28_188 ),
inference(resolution,[],[f1532,f590]) ).
fof(f1532,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| k9_lopclset(X0) = k8_lopclset(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_188 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f3003,plain,
( spl28_423
| ~ spl28_141
| ~ spl28_186 ),
inference(avatar_split_clause,[],[f1503,f1496,f1092,f3001]) ).
fof(f3001,plain,
( spl28_423
<=> ! [X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_423])]) ).
fof(f1503,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl28_141
| ~ spl28_186 ),
inference(resolution,[],[f1497,f1093]) ).
fof(f2999,plain,
( spl28_422
| ~ spl28_117
| ~ spl28_183 ),
inference(avatar_split_clause,[],[f1489,f1473,f991,f2997]) ).
fof(f2997,plain,
( spl28_422
<=> ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X3)
| X2 = X3
| ~ r2_hidden(X2,sK15(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_422])]) ).
fof(f1489,plain,
( ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X3)
| X2 = X3
| ~ r2_hidden(X2,sK15(X2,X3)) )
| ~ spl28_117
| ~ spl28_183 ),
inference(resolution,[],[f1474,f992]) ).
fof(f2995,plain,
( spl28_421
| ~ spl28_119
| ~ spl28_183 ),
inference(avatar_split_clause,[],[f1488,f1473,f1000,f2993]) ).
fof(f1488,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK15(X0,X1),X0) )
| ~ spl28_119
| ~ spl28_183 ),
inference(resolution,[],[f1474,f1001]) ).
fof(f2991,plain,
( spl28_420
| ~ spl28_117
| ~ spl28_183 ),
inference(avatar_split_clause,[],[f1486,f1473,f991,f2989]) ).
fof(f2989,plain,
( spl28_420
<=> ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X2)
| X2 = X3
| ~ r2_hidden(X3,sK15(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_420])]) ).
fof(f1486,plain,
( ! [X2,X3] :
( r2_hidden(sK15(X2,X3),X2)
| X2 = X3
| ~ r2_hidden(X3,sK15(X2,X3)) )
| ~ spl28_117
| ~ spl28_183 ),
inference(resolution,[],[f1474,f992]) ).
fof(f2987,plain,
( spl28_419
| ~ spl28_119
| ~ spl28_183 ),
inference(avatar_split_clause,[],[f1485,f1473,f1000,f2985]) ).
fof(f1485,plain,
( ! [X0,X1] :
( r2_hidden(sK15(X0,X1),X0)
| X0 = X1
| m1_subset_1(sK15(X0,X1),X1) )
| ~ spl28_119
| ~ spl28_183 ),
inference(resolution,[],[f1474,f1001]) ).
fof(f2973,plain,
( spl28_418
| ~ spl28_120
| ~ spl28_273 ),
inference(avatar_split_clause,[],[f2077,f2042,f1004,f2971]) ).
fof(f2971,plain,
( spl28_418
<=> ! [X2,X1] : v1_relat_1(sK16(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_418])]) ).
fof(f2077,plain,
( ! [X2,X1] : v1_relat_1(sK16(X1,X2))
| ~ spl28_120
| ~ spl28_273 ),
inference(resolution,[],[f2043,f1005]) ).
fof(f2969,plain,
( spl28_417
| ~ spl28_173
| ~ spl28_176 ),
inference(avatar_split_clause,[],[f1442,f1380,f1368,f2967]) ).
fof(f1442,plain,
( ! [X11,X12] :
( m1_subset_1(X11,u1_struct_0(X12))
| ~ r2_hidden(X11,sK11(X12))
| ~ l1_struct_0(X12)
| v3_struct_0(X12) )
| ~ spl28_173
| ~ spl28_176 ),
inference(resolution,[],[f1381,f1369]) ).
fof(f2965,plain,
( spl28_416
| ~ spl28_175
| ~ spl28_176 ),
inference(avatar_split_clause,[],[f1439,f1380,f1376,f2963]) ).
fof(f1439,plain,
( ! [X3,X6,X4,X5] :
( m1_subset_1(X3,k2_zfmisc_1(X4,X5))
| ~ r2_hidden(X3,X6)
| ~ m2_relset_1(X6,X4,X5) )
| ~ spl28_175
| ~ spl28_176 ),
inference(resolution,[],[f1381,f1377]) ).
fof(f2956,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| ~ spl28_5
| ~ spl28_415
| ~ spl28_179
| ~ spl28_227 ),
inference(avatar_split_clause,[],[f1832,f1824,f1457,f2953,f473,f468,f463,f458,f453]) ).
fof(f1832,plain,
( ~ v1_xboole_0(a_1_1_lopclset(sK6))
| ~ l3_lattices(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_179
| ~ spl28_227 ),
inference(superposition,[],[f1458,f1826]) ).
fof(f2951,plain,
( spl28_414
| ~ spl28_138
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1436,f1376,f1080,f2949]) ).
fof(f2949,plain,
( spl28_414
<=> ! [X77,X76,X78] :
( ~ m2_relset_1(X76,X77,X78)
| v1_xcmplx_0(X76)
| ~ v1_membered(k1_zfmisc_1(k2_zfmisc_1(X77,X78))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_414])]) ).
fof(f1436,plain,
( ! [X78,X76,X77] :
( ~ m2_relset_1(X76,X77,X78)
| v1_xcmplx_0(X76)
| ~ v1_membered(k1_zfmisc_1(k2_zfmisc_1(X77,X78))) )
| ~ spl28_138
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1081]) ).
fof(f2947,plain,
( spl28_413
| ~ spl28_137
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1435,f1376,f1076,f2945]) ).
fof(f2945,plain,
( spl28_413
<=> ! [X73,X75,X74] :
( ~ m2_relset_1(X73,X74,X75)
| v1_xreal_0(X73)
| ~ v2_membered(k1_zfmisc_1(k2_zfmisc_1(X74,X75))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_413])]) ).
fof(f1435,plain,
( ! [X73,X74,X75] :
( ~ m2_relset_1(X73,X74,X75)
| v1_xreal_0(X73)
| ~ v2_membered(k1_zfmisc_1(k2_zfmisc_1(X74,X75))) )
| ~ spl28_137
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1077]) ).
fof(f2943,plain,
( spl28_412
| ~ spl28_136
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1434,f1376,f1072,f2941]) ).
fof(f2941,plain,
( spl28_412
<=> ! [X70,X72,X71] :
( ~ m2_relset_1(X70,X71,X72)
| v1_xcmplx_0(X70)
| ~ v2_membered(k1_zfmisc_1(k2_zfmisc_1(X71,X72))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_412])]) ).
fof(f1434,plain,
( ! [X72,X70,X71] :
( ~ m2_relset_1(X70,X71,X72)
| v1_xcmplx_0(X70)
| ~ v2_membered(k1_zfmisc_1(k2_zfmisc_1(X71,X72))) )
| ~ spl28_136
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1073]) ).
fof(f2939,plain,
( spl28_411
| ~ spl28_135
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1433,f1376,f1068,f2937]) ).
fof(f2937,plain,
( spl28_411
<=> ! [X69,X68,X67] :
( ~ m2_relset_1(X67,X68,X69)
| v1_rat_1(X67)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(X68,X69))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_411])]) ).
fof(f1433,plain,
( ! [X68,X69,X67] :
( ~ m2_relset_1(X67,X68,X69)
| v1_rat_1(X67)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(X68,X69))) )
| ~ spl28_135
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1069]) ).
fof(f2935,plain,
( spl28_410
| ~ spl28_134
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1432,f1376,f1064,f2933]) ).
fof(f2933,plain,
( spl28_410
<=> ! [X66,X64,X65] :
( ~ m2_relset_1(X64,X65,X66)
| v1_xreal_0(X64)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(X65,X66))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_410])]) ).
fof(f1432,plain,
( ! [X65,X66,X64] :
( ~ m2_relset_1(X64,X65,X66)
| v1_xreal_0(X64)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(X65,X66))) )
| ~ spl28_134
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1065]) ).
fof(f2931,plain,
( spl28_409
| ~ spl28_133
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1431,f1376,f1060,f2929]) ).
fof(f2929,plain,
( spl28_409
<=> ! [X61,X62,X63] :
( ~ m2_relset_1(X61,X62,X63)
| v1_xcmplx_0(X61)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(X62,X63))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_409])]) ).
fof(f1431,plain,
( ! [X62,X63,X61] :
( ~ m2_relset_1(X61,X62,X63)
| v1_xcmplx_0(X61)
| ~ v3_membered(k1_zfmisc_1(k2_zfmisc_1(X62,X63))) )
| ~ spl28_133
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1061]) ).
fof(f2927,plain,
( spl28_408
| ~ spl28_132
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1430,f1376,f1056,f2925]) ).
fof(f2925,plain,
( spl28_408
<=> ! [X58,X60,X59] :
( ~ m2_relset_1(X58,X59,X60)
| v1_rat_1(X58)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X59,X60))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_408])]) ).
fof(f1430,plain,
( ! [X58,X59,X60] :
( ~ m2_relset_1(X58,X59,X60)
| v1_rat_1(X58)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X59,X60))) )
| ~ spl28_132
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1057]) ).
fof(f2923,plain,
( spl28_407
| ~ spl28_130
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1429,f1376,f1047,f2921]) ).
fof(f2921,plain,
( spl28_407
<=> ! [X57,X55,X56] :
( ~ m2_relset_1(X55,X56,X57)
| v1_int_1(X55)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X56,X57))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_407])]) ).
fof(f1429,plain,
( ! [X56,X57,X55] :
( ~ m2_relset_1(X55,X56,X57)
| v1_int_1(X55)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X56,X57))) )
| ~ spl28_130
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1048]) ).
fof(f2919,plain,
( spl28_406
| ~ spl28_129
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1428,f1376,f1043,f2917]) ).
fof(f2917,plain,
( spl28_406
<=> ! [X54,X52,X53] :
( ~ m2_relset_1(X52,X53,X54)
| v1_xreal_0(X52)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X53,X54))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_406])]) ).
fof(f1428,plain,
( ! [X54,X52,X53] :
( ~ m2_relset_1(X52,X53,X54)
| v1_xreal_0(X52)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X53,X54))) )
| ~ spl28_129
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1044]) ).
fof(f2915,plain,
( spl28_405
| ~ spl28_128
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1427,f1376,f1039,f2913]) ).
fof(f2913,plain,
( spl28_405
<=> ! [X50,X51,X49] :
( ~ m2_relset_1(X49,X50,X51)
| v1_xcmplx_0(X49)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X50,X51))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_405])]) ).
fof(f1427,plain,
( ! [X50,X51,X49] :
( ~ m2_relset_1(X49,X50,X51)
| v1_xcmplx_0(X49)
| ~ v4_membered(k1_zfmisc_1(k2_zfmisc_1(X50,X51))) )
| ~ spl28_128
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1040]) ).
fof(f2911,plain,
( spl28_404
| ~ spl28_127
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1426,f1376,f1035,f2909]) ).
fof(f2909,plain,
( spl28_404
<=> ! [X48,X46,X47] :
( ~ m2_relset_1(X46,X47,X48)
| sP3(X46)
| ~ v5_membered(k1_zfmisc_1(k2_zfmisc_1(X47,X48))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_404])]) ).
fof(f1426,plain,
( ! [X48,X46,X47] :
( ~ m2_relset_1(X46,X47,X48)
| sP3(X46)
| ~ v5_membered(k1_zfmisc_1(k2_zfmisc_1(X47,X48))) )
| ~ spl28_127
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1036]) ).
fof(f2907,plain,
( spl28_403
| ~ spl28_170
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1425,f1376,f1352,f2905]) ).
fof(f1425,plain,
( ! [X44,X45,X42,X43] :
( ~ m2_relset_1(X42,X43,X44)
| ~ v1_xboole_0(k2_zfmisc_1(X43,X44))
| ~ r2_hidden(X45,X42) )
| ~ spl28_170
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1353]) ).
fof(f2903,plain,
( spl28_402
| ~ spl28_138
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1409,f1368,f1080,f2901]) ).
fof(f2901,plain,
( spl28_402
<=> ! [X25] :
( ~ l1_struct_0(X25)
| v3_struct_0(X25)
| v1_xcmplx_0(sK11(X25))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X25))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_402])]) ).
fof(f1409,plain,
( ! [X25] :
( ~ l1_struct_0(X25)
| v3_struct_0(X25)
| v1_xcmplx_0(sK11(X25))
| ~ v1_membered(k1_zfmisc_1(u1_struct_0(X25))) )
| ~ spl28_138
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1081]) ).
fof(f2899,plain,
( spl28_401
| ~ spl28_137
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1408,f1368,f1076,f2897]) ).
fof(f2897,plain,
( spl28_401
<=> ! [X24] :
( ~ l1_struct_0(X24)
| v3_struct_0(X24)
| v1_xreal_0(sK11(X24))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_401])]) ).
fof(f1408,plain,
( ! [X24] :
( ~ l1_struct_0(X24)
| v3_struct_0(X24)
| v1_xreal_0(sK11(X24))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X24))) )
| ~ spl28_137
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1077]) ).
fof(f2895,plain,
( spl28_400
| ~ spl28_136
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1407,f1368,f1072,f2893]) ).
fof(f2893,plain,
( spl28_400
<=> ! [X23] :
( ~ l1_struct_0(X23)
| v3_struct_0(X23)
| v1_xcmplx_0(sK11(X23))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_400])]) ).
fof(f1407,plain,
( ! [X23] :
( ~ l1_struct_0(X23)
| v3_struct_0(X23)
| v1_xcmplx_0(sK11(X23))
| ~ v2_membered(k1_zfmisc_1(u1_struct_0(X23))) )
| ~ spl28_136
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1073]) ).
fof(f2891,plain,
( ~ spl28_399
| spl28_47
| ~ spl28_227 ),
inference(avatar_split_clause,[],[f1828,f1824,f683,f2888]) ).
fof(f683,plain,
( spl28_47
<=> r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_47])]) ).
fof(f1828,plain,
( ~ r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(a_1_1_lopclset(sK6)),k9_lopclset(sK6),sK7))
| spl28_47
| ~ spl28_227 ),
inference(superposition,[],[f685,f1826]) ).
fof(f685,plain,
( ~ r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7))
| spl28_47 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f2886,plain,
( spl28_398
| ~ spl28_135
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1406,f1368,f1068,f2884]) ).
fof(f2884,plain,
( spl28_398
<=> ! [X22] :
( ~ l1_struct_0(X22)
| v3_struct_0(X22)
| v1_rat_1(sK11(X22))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_398])]) ).
fof(f1406,plain,
( ! [X22] :
( ~ l1_struct_0(X22)
| v3_struct_0(X22)
| v1_rat_1(sK11(X22))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X22))) )
| ~ spl28_135
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1069]) ).
fof(f2882,plain,
( spl28_397
| ~ spl28_134
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1405,f1368,f1064,f2880]) ).
fof(f2880,plain,
( spl28_397
<=> ! [X21] :
( ~ l1_struct_0(X21)
| v3_struct_0(X21)
| v1_xreal_0(sK11(X21))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_397])]) ).
fof(f1405,plain,
( ! [X21] :
( ~ l1_struct_0(X21)
| v3_struct_0(X21)
| v1_xreal_0(sK11(X21))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X21))) )
| ~ spl28_134
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1065]) ).
fof(f2878,plain,
( spl28_396
| ~ spl28_133
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1404,f1368,f1060,f2876]) ).
fof(f2876,plain,
( spl28_396
<=> ! [X20] :
( ~ l1_struct_0(X20)
| v3_struct_0(X20)
| v1_xcmplx_0(sK11(X20))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X20))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_396])]) ).
fof(f1404,plain,
( ! [X20] :
( ~ l1_struct_0(X20)
| v3_struct_0(X20)
| v1_xcmplx_0(sK11(X20))
| ~ v3_membered(k1_zfmisc_1(u1_struct_0(X20))) )
| ~ spl28_133
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1061]) ).
fof(f2874,plain,
( spl28_395
| ~ spl28_132
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1403,f1368,f1056,f2872]) ).
fof(f2872,plain,
( spl28_395
<=> ! [X19] :
( ~ l1_struct_0(X19)
| v3_struct_0(X19)
| v1_rat_1(sK11(X19))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_395])]) ).
fof(f1403,plain,
( ! [X19] :
( ~ l1_struct_0(X19)
| v3_struct_0(X19)
| v1_rat_1(sK11(X19))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X19))) )
| ~ spl28_132
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1057]) ).
fof(f2870,plain,
( spl28_394
| ~ spl28_130
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1402,f1368,f1047,f2868]) ).
fof(f2868,plain,
( spl28_394
<=> ! [X18] :
( ~ l1_struct_0(X18)
| v3_struct_0(X18)
| v1_int_1(sK11(X18))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_394])]) ).
fof(f1402,plain,
( ! [X18] :
( ~ l1_struct_0(X18)
| v3_struct_0(X18)
| v1_int_1(sK11(X18))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X18))) )
| ~ spl28_130
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1048]) ).
fof(f2866,plain,
( spl28_393
| ~ spl28_129
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1401,f1368,f1043,f2864]) ).
fof(f2864,plain,
( spl28_393
<=> ! [X17] :
( ~ l1_struct_0(X17)
| v3_struct_0(X17)
| v1_xreal_0(sK11(X17))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X17))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_393])]) ).
fof(f1401,plain,
( ! [X17] :
( ~ l1_struct_0(X17)
| v3_struct_0(X17)
| v1_xreal_0(sK11(X17))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X17))) )
| ~ spl28_129
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1044]) ).
fof(f2862,plain,
( spl28_392
| ~ spl28_128
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1400,f1368,f1039,f2860]) ).
fof(f2860,plain,
( spl28_392
<=> ! [X16] :
( ~ l1_struct_0(X16)
| v3_struct_0(X16)
| v1_xcmplx_0(sK11(X16))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_392])]) ).
fof(f1400,plain,
( ! [X16] :
( ~ l1_struct_0(X16)
| v3_struct_0(X16)
| v1_xcmplx_0(sK11(X16))
| ~ v4_membered(k1_zfmisc_1(u1_struct_0(X16))) )
| ~ spl28_128
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1040]) ).
fof(f2858,plain,
( spl28_391
| ~ spl28_127
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1399,f1368,f1035,f2856]) ).
fof(f2856,plain,
( spl28_391
<=> ! [X15] :
( ~ l1_struct_0(X15)
| v3_struct_0(X15)
| sP3(sK11(X15))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_391])]) ).
fof(f1399,plain,
( ! [X15] :
( ~ l1_struct_0(X15)
| v3_struct_0(X15)
| sP3(sK11(X15))
| ~ v5_membered(k1_zfmisc_1(u1_struct_0(X15))) )
| ~ spl28_127
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1036]) ).
fof(f2780,plain,
( spl28_390
| ~ spl28_73
| ~ spl28_386 ),
inference(avatar_split_clause,[],[f2765,f2731,f788,f2777]) ).
fof(f2777,plain,
( spl28_390
<=> v12_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_390])]) ).
fof(f788,plain,
( spl28_73
<=> ! [X0] :
( v12_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_73])]) ).
fof(f2731,plain,
( spl28_386
<=> sP1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_386])]) ).
fof(f2765,plain,
( v12_lattices(sK6)
| ~ spl28_73
| ~ spl28_386 ),
inference(resolution,[],[f2733,f789]) ).
fof(f789,plain,
( ! [X0] :
( ~ sP1(X0)
| v12_lattices(X0) )
| ~ spl28_73 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f2733,plain,
( sP1(sK6)
| ~ spl28_386 ),
inference(avatar_component_clause,[],[f2731]) ).
fof(f2746,plain,
( spl28_389
| ~ spl28_115
| ~ spl28_183 ),
inference(avatar_split_clause,[],[f1490,f1473,f981,f2744]) ).
fof(f1490,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X5)
| X4 = X5
| ~ v1_xboole_0(X4) )
| ~ spl28_115
| ~ spl28_183 ),
inference(resolution,[],[f1474,f982]) ).
fof(f2742,plain,
( spl28_388
| ~ spl28_115
| ~ spl28_183 ),
inference(avatar_split_clause,[],[f1487,f1473,f981,f2740]) ).
fof(f1487,plain,
( ! [X4,X5] :
( r2_hidden(sK15(X4,X5),X4)
| X4 = X5
| ~ v1_xboole_0(X5) )
| ~ spl28_115
| ~ spl28_183 ),
inference(resolution,[],[f1474,f982]) ).
fof(f2738,plain,
( spl28_387
| ~ spl28_162
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1424,f1376,f1249,f2736]) ).
fof(f1424,plain,
( ! [X40,X41,X39] :
( ~ m2_relset_1(X39,X40,X41)
| v1_membered(X39)
| ~ v1_membered(k2_zfmisc_1(X40,X41)) )
| ~ spl28_162
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1250]) ).
fof(f2734,plain,
( ~ spl28_5
| spl28_1
| ~ spl28_2
| spl28_386
| ~ spl28_172
| ~ spl28_242 ),
inference(avatar_split_clause,[],[f2282,f1897,f1364,f2731,f458,f453,f473]) ).
fof(f1364,plain,
( spl28_172
<=> ! [X0] :
( sP1(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_172])]) ).
fof(f1897,plain,
( spl28_242
<=> v11_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_242])]) ).
fof(f2282,plain,
( sP1(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ l3_lattices(sK6)
| ~ spl28_172
| ~ spl28_242 ),
inference(resolution,[],[f1899,f1365]) ).
fof(f1365,plain,
( ! [X0] :
( ~ v11_lattices(X0)
| sP1(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) )
| ~ spl28_172 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1899,plain,
( v11_lattices(sK6)
| ~ spl28_242 ),
inference(avatar_component_clause,[],[f1897]) ).
fof(f2729,plain,
( spl28_385
| ~ spl28_161
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1423,f1376,f1245,f2727]) ).
fof(f1423,plain,
( ! [X38,X36,X37] :
( ~ m2_relset_1(X36,X37,X38)
| v2_membered(X36)
| ~ v2_membered(k2_zfmisc_1(X37,X38)) )
| ~ spl28_161
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1246]) ).
fof(f2725,plain,
( spl28_384
| ~ spl28_160
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1422,f1376,f1241,f2723]) ).
fof(f1422,plain,
( ! [X34,X35,X33] :
( ~ m2_relset_1(X33,X34,X35)
| v1_membered(X33)
| ~ v2_membered(k2_zfmisc_1(X34,X35)) )
| ~ spl28_160
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1242]) ).
fof(f2721,plain,
( spl28_383
| ~ spl28_159
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1421,f1376,f1237,f2719]) ).
fof(f1421,plain,
( ! [X31,X32,X30] :
( ~ m2_relset_1(X30,X31,X32)
| v3_membered(X30)
| ~ v3_membered(k2_zfmisc_1(X31,X32)) )
| ~ spl28_159
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1238]) ).
fof(f2717,plain,
( spl28_382
| ~ spl28_158
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1420,f1376,f1233,f2715]) ).
fof(f1420,plain,
( ! [X28,X29,X27] :
( ~ m2_relset_1(X27,X28,X29)
| v2_membered(X27)
| ~ v3_membered(k2_zfmisc_1(X28,X29)) )
| ~ spl28_158
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1234]) ).
fof(f2713,plain,
( spl28_381
| ~ spl28_157
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1419,f1376,f1229,f2711]) ).
fof(f1419,plain,
( ! [X26,X24,X25] :
( ~ m2_relset_1(X24,X25,X26)
| v1_membered(X24)
| ~ v3_membered(k2_zfmisc_1(X25,X26)) )
| ~ spl28_157
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1230]) ).
fof(f2709,plain,
( spl28_380
| ~ spl28_154
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1418,f1376,f1216,f2707]) ).
fof(f1418,plain,
( ! [X21,X22,X23] :
( ~ m2_relset_1(X21,X22,X23)
| v4_membered(X21)
| ~ v4_membered(k2_zfmisc_1(X22,X23)) )
| ~ spl28_154
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1217]) ).
fof(f2705,plain,
( spl28_379
| ~ spl28_153
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1417,f1376,f1212,f2703]) ).
fof(f1417,plain,
( ! [X18,X19,X20] :
( ~ m2_relset_1(X18,X19,X20)
| v3_membered(X18)
| ~ v4_membered(k2_zfmisc_1(X19,X20)) )
| ~ spl28_153
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1213]) ).
fof(f2701,plain,
( spl28_378
| ~ spl28_152
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1416,f1376,f1208,f2699]) ).
fof(f1416,plain,
( ! [X16,X17,X15] :
( ~ m2_relset_1(X15,X16,X17)
| v2_membered(X15)
| ~ v4_membered(k2_zfmisc_1(X16,X17)) )
| ~ spl28_152
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1209]) ).
fof(f2697,plain,
( spl28_377
| ~ spl28_151
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1415,f1376,f1204,f2695]) ).
fof(f1415,plain,
( ! [X14,X12,X13] :
( ~ m2_relset_1(X12,X13,X14)
| v1_membered(X12)
| ~ v4_membered(k2_zfmisc_1(X13,X14)) )
| ~ spl28_151
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1205]) ).
fof(f2693,plain,
( spl28_376
| ~ spl28_150
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1414,f1376,f1200,f2691]) ).
fof(f1414,plain,
( ! [X10,X11,X9] :
( ~ m2_relset_1(X9,X10,X11)
| v1_finset_1(X9)
| ~ v1_finset_1(k2_zfmisc_1(X10,X11)) )
| ~ spl28_150
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1201]) ).
fof(f2689,plain,
( spl28_375
| ~ spl28_149
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1413,f1376,f1196,f2687]) ).
fof(f1413,plain,
( ! [X8,X6,X7] :
( ~ m2_relset_1(X6,X7,X8)
| sP4(X6)
| ~ v5_membered(k2_zfmisc_1(X7,X8)) )
| ~ spl28_149
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1197]) ).
fof(f2685,plain,
( spl28_374
| ~ spl28_162
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1397,f1368,f1249,f2683]) ).
fof(f2683,plain,
( spl28_374
<=> ! [X12] :
( ~ l1_struct_0(X12)
| v3_struct_0(X12)
| v1_membered(sK11(X12))
| ~ v1_membered(u1_struct_0(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_374])]) ).
fof(f1397,plain,
( ! [X12] :
( ~ l1_struct_0(X12)
| v3_struct_0(X12)
| v1_membered(sK11(X12))
| ~ v1_membered(u1_struct_0(X12)) )
| ~ spl28_162
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1250]) ).
fof(f2681,plain,
( spl28_373
| ~ spl28_161
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1396,f1368,f1245,f2679]) ).
fof(f2679,plain,
( spl28_373
<=> ! [X11] :
( ~ l1_struct_0(X11)
| v3_struct_0(X11)
| v2_membered(sK11(X11))
| ~ v2_membered(u1_struct_0(X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_373])]) ).
fof(f1396,plain,
( ! [X11] :
( ~ l1_struct_0(X11)
| v3_struct_0(X11)
| v2_membered(sK11(X11))
| ~ v2_membered(u1_struct_0(X11)) )
| ~ spl28_161
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1246]) ).
fof(f2677,plain,
( spl28_372
| ~ spl28_160
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1395,f1368,f1241,f2675]) ).
fof(f2675,plain,
( spl28_372
<=> ! [X10] :
( ~ l1_struct_0(X10)
| v3_struct_0(X10)
| v1_membered(sK11(X10))
| ~ v2_membered(u1_struct_0(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_372])]) ).
fof(f1395,plain,
( ! [X10] :
( ~ l1_struct_0(X10)
| v3_struct_0(X10)
| v1_membered(sK11(X10))
| ~ v2_membered(u1_struct_0(X10)) )
| ~ spl28_160
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1242]) ).
fof(f2673,plain,
( spl28_371
| ~ spl28_159
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1394,f1368,f1237,f2671]) ).
fof(f2671,plain,
( spl28_371
<=> ! [X9] :
( ~ l1_struct_0(X9)
| v3_struct_0(X9)
| v3_membered(sK11(X9))
| ~ v3_membered(u1_struct_0(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_371])]) ).
fof(f1394,plain,
( ! [X9] :
( ~ l1_struct_0(X9)
| v3_struct_0(X9)
| v3_membered(sK11(X9))
| ~ v3_membered(u1_struct_0(X9)) )
| ~ spl28_159
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1238]) ).
fof(f2669,plain,
( spl28_370
| ~ spl28_158
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1393,f1368,f1233,f2667]) ).
fof(f2667,plain,
( spl28_370
<=> ! [X8] :
( ~ l1_struct_0(X8)
| v3_struct_0(X8)
| v2_membered(sK11(X8))
| ~ v3_membered(u1_struct_0(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_370])]) ).
fof(f1393,plain,
( ! [X8] :
( ~ l1_struct_0(X8)
| v3_struct_0(X8)
| v2_membered(sK11(X8))
| ~ v3_membered(u1_struct_0(X8)) )
| ~ spl28_158
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1234]) ).
fof(f2665,plain,
( spl28_369
| ~ spl28_157
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1392,f1368,f1229,f2663]) ).
fof(f2663,plain,
( spl28_369
<=> ! [X7] :
( ~ l1_struct_0(X7)
| v3_struct_0(X7)
| v1_membered(sK11(X7))
| ~ v3_membered(u1_struct_0(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_369])]) ).
fof(f1392,plain,
( ! [X7] :
( ~ l1_struct_0(X7)
| v3_struct_0(X7)
| v1_membered(sK11(X7))
| ~ v3_membered(u1_struct_0(X7)) )
| ~ spl28_157
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1230]) ).
fof(f2661,plain,
( spl28_368
| ~ spl28_154
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1391,f1368,f1216,f2659]) ).
fof(f2659,plain,
( spl28_368
<=> ! [X6] :
( ~ l1_struct_0(X6)
| v3_struct_0(X6)
| v4_membered(sK11(X6))
| ~ v4_membered(u1_struct_0(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_368])]) ).
fof(f1391,plain,
( ! [X6] :
( ~ l1_struct_0(X6)
| v3_struct_0(X6)
| v4_membered(sK11(X6))
| ~ v4_membered(u1_struct_0(X6)) )
| ~ spl28_154
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1217]) ).
fof(f2657,plain,
( spl28_367
| ~ spl28_153
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1390,f1368,f1212,f2655]) ).
fof(f2655,plain,
( spl28_367
<=> ! [X5] :
( ~ l1_struct_0(X5)
| v3_struct_0(X5)
| v3_membered(sK11(X5))
| ~ v4_membered(u1_struct_0(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_367])]) ).
fof(f1390,plain,
( ! [X5] :
( ~ l1_struct_0(X5)
| v3_struct_0(X5)
| v3_membered(sK11(X5))
| ~ v4_membered(u1_struct_0(X5)) )
| ~ spl28_153
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1213]) ).
fof(f2653,plain,
( spl28_366
| ~ spl28_152
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1389,f1368,f1208,f2651]) ).
fof(f2651,plain,
( spl28_366
<=> ! [X4] :
( ~ l1_struct_0(X4)
| v3_struct_0(X4)
| v2_membered(sK11(X4))
| ~ v4_membered(u1_struct_0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_366])]) ).
fof(f1389,plain,
( ! [X4] :
( ~ l1_struct_0(X4)
| v3_struct_0(X4)
| v2_membered(sK11(X4))
| ~ v4_membered(u1_struct_0(X4)) )
| ~ spl28_152
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1209]) ).
fof(f2649,plain,
( spl28_365
| ~ spl28_151
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1388,f1368,f1204,f2647]) ).
fof(f2647,plain,
( spl28_365
<=> ! [X3] :
( ~ l1_struct_0(X3)
| v3_struct_0(X3)
| v1_membered(sK11(X3))
| ~ v4_membered(u1_struct_0(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_365])]) ).
fof(f1388,plain,
( ! [X3] :
( ~ l1_struct_0(X3)
| v3_struct_0(X3)
| v1_membered(sK11(X3))
| ~ v4_membered(u1_struct_0(X3)) )
| ~ spl28_151
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1205]) ).
fof(f2645,plain,
( spl28_364
| ~ spl28_150
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1387,f1368,f1200,f2643]) ).
fof(f2643,plain,
( spl28_364
<=> ! [X2] :
( ~ l1_struct_0(X2)
| v3_struct_0(X2)
| v1_finset_1(sK11(X2))
| ~ v1_finset_1(u1_struct_0(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_364])]) ).
fof(f1387,plain,
( ! [X2] :
( ~ l1_struct_0(X2)
| v3_struct_0(X2)
| v1_finset_1(sK11(X2))
| ~ v1_finset_1(u1_struct_0(X2)) )
| ~ spl28_150
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1201]) ).
fof(f2641,plain,
( spl28_363
| ~ spl28_149
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1386,f1368,f1196,f2639]) ).
fof(f2639,plain,
( spl28_363
<=> ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sP4(sK11(X1))
| ~ v5_membered(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_363])]) ).
fof(f1386,plain,
( ! [X1] :
( ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sP4(sK11(X1))
| ~ v5_membered(u1_struct_0(X1)) )
| ~ spl28_149
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1197]) ).
fof(f2637,plain,
( spl28_362
| ~ spl28_126
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f1332,f1253,f1031,f2635]) ).
fof(f1031,plain,
( spl28_126
<=> ! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_126])]) ).
fof(f1332,plain,
( ! [X3] :
( v1_xboole_0(k1_zfmisc_1(X3))
| r2_hidden(sK10(X3),k1_zfmisc_1(X3))
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_163 ),
inference(resolution,[],[f1254,f1032]) ).
fof(f1032,plain,
( ! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_126 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f2633,plain,
( spl28_361
| ~ spl28_125
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f1331,f1253,f1027,f2631]) ).
fof(f1027,plain,
( spl28_125
<=> ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_125])]) ).
fof(f1331,plain,
( ! [X2] :
( v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(sK9(X2),k1_zfmisc_1(X2))
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_163 ),
inference(resolution,[],[f1254,f1028]) ).
fof(f1028,plain,
( ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f2629,plain,
( spl28_360
| ~ spl28_143
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f1328,f1253,f1101,f2627]) ).
fof(f1101,plain,
( spl28_143
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_143])]) ).
fof(f1328,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl28_143
| ~ spl28_163 ),
inference(resolution,[],[f1254,f1102]) ).
fof(f1102,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl28_143 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f2613,plain,
( spl28_359
| ~ spl28_54
| ~ spl28_220 ),
inference(avatar_split_clause,[],[f1800,f1775,f712,f2610]) ).
fof(f2610,plain,
( spl28_359
<=> l1_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_359])]) ).
fof(f712,plain,
( spl28_54
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_54])]) ).
fof(f1775,plain,
( spl28_220
<=> l1_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_220])]) ).
fof(f1800,plain,
( l1_struct_0(sK26)
| ~ spl28_54
| ~ spl28_220 ),
inference(resolution,[],[f1777,f713]) ).
fof(f713,plain,
( ! [X0] :
( ~ l1_lattices(X0)
| l1_struct_0(X0) )
| ~ spl28_54 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1777,plain,
( l1_lattices(sK26)
| ~ spl28_220 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f2559,plain,
( spl28_358
| ~ spl28_174
| ~ spl28_177 ),
inference(avatar_split_clause,[],[f1450,f1445,f1372,f2557]) ).
fof(f2557,plain,
( spl28_358
<=> ! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_358])]) ).
fof(f1372,plain,
( spl28_174
<=> ! [X0] :
( m1_filter_0(sK12(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_174])]) ).
fof(f1450,plain,
( ! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_174
| ~ spl28_177 ),
inference(duplicate_literal_removal,[],[f1449]) ).
fof(f1449,plain,
( ! [X0] :
( ~ v1_xboole_0(sK12(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_174
| ~ spl28_177 ),
inference(resolution,[],[f1446,f1373]) ).
fof(f1373,plain,
( ! [X0] :
( m1_filter_0(sK12(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) )
| ~ spl28_174 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f2555,plain,
( spl28_357
| ~ spl28_126
| ~ spl28_176 ),
inference(avatar_split_clause,[],[f1441,f1380,f1031,f2553]) ).
fof(f1441,plain,
( ! [X10,X9] :
( m1_subset_1(X9,X10)
| ~ r2_hidden(X9,sK10(X10))
| v1_xboole_0(X10) )
| ~ spl28_126
| ~ spl28_176 ),
inference(resolution,[],[f1381,f1032]) ).
fof(f2551,plain,
( spl28_356
| ~ spl28_125
| ~ spl28_176 ),
inference(avatar_split_clause,[],[f1440,f1380,f1027,f2549]) ).
fof(f1440,plain,
( ! [X8,X7] :
( m1_subset_1(X7,X8)
| ~ r2_hidden(X7,sK9(X8))
| v1_xboole_0(X8) )
| ~ spl28_125
| ~ spl28_176 ),
inference(resolution,[],[f1381,f1028]) ).
fof(f2547,plain,
( spl28_355
| ~ spl28_143
| ~ spl28_176 ),
inference(avatar_split_clause,[],[f1438,f1380,f1101,f2545]) ).
fof(f1438,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl28_143
| ~ spl28_176 ),
inference(resolution,[],[f1381,f1102]) ).
fof(f2543,plain,
( spl28_354
| ~ spl28_141
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1412,f1376,f1092,f2541]) ).
fof(f2541,plain,
( spl28_354
<=> ! [X4,X5,X3] :
( ~ m2_relset_1(X3,X4,X5)
| r1_tarski(X3,k2_zfmisc_1(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_354])]) ).
fof(f1412,plain,
( ! [X3,X4,X5] :
( ~ m2_relset_1(X3,X4,X5)
| r1_tarski(X3,k2_zfmisc_1(X4,X5)) )
| ~ spl28_141
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1093]) ).
fof(f2539,plain,
( spl28_353
| ~ spl28_141
| ~ spl28_173 ),
inference(avatar_split_clause,[],[f1385,f1368,f1092,f2537]) ).
fof(f2537,plain,
( spl28_353
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK11(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_353])]) ).
fof(f1385,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK11(X0),u1_struct_0(X0)) )
| ~ spl28_141
| ~ spl28_173 ),
inference(resolution,[],[f1369,f1093]) ).
fof(f2535,plain,
( spl28_352
| ~ spl28_54
| ~ spl28_218 ),
inference(avatar_split_clause,[],[f1799,f1765,f712,f2532]) ).
fof(f2532,plain,
( spl28_352
<=> l1_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_352])]) ).
fof(f1765,plain,
( spl28_218
<=> l1_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_218])]) ).
fof(f1799,plain,
( l1_struct_0(sK22)
| ~ spl28_54
| ~ spl28_218 ),
inference(resolution,[],[f1767,f713]) ).
fof(f1767,plain,
( l1_lattices(sK22)
| ~ spl28_218 ),
inference(avatar_component_clause,[],[f1765]) ).
fof(f2530,plain,
( spl28_351
| ~ spl28_126
| ~ spl28_165 ),
inference(avatar_split_clause,[],[f1336,f1261,f1031,f2528]) ).
fof(f2528,plain,
( spl28_351
<=> ! [X6,X5] :
( v1_relat_1(sK10(k2_zfmisc_1(X5,X6)))
| v1_xboole_0(k2_zfmisc_1(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_351])]) ).
fof(f1336,plain,
( ! [X6,X5] :
( v1_relat_1(sK10(k2_zfmisc_1(X5,X6)))
| v1_xboole_0(k2_zfmisc_1(X5,X6)) )
| ~ spl28_126
| ~ spl28_165 ),
inference(resolution,[],[f1262,f1032]) ).
fof(f2526,plain,
( spl28_350
| ~ spl28_125
| ~ spl28_165 ),
inference(avatar_split_clause,[],[f1335,f1261,f1027,f2524]) ).
fof(f2524,plain,
( spl28_350
<=> ! [X4,X3] :
( v1_relat_1(sK9(k2_zfmisc_1(X3,X4)))
| v1_xboole_0(k2_zfmisc_1(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_350])]) ).
fof(f1335,plain,
( ! [X3,X4] :
( v1_relat_1(sK9(k2_zfmisc_1(X3,X4)))
| v1_xboole_0(k2_zfmisc_1(X3,X4)) )
| ~ spl28_125
| ~ spl28_165 ),
inference(resolution,[],[f1262,f1028]) ).
fof(f2471,plain,
( ~ spl28_349
| ~ spl28_117
| ~ spl28_214 ),
inference(avatar_split_clause,[],[f1752,f1743,f991,f2468]) ).
fof(f2468,plain,
( spl28_349
<=> r2_hidden(u1_struct_0(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_349])]) ).
fof(f1752,plain,
( ~ r2_hidden(u1_struct_0(sK6),sK7)
| ~ spl28_117
| ~ spl28_214 ),
inference(resolution,[],[f1745,f992]) ).
fof(f2465,plain,
( spl28_348
| ~ spl28_102
| ~ spl28_176 ),
inference(avatar_split_clause,[],[f1443,f1380,f904,f2463]) ).
fof(f904,plain,
( spl28_102
<=> ! [X0] : m1_subset_1(sK13(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_102])]) ).
fof(f1443,plain,
( ! [X14,X13] :
( m1_subset_1(X13,X14)
| ~ r2_hidden(X13,sK13(k1_zfmisc_1(X14))) )
| ~ spl28_102
| ~ spl28_176 ),
inference(resolution,[],[f1381,f905]) ).
fof(f905,plain,
( ! [X0] : m1_subset_1(sK13(X0),X0)
| ~ spl28_102 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f2452,plain,
( ~ spl28_28
| spl28_29
| ~ spl28_36
| spl28_347
| ~ spl28_37
| ~ spl28_172 ),
inference(avatar_split_clause,[],[f1384,f1364,f633,f2449,f628,f593,f588]) ).
fof(f2449,plain,
( spl28_347
<=> sP1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_347])]) ).
fof(f633,plain,
( spl28_37
<=> v11_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_37])]) ).
fof(f1384,plain,
( sP1(sK26)
| ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| ~ l3_lattices(sK26)
| ~ spl28_37
| ~ spl28_172 ),
inference(resolution,[],[f1365,f635]) ).
fof(f635,plain,
( v11_lattices(sK26)
| ~ spl28_37 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f2447,plain,
( spl28_346
| ~ spl28_143
| ~ spl28_170 ),
inference(avatar_split_clause,[],[f1355,f1352,f1101,f2445]) ).
fof(f2445,plain,
( spl28_346
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_346])]) ).
fof(f1355,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl28_143
| ~ spl28_170 ),
inference(resolution,[],[f1353,f1102]) ).
fof(f2443,plain,
( spl28_345
| ~ spl28_138
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1166,f1101,f1080,f2441]) ).
fof(f1166,plain,
( ! [X22,X23] :
( ~ r1_tarski(X22,X23)
| v1_xcmplx_0(X22)
| ~ v1_membered(k1_zfmisc_1(X23)) )
| ~ spl28_138
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1081]) ).
fof(f2439,plain,
( spl28_344
| ~ spl28_137
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1165,f1101,f1076,f2437]) ).
fof(f1165,plain,
( ! [X21,X20] :
( ~ r1_tarski(X20,X21)
| v1_xreal_0(X20)
| ~ v2_membered(k1_zfmisc_1(X21)) )
| ~ spl28_137
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1077]) ).
fof(f2435,plain,
( spl28_343
| ~ spl28_136
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1164,f1101,f1072,f2433]) ).
fof(f1164,plain,
( ! [X18,X19] :
( ~ r1_tarski(X18,X19)
| v1_xcmplx_0(X18)
| ~ v2_membered(k1_zfmisc_1(X19)) )
| ~ spl28_136
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1073]) ).
fof(f2431,plain,
( spl28_342
| ~ spl28_135
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1163,f1101,f1068,f2429]) ).
fof(f1163,plain,
( ! [X16,X17] :
( ~ r1_tarski(X16,X17)
| v1_rat_1(X16)
| ~ v3_membered(k1_zfmisc_1(X17)) )
| ~ spl28_135
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1069]) ).
fof(f2427,plain,
( spl28_341
| ~ spl28_134
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1162,f1101,f1064,f2425]) ).
fof(f1162,plain,
( ! [X14,X15] :
( ~ r1_tarski(X14,X15)
| v1_xreal_0(X14)
| ~ v3_membered(k1_zfmisc_1(X15)) )
| ~ spl28_134
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1065]) ).
fof(f2423,plain,
( spl28_340
| ~ spl28_133
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1161,f1101,f1060,f2421]) ).
fof(f1161,plain,
( ! [X12,X13] :
( ~ r1_tarski(X12,X13)
| v1_xcmplx_0(X12)
| ~ v3_membered(k1_zfmisc_1(X13)) )
| ~ spl28_133
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1061]) ).
fof(f2419,plain,
( spl28_339
| ~ spl28_132
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1160,f1101,f1056,f2417]) ).
fof(f1160,plain,
( ! [X10,X11] :
( ~ r1_tarski(X10,X11)
| v1_rat_1(X10)
| ~ v4_membered(k1_zfmisc_1(X11)) )
| ~ spl28_132
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1057]) ).
fof(f2415,plain,
( spl28_338
| ~ spl28_130
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1159,f1101,f1047,f2413]) ).
fof(f1159,plain,
( ! [X8,X9] :
( ~ r1_tarski(X8,X9)
| v1_int_1(X8)
| ~ v4_membered(k1_zfmisc_1(X9)) )
| ~ spl28_130
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1048]) ).
fof(f2411,plain,
( spl28_337
| ~ spl28_129
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1158,f1101,f1043,f2409]) ).
fof(f1158,plain,
( ! [X6,X7] :
( ~ r1_tarski(X6,X7)
| v1_xreal_0(X6)
| ~ v4_membered(k1_zfmisc_1(X7)) )
| ~ spl28_129
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1044]) ).
fof(f2407,plain,
( spl28_336
| ~ spl28_128
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1157,f1101,f1039,f2405]) ).
fof(f1157,plain,
( ! [X4,X5] :
( ~ r1_tarski(X4,X5)
| v1_xcmplx_0(X4)
| ~ v4_membered(k1_zfmisc_1(X5)) )
| ~ spl28_128
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1040]) ).
fof(f2403,plain,
( spl28_335
| ~ spl28_127
| ~ spl28_143 ),
inference(avatar_split_clause,[],[f1156,f1101,f1035,f2401]) ).
fof(f1156,plain,
( ! [X2,X3] :
( ~ r1_tarski(X2,X3)
| sP3(X2)
| ~ v5_membered(k1_zfmisc_1(X3)) )
| ~ spl28_127
| ~ spl28_143 ),
inference(resolution,[],[f1102,f1036]) ).
fof(f2399,plain,
( spl28_334
| ~ spl28_126
| ~ spl28_138 ),
inference(avatar_split_clause,[],[f1150,f1080,f1031,f2397]) ).
fof(f2397,plain,
( spl28_334
<=> ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v1_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_334])]) ).
fof(f1150,plain,
( ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v1_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_138 ),
inference(resolution,[],[f1081,f1032]) ).
fof(f2395,plain,
( spl28_333
| ~ spl28_125
| ~ spl28_138 ),
inference(avatar_split_clause,[],[f1149,f1080,f1027,f2393]) ).
fof(f2393,plain,
( spl28_333
<=> ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v1_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_333])]) ).
fof(f1149,plain,
( ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v1_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_138 ),
inference(resolution,[],[f1081,f1028]) ).
fof(f2391,plain,
( spl28_332
| ~ spl28_126
| ~ spl28_137 ),
inference(avatar_split_clause,[],[f1146,f1076,f1031,f2389]) ).
fof(f2389,plain,
( spl28_332
<=> ! [X1] :
( v1_xreal_0(sK10(X1))
| ~ v2_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_332])]) ).
fof(f1146,plain,
( ! [X1] :
( v1_xreal_0(sK10(X1))
| ~ v2_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_137 ),
inference(resolution,[],[f1077,f1032]) ).
fof(f2387,plain,
( spl28_331
| ~ spl28_125
| ~ spl28_137 ),
inference(avatar_split_clause,[],[f1145,f1076,f1027,f2385]) ).
fof(f2385,plain,
( spl28_331
<=> ! [X0] :
( v1_xreal_0(sK9(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_331])]) ).
fof(f1145,plain,
( ! [X0] :
( v1_xreal_0(sK9(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_137 ),
inference(resolution,[],[f1077,f1028]) ).
fof(f2383,plain,
( spl28_330
| ~ spl28_126
| ~ spl28_136 ),
inference(avatar_split_clause,[],[f1142,f1072,f1031,f2381]) ).
fof(f2381,plain,
( spl28_330
<=> ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v2_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_330])]) ).
fof(f1142,plain,
( ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v2_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_136 ),
inference(resolution,[],[f1073,f1032]) ).
fof(f2379,plain,
( spl28_329
| ~ spl28_125
| ~ spl28_136 ),
inference(avatar_split_clause,[],[f1141,f1072,f1027,f2377]) ).
fof(f2377,plain,
( spl28_329
<=> ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_329])]) ).
fof(f1141,plain,
( ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v2_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_136 ),
inference(resolution,[],[f1073,f1028]) ).
fof(f2375,plain,
( spl28_328
| ~ spl28_126
| ~ spl28_135 ),
inference(avatar_split_clause,[],[f1138,f1068,f1031,f2373]) ).
fof(f2373,plain,
( spl28_328
<=> ! [X1] :
( v1_rat_1(sK10(X1))
| ~ v3_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_328])]) ).
fof(f1138,plain,
( ! [X1] :
( v1_rat_1(sK10(X1))
| ~ v3_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_135 ),
inference(resolution,[],[f1069,f1032]) ).
fof(f2371,plain,
( spl28_327
| ~ spl28_125
| ~ spl28_135 ),
inference(avatar_split_clause,[],[f1137,f1068,f1027,f2369]) ).
fof(f2369,plain,
( spl28_327
<=> ! [X0] :
( v1_rat_1(sK9(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_327])]) ).
fof(f1137,plain,
( ! [X0] :
( v1_rat_1(sK9(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_135 ),
inference(resolution,[],[f1069,f1028]) ).
fof(f2367,plain,
( spl28_326
| ~ spl28_126
| ~ spl28_134 ),
inference(avatar_split_clause,[],[f1134,f1064,f1031,f2365]) ).
fof(f2365,plain,
( spl28_326
<=> ! [X1] :
( v1_xreal_0(sK10(X1))
| ~ v3_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_326])]) ).
fof(f1134,plain,
( ! [X1] :
( v1_xreal_0(sK10(X1))
| ~ v3_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_134 ),
inference(resolution,[],[f1065,f1032]) ).
fof(f2363,plain,
( spl28_325
| ~ spl28_125
| ~ spl28_134 ),
inference(avatar_split_clause,[],[f1133,f1064,f1027,f2361]) ).
fof(f2361,plain,
( spl28_325
<=> ! [X0] :
( v1_xreal_0(sK9(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_325])]) ).
fof(f1133,plain,
( ! [X0] :
( v1_xreal_0(sK9(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_134 ),
inference(resolution,[],[f1065,f1028]) ).
fof(f2359,plain,
( spl28_324
| ~ spl28_126
| ~ spl28_133 ),
inference(avatar_split_clause,[],[f1130,f1060,f1031,f2357]) ).
fof(f2357,plain,
( spl28_324
<=> ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v3_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_324])]) ).
fof(f1130,plain,
( ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v3_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_133 ),
inference(resolution,[],[f1061,f1032]) ).
fof(f2355,plain,
( spl28_323
| ~ spl28_125
| ~ spl28_133 ),
inference(avatar_split_clause,[],[f1129,f1060,f1027,f2353]) ).
fof(f2353,plain,
( spl28_323
<=> ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_323])]) ).
fof(f1129,plain,
( ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v3_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_133 ),
inference(resolution,[],[f1061,f1028]) ).
fof(f2351,plain,
( spl28_322
| ~ spl28_126
| ~ spl28_132 ),
inference(avatar_split_clause,[],[f1126,f1056,f1031,f2349]) ).
fof(f2349,plain,
( spl28_322
<=> ! [X1] :
( v1_rat_1(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_322])]) ).
fof(f1126,plain,
( ! [X1] :
( v1_rat_1(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_132 ),
inference(resolution,[],[f1057,f1032]) ).
fof(f2347,plain,
( spl28_321
| ~ spl28_125
| ~ spl28_132 ),
inference(avatar_split_clause,[],[f1125,f1056,f1027,f2345]) ).
fof(f2345,plain,
( spl28_321
<=> ! [X0] :
( v1_rat_1(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_321])]) ).
fof(f1125,plain,
( ! [X0] :
( v1_rat_1(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_132 ),
inference(resolution,[],[f1057,f1028]) ).
fof(f2343,plain,
( spl28_320
| ~ spl28_126
| ~ spl28_130 ),
inference(avatar_split_clause,[],[f1122,f1047,f1031,f2341]) ).
fof(f2341,plain,
( spl28_320
<=> ! [X1] :
( v1_int_1(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_320])]) ).
fof(f1122,plain,
( ! [X1] :
( v1_int_1(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_130 ),
inference(resolution,[],[f1048,f1032]) ).
fof(f2339,plain,
( spl28_319
| ~ spl28_125
| ~ spl28_130 ),
inference(avatar_split_clause,[],[f1121,f1047,f1027,f2337]) ).
fof(f2337,plain,
( spl28_319
<=> ! [X0] :
( v1_int_1(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_319])]) ).
fof(f1121,plain,
( ! [X0] :
( v1_int_1(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_130 ),
inference(resolution,[],[f1048,f1028]) ).
fof(f2335,plain,
( spl28_318
| ~ spl28_126
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f1118,f1043,f1031,f2333]) ).
fof(f2333,plain,
( spl28_318
<=> ! [X1] :
( v1_xreal_0(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_318])]) ).
fof(f1118,plain,
( ! [X1] :
( v1_xreal_0(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_129 ),
inference(resolution,[],[f1044,f1032]) ).
fof(f2331,plain,
( spl28_317
| ~ spl28_125
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f1117,f1043,f1027,f2329]) ).
fof(f2329,plain,
( spl28_317
<=> ! [X0] :
( v1_xreal_0(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_317])]) ).
fof(f1117,plain,
( ! [X0] :
( v1_xreal_0(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_129 ),
inference(resolution,[],[f1044,f1028]) ).
fof(f2327,plain,
( spl28_316
| ~ spl28_126
| ~ spl28_128 ),
inference(avatar_split_clause,[],[f1114,f1039,f1031,f2325]) ).
fof(f2325,plain,
( spl28_316
<=> ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_316])]) ).
fof(f1114,plain,
( ! [X1] :
( v1_xcmplx_0(sK10(X1))
| ~ v4_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_128 ),
inference(resolution,[],[f1040,f1032]) ).
fof(f2323,plain,
( spl28_315
| ~ spl28_125
| ~ spl28_128 ),
inference(avatar_split_clause,[],[f1113,f1039,f1027,f2321]) ).
fof(f2321,plain,
( spl28_315
<=> ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_315])]) ).
fof(f1113,plain,
( ! [X0] :
( v1_xcmplx_0(sK9(X0))
| ~ v4_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_128 ),
inference(resolution,[],[f1040,f1028]) ).
fof(f2319,plain,
( spl28_314
| ~ spl28_126
| ~ spl28_127 ),
inference(avatar_split_clause,[],[f1110,f1035,f1031,f2317]) ).
fof(f2317,plain,
( spl28_314
<=> ! [X1] :
( sP3(sK10(X1))
| ~ v5_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_314])]) ).
fof(f1110,plain,
( ! [X1] :
( sP3(sK10(X1))
| ~ v5_membered(k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_127 ),
inference(resolution,[],[f1036,f1032]) ).
fof(f2315,plain,
( spl28_313
| ~ spl28_125
| ~ spl28_127 ),
inference(avatar_split_clause,[],[f1109,f1035,f1027,f2313]) ).
fof(f2313,plain,
( spl28_313
<=> ! [X0] :
( sP3(sK9(X0))
| ~ v5_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_313])]) ).
fof(f1109,plain,
( ! [X0] :
( sP3(sK9(X0))
| ~ v5_membered(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_127 ),
inference(resolution,[],[f1036,f1028]) ).
fof(f2232,plain,
( spl28_312
| ~ spl28_102
| ~ spl28_170 ),
inference(avatar_split_clause,[],[f1358,f1352,f904,f2230]) ).
fof(f1358,plain,
( ! [X8,X7] :
( ~ v1_xboole_0(X7)
| ~ r2_hidden(X8,sK13(k1_zfmisc_1(X7))) )
| ~ spl28_102
| ~ spl28_170 ),
inference(resolution,[],[f1353,f905]) ).
fof(f2228,plain,
( spl28_311
| ~ spl28_143
| ~ spl28_165 ),
inference(avatar_split_clause,[],[f1334,f1261,f1101,f2226]) ).
fof(f1334,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl28_143
| ~ spl28_165 ),
inference(resolution,[],[f1262,f1102]) ).
fof(f2224,plain,
( spl28_310
| ~ spl28_126
| ~ spl28_162 ),
inference(avatar_split_clause,[],[f1326,f1249,f1031,f2222]) ).
fof(f2222,plain,
( spl28_310
<=> ! [X3] :
( v1_membered(sK10(X3))
| ~ v1_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_310])]) ).
fof(f1326,plain,
( ! [X3] :
( v1_membered(sK10(X3))
| ~ v1_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_162 ),
inference(resolution,[],[f1250,f1032]) ).
fof(f2220,plain,
( spl28_309
| ~ spl28_125
| ~ spl28_162 ),
inference(avatar_split_clause,[],[f1325,f1249,f1027,f2218]) ).
fof(f2218,plain,
( spl28_309
<=> ! [X2] :
( v1_membered(sK9(X2))
| ~ v1_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_309])]) ).
fof(f1325,plain,
( ! [X2] :
( v1_membered(sK9(X2))
| ~ v1_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_162 ),
inference(resolution,[],[f1250,f1028]) ).
fof(f2216,plain,
( spl28_308
| ~ spl28_143
| ~ spl28_162 ),
inference(avatar_split_clause,[],[f1324,f1249,f1101,f2214]) ).
fof(f1324,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_162 ),
inference(resolution,[],[f1250,f1102]) ).
fof(f2212,plain,
( spl28_307
| ~ spl28_126
| ~ spl28_161 ),
inference(avatar_split_clause,[],[f1322,f1245,f1031,f2210]) ).
fof(f2210,plain,
( spl28_307
<=> ! [X3] :
( v2_membered(sK10(X3))
| ~ v2_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_307])]) ).
fof(f1322,plain,
( ! [X3] :
( v2_membered(sK10(X3))
| ~ v2_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_161 ),
inference(resolution,[],[f1246,f1032]) ).
fof(f2208,plain,
( spl28_306
| ~ spl28_125
| ~ spl28_161 ),
inference(avatar_split_clause,[],[f1321,f1245,f1027,f2206]) ).
fof(f2206,plain,
( spl28_306
<=> ! [X2] :
( v2_membered(sK9(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_306])]) ).
fof(f1321,plain,
( ! [X2] :
( v2_membered(sK9(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_161 ),
inference(resolution,[],[f1246,f1028]) ).
fof(f2204,plain,
( spl28_305
| ~ spl28_143
| ~ spl28_161 ),
inference(avatar_split_clause,[],[f1320,f1245,f1101,f2202]) ).
fof(f2202,plain,
( spl28_305
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_305])]) ).
fof(f1320,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_161 ),
inference(resolution,[],[f1246,f1102]) ).
fof(f2200,plain,
( spl28_304
| ~ spl28_126
| ~ spl28_160 ),
inference(avatar_split_clause,[],[f1318,f1241,f1031,f2198]) ).
fof(f2198,plain,
( spl28_304
<=> ! [X3] :
( v1_membered(sK10(X3))
| ~ v2_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_304])]) ).
fof(f1318,plain,
( ! [X3] :
( v1_membered(sK10(X3))
| ~ v2_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_160 ),
inference(resolution,[],[f1242,f1032]) ).
fof(f2196,plain,
( spl28_303
| ~ spl28_125
| ~ spl28_160 ),
inference(avatar_split_clause,[],[f1317,f1241,f1027,f2194]) ).
fof(f2194,plain,
( spl28_303
<=> ! [X2] :
( v1_membered(sK9(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_303])]) ).
fof(f1317,plain,
( ! [X2] :
( v1_membered(sK9(X2))
| ~ v2_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_160 ),
inference(resolution,[],[f1242,f1028]) ).
fof(f2190,plain,
( spl28_302
| ~ spl28_143
| ~ spl28_160 ),
inference(avatar_split_clause,[],[f1316,f1241,f1101,f2188]) ).
fof(f1316,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_160 ),
inference(resolution,[],[f1242,f1102]) ).
fof(f2186,plain,
( spl28_301
| ~ spl28_126
| ~ spl28_159 ),
inference(avatar_split_clause,[],[f1314,f1237,f1031,f2184]) ).
fof(f2184,plain,
( spl28_301
<=> ! [X3] :
( v3_membered(sK10(X3))
| ~ v3_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_301])]) ).
fof(f1314,plain,
( ! [X3] :
( v3_membered(sK10(X3))
| ~ v3_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_159 ),
inference(resolution,[],[f1238,f1032]) ).
fof(f2182,plain,
( spl28_300
| ~ spl28_125
| ~ spl28_159 ),
inference(avatar_split_clause,[],[f1313,f1237,f1027,f2180]) ).
fof(f2180,plain,
( spl28_300
<=> ! [X2] :
( v3_membered(sK9(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_300])]) ).
fof(f1313,plain,
( ! [X2] :
( v3_membered(sK9(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_159 ),
inference(resolution,[],[f1238,f1028]) ).
fof(f2178,plain,
( spl28_299
| ~ spl28_143
| ~ spl28_159 ),
inference(avatar_split_clause,[],[f1312,f1237,f1101,f2176]) ).
fof(f2176,plain,
( spl28_299
<=> ! [X0,X1] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_299])]) ).
fof(f1312,plain,
( ! [X0,X1] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_159 ),
inference(resolution,[],[f1238,f1102]) ).
fof(f2174,plain,
( spl28_298
| ~ spl28_126
| ~ spl28_158 ),
inference(avatar_split_clause,[],[f1310,f1233,f1031,f2172]) ).
fof(f2172,plain,
( spl28_298
<=> ! [X3] :
( v2_membered(sK10(X3))
| ~ v3_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_298])]) ).
fof(f1310,plain,
( ! [X3] :
( v2_membered(sK10(X3))
| ~ v3_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_158 ),
inference(resolution,[],[f1234,f1032]) ).
fof(f2170,plain,
( spl28_297
| ~ spl28_125
| ~ spl28_158 ),
inference(avatar_split_clause,[],[f1309,f1233,f1027,f2168]) ).
fof(f2168,plain,
( spl28_297
<=> ! [X2] :
( v2_membered(sK9(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_297])]) ).
fof(f1309,plain,
( ! [X2] :
( v2_membered(sK9(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_158 ),
inference(resolution,[],[f1234,f1028]) ).
fof(f2166,plain,
( spl28_296
| ~ spl28_143
| ~ spl28_158 ),
inference(avatar_split_clause,[],[f1308,f1233,f1101,f2164]) ).
fof(f2164,plain,
( spl28_296
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_296])]) ).
fof(f1308,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_158 ),
inference(resolution,[],[f1234,f1102]) ).
fof(f2162,plain,
( spl28_295
| ~ spl28_126
| ~ spl28_157 ),
inference(avatar_split_clause,[],[f1306,f1229,f1031,f2160]) ).
fof(f2160,plain,
( spl28_295
<=> ! [X3] :
( v1_membered(sK10(X3))
| ~ v3_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_295])]) ).
fof(f1306,plain,
( ! [X3] :
( v1_membered(sK10(X3))
| ~ v3_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_157 ),
inference(resolution,[],[f1230,f1032]) ).
fof(f2158,plain,
( spl28_294
| ~ spl28_125
| ~ spl28_157 ),
inference(avatar_split_clause,[],[f1305,f1229,f1027,f2156]) ).
fof(f2156,plain,
( spl28_294
<=> ! [X2] :
( v1_membered(sK9(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_294])]) ).
fof(f1305,plain,
( ! [X2] :
( v1_membered(sK9(X2))
| ~ v3_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_157 ),
inference(resolution,[],[f1230,f1028]) ).
fof(f2154,plain,
( spl28_293
| ~ spl28_143
| ~ spl28_157 ),
inference(avatar_split_clause,[],[f1304,f1229,f1101,f2152]) ).
fof(f1304,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_157 ),
inference(resolution,[],[f1230,f1102]) ).
fof(f2149,plain,
( spl28_292
| ~ spl28_126
| ~ spl28_154 ),
inference(avatar_split_clause,[],[f1302,f1216,f1031,f2147]) ).
fof(f2147,plain,
( spl28_292
<=> ! [X3] :
( v4_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_292])]) ).
fof(f1302,plain,
( ! [X3] :
( v4_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_154 ),
inference(resolution,[],[f1217,f1032]) ).
fof(f2145,plain,
( spl28_291
| ~ spl28_125
| ~ spl28_154 ),
inference(avatar_split_clause,[],[f1301,f1216,f1027,f2143]) ).
fof(f2143,plain,
( spl28_291
<=> ! [X2] :
( v4_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_291])]) ).
fof(f1301,plain,
( ! [X2] :
( v4_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_154 ),
inference(resolution,[],[f1217,f1028]) ).
fof(f2141,plain,
( spl28_290
| ~ spl28_143
| ~ spl28_154 ),
inference(avatar_split_clause,[],[f1300,f1216,f1101,f2139]) ).
fof(f2139,plain,
( spl28_290
<=> ! [X0,X1] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_290])]) ).
fof(f1300,plain,
( ! [X0,X1] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_154 ),
inference(resolution,[],[f1217,f1102]) ).
fof(f2137,plain,
( spl28_289
| ~ spl28_126
| ~ spl28_153 ),
inference(avatar_split_clause,[],[f1298,f1212,f1031,f2135]) ).
fof(f2135,plain,
( spl28_289
<=> ! [X3] :
( v3_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_289])]) ).
fof(f1298,plain,
( ! [X3] :
( v3_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_153 ),
inference(resolution,[],[f1213,f1032]) ).
fof(f2133,plain,
( spl28_288
| ~ spl28_125
| ~ spl28_153 ),
inference(avatar_split_clause,[],[f1297,f1212,f1027,f2131]) ).
fof(f2131,plain,
( spl28_288
<=> ! [X2] :
( v3_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_288])]) ).
fof(f1297,plain,
( ! [X2] :
( v3_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_153 ),
inference(resolution,[],[f1213,f1028]) ).
fof(f2129,plain,
( spl28_287
| ~ spl28_143
| ~ spl28_153 ),
inference(avatar_split_clause,[],[f1296,f1212,f1101,f2127]) ).
fof(f2127,plain,
( spl28_287
<=> ! [X0,X1] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_287])]) ).
fof(f1296,plain,
( ! [X0,X1] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_153 ),
inference(resolution,[],[f1213,f1102]) ).
fof(f2125,plain,
( spl28_286
| ~ spl28_126
| ~ spl28_152 ),
inference(avatar_split_clause,[],[f1294,f1208,f1031,f2123]) ).
fof(f2123,plain,
( spl28_286
<=> ! [X3] :
( v2_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_286])]) ).
fof(f1294,plain,
( ! [X3] :
( v2_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_152 ),
inference(resolution,[],[f1209,f1032]) ).
fof(f2121,plain,
( spl28_285
| ~ spl28_125
| ~ spl28_152 ),
inference(avatar_split_clause,[],[f1293,f1208,f1027,f2119]) ).
fof(f2119,plain,
( spl28_285
<=> ! [X2] :
( v2_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_285])]) ).
fof(f1293,plain,
( ! [X2] :
( v2_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_152 ),
inference(resolution,[],[f1209,f1028]) ).
fof(f2117,plain,
( spl28_284
| ~ spl28_143
| ~ spl28_152 ),
inference(avatar_split_clause,[],[f1292,f1208,f1101,f2115]) ).
fof(f1292,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_152 ),
inference(resolution,[],[f1209,f1102]) ).
fof(f2113,plain,
( spl28_283
| ~ spl28_126
| ~ spl28_151 ),
inference(avatar_split_clause,[],[f1290,f1204,f1031,f2111]) ).
fof(f2111,plain,
( spl28_283
<=> ! [X3] :
( v1_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_283])]) ).
fof(f1290,plain,
( ! [X3] :
( v1_membered(sK10(X3))
| ~ v4_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_151 ),
inference(resolution,[],[f1205,f1032]) ).
fof(f2109,plain,
( spl28_282
| ~ spl28_80
| ~ spl28_213 ),
inference(avatar_split_clause,[],[f1741,f1731,f816,f2106]) ).
fof(f2106,plain,
( spl28_282
<=> v9_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_282])]) ).
fof(f816,plain,
( spl28_80
<=> ! [X0] :
( v9_lattices(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_80])]) ).
fof(f1731,plain,
( spl28_213
<=> sP2(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_213])]) ).
fof(f1741,plain,
( v9_lattices(sK6)
| ~ spl28_80
| ~ spl28_213 ),
inference(resolution,[],[f1733,f817]) ).
fof(f817,plain,
( ! [X0] :
( ~ sP2(X0)
| v9_lattices(X0) )
| ~ spl28_80 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f1733,plain,
( sP2(sK6)
| ~ spl28_213 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f2104,plain,
( spl28_281
| ~ spl28_125
| ~ spl28_151 ),
inference(avatar_split_clause,[],[f1289,f1204,f1027,f2102]) ).
fof(f2102,plain,
( spl28_281
<=> ! [X2] :
( v1_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_281])]) ).
fof(f1289,plain,
( ! [X2] :
( v1_membered(sK9(X2))
| ~ v4_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_151 ),
inference(resolution,[],[f1205,f1028]) ).
fof(f2100,plain,
( spl28_280
| ~ spl28_143
| ~ spl28_151 ),
inference(avatar_split_clause,[],[f1288,f1204,f1101,f2098]) ).
fof(f1288,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_151 ),
inference(resolution,[],[f1205,f1102]) ).
fof(f2096,plain,
( spl28_279
| ~ spl28_143
| ~ spl28_150 ),
inference(avatar_split_clause,[],[f1284,f1200,f1101,f2094]) ).
fof(f1284,plain,
( ! [X0,X1] :
( v1_finset_1(X0)
| ~ v1_finset_1(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_150 ),
inference(resolution,[],[f1201,f1102]) ).
fof(f2092,plain,
( spl28_278
| ~ spl28_126
| ~ spl28_149 ),
inference(avatar_split_clause,[],[f1282,f1196,f1031,f2090]) ).
fof(f1282,plain,
( ! [X3] :
( sP4(sK10(X3))
| ~ v5_membered(X3)
| v1_xboole_0(X3) )
| ~ spl28_126
| ~ spl28_149 ),
inference(resolution,[],[f1197,f1032]) ).
fof(f2088,plain,
( spl28_277
| ~ spl28_125
| ~ spl28_149 ),
inference(avatar_split_clause,[],[f1281,f1196,f1027,f2086]) ).
fof(f1281,plain,
( ! [X2] :
( sP4(sK9(X2))
| ~ v5_membered(X2)
| v1_xboole_0(X2) )
| ~ spl28_125
| ~ spl28_149 ),
inference(resolution,[],[f1197,f1028]) ).
fof(f2084,plain,
( spl28_276
| ~ spl28_143
| ~ spl28_149 ),
inference(avatar_split_clause,[],[f1280,f1196,f1101,f2082]) ).
fof(f1280,plain,
( ! [X0,X1] :
( sP4(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl28_143
| ~ spl28_149 ),
inference(resolution,[],[f1197,f1102]) ).
fof(f2072,plain,
( spl28_275
| ~ spl28_79
| ~ spl28_213 ),
inference(avatar_split_clause,[],[f1740,f1731,f812,f2069]) ).
fof(f2069,plain,
( spl28_275
<=> v8_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_275])]) ).
fof(f812,plain,
( spl28_79
<=> ! [X0] :
( v8_lattices(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_79])]) ).
fof(f1740,plain,
( v8_lattices(sK6)
| ~ spl28_79
| ~ spl28_213 ),
inference(resolution,[],[f1733,f813]) ).
fof(f813,plain,
( ! [X0] :
( ~ sP2(X0)
| v8_lattices(X0) )
| ~ spl28_79 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f2056,plain,
( spl28_274
| ~ spl28_78
| ~ spl28_213 ),
inference(avatar_split_clause,[],[f1739,f1731,f808,f2053]) ).
fof(f2053,plain,
( spl28_274
<=> v7_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_274])]) ).
fof(f808,plain,
( spl28_78
<=> ! [X0] :
( v7_lattices(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_78])]) ).
fof(f1739,plain,
( v7_lattices(sK6)
| ~ spl28_78
| ~ spl28_213 ),
inference(resolution,[],[f1733,f809]) ).
fof(f809,plain,
( ! [X0] :
( ~ sP2(X0)
| v7_lattices(X0) )
| ~ spl28_78 ),
inference(avatar_component_clause,[],[f808]) ).
fof(f2044,plain,
( spl28_273
| ~ spl28_165
| ~ spl28_175 ),
inference(avatar_split_clause,[],[f1411,f1376,f1261,f2042]) ).
fof(f1411,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl28_165
| ~ spl28_175 ),
inference(resolution,[],[f1377,f1262]) ).
fof(f2040,plain,
( spl28_272
| ~ spl28_123
| ~ spl28_167 ),
inference(avatar_split_clause,[],[f1350,f1269,f1016,f2038]) ).
fof(f1269,plain,
( spl28_167
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_167])]) ).
fof(f1350,plain,
( ! [X4,X5] : m2_relset_1(sK19(X4,X5),X4,X5)
| ~ spl28_123
| ~ spl28_167 ),
inference(resolution,[],[f1270,f1017]) ).
fof(f1270,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl28_167 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f2036,plain,
( spl28_271
| ~ spl28_122
| ~ spl28_167 ),
inference(avatar_split_clause,[],[f1349,f1269,f1012,f2034]) ).
fof(f1012,plain,
( spl28_122
<=> ! [X0,X1] : m1_relset_1(sK18(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_122])]) ).
fof(f1349,plain,
( ! [X2,X3] : m2_relset_1(sK18(X2,X3),X2,X3)
| ~ spl28_122
| ~ spl28_167 ),
inference(resolution,[],[f1270,f1013]) ).
fof(f1013,plain,
( ! [X0,X1] : m1_relset_1(sK18(X0,X1),X0,X1)
| ~ spl28_122 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f2032,plain,
( spl28_270
| ~ spl28_77
| ~ spl28_213 ),
inference(avatar_split_clause,[],[f1738,f1731,f804,f2029]) ).
fof(f2029,plain,
( spl28_270
<=> v6_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_270])]) ).
fof(f804,plain,
( spl28_77
<=> ! [X0] :
( v6_lattices(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_77])]) ).
fof(f1738,plain,
( v6_lattices(sK6)
| ~ spl28_77
| ~ spl28_213 ),
inference(resolution,[],[f1733,f805]) ).
fof(f805,plain,
( ! [X0] :
( ~ sP2(X0)
| v6_lattices(X0) )
| ~ spl28_77 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f2027,plain,
( spl28_269
| ~ spl28_121
| ~ spl28_167 ),
inference(avatar_split_clause,[],[f1348,f1269,f1008,f2025]) ).
fof(f1008,plain,
( spl28_121
<=> ! [X0,X1] : m1_relset_1(sK17(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_121])]) ).
fof(f1348,plain,
( ! [X0,X1] : m2_relset_1(sK17(X0,X1),X0,X1)
| ~ spl28_121
| ~ spl28_167 ),
inference(resolution,[],[f1270,f1009]) ).
fof(f1009,plain,
( ! [X0,X1] : m1_relset_1(sK17(X0,X1),X0,X1)
| ~ spl28_121 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f2023,plain,
( spl28_268
| ~ spl28_120
| ~ spl28_166 ),
inference(avatar_split_clause,[],[f1347,f1265,f1004,f2021]) ).
fof(f2021,plain,
( spl28_268
<=> ! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_268])]) ).
fof(f1347,plain,
( ! [X0,X1] : m1_relset_1(sK16(X0,X1),X0,X1)
| ~ spl28_120
| ~ spl28_166 ),
inference(resolution,[],[f1266,f1005]) ).
fof(f2019,plain,
( spl28_267
| ~ spl28_102
| ~ spl28_165 ),
inference(avatar_split_clause,[],[f1337,f1261,f904,f2017]) ).
fof(f2017,plain,
( spl28_267
<=> ! [X8,X7] : v1_relat_1(sK13(k1_zfmisc_1(k2_zfmisc_1(X7,X8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_267])]) ).
fof(f1337,plain,
( ! [X8,X7] : v1_relat_1(sK13(k1_zfmisc_1(k2_zfmisc_1(X7,X8))))
| ~ spl28_102
| ~ spl28_165 ),
inference(resolution,[],[f1262,f905]) ).
fof(f2015,plain,
( spl28_266
| ~ spl28_102
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f1333,f1253,f904,f2013]) ).
fof(f1333,plain,
( ! [X4] :
( v1_xboole_0(X4)
| r2_hidden(sK13(X4),X4) )
| ~ spl28_102
| ~ spl28_163 ),
inference(resolution,[],[f1254,f905]) ).
fof(f2011,plain,
( spl28_265
| ~ spl28_102
| ~ spl28_162 ),
inference(avatar_split_clause,[],[f1327,f1249,f904,f2009]) ).
fof(f2009,plain,
( spl28_265
<=> ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v1_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_265])]) ).
fof(f1327,plain,
( ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v1_membered(X4) )
| ~ spl28_102
| ~ spl28_162 ),
inference(resolution,[],[f1250,f905]) ).
fof(f2007,plain,
( spl28_264
| ~ spl28_102
| ~ spl28_161 ),
inference(avatar_split_clause,[],[f1323,f1245,f904,f2005]) ).
fof(f2005,plain,
( spl28_264
<=> ! [X4] :
( v2_membered(sK13(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_264])]) ).
fof(f1323,plain,
( ! [X4] :
( v2_membered(sK13(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) )
| ~ spl28_102
| ~ spl28_161 ),
inference(resolution,[],[f1246,f905]) ).
fof(f2003,plain,
( spl28_263
| ~ spl28_102
| ~ spl28_160 ),
inference(avatar_split_clause,[],[f1319,f1241,f904,f2001]) ).
fof(f2001,plain,
( spl28_263
<=> ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_263])]) ).
fof(f1319,plain,
( ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v2_membered(X4) )
| ~ spl28_102
| ~ spl28_160 ),
inference(resolution,[],[f1242,f905]) ).
fof(f1999,plain,
( spl28_262
| ~ spl28_102
| ~ spl28_159 ),
inference(avatar_split_clause,[],[f1315,f1237,f904,f1997]) ).
fof(f1997,plain,
( spl28_262
<=> ! [X4] :
( v3_membered(sK13(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_262])]) ).
fof(f1315,plain,
( ! [X4] :
( v3_membered(sK13(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) )
| ~ spl28_102
| ~ spl28_159 ),
inference(resolution,[],[f1238,f905]) ).
fof(f1995,plain,
( spl28_261
| ~ spl28_102
| ~ spl28_158 ),
inference(avatar_split_clause,[],[f1311,f1233,f904,f1993]) ).
fof(f1993,plain,
( spl28_261
<=> ! [X4] :
( v2_membered(sK13(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_261])]) ).
fof(f1311,plain,
( ! [X4] :
( v2_membered(sK13(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) )
| ~ spl28_102
| ~ spl28_158 ),
inference(resolution,[],[f1234,f905]) ).
fof(f1991,plain,
( spl28_260
| ~ spl28_102
| ~ spl28_157 ),
inference(avatar_split_clause,[],[f1307,f1229,f904,f1989]) ).
fof(f1989,plain,
( spl28_260
<=> ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_260])]) ).
fof(f1307,plain,
( ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v3_membered(X4) )
| ~ spl28_102
| ~ spl28_157 ),
inference(resolution,[],[f1230,f905]) ).
fof(f1987,plain,
( spl28_259
| ~ spl28_76
| ~ spl28_213 ),
inference(avatar_split_clause,[],[f1737,f1731,f800,f1984]) ).
fof(f1984,plain,
( spl28_259
<=> v5_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_259])]) ).
fof(f800,plain,
( spl28_76
<=> ! [X0] :
( v5_lattices(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_76])]) ).
fof(f1737,plain,
( v5_lattices(sK6)
| ~ spl28_76
| ~ spl28_213 ),
inference(resolution,[],[f1733,f801]) ).
fof(f801,plain,
( ! [X0] :
( ~ sP2(X0)
| v5_lattices(X0) )
| ~ spl28_76 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1982,plain,
( spl28_258
| ~ spl28_102
| ~ spl28_154 ),
inference(avatar_split_clause,[],[f1303,f1216,f904,f1980]) ).
fof(f1980,plain,
( spl28_258
<=> ! [X4] :
( v4_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_258])]) ).
fof(f1303,plain,
( ! [X4] :
( v4_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl28_102
| ~ spl28_154 ),
inference(resolution,[],[f1217,f905]) ).
fof(f1978,plain,
( spl28_257
| ~ spl28_102
| ~ spl28_153 ),
inference(avatar_split_clause,[],[f1299,f1212,f904,f1976]) ).
fof(f1976,plain,
( spl28_257
<=> ! [X4] :
( v3_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_257])]) ).
fof(f1299,plain,
( ! [X4] :
( v3_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl28_102
| ~ spl28_153 ),
inference(resolution,[],[f1213,f905]) ).
fof(f1974,plain,
( spl28_256
| ~ spl28_102
| ~ spl28_152 ),
inference(avatar_split_clause,[],[f1295,f1208,f904,f1972]) ).
fof(f1972,plain,
( spl28_256
<=> ! [X4] :
( v2_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_256])]) ).
fof(f1295,plain,
( ! [X4] :
( v2_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl28_102
| ~ spl28_152 ),
inference(resolution,[],[f1209,f905]) ).
fof(f1970,plain,
( spl28_255
| ~ spl28_102
| ~ spl28_151 ),
inference(avatar_split_clause,[],[f1291,f1204,f904,f1968]) ).
fof(f1968,plain,
( spl28_255
<=> ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_255])]) ).
fof(f1291,plain,
( ! [X4] :
( v1_membered(sK13(k1_zfmisc_1(X4)))
| ~ v4_membered(X4) )
| ~ spl28_102
| ~ spl28_151 ),
inference(resolution,[],[f1205,f905]) ).
fof(f1966,plain,
( spl28_254
| ~ spl28_102
| ~ spl28_150 ),
inference(avatar_split_clause,[],[f1287,f1200,f904,f1964]) ).
fof(f1964,plain,
( spl28_254
<=> ! [X4] :
( v1_finset_1(sK13(k1_zfmisc_1(X4)))
| ~ v1_finset_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_254])]) ).
fof(f1287,plain,
( ! [X4] :
( v1_finset_1(sK13(k1_zfmisc_1(X4)))
| ~ v1_finset_1(X4) )
| ~ spl28_102
| ~ spl28_150 ),
inference(resolution,[],[f1201,f905]) ).
fof(f1962,plain,
( spl28_253
| ~ spl28_102
| ~ spl28_149 ),
inference(avatar_split_clause,[],[f1283,f1196,f904,f1960]) ).
fof(f1283,plain,
( ! [X4] :
( sP4(sK13(k1_zfmisc_1(X4)))
| ~ v5_membered(X4) )
| ~ spl28_102
| ~ spl28_149 ),
inference(resolution,[],[f1197,f905]) ).
fof(f1951,plain,
( spl28_252
| spl28_29
| ~ spl28_36
| ~ spl28_28
| ~ spl28_148 ),
inference(avatar_split_clause,[],[f1279,f1192,f588,f628,f593,f1948]) ).
fof(f1948,plain,
( spl28_252
<=> sP2(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_252])]) ).
fof(f1192,plain,
( spl28_148
<=> ! [X0] :
( sP2(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_148])]) ).
fof(f1279,plain,
( ~ v10_lattices(sK26)
| v3_struct_0(sK26)
| sP2(sK26)
| ~ spl28_28
| ~ spl28_148 ),
inference(resolution,[],[f1193,f590]) ).
fof(f1193,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP2(X0) )
| ~ spl28_148 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1946,plain,
( spl28_251
| ~ spl28_75
| ~ spl28_213 ),
inference(avatar_split_clause,[],[f1736,f1731,f796,f1943]) ).
fof(f1943,plain,
( spl28_251
<=> v4_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_251])]) ).
fof(f796,plain,
( spl28_75
<=> ! [X0] :
( v4_lattices(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_75])]) ).
fof(f1736,plain,
( v4_lattices(sK6)
| ~ spl28_75
| ~ spl28_213 ),
inference(resolution,[],[f1733,f797]) ).
fof(f797,plain,
( ! [X0] :
( ~ sP2(X0)
| v4_lattices(X0) )
| ~ spl28_75 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f1941,plain,
( spl28_249
| spl28_246
| ~ spl28_250
| ~ spl28_18
| ~ spl28_148 ),
inference(avatar_split_clause,[],[f1278,f1192,f538,f1938,f1914,f1934]) ).
fof(f1934,plain,
( spl28_249
<=> sP2(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_249])]) ).
fof(f1914,plain,
( spl28_246
<=> v3_struct_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_246])]) ).
fof(f1938,plain,
( spl28_250
<=> v10_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_250])]) ).
fof(f538,plain,
( spl28_18
<=> l3_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_18])]) ).
fof(f1278,plain,
( ~ v10_lattices(sK22)
| v3_struct_0(sK22)
| sP2(sK22)
| ~ spl28_18
| ~ spl28_148 ),
inference(resolution,[],[f1193,f540]) ).
fof(f540,plain,
( l3_lattices(sK22)
| ~ spl28_18 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f1926,plain,
( spl28_248
| spl28_29
| ~ spl28_43
| ~ spl28_28
| ~ spl28_147 ),
inference(avatar_split_clause,[],[f1276,f1188,f588,f663,f593,f1923]) ).
fof(f1923,plain,
( spl28_248
<=> sP0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_248])]) ).
fof(f1188,plain,
( spl28_147
<=> ! [X0] :
( sP0(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_147])]) ).
fof(f1276,plain,
( ~ v17_lattices(sK26)
| v3_struct_0(sK26)
| sP0(sK26)
| ~ spl28_28
| ~ spl28_147 ),
inference(resolution,[],[f1189,f590]) ).
fof(f1189,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) )
| ~ spl28_147 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1921,plain,
( spl28_245
| spl28_246
| ~ spl28_247
| ~ spl28_18
| ~ spl28_147 ),
inference(avatar_split_clause,[],[f1275,f1188,f538,f1918,f1914,f1910]) ).
fof(f1910,plain,
( spl28_245
<=> sP0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_245])]) ).
fof(f1918,plain,
( spl28_247
<=> v17_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_247])]) ).
fof(f1275,plain,
( ~ v17_lattices(sK22)
| v3_struct_0(sK22)
| sP0(sK22)
| ~ spl28_18
| ~ spl28_147 ),
inference(resolution,[],[f1189,f540]) ).
fof(f1908,plain,
( spl28_244
| ~ spl28_126
| ~ spl28_141 ),
inference(avatar_split_clause,[],[f1153,f1092,f1031,f1906]) ).
fof(f1906,plain,
( spl28_244
<=> ! [X1] :
( r1_tarski(sK10(X1),X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_244])]) ).
fof(f1153,plain,
( ! [X1] :
( r1_tarski(sK10(X1),X1)
| v1_xboole_0(X1) )
| ~ spl28_126
| ~ spl28_141 ),
inference(resolution,[],[f1093,f1032]) ).
fof(f1904,plain,
( spl28_243
| ~ spl28_125
| ~ spl28_141 ),
inference(avatar_split_clause,[],[f1152,f1092,f1027,f1902]) ).
fof(f1902,plain,
( spl28_243
<=> ! [X0] :
( r1_tarski(sK9(X0),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_243])]) ).
fof(f1152,plain,
( ! [X0] :
( r1_tarski(sK9(X0),X0)
| v1_xboole_0(X0) )
| ~ spl28_125
| ~ spl28_141 ),
inference(resolution,[],[f1093,f1028]) ).
fof(f1900,plain,
( spl28_242
| ~ spl28_60
| ~ spl28_212 ),
inference(avatar_split_clause,[],[f1728,f1720,f736,f1897]) ).
fof(f736,plain,
( spl28_60
<=> ! [X0] :
( v11_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_60])]) ).
fof(f1720,plain,
( spl28_212
<=> sP0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_212])]) ).
fof(f1728,plain,
( v11_lattices(sK6)
| ~ spl28_60
| ~ spl28_212 ),
inference(resolution,[],[f1722,f737]) ).
fof(f737,plain,
( ! [X0] :
( ~ sP0(X0)
| v11_lattices(X0) )
| ~ spl28_60 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f1722,plain,
( sP0(sK6)
| ~ spl28_212 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1895,plain,
( spl28_241
| ~ spl28_61
| ~ spl28_212 ),
inference(avatar_split_clause,[],[f1727,f1720,f740,f1892]) ).
fof(f1892,plain,
( spl28_241
<=> v13_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_241])]) ).
fof(f740,plain,
( spl28_61
<=> ! [X0] :
( v13_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_61])]) ).
fof(f1727,plain,
( v13_lattices(sK6)
| ~ spl28_61
| ~ spl28_212 ),
inference(resolution,[],[f1722,f741]) ).
fof(f741,plain,
( ! [X0] :
( ~ sP0(X0)
| v13_lattices(X0) )
| ~ spl28_61 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f1885,plain,
( spl28_240
| ~ spl28_102
| ~ spl28_141 ),
inference(avatar_split_clause,[],[f1154,f1092,f904,f1883]) ).
fof(f1883,plain,
( spl28_240
<=> ! [X2] : r1_tarski(sK13(k1_zfmisc_1(X2)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_240])]) ).
fof(f1154,plain,
( ! [X2] : r1_tarski(sK13(k1_zfmisc_1(X2)),X2)
| ~ spl28_102
| ~ spl28_141 ),
inference(resolution,[],[f1093,f905]) ).
fof(f1881,plain,
( spl28_239
| ~ spl28_102
| ~ spl28_138 ),
inference(avatar_split_clause,[],[f1151,f1080,f904,f1879]) ).
fof(f1879,plain,
( spl28_239
<=> ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v1_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_239])]) ).
fof(f1151,plain,
( ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v1_membered(X2) )
| ~ spl28_102
| ~ spl28_138 ),
inference(resolution,[],[f1081,f905]) ).
fof(f1877,plain,
( spl28_238
| ~ spl28_102
| ~ spl28_137 ),
inference(avatar_split_clause,[],[f1147,f1076,f904,f1875]) ).
fof(f1875,plain,
( spl28_238
<=> ! [X2] :
( v1_xreal_0(sK13(X2))
| ~ v2_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_238])]) ).
fof(f1147,plain,
( ! [X2] :
( v1_xreal_0(sK13(X2))
| ~ v2_membered(X2) )
| ~ spl28_102
| ~ spl28_137 ),
inference(resolution,[],[f1077,f905]) ).
fof(f1873,plain,
( spl28_237
| ~ spl28_102
| ~ spl28_136 ),
inference(avatar_split_clause,[],[f1143,f1072,f904,f1871]) ).
fof(f1871,plain,
( spl28_237
<=> ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v2_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_237])]) ).
fof(f1143,plain,
( ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v2_membered(X2) )
| ~ spl28_102
| ~ spl28_136 ),
inference(resolution,[],[f1073,f905]) ).
fof(f1869,plain,
( spl28_236
| ~ spl28_102
| ~ spl28_135 ),
inference(avatar_split_clause,[],[f1139,f1068,f904,f1867]) ).
fof(f1867,plain,
( spl28_236
<=> ! [X2] :
( v1_rat_1(sK13(X2))
| ~ v3_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_236])]) ).
fof(f1139,plain,
( ! [X2] :
( v1_rat_1(sK13(X2))
| ~ v3_membered(X2) )
| ~ spl28_102
| ~ spl28_135 ),
inference(resolution,[],[f1069,f905]) ).
fof(f1865,plain,
( spl28_235
| ~ spl28_102
| ~ spl28_134 ),
inference(avatar_split_clause,[],[f1135,f1064,f904,f1863]) ).
fof(f1863,plain,
( spl28_235
<=> ! [X2] :
( v1_xreal_0(sK13(X2))
| ~ v3_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_235])]) ).
fof(f1135,plain,
( ! [X2] :
( v1_xreal_0(sK13(X2))
| ~ v3_membered(X2) )
| ~ spl28_102
| ~ spl28_134 ),
inference(resolution,[],[f1065,f905]) ).
fof(f1861,plain,
( spl28_234
| ~ spl28_102
| ~ spl28_133 ),
inference(avatar_split_clause,[],[f1131,f1060,f904,f1859]) ).
fof(f1859,plain,
( spl28_234
<=> ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v3_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_234])]) ).
fof(f1131,plain,
( ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v3_membered(X2) )
| ~ spl28_102
| ~ spl28_133 ),
inference(resolution,[],[f1061,f905]) ).
fof(f1857,plain,
( spl28_233
| ~ spl28_102
| ~ spl28_132 ),
inference(avatar_split_clause,[],[f1127,f1056,f904,f1855]) ).
fof(f1855,plain,
( spl28_233
<=> ! [X2] :
( v1_rat_1(sK13(X2))
| ~ v4_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_233])]) ).
fof(f1127,plain,
( ! [X2] :
( v1_rat_1(sK13(X2))
| ~ v4_membered(X2) )
| ~ spl28_102
| ~ spl28_132 ),
inference(resolution,[],[f1057,f905]) ).
fof(f1853,plain,
( spl28_232
| ~ spl28_102
| ~ spl28_130 ),
inference(avatar_split_clause,[],[f1123,f1047,f904,f1851]) ).
fof(f1851,plain,
( spl28_232
<=> ! [X2] :
( v1_int_1(sK13(X2))
| ~ v4_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_232])]) ).
fof(f1123,plain,
( ! [X2] :
( v1_int_1(sK13(X2))
| ~ v4_membered(X2) )
| ~ spl28_102
| ~ spl28_130 ),
inference(resolution,[],[f1048,f905]) ).
fof(f1849,plain,
( spl28_231
| ~ spl28_62
| ~ spl28_212 ),
inference(avatar_split_clause,[],[f1726,f1720,f744,f1846]) ).
fof(f1846,plain,
( spl28_231
<=> v14_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_231])]) ).
fof(f744,plain,
( spl28_62
<=> ! [X0] :
( v14_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_62])]) ).
fof(f1726,plain,
( v14_lattices(sK6)
| ~ spl28_62
| ~ spl28_212 ),
inference(resolution,[],[f1722,f745]) ).
fof(f745,plain,
( ! [X0] :
( ~ sP0(X0)
| v14_lattices(X0) )
| ~ spl28_62 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f1844,plain,
( spl28_230
| ~ spl28_102
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f1119,f1043,f904,f1842]) ).
fof(f1842,plain,
( spl28_230
<=> ! [X2] :
( v1_xreal_0(sK13(X2))
| ~ v4_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_230])]) ).
fof(f1119,plain,
( ! [X2] :
( v1_xreal_0(sK13(X2))
| ~ v4_membered(X2) )
| ~ spl28_102
| ~ spl28_129 ),
inference(resolution,[],[f1044,f905]) ).
fof(f1840,plain,
( spl28_229
| ~ spl28_102
| ~ spl28_128 ),
inference(avatar_split_clause,[],[f1115,f1039,f904,f1838]) ).
fof(f1838,plain,
( spl28_229
<=> ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v4_membered(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_229])]) ).
fof(f1115,plain,
( ! [X2] :
( v1_xcmplx_0(sK13(X2))
| ~ v4_membered(X2) )
| ~ spl28_102
| ~ spl28_128 ),
inference(resolution,[],[f1040,f905]) ).
fof(f1836,plain,
( spl28_228
| ~ spl28_102
| ~ spl28_127 ),
inference(avatar_split_clause,[],[f1111,f1035,f904,f1834]) ).
fof(f1111,plain,
( ! [X2] :
( sP3(sK13(X2))
| ~ v5_membered(X2) )
| ~ spl28_102
| ~ spl28_127 ),
inference(resolution,[],[f1036,f905]) ).
fof(f1827,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| spl28_227
| ~ spl28_5
| ~ spl28_189 ),
inference(avatar_split_clause,[],[f1541,f1535,f473,f1824,f468,f463,f458,f453]) ).
fof(f1541,plain,
( k7_lopclset(sK6) = a_1_1_lopclset(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_5
| ~ spl28_189 ),
inference(resolution,[],[f1536,f475]) ).
fof(f475,plain,
( l3_lattices(sK6)
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f1817,plain,
( spl28_1
| ~ spl28_2
| ~ spl28_3
| spl28_4
| spl28_226
| ~ spl28_5
| ~ spl28_188 ),
inference(avatar_split_clause,[],[f1538,f1531,f473,f1814,f468,f463,f458,f453]) ).
fof(f1538,plain,
( k9_lopclset(sK6) = k8_lopclset(sK6)
| v3_realset2(sK6)
| ~ v17_lattices(sK6)
| ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| ~ spl28_5
| ~ spl28_188 ),
inference(resolution,[],[f1532,f475]) ).
fof(f1806,plain,
( spl28_225
| ~ spl28_63
| ~ spl28_212 ),
inference(avatar_split_clause,[],[f1725,f1720,f748,f1803]) ).
fof(f1803,plain,
( spl28_225
<=> v15_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_225])]) ).
fof(f748,plain,
( spl28_63
<=> ! [X0] :
( v15_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_63])]) ).
fof(f1725,plain,
( v15_lattices(sK6)
| ~ spl28_63
| ~ spl28_212 ),
inference(resolution,[],[f1722,f749]) ).
fof(f749,plain,
( ! [X0] :
( ~ sP0(X0)
| v15_lattices(X0) )
| ~ spl28_63 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f1798,plain,
( spl28_224
| ~ spl28_10
| ~ spl28_101 ),
inference(avatar_split_clause,[],[f959,f900,f498,f1795]) ).
fof(f1795,plain,
( spl28_224
<=> sP5(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_224])]) ).
fof(f498,plain,
( spl28_10
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
fof(f959,plain,
( sP5(k1_xboole_0)
| ~ spl28_10
| ~ spl28_101 ),
inference(resolution,[],[f901,f500]) ).
fof(f500,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f1793,plain,
( spl28_223
| ~ spl28_10
| ~ spl28_95 ),
inference(avatar_split_clause,[],[f953,f876,f498,f1790]) ).
fof(f1790,plain,
( spl28_223
<=> v1_finset_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_223])]) ).
fof(f953,plain,
( v1_finset_1(k1_xboole_0)
| ~ spl28_10
| ~ spl28_95 ),
inference(resolution,[],[f877,f500]) ).
fof(f1788,plain,
( spl28_222
| ~ spl28_28
| ~ spl28_58 ),
inference(avatar_split_clause,[],[f932,f728,f588,f1785]) ).
fof(f1785,plain,
( spl28_222
<=> l2_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_222])]) ).
fof(f728,plain,
( spl28_58
<=> ! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_58])]) ).
fof(f932,plain,
( l2_lattices(sK26)
| ~ spl28_28
| ~ spl28_58 ),
inference(resolution,[],[f729,f590]) ).
fof(f729,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) )
| ~ spl28_58 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f1783,plain,
( spl28_221
| ~ spl28_18
| ~ spl28_58 ),
inference(avatar_split_clause,[],[f931,f728,f538,f1780]) ).
fof(f1780,plain,
( spl28_221
<=> l2_lattices(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_221])]) ).
fof(f931,plain,
( l2_lattices(sK22)
| ~ spl28_18
| ~ spl28_58 ),
inference(resolution,[],[f729,f540]) ).
fof(f1778,plain,
( spl28_220
| ~ spl28_28
| ~ spl28_57 ),
inference(avatar_split_clause,[],[f929,f724,f588,f1775]) ).
fof(f724,plain,
( spl28_57
<=> ! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_57])]) ).
fof(f929,plain,
( l1_lattices(sK26)
| ~ spl28_28
| ~ spl28_57 ),
inference(resolution,[],[f725,f590]) ).
fof(f725,plain,
( ! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) )
| ~ spl28_57 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f1773,plain,
( spl28_219
| ~ spl28_64
| ~ spl28_212 ),
inference(avatar_split_clause,[],[f1724,f1720,f752,f1770]) ).
fof(f1770,plain,
( spl28_219
<=> v16_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_219])]) ).
fof(f752,plain,
( spl28_64
<=> ! [X0] :
( v16_lattices(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_64])]) ).
fof(f1724,plain,
( v16_lattices(sK6)
| ~ spl28_64
| ~ spl28_212 ),
inference(resolution,[],[f1722,f753]) ).
fof(f753,plain,
( ! [X0] :
( ~ sP0(X0)
| v16_lattices(X0) )
| ~ spl28_64 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f1768,plain,
( spl28_218
| ~ spl28_18
| ~ spl28_57 ),
inference(avatar_split_clause,[],[f928,f724,f538,f1765]) ).
fof(f928,plain,
( l1_lattices(sK22)
| ~ spl28_18
| ~ spl28_57 ),
inference(resolution,[],[f725,f540]) ).
fof(f1763,plain,
( spl28_217
| ~ spl28_16
| ~ spl28_54 ),
inference(avatar_split_clause,[],[f924,f712,f528,f1760]) ).
fof(f1760,plain,
( spl28_217
<=> l1_struct_0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_217])]) ).
fof(f528,plain,
( spl28_16
<=> l1_lattices(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_16])]) ).
fof(f924,plain,
( l1_struct_0(sK20)
| ~ spl28_16
| ~ spl28_54 ),
inference(resolution,[],[f713,f530]) ).
fof(f530,plain,
( l1_lattices(sK20)
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f1758,plain,
( spl28_216
| ~ spl28_17
| ~ spl28_53 ),
inference(avatar_split_clause,[],[f923,f708,f533,f1755]) ).
fof(f1755,plain,
( spl28_216
<=> l1_struct_0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_216])]) ).
fof(f533,plain,
( spl28_17
<=> l2_lattices(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
fof(f708,plain,
( spl28_53
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_53])]) ).
fof(f923,plain,
( l1_struct_0(sK21)
| ~ spl28_17
| ~ spl28_53 ),
inference(resolution,[],[f709,f535]) ).
fof(f535,plain,
( l2_lattices(sK21)
| ~ spl28_17 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f709,plain,
( ! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) )
| ~ spl28_53 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f1750,plain,
( spl28_214
| spl28_215
| ~ spl28_9
| ~ spl28_163 ),
inference(avatar_split_clause,[],[f1329,f1253,f493,f1747,f1743]) ).
fof(f1329,plain,
( v1_xboole_0(u1_struct_0(sK6))
| r2_hidden(sK7,u1_struct_0(sK6))
| ~ spl28_9
| ~ spl28_163 ),
inference(resolution,[],[f1254,f495]) ).
fof(f1734,plain,
( spl28_213
| spl28_1
| ~ spl28_2
| ~ spl28_5
| ~ spl28_148 ),
inference(avatar_split_clause,[],[f1277,f1192,f473,f458,f453,f1731]) ).
fof(f1277,plain,
( ~ v10_lattices(sK6)
| v3_struct_0(sK6)
| sP2(sK6)
| ~ spl28_5
| ~ spl28_148 ),
inference(resolution,[],[f1193,f475]) ).
fof(f1723,plain,
( spl28_212
| spl28_1
| ~ spl28_3
| ~ spl28_5
| ~ spl28_147 ),
inference(avatar_split_clause,[],[f1274,f1188,f473,f463,f453,f1720]) ).
fof(f1274,plain,
( ~ v17_lattices(sK6)
| v3_struct_0(sK6)
| sP0(sK6)
| ~ spl28_5
| ~ spl28_147 ),
inference(resolution,[],[f1189,f475]) ).
fof(f1718,plain,
( ~ spl28_211
| spl28_169
| ~ spl28_9
| ~ spl28_138 ),
inference(avatar_split_clause,[],[f1148,f1080,f493,f1343,f1715]) ).
fof(f1715,plain,
( spl28_211
<=> v1_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_211])]) ).
fof(f1148,plain,
( v1_xcmplx_0(sK7)
| ~ v1_membered(u1_struct_0(sK6))
| ~ spl28_9
| ~ spl28_138 ),
inference(resolution,[],[f1081,f495]) ).
fof(f1713,plain,
( ~ spl28_210
| spl28_169
| ~ spl28_9
| ~ spl28_136 ),
inference(avatar_split_clause,[],[f1140,f1072,f493,f1343,f1710]) ).
fof(f1710,plain,
( spl28_210
<=> v2_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_210])]) ).
fof(f1140,plain,
( v1_xcmplx_0(sK7)
| ~ v2_membered(u1_struct_0(sK6))
| ~ spl28_9
| ~ spl28_136 ),
inference(resolution,[],[f1073,f495]) ).
fof(f1708,plain,
( ~ spl28_209
| spl28_169
| ~ spl28_9
| ~ spl28_133 ),
inference(avatar_split_clause,[],[f1128,f1060,f493,f1343,f1705]) ).
fof(f1705,plain,
( spl28_209
<=> v3_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_209])]) ).
fof(f1128,plain,
( v1_xcmplx_0(sK7)
| ~ v3_membered(u1_struct_0(sK6))
| ~ spl28_9
| ~ spl28_133 ),
inference(resolution,[],[f1061,f495]) ).
fof(f1703,plain,
( ~ spl28_208
| spl28_169
| ~ spl28_9
| ~ spl28_128 ),
inference(avatar_split_clause,[],[f1112,f1039,f493,f1343,f1700]) ).
fof(f1700,plain,
( spl28_208
<=> v4_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_208])]) ).
fof(f1112,plain,
( v1_xcmplx_0(sK7)
| ~ v4_membered(u1_struct_0(sK6))
| ~ spl28_9
| ~ spl28_128 ),
inference(resolution,[],[f1040,f495]) ).
fof(f1698,plain,
( ~ spl28_207
| spl28_156
| ~ spl28_9
| ~ spl28_127 ),
inference(avatar_split_clause,[],[f1108,f1035,f493,f1224,f1695]) ).
fof(f1695,plain,
( spl28_207
<=> v5_membered(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_207])]) ).
fof(f1108,plain,
( sP3(sK7)
| ~ v5_membered(u1_struct_0(sK6))
| ~ spl28_9
| ~ spl28_127 ),
inference(resolution,[],[f1036,f495]) ).
fof(f1693,plain,
( ~ spl28_206
| spl28_169
| ~ spl28_138
| ~ spl28_142 ),
inference(avatar_split_clause,[],[f1178,f1096,f1080,f1343,f1690]) ).
fof(f1690,plain,
( spl28_206
<=> v1_membered(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_206])]) ).
fof(f1096,plain,
( spl28_142
<=> m1_subset_1(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_142])]) ).
fof(f1178,plain,
( v1_xcmplx_0(sK7)
| ~ v1_membered(sK8)
| ~ spl28_138
| ~ spl28_142 ),
inference(resolution,[],[f1098,f1081]) ).
fof(f1098,plain,
( m1_subset_1(sK7,sK8)
| ~ spl28_142 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1680,plain,
spl28_205,
inference(avatar_split_clause,[],[f374,f1678]) ).
fof(f374,plain,
! [X2,X0,X1] :
( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0) )
& ( ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0) )
& ( ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( r2_hidden(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t21_lopclset) ).
fof(f1672,plain,
spl28_204,
inference(avatar_split_clause,[],[f373,f1670]) ).
fof(f373,plain,
! [X2,X0,X1] :
( r2_hidden(X1,X2)
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f1668,plain,
spl28_203,
inference(avatar_split_clause,[],[f372,f1666]) ).
fof(f372,plain,
! [X2,X0,X1] :
( v1_filter_0(X2,X0)
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ m1_filter_0(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f1662,plain,
spl28_202,
inference(avatar_split_clause,[],[f420,f1660]) ).
fof(f420,plain,
! [X2,X3,X0,X1] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',redefinition_k8_funct_2) ).
fof(f1657,plain,
spl28_201,
inference(avatar_split_clause,[],[f394,f1655]) ).
fof(f394,plain,
! [X2,X0,X1] :
( r2_hidden(X0,a_1_1_lopclset(X1))
| ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_1_lopclset(X1))
| ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) ) )
& ( ( v1_filter_0(sK14(X0,X1),X1)
& sK14(X0,X1) = X0
& m1_filter_0(sK14(X0,X1),X1) )
| ~ r2_hidden(X0,a_1_1_lopclset(X1)) ) )
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f217,f218]) ).
fof(f218,plain,
! [X0,X1] :
( ? [X3] :
( v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) )
=> ( v1_filter_0(sK14(X0,X1),X1)
& sK14(X0,X1) = X0
& m1_filter_0(sK14(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_1_lopclset(X1))
| ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) ) )
& ( ? [X3] :
( v1_filter_0(X3,X1)
& X0 = X3
& m1_filter_0(X3,X1) )
| ~ r2_hidden(X0,a_1_1_lopclset(X1)) ) )
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(rectify,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( ( ( r2_hidden(X0,a_1_1_lopclset(X1))
| ! [X2] :
( ~ v1_filter_0(X2,X1)
| X0 != X2
| ~ m1_filter_0(X2,X1) ) )
& ( ? [X2] :
( v1_filter_0(X2,X1)
& X0 = X2
& m1_filter_0(X2,X1) )
| ~ r2_hidden(X0,a_1_1_lopclset(X1)) ) )
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(nnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X0 = X2
& m1_filter_0(X2,X1) ) )
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X0 = X2
& m1_filter_0(X2,X1) ) )
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( l3_lattices(X1)
& ~ v3_realset2(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_1_1_lopclset(X1))
<=> ? [X2] :
( v1_filter_0(X2,X1)
& X0 = X2
& m1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',fraenkel_a_1_1_lopclset) ).
fof(f1625,plain,
spl28_200,
inference(avatar_split_clause,[],[f419,f1623]) ).
fof(f419,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,X0)
& m1_relset_1(X2,X0,X1)
& v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_k8_funct_2) ).
fof(f1617,plain,
spl28_199,
inference(avatar_split_clause,[],[f393,f1615]) ).
fof(f1615,plain,
( spl28_199
<=> ! [X0,X1] :
( v1_filter_0(sK14(X0,X1),X1)
| ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_199])]) ).
fof(f393,plain,
! [X0,X1] :
( v1_filter_0(sK14(X0,X1),X1)
| ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1613,plain,
spl28_198,
inference(avatar_split_clause,[],[f392,f1611]) ).
fof(f392,plain,
! [X0,X1] :
( sK14(X0,X1) = X0
| ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1609,plain,
spl28_197,
inference(avatar_split_clause,[],[f391,f1607]) ).
fof(f391,plain,
! [X0,X1] :
( m1_filter_0(sK14(X0,X1),X1)
| ~ r2_hidden(X0,a_1_1_lopclset(X1))
| ~ l3_lattices(X1)
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f1602,plain,
( ~ spl28_196
| spl28_169
| ~ spl28_136
| ~ spl28_142 ),
inference(avatar_split_clause,[],[f1176,f1096,f1072,f1343,f1599]) ).
fof(f1599,plain,
( spl28_196
<=> v2_membered(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_196])]) ).
fof(f1176,plain,
( v1_xcmplx_0(sK7)
| ~ v2_membered(sK8)
| ~ spl28_136
| ~ spl28_142 ),
inference(resolution,[],[f1098,f1073]) ).
fof(f1596,plain,
spl28_195,
inference(avatar_split_clause,[],[f371,f1594]) ).
fof(f371,plain,
! [X0] :
( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& v1_funct_1(k9_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_k9_lopclset) ).
fof(f1592,plain,
spl28_194,
inference(avatar_split_clause,[],[f370,f1590]) ).
fof(f370,plain,
! [X0] :
( v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1588,plain,
spl28_193,
inference(avatar_split_clause,[],[f284,f1586]) ).
fof(f1586,plain,
( spl28_193
<=> ! [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,[spl28_193])]) ).
fof(f284,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,[],[f101]) ).
fof(f101,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,[],[f100]) ).
fof(f100,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,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc2_lattices) ).
fof(f1557,plain,
spl28_192,
inference(avatar_split_clause,[],[f366,f1555]) ).
fof(f366,plain,
! [X0] :
( m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0] :
( m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k7_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_k7_lopclset) ).
fof(f1551,plain,
spl28_191,
inference(avatar_split_clause,[],[f388,f1549]) ).
fof(f388,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,[],[f161]) ).
fof(f161,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,[],[f160]) ).
fof(f160,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,[],[f49]) ).
fof(f49,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/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc6_funct_2) ).
fof(f1547,plain,
spl28_190,
inference(avatar_split_clause,[],[f382,f1545]) ).
fof(f382,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,[],[f155]) ).
fof(f155,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,[],[f154]) ).
fof(f154,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,[],[f48]) ).
fof(f48,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/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc5_funct_2) ).
fof(f1537,plain,
spl28_189,
inference(avatar_split_clause,[],[f365,f1535]) ).
fof(f365,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( k7_lopclset(X0) = a_1_1_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_lopclset(X0) = a_1_1_lopclset(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',d5_lopclset) ).
fof(f1533,plain,
spl28_188,
inference(avatar_split_clause,[],[f364,f1531]) ).
fof(f364,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k9_lopclset(X0) = k8_lopclset(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',redefinition_k9_lopclset) ).
fof(f1502,plain,
spl28_187,
inference(avatar_split_clause,[],[f413,f1500]) ).
fof(f1500,plain,
( spl28_187
<=> ! [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,[spl28_187])]) ).
fof(f413,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,[],[f171]) ).
fof(f171,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,[],[f170]) ).
fof(f170,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,[],[f14]) ).
fof(f14,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/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc1_funct_2) ).
fof(f1498,plain,
spl28_186,
inference(avatar_split_clause,[],[f376,f1496]) ).
fof(f376,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_m1_filter_0) ).
fof(f1484,plain,
( ~ spl28_185
| spl28_169
| ~ spl28_133
| ~ spl28_142 ),
inference(avatar_split_clause,[],[f1173,f1096,f1060,f1343,f1481]) ).
fof(f1481,plain,
( spl28_185
<=> v3_membered(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_185])]) ).
fof(f1173,plain,
( v1_xcmplx_0(sK7)
| ~ v3_membered(sK8)
| ~ spl28_133
| ~ spl28_142 ),
inference(resolution,[],[f1098,f1061]) ).
fof(f1479,plain,
spl28_184,
inference(avatar_split_clause,[],[f397,f1477]) ).
fof(f397,plain,
! [X0,X1] :
( X0 = X1
| ~ r2_hidden(sK15(X0,X1),X1)
| ~ r2_hidden(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ r2_hidden(sK15(X0,X1),X1)
| ~ r2_hidden(sK15(X0,X1),X0) )
& ( r2_hidden(sK15(X0,X1),X1)
| r2_hidden(sK15(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f220,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
& ( r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) )
=> ( ( ~ r2_hidden(sK15(X0,X1),X1)
| ~ r2_hidden(sK15(X0,X1),X0) )
& ( r2_hidden(sK15(X0,X1),X1)
| r2_hidden(sK15(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
& ( r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) ) ),
inference(nnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t2_tarski) ).
fof(f1475,plain,
spl28_183,
inference(avatar_split_clause,[],[f396,f1473]) ).
fof(f396,plain,
! [X0,X1] :
( X0 = X1
| r2_hidden(sK15(X0,X1),X1)
| r2_hidden(sK15(X0,X1),X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1471,plain,
spl28_182,
inference(avatar_split_clause,[],[f369,f1469]) ).
fof(f369,plain,
! [X0] :
( v1_funct_1(k9_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f1467,plain,
spl28_181,
inference(avatar_split_clause,[],[f368,f1465]) ).
fof(f1465,plain,
( spl28_181
<=> ! [X0] :
( v1_funct_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_181])]) ).
fof(f368,plain,
! [X0] :
( v1_funct_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( v1_funct_1(k8_lopclset(X0))
& v1_relat_1(k8_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( v1_funct_1(k8_lopclset(X0))
& v1_relat_1(k8_lopclset(X0)) )
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v1_funct_1(k8_lopclset(X0))
& v1_relat_1(k8_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_k8_lopclset) ).
fof(f1463,plain,
spl28_180,
inference(avatar_split_clause,[],[f367,f1461]) ).
fof(f1461,plain,
( spl28_180
<=> ! [X0] :
( v1_relat_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_180])]) ).
fof(f367,plain,
! [X0] :
( v1_relat_1(k8_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f1459,plain,
spl28_179,
inference(avatar_split_clause,[],[f363,f1457]) ).
fof(f363,plain,
! [X0] :
( ~ v1_xboole_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ v1_xboole_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ~ v1_xboole_0(k7_lopclset(X0))
| ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k7_lopclset(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',fc2_lopclset) ).
fof(f1454,plain,
spl28_178,
inference(avatar_split_clause,[],[f282,f1452]) ).
fof(f1452,plain,
( spl28_178
<=> ! [X0] :
( v17_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_178])]) ).
fof(f282,plain,
! [X0] :
( v17_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v11_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v16_lattices(X0)
& v15_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v17_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc6_lattices) ).
fof(f1447,plain,
spl28_177,
inference(avatar_split_clause,[],[f375,f1445]) ).
fof(f375,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f1382,plain,
spl28_176,
inference(avatar_split_clause,[],[f415,f1380]) ).
fof(f415,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t4_subset) ).
fof(f1378,plain,
spl28_175,
inference(avatar_split_clause,[],[f411,f1376]) ).
fof(f411,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,[],[f169]) ).
fof(f169,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,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_m2_relset_1) ).
fof(f1374,plain,
spl28_174,
inference(avatar_split_clause,[],[f377,f1372]) ).
fof(f377,plain,
! [X0] :
( m1_filter_0(sK12(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( m1_filter_0(sK12(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f151,f212]) ).
fof(f212,plain,
! [X0] :
( ? [X1] : m1_filter_0(X1,X0)
=> m1_filter_0(sK12(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X0] :
( ? [X1] : m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ? [X1] : m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_filter_0(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_m1_filter_0) ).
fof(f1370,plain,
spl28_173,
inference(avatar_split_clause,[],[f361,f1368]) ).
fof(f361,plain,
! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ( ~ v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f133,f208]) ).
fof(f208,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f133,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,[],[f132]) ).
fof(f132,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,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc5_struct_0) ).
fof(f1366,plain,
spl28_172,
inference(avatar_split_clause,[],[f306,f1364]) ).
fof(f306,plain,
! [X0] :
( sP1(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( sP1(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f109,f182]) ).
fof(f182,plain,
! [X0] :
( ( v12_lattices(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) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f109,plain,
! [X0] :
( ( v12_lattices(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) )
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( v12_lattices(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) )
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v11_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v12_lattices(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) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc7_lattices) ).
fof(f1362,plain,
spl28_171,
inference(avatar_split_clause,[],[f286,f1360]) ).
fof(f1360,plain,
( spl28_171
<=> ! [X0] :
( v15_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_171])]) ).
fof(f286,plain,
! [X0] :
( v15_lattices(X0)
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( v15_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,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,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v15_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc3_lattices) ).
fof(f1354,plain,
spl28_170,
inference(avatar_split_clause,[],[f418,f1352]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t5_subset) ).
fof(f1346,plain,
( ~ spl28_168
| spl28_169
| ~ spl28_128
| ~ spl28_142 ),
inference(avatar_split_clause,[],[f1169,f1096,f1039,f1343,f1339]) ).
fof(f1339,plain,
( spl28_168
<=> v4_membered(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_168])]) ).
fof(f1169,plain,
( v1_xcmplx_0(sK7)
| ~ v4_membered(sK8)
| ~ spl28_128
| ~ spl28_142 ),
inference(resolution,[],[f1098,f1040]) ).
fof(f1271,plain,
spl28_167,
inference(avatar_split_clause,[],[f417,f1269]) ).
fof(f417,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,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,[],[f35]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',redefinition_m2_relset_1) ).
fof(f1267,plain,
spl28_166,
inference(avatar_split_clause,[],[f416,f1265]) ).
fof(f416,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f1263,plain,
spl28_165,
inference(avatar_split_clause,[],[f414,f1261]) ).
fof(f414,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc1_relset_1) ).
fof(f1259,plain,
spl28_164,
inference(avatar_split_clause,[],[f395,f1257]) ).
fof(f395,plain,
! [X0,X1] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( v1_finset_1(k2_zfmisc_1(X0,X1))
| ~ v1_finset_1(X1)
| ~ v1_finset_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( v1_finset_1(X1)
& v1_finset_1(X0) )
=> v1_finset_1(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',fc14_finset_1) ).
fof(f1255,plain,
spl28_163,
inference(avatar_split_clause,[],[f386,f1253]) ).
fof(f386,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t2_subset) ).
fof(f1251,plain,
spl28_162,
inference(avatar_split_clause,[],[f351,f1249]) ).
fof(f351,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> v1_membered(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc16_membered) ).
fof(f1247,plain,
spl28_161,
inference(avatar_split_clause,[],[f349,f1245]) ).
fof(f349,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc17_membered) ).
fof(f1243,plain,
spl28_160,
inference(avatar_split_clause,[],[f348,f1241]) ).
fof(f348,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1239,plain,
spl28_159,
inference(avatar_split_clause,[],[f344,f1237]) ).
fof(f344,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc18_membered) ).
fof(f1235,plain,
spl28_158,
inference(avatar_split_clause,[],[f343,f1233]) ).
fof(f343,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1231,plain,
spl28_157,
inference(avatar_split_clause,[],[f342,f1229]) ).
fof(f342,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1227,plain,
( ~ spl28_155
| spl28_156
| ~ spl28_127
| ~ spl28_142 ),
inference(avatar_split_clause,[],[f1168,f1096,f1035,f1224,f1220]) ).
fof(f1220,plain,
( spl28_155
<=> v5_membered(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_155])]) ).
fof(f1168,plain,
( sP3(sK7)
| ~ v5_membered(sK8)
| ~ spl28_127
| ~ spl28_142 ),
inference(resolution,[],[f1098,f1036]) ).
fof(f1218,plain,
spl28_154,
inference(avatar_split_clause,[],[f337,f1216]) ).
fof(f337,plain,
! [X0,X1] :
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc19_membered) ).
fof(f1214,plain,
spl28_153,
inference(avatar_split_clause,[],[f336,f1212]) ).
fof(f336,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f1210,plain,
spl28_152,
inference(avatar_split_clause,[],[f335,f1208]) ).
fof(f335,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f1206,plain,
spl28_151,
inference(avatar_split_clause,[],[f334,f1204]) ).
fof(f334,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f1202,plain,
spl28_150,
inference(avatar_split_clause,[],[f333,f1200]) ).
fof(f333,plain,
! [X0,X1] :
( v1_finset_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_finset_1(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( v1_finset_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v1_finset_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( v1_finset_1(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> v1_finset_1(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc2_finset_1) ).
fof(f1198,plain,
spl28_149,
inference(avatar_split_clause,[],[f327,f1196]) ).
fof(f327,plain,
! [X0,X1] :
( sP4(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( sP4(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f114,f188]) ).
fof(f188,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc20_membered) ).
fof(f1194,plain,
spl28_148,
inference(avatar_split_clause,[],[f314,f1192]) ).
fof(f314,plain,
! [X0] :
( sP2(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( sP2(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f111,f184]) ).
fof(f184,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f111,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,[],[f110]) ).
fof(f110,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,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc1_lattices) ).
fof(f1190,plain,
spl28_147,
inference(avatar_split_clause,[],[f296,f1188]) ).
fof(f296,plain,
! [X0] :
( sP0(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( sP0(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f107,f180]) ).
fof(f180,plain,
! [X0] :
( ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f107,plain,
! [X0] :
( ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v17_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc5_lattices) ).
fof(f1186,plain,
spl28_146,
inference(avatar_split_clause,[],[f289,f1184]) ).
fof(f1184,plain,
( spl28_146
<=> ! [X0] :
( v14_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_146])]) ).
fof(f289,plain,
! [X0] :
( v14_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v15_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc4_lattices) ).
fof(f1182,plain,
spl28_145,
inference(avatar_split_clause,[],[f288,f1180]) ).
fof(f1180,plain,
( spl28_145
<=> ! [X0] :
( v13_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_145])]) ).
fof(f288,plain,
! [X0] :
( v13_lattices(X0)
| ~ v15_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f1107,plain,
spl28_144,
inference(avatar_split_clause,[],[f400,f1105]) ).
fof(f1105,plain,
( spl28_144
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_144])]) ).
fof(f400,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t8_boole) ).
fof(f1103,plain,
spl28_143,
inference(avatar_split_clause,[],[f399,f1101]) ).
fof(f399,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t3_subset) ).
fof(f1099,plain,
( spl28_142
| ~ spl28_8
| ~ spl28_119 ),
inference(avatar_split_clause,[],[f1025,f1000,f488,f1096]) ).
fof(f1025,plain,
( m1_subset_1(sK7,sK8)
| ~ spl28_8
| ~ spl28_119 ),
inference(resolution,[],[f1001,f490]) ).
fof(f1094,plain,
spl28_141,
inference(avatar_split_clause,[],[f398,f1092]) ).
fof(f398,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1090,plain,
spl28_140,
inference(avatar_split_clause,[],[f362,f1088]) ).
fof(f1088,plain,
( spl28_140
<=> ! [X0] :
( ~ v1_xboole_0(sK11(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_140])]) ).
fof(f362,plain,
! [X0] :
( ~ v1_xboole_0(sK11(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f1086,plain,
spl28_139,
inference(avatar_split_clause,[],[f360,f1084]) ).
fof(f360,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',fc1_struct_0) ).
fof(f1082,plain,
spl28_138,
inference(avatar_split_clause,[],[f350,f1080]) ).
fof(f350,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> v1_xcmplx_0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc10_membered) ).
fof(f1078,plain,
spl28_137,
inference(avatar_split_clause,[],[f347,f1076]) ).
fof(f347,plain,
! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc11_membered) ).
fof(f1074,plain,
spl28_136,
inference(avatar_split_clause,[],[f346,f1072]) ).
fof(f346,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1070,plain,
spl28_135,
inference(avatar_split_clause,[],[f341,f1068]) ).
fof(f341,plain,
! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc12_membered) ).
fof(f1066,plain,
spl28_134,
inference(avatar_split_clause,[],[f340,f1064]) ).
fof(f340,plain,
! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1062,plain,
spl28_133,
inference(avatar_split_clause,[],[f339,f1060]) ).
fof(f339,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f1058,plain,
spl28_132,
inference(avatar_split_clause,[],[f332,f1056]) ).
fof(f332,plain,
! [X0,X1] :
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc13_membered) ).
fof(f1054,plain,
( ~ spl28_131
| ~ spl28_8
| ~ spl28_117 ),
inference(avatar_split_clause,[],[f1024,f991,f488,f1051]) ).
fof(f1051,plain,
( spl28_131
<=> r2_hidden(sK8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_131])]) ).
fof(f1024,plain,
( ~ r2_hidden(sK8,sK7)
| ~ spl28_8
| ~ spl28_117 ),
inference(resolution,[],[f992,f490]) ).
fof(f1049,plain,
spl28_130,
inference(avatar_split_clause,[],[f331,f1047]) ).
fof(f331,plain,
! [X0,X1] :
( v1_int_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f1045,plain,
spl28_129,
inference(avatar_split_clause,[],[f330,f1043]) ).
fof(f330,plain,
! [X0,X1] :
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f1041,plain,
spl28_128,
inference(avatar_split_clause,[],[f329,f1039]) ).
fof(f329,plain,
! [X0,X1] :
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f1037,plain,
spl28_127,
inference(avatar_split_clause,[],[f321,f1035]) ).
fof(f321,plain,
! [X0,X1] :
( sP3(X1)
| ~ m1_subset_1(X1,X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( sP3(X1)
| ~ m1_subset_1(X1,X0) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f113,f186]) ).
fof(f186,plain,
! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ sP3(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc14_membered) ).
fof(f1033,plain,
spl28_126,
inference(avatar_split_clause,[],[f272,f1031]) ).
fof(f272,plain,
! [X0] :
( m1_subset_1(sK10(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ( v1_finset_1(sK10(X0))
& ~ v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f93,f198]) ).
fof(f198,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_finset_1(sK10(X0))
& ~ v1_xboole_0(sK10(X0))
& m1_subset_1(sK10(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc4_finset_1) ).
fof(f1029,plain,
spl28_125,
inference(avatar_split_clause,[],[f269,f1027]) ).
fof(f269,plain,
! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ( v1_finset_1(sK9(X0))
& ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f92,f196]) ).
fof(f196,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_finset_1(sK9(X0))
& ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( v1_finset_1(X1)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc3_finset_1) ).
fof(f1022,plain,
spl28_124,
inference(avatar_split_clause,[],[f410,f1020]) ).
fof(f410,plain,
! [X0,X1] : v1_funct_2(sK19(X0,X1),X0,X1),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( v1_funct_2(sK19(X0,X1),X0,X1)
& v1_funct_1(sK19(X0,X1))
& v1_relat_1(sK19(X0,X1))
& m1_relset_1(sK19(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f53,f230]) ).
fof(f230,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(sK19(X0,X1),X0,X1)
& v1_funct_1(sK19(X0,X1))
& v1_relat_1(sK19(X0,X1))
& m1_relset_1(sK19(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,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/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc1_funct_2) ).
fof(f1018,plain,
spl28_123,
inference(avatar_split_clause,[],[f407,f1016]) ).
fof(f407,plain,
! [X0,X1] : m1_relset_1(sK19(X0,X1),X0,X1),
inference(cnf_transformation,[],[f231]) ).
fof(f1014,plain,
spl28_122,
inference(avatar_split_clause,[],[f404,f1012]) ).
fof(f404,plain,
! [X0,X1] : m1_relset_1(sK18(X0,X1),X0,X1),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [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])],[f54,f228]) ).
fof(f228,plain,
! [X0,X1] :
( ? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,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(f54,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc2_partfun1) ).
fof(f1010,plain,
spl28_121,
inference(avatar_split_clause,[],[f403,f1008]) ).
fof(f403,plain,
! [X0,X1] : m1_relset_1(sK17(X0,X1),X0,X1),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] : m1_relset_1(sK17(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f33,f226]) ).
fof(f226,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK17(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f33,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_m1_relset_1) ).
fof(f1006,plain,
spl28_120,
inference(avatar_split_clause,[],[f402,f1004]) ).
fof(f402,plain,
! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] : m2_relset_1(sK16(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f34,f224]) ).
fof(f224,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK16(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_m2_relset_1) ).
fof(f1002,plain,
spl28_119,
inference(avatar_split_clause,[],[f385,f1000]) ).
fof(f385,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t1_subset) ).
fof(f998,plain,
( ~ spl28_118
| ~ spl28_8
| ~ spl28_115 ),
inference(avatar_split_clause,[],[f985,f981,f488,f995]) ).
fof(f995,plain,
( spl28_118
<=> v1_xboole_0(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_118])]) ).
fof(f985,plain,
( ~ v1_xboole_0(sK8)
| ~ spl28_8
| ~ spl28_115 ),
inference(resolution,[],[f982,f490]) ).
fof(f993,plain,
spl28_117,
inference(avatar_split_clause,[],[f384,f991]) ).
fof(f384,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',antisymmetry_r2_hidden) ).
fof(f989,plain,
spl28_116,
inference(avatar_split_clause,[],[f378,f987]) ).
fof(f987,plain,
( spl28_116
<=> ! [X0] :
( v4_finsub_1(X0)
| ~ v3_finsub_1(X0)
| ~ v1_finsub_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_116])]) ).
fof(f378,plain,
! [X0] :
( v4_finsub_1(X0)
| ~ v3_finsub_1(X0)
| ~ v1_finsub_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( v4_finsub_1(X0)
| ~ v3_finsub_1(X0)
| ~ v1_finsub_1(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( v4_finsub_1(X0)
| ~ v3_finsub_1(X0)
| ~ v1_finsub_1(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( v3_finsub_1(X0)
& v1_finsub_1(X0) )
=> v4_finsub_1(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc2_finsub_1) ).
fof(f983,plain,
spl28_115,
inference(avatar_split_clause,[],[f401,f981]) ).
fof(f401,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t7_boole) ).
fof(f979,plain,
spl28_114,
inference(avatar_split_clause,[],[f353,f977]) ).
fof(f353,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t6_boole) ).
fof(f975,plain,
spl28_113,
inference(avatar_split_clause,[],[f274,f973]) ).
fof(f973,plain,
( spl28_113
<=> ! [X0] :
( v1_finset_1(sK10(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_113])]) ).
fof(f274,plain,
! [X0] :
( v1_finset_1(sK10(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f971,plain,
spl28_112,
inference(avatar_split_clause,[],[f273,f969]) ).
fof(f969,plain,
( spl28_112
<=> ! [X0] :
( ~ v1_xboole_0(sK10(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_112])]) ).
fof(f273,plain,
! [X0] :
( ~ v1_xboole_0(sK10(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f967,plain,
spl28_111,
inference(avatar_split_clause,[],[f271,f965]) ).
fof(f965,plain,
( spl28_111
<=> ! [X0] :
( v1_finset_1(sK9(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_111])]) ).
fof(f271,plain,
! [X0] :
( v1_finset_1(sK9(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f963,plain,
spl28_110,
inference(avatar_split_clause,[],[f270,f961]) ).
fof(f961,plain,
( spl28_110
<=> ! [X0] :
( ~ v1_xboole_0(sK9(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_110])]) ).
fof(f270,plain,
! [X0] :
( ~ v1_xboole_0(sK9(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f958,plain,
( spl28_109
| ~ spl28_54
| ~ spl28_107 ),
inference(avatar_split_clause,[],[f943,f934,f712,f955]) ).
fof(f934,plain,
( spl28_107
<=> l1_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_107])]) ).
fof(f943,plain,
( l1_struct_0(sK6)
| ~ spl28_54
| ~ spl28_107 ),
inference(resolution,[],[f936,f713]) ).
fof(f936,plain,
( l1_lattices(sK6)
| ~ spl28_107 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f942,plain,
( spl28_108
| ~ spl28_5
| ~ spl28_58 ),
inference(avatar_split_clause,[],[f930,f728,f473,f939]) ).
fof(f939,plain,
( spl28_108
<=> l2_lattices(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_108])]) ).
fof(f930,plain,
( l2_lattices(sK6)
| ~ spl28_5
| ~ spl28_58 ),
inference(resolution,[],[f729,f475]) ).
fof(f937,plain,
( spl28_107
| ~ spl28_5
| ~ spl28_57 ),
inference(avatar_split_clause,[],[f927,f724,f473,f934]) ).
fof(f927,plain,
( l1_lattices(sK6)
| ~ spl28_5
| ~ spl28_57 ),
inference(resolution,[],[f725,f475]) ).
fof(f922,plain,
spl28_106,
inference(avatar_split_clause,[],[f409,f920]) ).
fof(f920,plain,
( spl28_106
<=> ! [X0,X1] : v1_funct_1(sK19(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_106])]) ).
fof(f409,plain,
! [X0,X1] : v1_funct_1(sK19(X0,X1)),
inference(cnf_transformation,[],[f231]) ).
fof(f918,plain,
spl28_105,
inference(avatar_split_clause,[],[f408,f916]) ).
fof(f916,plain,
( spl28_105
<=> ! [X0,X1] : v1_relat_1(sK19(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_105])]) ).
fof(f408,plain,
! [X0,X1] : v1_relat_1(sK19(X0,X1)),
inference(cnf_transformation,[],[f231]) ).
fof(f914,plain,
spl28_104,
inference(avatar_split_clause,[],[f406,f912]) ).
fof(f912,plain,
( spl28_104
<=> ! [X0,X1] : v1_funct_1(sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_104])]) ).
fof(f406,plain,
! [X0,X1] : v1_funct_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f229]) ).
fof(f910,plain,
spl28_103,
inference(avatar_split_clause,[],[f405,f908]) ).
fof(f908,plain,
( spl28_103
<=> ! [X0,X1] : v1_relat_1(sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_103])]) ).
fof(f405,plain,
! [X0,X1] : v1_relat_1(sK18(X0,X1)),
inference(cnf_transformation,[],[f229]) ).
fof(f906,plain,
spl28_102,
inference(avatar_split_clause,[],[f379,f904]) ).
fof(f379,plain,
! [X0] : m1_subset_1(sK13(X0),X0),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] : m1_subset_1(sK13(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f66,f214]) ).
fof(f214,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f66,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_m1_subset_1) ).
fof(f902,plain,
spl28_101,
inference(avatar_split_clause,[],[f359,f900]) ).
fof(f359,plain,
! [X0] :
( sP5(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( sP5(X0)
| ~ v1_xboole_0(X0) ),
inference(definition_folding,[],[f129,f190]) ).
fof(f190,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f129,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc15_membered) ).
fof(f898,plain,
spl28_100,
inference(avatar_split_clause,[],[f358,f896]) ).
fof(f896,plain,
( spl28_100
<=> ! [X0] :
( v5_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_100])]) ).
fof(f358,plain,
! [X0] :
( v5_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f190]) ).
fof(f894,plain,
spl28_99,
inference(avatar_split_clause,[],[f357,f892]) ).
fof(f892,plain,
( spl28_99
<=> ! [X0] :
( v4_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_99])]) ).
fof(f357,plain,
! [X0] :
( v4_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f890,plain,
spl28_98,
inference(avatar_split_clause,[],[f356,f888]) ).
fof(f888,plain,
( spl28_98
<=> ! [X0] :
( v3_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_98])]) ).
fof(f356,plain,
! [X0] :
( v3_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f886,plain,
spl28_97,
inference(avatar_split_clause,[],[f355,f884]) ).
fof(f884,plain,
( spl28_97
<=> ! [X0] :
( v2_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_97])]) ).
fof(f355,plain,
! [X0] :
( v2_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f882,plain,
spl28_96,
inference(avatar_split_clause,[],[f354,f880]) ).
fof(f880,plain,
( spl28_96
<=> ! [X0] :
( v1_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_96])]) ).
fof(f354,plain,
! [X0] :
( v1_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f878,plain,
spl28_95,
inference(avatar_split_clause,[],[f352,f876]) ).
fof(f352,plain,
! [X0] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( v1_finset_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_finset_1(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc1_finset_1) ).
fof(f874,plain,
spl28_94,
inference(avatar_split_clause,[],[f345,f872]) ).
fof(f872,plain,
( spl28_94
<=> ! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_94])]) ).
fof(f345,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( v2_membered(X0)
=> v1_membered(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc4_membered) ).
fof(f870,plain,
spl28_93,
inference(avatar_split_clause,[],[f338,f868]) ).
fof(f868,plain,
( spl28_93
<=> ! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_93])]) ).
fof(f338,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( v3_membered(X0)
=> v2_membered(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc3_membered) ).
fof(f866,plain,
spl28_92,
inference(avatar_split_clause,[],[f328,f864]) ).
fof(f864,plain,
( spl28_92
<=> ! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_92])]) ).
fof(f328,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( v4_membered(X0)
=> v3_membered(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc2_membered) ).
fof(f862,plain,
spl28_91,
inference(avatar_split_clause,[],[f326,f860]) ).
fof(f326,plain,
! [X0] :
( v5_membered(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP4(X0) ),
inference(rectify,[],[f205]) ).
fof(f205,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP4(X1) ),
inference(nnf_transformation,[],[f188]) ).
fof(f858,plain,
spl28_90,
inference(avatar_split_clause,[],[f325,f856]) ).
fof(f325,plain,
! [X0] :
( v4_membered(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f854,plain,
spl28_89,
inference(avatar_split_clause,[],[f324,f852]) ).
fof(f324,plain,
! [X0] :
( v3_membered(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f850,plain,
spl28_88,
inference(avatar_split_clause,[],[f323,f848]) ).
fof(f323,plain,
! [X0] :
( v2_membered(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f846,plain,
spl28_87,
inference(avatar_split_clause,[],[f322,f844]) ).
fof(f322,plain,
! [X0] :
( v1_membered(X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f842,plain,
spl28_86,
inference(avatar_split_clause,[],[f320,f840]) ).
fof(f320,plain,
! [X0] :
( v1_rat_1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ( v1_rat_1(X0)
& v1_int_1(X0)
& v1_xreal_0(X0)
& v4_ordinal2(X0)
& v1_xcmplx_0(X0) )
| ~ sP3(X0) ),
inference(rectify,[],[f203]) ).
fof(f203,plain,
! [X1] :
( ( v1_rat_1(X1)
& v1_int_1(X1)
& v1_xreal_0(X1)
& v4_ordinal2(X1)
& v1_xcmplx_0(X1) )
| ~ sP3(X1) ),
inference(nnf_transformation,[],[f186]) ).
fof(f838,plain,
spl28_85,
inference(avatar_split_clause,[],[f319,f836]) ).
fof(f319,plain,
! [X0] :
( v1_int_1(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f834,plain,
spl28_84,
inference(avatar_split_clause,[],[f318,f832]) ).
fof(f318,plain,
! [X0] :
( v1_xreal_0(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f830,plain,
spl28_83,
inference(avatar_split_clause,[],[f317,f828]) ).
fof(f317,plain,
! [X0] :
( v4_ordinal2(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f826,plain,
spl28_82,
inference(avatar_split_clause,[],[f316,f824]) ).
fof(f316,plain,
! [X0] :
( v1_xcmplx_0(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f822,plain,
spl28_81,
inference(avatar_split_clause,[],[f315,f820]) ).
fof(f820,plain,
( spl28_81
<=> ! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_81])]) ).
fof(f315,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( v5_membered(X0)
=> v4_membered(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc1_membered) ).
fof(f818,plain,
spl28_80,
inference(avatar_split_clause,[],[f313,f816]) ).
fof(f313,plain,
! [X0] :
( v9_lattices(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f184]) ).
fof(f814,plain,
spl28_79,
inference(avatar_split_clause,[],[f312,f812]) ).
fof(f312,plain,
! [X0] :
( v8_lattices(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f810,plain,
spl28_78,
inference(avatar_split_clause,[],[f311,f808]) ).
fof(f311,plain,
! [X0] :
( v7_lattices(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f806,plain,
spl28_77,
inference(avatar_split_clause,[],[f310,f804]) ).
fof(f310,plain,
! [X0] :
( v6_lattices(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f802,plain,
spl28_76,
inference(avatar_split_clause,[],[f309,f800]) ).
fof(f309,plain,
! [X0] :
( v5_lattices(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f798,plain,
spl28_75,
inference(avatar_split_clause,[],[f308,f796]) ).
fof(f308,plain,
! [X0] :
( v4_lattices(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f794,plain,
spl28_74,
inference(avatar_split_clause,[],[f307,f792]) ).
fof(f792,plain,
( spl28_74
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_74])]) ).
fof(f307,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f790,plain,
spl28_73,
inference(avatar_split_clause,[],[f305,f788]) ).
fof(f305,plain,
! [X0] :
( v12_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ( v12_lattices(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) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f182]) ).
fof(f786,plain,
spl28_72,
inference(avatar_split_clause,[],[f304,f784]) ).
fof(f784,plain,
( spl28_72
<=> ! [X0] :
( v10_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_72])]) ).
fof(f304,plain,
! [X0] :
( v10_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f782,plain,
spl28_71,
inference(avatar_split_clause,[],[f303,f780]) ).
fof(f780,plain,
( spl28_71
<=> ! [X0] :
( v9_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_71])]) ).
fof(f303,plain,
! [X0] :
( v9_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f778,plain,
spl28_70,
inference(avatar_split_clause,[],[f302,f776]) ).
fof(f776,plain,
( spl28_70
<=> ! [X0] :
( v8_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_70])]) ).
fof(f302,plain,
! [X0] :
( v8_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f774,plain,
spl28_69,
inference(avatar_split_clause,[],[f301,f772]) ).
fof(f772,plain,
( spl28_69
<=> ! [X0] :
( v7_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_69])]) ).
fof(f301,plain,
! [X0] :
( v7_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f770,plain,
spl28_68,
inference(avatar_split_clause,[],[f300,f768]) ).
fof(f768,plain,
( spl28_68
<=> ! [X0] :
( v6_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_68])]) ).
fof(f300,plain,
! [X0] :
( v6_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f766,plain,
spl28_67,
inference(avatar_split_clause,[],[f299,f764]) ).
fof(f764,plain,
( spl28_67
<=> ! [X0] :
( v5_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_67])]) ).
fof(f299,plain,
! [X0] :
( v5_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f762,plain,
spl28_66,
inference(avatar_split_clause,[],[f298,f760]) ).
fof(f760,plain,
( spl28_66
<=> ! [X0] :
( v4_lattices(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_66])]) ).
fof(f298,plain,
! [X0] :
( v4_lattices(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f758,plain,
spl28_65,
inference(avatar_split_clause,[],[f297,f756]) ).
fof(f756,plain,
( spl28_65
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_65])]) ).
fof(f297,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f754,plain,
spl28_64,
inference(avatar_split_clause,[],[f295,f752]) ).
fof(f295,plain,
! [X0] :
( v16_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v11_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f180]) ).
fof(f750,plain,
spl28_63,
inference(avatar_split_clause,[],[f294,f748]) ).
fof(f294,plain,
! [X0] :
( v15_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f746,plain,
spl28_62,
inference(avatar_split_clause,[],[f293,f744]) ).
fof(f293,plain,
! [X0] :
( v14_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f742,plain,
spl28_61,
inference(avatar_split_clause,[],[f292,f740]) ).
fof(f292,plain,
! [X0] :
( v13_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f738,plain,
spl28_60,
inference(avatar_split_clause,[],[f291,f736]) ).
fof(f291,plain,
! [X0] :
( v11_lattices(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f734,plain,
spl28_59,
inference(avatar_split_clause,[],[f290,f732]) ).
fof(f732,plain,
( spl28_59
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_59])]) ).
fof(f290,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f730,plain,
spl28_58,
inference(avatar_split_clause,[],[f280,f728]) ).
fof(f280,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_l3_lattices) ).
fof(f726,plain,
spl28_57,
inference(avatar_split_clause,[],[f279,f724]) ).
fof(f279,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f722,plain,
spl28_56,
inference(avatar_split_clause,[],[f278,f720]) ).
fof(f720,plain,
( spl28_56
<=> ! [X0] :
( v3_finsub_1(X0)
| ~ v4_finsub_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_56])]) ).
fof(f278,plain,
! [X0] :
( v3_finsub_1(X0)
| ~ v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( v3_finsub_1(X0)
& v1_finsub_1(X0) )
| ~ v4_finsub_1(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( v4_finsub_1(X0)
=> ( v3_finsub_1(X0)
& v1_finsub_1(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',cc1_finsub_1) ).
fof(f718,plain,
spl28_55,
inference(avatar_split_clause,[],[f277,f716]) ).
fof(f716,plain,
( spl28_55
<=> ! [X0] :
( v1_finsub_1(X0)
| ~ v4_finsub_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_55])]) ).
fof(f277,plain,
! [X0] :
( v1_finsub_1(X0)
| ~ v4_finsub_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f714,plain,
spl28_54,
inference(avatar_split_clause,[],[f276,f712]) ).
fof(f276,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_l1_lattices) ).
fof(f710,plain,
spl28_53,
inference(avatar_split_clause,[],[f275,f708]) ).
fof(f275,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',dt_l2_lattices) ).
fof(f706,plain,
spl28_52,
inference(avatar_split_clause,[],[f380,f704]) ).
fof(f380,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',reflexivity_r1_tarski) ).
fof(f702,plain,
spl28_51,
inference(avatar_split_clause,[],[f268,f700]) ).
fof(f700,plain,
( spl28_51
<=> ! [X0] : v4_finsub_1(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_51])]) ).
fof(f268,plain,
! [X0] : v4_finsub_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( v4_finsub_1(k1_zfmisc_1(X0))
& v3_finsub_1(k1_zfmisc_1(X0))
& v1_finsub_1(k1_zfmisc_1(X0))
& ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',fc1_finsub_1) ).
fof(f698,plain,
spl28_50,
inference(avatar_split_clause,[],[f267,f696]) ).
fof(f696,plain,
( spl28_50
<=> ! [X0] : v3_finsub_1(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_50])]) ).
fof(f267,plain,
! [X0] : v3_finsub_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f81]) ).
fof(f694,plain,
spl28_49,
inference(avatar_split_clause,[],[f266,f692]) ).
fof(f692,plain,
( spl28_49
<=> ! [X0] : v1_finsub_1(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_49])]) ).
fof(f266,plain,
! [X0] : v1_finsub_1(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f81]) ).
fof(f690,plain,
spl28_48,
inference(avatar_split_clause,[],[f265,f688]) ).
fof(f265,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f81]) ).
fof(f686,plain,
~ spl28_47,
inference(avatar_split_clause,[],[f257,f683]) ).
fof(f257,plain,
~ r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7)),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( r2_hidden(sK7,sK8)
& ~ r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7))
& v1_filter_0(sK8,sK6)
& m1_filter_0(sK8,sK6)
& m1_subset_1(sK7,u1_struct_0(sK6))
& l3_lattices(sK6)
& ~ v3_realset2(sK6)
& v17_lattices(sK6)
& v10_lattices(sK6)
& ~ v3_struct_0(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f91,f194,f193,f192]) ).
fof(f192,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),X1))
& v1_filter_0(X2,sK6)
& m1_filter_0(X2,sK6) )
& m1_subset_1(X1,u1_struct_0(sK6)) )
& l3_lattices(sK6)
& ~ v3_realset2(sK6)
& v17_lattices(sK6)
& v10_lattices(sK6)
& ~ v3_struct_0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),X1))
& v1_filter_0(X2,sK6)
& m1_filter_0(X2,sK6) )
& m1_subset_1(X1,u1_struct_0(sK6)) )
=> ( ? [X2] :
( r2_hidden(sK7,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7))
& v1_filter_0(X2,sK6)
& m1_filter_0(X2,sK6) )
& m1_subset_1(sK7,u1_struct_0(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
( ? [X2] :
( r2_hidden(sK7,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7))
& v1_filter_0(X2,sK6)
& m1_filter_0(X2,sK6) )
=> ( r2_hidden(sK7,sK8)
& ~ r2_hidden(sK8,k8_funct_2(u1_struct_0(sK6),k1_zfmisc_1(k7_lopclset(sK6)),k9_lopclset(sK6),sK7))
& v1_filter_0(sK8,sK6)
& m1_filter_0(sK8,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_realset2(X0)
& v17_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r2_hidden(X1,X2)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& v1_filter_0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',t27_lopclset) ).
fof(f681,plain,
~ spl28_46,
inference(avatar_split_clause,[],[f451,f678]) ).
fof(f678,plain,
( spl28_46
<=> v3_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_46])]) ).
fof(f451,plain,
~ v3_struct_0(sK27),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ~ v3_struct_0(sK27)
& l1_struct_0(sK27) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f55,f247]) ).
fof(f247,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK27)
& l1_struct_0(sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f55,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc3_struct_0) ).
fof(f676,plain,
spl28_45,
inference(avatar_split_clause,[],[f450,f673]) ).
fof(f673,plain,
( spl28_45
<=> l1_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_45])]) ).
fof(f450,plain,
l1_struct_0(sK27),
inference(cnf_transformation,[],[f248]) ).
fof(f671,plain,
~ spl28_44,
inference(avatar_split_clause,[],[f449,f668]) ).
fof(f449,plain,
~ v3_realset2(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ~ v3_realset2(sK26)
& v17_lattices(sK26)
& v16_lattices(sK26)
& v15_lattices(sK26)
& v14_lattices(sK26)
& v13_lattices(sK26)
& v12_lattices(sK26)
& v11_lattices(sK26)
& v10_lattices(sK26)
& v9_lattices(sK26)
& v8_lattices(sK26)
& v7_lattices(sK26)
& v6_lattices(sK26)
& v5_lattices(sK26)
& v4_lattices(sK26)
& ~ v3_struct_0(sK26)
& l3_lattices(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f25,f245]) ).
fof(f245,plain,
( ? [X0] :
( ~ v3_realset2(X0)
& v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v12_lattices(X0)
& v11_lattices(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) )
=> ( ~ v3_realset2(sK26)
& v17_lattices(sK26)
& v16_lattices(sK26)
& v15_lattices(sK26)
& v14_lattices(sK26)
& v13_lattices(sK26)
& v12_lattices(sK26)
& v11_lattices(sK26)
& v10_lattices(sK26)
& v9_lattices(sK26)
& v8_lattices(sK26)
& v7_lattices(sK26)
& v6_lattices(sK26)
& v5_lattices(sK26)
& v4_lattices(sK26)
& ~ v3_struct_0(sK26)
& l3_lattices(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
? [X0] :
( ~ v3_realset2(X0)
& v17_lattices(X0)
& v16_lattices(X0)
& v15_lattices(X0)
& v14_lattices(X0)
& v13_lattices(X0)
& v12_lattices(X0)
& v11_lattices(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) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc1_lopclset) ).
fof(f666,plain,
spl28_43,
inference(avatar_split_clause,[],[f448,f663]) ).
fof(f448,plain,
v17_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f661,plain,
spl28_42,
inference(avatar_split_clause,[],[f447,f658]) ).
fof(f658,plain,
( spl28_42
<=> v16_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_42])]) ).
fof(f447,plain,
v16_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f656,plain,
spl28_41,
inference(avatar_split_clause,[],[f446,f653]) ).
fof(f653,plain,
( spl28_41
<=> v15_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_41])]) ).
fof(f446,plain,
v15_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f651,plain,
spl28_40,
inference(avatar_split_clause,[],[f445,f648]) ).
fof(f648,plain,
( spl28_40
<=> v14_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_40])]) ).
fof(f445,plain,
v14_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f646,plain,
spl28_39,
inference(avatar_split_clause,[],[f444,f643]) ).
fof(f643,plain,
( spl28_39
<=> v13_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_39])]) ).
fof(f444,plain,
v13_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f641,plain,
spl28_38,
inference(avatar_split_clause,[],[f443,f638]) ).
fof(f638,plain,
( spl28_38
<=> v12_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_38])]) ).
fof(f443,plain,
v12_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f636,plain,
spl28_37,
inference(avatar_split_clause,[],[f442,f633]) ).
fof(f442,plain,
v11_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f631,plain,
spl28_36,
inference(avatar_split_clause,[],[f441,f628]) ).
fof(f441,plain,
v10_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f626,plain,
spl28_35,
inference(avatar_split_clause,[],[f440,f623]) ).
fof(f623,plain,
( spl28_35
<=> v9_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_35])]) ).
fof(f440,plain,
v9_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f621,plain,
spl28_34,
inference(avatar_split_clause,[],[f439,f618]) ).
fof(f618,plain,
( spl28_34
<=> v8_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_34])]) ).
fof(f439,plain,
v8_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f616,plain,
spl28_33,
inference(avatar_split_clause,[],[f438,f613]) ).
fof(f613,plain,
( spl28_33
<=> v7_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_33])]) ).
fof(f438,plain,
v7_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f611,plain,
spl28_32,
inference(avatar_split_clause,[],[f437,f608]) ).
fof(f608,plain,
( spl28_32
<=> v6_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_32])]) ).
fof(f437,plain,
v6_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f606,plain,
spl28_31,
inference(avatar_split_clause,[],[f436,f603]) ).
fof(f603,plain,
( spl28_31
<=> v5_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_31])]) ).
fof(f436,plain,
v5_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f601,plain,
spl28_30,
inference(avatar_split_clause,[],[f435,f598]) ).
fof(f598,plain,
( spl28_30
<=> v4_lattices(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_30])]) ).
fof(f435,plain,
v4_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f596,plain,
~ spl28_29,
inference(avatar_split_clause,[],[f434,f593]) ).
fof(f434,plain,
~ v3_struct_0(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f591,plain,
spl28_28,
inference(avatar_split_clause,[],[f433,f588]) ).
fof(f433,plain,
l3_lattices(sK26),
inference(cnf_transformation,[],[f246]) ).
fof(f586,plain,
spl28_27,
inference(avatar_split_clause,[],[f432,f583]) ).
fof(f432,plain,
v5_membered(sK25),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( v5_membered(sK25)
& v4_membered(sK25)
& v3_membered(sK25)
& v2_membered(sK25)
& v1_membered(sK25)
& ~ v1_xboole_0(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f26,f243]) ).
fof(f243,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) )
=> ( v5_membered(sK25)
& v4_membered(sK25)
& v3_membered(sK25)
& v2_membered(sK25)
& v1_membered(sK25)
& ~ v1_xboole_0(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f26,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc1_membered) ).
fof(f581,plain,
spl28_26,
inference(avatar_split_clause,[],[f431,f578]) ).
fof(f578,plain,
( spl28_26
<=> v4_membered(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_26])]) ).
fof(f431,plain,
v4_membered(sK25),
inference(cnf_transformation,[],[f244]) ).
fof(f576,plain,
spl28_25,
inference(avatar_split_clause,[],[f430,f573]) ).
fof(f573,plain,
( spl28_25
<=> v3_membered(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_25])]) ).
fof(f430,plain,
v3_membered(sK25),
inference(cnf_transformation,[],[f244]) ).
fof(f571,plain,
spl28_24,
inference(avatar_split_clause,[],[f429,f568]) ).
fof(f568,plain,
( spl28_24
<=> v2_membered(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_24])]) ).
fof(f429,plain,
v2_membered(sK25),
inference(cnf_transformation,[],[f244]) ).
fof(f566,plain,
spl28_23,
inference(avatar_split_clause,[],[f428,f563]) ).
fof(f563,plain,
( spl28_23
<=> v1_membered(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_23])]) ).
fof(f428,plain,
v1_membered(sK25),
inference(cnf_transformation,[],[f244]) ).
fof(f561,plain,
~ spl28_22,
inference(avatar_split_clause,[],[f427,f558]) ).
fof(f558,plain,
( spl28_22
<=> v1_xboole_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_22])]) ).
fof(f427,plain,
~ v1_xboole_0(sK25),
inference(cnf_transformation,[],[f244]) ).
fof(f556,plain,
spl28_21,
inference(avatar_split_clause,[],[f426,f553]) ).
fof(f553,plain,
( spl28_21
<=> v1_finset_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
fof(f426,plain,
v1_finset_1(sK24),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( v1_finset_1(sK24)
& ~ v1_xboole_0(sK24) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f24,f241]) ).
fof(f241,plain,
( ? [X0] :
( v1_finset_1(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_finset_1(sK24)
& ~ v1_xboole_0(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] :
( v1_finset_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',rc1_finset_1) ).
fof(f551,plain,
~ spl28_20,
inference(avatar_split_clause,[],[f425,f548]) ).
fof(f548,plain,
( spl28_20
<=> v1_xboole_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_20])]) ).
fof(f425,plain,
~ v1_xboole_0(sK24),
inference(cnf_transformation,[],[f242]) ).
fof(f546,plain,
spl28_19,
inference(avatar_split_clause,[],[f424,f543]) ).
fof(f543,plain,
( spl28_19
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
fof(f424,plain,
l1_struct_0(sK23),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
l1_struct_0(sK23),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f31,f239]) ).
fof(f239,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK23) ),
introduced(choice_axiom,[]) ).
fof(f31,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_l1_struct_0) ).
fof(f541,plain,
spl28_18,
inference(avatar_split_clause,[],[f423,f538]) ).
fof(f423,plain,
l3_lattices(sK22),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
l3_lattices(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f64,f237]) ).
fof(f237,plain,
( ? [X0] : l3_lattices(X0)
=> l3_lattices(sK22) ),
introduced(choice_axiom,[]) ).
fof(f64,axiom,
? [X0] : l3_lattices(X0),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_l3_lattices) ).
fof(f536,plain,
spl28_17,
inference(avatar_split_clause,[],[f422,f533]) ).
fof(f422,plain,
l2_lattices(sK21),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
l2_lattices(sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f32,f235]) ).
fof(f235,plain,
( ? [X0] : l2_lattices(X0)
=> l2_lattices(sK21) ),
introduced(choice_axiom,[]) ).
fof(f32,axiom,
? [X0] : l2_lattices(X0),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_l2_lattices) ).
fof(f531,plain,
spl28_16,
inference(avatar_split_clause,[],[f421,f528]) ).
fof(f421,plain,
l1_lattices(sK20),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
l1_lattices(sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f30,f233]) ).
fof(f233,plain,
( ? [X0] : l1_lattices(X0)
=> l1_lattices(sK20) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
? [X0] : l1_lattices(X0),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',existence_l1_lattices) ).
fof(f526,plain,
spl28_15,
inference(avatar_split_clause,[],[f264,f523]) ).
fof(f264,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/tmp/tmp.RJjBKe3fPB/Vampire---4.8_21747',fc6_membered) ).
fof(f521,plain,
spl28_14,
inference(avatar_split_clause,[],[f263,f518]) ).
fof(f518,plain,
( spl28_14
<=> v4_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f263,plain,
v4_membered(k1_xboole_0),
inference(cnf_transformation,[],[f23]) ).
fof(f516,plain,
spl28_13,
inference(avatar_split_clause,[],[f262,f513]) ).
fof(f513,plain,
( spl28_13
<=> v3_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
fof(f262,plain,
v3_membered(k1_xboole_0),
inference(cnf_transformation,[],[f23]) ).
fof(f511,plain,
spl28_12,
inference(avatar_split_clause,[],[f261,f508]) ).
fof(f508,plain,
( spl28_12
<=> v2_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f261,plain,
v2_membered(k1_xboole_0),
inference(cnf_transformation,[],[f23]) ).
fof(f506,plain,
spl28_11,
inference(avatar_split_clause,[],[f260,f503]) ).
fof(f503,plain,
( spl28_11
<=> v1_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_11])]) ).
fof(f260,plain,
v1_membered(k1_xboole_0),
inference(cnf_transformation,[],[f23]) ).
fof(f501,plain,
spl28_10,
inference(avatar_split_clause,[],[f259,f498]) ).
fof(f259,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f23]) ).
fof(f496,plain,
spl28_9,
inference(avatar_split_clause,[],[f254,f493]) ).
fof(f254,plain,
m1_subset_1(sK7,u1_struct_0(sK6)),
inference(cnf_transformation,[],[f195]) ).
fof(f491,plain,
spl28_8,
inference(avatar_split_clause,[],[f258,f488]) ).
fof(f258,plain,
r2_hidden(sK7,sK8),
inference(cnf_transformation,[],[f195]) ).
fof(f486,plain,
spl28_7,
inference(avatar_split_clause,[],[f256,f483]) ).
fof(f256,plain,
v1_filter_0(sK8,sK6),
inference(cnf_transformation,[],[f195]) ).
fof(f481,plain,
spl28_6,
inference(avatar_split_clause,[],[f255,f478]) ).
fof(f255,plain,
m1_filter_0(sK8,sK6),
inference(cnf_transformation,[],[f195]) ).
fof(f476,plain,
spl28_5,
inference(avatar_split_clause,[],[f253,f473]) ).
fof(f253,plain,
l3_lattices(sK6),
inference(cnf_transformation,[],[f195]) ).
fof(f471,plain,
~ spl28_4,
inference(avatar_split_clause,[],[f252,f468]) ).
fof(f252,plain,
~ v3_realset2(sK6),
inference(cnf_transformation,[],[f195]) ).
fof(f466,plain,
spl28_3,
inference(avatar_split_clause,[],[f251,f463]) ).
fof(f251,plain,
v17_lattices(sK6),
inference(cnf_transformation,[],[f195]) ).
fof(f461,plain,
spl28_2,
inference(avatar_split_clause,[],[f250,f458]) ).
fof(f250,plain,
v10_lattices(sK6),
inference(cnf_transformation,[],[f195]) ).
fof(f456,plain,
~ spl28_1,
inference(avatar_split_clause,[],[f249,f453]) ).
fof(f249,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.37 % Computer : n002.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Aug 30 14:44:06 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.19/0.44 % (21853)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.45 % (21859)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 Vampire---4 for (522ds/0Mi)
% 0.19/0.45 % (21858)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 Vampire---4 for (531ds/0Mi)
% 0.19/0.45 % (21854)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.19/0.45 % (21857)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.19/0.45 % (21855)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.19/0.45 % (21856)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 Vampire---4 for (569ds/0Mi)
% 0.19/0.45 % (21860)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 Vampire---4 for (497ds/0Mi)
% 0.19/0.45 TRYING [1]
% 0.19/0.45 TRYING [2]
% 0.19/0.45 TRYING [3]
% 0.19/0.47 TRYING [1]
% 0.19/0.47 TRYING [4]
% 0.19/0.47 TRYING [2]
% 0.19/0.50 TRYING [5]
% 0.19/0.51 TRYING [3]
% 0.19/0.60 TRYING [4]
% 0.19/0.61 TRYING [6]
% 2.84/0.84 TRYING [5]
% 2.84/0.85 TRYING [7]
% 2.84/0.88 TRYING [1]
% 2.84/0.88 TRYING [2]
% 2.84/0.88 TRYING [3]
% 2.84/0.89 TRYING [4]
% 3.44/0.94 TRYING [5]
% 3.97/1.07 TRYING [6]
% 4.70/1.08 % (21858)First to succeed.
% 4.94/1.12 % (21858)Refutation found. Thanks to Tanya!
% 4.94/1.12 % SZS status Theorem for Vampire---4
% 4.94/1.12 % SZS output start Proof for Vampire---4
% See solution above
% 4.94/1.15 % (21858)------------------------------
% 4.94/1.15 % (21858)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.94/1.15 % (21858)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.94/1.15 % (21858)Termination reason: Refutation
% 4.94/1.15
% 4.94/1.15 % (21858)Memory used [KB]: 20340
% 4.94/1.15 % (21858)Time elapsed: 0.675 s
% 4.94/1.15 % (21858)------------------------------
% 4.94/1.15 % (21858)------------------------------
% 4.94/1.15 % (21853)Success in time 0.746 s
% 4.94/1.15 % Vampire---4.8 exiting
%------------------------------------------------------------------------------