TSTP Solution File: LAT347+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:30:32 EDT 2024
% Result : Theorem 3.72s 0.88s
% Output : Refutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1145
% Syntax : Number of formulae : 3719 ( 330 unt; 0 def)
% Number of atoms : 15071 (1101 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 19813 (8461 ~;9384 |; 824 &)
% (1024 <=>; 119 =>; 0 <=; 1 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 1050 (1048 usr;1012 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 15 con; 0-3 aty)
% Number of variables : 3068 (2980 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10627,plain,
$false,
inference(avatar_sat_refutation,[],[f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f675,f680,f685,f690,f695,f700,f705,f710,f715,f720,f725,f730,f735,f740,f745,f750,f755,f760,f765,f770,f775,f780,f785,f790,f795,f800,f805,f810,f815,f820,f825,f830,f835,f840,f845,f850,f855,f860,f865,f870,f875,f880,f885,f890,f895,f900,f905,f910,f915,f920,f925,f929,f933,f937,f941,f945,f949,f953,f957,f961,f965,f969,f973,f977,f981,f985,f989,f993,f997,f1001,f1005,f1009,f1013,f1017,f1033,f1037,f1041,f1045,f1049,f1053,f1057,f1061,f1065,f1070,f1074,f1078,f1082,f1086,f1090,f1094,f1098,f1102,f1107,f1118,f1122,f1126,f1130,f1134,f1138,f1142,f1147,f1151,f1155,f1159,f1163,f1167,f1171,f1175,f1179,f1183,f1187,f1192,f1196,f1200,f1204,f1208,f1212,f1216,f1220,f1224,f1228,f1236,f1248,f1252,f1256,f1260,f1264,f1268,f1272,f1276,f1280,f1284,f1288,f1292,f1296,f1300,f1304,f1308,f1312,f1316,f1320,f1324,f1340,f1344,f1348,f1352,f1356,f1360,f1364,f1368,f1372,f1376,f1380,f1384,f1388,f1392,f1396,f1400,f1404,f1408,f1412,f1416,f1420,f1424,f1428,f1432,f1436,f1458,f1492,f1505,f1511,f1515,f1519,f1534,f1538,f1546,f1550,f1554,f1558,f1562,f1566,f1570,f1574,f1578,f1582,f1586,f1590,f1594,f1598,f1602,f1606,f1610,f1614,f1618,f1622,f1626,f1632,f1636,f1640,f1644,f1670,f1679,f1715,f1719,f1723,f1727,f1731,f1735,f1739,f1743,f1761,f1765,f1769,f1773,f1777,f1781,f1787,f1791,f1795,f1799,f1805,f1843,f1847,f1851,f1855,f1864,f1868,f1872,f1876,f1880,f1884,f1921,f1925,f1937,f1941,f1942,f1974,f1984,f2003,f2023,f2028,f2034,f2040,f2052,f2058,f2065,f2074,f2079,f2087,f2092,f2107,f2115,f2120,f2125,f2134,f2141,f2146,f2150,f2155,f2160,f2165,f2169,f2176,f2181,f2182,f2183,f2184,f2197,f2198,f2248,f2255,f2262,f2271,f2276,f2281,f2286,f2291,f2296,f2305,f2310,f2314,f2318,f2322,f2326,f2330,f2334,f2338,f2356,f2372,f2376,f2380,f2391,f2396,f2401,f2406,f2411,f2419,f2424,f2432,f2439,f2447,f2451,f2455,f2459,f2463,f2467,f2471,f2475,f2479,f2483,f2488,f2511,f2534,f2539,f2591,f2595,f2599,f2603,f2607,f2611,f2615,f2619,f2624,f2628,f2632,f2636,f2698,f2702,f2706,f2710,f2714,f2718,f2723,f2727,f2731,f2735,f2752,f2757,f2769,f2775,f2781,f2787,f2802,f2817,f2822,f2837,f2851,f2893,f2897,f2901,f2905,f2909,f2914,f2918,f2922,f2926,f2931,f2941,f2947,f2953,f2959,f2965,f2971,f2977,f2983,f2989,f2994,f2999,f3004,f3009,f3018,f3027,f3035,f3068,f3077,f3081,f3085,f3089,f3093,f3097,f3102,f3107,f3112,f3117,f3122,f3127,f3220,f3224,f3228,f3232,f3236,f3240,f3244,f3248,f3252,f3256,f3290,f3303,f3307,f3311,f3315,f3319,f3323,f3327,f3356,f3360,f3364,f3368,f3372,f3376,f3381,f3400,f3405,f3438,f3442,f3446,f3450,f3454,f3458,f3467,f3471,f3485,f3489,f3493,f3497,f3501,f3505,f3523,f3527,f3531,f3535,f3539,f3543,f3553,f3557,f3561,f3578,f3582,f3586,f3590,f3595,f3599,f3603,f3607,f3611,f3615,f3619,f3623,f3627,f3631,f3650,f3656,f3660,f3664,f3668,f3672,f3676,f3686,f3690,f3703,f3707,f3712,f3727,f3731,f3735,f3739,f3743,f3777,f3792,f3802,f3806,f3810,f3824,f3853,f3857,f3861,f3895,f3899,f3903,f3907,f3943,f3953,f3957,f3989,f4004,f4008,f4009,f4014,f4019,f4020,f4021,f4036,f4040,f4044,f4071,f4080,f4095,f4106,f4111,f4116,f4120,f4124,f4128,f4132,f4137,f4142,f4147,f4155,f4160,f4166,f4177,f4183,f4188,f4193,f4201,f4206,f4211,f4220,f4225,f4231,f4242,f4248,f4249,f4272,f4280,f4285,f4290,f4298,f4303,f4308,f4314,f4325,f4331,f4336,f4341,f4349,f4354,f4359,f4367,f4385,f4391,f4402,f4408,f4413,f4432,f4447,f4451,f4455,f4460,f4464,f4468,f4472,f4476,f4570,f4574,f4578,f4582,f4586,f4646,f4657,f4661,f4666,f4670,f4674,f4678,f4682,f4686,f4690,f4694,f4698,f4702,f4706,f4710,f4714,f4718,f4722,f4726,f4730,f4734,f4738,f4754,f4789,f4870,f4871,f4875,f4879,f4883,f4887,f4891,f4895,f4899,f4903,f4907,f4908,f4916,f4941,f4948,f5004,f5009,f5014,f5024,f5034,f5043,f5047,f5051,f5055,f5059,f5063,f5083,f5087,f5091,f5096,f5100,f5105,f5114,f5118,f5122,f5126,f5130,f5134,f5138,f5143,f5147,f5151,f5155,f5159,f5163,f5167,f5171,f5175,f5179,f5183,f5195,f5199,f5203,f5207,f5211,f5215,f5219,f5327,f5363,f5367,f5371,f5375,f5379,f5383,f5388,f5392,f5396,f5400,f5404,f5408,f5412,f5416,f5420,f5424,f5428,f5436,f5440,f5444,f5448,f5452,f5456,f5460,f5464,f5529,f5695,f5699,f5703,f5707,f5711,f5715,f5719,f5723,f5727,f5735,f5739,f5743,f5747,f5751,f5755,f5759,f5764,f5769,f5778,f5783,f5788,f5792,f5796,f5800,f5804,f5808,f5812,f5816,f5820,f5824,f5828,f5832,f5836,f6043,f6124,f6142,f6151,f6160,f6165,f6169,f6173,f6177,f6200,f6224,f6240,f6244,f6248,f6252,f6256,f6260,f6261,f6285,f6301,f6305,f6309,f6313,f6317,f6321,f6322,f6346,f6362,f6366,f6370,f6374,f6378,f6382,f6391,f6395,f6550,f6554,f6558,f6562,f6566,f6570,f6574,f6578,f6582,f6586,f6595,f6599,f6603,f6607,f6611,f6615,f6619,f6623,f6627,f6632,f6637,f6643,f6648,f6653,f6828,f6940,f6944,f6948,f6952,f6965,f6969,f6973,f6977,f6981,f6985,f6989,f6993,f6997,f7001,f7005,f7009,f7013,f7017,f7021,f7025,f7029,f7033,f7038,f7074,f7079,f7115,f7120,f7156,f7161,f7197,f7202,f7238,f7242,f7246,f7250,f7254,f7258,f7262,f7266,f7317,f7775,f7786,f7795,f7799,f7803,f7807,f7811,f7815,f7819,f7823,f7827,f7831,f7835,f7839,f7843,f7847,f7851,f7855,f7859,f7863,f7867,f7871,f7875,f7879,f8106,f8326,f8330,f8334,f8338,f8346,f8352,f8357,f8365,f8371,f8379,f8385,f8393,f8399,f8407,f8413,f8417,f8421,f8425,f8429,f8438,f8454,f8458,f8462,f8466,f8470,f8474,f8478,f8482,f8486,f8491,f8528,f8532,f8648,f8756,f8760,f8764,f8814,f8818,f8822,f8988,f8993,f8997,f9001,f9005,f9009,f9013,f9017,f9021,f9025,f9029,f9417,f9422,f9426,f9430,f9434,f9438,f9442,f9446,f9450,f9537,f9542,f9567,f9571,f9575,f9579,f9585,f9589,f9619,f9624,f9629,f9634,f9643,f9717,f9791,f9865,f9939,f9943,f9948,f9982,f9986,f9992,f10027,f10060,f10064,f10068,f10072,f10076,f10104,f10112,f10145,f10181,f10182,f10220,f10223,f10250,f10255,f10289,f10309,f10313,f10334,f10335,f10355,f10360,f10363,f10381,f10386,f10389,f10410,f10419,f10429,f10439,f10444,f10449,f10455,f10463,f10468,f10477,f10486,f10495,f10504,f10513,f10518,f10523,f10528,f10533,f10538,f10543,f10570,f10574,f10598,f10604,f10609,f10625,f10626]) ).
fof(f10626,plain,
( spl38_418
| ~ spl38_264
| spl38_7
| ~ spl38_395
| ~ spl38_618 ),
inference(avatar_split_clause,[],[f4950,f4946,f3065,f627,f2071,f3287]) ).
fof(f3287,plain,
( spl38_418
<=> k3_tarski(sK10) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_418])]) ).
fof(f2071,plain,
( spl38_264
<=> v1_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_264])]) ).
fof(f627,plain,
( spl38_7
<=> v1_xboole_0(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_7])]) ).
fof(f3065,plain,
( spl38_395
<=> m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_395])]) ).
fof(f4946,plain,
( spl38_618
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK9)))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_618])]) ).
fof(f4950,plain,
( v1_xboole_0(sK10)
| ~ v1_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9)))
| k3_tarski(sK10) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),sK10)
| ~ spl38_395
| ~ spl38_618 ),
inference(resolution,[],[f4947,f3067]) ).
fof(f3067,plain,
( m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| ~ spl38_395 ),
inference(avatar_component_clause,[],[f3065]) ).
fof(f4947,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK9)))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),X0) )
| ~ spl38_618 ),
inference(avatar_component_clause,[],[f4946]) ).
fof(f10625,plain,
( spl38_1011
| ~ spl38_518
| ~ spl38_889 ),
inference(avatar_split_clause,[],[f8732,f8526,f4104,f10623]) ).
fof(f10623,plain,
( spl38_1011
<=> ! [X0] :
( k7_lattice3(sK9) != k7_lattice3(k7_lattice3(k2_yellow_1(X0)))
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(k2_yellow_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1011])]) ).
fof(f4104,plain,
( spl38_518
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| u1_struct_0(sK9) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_518])]) ).
fof(f8526,plain,
( spl38_889
<=> ! [X0] : k7_lattice3(k7_lattice3(k2_yellow_1(X0))) = g1_orders_2(u1_struct_0(k7_lattice3(k2_yellow_1(X0))),k6_relset_1(u1_struct_0(k7_lattice3(k2_yellow_1(X0))),u1_struct_0(k7_lattice3(k2_yellow_1(X0))),u1_orders_2(k7_lattice3(k2_yellow_1(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_889])]) ).
fof(f8732,plain,
( ! [X0] :
( k7_lattice3(sK9) != k7_lattice3(k7_lattice3(k2_yellow_1(X0)))
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(k2_yellow_1(X0))) )
| ~ spl38_518
| ~ spl38_889 ),
inference(superposition,[],[f4105,f8527]) ).
fof(f8527,plain,
( ! [X0] : k7_lattice3(k7_lattice3(k2_yellow_1(X0))) = g1_orders_2(u1_struct_0(k7_lattice3(k2_yellow_1(X0))),k6_relset_1(u1_struct_0(k7_lattice3(k2_yellow_1(X0))),u1_struct_0(k7_lattice3(k2_yellow_1(X0))),u1_orders_2(k7_lattice3(k2_yellow_1(X0)))))
| ~ spl38_889 ),
inference(avatar_component_clause,[],[f8526]) ).
fof(f4105,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| u1_struct_0(sK9) = X0 )
| ~ spl38_518 ),
inference(avatar_component_clause,[],[f4104]) ).
fof(f10609,plain,
( spl38_1010
| ~ spl38_73
| ~ spl38_1007 ),
inference(avatar_split_clause,[],[f10582,f10567,f951,f10606]) ).
fof(f10606,plain,
( spl38_1010
<=> l1_struct_0(k7_lattice3(k7_lattice3(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1010])]) ).
fof(f951,plain,
( spl38_73
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_73])]) ).
fof(f10567,plain,
( spl38_1007
<=> l1_orders_2(k7_lattice3(k7_lattice3(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1007])]) ).
fof(f10582,plain,
( l1_struct_0(k7_lattice3(k7_lattice3(sK9)))
| ~ spl38_73
| ~ spl38_1007 ),
inference(resolution,[],[f10569,f952]) ).
fof(f952,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) )
| ~ spl38_73 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f10569,plain,
( l1_orders_2(k7_lattice3(k7_lattice3(sK9)))
| ~ spl38_1007 ),
inference(avatar_component_clause,[],[f10567]) ).
fof(f10604,plain,
( ~ spl38_2
| ~ spl38_6
| spl38_621
| spl38_1009
| ~ spl38_580
| ~ spl38_754 ),
inference(avatar_split_clause,[],[f6541,f6376,f4624,f10601,f5011,f622,f602]) ).
fof(f602,plain,
( spl38_2
<=> v3_orders_2(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_2])]) ).
fof(f622,plain,
( spl38_6
<=> l1_orders_2(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_6])]) ).
fof(f5011,plain,
( spl38_621
<=> v3_struct_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_621])]) ).
fof(f10601,plain,
( spl38_1009
<=> k9_waybel_0(k7_lattice3(sK9)) = a_1_1_waybel_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1009])]) ).
fof(f4624,plain,
( spl38_580
<=> v2_orders_2(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_580])]) ).
fof(f6376,plain,
( spl38_754
<=> ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = a_1_1_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_754])]) ).
fof(f6541,plain,
( k9_waybel_0(k7_lattice3(sK9)) = a_1_1_waybel_0(k7_lattice3(sK9))
| v3_struct_0(k7_lattice3(sK9))
| ~ l1_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ spl38_580
| ~ spl38_754 ),
inference(resolution,[],[f6377,f4625]) ).
fof(f4625,plain,
( v2_orders_2(k7_lattice3(sK9))
| ~ spl38_580 ),
inference(avatar_component_clause,[],[f4624]) ).
fof(f6377,plain,
( ! [X0] :
( ~ v2_orders_2(k7_lattice3(X0))
| k9_waybel_0(k7_lattice3(X0)) = a_1_1_waybel_0(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_754 ),
inference(avatar_component_clause,[],[f6376]) ).
fof(f10598,plain,
( ~ spl38_1006
| spl38_1008
| ~ spl38_514
| ~ spl38_617 ),
inference(avatar_split_clause,[],[f4993,f4914,f4068,f10595,f10563]) ).
fof(f10563,plain,
( spl38_1006
<=> m1_relset_1(u1_orders_2(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1006])]) ).
fof(f10595,plain,
( spl38_1008
<=> v1_orders_2(k7_lattice3(k7_lattice3(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1008])]) ).
fof(f4068,plain,
( spl38_514
<=> k7_lattice3(k7_lattice3(sK9)) = g1_orders_2(u1_struct_0(k7_lattice3(sK9)),k6_relset_1(u1_struct_0(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)),u1_orders_2(k7_lattice3(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_514])]) ).
fof(f4914,plain,
( spl38_617
<=> ! [X0,X1] :
( ~ m1_relset_1(X0,X1,X1)
| v1_orders_2(g1_orders_2(X1,k6_relset_1(X1,X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_617])]) ).
fof(f4993,plain,
( v1_orders_2(k7_lattice3(k7_lattice3(sK9)))
| ~ m1_relset_1(u1_orders_2(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)))
| ~ spl38_514
| ~ spl38_617 ),
inference(superposition,[],[f4915,f4070]) ).
fof(f4070,plain,
( k7_lattice3(k7_lattice3(sK9)) = g1_orders_2(u1_struct_0(k7_lattice3(sK9)),k6_relset_1(u1_struct_0(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)),u1_orders_2(k7_lattice3(sK9))))
| ~ spl38_514 ),
inference(avatar_component_clause,[],[f4068]) ).
fof(f4915,plain,
( ! [X0,X1] :
( v1_orders_2(g1_orders_2(X1,k6_relset_1(X1,X1,X0)))
| ~ m1_relset_1(X0,X1,X1) )
| ~ spl38_617 ),
inference(avatar_component_clause,[],[f4914]) ).
fof(f10574,plain,
( ~ spl38_1004
| ~ spl38_899
| ~ spl38_910
| spl38_1006 ),
inference(avatar_split_clause,[],[f10572,f10563,f9419,f8990,f10535]) ).
fof(f10535,plain,
( spl38_1004
<=> m1_relset_1(k4_relat_1(u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1004])]) ).
fof(f8990,plain,
( spl38_899
<=> u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_899])]) ).
fof(f9419,plain,
( spl38_910
<=> u1_orders_2(k7_lattice3(sK9)) = k4_relat_1(u1_orders_2(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_910])]) ).
fof(f10572,plain,
( ~ m1_relset_1(k4_relat_1(u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_899
| ~ spl38_910
| spl38_1006 ),
inference(forward_demodulation,[],[f10571,f9421]) ).
fof(f9421,plain,
( u1_orders_2(k7_lattice3(sK9)) = k4_relat_1(u1_orders_2(sK9))
| ~ spl38_910 ),
inference(avatar_component_clause,[],[f9419]) ).
fof(f10571,plain,
( ~ m1_relset_1(u1_orders_2(k7_lattice3(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_899
| spl38_1006 ),
inference(forward_demodulation,[],[f10565,f8992]) ).
fof(f8992,plain,
( u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK9))
| ~ spl38_899 ),
inference(avatar_component_clause,[],[f8990]) ).
fof(f10565,plain,
( ~ m1_relset_1(u1_orders_2(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)))
| spl38_1006 ),
inference(avatar_component_clause,[],[f10563]) ).
fof(f10570,plain,
( ~ spl38_1006
| spl38_1007
| ~ spl38_514
| ~ spl38_616 ),
inference(avatar_split_clause,[],[f4981,f4905,f4068,f10567,f10563]) ).
fof(f4905,plain,
( spl38_616
<=> ! [X0,X1] :
( ~ m1_relset_1(X0,X1,X1)
| l1_orders_2(g1_orders_2(X1,k6_relset_1(X1,X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_616])]) ).
fof(f4981,plain,
( l1_orders_2(k7_lattice3(k7_lattice3(sK9)))
| ~ m1_relset_1(u1_orders_2(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)))
| ~ spl38_514
| ~ spl38_616 ),
inference(superposition,[],[f4906,f4070]) ).
fof(f4906,plain,
( ! [X0,X1] :
( l1_orders_2(g1_orders_2(X1,k6_relset_1(X1,X1,X0)))
| ~ m1_relset_1(X0,X1,X1) )
| ~ spl38_616 ),
inference(avatar_component_clause,[],[f4905]) ).
fof(f10543,plain,
( ~ spl38_2
| ~ spl38_6
| spl38_621
| spl38_1005
| ~ spl38_258
| ~ spl38_580
| ~ spl38_753 ),
inference(avatar_split_clause,[],[f6539,f6372,f4624,f2031,f10540,f5011,f622,f602]) ).
fof(f10540,plain,
( spl38_1005
<=> a_1_1_waybel_0(sK9) = a_1_0_waybel_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1005])]) ).
fof(f2031,plain,
( spl38_258
<=> a_1_1_waybel_0(sK9) = k8_waybel_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_258])]) ).
fof(f6372,plain,
( spl38_753
<=> ! [X0] :
( k8_waybel_0(k7_lattice3(X0)) = a_1_0_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_753])]) ).
fof(f6539,plain,
( a_1_1_waybel_0(sK9) = a_1_0_waybel_0(k7_lattice3(sK9))
| v3_struct_0(k7_lattice3(sK9))
| ~ l1_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ spl38_258
| ~ spl38_580
| ~ spl38_753 ),
inference(forward_demodulation,[],[f6537,f2033]) ).
fof(f2033,plain,
( a_1_1_waybel_0(sK9) = k8_waybel_0(k7_lattice3(sK9))
| ~ spl38_258 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f6537,plain,
( k8_waybel_0(k7_lattice3(sK9)) = a_1_0_waybel_0(k7_lattice3(sK9))
| v3_struct_0(k7_lattice3(sK9))
| ~ l1_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ spl38_580
| ~ spl38_753 ),
inference(resolution,[],[f6373,f4625]) ).
fof(f6373,plain,
( ! [X0] :
( ~ v2_orders_2(k7_lattice3(X0))
| k8_waybel_0(k7_lattice3(X0)) = a_1_0_waybel_0(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_753 ),
inference(avatar_component_clause,[],[f6372]) ).
fof(f10538,plain,
( spl38_1004
| ~ spl38_181
| ~ spl38_987 ),
inference(avatar_split_clause,[],[f10459,f10452,f1430,f10535]) ).
fof(f1430,plain,
( spl38_181
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_181])]) ).
fof(f10452,plain,
( spl38_987
<=> m2_relset_1(k4_relat_1(u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_987])]) ).
fof(f10459,plain,
( m1_relset_1(k4_relat_1(u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_181
| ~ spl38_987 ),
inference(resolution,[],[f10454,f1431]) ).
fof(f1431,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl38_181 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f10454,plain,
( m2_relset_1(k4_relat_1(u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_987 ),
inference(avatar_component_clause,[],[f10452]) ).
fof(f10533,plain,
( spl38_1003
| ~ spl38_73
| ~ spl38_972 ),
inference(avatar_split_clause,[],[f10395,f10214,f951,f10530]) ).
fof(f10530,plain,
( spl38_1003
<=> l1_struct_0(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1003])]) ).
fof(f10214,plain,
( spl38_972
<=> l1_orders_2(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_972])]) ).
fof(f10395,plain,
( l1_struct_0(k7_lattice3(sK37))
| ~ spl38_73
| ~ spl38_972 ),
inference(resolution,[],[f10215,f952]) ).
fof(f10215,plain,
( l1_orders_2(k7_lattice3(sK37))
| ~ spl38_972 ),
inference(avatar_component_clause,[],[f10214]) ).
fof(f10528,plain,
( spl38_1002
| ~ spl38_73
| ~ spl38_965 ),
inference(avatar_split_clause,[],[f10369,f10175,f951,f10525]) ).
fof(f10525,plain,
( spl38_1002
<=> l1_struct_0(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1002])]) ).
fof(f10175,plain,
( spl38_965
<=> l1_orders_2(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_965])]) ).
fof(f10369,plain,
( l1_struct_0(k7_lattice3(sK36))
| ~ spl38_73
| ~ spl38_965 ),
inference(resolution,[],[f10176,f952]) ).
fof(f10176,plain,
( l1_orders_2(k7_lattice3(sK36))
| ~ spl38_965 ),
inference(avatar_component_clause,[],[f10175]) ).
fof(f10523,plain,
( spl38_1001
| ~ spl38_73
| ~ spl38_958 ),
inference(avatar_split_clause,[],[f10343,f10139,f951,f10520]) ).
fof(f10520,plain,
( spl38_1001
<=> l1_struct_0(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1001])]) ).
fof(f10139,plain,
( spl38_958
<=> l1_orders_2(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_958])]) ).
fof(f10343,plain,
( l1_struct_0(k7_lattice3(sK35))
| ~ spl38_73
| ~ spl38_958 ),
inference(resolution,[],[f10140,f952]) ).
fof(f10140,plain,
( l1_orders_2(k7_lattice3(sK35))
| ~ spl38_958 ),
inference(avatar_component_clause,[],[f10139]) ).
fof(f10518,plain,
( spl38_1000
| ~ spl38_73
| ~ spl38_951 ),
inference(avatar_split_clause,[],[f10229,f10098,f951,f10515]) ).
fof(f10515,plain,
( spl38_1000
<=> l1_struct_0(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1000])]) ).
fof(f10098,plain,
( spl38_951
<=> l1_orders_2(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_951])]) ).
fof(f10229,plain,
( l1_struct_0(k7_lattice3(sK34))
| ~ spl38_73
| ~ spl38_951 ),
inference(resolution,[],[f10099,f952]) ).
fof(f10099,plain,
( l1_orders_2(k7_lattice3(sK34))
| ~ spl38_951 ),
inference(avatar_component_clause,[],[f10098]) ).
fof(f10513,plain,
( spl38_998
| ~ spl38_999
| ~ spl38_518
| ~ spl38_783 ),
inference(avatar_split_clause,[],[f6922,f6650,f4104,f10510,f10506]) ).
fof(f10506,plain,
( spl38_998
<=> u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_998])]) ).
fof(f10510,plain,
( spl38_999
<=> k7_lattice3(sK9) = k7_lattice3(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_999])]) ).
fof(f6650,plain,
( spl38_783
<=> k7_lattice3(k7_lattice3(sK37)) = g1_orders_2(u1_struct_0(k7_lattice3(sK37)),k6_relset_1(u1_struct_0(k7_lattice3(sK37)),u1_struct_0(k7_lattice3(sK37)),u1_orders_2(k7_lattice3(sK37)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_783])]) ).
fof(f6922,plain,
( k7_lattice3(sK9) != k7_lattice3(k7_lattice3(sK37))
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK37))
| ~ spl38_518
| ~ spl38_783 ),
inference(superposition,[],[f4105,f6652]) ).
fof(f6652,plain,
( k7_lattice3(k7_lattice3(sK37)) = g1_orders_2(u1_struct_0(k7_lattice3(sK37)),k6_relset_1(u1_struct_0(k7_lattice3(sK37)),u1_struct_0(k7_lattice3(sK37)),u1_orders_2(k7_lattice3(sK37))))
| ~ spl38_783 ),
inference(avatar_component_clause,[],[f6650]) ).
fof(f10504,plain,
( spl38_996
| ~ spl38_997
| ~ spl38_518
| ~ spl38_782 ),
inference(avatar_split_clause,[],[f6901,f6645,f4104,f10501,f10497]) ).
fof(f10497,plain,
( spl38_996
<=> u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_996])]) ).
fof(f10501,plain,
( spl38_997
<=> k7_lattice3(sK9) = k7_lattice3(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_997])]) ).
fof(f6645,plain,
( spl38_782
<=> k7_lattice3(k7_lattice3(sK36)) = g1_orders_2(u1_struct_0(k7_lattice3(sK36)),k6_relset_1(u1_struct_0(k7_lattice3(sK36)),u1_struct_0(k7_lattice3(sK36)),u1_orders_2(k7_lattice3(sK36)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_782])]) ).
fof(f6901,plain,
( k7_lattice3(sK9) != k7_lattice3(k7_lattice3(sK36))
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK36))
| ~ spl38_518
| ~ spl38_782 ),
inference(superposition,[],[f4105,f6647]) ).
fof(f6647,plain,
( k7_lattice3(k7_lattice3(sK36)) = g1_orders_2(u1_struct_0(k7_lattice3(sK36)),k6_relset_1(u1_struct_0(k7_lattice3(sK36)),u1_struct_0(k7_lattice3(sK36)),u1_orders_2(k7_lattice3(sK36))))
| ~ spl38_782 ),
inference(avatar_component_clause,[],[f6645]) ).
fof(f10495,plain,
( spl38_994
| ~ spl38_995
| ~ spl38_518
| ~ spl38_781 ),
inference(avatar_split_clause,[],[f6880,f6640,f4104,f10492,f10488]) ).
fof(f10488,plain,
( spl38_994
<=> u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_994])]) ).
fof(f10492,plain,
( spl38_995
<=> k7_lattice3(sK9) = k7_lattice3(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_995])]) ).
fof(f6640,plain,
( spl38_781
<=> k7_lattice3(k7_lattice3(sK35)) = g1_orders_2(u1_struct_0(k7_lattice3(sK35)),k6_relset_1(u1_struct_0(k7_lattice3(sK35)),u1_struct_0(k7_lattice3(sK35)),u1_orders_2(k7_lattice3(sK35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_781])]) ).
fof(f6880,plain,
( k7_lattice3(sK9) != k7_lattice3(k7_lattice3(sK35))
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK35))
| ~ spl38_518
| ~ spl38_781 ),
inference(superposition,[],[f4105,f6642]) ).
fof(f6642,plain,
( k7_lattice3(k7_lattice3(sK35)) = g1_orders_2(u1_struct_0(k7_lattice3(sK35)),k6_relset_1(u1_struct_0(k7_lattice3(sK35)),u1_struct_0(k7_lattice3(sK35)),u1_orders_2(k7_lattice3(sK35))))
| ~ spl38_781 ),
inference(avatar_component_clause,[],[f6640]) ).
fof(f10486,plain,
( spl38_992
| ~ spl38_993
| ~ spl38_518
| ~ spl38_780 ),
inference(avatar_split_clause,[],[f6859,f6634,f4104,f10483,f10479]) ).
fof(f10479,plain,
( spl38_992
<=> u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_992])]) ).
fof(f10483,plain,
( spl38_993
<=> k7_lattice3(sK9) = k7_lattice3(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_993])]) ).
fof(f6634,plain,
( spl38_780
<=> k7_lattice3(k7_lattice3(sK34)) = g1_orders_2(u1_struct_0(k7_lattice3(sK34)),k6_relset_1(u1_struct_0(k7_lattice3(sK34)),u1_struct_0(k7_lattice3(sK34)),u1_orders_2(k7_lattice3(sK34)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_780])]) ).
fof(f6859,plain,
( k7_lattice3(sK9) != k7_lattice3(k7_lattice3(sK34))
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK34))
| ~ spl38_518
| ~ spl38_780 ),
inference(superposition,[],[f4105,f6636]) ).
fof(f6636,plain,
( k7_lattice3(k7_lattice3(sK34)) = g1_orders_2(u1_struct_0(k7_lattice3(sK34)),k6_relset_1(u1_struct_0(k7_lattice3(sK34)),u1_struct_0(k7_lattice3(sK34)),u1_orders_2(k7_lattice3(sK34))))
| ~ spl38_780 ),
inference(avatar_component_clause,[],[f6634]) ).
fof(f10477,plain,
( spl38_990
| ~ spl38_991
| ~ spl38_518
| ~ spl38_779 ),
inference(avatar_split_clause,[],[f6838,f6629,f4104,f10474,f10470]) ).
fof(f10470,plain,
( spl38_990
<=> u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_990])]) ).
fof(f10474,plain,
( spl38_991
<=> k7_lattice3(sK9) = k7_lattice3(k7_lattice3(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_991])]) ).
fof(f6629,plain,
( spl38_779
<=> k7_lattice3(k7_lattice3(sK29)) = g1_orders_2(u1_struct_0(k7_lattice3(sK29)),k6_relset_1(u1_struct_0(k7_lattice3(sK29)),u1_struct_0(k7_lattice3(sK29)),u1_orders_2(k7_lattice3(sK29)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_779])]) ).
fof(f6838,plain,
( k7_lattice3(sK9) != k7_lattice3(k7_lattice3(sK29))
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK29))
| ~ spl38_518
| ~ spl38_779 ),
inference(superposition,[],[f4105,f6631]) ).
fof(f6631,plain,
( k7_lattice3(k7_lattice3(sK29)) = g1_orders_2(u1_struct_0(k7_lattice3(sK29)),k6_relset_1(u1_struct_0(k7_lattice3(sK29)),u1_struct_0(k7_lattice3(sK29)),u1_orders_2(k7_lattice3(sK29))))
| ~ spl38_779 ),
inference(avatar_component_clause,[],[f6629]) ).
fof(f10468,plain,
( ~ spl38_547
| ~ spl38_580
| spl38_770
| ~ spl38_989
| ~ spl38_194
| ~ spl38_583 ),
inference(avatar_split_clause,[],[f4911,f4636,f1552,f10465,f6592,f4624,f4295]) ).
fof(f4295,plain,
( spl38_547
<=> l1_orders_2(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_547])]) ).
fof(f6592,plain,
( spl38_770
<=> v2_yellow_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_770])]) ).
fof(f10465,plain,
( spl38_989
<=> v24_waybel_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_989])]) ).
fof(f1552,plain,
( spl38_194
<=> ! [X0] :
( v2_yellow_0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_194])]) ).
fof(f4636,plain,
( spl38_583
<=> v1_lattice3(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_583])]) ).
fof(f4911,plain,
( ~ v24_waybel_0(k7_lattice3(sK9))
| v2_yellow_0(k7_lattice3(sK9))
| ~ v2_orders_2(k7_lattice3(sK9))
| ~ l1_orders_2(k7_lattice3(sK9))
| ~ spl38_194
| ~ spl38_583 ),
inference(resolution,[],[f4637,f1553]) ).
fof(f1553,plain,
( ! [X0] :
( ~ v1_lattice3(X0)
| ~ v24_waybel_0(X0)
| v2_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_194 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f4637,plain,
( v1_lattice3(k7_lattice3(sK9))
| ~ spl38_583 ),
inference(avatar_component_clause,[],[f4636]) ).
fof(f10463,plain,
( spl38_988
| ~ spl38_225
| ~ spl38_532
| ~ spl38_564
| ~ spl38_602 ),
inference(avatar_split_clause,[],[f4842,f4720,f4430,f4180,f1737,f10461]) ).
fof(f10461,plain,
( spl38_988
<=> ! [X0] :
( u1_orders_2(k2_yellow_1(X0)) = k4_relat_1(u1_orders_2(sK9))
| k2_yellow_1(X0) != k7_lattice3(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_988])]) ).
fof(f1737,plain,
( spl38_225
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_225])]) ).
fof(f4180,plain,
( spl38_532
<=> m1_relset_1(u1_orders_2(sK9),u1_struct_0(sK9),u1_struct_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_532])]) ).
fof(f4430,plain,
( spl38_564
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_564])]) ).
fof(f4720,plain,
( spl38_602
<=> ! [X0] : k2_yellow_1(X0) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_602])]) ).
fof(f4842,plain,
( ! [X0] :
( u1_orders_2(k2_yellow_1(X0)) = k4_relat_1(u1_orders_2(sK9))
| k2_yellow_1(X0) != k7_lattice3(sK9) )
| ~ spl38_225
| ~ spl38_532
| ~ spl38_564
| ~ spl38_602 ),
inference(forward_demodulation,[],[f4834,f4603]) ).
fof(f4603,plain,
( k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = k4_relat_1(u1_orders_2(sK9))
| ~ spl38_225
| ~ spl38_532 ),
inference(resolution,[],[f4181,f1738]) ).
fof(f1738,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) )
| ~ spl38_225 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f4181,plain,
( m1_relset_1(u1_orders_2(sK9),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_532 ),
inference(avatar_component_clause,[],[f4180]) ).
fof(f4834,plain,
( ! [X0] :
( k2_yellow_1(X0) != k7_lattice3(sK9)
| u1_orders_2(k2_yellow_1(X0)) = k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) )
| ~ spl38_564
| ~ spl38_602 ),
inference(superposition,[],[f4431,f4721]) ).
fof(f4721,plain,
( ! [X0] : k2_yellow_1(X0) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0)))
| ~ spl38_602 ),
inference(avatar_component_clause,[],[f4720]) ).
fof(f4431,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = X1 )
| ~ spl38_564 ),
inference(avatar_component_clause,[],[f4430]) ).
fof(f10455,plain,
( spl38_987
| ~ spl38_225
| ~ spl38_532
| ~ spl38_986 ),
inference(avatar_split_clause,[],[f10450,f10446,f4180,f1737,f10452]) ).
fof(f10446,plain,
( spl38_986
<=> m2_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_986])]) ).
fof(f10450,plain,
( m2_relset_1(k4_relat_1(u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_225
| ~ spl38_532
| ~ spl38_986 ),
inference(forward_demodulation,[],[f10448,f4603]) ).
fof(f10448,plain,
( m2_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_986 ),
inference(avatar_component_clause,[],[f10446]) ).
fof(f10449,plain,
( spl38_986
| ~ spl38_182
| ~ spl38_517 ),
inference(avatar_split_clause,[],[f4265,f4100,f1434,f10446]) ).
fof(f1434,plain,
( spl38_182
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_182])]) ).
fof(f4100,plain,
( spl38_517
<=> m1_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_517])]) ).
fof(f4265,plain,
( m2_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_182
| ~ spl38_517 ),
inference(resolution,[],[f4101,f1435]) ).
fof(f1435,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl38_182 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f4101,plain,
( m1_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_517 ),
inference(avatar_component_clause,[],[f4100]) ).
fof(f10444,plain,
( spl38_985
| ~ spl38_450
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4250,f4104,f3503,f10442]) ).
fof(f10442,plain,
( spl38_985
<=> ! [X0] :
( k7_lattice3(k2_yellow_1(X0)) != k7_lattice3(sK9)
| u1_struct_0(k2_yellow_1(X0)) = u1_struct_0(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_985])]) ).
fof(f3503,plain,
( spl38_450
<=> ! [X0] : k7_lattice3(k2_yellow_1(X0)) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_450])]) ).
fof(f4250,plain,
( ! [X0] :
( k7_lattice3(k2_yellow_1(X0)) != k7_lattice3(sK9)
| u1_struct_0(k2_yellow_1(X0)) = u1_struct_0(sK9) )
| ~ spl38_450
| ~ spl38_518 ),
inference(superposition,[],[f4105,f3504]) ).
fof(f3504,plain,
( ! [X0] : k7_lattice3(k2_yellow_1(X0)) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))))
| ~ spl38_450 ),
inference(avatar_component_clause,[],[f3503]) ).
fof(f10439,plain,
( spl38_983
| ~ spl38_984
| ~ spl38_514
| ~ spl38_749 ),
inference(avatar_split_clause,[],[f6349,f6344,f4068,f10436,f10432]) ).
fof(f10432,plain,
( spl38_983
<=> u1_struct_0(sK37) = u1_struct_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_983])]) ).
fof(f10436,plain,
( spl38_984
<=> sK37 = k7_lattice3(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_984])]) ).
fof(f6344,plain,
( spl38_749
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_struct_0(sK37) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_749])]) ).
fof(f6349,plain,
( sK37 != k7_lattice3(k7_lattice3(sK9))
| u1_struct_0(sK37) = u1_struct_0(k7_lattice3(sK9))
| ~ spl38_514
| ~ spl38_749 ),
inference(superposition,[],[f6345,f4070]) ).
fof(f6345,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_struct_0(sK37) = X0 )
| ~ spl38_749 ),
inference(avatar_component_clause,[],[f6344]) ).
fof(f10429,plain,
( spl38_981
| ~ spl38_982
| ~ spl38_514
| ~ spl38_742 ),
inference(avatar_split_clause,[],[f6288,f6283,f4068,f10426,f10422]) ).
fof(f10422,plain,
( spl38_981
<=> u1_struct_0(sK36) = u1_struct_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_981])]) ).
fof(f10426,plain,
( spl38_982
<=> sK36 = k7_lattice3(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_982])]) ).
fof(f6283,plain,
( spl38_742
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_struct_0(sK36) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_742])]) ).
fof(f6288,plain,
( sK36 != k7_lattice3(k7_lattice3(sK9))
| u1_struct_0(sK36) = u1_struct_0(k7_lattice3(sK9))
| ~ spl38_514
| ~ spl38_742 ),
inference(superposition,[],[f6284,f4070]) ).
fof(f6284,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_struct_0(sK36) = X0 )
| ~ spl38_742 ),
inference(avatar_component_clause,[],[f6283]) ).
fof(f10419,plain,
( spl38_979
| ~ spl38_980
| ~ spl38_514
| ~ spl38_735 ),
inference(avatar_split_clause,[],[f6227,f6222,f4068,f10416,f10412]) ).
fof(f10412,plain,
( spl38_979
<=> u1_struct_0(sK35) = u1_struct_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_979])]) ).
fof(f10416,plain,
( spl38_980
<=> sK35 = k7_lattice3(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_980])]) ).
fof(f6222,plain,
( spl38_735
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_struct_0(sK35) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_735])]) ).
fof(f6227,plain,
( sK35 != k7_lattice3(k7_lattice3(sK9))
| u1_struct_0(sK35) = u1_struct_0(k7_lattice3(sK9))
| ~ spl38_514
| ~ spl38_735 ),
inference(superposition,[],[f6223,f4070]) ).
fof(f6223,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_struct_0(sK35) = X0 )
| ~ spl38_735 ),
inference(avatar_component_clause,[],[f6222]) ).
fof(f10410,plain,
( spl38_978
| ~ spl38_518
| ~ spl38_602 ),
inference(avatar_split_clause,[],[f4835,f4720,f4104,f10408]) ).
fof(f10408,plain,
( spl38_978
<=> ! [X0] :
( k2_yellow_1(X0) != k7_lattice3(sK9)
| u1_struct_0(k2_yellow_1(X0)) = u1_struct_0(sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_978])]) ).
fof(f4835,plain,
( ! [X0] :
( k2_yellow_1(X0) != k7_lattice3(sK9)
| u1_struct_0(k2_yellow_1(X0)) = u1_struct_0(sK9) )
| ~ spl38_518
| ~ spl38_602 ),
inference(superposition,[],[f4105,f4721]) ).
fof(f10389,plain,
( ~ spl38_53
| ~ spl38_95
| spl38_972 ),
inference(avatar_split_clause,[],[f10246,f10214,f1051,f857]) ).
fof(f857,plain,
( spl38_53
<=> l1_orders_2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_53])]) ).
fof(f1051,plain,
( spl38_95
<=> ! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_95])]) ).
fof(f10246,plain,
( ~ l1_orders_2(sK37)
| ~ spl38_95
| spl38_972 ),
inference(resolution,[],[f10216,f1052]) ).
fof(f1052,plain,
( ! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_95 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f10216,plain,
( ~ l1_orders_2(k7_lattice3(sK37))
| spl38_972 ),
inference(avatar_component_clause,[],[f10214]) ).
fof(f10386,plain,
( ~ spl38_293
| ~ spl38_102
| spl38_971 ),
inference(avatar_split_clause,[],[f10245,f10210,f1080,f2293]) ).
fof(f2293,plain,
( spl38_293
<=> sP2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_293])]) ).
fof(f1080,plain,
( spl38_102
<=> ! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_102])]) ).
fof(f10210,plain,
( spl38_971
<=> v1_yellow_0(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_971])]) ).
fof(f10245,plain,
( ~ sP2(sK37)
| ~ spl38_102
| spl38_971 ),
inference(resolution,[],[f10212,f1081]) ).
fof(f1081,plain,
( ! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_102 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f10212,plain,
( ~ v1_yellow_0(k7_lattice3(sK37))
| spl38_971 ),
inference(avatar_component_clause,[],[f10210]) ).
fof(f10381,plain,
( ~ spl38_293
| ~ spl38_98
| spl38_970 ),
inference(avatar_split_clause,[],[f10243,f10206,f1063,f2293]) ).
fof(f1063,plain,
( spl38_98
<=> ! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_98])]) ).
fof(f10206,plain,
( spl38_970
<=> v1_lattice3(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_970])]) ).
fof(f10243,plain,
( ~ sP2(sK37)
| ~ spl38_98
| spl38_970 ),
inference(resolution,[],[f10208,f1064]) ).
fof(f1064,plain,
( ! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_98 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f10208,plain,
( ~ v1_lattice3(k7_lattice3(sK37))
| spl38_970 ),
inference(avatar_component_clause,[],[f10206]) ).
fof(f10363,plain,
( ~ spl38_44
| ~ spl38_95
| spl38_965 ),
inference(avatar_split_clause,[],[f10192,f10175,f1051,f812]) ).
fof(f812,plain,
( spl38_44
<=> l1_orders_2(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_44])]) ).
fof(f10192,plain,
( ~ l1_orders_2(sK36)
| ~ spl38_95
| spl38_965 ),
inference(resolution,[],[f10177,f1052]) ).
fof(f10177,plain,
( ~ l1_orders_2(k7_lattice3(sK36))
| spl38_965 ),
inference(avatar_component_clause,[],[f10175]) ).
fof(f10360,plain,
( ~ spl38_292
| ~ spl38_102
| spl38_964 ),
inference(avatar_split_clause,[],[f10191,f10171,f1080,f2288]) ).
fof(f2288,plain,
( spl38_292
<=> sP2(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_292])]) ).
fof(f10171,plain,
( spl38_964
<=> v1_yellow_0(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_964])]) ).
fof(f10191,plain,
( ~ sP2(sK36)
| ~ spl38_102
| spl38_964 ),
inference(resolution,[],[f10173,f1081]) ).
fof(f10173,plain,
( ~ v1_yellow_0(k7_lattice3(sK36))
| spl38_964 ),
inference(avatar_component_clause,[],[f10171]) ).
fof(f10355,plain,
( ~ spl38_292
| ~ spl38_98
| spl38_963 ),
inference(avatar_split_clause,[],[f10189,f10167,f1063,f2288]) ).
fof(f10167,plain,
( spl38_963
<=> v1_lattice3(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_963])]) ).
fof(f10189,plain,
( ~ sP2(sK36)
| ~ spl38_98
| spl38_963 ),
inference(resolution,[],[f10169,f1064]) ).
fof(f10169,plain,
( ~ v1_lattice3(k7_lattice3(sK36))
| spl38_963 ),
inference(avatar_component_clause,[],[f10167]) ).
fof(f10335,plain,
( ~ spl38_37
| ~ spl38_95
| spl38_958 ),
inference(avatar_split_clause,[],[f10153,f10139,f1051,f777]) ).
fof(f777,plain,
( spl38_37
<=> l1_orders_2(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_37])]) ).
fof(f10153,plain,
( ~ l1_orders_2(sK35)
| ~ spl38_95
| spl38_958 ),
inference(resolution,[],[f10141,f1052]) ).
fof(f10141,plain,
( ~ l1_orders_2(k7_lattice3(sK35))
| spl38_958 ),
inference(avatar_component_clause,[],[f10139]) ).
fof(f10334,plain,
( ~ spl38_290
| ~ spl38_102
| spl38_957 ),
inference(avatar_split_clause,[],[f10152,f10135,f1080,f2278]) ).
fof(f2278,plain,
( spl38_290
<=> sP2(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_290])]) ).
fof(f10135,plain,
( spl38_957
<=> v1_yellow_0(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_957])]) ).
fof(f10152,plain,
( ~ sP2(sK35)
| ~ spl38_102
| spl38_957 ),
inference(resolution,[],[f10137,f1081]) ).
fof(f10137,plain,
( ~ v1_yellow_0(k7_lattice3(sK35))
| spl38_957 ),
inference(avatar_component_clause,[],[f10135]) ).
fof(f10313,plain,
( spl38_977
| ~ spl38_254
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3190,f3091,f1982,f10311]) ).
fof(f10311,plain,
( spl38_977
<=> ! [X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1),X1)
| k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) = X1
| k3_tarski(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1)) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1))
| ~ v1_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_977])]) ).
fof(f1982,plain,
( spl38_254
<=> ! [X0,X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_254])]) ).
fof(f3091,plain,
( spl38_400
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK23(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_400])]) ).
fof(f3190,plain,
( ! [X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1),X1)
| k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) = X1
| k3_tarski(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1)) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1))
| ~ v1_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK23(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),X1))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) )
| ~ spl38_254
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1983]) ).
fof(f1983,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) )
| ~ spl38_254 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f3092,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| m1_subset_1(sK23(X0,X1),X0)
| X0 = X1 )
| ~ spl38_400 ),
inference(avatar_component_clause,[],[f3091]) ).
fof(f10309,plain,
( spl38_976
| ~ spl38_254
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3160,f3083,f1982,f10307]) ).
fof(f10307,plain,
( spl38_976
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))),X0)
| k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))) = X0
| k3_tarski(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))))
| ~ v1_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))),k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_976])]) ).
fof(f3083,plain,
( spl38_398
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| X0 = X1
| m1_subset_1(sK23(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_398])]) ).
fof(f3160,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))),X0)
| k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))) = X0
| k3_tarski(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))))
| ~ v1_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))),k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(sK23(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ spl38_254
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1983]) ).
fof(f3084,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| m1_subset_1(sK23(X0,X1),X1)
| X0 = X1 )
| ~ spl38_398 ),
inference(avatar_component_clause,[],[f3083]) ).
fof(f10289,plain,
( spl38_975
| ~ spl38_231
| ~ spl38_505 ),
inference(avatar_split_clause,[],[f3979,f3955,f1775,f10287]) ).
fof(f10287,plain,
( spl38_975
<=> ! [X0] :
( k3_tarski(sK17(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK17(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_975])]) ).
fof(f1775,plain,
( spl38_231
<=> ! [X0] :
( v1_waybel_0(sK17(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_231])]) ).
fof(f3955,plain,
( spl38_505
<=> ! [X0] :
( k3_tarski(sK17(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK17(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_505])]) ).
fof(f3979,plain,
( ! [X0] :
( k3_tarski(sK17(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK17(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_231
| ~ spl38_505 ),
inference(duplicate_literal_removal,[],[f3968]) ).
fof(f3968,plain,
( ! [X0] :
( k3_tarski(sK17(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK17(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_231
| ~ spl38_505 ),
inference(resolution,[],[f3956,f1776]) ).
fof(f1776,plain,
( ! [X0] :
( v1_waybel_0(sK17(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_231 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f3956,plain,
( ! [X0] :
( ~ v1_waybel_0(sK17(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| k3_tarski(sK17(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK17(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_505 ),
inference(avatar_component_clause,[],[f3955]) ).
fof(f10255,plain,
( ~ spl38_290
| ~ spl38_98
| spl38_956 ),
inference(avatar_split_clause,[],[f10150,f10131,f1063,f2278]) ).
fof(f10131,plain,
( spl38_956
<=> v1_lattice3(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_956])]) ).
fof(f10150,plain,
( ~ sP2(sK35)
| ~ spl38_98
| spl38_956 ),
inference(resolution,[],[f10133,f1064]) ).
fof(f10133,plain,
( ~ v1_lattice3(k7_lattice3(sK35))
| spl38_956 ),
inference(avatar_component_clause,[],[f10131]) ).
fof(f10250,plain,
( spl38_974
| ~ spl38_177
| ~ spl38_502 ),
inference(avatar_split_clause,[],[f3939,f3905,f1414,f10248]) ).
fof(f10248,plain,
( spl38_974
<=> ! [X0,X1] :
( k3_tarski(sK22(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| v1_xboole_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP7(X0,k2_yellow_1(k8_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_974])]) ).
fof(f1414,plain,
( spl38_177
<=> ! [X0,X1] :
( v1_waybel_0(sK22(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_177])]) ).
fof(f3905,plain,
( spl38_502
<=> ! [X0,X1] :
( k3_tarski(sK22(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ v1_waybel_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))),k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP7(X0,k2_yellow_1(k8_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_502])]) ).
fof(f3939,plain,
( ! [X0,X1] :
( k3_tarski(sK22(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| v1_xboole_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP7(X0,k2_yellow_1(k8_waybel_0(X1))) )
| ~ spl38_177
| ~ spl38_502 ),
inference(duplicate_literal_removal,[],[f3928]) ).
fof(f3928,plain,
( ! [X0,X1] :
( k3_tarski(sK22(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| v1_xboole_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP7(X0,k2_yellow_1(k8_waybel_0(X1)))
| ~ sP7(X0,k2_yellow_1(k8_waybel_0(X1))) )
| ~ spl38_177
| ~ spl38_502 ),
inference(resolution,[],[f3906,f1415]) ).
fof(f1415,plain,
( ! [X0,X1] :
( v1_waybel_0(sK22(X0,X1),X1)
| ~ sP7(X0,X1) )
| ~ spl38_177 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f3906,plain,
( ! [X0,X1] :
( ~ v1_waybel_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))),k2_yellow_1(k8_waybel_0(X1)))
| k3_tarski(sK22(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| v1_xboole_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP7(X0,k2_yellow_1(k8_waybel_0(X1))) )
| ~ spl38_502 ),
inference(avatar_component_clause,[],[f3905]) ).
fof(f10223,plain,
( ~ spl38_26
| ~ spl38_95
| spl38_951 ),
inference(avatar_split_clause,[],[f10117,f10098,f1051,f722]) ).
fof(f722,plain,
( spl38_26
<=> l1_orders_2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_26])]) ).
fof(f10117,plain,
( ~ l1_orders_2(sK34)
| ~ spl38_95
| spl38_951 ),
inference(resolution,[],[f10100,f1052]) ).
fof(f10100,plain,
( ~ l1_orders_2(k7_lattice3(sK34))
| spl38_951 ),
inference(avatar_component_clause,[],[f10098]) ).
fof(f10220,plain,
( ~ spl38_967
| ~ spl38_968
| ~ spl38_969
| ~ spl38_970
| ~ spl38_971
| ~ spl38_972
| spl38_973
| ~ spl38_384
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3783,f3775,f2980,f10218,f10214,f10210,f10206,f10202,f10198,f10194]) ).
fof(f10194,plain,
( spl38_967
<=> v2_orders_2(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_967])]) ).
fof(f10198,plain,
( spl38_968
<=> v3_orders_2(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_968])]) ).
fof(f10202,plain,
( spl38_969
<=> v4_orders_2(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_969])]) ).
fof(f10218,plain,
( spl38_973
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK37))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK37)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_973])]) ).
fof(f2980,plain,
( spl38_384
<=> a_1_1_waybel_0(sK37) = k8_waybel_0(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_384])]) ).
fof(f3775,plain,
( spl38_490
<=> ! [X0,X1] :
( k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X0)
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(X0)
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_490])]) ).
fof(f3783,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK37))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK37)))
| v1_xboole_0(X0)
| ~ l1_orders_2(k7_lattice3(sK37))
| ~ v1_yellow_0(k7_lattice3(sK37))
| ~ v1_lattice3(k7_lattice3(sK37))
| ~ v4_orders_2(k7_lattice3(sK37))
| ~ v3_orders_2(k7_lattice3(sK37))
| ~ v2_orders_2(k7_lattice3(sK37))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK37)),X0) )
| ~ spl38_384
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2982]) ).
fof(f2982,plain,
( a_1_1_waybel_0(sK37) = k8_waybel_0(k7_lattice3(sK37))
| ~ spl38_384 ),
inference(avatar_component_clause,[],[f2980]) ).
fof(f3776,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(X0)
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X0) )
| ~ spl38_490 ),
inference(avatar_component_clause,[],[f3775]) ).
fof(f10182,plain,
( ~ spl38_289
| ~ spl38_102
| spl38_950 ),
inference(avatar_split_clause,[],[f10111,f10094,f1080,f2273]) ).
fof(f2273,plain,
( spl38_289
<=> sP2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_289])]) ).
fof(f10094,plain,
( spl38_950
<=> v1_yellow_0(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_950])]) ).
fof(f10111,plain,
( ~ sP2(sK34)
| ~ spl38_102
| spl38_950 ),
inference(resolution,[],[f10096,f1081]) ).
fof(f10096,plain,
( ~ v1_yellow_0(k7_lattice3(sK34))
| spl38_950 ),
inference(avatar_component_clause,[],[f10094]) ).
fof(f10181,plain,
( ~ spl38_960
| ~ spl38_961
| ~ spl38_962
| ~ spl38_963
| ~ spl38_964
| ~ spl38_965
| spl38_966
| ~ spl38_382
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3782,f3775,f2968,f10179,f10175,f10171,f10167,f10163,f10159,f10155]) ).
fof(f10155,plain,
( spl38_960
<=> v2_orders_2(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_960])]) ).
fof(f10159,plain,
( spl38_961
<=> v3_orders_2(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_961])]) ).
fof(f10163,plain,
( spl38_962
<=> v4_orders_2(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_962])]) ).
fof(f10179,plain,
( spl38_966
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK36))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK36)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_966])]) ).
fof(f2968,plain,
( spl38_382
<=> a_1_1_waybel_0(sK36) = k8_waybel_0(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_382])]) ).
fof(f3782,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK36))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK36)))
| v1_xboole_0(X0)
| ~ l1_orders_2(k7_lattice3(sK36))
| ~ v1_yellow_0(k7_lattice3(sK36))
| ~ v1_lattice3(k7_lattice3(sK36))
| ~ v4_orders_2(k7_lattice3(sK36))
| ~ v3_orders_2(k7_lattice3(sK36))
| ~ v2_orders_2(k7_lattice3(sK36))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK36)),X0) )
| ~ spl38_382
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2970]) ).
fof(f2970,plain,
( a_1_1_waybel_0(sK36) = k8_waybel_0(k7_lattice3(sK36))
| ~ spl38_382 ),
inference(avatar_component_clause,[],[f2968]) ).
fof(f10145,plain,
( ~ spl38_953
| ~ spl38_954
| ~ spl38_955
| ~ spl38_956
| ~ spl38_957
| ~ spl38_958
| spl38_959
| ~ spl38_380
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3781,f3775,f2956,f10143,f10139,f10135,f10131,f10127,f10123,f10119]) ).
fof(f10119,plain,
( spl38_953
<=> v2_orders_2(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_953])]) ).
fof(f10123,plain,
( spl38_954
<=> v3_orders_2(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_954])]) ).
fof(f10127,plain,
( spl38_955
<=> v4_orders_2(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_955])]) ).
fof(f10143,plain,
( spl38_959
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK35))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK35)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK35))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_959])]) ).
fof(f2956,plain,
( spl38_380
<=> a_1_1_waybel_0(sK35) = k8_waybel_0(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_380])]) ).
fof(f3781,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK35))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK35)))
| v1_xboole_0(X0)
| ~ l1_orders_2(k7_lattice3(sK35))
| ~ v1_yellow_0(k7_lattice3(sK35))
| ~ v1_lattice3(k7_lattice3(sK35))
| ~ v4_orders_2(k7_lattice3(sK35))
| ~ v3_orders_2(k7_lattice3(sK35))
| ~ v2_orders_2(k7_lattice3(sK35))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK35)),X0) )
| ~ spl38_380
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2958]) ).
fof(f2958,plain,
( a_1_1_waybel_0(sK35) = k8_waybel_0(k7_lattice3(sK35))
| ~ spl38_380 ),
inference(avatar_component_clause,[],[f2956]) ).
fof(f10112,plain,
( ~ spl38_289
| ~ spl38_98
| spl38_949 ),
inference(avatar_split_clause,[],[f10109,f10090,f1063,f2273]) ).
fof(f10090,plain,
( spl38_949
<=> v1_lattice3(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_949])]) ).
fof(f10109,plain,
( ~ sP2(sK34)
| ~ spl38_98
| spl38_949 ),
inference(resolution,[],[f10092,f1064]) ).
fof(f10092,plain,
( ~ v1_lattice3(k7_lattice3(sK34))
| spl38_949 ),
inference(avatar_component_clause,[],[f10090]) ).
fof(f10104,plain,
( ~ spl38_946
| ~ spl38_947
| ~ spl38_948
| ~ spl38_949
| ~ spl38_950
| ~ spl38_951
| spl38_952
| ~ spl38_378
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3780,f3775,f2944,f10102,f10098,f10094,f10090,f10086,f10082,f10078]) ).
fof(f10078,plain,
( spl38_946
<=> v2_orders_2(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_946])]) ).
fof(f10082,plain,
( spl38_947
<=> v3_orders_2(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_947])]) ).
fof(f10086,plain,
( spl38_948
<=> v4_orders_2(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_948])]) ).
fof(f10102,plain,
( spl38_952
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK34))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK34)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_952])]) ).
fof(f2944,plain,
( spl38_378
<=> a_1_1_waybel_0(sK34) = k8_waybel_0(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_378])]) ).
fof(f3780,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK34))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK34)))
| v1_xboole_0(X0)
| ~ l1_orders_2(k7_lattice3(sK34))
| ~ v1_yellow_0(k7_lattice3(sK34))
| ~ v1_lattice3(k7_lattice3(sK34))
| ~ v4_orders_2(k7_lattice3(sK34))
| ~ v3_orders_2(k7_lattice3(sK34))
| ~ v2_orders_2(k7_lattice3(sK34))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK34)),X0) )
| ~ spl38_378
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2946]) ).
fof(f2946,plain,
( a_1_1_waybel_0(sK34) = k8_waybel_0(k7_lattice3(sK34))
| ~ spl38_378 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f10076,plain,
( spl38_945
| ~ spl38_71
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3778,f3775,f943,f10074]) ).
fof(f10074,plain,
( spl38_945
<=> ! [X0] :
( ~ v1_waybel_0(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| k3_tarski(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_945])]) ).
fof(f943,plain,
( spl38_71
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_71])]) ).
fof(f3778,plain,
( ! [X0] :
( ~ v1_waybel_0(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| k3_tarski(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) )
| ~ spl38_71
| ~ spl38_490 ),
inference(resolution,[],[f3776,f944]) ).
fof(f944,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl38_71 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f10072,plain,
( spl38_944
| ~ spl38_251
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3189,f3091,f1935,f10070]) ).
fof(f10070,plain,
( spl38_944
<=> ! [X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| sP5(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v13_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v2_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| v1_xboole_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_944])]) ).
fof(f1935,plain,
( spl38_251
<=> ! [X2,X1] :
( sP5(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v13_waybel_0(X2,X1)
| ~ v2_waybel_0(X2,X1)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_251])]) ).
fof(f3189,plain,
( ! [X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| sP5(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v13_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v2_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| v1_xboole_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1)) )
| ~ spl38_251
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1936]) ).
fof(f1936,plain,
( ! [X2,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| sP5(X2,X1)
| ~ v13_waybel_0(X2,X1)
| ~ v2_waybel_0(X2,X1)
| v1_xboole_0(X2) )
| ~ spl38_251 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f10068,plain,
( spl38_943
| ~ spl38_252
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3188,f3091,f1939,f10066]) ).
fof(f10066,plain,
( spl38_943
<=> ! [X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| sP7(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v12_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v1_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| v1_xboole_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_943])]) ).
fof(f1939,plain,
( spl38_252
<=> ! [X2,X1] :
( sP7(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(X2,X1)
| ~ v1_waybel_0(X2,X1)
| v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_252])]) ).
fof(f3188,plain,
( ! [X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X1)
| k1_zfmisc_1(u1_struct_0(X0)) = X1
| sP7(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v12_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| ~ v1_waybel_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1),X0)
| v1_xboole_0(sK23(k1_zfmisc_1(u1_struct_0(X0)),X1)) )
| ~ spl38_252
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1940]) ).
fof(f1940,plain,
( ! [X2,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| sP7(X2,X1)
| ~ v12_waybel_0(X2,X1)
| ~ v1_waybel_0(X2,X1)
| v1_xboole_0(X2) )
| ~ spl38_252 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f10064,plain,
( spl38_942
| ~ spl38_251
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3159,f3083,f1935,f10062]) ).
fof(f10062,plain,
( spl38_942
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0
| sP5(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v13_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v2_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| v1_xboole_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_942])]) ).
fof(f3159,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0
| sP5(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v13_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v2_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| v1_xboole_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1)))) )
| ~ spl38_251
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1936]) ).
fof(f10060,plain,
( spl38_941
| ~ spl38_252
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3158,f3083,f1939,f10058]) ).
fof(f10058,plain,
( spl38_941
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0
| sP7(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v12_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v1_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| v1_xboole_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_941])]) ).
fof(f3158,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X0)
| k1_zfmisc_1(u1_struct_0(X1)) = X0
| sP7(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v12_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| ~ v1_waybel_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1))),X1)
| v1_xboole_0(sK23(X0,k1_zfmisc_1(u1_struct_0(X1)))) )
| ~ spl38_252
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1940]) ).
fof(f10027,plain,
( spl38_940
| ~ spl38_299
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3567,f3559,f2320,f10025]) ).
fof(f10025,plain,
( spl38_940
<=> ! [X0] : k7_lattice3(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))) = g1_orders_2(u1_struct_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))),k6_relset_1(u1_struct_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))),u1_struct_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))),u1_orders_2(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_940])]) ).
fof(f2320,plain,
( spl38_299
<=> ! [X0] : l1_orders_2(g1_orders_2(X0,sK24(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_299])]) ).
fof(f3559,plain,
( spl38_458
<=> ! [X0] :
( k7_lattice3(k7_lattice3(X0)) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),k6_relset_1(u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0))))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_458])]) ).
fof(f3567,plain,
( ! [X0] : k7_lattice3(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))) = g1_orders_2(u1_struct_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))),k6_relset_1(u1_struct_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))),u1_struct_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0)))),u1_orders_2(k7_lattice3(g1_orders_2(X0,sK24(X0,X0))))))
| ~ spl38_299
| ~ spl38_458 ),
inference(resolution,[],[f3560,f2321]) ).
fof(f2321,plain,
( ! [X0] : l1_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ spl38_299 ),
inference(avatar_component_clause,[],[f2320]) ).
fof(f3560,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k7_lattice3(k7_lattice3(X0)) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),k6_relset_1(u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))) )
| ~ spl38_458 ),
inference(avatar_component_clause,[],[f3559]) ).
fof(f9992,plain,
( spl38_939
| ~ spl38_69
| ~ spl38_642
| ~ spl38_938 ),
inference(avatar_split_clause,[],[f9988,f9984,f5136,f935,f9990]) ).
fof(f9990,plain,
( spl38_939
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(k4_relat_1(u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)))
| k4_relat_1(u1_orders_2(k2_yellow_1(X0))) = X2
| k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_939])]) ).
fof(f935,plain,
( spl38_69
<=> ! [X0] : l1_orders_2(k2_yellow_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_69])]) ).
fof(f5136,plain,
( spl38_642
<=> ! [X0] :
( ~ l1_orders_2(X0)
| k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0)) = k4_relat_1(u1_orders_2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_642])]) ).
fof(f9984,plain,
( spl38_938
<=> ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) = X2
| ~ m1_relset_1(k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_938])]) ).
fof(f9988,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(k4_relat_1(u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)))
| k4_relat_1(u1_orders_2(k2_yellow_1(X0))) = X2
| k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2) )
| ~ spl38_69
| ~ spl38_642
| ~ spl38_938 ),
inference(forward_demodulation,[],[f9987,f5299]) ).
fof(f5299,plain,
( ! [X0] : k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) = k4_relat_1(u1_orders_2(k2_yellow_1(X0)))
| ~ spl38_69
| ~ spl38_642 ),
inference(resolution,[],[f5137,f936]) ).
fof(f936,plain,
( ! [X0] : l1_orders_2(k2_yellow_1(X0))
| ~ spl38_69 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f5137,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0)) = k4_relat_1(u1_orders_2(X0)) )
| ~ spl38_642 ),
inference(avatar_component_clause,[],[f5136]) ).
fof(f9987,plain,
( ! [X2,X0,X1] :
( k4_relat_1(u1_orders_2(k2_yellow_1(X0))) = X2
| k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| ~ m1_relset_1(k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0))) )
| ~ spl38_69
| ~ spl38_642
| ~ spl38_938 ),
inference(forward_demodulation,[],[f9985,f5299]) ).
fof(f9985,plain,
( ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) = X2
| ~ m1_relset_1(k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0))) )
| ~ spl38_938 ),
inference(avatar_component_clause,[],[f9984]) ).
fof(f9986,plain,
( spl38_938
| ~ spl38_248
| ~ spl38_450 ),
inference(avatar_split_clause,[],[f3519,f3503,f1882,f9984]) ).
fof(f1882,plain,
( spl38_248
<=> ! [X0,X3,X2,X1] :
( X1 = X3
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_248])]) ).
fof(f3519,plain,
( ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) = X2
| ~ m1_relset_1(k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0))) )
| ~ spl38_248
| ~ spl38_450 ),
inference(superposition,[],[f1883,f3504]) ).
fof(f1883,plain,
( ! [X2,X3,X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X1 = X3
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f9982,plain,
( spl38_937
| ~ spl38_246
| ~ spl38_299 ),
inference(avatar_split_clause,[],[f2347,f2320,f1874,f9980]) ).
fof(f9980,plain,
( spl38_937
<=> ! [X0] :
( sP4(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_yellow_0(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_lattice3(g1_orders_2(X0,sK24(X0,X0)))
| ~ v4_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_937])]) ).
fof(f1874,plain,
( spl38_246
<=> ! [X0] :
( sP4(X0)
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_246])]) ).
fof(f2347,plain,
( ! [X0] :
( sP4(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_yellow_0(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_lattice3(g1_orders_2(X0,sK24(X0,X0)))
| ~ v4_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0))) )
| ~ spl38_246
| ~ spl38_299 ),
inference(resolution,[],[f2321,f1875]) ).
fof(f1875,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| sP4(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) )
| ~ spl38_246 ),
inference(avatar_component_clause,[],[f1874]) ).
fof(f9948,plain,
( spl38_621
| ~ spl38_568
| ~ spl38_936
| ~ spl38_141
| ~ spl38_899 ),
inference(avatar_split_clause,[],[f9033,f8990,f1258,f9945,f4457,f5011]) ).
fof(f4457,plain,
( spl38_568
<=> l1_struct_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_568])]) ).
fof(f9945,plain,
( spl38_936
<=> v1_xboole_0(u1_struct_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_936])]) ).
fof(f1258,plain,
( spl38_141
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_141])]) ).
fof(f9033,plain,
( ~ v1_xboole_0(u1_struct_0(sK9))
| ~ l1_struct_0(k7_lattice3(sK9))
| v3_struct_0(k7_lattice3(sK9))
| ~ spl38_141
| ~ spl38_899 ),
inference(superposition,[],[f1259,f8992]) ).
fof(f1259,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl38_141 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f9943,plain,
( spl38_935
| ~ spl38_119
| ~ spl38_494 ),
inference(avatar_split_clause,[],[f3849,f3808,f1157,f9941]) ).
fof(f9941,plain,
( spl38_935
<=> ! [X0] :
( k3_tarski(sK18(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK18(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ sP3(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_935])]) ).
fof(f1157,plain,
( spl38_119
<=> ! [X0] :
( v1_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_119])]) ).
fof(f3808,plain,
( spl38_494
<=> ! [X0] :
( k3_tarski(sK18(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK18(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ sP3(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_494])]) ).
fof(f3849,plain,
( ! [X0] :
( k3_tarski(sK18(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK18(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ sP3(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_119
| ~ spl38_494 ),
inference(duplicate_literal_removal,[],[f3838]) ).
fof(f3838,plain,
( ! [X0] :
( k3_tarski(sK18(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK18(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ sP3(k2_yellow_1(k8_waybel_0(X0)))
| ~ sP3(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_119
| ~ spl38_494 ),
inference(resolution,[],[f3809,f1158]) ).
fof(f1158,plain,
( ! [X0] :
( v1_waybel_0(sK18(X0),X0)
| ~ sP3(X0) )
| ~ spl38_119 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f3809,plain,
( ! [X0] :
( ~ v1_waybel_0(sK18(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| k3_tarski(sK18(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK18(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ sP3(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_494 ),
inference(avatar_component_clause,[],[f3808]) ).
fof(f9939,plain,
( spl38_934
| ~ spl38_117
| ~ spl38_493 ),
inference(avatar_split_clause,[],[f3837,f3804,f1149,f9937]) ).
fof(f9937,plain,
( spl38_934
<=> ! [X0] :
( k3_tarski(sK13(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK13(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_934])]) ).
fof(f1149,plain,
( spl38_117
<=> ! [X0] :
( v1_waybel_0(sK13(X0),X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_117])]) ).
fof(f3804,plain,
( spl38_493
<=> ! [X0] :
( k3_tarski(sK13(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK13(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_493])]) ).
fof(f3837,plain,
( ! [X0] :
( k3_tarski(sK13(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK13(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_117
| ~ spl38_493 ),
inference(duplicate_literal_removal,[],[f3826]) ).
fof(f3826,plain,
( ! [X0] :
( k3_tarski(sK13(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK13(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_117
| ~ spl38_493 ),
inference(resolution,[],[f3805,f1150]) ).
fof(f1150,plain,
( ! [X0] :
( v1_waybel_0(sK13(X0),X0)
| ~ l1_orders_2(X0) )
| ~ spl38_117 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f3805,plain,
( ! [X0] :
( ~ v1_waybel_0(sK13(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| k3_tarski(sK13(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK13(k2_yellow_1(k8_waybel_0(X0))))
| v1_xboole_0(sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_493 ),
inference(avatar_component_clause,[],[f3804]) ).
fof(f9865,plain,
( ~ spl38_56
| ~ spl38_57
| ~ spl38_58
| ~ spl38_59
| ~ spl38_62
| ~ spl38_53
| spl38_933
| ~ spl38_254
| ~ spl38_360 ),
inference(avatar_split_clause,[],[f2782,f2778,f1982,f9863,f857,f902,f887,f882,f877,f872]) ).
fof(f872,plain,
( spl38_56
<=> v2_orders_2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_56])]) ).
fof(f877,plain,
( spl38_57
<=> v3_orders_2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_57])]) ).
fof(f882,plain,
( spl38_58
<=> v4_orders_2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_58])]) ).
fof(f887,plain,
( spl38_59
<=> v1_lattice3(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_59])]) ).
fof(f902,plain,
( spl38_62
<=> v1_yellow_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_62])]) ).
fof(f9863,plain,
( spl38_933
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK37)))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK37)))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK37)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_933])]) ).
fof(f2778,plain,
( spl38_360
<=> k8_waybel_0(sK37) = a_1_0_waybel_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_360])]) ).
fof(f2782,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK37)))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK37)),X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK37)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK37)
| ~ v1_yellow_0(sK37)
| ~ v1_lattice3(sK37)
| ~ v4_orders_2(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37) )
| ~ spl38_254
| ~ spl38_360 ),
inference(superposition,[],[f1983,f2780]) ).
fof(f2780,plain,
( k8_waybel_0(sK37) = a_1_0_waybel_0(sK37)
| ~ spl38_360 ),
inference(avatar_component_clause,[],[f2778]) ).
fof(f9791,plain,
( ~ spl38_47
| ~ spl38_48
| ~ spl38_49
| ~ spl38_50
| ~ spl38_434
| ~ spl38_44
| spl38_932
| ~ spl38_254
| ~ spl38_359 ),
inference(avatar_split_clause,[],[f2776,f2772,f1982,f9789,f812,f3397,f842,f837,f832,f827]) ).
fof(f827,plain,
( spl38_47
<=> v2_orders_2(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_47])]) ).
fof(f832,plain,
( spl38_48
<=> v3_orders_2(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_48])]) ).
fof(f837,plain,
( spl38_49
<=> v4_orders_2(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_49])]) ).
fof(f842,plain,
( spl38_50
<=> v1_lattice3(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_50])]) ).
fof(f3397,plain,
( spl38_434
<=> v1_yellow_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_434])]) ).
fof(f9789,plain,
( spl38_932
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK36)))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK36)))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK36)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_932])]) ).
fof(f2772,plain,
( spl38_359
<=> k8_waybel_0(sK36) = a_1_0_waybel_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_359])]) ).
fof(f2776,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK36)))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK36)),X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK36)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK36)
| ~ v1_yellow_0(sK36)
| ~ v1_lattice3(sK36)
| ~ v4_orders_2(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36) )
| ~ spl38_254
| ~ spl38_359 ),
inference(superposition,[],[f1983,f2774]) ).
fof(f2774,plain,
( k8_waybel_0(sK36) = a_1_0_waybel_0(sK36)
| ~ spl38_359 ),
inference(avatar_component_clause,[],[f2772]) ).
fof(f9717,plain,
( ~ spl38_40
| ~ spl38_41
| ~ spl38_42
| ~ spl38_287
| ~ spl38_509
| ~ spl38_37
| spl38_931
| ~ spl38_254
| ~ spl38_358 ),
inference(avatar_split_clause,[],[f2770,f2766,f1982,f9715,f777,f4011,f2259,f802,f797,f792]) ).
fof(f792,plain,
( spl38_40
<=> v2_orders_2(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_40])]) ).
fof(f797,plain,
( spl38_41
<=> v3_orders_2(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_41])]) ).
fof(f802,plain,
( spl38_42
<=> v4_orders_2(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_42])]) ).
fof(f2259,plain,
( spl38_287
<=> v1_lattice3(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_287])]) ).
fof(f4011,plain,
( spl38_509
<=> v1_yellow_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_509])]) ).
fof(f9715,plain,
( spl38_931
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK35)))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK35)))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK35)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_931])]) ).
fof(f2766,plain,
( spl38_358
<=> k8_waybel_0(sK35) = a_1_0_waybel_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_358])]) ).
fof(f2770,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK35)))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK35)),X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK35)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK35)
| ~ v1_yellow_0(sK35)
| ~ v1_lattice3(sK35)
| ~ v4_orders_2(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35) )
| ~ spl38_254
| ~ spl38_358 ),
inference(superposition,[],[f1983,f2768]) ).
fof(f2768,plain,
( k8_waybel_0(sK35) = a_1_0_waybel_0(sK35)
| ~ spl38_358 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f9643,plain,
( ~ spl38_28
| ~ spl38_29
| ~ spl38_30
| ~ spl38_31
| ~ spl38_34
| ~ spl38_26
| spl38_930
| ~ spl38_254
| ~ spl38_357 ),
inference(avatar_split_clause,[],[f2758,f2754,f1982,f9641,f722,f762,f747,f742,f737,f732]) ).
fof(f732,plain,
( spl38_28
<=> v2_orders_2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_28])]) ).
fof(f737,plain,
( spl38_29
<=> v3_orders_2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_29])]) ).
fof(f742,plain,
( spl38_30
<=> v4_orders_2(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_30])]) ).
fof(f747,plain,
( spl38_31
<=> v1_lattice3(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_31])]) ).
fof(f762,plain,
( spl38_34
<=> v1_yellow_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_34])]) ).
fof(f9641,plain,
( spl38_930
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK34)))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK34)))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK34)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_930])]) ).
fof(f2754,plain,
( spl38_357
<=> k8_waybel_0(sK34) = a_1_0_waybel_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_357])]) ).
fof(f2758,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK34)))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK34)),X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK34)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK34)
| ~ v1_yellow_0(sK34)
| ~ v1_lattice3(sK34)
| ~ v4_orders_2(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34) )
| ~ spl38_254
| ~ spl38_357 ),
inference(superposition,[],[f1983,f2756]) ).
fof(f2756,plain,
( k8_waybel_0(sK34) = a_1_0_waybel_0(sK34)
| ~ spl38_357 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f9634,plain,
( ~ spl38_56
| ~ spl38_57
| ~ spl38_58
| ~ spl38_59
| ~ spl38_62
| ~ spl38_53
| spl38_929
| ~ spl38_360
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3788,f3775,f2778,f9632,f857,f902,f887,f882,f877,f872]) ).
fof(f9632,plain,
( spl38_929
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK37))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK37)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_929])]) ).
fof(f3788,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK37))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK37)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK37)
| ~ v1_yellow_0(sK37)
| ~ v1_lattice3(sK37)
| ~ v4_orders_2(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK37)),X0) )
| ~ spl38_360
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2780]) ).
fof(f9629,plain,
( ~ spl38_47
| ~ spl38_48
| ~ spl38_49
| ~ spl38_50
| ~ spl38_434
| ~ spl38_44
| spl38_928
| ~ spl38_359
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3787,f3775,f2772,f9627,f812,f3397,f842,f837,f832,f827]) ).
fof(f9627,plain,
( spl38_928
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK36))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK36)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_928])]) ).
fof(f3787,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK36))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK36)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK36)
| ~ v1_yellow_0(sK36)
| ~ v1_lattice3(sK36)
| ~ v4_orders_2(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK36)),X0) )
| ~ spl38_359
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2774]) ).
fof(f9624,plain,
( ~ spl38_40
| ~ spl38_41
| ~ spl38_42
| ~ spl38_287
| ~ spl38_509
| ~ spl38_37
| spl38_927
| ~ spl38_358
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3786,f3775,f2766,f9622,f777,f4011,f2259,f802,f797,f792]) ).
fof(f9622,plain,
( spl38_927
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK35))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK35)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK35))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_927])]) ).
fof(f3786,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK35))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK35)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK35)
| ~ v1_yellow_0(sK35)
| ~ v1_lattice3(sK35)
| ~ v4_orders_2(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK35)),X0) )
| ~ spl38_358
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2768]) ).
fof(f9619,plain,
( ~ spl38_28
| ~ spl38_29
| ~ spl38_30
| ~ spl38_31
| ~ spl38_34
| ~ spl38_26
| spl38_926
| ~ spl38_357
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3785,f3775,f2754,f9617,f722,f762,f747,f742,f737,f732]) ).
fof(f9617,plain,
( spl38_926
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK34))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK34)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_926])]) ).
fof(f3785,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK34))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK34)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK34)
| ~ v1_yellow_0(sK34)
| ~ v1_lattice3(sK34)
| ~ v4_orders_2(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK34)),X0) )
| ~ spl38_357
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2756]) ).
fof(f9589,plain,
( spl38_925
| ~ spl38_299
| ~ spl38_642
| ~ spl38_923 ),
inference(avatar_split_clause,[],[f9580,f9577,f5136,f2320,f9587]) ).
fof(f9587,plain,
( spl38_925
<=> ! [X0] : k7_lattice3(g1_orders_2(X0,sK24(X0,X0))) = g1_orders_2(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),k4_relat_1(u1_orders_2(g1_orders_2(X0,sK24(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_925])]) ).
fof(f9577,plain,
( spl38_923
<=> ! [X0] : k7_lattice3(g1_orders_2(X0,sK24(X0,X0))) = g1_orders_2(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),k6_relset_1(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_orders_2(g1_orders_2(X0,sK24(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_923])]) ).
fof(f9580,plain,
( ! [X0] : k7_lattice3(g1_orders_2(X0,sK24(X0,X0))) = g1_orders_2(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),k4_relat_1(u1_orders_2(g1_orders_2(X0,sK24(X0,X0)))))
| ~ spl38_299
| ~ spl38_642
| ~ spl38_923 ),
inference(forward_demodulation,[],[f9578,f5300]) ).
fof(f5300,plain,
( ! [X0] : k6_relset_1(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_orders_2(g1_orders_2(X0,sK24(X0,X0)))) = k4_relat_1(u1_orders_2(g1_orders_2(X0,sK24(X0,X0))))
| ~ spl38_299
| ~ spl38_642 ),
inference(resolution,[],[f5137,f2321]) ).
fof(f9578,plain,
( ! [X0] : k7_lattice3(g1_orders_2(X0,sK24(X0,X0))) = g1_orders_2(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),k6_relset_1(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_orders_2(g1_orders_2(X0,sK24(X0,X0)))))
| ~ spl38_923 ),
inference(avatar_component_clause,[],[f9577]) ).
fof(f9585,plain,
( ~ spl38_547
| spl38_924
| ~ spl38_516
| ~ spl38_910 ),
inference(avatar_split_clause,[],[f9485,f9419,f4093,f9582,f4295]) ).
fof(f9582,plain,
( spl38_924
<=> v1_relat_1(k4_relat_1(u1_orders_2(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_924])]) ).
fof(f4093,plain,
( spl38_516
<=> ! [X0] :
( v1_relat_1(u1_orders_2(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_516])]) ).
fof(f9485,plain,
( v1_relat_1(k4_relat_1(u1_orders_2(sK9)))
| ~ l1_orders_2(k7_lattice3(sK9))
| ~ spl38_516
| ~ spl38_910 ),
inference(superposition,[],[f4094,f9421]) ).
fof(f4094,plain,
( ! [X0] :
( v1_relat_1(u1_orders_2(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_516 ),
inference(avatar_component_clause,[],[f4093]) ).
fof(f9579,plain,
( spl38_923
| ~ spl38_249
| ~ spl38_299 ),
inference(avatar_split_clause,[],[f2346,f2320,f1919,f9577]) ).
fof(f1919,plain,
( spl38_249
<=> ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_249])]) ).
fof(f2346,plain,
( ! [X0] : k7_lattice3(g1_orders_2(X0,sK24(X0,X0))) = g1_orders_2(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),k6_relset_1(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_orders_2(g1_orders_2(X0,sK24(X0,X0)))))
| ~ spl38_249
| ~ spl38_299 ),
inference(resolution,[],[f2321,f1920]) ).
fof(f1920,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0))) )
| ~ spl38_249 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f9575,plain,
( spl38_922
| ~ spl38_240
| ~ spl38_299 ),
inference(avatar_split_clause,[],[f2348,f2320,f1849,f9573]) ).
fof(f9573,plain,
( spl38_922
<=> ! [X0] :
( k9_waybel_0(g1_orders_2(X0,sK24(X0,X0))) = k8_waybel_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0))))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| v3_struct_0(g1_orders_2(X0,sK24(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_922])]) ).
fof(f1849,plain,
( spl38_240
<=> ! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_240])]) ).
fof(f2348,plain,
( ! [X0] :
( k9_waybel_0(g1_orders_2(X0,sK24(X0,X0))) = k8_waybel_0(k7_lattice3(g1_orders_2(X0,sK24(X0,X0))))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| v3_struct_0(g1_orders_2(X0,sK24(X0,X0))) )
| ~ spl38_240
| ~ spl38_299 ),
inference(resolution,[],[f2321,f1850]) ).
fof(f1850,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_240 ),
inference(avatar_component_clause,[],[f1849]) ).
fof(f9571,plain,
( spl38_921
| ~ spl38_233
| ~ spl38_299 ),
inference(avatar_split_clause,[],[f2350,f2320,f1785,f9569]) ).
fof(f9569,plain,
( spl38_921
<=> ! [X0] :
( k8_waybel_0(g1_orders_2(X0,sK24(X0,X0))) = a_1_0_waybel_0(g1_orders_2(X0,sK24(X0,X0)))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| v3_struct_0(g1_orders_2(X0,sK24(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_921])]) ).
fof(f1785,plain,
( spl38_233
<=> ! [X0] :
( k8_waybel_0(X0) = a_1_0_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_233])]) ).
fof(f2350,plain,
( ! [X0] :
( k8_waybel_0(g1_orders_2(X0,sK24(X0,X0))) = a_1_0_waybel_0(g1_orders_2(X0,sK24(X0,X0)))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| v3_struct_0(g1_orders_2(X0,sK24(X0,X0))) )
| ~ spl38_233
| ~ spl38_299 ),
inference(resolution,[],[f2321,f1786]) ).
fof(f1786,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k8_waybel_0(X0) = a_1_0_waybel_0(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_233 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f9567,plain,
( spl38_920
| ~ spl38_234
| ~ spl38_299 ),
inference(avatar_split_clause,[],[f2349,f2320,f1789,f9565]) ).
fof(f9565,plain,
( spl38_920
<=> ! [X0] :
( k9_waybel_0(g1_orders_2(X0,sK24(X0,X0))) = a_1_1_waybel_0(g1_orders_2(X0,sK24(X0,X0)))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| v3_struct_0(g1_orders_2(X0,sK24(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_920])]) ).
fof(f1789,plain,
( spl38_234
<=> ! [X0] :
( k9_waybel_0(X0) = a_1_1_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_234])]) ).
fof(f2349,plain,
( ! [X0] :
( k9_waybel_0(g1_orders_2(X0,sK24(X0,X0))) = a_1_1_waybel_0(g1_orders_2(X0,sK24(X0,X0)))
| ~ v3_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ v2_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| v3_struct_0(g1_orders_2(X0,sK24(X0,X0))) )
| ~ spl38_234
| ~ spl38_299 ),
inference(resolution,[],[f2321,f1790]) ).
fof(f1790,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k9_waybel_0(X0) = a_1_1_waybel_0(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_234 ),
inference(avatar_component_clause,[],[f1789]) ).
fof(f9542,plain,
( spl38_919
| ~ spl38_69
| ~ spl38_642
| ~ spl38_918 ),
inference(avatar_split_clause,[],[f9538,f9535,f5136,f935,f9540]) ).
fof(f9540,plain,
( spl38_919
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(k4_relat_1(u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)))
| k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| u1_struct_0(k2_yellow_1(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_919])]) ).
fof(f9535,plain,
( spl38_918
<=> ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| u1_struct_0(k2_yellow_1(X0)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_918])]) ).
fof(f9538,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(k4_relat_1(u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)))
| k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| u1_struct_0(k2_yellow_1(X0)) = X1 )
| ~ spl38_69
| ~ spl38_642
| ~ spl38_918 ),
inference(forward_demodulation,[],[f9536,f5299]) ).
fof(f9536,plain,
( ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| u1_struct_0(k2_yellow_1(X0)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0))) )
| ~ spl38_918 ),
inference(avatar_component_clause,[],[f9535]) ).
fof(f9537,plain,
( spl38_918
| ~ spl38_247
| ~ spl38_450 ),
inference(avatar_split_clause,[],[f3521,f3503,f1878,f9535]) ).
fof(f1878,plain,
( spl38_247
<=> ! [X0,X3,X2,X1] :
( X0 = X2
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_247])]) ).
fof(f3521,plain,
( ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| u1_struct_0(k2_yellow_1(X0)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))),u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0))) )
| ~ spl38_247
| ~ spl38_450 ),
inference(superposition,[],[f1879,f3504]) ).
fof(f1879,plain,
( ! [X2,X3,X0,X1] :
( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X0 = X2
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f9450,plain,
( spl38_917
| ~ spl38_239
| ~ spl38_482 ),
inference(avatar_split_clause,[],[f3720,f3701,f1845,f9448]) ).
fof(f9448,plain,
( spl38_917
<=> ! [X0] :
( ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| v2_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_917])]) ).
fof(f1845,plain,
( spl38_239
<=> ! [X0] :
( v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_239])]) ).
fof(f3701,plain,
( spl38_482
<=> ! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| v2_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_482])]) ).
fof(f3720,plain,
( ! [X0] :
( ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| v2_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_239
| ~ spl38_482 ),
inference(duplicate_literal_removal,[],[f3713]) ).
fof(f3713,plain,
( ! [X0] :
( ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| v2_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_239
| ~ spl38_482 ),
inference(resolution,[],[f3702,f1846]) ).
fof(f1846,plain,
( ! [X0] :
( v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_239 ),
inference(avatar_component_clause,[],[f1845]) ).
fof(f3702,plain,
( ! [X0] :
( ~ v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| v2_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ spl38_482 ),
inference(avatar_component_clause,[],[f3701]) ).
fof(f9446,plain,
( spl38_916
| ~ spl38_236
| ~ spl38_419 ),
inference(avatar_split_clause,[],[f3333,f3301,f1797,f9444]) ).
fof(f9444,plain,
( spl38_916
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(sK23(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| ~ r2_hidden(sK23(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_916])]) ).
fof(f1797,plain,
( spl38_236
<=> ! [X0,X1] :
( X0 = X1
| ~ r2_hidden(sK23(X0,X1),X1)
| ~ r2_hidden(sK23(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_236])]) ).
fof(f3301,plain,
( spl38_419
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_419])]) ).
fof(f3333,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(sK23(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| ~ r2_hidden(sK23(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) )
| ~ spl38_236
| ~ spl38_419 ),
inference(resolution,[],[f3302,f1798]) ).
fof(f1798,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(sK23(X0,X1),X0) )
| ~ spl38_236 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f3302,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl38_419 ),
inference(avatar_component_clause,[],[f3301]) ).
fof(f9442,plain,
( spl38_915
| ~ spl38_146
| ~ spl38_483 ),
inference(avatar_split_clause,[],[f3723,f3705,f1278,f9440]) ).
fof(f9440,plain,
( spl38_915
<=> ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_915])]) ).
fof(f1278,plain,
( spl38_146
<=> ! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_146])]) ).
fof(f3705,plain,
( spl38_483
<=> ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_483])]) ).
fof(f3723,plain,
( ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0) )
| ~ spl38_146
| ~ spl38_483 ),
inference(duplicate_literal_removal,[],[f3721]) ).
fof(f3721,plain,
( ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) )
| ~ spl38_146
| ~ spl38_483 ),
inference(resolution,[],[f3706,f1279]) ).
fof(f1279,plain,
( ! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) )
| ~ spl38_146 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f3706,plain,
( ! [X0] :
( ~ v1_yellow_0(k7_lattice3(X0))
| ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_483 ),
inference(avatar_component_clause,[],[f3705]) ).
fof(f9438,plain,
( ~ spl38_871
| spl38_914
| ~ spl38_248
| ~ spl38_407 ),
inference(avatar_split_clause,[],[f3214,f3124,f1882,f9436,f8401]) ).
fof(f8401,plain,
( spl38_871
<=> m1_relset_1(k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)),u1_struct_0(sK37),u1_struct_0(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_871])]) ).
fof(f9436,plain,
( spl38_914
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_914])]) ).
fof(f3124,plain,
( spl38_407
<=> k7_lattice3(sK37) = g1_orders_2(u1_struct_0(sK37),k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_407])]) ).
fof(f3214,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)),u1_struct_0(sK37),u1_struct_0(sK37)) )
| ~ spl38_248
| ~ spl38_407 ),
inference(superposition,[],[f1883,f3126]) ).
fof(f3126,plain,
( k7_lattice3(sK37) = g1_orders_2(u1_struct_0(sK37),k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)))
| ~ spl38_407 ),
inference(avatar_component_clause,[],[f3124]) ).
fof(f9434,plain,
( ~ spl38_868
| spl38_913
| ~ spl38_248
| ~ spl38_406 ),
inference(avatar_split_clause,[],[f3210,f3119,f1882,f9432,f8387]) ).
fof(f8387,plain,
( spl38_868
<=> m1_relset_1(k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)),u1_struct_0(sK36),u1_struct_0(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_868])]) ).
fof(f9432,plain,
( spl38_913
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_913])]) ).
fof(f3119,plain,
( spl38_406
<=> k7_lattice3(sK36) = g1_orders_2(u1_struct_0(sK36),k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_406])]) ).
fof(f3210,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)),u1_struct_0(sK36),u1_struct_0(sK36)) )
| ~ spl38_248
| ~ spl38_406 ),
inference(superposition,[],[f1883,f3121]) ).
fof(f3121,plain,
( k7_lattice3(sK36) = g1_orders_2(u1_struct_0(sK36),k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)))
| ~ spl38_406 ),
inference(avatar_component_clause,[],[f3119]) ).
fof(f9430,plain,
( ~ spl38_865
| spl38_912
| ~ spl38_248
| ~ spl38_404 ),
inference(avatar_split_clause,[],[f3206,f3109,f1882,f9428,f8373]) ).
fof(f8373,plain,
( spl38_865
<=> m1_relset_1(k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)),u1_struct_0(sK35),u1_struct_0(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_865])]) ).
fof(f9428,plain,
( spl38_912
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_912])]) ).
fof(f3109,plain,
( spl38_404
<=> k7_lattice3(sK35) = g1_orders_2(u1_struct_0(sK35),k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_404])]) ).
fof(f3206,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)),u1_struct_0(sK35),u1_struct_0(sK35)) )
| ~ spl38_248
| ~ spl38_404 ),
inference(superposition,[],[f1883,f3111]) ).
fof(f3111,plain,
( k7_lattice3(sK35) = g1_orders_2(u1_struct_0(sK35),k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)))
| ~ spl38_404 ),
inference(avatar_component_clause,[],[f3109]) ).
fof(f9426,plain,
( ~ spl38_862
| spl38_911
| ~ spl38_248
| ~ spl38_403 ),
inference(avatar_split_clause,[],[f3197,f3104,f1882,f9424,f8359]) ).
fof(f8359,plain,
( spl38_862
<=> m1_relset_1(k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)),u1_struct_0(sK34),u1_struct_0(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_862])]) ).
fof(f9424,plain,
( spl38_911
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_911])]) ).
fof(f3104,plain,
( spl38_403
<=> k7_lattice3(sK34) = g1_orders_2(u1_struct_0(sK34),k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_403])]) ).
fof(f3197,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)),u1_struct_0(sK34),u1_struct_0(sK34)) )
| ~ spl38_248
| ~ spl38_403 ),
inference(superposition,[],[f1883,f3106]) ).
fof(f3106,plain,
( k7_lattice3(sK34) = g1_orders_2(u1_struct_0(sK34),k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)))
| ~ spl38_403 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f9422,plain,
( spl38_910
| ~ spl38_225
| ~ spl38_532
| ~ spl38_564
| ~ spl38_891 ),
inference(avatar_split_clause,[],[f8806,f8645,f4430,f4180,f1737,f9419]) ).
fof(f8645,plain,
( spl38_891
<=> k7_lattice3(sK9) = g1_orders_2(u1_struct_0(k7_lattice3(sK9)),u1_orders_2(k7_lattice3(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_891])]) ).
fof(f8806,plain,
( u1_orders_2(k7_lattice3(sK9)) = k4_relat_1(u1_orders_2(sK9))
| ~ spl38_225
| ~ spl38_532
| ~ spl38_564
| ~ spl38_891 ),
inference(forward_demodulation,[],[f8802,f4603]) ).
fof(f8802,plain,
( k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = u1_orders_2(k7_lattice3(sK9))
| ~ spl38_564
| ~ spl38_891 ),
inference(trivial_inequality_removal,[],[f8783]) ).
fof(f8783,plain,
( k7_lattice3(sK9) != k7_lattice3(sK9)
| k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = u1_orders_2(k7_lattice3(sK9))
| ~ spl38_564
| ~ spl38_891 ),
inference(superposition,[],[f4431,f8647]) ).
fof(f8647,plain,
( k7_lattice3(sK9) = g1_orders_2(u1_struct_0(k7_lattice3(sK9)),u1_orders_2(k7_lattice3(sK9)))
| ~ spl38_891 ),
inference(avatar_component_clause,[],[f8645]) ).
fof(f9417,plain,
( ~ spl38_858
| spl38_909
| ~ spl38_248
| ~ spl38_402 ),
inference(avatar_split_clause,[],[f3193,f3099,f1882,f9415,f8340]) ).
fof(f8340,plain,
( spl38_858
<=> m1_relset_1(k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)),u1_struct_0(sK29),u1_struct_0(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_858])]) ).
fof(f9415,plain,
( spl38_909
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_909])]) ).
fof(f3099,plain,
( spl38_402
<=> k7_lattice3(sK29) = g1_orders_2(u1_struct_0(sK29),k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_402])]) ).
fof(f3193,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)),u1_struct_0(sK29),u1_struct_0(sK29)) )
| ~ spl38_248
| ~ spl38_402 ),
inference(superposition,[],[f1883,f3101]) ).
fof(f3101,plain,
( k7_lattice3(sK29) = g1_orders_2(u1_struct_0(sK29),k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)))
| ~ spl38_402 ),
inference(avatar_component_clause,[],[f3099]) ).
fof(f9029,plain,
( spl38_908
| ~ spl38_95
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3568,f3559,f1051,f9027]) ).
fof(f9027,plain,
( spl38_908
<=> ! [X0] :
( k7_lattice3(k7_lattice3(k7_lattice3(X0))) = g1_orders_2(u1_struct_0(k7_lattice3(k7_lattice3(X0))),k6_relset_1(u1_struct_0(k7_lattice3(k7_lattice3(X0))),u1_struct_0(k7_lattice3(k7_lattice3(X0))),u1_orders_2(k7_lattice3(k7_lattice3(X0)))))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_908])]) ).
fof(f3568,plain,
( ! [X0] :
( k7_lattice3(k7_lattice3(k7_lattice3(X0))) = g1_orders_2(u1_struct_0(k7_lattice3(k7_lattice3(X0))),k6_relset_1(u1_struct_0(k7_lattice3(k7_lattice3(X0))),u1_struct_0(k7_lattice3(k7_lattice3(X0))),u1_orders_2(k7_lattice3(k7_lattice3(X0)))))
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_458 ),
inference(resolution,[],[f3560,f1052]) ).
fof(f9025,plain,
( spl38_907
| ~ spl38_235
| ~ spl38_431 ),
inference(avatar_split_clause,[],[f3434,f3374,f1793,f9023]) ).
fof(f9023,plain,
( spl38_907
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK17(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_907])]) ).
fof(f1793,plain,
( spl38_235
<=> ! [X0,X1] :
( X0 = X1
| r2_hidden(sK23(X0,X1),X1)
| r2_hidden(sK23(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_235])]) ).
fof(f3374,plain,
( spl38_431
<=> ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_431])]) ).
fof(f3434,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK17(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 )
| ~ spl38_235
| ~ spl38_431 ),
inference(resolution,[],[f3375,f1794]) ).
fof(f1794,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| r2_hidden(sK23(X0,X1),X0)
| X0 = X1 )
| ~ spl38_235 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f3375,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK17(X0))
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_431 ),
inference(avatar_component_clause,[],[f3374]) ).
fof(f9021,plain,
( spl38_906
| ~ spl38_398
| ~ spl38_431 ),
inference(avatar_split_clause,[],[f3432,f3374,f3083,f9019]) ).
fof(f9019,plain,
( spl38_906
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK17(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_906])]) ).
fof(f3432,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK17(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 )
| ~ spl38_398
| ~ spl38_431 ),
inference(resolution,[],[f3375,f3084]) ).
fof(f9017,plain,
( spl38_905
| ~ spl38_235
| ~ spl38_431 ),
inference(avatar_split_clause,[],[f3431,f3374,f1793,f9015]) ).
fof(f9015,plain,
( spl38_905
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_905])]) ).
fof(f3431,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 )
| ~ spl38_235
| ~ spl38_431 ),
inference(resolution,[],[f3375,f1794]) ).
fof(f9013,plain,
( spl38_904
| ~ spl38_400
| ~ spl38_431 ),
inference(avatar_split_clause,[],[f3429,f3374,f3091,f9011]) ).
fof(f9011,plain,
( spl38_904
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_904])]) ).
fof(f3429,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 )
| ~ spl38_400
| ~ spl38_431 ),
inference(resolution,[],[f3375,f3092]) ).
fof(f9009,plain,
( spl38_903
| ~ spl38_235
| ~ spl38_430 ),
inference(avatar_split_clause,[],[f3427,f3370,f1793,f9007]) ).
fof(f9007,plain,
( spl38_903
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK16(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_903])]) ).
fof(f3370,plain,
( spl38_430
<=> ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_430])]) ).
fof(f3427,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK16(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 )
| ~ spl38_235
| ~ spl38_430 ),
inference(resolution,[],[f3371,f1794]) ).
fof(f3371,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK16(X0))
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_430 ),
inference(avatar_component_clause,[],[f3370]) ).
fof(f9005,plain,
( spl38_902
| ~ spl38_398
| ~ spl38_430 ),
inference(avatar_split_clause,[],[f3425,f3370,f3083,f9003]) ).
fof(f9003,plain,
( spl38_902
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK16(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_902])]) ).
fof(f3425,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK16(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 )
| ~ spl38_398
| ~ spl38_430 ),
inference(resolution,[],[f3371,f3084]) ).
fof(f9001,plain,
( spl38_901
| ~ spl38_235
| ~ spl38_430 ),
inference(avatar_split_clause,[],[f3424,f3370,f1793,f8999]) ).
fof(f8999,plain,
( spl38_901
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_901])]) ).
fof(f3424,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 )
| ~ spl38_235
| ~ spl38_430 ),
inference(resolution,[],[f3371,f1794]) ).
fof(f8997,plain,
( spl38_900
| ~ spl38_400
| ~ spl38_430 ),
inference(avatar_split_clause,[],[f3422,f3370,f3091,f8995]) ).
fof(f8995,plain,
( spl38_900
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_900])]) ).
fof(f3422,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 )
| ~ spl38_400
| ~ spl38_430 ),
inference(resolution,[],[f3371,f3092]) ).
fof(f8993,plain,
( spl38_899
| ~ spl38_518
| ~ spl38_891 ),
inference(avatar_split_clause,[],[f8803,f8645,f4104,f8990]) ).
fof(f8803,plain,
( u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK9))
| ~ spl38_518
| ~ spl38_891 ),
inference(trivial_inequality_removal,[],[f8782]) ).
fof(f8782,plain,
( k7_lattice3(sK9) != k7_lattice3(sK9)
| u1_struct_0(sK9) = u1_struct_0(k7_lattice3(sK9))
| ~ spl38_518
| ~ spl38_891 ),
inference(superposition,[],[f4105,f8647]) ).
fof(f8988,plain,
( spl38_898
| ~ spl38_220
| ~ spl38_298 ),
inference(avatar_split_clause,[],[f2345,f2316,f1717,f8986]) ).
fof(f8986,plain,
( spl38_898
<=> ! [X0] :
( g1_orders_2(X0,sK24(X0,X0)) = g1_orders_2(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_orders_2(g1_orders_2(X0,sK24(X0,X0))))
| ~ l1_orders_2(g1_orders_2(X0,sK24(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_898])]) ).
fof(f1717,plain,
( spl38_220
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_220])]) ).
fof(f2316,plain,
( spl38_298
<=> ! [X0] : v1_orders_2(g1_orders_2(X0,sK24(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_298])]) ).
fof(f2345,plain,
( ! [X0] :
( g1_orders_2(X0,sK24(X0,X0)) = g1_orders_2(u1_struct_0(g1_orders_2(X0,sK24(X0,X0))),u1_orders_2(g1_orders_2(X0,sK24(X0,X0))))
| ~ l1_orders_2(g1_orders_2(X0,sK24(X0,X0))) )
| ~ spl38_220
| ~ spl38_298 ),
inference(resolution,[],[f2317,f1718]) ).
fof(f1718,plain,
( ! [X0] :
( ~ v1_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0
| ~ l1_orders_2(X0) )
| ~ spl38_220 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f2317,plain,
( ! [X0] : v1_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ spl38_298 ),
inference(avatar_component_clause,[],[f2316]) ).
fof(f8822,plain,
( spl38_897
| ~ spl38_224
| ~ spl38_465 ),
inference(avatar_split_clause,[],[f3641,f3601,f1733,f8820]) ).
fof(f8820,plain,
( spl38_897
<=> ! [X0,X1] :
( ~ r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0)
| ~ sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| a_1_0_waybel_0(X1) = X0
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_897])]) ).
fof(f1733,plain,
( spl38_224
<=> ! [X0,X1] :
( sP8(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_224])]) ).
fof(f3601,plain,
( spl38_465
<=> ! [X0,X1] :
( a_1_0_waybel_0(X1) = X0
| ~ r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0)
| ~ sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_465])]) ).
fof(f3641,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0)
| ~ sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| a_1_0_waybel_0(X1) = X0
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_224
| ~ spl38_465 ),
inference(resolution,[],[f3602,f1734]) ).
fof(f1734,plain,
( ! [X0,X1] :
( sP8(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_224 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f3602,plain,
( ! [X0,X1] :
( ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1)))
| ~ r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0)
| ~ sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| a_1_0_waybel_0(X1) = X0 )
| ~ spl38_465 ),
inference(avatar_component_clause,[],[f3601]) ).
fof(f8818,plain,
( spl38_896
| ~ spl38_223
| ~ spl38_464 ),
inference(avatar_split_clause,[],[f3640,f3597,f1729,f8816]) ).
fof(f8816,plain,
( spl38_896
<=> ! [X0,X1] :
( ~ r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0)
| ~ sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| a_1_1_waybel_0(X1) = X0
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_896])]) ).
fof(f1729,plain,
( spl38_223
<=> ! [X0,X1] :
( sP6(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_223])]) ).
fof(f3597,plain,
( spl38_464
<=> ! [X0,X1] :
( a_1_1_waybel_0(X1) = X0
| ~ r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0)
| ~ sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_464])]) ).
fof(f3640,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0)
| ~ sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| a_1_1_waybel_0(X1) = X0
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_223
| ~ spl38_464 ),
inference(resolution,[],[f3598,f1730]) ).
fof(f1730,plain,
( ! [X0,X1] :
( sP6(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_223 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f3598,plain,
( ! [X0,X1] :
( ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1)))
| ~ r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0)
| ~ sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| a_1_1_waybel_0(X1) = X0 )
| ~ spl38_464 ),
inference(avatar_component_clause,[],[f3597]) ).
fof(f8814,plain,
( spl38_895
| ~ spl38_224
| ~ spl38_462 ),
inference(avatar_split_clause,[],[f3639,f3588,f1733,f8812]) ).
fof(f8812,plain,
( spl38_895
<=> ! [X0,X1] :
( a_1_0_waybel_0(X0) = X1
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| r2_hidden(sK23(a_1_0_waybel_0(X0),X1),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_895])]) ).
fof(f3588,plain,
( spl38_462
<=> ! [X0,X1] :
( r2_hidden(sK23(a_1_0_waybel_0(X0),X1),X1)
| a_1_0_waybel_0(X0) = X1
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| ~ sP8(X0,sK23(a_1_0_waybel_0(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_462])]) ).
fof(f3639,plain,
( ! [X0,X1] :
( a_1_0_waybel_0(X0) = X1
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| r2_hidden(sK23(a_1_0_waybel_0(X0),X1),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_224
| ~ spl38_462 ),
inference(resolution,[],[f3589,f1734]) ).
fof(f3589,plain,
( ! [X0,X1] :
( ~ sP8(X0,sK23(a_1_0_waybel_0(X0),X1))
| a_1_0_waybel_0(X0) = X1
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| r2_hidden(sK23(a_1_0_waybel_0(X0),X1),X1) )
| ~ spl38_462 ),
inference(avatar_component_clause,[],[f3588]) ).
fof(f8764,plain,
( spl38_894
| ~ spl38_223
| ~ spl38_461 ),
inference(avatar_split_clause,[],[f3638,f3584,f1729,f8762]) ).
fof(f8762,plain,
( spl38_894
<=> ! [X0,X1] :
( a_1_1_waybel_0(X0) = X1
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| r2_hidden(sK23(a_1_1_waybel_0(X0),X1),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_894])]) ).
fof(f3584,plain,
( spl38_461
<=> ! [X0,X1] :
( r2_hidden(sK23(a_1_1_waybel_0(X0),X1),X1)
| a_1_1_waybel_0(X0) = X1
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| ~ sP6(X0,sK23(a_1_1_waybel_0(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_461])]) ).
fof(f3638,plain,
( ! [X0,X1] :
( a_1_1_waybel_0(X0) = X1
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| r2_hidden(sK23(a_1_1_waybel_0(X0),X1),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_223
| ~ spl38_461 ),
inference(resolution,[],[f3585,f1730]) ).
fof(f3585,plain,
( ! [X0,X1] :
( ~ sP6(X0,sK23(a_1_1_waybel_0(X0),X1))
| a_1_1_waybel_0(X0) = X1
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| r2_hidden(sK23(a_1_1_waybel_0(X0),X1),X1) )
| ~ spl38_461 ),
inference(avatar_component_clause,[],[f3584]) ).
fof(f8760,plain,
( spl38_893
| ~ spl38_224
| ~ spl38_460 ),
inference(avatar_split_clause,[],[f3637,f3580,f1733,f8758]) ).
fof(f8758,plain,
( spl38_893
<=> ! [X0,X1] :
( a_1_0_waybel_0(X0) = X1
| sP7(sK23(X1,a_1_0_waybel_0(X0)),X0)
| r2_hidden(sK23(X1,a_1_0_waybel_0(X0)),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_893])]) ).
fof(f3580,plain,
( spl38_460
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0)
| a_1_0_waybel_0(X1) = X0
| sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_460])]) ).
fof(f3637,plain,
( ! [X0,X1] :
( a_1_0_waybel_0(X0) = X1
| sP7(sK23(X1,a_1_0_waybel_0(X0)),X0)
| r2_hidden(sK23(X1,a_1_0_waybel_0(X0)),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_224
| ~ spl38_460 ),
inference(resolution,[],[f3581,f1734]) ).
fof(f3581,plain,
( ! [X0,X1] :
( ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1)))
| a_1_0_waybel_0(X1) = X0
| sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0) )
| ~ spl38_460 ),
inference(avatar_component_clause,[],[f3580]) ).
fof(f8756,plain,
( spl38_892
| ~ spl38_223
| ~ spl38_459 ),
inference(avatar_split_clause,[],[f3632,f3576,f1729,f8754]) ).
fof(f8754,plain,
( spl38_892
<=> ! [X0,X1] :
( a_1_1_waybel_0(X0) = X1
| sP5(sK23(X1,a_1_1_waybel_0(X0)),X0)
| r2_hidden(sK23(X1,a_1_1_waybel_0(X0)),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_892])]) ).
fof(f3576,plain,
( spl38_459
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0)
| a_1_1_waybel_0(X1) = X0
| sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_459])]) ).
fof(f3632,plain,
( ! [X0,X1] :
( a_1_1_waybel_0(X0) = X1
| sP5(sK23(X1,a_1_1_waybel_0(X0)),X0)
| r2_hidden(sK23(X1,a_1_1_waybel_0(X0)),X1)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_223
| ~ spl38_459 ),
inference(resolution,[],[f3577,f1730]) ).
fof(f3577,plain,
( ! [X0,X1] :
( ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1)))
| a_1_1_waybel_0(X1) = X0
| sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0) )
| ~ spl38_459 ),
inference(avatar_component_clause,[],[f3576]) ).
fof(f8648,plain,
( spl38_891
| ~ spl38_6
| ~ spl38_629 ),
inference(avatar_split_clause,[],[f5074,f5061,f622,f8645]) ).
fof(f5061,plain,
( spl38_629
<=> ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_629])]) ).
fof(f5074,plain,
( k7_lattice3(sK9) = g1_orders_2(u1_struct_0(k7_lattice3(sK9)),u1_orders_2(k7_lattice3(sK9)))
| ~ spl38_6
| ~ spl38_629 ),
inference(resolution,[],[f5062,f624]) ).
fof(f624,plain,
( l1_orders_2(sK9)
| ~ spl38_6 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f5062,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0))) )
| ~ spl38_629 ),
inference(avatar_component_clause,[],[f5061]) ).
fof(f8532,plain,
( spl38_890
| ~ spl38_102
| ~ spl38_481 ),
inference(avatar_split_clause,[],[f3699,f3688,f1080,f8530]) ).
fof(f8530,plain,
( spl38_890
<=> ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_890])]) ).
fof(f3688,plain,
( spl38_481
<=> ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_481])]) ).
fof(f3699,plain,
( ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_102
| ~ spl38_481 ),
inference(duplicate_literal_removal,[],[f3698]) ).
fof(f3698,plain,
( ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0)
| ~ sP2(X0) )
| ~ spl38_102
| ~ spl38_481 ),
inference(resolution,[],[f3689,f1081]) ).
fof(f3689,plain,
( ! [X0] :
( ~ v1_yellow_0(k7_lattice3(X0))
| ~ v24_waybel_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_481 ),
inference(avatar_component_clause,[],[f3688]) ).
fof(f8528,plain,
( spl38_889
| ~ spl38_69
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3566,f3559,f935,f8526]) ).
fof(f3566,plain,
( ! [X0] : k7_lattice3(k7_lattice3(k2_yellow_1(X0))) = g1_orders_2(u1_struct_0(k7_lattice3(k2_yellow_1(X0))),k6_relset_1(u1_struct_0(k7_lattice3(k2_yellow_1(X0))),u1_struct_0(k7_lattice3(k2_yellow_1(X0))),u1_orders_2(k7_lattice3(k2_yellow_1(X0)))))
| ~ spl38_69
| ~ spl38_458 ),
inference(resolution,[],[f3560,f936]) ).
fof(f8491,plain,
( spl38_888
| ~ spl38_69
| ~ spl38_642
| ~ spl38_887 ),
inference(avatar_split_clause,[],[f8487,f8484,f5136,f935,f8489]) ).
fof(f8489,plain,
( spl38_888
<=> ! [X2,X0,X1] :
( k4_relat_1(u1_orders_2(k2_yellow_1(X0))) = X2
| k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| ~ m1_relset_1(X2,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_888])]) ).
fof(f8484,plain,
( spl38_887
<=> ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) = X2
| ~ m1_relset_1(X2,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_887])]) ).
fof(f8487,plain,
( ! [X2,X0,X1] :
( k4_relat_1(u1_orders_2(k2_yellow_1(X0))) = X2
| k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| ~ m1_relset_1(X2,X1,X1) )
| ~ spl38_69
| ~ spl38_642
| ~ spl38_887 ),
inference(forward_demodulation,[],[f8485,f5299]) ).
fof(f8485,plain,
( ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) = X2
| ~ m1_relset_1(X2,X1,X1) )
| ~ spl38_887 ),
inference(avatar_component_clause,[],[f8484]) ).
fof(f8486,plain,
( spl38_887
| ~ spl38_248
| ~ spl38_450 ),
inference(avatar_split_clause,[],[f3518,f3503,f1882,f8484]) ).
fof(f3518,plain,
( ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) = X2
| ~ m1_relset_1(X2,X1,X1) )
| ~ spl38_248
| ~ spl38_450 ),
inference(superposition,[],[f1883,f3504]) ).
fof(f8482,plain,
( spl38_886
| ~ spl38_375
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3181,f3091,f2924,f8480]) ).
fof(f8480,plain,
( spl38_886
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK22(X1,X2)),X0)
| sK22(X1,X2) = X0
| m1_subset_1(sK23(X0,sK22(X1,X2)),u1_struct_0(X2))
| ~ sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_886])]) ).
fof(f2924,plain,
( spl38_375
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK22(X2,X1))
| ~ sP7(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_375])]) ).
fof(f3181,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK22(X1,X2)),X0)
| sK22(X1,X2) = X0
| m1_subset_1(sK23(X0,sK22(X1,X2)),u1_struct_0(X2))
| ~ sP7(X1,X2) )
| ~ spl38_375
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2925]) ).
fof(f2925,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK22(X2,X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ sP7(X2,X1) )
| ~ spl38_375 ),
inference(avatar_component_clause,[],[f2924]) ).
fof(f8478,plain,
( spl38_885
| ~ spl38_374
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3179,f3091,f2920,f8476]) ).
fof(f8476,plain,
( spl38_885
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK21(X1,X2)),X0)
| sK21(X1,X2) = X0
| m1_subset_1(sK23(X0,sK21(X1,X2)),u1_struct_0(X2))
| ~ sP5(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_885])]) ).
fof(f2920,plain,
( spl38_374
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK21(X2,X1))
| ~ sP5(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_374])]) ).
fof(f3179,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK21(X1,X2)),X0)
| sK21(X1,X2) = X0
| m1_subset_1(sK23(X0,sK21(X1,X2)),u1_struct_0(X2))
| ~ sP5(X1,X2) )
| ~ spl38_374
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2921]) ).
fof(f2921,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK21(X2,X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ sP5(X2,X1) )
| ~ spl38_374 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f8474,plain,
( spl38_884
| ~ spl38_375
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3151,f3083,f2924,f8472]) ).
fof(f8472,plain,
( spl38_884
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(sK22(X0,X1),X2),X2)
| sK22(X0,X1) = X2
| m1_subset_1(sK23(sK22(X0,X1),X2),u1_struct_0(X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_884])]) ).
fof(f3151,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(sK22(X0,X1),X2),X2)
| sK22(X0,X1) = X2
| m1_subset_1(sK23(sK22(X0,X1),X2),u1_struct_0(X1))
| ~ sP7(X0,X1) )
| ~ spl38_375
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2925]) ).
fof(f8470,plain,
( spl38_883
| ~ spl38_374
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3149,f3083,f2920,f8468]) ).
fof(f8468,plain,
( spl38_883
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(sK21(X0,X1),X2),X2)
| sK21(X0,X1) = X2
| m1_subset_1(sK23(sK21(X0,X1),X2),u1_struct_0(X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_883])]) ).
fof(f3149,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(sK21(X0,X1),X2),X2)
| sK21(X0,X1) = X2
| m1_subset_1(sK23(sK21(X0,X1),X2),u1_struct_0(X1))
| ~ sP5(X0,X1) )
| ~ spl38_374
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2921]) ).
fof(f8466,plain,
( spl38_882
| ~ spl38_235
| ~ spl38_375 ),
inference(avatar_split_clause,[],[f3073,f2924,f1793,f8464]) ).
fof(f8464,plain,
( spl38_882
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(sK22(X0,X1),X2),u1_struct_0(X1))
| ~ sP7(X0,X1)
| r2_hidden(sK23(sK22(X0,X1),X2),X2)
| sK22(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_882])]) ).
fof(f3073,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(sK22(X0,X1),X2),u1_struct_0(X1))
| ~ sP7(X0,X1)
| r2_hidden(sK23(sK22(X0,X1),X2),X2)
| sK22(X0,X1) = X2 )
| ~ spl38_235
| ~ spl38_375 ),
inference(resolution,[],[f2925,f1794]) ).
fof(f8462,plain,
( spl38_881
| ~ spl38_235
| ~ spl38_375 ),
inference(avatar_split_clause,[],[f3071,f2924,f1793,f8460]) ).
fof(f8460,plain,
( spl38_881
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK22(X1,X2)),u1_struct_0(X2))
| ~ sP7(X1,X2)
| r2_hidden(sK23(X0,sK22(X1,X2)),X0)
| sK22(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_881])]) ).
fof(f3071,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK22(X1,X2)),u1_struct_0(X2))
| ~ sP7(X1,X2)
| r2_hidden(sK23(X0,sK22(X1,X2)),X0)
| sK22(X1,X2) = X0 )
| ~ spl38_235
| ~ spl38_375 ),
inference(resolution,[],[f2925,f1794]) ).
fof(f8458,plain,
( spl38_880
| ~ spl38_235
| ~ spl38_374 ),
inference(avatar_split_clause,[],[f3063,f2920,f1793,f8456]) ).
fof(f8456,plain,
( spl38_880
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(sK21(X0,X1),X2),u1_struct_0(X1))
| ~ sP5(X0,X1)
| r2_hidden(sK23(sK21(X0,X1),X2),X2)
| sK21(X0,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_880])]) ).
fof(f3063,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(sK21(X0,X1),X2),u1_struct_0(X1))
| ~ sP5(X0,X1)
| r2_hidden(sK23(sK21(X0,X1),X2),X2)
| sK21(X0,X1) = X2 )
| ~ spl38_235
| ~ spl38_374 ),
inference(resolution,[],[f2921,f1794]) ).
fof(f8454,plain,
( spl38_879
| ~ spl38_235
| ~ spl38_374 ),
inference(avatar_split_clause,[],[f3061,f2920,f1793,f8452]) ).
fof(f8452,plain,
( spl38_879
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK21(X1,X2)),u1_struct_0(X2))
| ~ sP5(X1,X2)
| r2_hidden(sK23(X0,sK21(X1,X2)),X0)
| sK21(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_879])]) ).
fof(f3061,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK21(X1,X2)),u1_struct_0(X2))
| ~ sP5(X1,X2)
| r2_hidden(sK23(X0,sK21(X1,X2)),X0)
| sK21(X1,X2) = X0 )
| ~ spl38_235
| ~ spl38_374 ),
inference(resolution,[],[f2921,f1794]) ).
fof(f8438,plain,
( spl38_756
| ~ spl38_878
| ~ spl38_407
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4260,f4104,f3124,f8435,f6384]) ).
fof(f6384,plain,
( spl38_756
<=> u1_struct_0(sK37) = u1_struct_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_756])]) ).
fof(f8435,plain,
( spl38_878
<=> k7_lattice3(sK9) = k7_lattice3(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_878])]) ).
fof(f4260,plain,
( k7_lattice3(sK9) != k7_lattice3(sK37)
| u1_struct_0(sK37) = u1_struct_0(sK9)
| ~ spl38_407
| ~ spl38_518 ),
inference(superposition,[],[f4105,f3126]) ).
fof(f8429,plain,
( spl38_877
| ~ spl38_69
| ~ spl38_480 ),
inference(avatar_split_clause,[],[f3691,f3684,f935,f8427]) ).
fof(f8427,plain,
( spl38_877
<=> ! [X0] :
( ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| sP1(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_877])]) ).
fof(f3684,plain,
( spl38_480
<=> ! [X0] :
( sP1(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_480])]) ).
fof(f3691,plain,
( ! [X0] :
( ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| sP1(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_69
| ~ spl38_480 ),
inference(resolution,[],[f3685,f936]) ).
fof(f3685,plain,
( ! [X0] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| sP1(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_480 ),
inference(avatar_component_clause,[],[f3684]) ).
fof(f8425,plain,
( spl38_876
| ~ spl38_128
| ~ spl38_449 ),
inference(avatar_split_clause,[],[f3516,f3499,f1194,f8423]) ).
fof(f8423,plain,
( spl38_876
<=> ! [X0] :
( ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| sP4(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_876])]) ).
fof(f1194,plain,
( spl38_128
<=> ! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_128])]) ).
fof(f3499,plain,
( spl38_449
<=> ! [X0] :
( sP4(k2_yellow_1(X0))
| ~ v2_yellow_0(k2_yellow_1(X0))
| ~ v2_lattice3(k2_yellow_1(X0))
| ~ v4_orders_2(k2_yellow_1(X0))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_449])]) ).
fof(f3516,plain,
( ! [X0] :
( ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| sP4(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_128
| ~ spl38_449 ),
inference(resolution,[],[f3500,f1195]) ).
fof(f1195,plain,
( ! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_128 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f3500,plain,
( ! [X0] :
( ~ v2_lattice3(k2_yellow_1(X0))
| ~ v2_yellow_0(k2_yellow_1(X0))
| sP4(k2_yellow_1(X0))
| ~ v4_orders_2(k2_yellow_1(X0))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0)) )
| ~ spl38_449 ),
inference(avatar_component_clause,[],[f3499]) ).
fof(f8421,plain,
( spl38_875
| ~ spl38_334
| ~ spl38_419 ),
inference(avatar_split_clause,[],[f3332,f3301,f2601,f8419]) ).
fof(f8419,plain,
( spl38_875
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_1_1_waybel_0(X2),X0,X1)
| ~ sP6(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ sP5(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_875])]) ).
fof(f2601,plain,
( spl38_334
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ sP6(X1,X0)
| ~ r2_hidden(a_1_1_waybel_0(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_334])]) ).
fof(f3332,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_1_1_waybel_0(X2),X0,X1)
| ~ sP6(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ sP5(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl38_334
| ~ spl38_419 ),
inference(resolution,[],[f3302,f2602]) ).
fof(f2602,plain,
( ! [X0,X1] :
( ~ r2_hidden(a_1_1_waybel_0(X1),X0)
| ~ sP6(X1,X0)
| ~ sP5(X0,X1) )
| ~ spl38_334 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f8417,plain,
( spl38_874
| ~ spl38_336
| ~ spl38_419 ),
inference(avatar_split_clause,[],[f3331,f3301,f2609,f8415]) ).
fof(f8415,plain,
( spl38_874
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_1_0_waybel_0(X2),X0,X1)
| ~ sP8(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ sP7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_874])]) ).
fof(f2609,plain,
( spl38_336
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ sP8(X1,X0)
| ~ r2_hidden(a_1_0_waybel_0(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_336])]) ).
fof(f3331,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(a_1_0_waybel_0(X2),X0,X1)
| ~ sP8(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ sP7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl38_336
| ~ spl38_419 ),
inference(resolution,[],[f3302,f2610]) ).
fof(f2610,plain,
( ! [X0,X1] :
( ~ r2_hidden(a_1_0_waybel_0(X1),X0)
| ~ sP8(X1,X0)
| ~ sP7(X0,X1) )
| ~ spl38_336 ),
inference(avatar_component_clause,[],[f2609]) ).
fof(f8413,plain,
( ~ spl38_873
| ~ spl38_53
| ~ spl38_642
| spl38_871 ),
inference(avatar_split_clause,[],[f8408,f8401,f5136,f857,f8410]) ).
fof(f8410,plain,
( spl38_873
<=> m1_relset_1(k4_relat_1(u1_orders_2(sK37)),u1_struct_0(sK37),u1_struct_0(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_873])]) ).
fof(f8408,plain,
( ~ m1_relset_1(k4_relat_1(u1_orders_2(sK37)),u1_struct_0(sK37),u1_struct_0(sK37))
| ~ spl38_53
| ~ spl38_642
| spl38_871 ),
inference(forward_demodulation,[],[f8403,f5312]) ).
fof(f5312,plain,
( k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)) = k4_relat_1(u1_orders_2(sK37))
| ~ spl38_53
| ~ spl38_642 ),
inference(resolution,[],[f5137,f859]) ).
fof(f859,plain,
( l1_orders_2(sK37)
| ~ spl38_53 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f8403,plain,
( ~ m1_relset_1(k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)),u1_struct_0(sK37),u1_struct_0(sK37))
| spl38_871 ),
inference(avatar_component_clause,[],[f8401]) ).
fof(f8407,plain,
( ~ spl38_871
| spl38_872
| ~ spl38_247
| ~ spl38_407 ),
inference(avatar_split_clause,[],[f3216,f3124,f1878,f8405,f8401]) ).
fof(f8405,plain,
( spl38_872
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| u1_struct_0(sK37) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_872])]) ).
fof(f3216,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| u1_struct_0(sK37) = X0
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)),u1_struct_0(sK37),u1_struct_0(sK37)) )
| ~ spl38_247
| ~ spl38_407 ),
inference(superposition,[],[f1879,f3126]) ).
fof(f8399,plain,
( ~ spl38_870
| ~ spl38_44
| ~ spl38_642
| spl38_868 ),
inference(avatar_split_clause,[],[f8394,f8387,f5136,f812,f8396]) ).
fof(f8396,plain,
( spl38_870
<=> m1_relset_1(k4_relat_1(u1_orders_2(sK36)),u1_struct_0(sK36),u1_struct_0(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_870])]) ).
fof(f8394,plain,
( ~ m1_relset_1(k4_relat_1(u1_orders_2(sK36)),u1_struct_0(sK36),u1_struct_0(sK36))
| ~ spl38_44
| ~ spl38_642
| spl38_868 ),
inference(forward_demodulation,[],[f8389,f5311]) ).
fof(f5311,plain,
( k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)) = k4_relat_1(u1_orders_2(sK36))
| ~ spl38_44
| ~ spl38_642 ),
inference(resolution,[],[f5137,f814]) ).
fof(f814,plain,
( l1_orders_2(sK36)
| ~ spl38_44 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f8389,plain,
( ~ m1_relset_1(k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)),u1_struct_0(sK36),u1_struct_0(sK36))
| spl38_868 ),
inference(avatar_component_clause,[],[f8387]) ).
fof(f8393,plain,
( ~ spl38_868
| spl38_869
| ~ spl38_247
| ~ spl38_406 ),
inference(avatar_split_clause,[],[f3212,f3119,f1878,f8391,f8387]) ).
fof(f8391,plain,
( spl38_869
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| u1_struct_0(sK36) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_869])]) ).
fof(f3212,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| u1_struct_0(sK36) = X0
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)),u1_struct_0(sK36),u1_struct_0(sK36)) )
| ~ spl38_247
| ~ spl38_406 ),
inference(superposition,[],[f1879,f3121]) ).
fof(f8385,plain,
( ~ spl38_867
| ~ spl38_37
| ~ spl38_642
| spl38_865 ),
inference(avatar_split_clause,[],[f8380,f8373,f5136,f777,f8382]) ).
fof(f8382,plain,
( spl38_867
<=> m1_relset_1(k4_relat_1(u1_orders_2(sK35)),u1_struct_0(sK35),u1_struct_0(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_867])]) ).
fof(f8380,plain,
( ~ m1_relset_1(k4_relat_1(u1_orders_2(sK35)),u1_struct_0(sK35),u1_struct_0(sK35))
| ~ spl38_37
| ~ spl38_642
| spl38_865 ),
inference(forward_demodulation,[],[f8375,f5310]) ).
fof(f5310,plain,
( k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)) = k4_relat_1(u1_orders_2(sK35))
| ~ spl38_37
| ~ spl38_642 ),
inference(resolution,[],[f5137,f779]) ).
fof(f779,plain,
( l1_orders_2(sK35)
| ~ spl38_37 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f8375,plain,
( ~ m1_relset_1(k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)),u1_struct_0(sK35),u1_struct_0(sK35))
| spl38_865 ),
inference(avatar_component_clause,[],[f8373]) ).
fof(f8379,plain,
( ~ spl38_865
| spl38_866
| ~ spl38_247
| ~ spl38_404 ),
inference(avatar_split_clause,[],[f3208,f3109,f1878,f8377,f8373]) ).
fof(f8377,plain,
( spl38_866
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| u1_struct_0(sK35) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_866])]) ).
fof(f3208,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| u1_struct_0(sK35) = X0
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)),u1_struct_0(sK35),u1_struct_0(sK35)) )
| ~ spl38_247
| ~ spl38_404 ),
inference(superposition,[],[f1879,f3111]) ).
fof(f8371,plain,
( ~ spl38_864
| ~ spl38_26
| ~ spl38_642
| spl38_862 ),
inference(avatar_split_clause,[],[f8366,f8359,f5136,f722,f8368]) ).
fof(f8368,plain,
( spl38_864
<=> m1_relset_1(k4_relat_1(u1_orders_2(sK34)),u1_struct_0(sK34),u1_struct_0(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_864])]) ).
fof(f8366,plain,
( ~ m1_relset_1(k4_relat_1(u1_orders_2(sK34)),u1_struct_0(sK34),u1_struct_0(sK34))
| ~ spl38_26
| ~ spl38_642
| spl38_862 ),
inference(forward_demodulation,[],[f8361,f5309]) ).
fof(f5309,plain,
( k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)) = k4_relat_1(u1_orders_2(sK34))
| ~ spl38_26
| ~ spl38_642 ),
inference(resolution,[],[f5137,f724]) ).
fof(f724,plain,
( l1_orders_2(sK34)
| ~ spl38_26 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f8361,plain,
( ~ m1_relset_1(k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)),u1_struct_0(sK34),u1_struct_0(sK34))
| spl38_862 ),
inference(avatar_component_clause,[],[f8359]) ).
fof(f8365,plain,
( ~ spl38_862
| spl38_863
| ~ spl38_247
| ~ spl38_403 ),
inference(avatar_split_clause,[],[f3199,f3104,f1878,f8363,f8359]) ).
fof(f8363,plain,
( spl38_863
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| u1_struct_0(sK34) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_863])]) ).
fof(f3199,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| u1_struct_0(sK34) = X0
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)),u1_struct_0(sK34),u1_struct_0(sK34)) )
| ~ spl38_247
| ~ spl38_403 ),
inference(superposition,[],[f1879,f3106]) ).
fof(f8357,plain,
( spl38_722
| ~ spl38_861
| ~ spl38_406
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4258,f4104,f3119,f8354,f6036]) ).
fof(f6036,plain,
( spl38_722
<=> u1_struct_0(sK36) = u1_struct_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_722])]) ).
fof(f8354,plain,
( spl38_861
<=> k7_lattice3(sK9) = k7_lattice3(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_861])]) ).
fof(f4258,plain,
( k7_lattice3(sK9) != k7_lattice3(sK36)
| u1_struct_0(sK36) = u1_struct_0(sK9)
| ~ spl38_406
| ~ spl38_518 ),
inference(superposition,[],[f4105,f3121]) ).
fof(f8352,plain,
( ~ spl38_860
| ~ spl38_15
| ~ spl38_642
| spl38_858 ),
inference(avatar_split_clause,[],[f8347,f8340,f5136,f667,f8349]) ).
fof(f8349,plain,
( spl38_860
<=> m1_relset_1(k4_relat_1(u1_orders_2(sK29)),u1_struct_0(sK29),u1_struct_0(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_860])]) ).
fof(f667,plain,
( spl38_15
<=> l1_orders_2(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_15])]) ).
fof(f8347,plain,
( ~ m1_relset_1(k4_relat_1(u1_orders_2(sK29)),u1_struct_0(sK29),u1_struct_0(sK29))
| ~ spl38_15
| ~ spl38_642
| spl38_858 ),
inference(forward_demodulation,[],[f8342,f5308]) ).
fof(f5308,plain,
( k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)) = k4_relat_1(u1_orders_2(sK29))
| ~ spl38_15
| ~ spl38_642 ),
inference(resolution,[],[f5137,f669]) ).
fof(f669,plain,
( l1_orders_2(sK29)
| ~ spl38_15 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f8342,plain,
( ~ m1_relset_1(k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)),u1_struct_0(sK29),u1_struct_0(sK29))
| spl38_858 ),
inference(avatar_component_clause,[],[f8340]) ).
fof(f8346,plain,
( ~ spl38_858
| spl38_859
| ~ spl38_247
| ~ spl38_402 ),
inference(avatar_split_clause,[],[f3195,f3099,f1878,f8344,f8340]) ).
fof(f8344,plain,
( spl38_859
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| u1_struct_0(sK29) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_859])]) ).
fof(f3195,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| u1_struct_0(sK29) = X0
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)),u1_struct_0(sK29),u1_struct_0(sK29)) )
| ~ spl38_247
| ~ spl38_402 ),
inference(superposition,[],[f1879,f3101]) ).
fof(f8338,plain,
( spl38_857
| ~ spl38_209
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3166,f3091,f1612,f8336]) ).
fof(f8336,plain,
( spl38_857
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,a_1_1_waybel_0(X1)),X0)
| a_1_1_waybel_0(X1) = X0
| sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_857])]) ).
fof(f1612,plain,
( spl38_209
<=> ! [X0,X1] :
( sP5(X1,X0)
| ~ r2_hidden(X1,a_1_1_waybel_0(X0))
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_209])]) ).
fof(f3166,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,a_1_1_waybel_0(X1)),X0)
| a_1_1_waybel_0(X1) = X0
| sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) )
| ~ spl38_209
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1613]) ).
fof(f1613,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,a_1_1_waybel_0(X0))
| sP5(X1,X0)
| ~ sP6(X0,X1) )
| ~ spl38_209 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f8334,plain,
( spl38_856
| ~ spl38_212
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3165,f3091,f1624,f8332]) ).
fof(f8332,plain,
( spl38_856
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,a_1_0_waybel_0(X1)),X0)
| a_1_0_waybel_0(X1) = X0
| sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_856])]) ).
fof(f1624,plain,
( spl38_212
<=> ! [X0,X1] :
( sP7(X1,X0)
| ~ r2_hidden(X1,a_1_0_waybel_0(X0))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_212])]) ).
fof(f3165,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,a_1_0_waybel_0(X1)),X0)
| a_1_0_waybel_0(X1) = X0
| sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) )
| ~ spl38_212
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1625]) ).
fof(f1625,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,a_1_0_waybel_0(X0))
| sP7(X1,X0)
| ~ sP8(X0,X1) )
| ~ spl38_212 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f8330,plain,
( spl38_855
| ~ spl38_209
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3136,f3083,f1612,f8328]) ).
fof(f8328,plain,
( spl38_855
<=> ! [X0,X1] :
( m1_subset_1(sK23(a_1_1_waybel_0(X0),X1),X1)
| a_1_1_waybel_0(X0) = X1
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| ~ sP6(X0,sK23(a_1_1_waybel_0(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_855])]) ).
fof(f3136,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(a_1_1_waybel_0(X0),X1),X1)
| a_1_1_waybel_0(X0) = X1
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| ~ sP6(X0,sK23(a_1_1_waybel_0(X0),X1)) )
| ~ spl38_209
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1613]) ).
fof(f8326,plain,
( spl38_854
| ~ spl38_212
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3135,f3083,f1624,f8324]) ).
fof(f8324,plain,
( spl38_854
<=> ! [X0,X1] :
( m1_subset_1(sK23(a_1_0_waybel_0(X0),X1),X1)
| a_1_0_waybel_0(X0) = X1
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| ~ sP8(X0,sK23(a_1_0_waybel_0(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_854])]) ).
fof(f3135,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(a_1_0_waybel_0(X0),X1),X1)
| a_1_0_waybel_0(X0) = X1
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| ~ sP8(X0,sK23(a_1_0_waybel_0(X0),X1)) )
| ~ spl38_212
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1625]) ).
fof(f8106,plain,
( spl38_706
| ~ spl38_853
| ~ spl38_404
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4256,f4104,f3109,f8103,f5771]) ).
fof(f5771,plain,
( spl38_706
<=> u1_struct_0(sK35) = u1_struct_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_706])]) ).
fof(f8103,plain,
( spl38_853
<=> k7_lattice3(sK9) = k7_lattice3(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_853])]) ).
fof(f4256,plain,
( k7_lattice3(sK9) != k7_lattice3(sK35)
| u1_struct_0(sK35) = u1_struct_0(sK9)
| ~ spl38_404
| ~ spl38_518 ),
inference(superposition,[],[f4105,f3111]) ).
fof(f7879,plain,
( spl38_852
| ~ spl38_341
| ~ spl38_431 ),
inference(avatar_split_clause,[],[f3433,f3374,f2630,f7877]) ).
fof(f7877,plain,
( spl38_852
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK17(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK17(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_852])]) ).
fof(f2630,plain,
( spl38_341
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| X0 = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_341])]) ).
fof(f3433,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK17(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK17(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_341
| ~ spl38_431 ),
inference(resolution,[],[f3375,f2631]) ).
fof(f2631,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| X0 = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_341 ),
inference(avatar_component_clause,[],[f2630]) ).
fof(f7875,plain,
( spl38_851
| ~ spl38_342
| ~ spl38_431 ),
inference(avatar_split_clause,[],[f3430,f3374,f2634,f7873]) ).
fof(f7873,plain,
( spl38_851
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK17(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_851])]) ).
fof(f2634,plain,
( spl38_342
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_342])]) ).
fof(f3430,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK17(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_342
| ~ spl38_431 ),
inference(resolution,[],[f3375,f2635]) ).
fof(f2635,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl38_342 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f7871,plain,
( spl38_850
| ~ spl38_341
| ~ spl38_430 ),
inference(avatar_split_clause,[],[f3426,f3370,f2630,f7869]) ).
fof(f7869,plain,
( spl38_850
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK16(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK16(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_850])]) ).
fof(f3426,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(sK16(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK16(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_341
| ~ spl38_430 ),
inference(resolution,[],[f3371,f2631]) ).
fof(f7867,plain,
( spl38_849
| ~ spl38_342
| ~ spl38_430 ),
inference(avatar_split_clause,[],[f3423,f3370,f2634,f7865]) ).
fof(f7865,plain,
( spl38_849
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK16(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_849])]) ).
fof(f3423,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK23(X1,sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK16(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_342
| ~ spl38_430 ),
inference(resolution,[],[f3371,f2635]) ).
fof(f7863,plain,
( spl38_848
| ~ spl38_235
| ~ spl38_423 ),
inference(avatar_split_clause,[],[f3350,f3317,f1793,f7861]) ).
fof(f7861,plain,
( spl38_848
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_848])]) ).
fof(f3317,plain,
( spl38_423
<=> ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_423])]) ).
fof(f3350,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 )
| ~ spl38_235
| ~ spl38_423 ),
inference(resolution,[],[f3318,f1794]) ).
fof(f3318,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK17(X0))
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_423 ),
inference(avatar_component_clause,[],[f3317]) ).
fof(f7859,plain,
( spl38_847
| ~ spl38_398
| ~ spl38_423 ),
inference(avatar_split_clause,[],[f3348,f3317,f3083,f7857]) ).
fof(f7857,plain,
( spl38_847
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_847])]) ).
fof(f3348,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK17(X0),X1),X1)
| sK17(X0) = X1 )
| ~ spl38_398
| ~ spl38_423 ),
inference(resolution,[],[f3318,f3084]) ).
fof(f7855,plain,
( spl38_846
| ~ spl38_235
| ~ spl38_423 ),
inference(avatar_split_clause,[],[f3347,f3317,f1793,f7853]) ).
fof(f7853,plain,
( spl38_846
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_846])]) ).
fof(f3347,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 )
| ~ spl38_235
| ~ spl38_423 ),
inference(resolution,[],[f3318,f1794]) ).
fof(f7851,plain,
( spl38_845
| ~ spl38_400
| ~ spl38_423 ),
inference(avatar_split_clause,[],[f3345,f3317,f3091,f7849]) ).
fof(f7849,plain,
( spl38_845
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_845])]) ).
fof(f3345,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK17(X0)),X1)
| sK17(X0) = X1 )
| ~ spl38_400
| ~ spl38_423 ),
inference(resolution,[],[f3318,f3092]) ).
fof(f7847,plain,
( spl38_844
| ~ spl38_235
| ~ spl38_422 ),
inference(avatar_split_clause,[],[f3343,f3313,f1793,f7845]) ).
fof(f7845,plain,
( spl38_844
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_844])]) ).
fof(f3313,plain,
( spl38_422
<=> ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_422])]) ).
fof(f3343,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 )
| ~ spl38_235
| ~ spl38_422 ),
inference(resolution,[],[f3314,f1794]) ).
fof(f3314,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK16(X0))
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_422 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f7843,plain,
( spl38_843
| ~ spl38_398
| ~ spl38_422 ),
inference(avatar_split_clause,[],[f3341,f3313,f3083,f7841]) ).
fof(f7841,plain,
( spl38_843
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_843])]) ).
fof(f3341,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(sK16(X0),X1),X1)
| sK16(X0) = X1 )
| ~ spl38_398
| ~ spl38_422 ),
inference(resolution,[],[f3314,f3084]) ).
fof(f7839,plain,
( spl38_842
| ~ spl38_235
| ~ spl38_422 ),
inference(avatar_split_clause,[],[f3340,f3313,f1793,f7837]) ).
fof(f7837,plain,
( spl38_842
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_842])]) ).
fof(f3340,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 )
| ~ spl38_235
| ~ spl38_422 ),
inference(resolution,[],[f3314,f1794]) ).
fof(f7835,plain,
( spl38_841
| ~ spl38_400
| ~ spl38_422 ),
inference(avatar_split_clause,[],[f3338,f3313,f3091,f7833]) ).
fof(f7833,plain,
( spl38_841
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_841])]) ).
fof(f3338,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| m1_subset_1(sK23(X1,sK16(X0)),X1)
| sK16(X0) = X1 )
| ~ spl38_400
| ~ spl38_422 ),
inference(resolution,[],[f3314,f3092]) ).
fof(f7831,plain,
( spl38_840
| ~ spl38_180
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3185,f3091,f1426,f7829]) ).
fof(f7829,plain,
( spl38_840
<=> ! [X2,X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X2)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| v1_relat_1(sK23(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_840])]) ).
fof(f1426,plain,
( spl38_180
<=> ! [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,[spl38_180])]) ).
fof(f3185,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2),X2)
| k1_zfmisc_1(k2_zfmisc_1(X0,X1)) = X2
| v1_relat_1(sK23(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)) )
| ~ spl38_180
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1427]) ).
fof(f1427,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl38_180 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f7827,plain,
( spl38_839
| ~ spl38_373
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3173,f3091,f2916,f7825]) ).
fof(f7825,plain,
( spl38_839
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),X0)
| sK15(X1) = X0
| m1_subset_1(sK23(X0,sK15(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_839])]) ).
fof(f2916,plain,
( spl38_373
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK15(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_373])]) ).
fof(f3173,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),X0)
| sK15(X1) = X0
| m1_subset_1(sK23(X0,sK15(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_373
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2917]) ).
fof(f2917,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK15(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_373 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f7823,plain,
( spl38_838
| ~ spl38_371
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3172,f3091,f2907,f7821]) ).
fof(f7821,plain,
( spl38_838
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK14(X1)),X0)
| sK14(X1) = X0
| m1_subset_1(sK23(X0,sK14(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_838])]) ).
fof(f2907,plain,
( spl38_371
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK14(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_371])]) ).
fof(f3172,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK14(X1)),X0)
| sK14(X1) = X0
| m1_subset_1(sK23(X0,sK14(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl38_371
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2908]) ).
fof(f2908,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK14(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl38_371 ),
inference(avatar_component_clause,[],[f2907]) ).
fof(f7819,plain,
( spl38_837
| ~ spl38_180
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3155,f3083,f1426,f7817]) ).
fof(f7817,plain,
( spl38_837
<=> ! [X2,X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X0)
| k1_zfmisc_1(k2_zfmisc_1(X1,X2)) = X0
| v1_relat_1(sK23(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_837])]) ).
fof(f3155,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))),X0)
| k1_zfmisc_1(k2_zfmisc_1(X1,X2)) = X0
| v1_relat_1(sK23(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl38_180
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1427]) ).
fof(f7815,plain,
( spl38_836
| ~ spl38_373
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3143,f3083,f2916,f7813]) ).
fof(f7813,plain,
( spl38_836
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1
| m1_subset_1(sK23(sK15(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_836])]) ).
fof(f3143,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1
| m1_subset_1(sK23(sK15(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_373
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2917]) ).
fof(f7811,plain,
( spl38_835
| ~ spl38_371
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3142,f3083,f2907,f7809]) ).
fof(f7809,plain,
( spl38_835
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK14(X0),X1),X1)
| sK14(X0) = X1
| m1_subset_1(sK23(sK14(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_835])]) ).
fof(f3142,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK14(X0),X1),X1)
| sK14(X0) = X1
| m1_subset_1(sK23(sK14(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl38_371
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2908]) ).
fof(f7807,plain,
( spl38_834
| ~ spl38_235
| ~ spl38_373 ),
inference(avatar_split_clause,[],[f3058,f2916,f1793,f7805]) ).
fof(f7805,plain,
( spl38_834
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| r2_hidden(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_834])]) ).
fof(f3058,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| r2_hidden(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1 )
| ~ spl38_235
| ~ spl38_373 ),
inference(resolution,[],[f2917,f1794]) ).
fof(f7803,plain,
( spl38_833
| ~ spl38_235
| ~ spl38_373 ),
inference(avatar_split_clause,[],[f3056,f2916,f1793,f7801]) ).
fof(f7801,plain,
( spl38_833
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| r2_hidden(sK23(X0,sK15(X1)),X0)
| sK15(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_833])]) ).
fof(f3056,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| r2_hidden(sK23(X0,sK15(X1)),X0)
| sK15(X1) = X0 )
| ~ spl38_235
| ~ spl38_373 ),
inference(resolution,[],[f2917,f1794]) ).
fof(f7799,plain,
( spl38_832
| ~ spl38_235
| ~ spl38_371 ),
inference(avatar_split_clause,[],[f3053,f2907,f1793,f7797]) ).
fof(f7797,plain,
( spl38_832
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK14(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK23(sK14(X0),X1),X1)
| sK14(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_832])]) ).
fof(f3053,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK14(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r2_hidden(sK23(sK14(X0),X1),X1)
| sK14(X0) = X1 )
| ~ spl38_235
| ~ spl38_371 ),
inference(resolution,[],[f2908,f1794]) ).
fof(f7795,plain,
( spl38_830
| ~ spl38_831
| ~ spl38_403
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4254,f4104,f3104,f7792,f7788]) ).
fof(f7788,plain,
( spl38_830
<=> u1_struct_0(sK9) = u1_struct_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_830])]) ).
fof(f7792,plain,
( spl38_831
<=> k7_lattice3(sK9) = k7_lattice3(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_831])]) ).
fof(f4254,plain,
( k7_lattice3(sK9) != k7_lattice3(sK34)
| u1_struct_0(sK9) = u1_struct_0(sK34)
| ~ spl38_403
| ~ spl38_518 ),
inference(superposition,[],[f4105,f3106]) ).
fof(f7786,plain,
( spl38_829
| ~ spl38_235
| ~ spl38_371 ),
inference(avatar_split_clause,[],[f3051,f2907,f1793,f7784]) ).
fof(f7784,plain,
( spl38_829
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK14(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| r2_hidden(sK23(X0,sK14(X1)),X0)
| sK14(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_829])]) ).
fof(f3051,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK14(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| r2_hidden(sK23(X0,sK14(X1)),X0)
| sK14(X1) = X0 )
| ~ spl38_235
| ~ spl38_371 ),
inference(resolution,[],[f2908,f1794]) ).
fof(f7775,plain,
( spl38_828
| ~ spl38_125
| ~ spl38_436 ),
inference(avatar_split_clause,[],[f3472,f3436,f1181,f7773]) ).
fof(f7773,plain,
( spl38_828
<=> ! [X0] :
( k9_waybel_0(k2_yellow_1(k9_waybel_0(X0))) = k8_waybel_0(k7_lattice3(k2_yellow_1(k9_waybel_0(X0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_828])]) ).
fof(f1181,plain,
( spl38_125
<=> ! [X0] :
( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_125])]) ).
fof(f3436,plain,
( spl38_436
<=> ! [X0] :
( k9_waybel_0(k2_yellow_1(X0)) = k8_waybel_0(k7_lattice3(k2_yellow_1(X0)))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_436])]) ).
fof(f3472,plain,
( ! [X0] :
( k9_waybel_0(k2_yellow_1(k9_waybel_0(X0))) = k8_waybel_0(k7_lattice3(k2_yellow_1(k9_waybel_0(X0))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_125
| ~ spl38_436 ),
inference(resolution,[],[f3437,f1182]) ).
fof(f1182,plain,
( ! [X0] :
( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_125 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f3437,plain,
( ! [X0] :
( ~ v3_orders_2(k2_yellow_1(X0))
| k9_waybel_0(k2_yellow_1(X0)) = k8_waybel_0(k7_lattice3(k2_yellow_1(X0)))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) )
| ~ spl38_436 ),
inference(avatar_component_clause,[],[f3436]) ).
fof(f7317,plain,
( spl38_826
| ~ spl38_827
| ~ spl38_402
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4253,f4104,f3099,f7314,f7310]) ).
fof(f7310,plain,
( spl38_826
<=> u1_struct_0(sK9) = u1_struct_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_826])]) ).
fof(f7314,plain,
( spl38_827
<=> k7_lattice3(sK9) = k7_lattice3(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_827])]) ).
fof(f4253,plain,
( k7_lattice3(sK9) != k7_lattice3(sK29)
| u1_struct_0(sK9) = u1_struct_0(sK29)
| ~ spl38_402
| ~ spl38_518 ),
inference(superposition,[],[f4105,f3101]) ).
fof(f7266,plain,
( spl38_825
| ~ spl38_232
| ~ spl38_478 ),
inference(avatar_split_clause,[],[f3682,f3670,f1779,f7264]) ).
fof(f7264,plain,
( spl38_825
<=> ! [X0] :
( sP7(sK17(X0),X0)
| ~ v1_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_825])]) ).
fof(f1779,plain,
( spl38_232
<=> ! [X0] :
( v12_waybel_0(sK17(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_232])]) ).
fof(f3670,plain,
( spl38_478
<=> ! [X0] :
( sP7(sK17(X0),X0)
| ~ v12_waybel_0(sK17(X0),X0)
| ~ v1_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_478])]) ).
fof(f3682,plain,
( ! [X0] :
( sP7(sK17(X0),X0)
| ~ v1_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_232
| ~ spl38_478 ),
inference(duplicate_literal_removal,[],[f3681]) ).
fof(f3681,plain,
( ! [X0] :
( sP7(sK17(X0),X0)
| ~ v1_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_232
| ~ spl38_478 ),
inference(resolution,[],[f3671,f1780]) ).
fof(f1780,plain,
( ! [X0] :
( v12_waybel_0(sK17(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_232 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f3671,plain,
( ! [X0] :
( ~ v12_waybel_0(sK17(X0),X0)
| sP7(sK17(X0),X0)
| ~ v1_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_478 ),
inference(avatar_component_clause,[],[f3670]) ).
fof(f7262,plain,
( spl38_824
| ~ spl38_230
| ~ spl38_474 ),
inference(avatar_split_clause,[],[f3678,f3654,f1771,f7260]) ).
fof(f7260,plain,
( spl38_824
<=> ! [X0] :
( sP5(sK16(X0),X0)
| ~ v2_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_824])]) ).
fof(f1771,plain,
( spl38_230
<=> ! [X0] :
( v13_waybel_0(sK16(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_230])]) ).
fof(f3654,plain,
( spl38_474
<=> ! [X0] :
( sP5(sK16(X0),X0)
| ~ v13_waybel_0(sK16(X0),X0)
| ~ v2_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_474])]) ).
fof(f3678,plain,
( ! [X0] :
( sP5(sK16(X0),X0)
| ~ v2_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_230
| ~ spl38_474 ),
inference(duplicate_literal_removal,[],[f3677]) ).
fof(f3677,plain,
( ! [X0] :
( sP5(sK16(X0),X0)
| ~ v2_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_230
| ~ spl38_474 ),
inference(resolution,[],[f3655,f1772]) ).
fof(f1772,plain,
( ! [X0] :
( v13_waybel_0(sK16(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_230 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f3655,plain,
( ! [X0] :
( ~ v13_waybel_0(sK16(X0),X0)
| sP5(sK16(X0),X0)
| ~ v2_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_474 ),
inference(avatar_component_clause,[],[f3654]) ).
fof(f7258,plain,
( spl38_823
| ~ spl38_95
| ~ spl38_466 ),
inference(avatar_split_clause,[],[f3643,f3605,f1051,f7256]) ).
fof(f7256,plain,
( spl38_823
<=> ! [X0] :
( ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_823])]) ).
fof(f3605,plain,
( spl38_466
<=> ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_466])]) ).
fof(f3643,plain,
( ! [X0] :
( ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_95
| ~ spl38_466 ),
inference(duplicate_literal_removal,[],[f3642]) ).
fof(f3642,plain,
( ! [X0] :
( ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_466 ),
inference(resolution,[],[f3606,f1052]) ).
fof(f3606,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_466 ),
inference(avatar_component_clause,[],[f3605]) ).
fof(f7254,plain,
( spl38_822
| ~ spl38_148
| ~ spl38_457 ),
inference(avatar_split_clause,[],[f3565,f3555,f1286,f7252]) ).
fof(f7252,plain,
( spl38_822
<=> ! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| sP4(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_822])]) ).
fof(f1286,plain,
( spl38_148
<=> ! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_148])]) ).
fof(f3555,plain,
( spl38_457
<=> ! [X0] :
( sP4(k7_lattice3(X0))
| ~ v2_yellow_0(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_457])]) ).
fof(f3565,plain,
( ! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| sP4(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_148
| ~ spl38_457 ),
inference(duplicate_literal_removal,[],[f3563]) ).
fof(f3563,plain,
( ! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| sP4(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_148
| ~ spl38_457 ),
inference(resolution,[],[f3556,f1287]) ).
fof(f1287,plain,
( ! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_148 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f3556,plain,
( ! [X0] :
( ~ v2_lattice3(k7_lattice3(X0))
| ~ v2_yellow_0(k7_lattice3(X0))
| sP4(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_457 ),
inference(avatar_component_clause,[],[f3555]) ).
fof(f7250,plain,
( spl38_821
| ~ spl38_100
| ~ spl38_457 ),
inference(avatar_split_clause,[],[f3564,f3555,f1072,f7248]) ).
fof(f7248,plain,
( spl38_821
<=> ! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| sP4(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_821])]) ).
fof(f1072,plain,
( spl38_100
<=> ! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_100])]) ).
fof(f3564,plain,
( ! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| sP4(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ sP2(X0) )
| ~ spl38_100
| ~ spl38_457 ),
inference(resolution,[],[f3556,f1073]) ).
fof(f1073,plain,
( ! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_100 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f7246,plain,
( spl38_820
| ~ spl38_95
| ~ spl38_456 ),
inference(avatar_split_clause,[],[f3562,f3551,f1051,f7244]) ).
fof(f7244,plain,
( spl38_820
<=> ! [X0] :
( ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_820])]) ).
fof(f3551,plain,
( spl38_456
<=> ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_456])]) ).
fof(f3562,plain,
( ! [X0] :
( ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_456 ),
inference(resolution,[],[f3552,f1052]) ).
fof(f3552,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_456 ),
inference(avatar_component_clause,[],[f3551]) ).
fof(f7242,plain,
( spl38_819
| ~ spl38_125
| ~ spl38_428 ),
inference(avatar_split_clause,[],[f3419,f3362,f1181,f7240]) ).
fof(f7240,plain,
( spl38_819
<=> ! [X0] :
( k9_waybel_0(k2_yellow_1(k9_waybel_0(X0))) = a_1_1_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_819])]) ).
fof(f3362,plain,
( spl38_428
<=> ! [X0] :
( k9_waybel_0(k2_yellow_1(X0)) = a_1_1_waybel_0(k2_yellow_1(X0))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_428])]) ).
fof(f3419,plain,
( ! [X0] :
( k9_waybel_0(k2_yellow_1(k9_waybel_0(X0))) = a_1_1_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_125
| ~ spl38_428 ),
inference(resolution,[],[f3363,f1182]) ).
fof(f3363,plain,
( ! [X0] :
( ~ v3_orders_2(k2_yellow_1(X0))
| k9_waybel_0(k2_yellow_1(X0)) = a_1_1_waybel_0(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) )
| ~ spl38_428 ),
inference(avatar_component_clause,[],[f3362]) ).
fof(f7238,plain,
( spl38_818
| ~ spl38_125
| ~ spl38_427 ),
inference(avatar_split_clause,[],[f3417,f3358,f1181,f7236]) ).
fof(f7236,plain,
( spl38_818
<=> ! [X0] :
( k8_waybel_0(k2_yellow_1(k9_waybel_0(X0))) = a_1_0_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_818])]) ).
fof(f3358,plain,
( spl38_427
<=> ! [X0] :
( k8_waybel_0(k2_yellow_1(X0)) = a_1_0_waybel_0(k2_yellow_1(X0))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_427])]) ).
fof(f3417,plain,
( ! [X0] :
( k8_waybel_0(k2_yellow_1(k9_waybel_0(X0))) = a_1_0_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_125
| ~ spl38_427 ),
inference(resolution,[],[f3359,f1182]) ).
fof(f3359,plain,
( ! [X0] :
( ~ v3_orders_2(k2_yellow_1(X0))
| k8_waybel_0(k2_yellow_1(X0)) = a_1_0_waybel_0(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) )
| ~ spl38_427 ),
inference(avatar_component_clause,[],[f3358]) ).
fof(f7202,plain,
( spl38_817
| ~ spl38_53
| ~ spl38_642
| ~ spl38_816 ),
inference(avatar_split_clause,[],[f7198,f7195,f5136,f857,f7200]) ).
fof(f7200,plain,
( spl38_817
<=> ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK37)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK37)
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_817])]) ).
fof(f7195,plain,
( spl38_816
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_816])]) ).
fof(f7198,plain,
( ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK37)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK37)
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_53
| ~ spl38_642
| ~ spl38_816 ),
inference(forward_demodulation,[],[f7196,f5312]) ).
fof(f7196,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_816 ),
inference(avatar_component_clause,[],[f7195]) ).
fof(f7197,plain,
( spl38_816
| ~ spl38_248
| ~ spl38_407 ),
inference(avatar_split_clause,[],[f3213,f3124,f1882,f7195]) ).
fof(f3213,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_407 ),
inference(superposition,[],[f1883,f3126]) ).
fof(f7161,plain,
( spl38_815
| ~ spl38_44
| ~ spl38_642
| ~ spl38_814 ),
inference(avatar_split_clause,[],[f7157,f7154,f5136,f812,f7159]) ).
fof(f7159,plain,
( spl38_815
<=> ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK36)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK36)
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_815])]) ).
fof(f7154,plain,
( spl38_814
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_814])]) ).
fof(f7157,plain,
( ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK36)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK36)
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_44
| ~ spl38_642
| ~ spl38_814 ),
inference(forward_demodulation,[],[f7155,f5311]) ).
fof(f7155,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_814 ),
inference(avatar_component_clause,[],[f7154]) ).
fof(f7156,plain,
( spl38_814
| ~ spl38_248
| ~ spl38_406 ),
inference(avatar_split_clause,[],[f3209,f3119,f1882,f7154]) ).
fof(f3209,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_406 ),
inference(superposition,[],[f1883,f3121]) ).
fof(f7120,plain,
( spl38_813
| ~ spl38_37
| ~ spl38_642
| ~ spl38_812 ),
inference(avatar_split_clause,[],[f7116,f7113,f5136,f777,f7118]) ).
fof(f7118,plain,
( spl38_813
<=> ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK35)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK35)
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_813])]) ).
fof(f7113,plain,
( spl38_812
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_812])]) ).
fof(f7116,plain,
( ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK35)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK35)
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_37
| ~ spl38_642
| ~ spl38_812 ),
inference(forward_demodulation,[],[f7114,f5310]) ).
fof(f7114,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_812 ),
inference(avatar_component_clause,[],[f7113]) ).
fof(f7115,plain,
( spl38_812
| ~ spl38_248
| ~ spl38_404 ),
inference(avatar_split_clause,[],[f3205,f3109,f1882,f7113]) ).
fof(f3205,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_404 ),
inference(superposition,[],[f1883,f3111]) ).
fof(f7079,plain,
( spl38_811
| ~ spl38_26
| ~ spl38_642
| ~ spl38_810 ),
inference(avatar_split_clause,[],[f7075,f7072,f5136,f722,f7077]) ).
fof(f7077,plain,
( spl38_811
<=> ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK34)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK34)
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_811])]) ).
fof(f7072,plain,
( spl38_810
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_810])]) ).
fof(f7075,plain,
( ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK34)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK34)
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_26
| ~ spl38_642
| ~ spl38_810 ),
inference(forward_demodulation,[],[f7073,f5309]) ).
fof(f7073,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_810 ),
inference(avatar_component_clause,[],[f7072]) ).
fof(f7074,plain,
( spl38_810
| ~ spl38_248
| ~ spl38_403 ),
inference(avatar_split_clause,[],[f3196,f3104,f1882,f7072]) ).
fof(f3196,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_403 ),
inference(superposition,[],[f1883,f3106]) ).
fof(f7038,plain,
( spl38_809
| ~ spl38_15
| ~ spl38_642
| ~ spl38_808 ),
inference(avatar_split_clause,[],[f7034,f7031,f5136,f667,f7036]) ).
fof(f7036,plain,
( spl38_809
<=> ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK29)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK29)
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_809])]) ).
fof(f7031,plain,
( spl38_808
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_808])]) ).
fof(f7034,plain,
( ! [X0,X1] :
( k4_relat_1(u1_orders_2(sK29)) = X1
| g1_orders_2(X0,X1) != k7_lattice3(sK29)
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_15
| ~ spl38_642
| ~ spl38_808 ),
inference(forward_demodulation,[],[f7032,f5308]) ).
fof(f7032,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_808 ),
inference(avatar_component_clause,[],[f7031]) ).
fof(f7033,plain,
( spl38_808
| ~ spl38_248
| ~ spl38_402 ),
inference(avatar_split_clause,[],[f3192,f3099,f1882,f7031]) ).
fof(f3192,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_402 ),
inference(superposition,[],[f1883,f3101]) ).
fof(f7029,plain,
( spl38_807
| ~ spl38_216
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3187,f3091,f1642,f7027]) ).
fof(f7027,plain,
( spl38_807
<=> ! [X2,X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| m1_subset_1(X2,X0)
| ~ r2_hidden(X2,sK23(k1_zfmisc_1(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_807])]) ).
fof(f1642,plain,
( spl38_216
<=> ! [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,[spl38_216])]) ).
fof(f3187,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| m1_subset_1(X2,X0)
| ~ r2_hidden(X2,sK23(k1_zfmisc_1(X0),X1)) )
| ~ spl38_216
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1643]) ).
fof(f1643,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl38_216 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f7025,plain,
( spl38_806
| ~ spl38_316
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3177,f3091,f2437,f7023]) ).
fof(f7023,plain,
( spl38_806
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X0)
| sK19(k1_zfmisc_1(X1)) = X0
| m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_806])]) ).
fof(f2437,plain,
( spl38_316
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK19(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_316])]) ).
fof(f3177,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X0)
| sK19(k1_zfmisc_1(X1)) = X0
| m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X1) )
| ~ spl38_316
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2438]) ).
fof(f2438,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK19(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl38_316 ),
inference(avatar_component_clause,[],[f2437]) ).
fof(f7021,plain,
( spl38_805
| ~ spl38_340
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3175,f3091,f2626,f7019]) ).
fof(f7019,plain,
( spl38_805
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK18(X1)),X0)
| sK18(X1) = X0
| m1_subset_1(sK23(X0,sK18(X1)),u1_struct_0(X1))
| ~ sP3(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_805])]) ).
fof(f2626,plain,
( spl38_340
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK18(X1))
| ~ sP3(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_340])]) ).
fof(f3175,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK18(X1)),X0)
| sK18(X1) = X0
| m1_subset_1(sK23(X0,sK18(X1)),u1_struct_0(X1))
| ~ sP3(X1) )
| ~ spl38_340
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2627]) ).
fof(f2627,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK18(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ sP3(X1) )
| ~ spl38_340 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f7017,plain,
( spl38_804
| ~ spl38_338
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3170,f3091,f2617,f7015]) ).
fof(f7015,plain,
( spl38_804
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK13(X1)),X0)
| sK13(X1) = X0
| m1_subset_1(sK23(X0,sK13(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_804])]) ).
fof(f2617,plain,
( spl38_338
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK13(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_338])]) ).
fof(f3170,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK13(X1)),X0)
| sK13(X1) = X0
| m1_subset_1(sK23(X0,sK13(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_338
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2618]) ).
fof(f2618,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK13(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_338 ),
inference(avatar_component_clause,[],[f2617]) ).
fof(f7013,plain,
( spl38_803
| ~ spl38_337
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3168,f3091,f2613,f7011]) ).
fof(f7011,plain,
( spl38_803
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK12(X1)),X0)
| sK12(X1) = X0
| m1_subset_1(sK23(X0,sK12(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_803])]) ).
fof(f2613,plain,
( spl38_337
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK12(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_337])]) ).
fof(f3168,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK12(X1)),X0)
| sK12(X1) = X0
| m1_subset_1(sK23(X0,sK12(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_337
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2614]) ).
fof(f2614,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK12(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_337 ),
inference(avatar_component_clause,[],[f2613]) ).
fof(f7009,plain,
( spl38_802
| ~ spl38_216
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3157,f3083,f1642,f7007]) ).
fof(f7007,plain,
( spl38_802
<=> ! [X2,X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,sK23(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_802])]) ).
fof(f3157,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,sK23(X0,k1_zfmisc_1(X1))) )
| ~ spl38_216
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1643]) ).
fof(f7005,plain,
( spl38_801
| ~ spl38_316
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3147,f3083,f2437,f7003]) ).
fof(f7003,plain,
( spl38_801
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1
| m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_801])]) ).
fof(f3147,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1
| m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X0) )
| ~ spl38_316
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2438]) ).
fof(f7001,plain,
( spl38_800
| ~ spl38_340
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3145,f3083,f2626,f6999]) ).
fof(f6999,plain,
( spl38_800
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1
| m1_subset_1(sK23(sK18(X0),X1),u1_struct_0(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_800])]) ).
fof(f3145,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1
| m1_subset_1(sK23(sK18(X0),X1),u1_struct_0(X0))
| ~ sP3(X0) )
| ~ spl38_340
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2627]) ).
fof(f6997,plain,
( spl38_799
| ~ spl38_338
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3140,f3083,f2617,f6995]) ).
fof(f6995,plain,
( spl38_799
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1
| m1_subset_1(sK23(sK13(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_799])]) ).
fof(f3140,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1
| m1_subset_1(sK23(sK13(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_338
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2618]) ).
fof(f6993,plain,
( spl38_798
| ~ spl38_337
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3138,f3083,f2613,f6991]) ).
fof(f6991,plain,
( spl38_798
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1
| m1_subset_1(sK23(sK12(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_798])]) ).
fof(f3138,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1
| m1_subset_1(sK23(sK12(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_337
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2614]) ).
fof(f6989,plain,
( spl38_797
| ~ spl38_237
| ~ spl38_352 ),
inference(avatar_split_clause,[],[f2884,f2733,f1803,f6987]) ).
fof(f6987,plain,
( spl38_797
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_797])]) ).
fof(f1803,plain,
( spl38_237
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_237])]) ).
fof(f2733,plain,
( spl38_352
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_352])]) ).
fof(f2884,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) )
| ~ spl38_237
| ~ spl38_352 ),
inference(resolution,[],[f2734,f1804]) ).
fof(f1804,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 )
| ~ spl38_237 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f2734,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl38_352 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f6985,plain,
( spl38_796
| ~ spl38_235
| ~ spl38_340 ),
inference(avatar_split_clause,[],[f2660,f2626,f1793,f6983]) ).
fof(f6983,plain,
( spl38_796
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK18(X0),X1),u1_struct_0(X0))
| ~ sP3(X0)
| r2_hidden(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_796])]) ).
fof(f2660,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK18(X0),X1),u1_struct_0(X0))
| ~ sP3(X0)
| r2_hidden(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1 )
| ~ spl38_235
| ~ spl38_340 ),
inference(resolution,[],[f2627,f1794]) ).
fof(f6981,plain,
( spl38_795
| ~ spl38_235
| ~ spl38_340 ),
inference(avatar_split_clause,[],[f2659,f2626,f1793,f6979]) ).
fof(f6979,plain,
( spl38_795
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK18(X1)),u1_struct_0(X1))
| ~ sP3(X1)
| r2_hidden(sK23(X0,sK18(X1)),X0)
| sK18(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_795])]) ).
fof(f2659,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK18(X1)),u1_struct_0(X1))
| ~ sP3(X1)
| r2_hidden(sK23(X0,sK18(X1)),X0)
| sK18(X1) = X0 )
| ~ spl38_235
| ~ spl38_340 ),
inference(resolution,[],[f2627,f1794]) ).
fof(f6977,plain,
( spl38_794
| ~ spl38_235
| ~ spl38_338 ),
inference(avatar_split_clause,[],[f2657,f2617,f1793,f6975]) ).
fof(f6975,plain,
( spl38_794
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK13(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_794])]) ).
fof(f2657,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK13(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1 )
| ~ spl38_235
| ~ spl38_338 ),
inference(resolution,[],[f2618,f1794]) ).
fof(f6973,plain,
( spl38_793
| ~ spl38_235
| ~ spl38_338 ),
inference(avatar_split_clause,[],[f2656,f2617,f1793,f6971]) ).
fof(f6971,plain,
( spl38_793
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK13(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| r2_hidden(sK23(X0,sK13(X1)),X0)
| sK13(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_793])]) ).
fof(f2656,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK13(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| r2_hidden(sK23(X0,sK13(X1)),X0)
| sK13(X1) = X0 )
| ~ spl38_235
| ~ spl38_338 ),
inference(resolution,[],[f2618,f1794]) ).
fof(f6969,plain,
( spl38_792
| ~ spl38_235
| ~ spl38_337 ),
inference(avatar_split_clause,[],[f2654,f2613,f1793,f6967]) ).
fof(f6967,plain,
( spl38_792
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK12(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_792])]) ).
fof(f2654,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK12(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1 )
| ~ spl38_235
| ~ spl38_337 ),
inference(resolution,[],[f2614,f1794]) ).
fof(f6965,plain,
( spl38_789
| ~ spl38_790
| ~ spl38_791
| ~ spl38_167
| ~ spl38_687 ),
inference(avatar_split_clause,[],[f5591,f5526,f1374,f6962,f6958,f6954]) ).
fof(f6954,plain,
( spl38_789
<=> v2_funct_1(u1_orders_2(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_789])]) ).
fof(f6958,plain,
( spl38_790
<=> v1_xboole_0(u1_orders_2(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_790])]) ).
fof(f6962,plain,
( spl38_791
<=> v1_funct_1(u1_orders_2(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_791])]) ).
fof(f1374,plain,
( spl38_167
<=> ! [X0] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_167])]) ).
fof(f5526,plain,
( spl38_687
<=> v1_relat_1(u1_orders_2(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_687])]) ).
fof(f5591,plain,
( ~ v1_funct_1(u1_orders_2(sK9))
| ~ v1_xboole_0(u1_orders_2(sK9))
| v2_funct_1(u1_orders_2(sK9))
| ~ spl38_167
| ~ spl38_687 ),
inference(resolution,[],[f5528,f1375]) ).
fof(f1375,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| v2_funct_1(X0) )
| ~ spl38_167 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f5528,plain,
( v1_relat_1(u1_orders_2(sK9))
| ~ spl38_687 ),
inference(avatar_component_clause,[],[f5526]) ).
fof(f6952,plain,
( spl38_788
| ~ spl38_235
| ~ spl38_337 ),
inference(avatar_split_clause,[],[f2653,f2613,f1793,f6950]) ).
fof(f6950,plain,
( spl38_788
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK12(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| r2_hidden(sK23(X0,sK12(X1)),X0)
| sK12(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_788])]) ).
fof(f2653,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK12(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| r2_hidden(sK23(X0,sK12(X1)),X0)
| sK12(X1) = X0 )
| ~ spl38_235
| ~ spl38_337 ),
inference(resolution,[],[f2614,f1794]) ).
fof(f6948,plain,
( spl38_787
| ~ spl38_236
| ~ spl38_331 ),
inference(avatar_split_clause,[],[f2640,f2589,f1797,f6946]) ).
fof(f6946,plain,
( spl38_787
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(sK23(X1,k1_zfmisc_1(X0)),X0)
| k1_zfmisc_1(X0) = X1
| ~ r2_hidden(sK23(X1,k1_zfmisc_1(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_787])]) ).
fof(f2589,plain,
( spl38_331
<=> ! [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,[spl38_331])]) ).
fof(f2640,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(sK23(X1,k1_zfmisc_1(X0)),X0)
| k1_zfmisc_1(X0) = X1
| ~ r2_hidden(sK23(X1,k1_zfmisc_1(X0)),X1) )
| ~ spl38_236
| ~ spl38_331 ),
inference(resolution,[],[f2590,f1798]) ).
fof(f2590,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl38_331 ),
inference(avatar_component_clause,[],[f2589]) ).
fof(f6944,plain,
( spl38_786
| ~ spl38_235
| ~ spl38_316 ),
inference(avatar_split_clause,[],[f2443,f2437,f1793,f6942]) ).
fof(f6942,plain,
( spl38_786
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X0)
| r2_hidden(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_786])]) ).
fof(f2443,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X0)
| r2_hidden(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1 )
| ~ spl38_235
| ~ spl38_316 ),
inference(resolution,[],[f2438,f1794]) ).
fof(f6940,plain,
( spl38_785
| ~ spl38_235
| ~ spl38_316 ),
inference(avatar_split_clause,[],[f2442,f2437,f1793,f6938]) ).
fof(f6938,plain,
( spl38_785
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X1)
| r2_hidden(sK23(X0,sK19(k1_zfmisc_1(X1))),X0)
| sK19(k1_zfmisc_1(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_785])]) ).
fof(f2442,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X1)
| r2_hidden(sK23(X0,sK19(k1_zfmisc_1(X1))),X0)
| sK19(k1_zfmisc_1(X1)) = X0 )
| ~ spl38_235
| ~ spl38_316 ),
inference(resolution,[],[f2438,f1794]) ).
fof(f6828,plain,
( spl38_784
| ~ spl38_317
| ~ spl38_687 ),
inference(avatar_split_clause,[],[f5590,f5526,f2445,f6825]) ).
fof(f6825,plain,
( spl38_784
<=> k4_relat_1(u1_orders_2(sK9)) = k4_relat_1(k4_relat_1(k4_relat_1(u1_orders_2(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_784])]) ).
fof(f2445,plain,
( spl38_317
<=> ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_317])]) ).
fof(f5590,plain,
( k4_relat_1(u1_orders_2(sK9)) = k4_relat_1(k4_relat_1(k4_relat_1(u1_orders_2(sK9))))
| ~ spl38_317
| ~ spl38_687 ),
inference(resolution,[],[f5528,f2446]) ).
fof(f2446,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0))) )
| ~ spl38_317 ),
inference(avatar_component_clause,[],[f2445]) ).
fof(f6653,plain,
( spl38_783
| ~ spl38_53
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3574,f3559,f857,f6650]) ).
fof(f3574,plain,
( k7_lattice3(k7_lattice3(sK37)) = g1_orders_2(u1_struct_0(k7_lattice3(sK37)),k6_relset_1(u1_struct_0(k7_lattice3(sK37)),u1_struct_0(k7_lattice3(sK37)),u1_orders_2(k7_lattice3(sK37))))
| ~ spl38_53
| ~ spl38_458 ),
inference(resolution,[],[f3560,f859]) ).
fof(f6648,plain,
( spl38_782
| ~ spl38_44
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3573,f3559,f812,f6645]) ).
fof(f3573,plain,
( k7_lattice3(k7_lattice3(sK36)) = g1_orders_2(u1_struct_0(k7_lattice3(sK36)),k6_relset_1(u1_struct_0(k7_lattice3(sK36)),u1_struct_0(k7_lattice3(sK36)),u1_orders_2(k7_lattice3(sK36))))
| ~ spl38_44
| ~ spl38_458 ),
inference(resolution,[],[f3560,f814]) ).
fof(f6643,plain,
( spl38_781
| ~ spl38_37
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3572,f3559,f777,f6640]) ).
fof(f3572,plain,
( k7_lattice3(k7_lattice3(sK35)) = g1_orders_2(u1_struct_0(k7_lattice3(sK35)),k6_relset_1(u1_struct_0(k7_lattice3(sK35)),u1_struct_0(k7_lattice3(sK35)),u1_orders_2(k7_lattice3(sK35))))
| ~ spl38_37
| ~ spl38_458 ),
inference(resolution,[],[f3560,f779]) ).
fof(f6637,plain,
( spl38_780
| ~ spl38_26
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3571,f3559,f722,f6634]) ).
fof(f3571,plain,
( k7_lattice3(k7_lattice3(sK34)) = g1_orders_2(u1_struct_0(k7_lattice3(sK34)),k6_relset_1(u1_struct_0(k7_lattice3(sK34)),u1_struct_0(k7_lattice3(sK34)),u1_orders_2(k7_lattice3(sK34))))
| ~ spl38_26
| ~ spl38_458 ),
inference(resolution,[],[f3560,f724]) ).
fof(f6632,plain,
( spl38_779
| ~ spl38_15
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3570,f3559,f667,f6629]) ).
fof(f3570,plain,
( k7_lattice3(k7_lattice3(sK29)) = g1_orders_2(u1_struct_0(k7_lattice3(sK29)),k6_relset_1(u1_struct_0(k7_lattice3(sK29)),u1_struct_0(k7_lattice3(sK29)),u1_orders_2(k7_lattice3(sK29))))
| ~ spl38_15
| ~ spl38_458 ),
inference(resolution,[],[f3560,f669]) ).
fof(f6627,plain,
( spl38_778
| ~ spl38_149
| ~ spl38_451 ),
inference(avatar_split_clause,[],[f3545,f3525,f1290,f6625]) ).
fof(f6625,plain,
( spl38_778
<=> ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = k8_waybel_0(k7_lattice3(k7_lattice3(X0)))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_778])]) ).
fof(f1290,plain,
( spl38_149
<=> ! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_149])]) ).
fof(f3525,plain,
( spl38_451
<=> ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = k8_waybel_0(k7_lattice3(k7_lattice3(X0)))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_451])]) ).
fof(f3545,plain,
( ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = k8_waybel_0(k7_lattice3(k7_lattice3(X0)))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_149
| ~ spl38_451 ),
inference(duplicate_literal_removal,[],[f3544]) ).
fof(f3544,plain,
( ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = k8_waybel_0(k7_lattice3(k7_lattice3(X0)))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_149
| ~ spl38_451 ),
inference(resolution,[],[f3526,f1291]) ).
fof(f1291,plain,
( ! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_149 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f3526,plain,
( ! [X0] :
( ~ v3_orders_2(k7_lattice3(X0))
| k9_waybel_0(k7_lattice3(X0)) = k8_waybel_0(k7_lattice3(k7_lattice3(X0)))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_451 ),
inference(avatar_component_clause,[],[f3525]) ).
fof(f6623,plain,
( spl38_777
| ~ spl38_133
| ~ spl38_448 ),
inference(avatar_split_clause,[],[f3515,f3495,f1214,f6621]) ).
fof(f6621,plain,
( spl38_777
<=> ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_777])]) ).
fof(f1214,plain,
( spl38_133
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_133])]) ).
fof(f3495,plain,
( spl38_448
<=> ! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_448])]) ).
fof(f3515,plain,
( ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK17(X0)) )
| ~ spl38_133
| ~ spl38_448 ),
inference(resolution,[],[f3496,f1215]) ).
fof(f1215,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl38_133 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f3496,plain,
( ! [X0] :
( r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_448 ),
inference(avatar_component_clause,[],[f3495]) ).
fof(f6619,plain,
( spl38_776
| ~ spl38_133
| ~ spl38_447 ),
inference(avatar_split_clause,[],[f3512,f3491,f1214,f6617]) ).
fof(f6617,plain,
( spl38_776
<=> ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_776])]) ).
fof(f3491,plain,
( spl38_447
<=> ! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK16(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_447])]) ).
fof(f3512,plain,
( ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK16(X0)) )
| ~ spl38_133
| ~ spl38_447 ),
inference(resolution,[],[f3492,f1215]) ).
fof(f3492,plain,
( ! [X0] :
( r2_hidden(sK16(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_447 ),
inference(avatar_component_clause,[],[f3491]) ).
fof(f6615,plain,
( spl38_775
| ~ spl38_188
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3186,f3091,f1517,f6613]) ).
fof(f6613,plain,
( spl38_775
<=> ! [X2,X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X2,sK23(k1_zfmisc_1(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_775])]) ).
fof(f1517,plain,
( spl38_188
<=> ! [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,[spl38_188])]) ).
fof(f3186,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK23(k1_zfmisc_1(X0),X1),X1)
| k1_zfmisc_1(X0) = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X2,sK23(k1_zfmisc_1(X0),X1)) )
| ~ spl38_188
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1518]) ).
fof(f1518,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl38_188 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f6611,plain,
( spl38_774
| ~ spl38_326
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3167,f3091,f2481,f6609]) ).
fof(f6609,plain,
( spl38_774
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK11(X1)),X0)
| sK11(X1) = X0
| m1_subset_1(sK23(X0,sK11(X1)),X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_774])]) ).
fof(f2481,plain,
( spl38_326
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK11(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_326])]) ).
fof(f3167,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK11(X1)),X0)
| sK11(X1) = X0
| m1_subset_1(sK23(X0,sK11(X1)),X1)
| v1_xboole_0(X1) )
| ~ spl38_326
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2482]) ).
fof(f2482,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK11(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl38_326 ),
inference(avatar_component_clause,[],[f2481]) ).
fof(f6607,plain,
( spl38_773
| ~ spl38_188
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3156,f3083,f1517,f6605]) ).
fof(f6605,plain,
( spl38_773
<=> ! [X2,X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,sK23(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_773])]) ).
fof(f3156,plain,
( ! [X2,X0,X1] :
( r2_hidden(sK23(X0,k1_zfmisc_1(X1)),X0)
| k1_zfmisc_1(X1) = X0
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,sK23(X0,k1_zfmisc_1(X1))) )
| ~ spl38_188
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1518]) ).
fof(f6603,plain,
( spl38_772
| ~ spl38_326
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3137,f3083,f2481,f6601]) ).
fof(f6601,plain,
( spl38_772
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK11(X0),X1),X1)
| sK11(X0) = X1
| m1_subset_1(sK23(sK11(X0),X1),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_772])]) ).
fof(f3137,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK11(X0),X1),X1)
| sK11(X0) = X1
| m1_subset_1(sK23(sK11(X0),X1),X0)
| v1_xboole_0(X0) )
| ~ spl38_326
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2482]) ).
fof(f6599,plain,
( spl38_771
| ~ spl38_341
| ~ spl38_375 ),
inference(avatar_split_clause,[],[f3072,f2924,f2630,f6597]) ).
fof(f6597,plain,
( spl38_771
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(sK22(X0,X1),X2),u1_struct_0(X1))
| ~ sP7(X0,X1)
| sK22(X0,X1) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_771])]) ).
fof(f3072,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(sK22(X0,X1),X2),u1_struct_0(X1))
| ~ sP7(X0,X1)
| sK22(X0,X1) = X2
| ~ v1_xboole_0(X2) )
| ~ spl38_341
| ~ spl38_375 ),
inference(resolution,[],[f2925,f2631]) ).
fof(f6595,plain,
( ~ spl38_547
| spl38_769
| ~ spl38_770
| ~ spl38_161
| ~ spl38_584 ),
inference(avatar_split_clause,[],[f4943,f4640,f1350,f6592,f6588,f4295]) ).
fof(f6588,plain,
( spl38_769
<=> v3_yellow_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_769])]) ).
fof(f1350,plain,
( spl38_161
<=> ! [X0] :
( v3_yellow_0(X0)
| ~ v2_yellow_0(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_161])]) ).
fof(f4640,plain,
( spl38_584
<=> v1_yellow_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_584])]) ).
fof(f4943,plain,
( ~ v2_yellow_0(k7_lattice3(sK9))
| v3_yellow_0(k7_lattice3(sK9))
| ~ l1_orders_2(k7_lattice3(sK9))
| ~ spl38_161
| ~ spl38_584 ),
inference(resolution,[],[f4641,f1351]) ).
fof(f1351,plain,
( ! [X0] :
( ~ v1_yellow_0(X0)
| ~ v2_yellow_0(X0)
| v3_yellow_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_161 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f4641,plain,
( v1_yellow_0(k7_lattice3(sK9))
| ~ spl38_584 ),
inference(avatar_component_clause,[],[f4640]) ).
fof(f6586,plain,
( spl38_768
| ~ spl38_342
| ~ spl38_375 ),
inference(avatar_split_clause,[],[f3070,f2924,f2634,f6584]) ).
fof(f6584,plain,
( spl38_768
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK22(X1,X2)),u1_struct_0(X2))
| ~ sP7(X1,X2)
| sK22(X1,X2) = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_768])]) ).
fof(f3070,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK22(X1,X2)),u1_struct_0(X2))
| ~ sP7(X1,X2)
| sK22(X1,X2) = X0
| ~ v1_xboole_0(X0) )
| ~ spl38_342
| ~ spl38_375 ),
inference(resolution,[],[f2925,f2635]) ).
fof(f6582,plain,
( spl38_767
| ~ spl38_341
| ~ spl38_374 ),
inference(avatar_split_clause,[],[f3062,f2920,f2630,f6580]) ).
fof(f6580,plain,
( spl38_767
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(sK21(X0,X1),X2),u1_struct_0(X1))
| ~ sP5(X0,X1)
| sK21(X0,X1) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_767])]) ).
fof(f3062,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(sK21(X0,X1),X2),u1_struct_0(X1))
| ~ sP5(X0,X1)
| sK21(X0,X1) = X2
| ~ v1_xboole_0(X2) )
| ~ spl38_341
| ~ spl38_374 ),
inference(resolution,[],[f2921,f2631]) ).
fof(f6578,plain,
( spl38_766
| ~ spl38_342
| ~ spl38_374 ),
inference(avatar_split_clause,[],[f3060,f2920,f2634,f6576]) ).
fof(f6576,plain,
( spl38_766
<=> ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK21(X1,X2)),u1_struct_0(X2))
| ~ sP5(X1,X2)
| sK21(X1,X2) = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_766])]) ).
fof(f3060,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK23(X0,sK21(X1,X2)),u1_struct_0(X2))
| ~ sP5(X1,X2)
| sK21(X1,X2) = X0
| ~ v1_xboole_0(X0) )
| ~ spl38_342
| ~ spl38_374 ),
inference(resolution,[],[f2921,f2635]) ).
fof(f6574,plain,
( spl38_765
| ~ spl38_209
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2683,f2634,f1612,f6572]) ).
fof(f6572,plain,
( spl38_765
<=> ! [X0,X1] :
( a_1_1_waybel_0(X1) = X0
| ~ v1_xboole_0(X0)
| sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_765])]) ).
fof(f2683,plain,
( ! [X0,X1] :
( a_1_1_waybel_0(X1) = X0
| ~ v1_xboole_0(X0)
| sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) )
| ~ spl38_209
| ~ spl38_342 ),
inference(resolution,[],[f2635,f1613]) ).
fof(f6570,plain,
( spl38_764
| ~ spl38_212
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2682,f2634,f1624,f6568]) ).
fof(f6568,plain,
( spl38_764
<=> ! [X0,X1] :
( a_1_0_waybel_0(X1) = X0
| ~ v1_xboole_0(X0)
| sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_764])]) ).
fof(f2682,plain,
( ! [X0,X1] :
( a_1_0_waybel_0(X1) = X0
| ~ v1_xboole_0(X0)
| sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) )
| ~ spl38_212
| ~ spl38_342 ),
inference(resolution,[],[f2635,f1625]) ).
fof(f6566,plain,
( spl38_763
| ~ spl38_209
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2666,f2630,f1612,f6564]) ).
fof(f6564,plain,
( spl38_763
<=> ! [X0,X1] :
( a_1_1_waybel_0(X0) = X1
| ~ v1_xboole_0(X1)
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| ~ sP6(X0,sK23(a_1_1_waybel_0(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_763])]) ).
fof(f2666,plain,
( ! [X0,X1] :
( a_1_1_waybel_0(X0) = X1
| ~ v1_xboole_0(X1)
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| ~ sP6(X0,sK23(a_1_1_waybel_0(X0),X1)) )
| ~ spl38_209
| ~ spl38_341 ),
inference(resolution,[],[f2631,f1613]) ).
fof(f6562,plain,
( spl38_762
| ~ spl38_212
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2665,f2630,f1624,f6560]) ).
fof(f6560,plain,
( spl38_762
<=> ! [X0,X1] :
( a_1_0_waybel_0(X0) = X1
| ~ v1_xboole_0(X1)
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| ~ sP8(X0,sK23(a_1_0_waybel_0(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_762])]) ).
fof(f2665,plain,
( ! [X0,X1] :
( a_1_0_waybel_0(X0) = X1
| ~ v1_xboole_0(X1)
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| ~ sP8(X0,sK23(a_1_0_waybel_0(X0),X1)) )
| ~ spl38_212
| ~ spl38_341 ),
inference(resolution,[],[f2631,f1625]) ).
fof(f6558,plain,
( spl38_761
| ~ spl38_235
| ~ spl38_326 ),
inference(avatar_split_clause,[],[f2587,f2481,f1793,f6556]) ).
fof(f6556,plain,
( spl38_761
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK11(X0),X1),X0)
| v1_xboole_0(X0)
| r2_hidden(sK23(sK11(X0),X1),X1)
| sK11(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_761])]) ).
fof(f2587,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK11(X0),X1),X0)
| v1_xboole_0(X0)
| r2_hidden(sK23(sK11(X0),X1),X1)
| sK11(X0) = X1 )
| ~ spl38_235
| ~ spl38_326 ),
inference(resolution,[],[f2482,f1794]) ).
fof(f6554,plain,
( spl38_760
| ~ spl38_235
| ~ spl38_326 ),
inference(avatar_split_clause,[],[f2586,f2481,f1793,f6552]) ).
fof(f6552,plain,
( spl38_760
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK11(X1)),X1)
| v1_xboole_0(X1)
| r2_hidden(sK23(X0,sK11(X1)),X0)
| sK11(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_760])]) ).
fof(f2586,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK11(X1)),X1)
| v1_xboole_0(X1)
| r2_hidden(sK23(X0,sK11(X1)),X0)
| sK11(X1) = X0 )
| ~ spl38_235
| ~ spl38_326 ),
inference(resolution,[],[f2482,f1794]) ).
fof(f6550,plain,
( spl38_759
| ~ spl38_167
| ~ spl38_300 ),
inference(avatar_split_clause,[],[f2357,f2324,f1374,f6548]) ).
fof(f6548,plain,
( spl38_759
<=> ! [X0,X1] :
( ~ v1_funct_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_xboole_0(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v2_funct_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_759])]) ).
fof(f2324,plain,
( spl38_300
<=> ! [X0,X1] : v1_relat_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_300])]) ).
fof(f2357,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ v1_xboole_0(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v2_funct_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
| ~ spl38_167
| ~ spl38_300 ),
inference(resolution,[],[f2325,f1375]) ).
fof(f2325,plain,
( ! [X0,X1] : v1_relat_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl38_300 ),
inference(avatar_component_clause,[],[f2324]) ).
fof(f6395,plain,
( spl38_758
| ~ spl38_178
| ~ spl38_472 ),
inference(avatar_split_clause,[],[f3652,f3629,f1418,f6393]) ).
fof(f6393,plain,
( spl38_758
<=> ! [X0,X1] :
( sP7(sK22(X0,X1),X1)
| ~ v1_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_758])]) ).
fof(f1418,plain,
( spl38_178
<=> ! [X0,X1] :
( v12_waybel_0(sK22(X0,X1),X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_178])]) ).
fof(f3629,plain,
( spl38_472
<=> ! [X0,X1] :
( sP7(sK22(X0,X1),X1)
| ~ v12_waybel_0(sK22(X0,X1),X1)
| ~ v1_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_472])]) ).
fof(f3652,plain,
( ! [X0,X1] :
( sP7(sK22(X0,X1),X1)
| ~ v1_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl38_178
| ~ spl38_472 ),
inference(duplicate_literal_removal,[],[f3651]) ).
fof(f3651,plain,
( ! [X0,X1] :
( sP7(sK22(X0,X1),X1)
| ~ v1_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1)
| ~ sP7(X0,X1) )
| ~ spl38_178
| ~ spl38_472 ),
inference(resolution,[],[f3630,f1419]) ).
fof(f1419,plain,
( ! [X0,X1] :
( v12_waybel_0(sK22(X0,X1),X1)
| ~ sP7(X0,X1) )
| ~ spl38_178 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f3630,plain,
( ! [X0,X1] :
( ~ v12_waybel_0(sK22(X0,X1),X1)
| sP7(sK22(X0,X1),X1)
| ~ v1_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl38_472 ),
inference(avatar_component_clause,[],[f3629]) ).
fof(f6391,plain,
( spl38_756
| ~ spl38_757
| ~ spl38_330
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4259,f4104,f2536,f6388,f6384]) ).
fof(f6388,plain,
( spl38_757
<=> sK37 = k7_lattice3(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_757])]) ).
fof(f2536,plain,
( spl38_330
<=> sK37 = g1_orders_2(u1_struct_0(sK37),u1_orders_2(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_330])]) ).
fof(f4259,plain,
( sK37 != k7_lattice3(sK9)
| u1_struct_0(sK37) = u1_struct_0(sK9)
| ~ spl38_330
| ~ spl38_518 ),
inference(superposition,[],[f4105,f2538]) ).
fof(f2538,plain,
( sK37 = g1_orders_2(u1_struct_0(sK37),u1_orders_2(sK37))
| ~ spl38_330 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f6382,plain,
( spl38_755
| ~ spl38_175
| ~ spl38_468 ),
inference(avatar_split_clause,[],[f3645,f3613,f1406,f6380]) ).
fof(f6380,plain,
( spl38_755
<=> ! [X0,X1] :
( sP5(sK21(X0,X1),X1)
| ~ v2_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_755])]) ).
fof(f1406,plain,
( spl38_175
<=> ! [X0,X1] :
( v13_waybel_0(sK21(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_175])]) ).
fof(f3613,plain,
( spl38_468
<=> ! [X0,X1] :
( sP5(sK21(X0,X1),X1)
| ~ v13_waybel_0(sK21(X0,X1),X1)
| ~ v2_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_468])]) ).
fof(f3645,plain,
( ! [X0,X1] :
( sP5(sK21(X0,X1),X1)
| ~ v2_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl38_175
| ~ spl38_468 ),
inference(duplicate_literal_removal,[],[f3644]) ).
fof(f3644,plain,
( ! [X0,X1] :
( sP5(sK21(X0,X1),X1)
| ~ v2_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1)
| ~ sP5(X0,X1) )
| ~ spl38_175
| ~ spl38_468 ),
inference(resolution,[],[f3614,f1407]) ).
fof(f1407,plain,
( ! [X0,X1] :
( v13_waybel_0(sK21(X0,X1),X1)
| ~ sP5(X0,X1) )
| ~ spl38_175 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f3614,plain,
( ! [X0,X1] :
( ~ v13_waybel_0(sK21(X0,X1),X1)
| sP5(sK21(X0,X1),X1)
| ~ v2_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl38_468 ),
inference(avatar_component_clause,[],[f3613]) ).
fof(f6378,plain,
( spl38_754
| ~ spl38_149
| ~ spl38_446 ),
inference(avatar_split_clause,[],[f3509,f3487,f1290,f6376]) ).
fof(f3487,plain,
( spl38_446
<=> ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = a_1_1_waybel_0(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_446])]) ).
fof(f3509,plain,
( ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = a_1_1_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_149
| ~ spl38_446 ),
inference(duplicate_literal_removal,[],[f3508]) ).
fof(f3508,plain,
( ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = a_1_1_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_149
| ~ spl38_446 ),
inference(resolution,[],[f3488,f1291]) ).
fof(f3488,plain,
( ! [X0] :
( ~ v3_orders_2(k7_lattice3(X0))
| k9_waybel_0(k7_lattice3(X0)) = a_1_1_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_446 ),
inference(avatar_component_clause,[],[f3487]) ).
fof(f6374,plain,
( spl38_753
| ~ spl38_149
| ~ spl38_445 ),
inference(avatar_split_clause,[],[f3507,f3483,f1290,f6372]) ).
fof(f3483,plain,
( spl38_445
<=> ! [X0] :
( k8_waybel_0(k7_lattice3(X0)) = a_1_0_waybel_0(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_445])]) ).
fof(f3507,plain,
( ! [X0] :
( k8_waybel_0(k7_lattice3(X0)) = a_1_0_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_149
| ~ spl38_445 ),
inference(duplicate_literal_removal,[],[f3506]) ).
fof(f3506,plain,
( ! [X0] :
( k8_waybel_0(k7_lattice3(X0)) = a_1_0_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_149
| ~ spl38_445 ),
inference(resolution,[],[f3484,f1291]) ).
fof(f3484,plain,
( ! [X0] :
( ~ v3_orders_2(k7_lattice3(X0))
| k8_waybel_0(k7_lattice3(X0)) = a_1_0_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_445 ),
inference(avatar_component_clause,[],[f3483]) ).
fof(f6370,plain,
( spl38_752
| ~ spl38_297
| ~ spl38_431 ),
inference(avatar_split_clause,[],[f3428,f3374,f2312,f6368]) ).
fof(f6368,plain,
( spl38_752
<=> ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK19(sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_752])]) ).
fof(f2312,plain,
( spl38_297
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK19(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_297])]) ).
fof(f3428,plain,
( ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK19(sK17(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK17(X0)) )
| ~ spl38_297
| ~ spl38_431 ),
inference(resolution,[],[f3375,f2313]) ).
fof(f2313,plain,
( ! [X0] :
( r2_hidden(sK19(X0),X0)
| v1_xboole_0(X0) )
| ~ spl38_297 ),
inference(avatar_component_clause,[],[f2312]) ).
fof(f6366,plain,
( spl38_751
| ~ spl38_297
| ~ spl38_430 ),
inference(avatar_split_clause,[],[f3421,f3370,f2312,f6364]) ).
fof(f6364,plain,
( spl38_751
<=> ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK19(sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_751])]) ).
fof(f3421,plain,
( ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(sK19(sK16(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK16(X0)) )
| ~ spl38_297
| ~ spl38_430 ),
inference(resolution,[],[f3371,f2313]) ).
fof(f6362,plain,
( spl38_750
| ~ spl38_342
| ~ spl38_423 ),
inference(avatar_split_clause,[],[f3346,f3317,f2634,f6360]) ).
fof(f6360,plain,
( spl38_750
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK17(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_750])]) ).
fof(f3346,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK17(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_342
| ~ spl38_423 ),
inference(resolution,[],[f3318,f2635]) ).
fof(f6346,plain,
( ~ spl38_729
| spl38_749
| ~ spl38_247
| ~ spl38_330 ),
inference(avatar_split_clause,[],[f2557,f2536,f1878,f6344,f6154]) ).
fof(f6154,plain,
( spl38_729
<=> m1_relset_1(u1_orders_2(sK37),u1_struct_0(sK37),u1_struct_0(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_729])]) ).
fof(f2557,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_struct_0(sK37) = X0
| ~ m1_relset_1(u1_orders_2(sK37),u1_struct_0(sK37),u1_struct_0(sK37)) )
| ~ spl38_247
| ~ spl38_330 ),
inference(superposition,[],[f1879,f2538]) ).
fof(f6322,plain,
( ~ spl38_53
| ~ spl38_319
| spl38_729 ),
inference(avatar_split_clause,[],[f6161,f6154,f2453,f857]) ).
fof(f2453,plain,
( spl38_319
<=> ! [X0] :
( ~ l1_orders_2(X0)
| m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_319])]) ).
fof(f6161,plain,
( ~ l1_orders_2(sK37)
| ~ spl38_319
| spl38_729 ),
inference(resolution,[],[f6156,f2454]) ).
fof(f2454,plain,
( ! [X0] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_319 ),
inference(avatar_component_clause,[],[f2453]) ).
fof(f6156,plain,
( ~ m1_relset_1(u1_orders_2(sK37),u1_struct_0(sK37),u1_struct_0(sK37))
| spl38_729 ),
inference(avatar_component_clause,[],[f6154]) ).
fof(f6321,plain,
( spl38_748
| ~ spl38_342
| ~ spl38_422 ),
inference(avatar_split_clause,[],[f3339,f3313,f2634,f6319]) ).
fof(f6319,plain,
( spl38_748
<=> ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK16(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_748])]) ).
fof(f3339,plain,
( ! [X0,X1] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK16(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_342
| ~ spl38_422 ),
inference(resolution,[],[f3314,f2635]) ).
fof(f6317,plain,
( spl38_747
| ~ spl38_346
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3174,f3091,f2708,f6315]) ).
fof(f6315,plain,
( spl38_747
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),X0)
| sK15(X1) = X0
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_747])]) ).
fof(f2708,plain,
( spl38_346
<=> ! [X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_346])]) ).
fof(f3174,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),X0)
| sK15(X1) = X0
| v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_346
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2709]) ).
fof(f2709,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK15(X0))
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_346 ),
inference(avatar_component_clause,[],[f2708]) ).
fof(f6313,plain,
( spl38_746
| ~ spl38_346
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3144,f3083,f2708,f6311]) ).
fof(f6311,plain,
( spl38_746
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_746])]) ).
fof(f3144,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_346
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2709]) ).
fof(f6309,plain,
( spl38_745
| ~ spl38_341
| ~ spl38_373 ),
inference(avatar_split_clause,[],[f3057,f2916,f2630,f6307]) ).
fof(f6307,plain,
( spl38_745
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| sK15(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_745])]) ).
fof(f3057,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK15(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| sK15(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_341
| ~ spl38_373 ),
inference(resolution,[],[f2917,f2631]) ).
fof(f6305,plain,
( spl38_744
| ~ spl38_342
| ~ spl38_373 ),
inference(avatar_split_clause,[],[f3055,f2916,f2634,f6303]) ).
fof(f6303,plain,
( spl38_744
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| sK15(X1) = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_744])]) ).
fof(f3055,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK15(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1)
| sK15(X1) = X0
| ~ v1_xboole_0(X0) )
| ~ spl38_342
| ~ spl38_373 ),
inference(resolution,[],[f2917,f2635]) ).
fof(f6301,plain,
( spl38_743
| ~ spl38_341
| ~ spl38_371 ),
inference(avatar_split_clause,[],[f3052,f2907,f2630,f6299]) ).
fof(f6299,plain,
( spl38_743
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK14(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| sK14(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_743])]) ).
fof(f3052,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK14(X0),X1),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| sK14(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_341
| ~ spl38_371 ),
inference(resolution,[],[f2908,f2631]) ).
fof(f6285,plain,
( ~ spl38_727
| spl38_742
| ~ spl38_247
| ~ spl38_328 ),
inference(avatar_split_clause,[],[f2529,f2508,f1878,f6283,f6145]) ).
fof(f6145,plain,
( spl38_727
<=> m1_relset_1(u1_orders_2(sK36),u1_struct_0(sK36),u1_struct_0(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_727])]) ).
fof(f2508,plain,
( spl38_328
<=> sK36 = g1_orders_2(u1_struct_0(sK36),u1_orders_2(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_328])]) ).
fof(f2529,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_struct_0(sK36) = X0
| ~ m1_relset_1(u1_orders_2(sK36),u1_struct_0(sK36),u1_struct_0(sK36)) )
| ~ spl38_247
| ~ spl38_328 ),
inference(superposition,[],[f1879,f2510]) ).
fof(f2510,plain,
( sK36 = g1_orders_2(u1_struct_0(sK36),u1_orders_2(sK36))
| ~ spl38_328 ),
inference(avatar_component_clause,[],[f2508]) ).
fof(f6261,plain,
( ~ spl38_44
| ~ spl38_319
| spl38_727 ),
inference(avatar_split_clause,[],[f6152,f6145,f2453,f812]) ).
fof(f6152,plain,
( ~ l1_orders_2(sK36)
| ~ spl38_319
| spl38_727 ),
inference(resolution,[],[f6147,f2454]) ).
fof(f6147,plain,
( ~ m1_relset_1(u1_orders_2(sK36),u1_struct_0(sK36),u1_struct_0(sK36))
| spl38_727 ),
inference(avatar_component_clause,[],[f6145]) ).
fof(f6260,plain,
( spl38_741
| ~ spl38_342
| ~ spl38_371 ),
inference(avatar_split_clause,[],[f3050,f2907,f2634,f6258]) ).
fof(f6258,plain,
( spl38_741
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK14(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sK14(X1) = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_741])]) ).
fof(f3050,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK14(X1)),u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1)
| sK14(X1) = X0
| ~ v1_xboole_0(X0) )
| ~ spl38_342
| ~ spl38_371 ),
inference(resolution,[],[f2908,f2635]) ).
fof(f6256,plain,
( spl38_740
| ~ spl38_225
| ~ spl38_352 ),
inference(avatar_split_clause,[],[f2885,f2733,f1737,f6254]) ).
fof(f6254,plain,
( spl38_740
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_740])]) ).
fof(f2885,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) )
| ~ spl38_225
| ~ spl38_352 ),
inference(resolution,[],[f2734,f1738]) ).
fof(f6252,plain,
( spl38_739
| ~ spl38_235
| ~ spl38_346 ),
inference(avatar_split_clause,[],[f2865,f2708,f1793,f6250]) ).
fof(f6250,plain,
( spl38_739
<=> ! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_739])]) ).
fof(f2865,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK15(X0),X1),X1)
| sK15(X0) = X1 )
| ~ spl38_235
| ~ spl38_346 ),
inference(resolution,[],[f2709,f1794]) ).
fof(f6248,plain,
( spl38_738
| ~ spl38_235
| ~ spl38_346 ),
inference(avatar_split_clause,[],[f2863,f2708,f1793,f6246]) ).
fof(f6246,plain,
( spl38_738
<=> ! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK15(X0)),X1)
| sK15(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_738])]) ).
fof(f2863,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK15(X0)),X1)
| sK15(X0) = X1 )
| ~ spl38_235
| ~ spl38_346 ),
inference(resolution,[],[f2709,f1794]) ).
fof(f6244,plain,
( spl38_737
| ~ spl38_237
| ~ spl38_319 ),
inference(avatar_split_clause,[],[f2570,f2453,f1803,f6242]) ).
fof(f6242,plain,
( spl38_737
<=> ! [X0] :
( ~ l1_orders_2(X0)
| u1_orders_2(X0) = k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_737])]) ).
fof(f2570,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| u1_orders_2(X0) = k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0))) )
| ~ spl38_237
| ~ spl38_319 ),
inference(resolution,[],[f2454,f1804]) ).
fof(f6240,plain,
( spl38_736
| ~ spl38_317
| ~ spl38_318 ),
inference(avatar_split_clause,[],[f2565,f2449,f2445,f6238]) ).
fof(f6238,plain,
( spl38_736
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k4_relat_1(sK11(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK11(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_736])]) ).
fof(f2449,plain,
( spl38_318
<=> ! [X0,X1] :
( v1_relat_1(sK11(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_318])]) ).
fof(f2565,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k4_relat_1(sK11(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK11(k2_zfmisc_1(X0,X1))))) )
| ~ spl38_317
| ~ spl38_318 ),
inference(resolution,[],[f2450,f2446]) ).
fof(f2450,plain,
( ! [X0,X1] :
( v1_relat_1(sK11(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl38_318 ),
inference(avatar_component_clause,[],[f2449]) ).
fof(f6224,plain,
( ~ spl38_725
| spl38_735
| ~ spl38_247
| ~ spl38_327 ),
inference(avatar_split_clause,[],[f2506,f2485,f1878,f6222,f6136]) ).
fof(f6136,plain,
( spl38_725
<=> m1_relset_1(u1_orders_2(sK35),u1_struct_0(sK35),u1_struct_0(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_725])]) ).
fof(f2485,plain,
( spl38_327
<=> sK35 = g1_orders_2(u1_struct_0(sK35),u1_orders_2(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_327])]) ).
fof(f2506,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_struct_0(sK35) = X0
| ~ m1_relset_1(u1_orders_2(sK35),u1_struct_0(sK35),u1_struct_0(sK35)) )
| ~ spl38_247
| ~ spl38_327 ),
inference(superposition,[],[f1879,f2487]) ).
fof(f2487,plain,
( sK35 = g1_orders_2(u1_struct_0(sK35),u1_orders_2(sK35))
| ~ spl38_327 ),
inference(avatar_component_clause,[],[f2485]) ).
fof(f6200,plain,
( ~ spl38_37
| ~ spl38_319
| spl38_725 ),
inference(avatar_split_clause,[],[f6143,f6136,f2453,f777]) ).
fof(f6143,plain,
( ~ l1_orders_2(sK35)
| ~ spl38_319
| spl38_725 ),
inference(resolution,[],[f6138,f2454]) ).
fof(f6138,plain,
( ~ m1_relset_1(u1_orders_2(sK35),u1_struct_0(sK35),u1_struct_0(sK35))
| spl38_725 ),
inference(avatar_component_clause,[],[f6136]) ).
fof(f6177,plain,
( spl38_734
| ~ spl38_247
| ~ spl38_450 ),
inference(avatar_split_clause,[],[f3520,f3503,f1878,f6175]) ).
fof(f6175,plain,
( spl38_734
<=> ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| u1_struct_0(k2_yellow_1(X0)) = X1
| ~ m1_relset_1(X2,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_734])]) ).
fof(f3520,plain,
( ! [X2,X0,X1] :
( k7_lattice3(k2_yellow_1(X0)) != g1_orders_2(X1,X2)
| u1_struct_0(k2_yellow_1(X0)) = X1
| ~ m1_relset_1(X2,X1,X1) )
| ~ spl38_247
| ~ spl38_450 ),
inference(superposition,[],[f1879,f3504]) ).
fof(f6173,plain,
( spl38_733
| ~ spl38_213
| ~ spl38_336 ),
inference(avatar_split_clause,[],[f2650,f2609,f1630,f6171]) ).
fof(f6171,plain,
( spl38_733
<=> ! [X0,X1] :
( ~ sP8(X0,a_1_0_waybel_0(X1))
| ~ sP7(a_1_0_waybel_0(X1),X0)
| ~ sP7(a_1_0_waybel_0(X0),X1)
| ~ sP8(X1,a_1_0_waybel_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_733])]) ).
fof(f1630,plain,
( spl38_213
<=> ! [X0,X1] :
( r2_hidden(X1,a_1_0_waybel_0(X0))
| ~ sP7(X1,X0)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_213])]) ).
fof(f2650,plain,
( ! [X0,X1] :
( ~ sP8(X0,a_1_0_waybel_0(X1))
| ~ sP7(a_1_0_waybel_0(X1),X0)
| ~ sP7(a_1_0_waybel_0(X0),X1)
| ~ sP8(X1,a_1_0_waybel_0(X0)) )
| ~ spl38_213
| ~ spl38_336 ),
inference(resolution,[],[f2610,f1631]) ).
fof(f1631,plain,
( ! [X0,X1] :
( r2_hidden(X1,a_1_0_waybel_0(X0))
| ~ sP7(X1,X0)
| ~ sP8(X0,X1) )
| ~ spl38_213 ),
inference(avatar_component_clause,[],[f1630]) ).
fof(f6169,plain,
( spl38_732
| ~ spl38_213
| ~ spl38_334 ),
inference(avatar_split_clause,[],[f2646,f2601,f1630,f6167]) ).
fof(f6167,plain,
( spl38_732
<=> ! [X0,X1] :
( ~ sP6(X0,a_1_0_waybel_0(X1))
| ~ sP5(a_1_0_waybel_0(X1),X0)
| ~ sP7(a_1_1_waybel_0(X0),X1)
| ~ sP8(X1,a_1_1_waybel_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_732])]) ).
fof(f2646,plain,
( ! [X0,X1] :
( ~ sP6(X0,a_1_0_waybel_0(X1))
| ~ sP5(a_1_0_waybel_0(X1),X0)
| ~ sP7(a_1_1_waybel_0(X0),X1)
| ~ sP8(X1,a_1_1_waybel_0(X0)) )
| ~ spl38_213
| ~ spl38_334 ),
inference(resolution,[],[f2602,f1631]) ).
fof(f6165,plain,
( spl38_731
| ~ spl38_210
| ~ spl38_334 ),
inference(avatar_split_clause,[],[f2645,f2601,f1616,f6163]) ).
fof(f6163,plain,
( spl38_731
<=> ! [X0,X1] :
( ~ sP6(X0,a_1_1_waybel_0(X1))
| ~ sP5(a_1_1_waybel_0(X1),X0)
| ~ sP5(a_1_1_waybel_0(X0),X1)
| ~ sP6(X1,a_1_1_waybel_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_731])]) ).
fof(f1616,plain,
( spl38_210
<=> ! [X0,X1] :
( r2_hidden(X1,a_1_1_waybel_0(X0))
| ~ sP5(X1,X0)
| ~ sP6(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_210])]) ).
fof(f2645,plain,
( ! [X0,X1] :
( ~ sP6(X0,a_1_1_waybel_0(X1))
| ~ sP5(a_1_1_waybel_0(X1),X0)
| ~ sP5(a_1_1_waybel_0(X0),X1)
| ~ sP6(X1,a_1_1_waybel_0(X0)) )
| ~ spl38_210
| ~ spl38_334 ),
inference(resolution,[],[f2602,f1617]) ).
fof(f1617,plain,
( ! [X0,X1] :
( r2_hidden(X1,a_1_1_waybel_0(X0))
| ~ sP5(X1,X0)
| ~ sP6(X0,X1) )
| ~ spl38_210 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f6160,plain,
( ~ spl38_729
| spl38_730
| ~ spl38_248
| ~ spl38_330 ),
inference(avatar_split_clause,[],[f2555,f2536,f1882,f6158,f6154]) ).
fof(f6158,plain,
( spl38_730
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_orders_2(sK37) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_730])]) ).
fof(f2555,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_orders_2(sK37) = X1
| ~ m1_relset_1(u1_orders_2(sK37),u1_struct_0(sK37),u1_struct_0(sK37)) )
| ~ spl38_248
| ~ spl38_330 ),
inference(superposition,[],[f1883,f2538]) ).
fof(f6151,plain,
( ~ spl38_727
| spl38_728
| ~ spl38_248
| ~ spl38_328 ),
inference(avatar_split_clause,[],[f2527,f2508,f1882,f6149,f6145]) ).
fof(f6149,plain,
( spl38_728
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_orders_2(sK36) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_728])]) ).
fof(f2527,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_orders_2(sK36) = X1
| ~ m1_relset_1(u1_orders_2(sK36),u1_struct_0(sK36),u1_struct_0(sK36)) )
| ~ spl38_248
| ~ spl38_328 ),
inference(superposition,[],[f1883,f2510]) ).
fof(f6142,plain,
( ~ spl38_725
| spl38_726
| ~ spl38_248
| ~ spl38_327 ),
inference(avatar_split_clause,[],[f2504,f2485,f1882,f6140,f6136]) ).
fof(f6140,plain,
( spl38_726
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_orders_2(sK35) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_726])]) ).
fof(f2504,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_orders_2(sK35) = X1
| ~ m1_relset_1(u1_orders_2(sK35),u1_struct_0(sK35),u1_struct_0(sK35)) )
| ~ spl38_248
| ~ spl38_327 ),
inference(superposition,[],[f1883,f2487]) ).
fof(f6124,plain,
( ~ spl38_37
| spl38_38
| ~ spl38_40
| ~ spl38_41
| ~ spl38_42
| spl38_724
| ~ spl38_509
| ~ spl38_310
| ~ spl38_253
| ~ spl38_287 ),
inference(avatar_split_clause,[],[f2263,f2259,f1972,f2398,f4011,f6121,f802,f797,f792,f782,f777]) ).
fof(f782,plain,
( spl38_38
<=> v3_struct_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_38])]) ).
fof(f6121,plain,
( spl38_724
<=> sP0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_724])]) ).
fof(f2398,plain,
( spl38_310
<=> v24_waybel_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_310])]) ).
fof(f1972,plain,
( spl38_253
<=> ! [X0] :
( sP0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_253])]) ).
fof(f2263,plain,
( ~ v24_waybel_0(sK35)
| ~ v1_yellow_0(sK35)
| sP0(sK35)
| ~ v4_orders_2(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_253
| ~ spl38_287 ),
inference(resolution,[],[f2261,f1973]) ).
fof(f1973,plain,
( ! [X0] :
( ~ v1_lattice3(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| sP0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_253 ),
inference(avatar_component_clause,[],[f1972]) ).
fof(f2261,plain,
( v1_lattice3(sK35)
| ~ spl38_287 ),
inference(avatar_component_clause,[],[f2259]) ).
fof(f6043,plain,
( spl38_722
| ~ spl38_723
| ~ spl38_328
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4257,f4104,f2508,f6040,f6036]) ).
fof(f6040,plain,
( spl38_723
<=> sK36 = k7_lattice3(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_723])]) ).
fof(f4257,plain,
( sK36 != k7_lattice3(sK9)
| u1_struct_0(sK36) = u1_struct_0(sK9)
| ~ spl38_328
| ~ spl38_518 ),
inference(superposition,[],[f4105,f2510]) ).
fof(f5836,plain,
( spl38_721
| ~ spl38_165
| ~ spl38_455 ),
inference(avatar_split_clause,[],[f3549,f3541,f1366,f5834]) ).
fof(f5834,plain,
( spl38_721
<=> ! [X0] :
( sP7(sK15(X0),X0)
| ~ v1_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_721])]) ).
fof(f1366,plain,
( spl38_165
<=> ! [X0] :
( v12_waybel_0(sK15(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_165])]) ).
fof(f3541,plain,
( spl38_455
<=> ! [X0] :
( sP7(sK15(X0),X0)
| ~ v12_waybel_0(sK15(X0),X0)
| ~ v1_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_455])]) ).
fof(f3549,plain,
( ! [X0] :
( sP7(sK15(X0),X0)
| ~ v1_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_165
| ~ spl38_455 ),
inference(duplicate_literal_removal,[],[f3548]) ).
fof(f3548,plain,
( ! [X0] :
( sP7(sK15(X0),X0)
| ~ v1_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_165
| ~ spl38_455 ),
inference(resolution,[],[f3542,f1367]) ).
fof(f1367,plain,
( ! [X0] :
( v12_waybel_0(sK15(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_165 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f3542,plain,
( ! [X0] :
( ~ v12_waybel_0(sK15(X0),X0)
| sP7(sK15(X0),X0)
| ~ v1_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_455 ),
inference(avatar_component_clause,[],[f3541]) ).
fof(f5832,plain,
( spl38_720
| ~ spl38_166
| ~ spl38_453 ),
inference(avatar_split_clause,[],[f3547,f3533,f1370,f5830]) ).
fof(f5830,plain,
( spl38_720
<=> ! [X0] :
( sP5(sK15(X0),X0)
| ~ v2_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_720])]) ).
fof(f1370,plain,
( spl38_166
<=> ! [X0] :
( v13_waybel_0(sK15(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_166])]) ).
fof(f3533,plain,
( spl38_453
<=> ! [X0] :
( sP5(sK15(X0),X0)
| ~ v13_waybel_0(sK15(X0),X0)
| ~ v2_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_453])]) ).
fof(f3547,plain,
( ! [X0] :
( sP5(sK15(X0),X0)
| ~ v2_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_166
| ~ spl38_453 ),
inference(duplicate_literal_removal,[],[f3546]) ).
fof(f3546,plain,
( ! [X0] :
( sP5(sK15(X0),X0)
| ~ v2_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_166
| ~ spl38_453 ),
inference(resolution,[],[f3534,f1371]) ).
fof(f1371,plain,
( ! [X0] :
( v13_waybel_0(sK15(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_166 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f3534,plain,
( ! [X0] :
( ~ v13_waybel_0(sK15(X0),X0)
| sP5(sK15(X0),X0)
| ~ v2_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_453 ),
inference(avatar_component_clause,[],[f3533]) ).
fof(f5828,plain,
( spl38_719
| ~ spl38_71
| ~ spl38_425 ),
inference(avatar_split_clause,[],[f3352,f3325,f943,f5826]) ).
fof(f5826,plain,
( spl38_719
<=> ! [X0] :
( ~ v12_waybel_0(u1_struct_0(X0),X0)
| ~ v1_waybel_0(u1_struct_0(X0),X0)
| v1_xboole_0(u1_struct_0(X0))
| sP7(u1_struct_0(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_719])]) ).
fof(f3325,plain,
( spl38_425
<=> ! [X0,X1] :
( sP7(X0,X1)
| ~ v12_waybel_0(X0,X1)
| ~ v1_waybel_0(X0,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_425])]) ).
fof(f3352,plain,
( ! [X0] :
( ~ v12_waybel_0(u1_struct_0(X0),X0)
| ~ v1_waybel_0(u1_struct_0(X0),X0)
| v1_xboole_0(u1_struct_0(X0))
| sP7(u1_struct_0(X0),X0) )
| ~ spl38_71
| ~ spl38_425 ),
inference(resolution,[],[f3326,f944]) ).
fof(f3326,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| ~ v12_waybel_0(X0,X1)
| ~ v1_waybel_0(X0,X1)
| v1_xboole_0(X0)
| sP7(X0,X1) )
| ~ spl38_425 ),
inference(avatar_component_clause,[],[f3325]) ).
fof(f5824,plain,
( spl38_718
| ~ spl38_71
| ~ spl38_424 ),
inference(avatar_split_clause,[],[f3351,f3321,f943,f5822]) ).
fof(f5822,plain,
( spl38_718
<=> ! [X0] :
( ~ v13_waybel_0(u1_struct_0(X0),X0)
| ~ v2_waybel_0(u1_struct_0(X0),X0)
| v1_xboole_0(u1_struct_0(X0))
| sP5(u1_struct_0(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_718])]) ).
fof(f3321,plain,
( spl38_424
<=> ! [X0,X1] :
( sP5(X0,X1)
| ~ v13_waybel_0(X0,X1)
| ~ v2_waybel_0(X0,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_424])]) ).
fof(f3351,plain,
( ! [X0] :
( ~ v13_waybel_0(u1_struct_0(X0),X0)
| ~ v2_waybel_0(u1_struct_0(X0),X0)
| v1_xboole_0(u1_struct_0(X0))
| sP5(u1_struct_0(X0),X0) )
| ~ spl38_71
| ~ spl38_424 ),
inference(resolution,[],[f3322,f944]) ).
fof(f3322,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| ~ v13_waybel_0(X0,X1)
| ~ v2_waybel_0(X0,X1)
| v1_xboole_0(X0)
| sP5(X0,X1) )
| ~ spl38_424 ),
inference(avatar_component_clause,[],[f3321]) ).
fof(f5820,plain,
( spl38_717
| ~ spl38_133
| ~ spl38_419 ),
inference(avatar_split_clause,[],[f3330,f3301,f1214,f5818]) ).
fof(f5818,plain,
( spl38_717
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_717])]) ).
fof(f3330,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl38_133
| ~ spl38_419 ),
inference(resolution,[],[f3302,f1215]) ).
fof(f5816,plain,
( spl38_716
| ~ spl38_322
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3176,f3091,f2465,f5814]) ).
fof(f5814,plain,
( spl38_716
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK18(X1)),X0)
| sK18(X1) = X0
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ sP3(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_716])]) ).
fof(f2465,plain,
( spl38_322
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK18(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_322])]) ).
fof(f3176,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK18(X1)),X0)
| sK18(X1) = X0
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ sP3(X1) )
| ~ spl38_322
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2466]) ).
fof(f2466,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK18(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0) )
| ~ spl38_322 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f5812,plain,
( spl38_715
| ~ spl38_321
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3171,f3091,f2461,f5810]) ).
fof(f5810,plain,
( spl38_715
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK13(X1)),X0)
| sK13(X1) = X0
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_715])]) ).
fof(f2461,plain,
( spl38_321
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK13(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_321])]) ).
fof(f3171,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK13(X1)),X0)
| sK13(X1) = X0
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_321
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2462]) ).
fof(f2462,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK13(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_321 ),
inference(avatar_component_clause,[],[f2461]) ).
fof(f5808,plain,
( spl38_714
| ~ spl38_320
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3169,f3091,f2457,f5806]) ).
fof(f5806,plain,
( spl38_714
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK12(X1)),X0)
| sK12(X1) = X0
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_714])]) ).
fof(f2457,plain,
( spl38_320
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK12(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_320])]) ).
fof(f3169,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK12(X1)),X0)
| sK12(X1) = X0
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_320
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2458]) ).
fof(f2458,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK12(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_320 ),
inference(avatar_component_clause,[],[f2457]) ).
fof(f5804,plain,
( spl38_713
| ~ spl38_322
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3146,f3083,f2465,f5802]) ).
fof(f5802,plain,
( spl38_713
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_713])]) ).
fof(f3146,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0) )
| ~ spl38_322
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2466]) ).
fof(f5800,plain,
( spl38_712
| ~ spl38_321
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3141,f3083,f2461,f5798]) ).
fof(f5798,plain,
( spl38_712
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_712])]) ).
fof(f3141,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_321
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2462]) ).
fof(f5796,plain,
( spl38_711
| ~ spl38_320
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3139,f3083,f2457,f5794]) ).
fof(f5794,plain,
( spl38_711
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_711])]) ).
fof(f3139,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_320
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2458]) ).
fof(f5792,plain,
( spl38_710
| ~ spl38_226
| ~ spl38_370 ),
inference(avatar_split_clause,[],[f3046,f2903,f1741,f5790]) ).
fof(f5790,plain,
( spl38_710
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_710])]) ).
fof(f1741,plain,
( spl38_226
<=> ! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_226])]) ).
fof(f2903,plain,
( spl38_370
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_370])]) ).
fof(f3046,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) )
| ~ spl38_226
| ~ spl38_370 ),
inference(resolution,[],[f2904,f1742]) ).
fof(f1742,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl38_226 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f2904,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl38_370 ),
inference(avatar_component_clause,[],[f2903]) ).
fof(f5788,plain,
( spl38_54
| ~ spl38_56
| ~ spl38_57
| ~ spl38_58
| ~ spl38_63
| ~ spl38_53
| ~ spl38_709
| ~ spl38_250
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2847,f2834,f1923,f5785,f857,f907,f882,f877,f872,f862]) ).
fof(f862,plain,
( spl38_54
<=> v3_struct_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_54])]) ).
fof(f907,plain,
( spl38_63
<=> v2_yellow_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_63])]) ).
fof(f5785,plain,
( spl38_709
<=> v1_xboole_0(a_1_1_waybel_0(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_709])]) ).
fof(f1923,plain,
( spl38_250
<=> ! [X0] :
( ~ v1_xboole_0(k9_waybel_0(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_250])]) ).
fof(f2834,plain,
( spl38_365
<=> k9_waybel_0(sK37) = a_1_1_waybel_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_365])]) ).
fof(f2847,plain,
( ~ v1_xboole_0(a_1_1_waybel_0(sK37))
| ~ l1_orders_2(sK37)
| ~ v2_yellow_0(sK37)
| ~ v4_orders_2(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| v3_struct_0(sK37)
| ~ spl38_250
| ~ spl38_365 ),
inference(superposition,[],[f1924,f2836]) ).
fof(f2836,plain,
( k9_waybel_0(sK37) = a_1_1_waybel_0(sK37)
| ~ spl38_365 ),
inference(avatar_component_clause,[],[f2834]) ).
fof(f1924,plain,
( ! [X0] :
( ~ v1_xboole_0(k9_waybel_0(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_250 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f5783,plain,
( spl38_45
| ~ spl38_47
| ~ spl38_48
| ~ spl38_49
| ~ spl38_392
| ~ spl38_44
| ~ spl38_708
| ~ spl38_250
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2832,f2819,f1923,f5780,f812,f3020,f837,f832,f827,f817]) ).
fof(f817,plain,
( spl38_45
<=> v3_struct_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_45])]) ).
fof(f3020,plain,
( spl38_392
<=> v2_yellow_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_392])]) ).
fof(f5780,plain,
( spl38_708
<=> v1_xboole_0(a_1_1_waybel_0(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_708])]) ).
fof(f2819,plain,
( spl38_364
<=> k9_waybel_0(sK36) = a_1_1_waybel_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_364])]) ).
fof(f2832,plain,
( ~ v1_xboole_0(a_1_1_waybel_0(sK36))
| ~ l1_orders_2(sK36)
| ~ v2_yellow_0(sK36)
| ~ v4_orders_2(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ spl38_250
| ~ spl38_364 ),
inference(superposition,[],[f1924,f2821]) ).
fof(f2821,plain,
( k9_waybel_0(sK36) = a_1_1_waybel_0(sK36)
| ~ spl38_364 ),
inference(avatar_component_clause,[],[f2819]) ).
fof(f5778,plain,
( spl38_706
| ~ spl38_707
| ~ spl38_327
| ~ spl38_518 ),
inference(avatar_split_clause,[],[f4255,f4104,f2485,f5775,f5771]) ).
fof(f5775,plain,
( spl38_707
<=> sK35 = k7_lattice3(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_707])]) ).
fof(f4255,plain,
( sK35 != k7_lattice3(sK9)
| u1_struct_0(sK35) = u1_struct_0(sK9)
| ~ spl38_327
| ~ spl38_518 ),
inference(superposition,[],[f4105,f2487]) ).
fof(f5769,plain,
( spl38_38
| ~ spl38_40
| ~ spl38_41
| ~ spl38_42
| ~ spl38_390
| ~ spl38_37
| ~ spl38_705
| ~ spl38_250
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2812,f2799,f1923,f5766,f777,f3011,f802,f797,f792,f782]) ).
fof(f3011,plain,
( spl38_390
<=> v2_yellow_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_390])]) ).
fof(f5766,plain,
( spl38_705
<=> v1_xboole_0(a_1_1_waybel_0(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_705])]) ).
fof(f2799,plain,
( spl38_362
<=> k9_waybel_0(sK35) = a_1_1_waybel_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_362])]) ).
fof(f2812,plain,
( ~ v1_xboole_0(a_1_1_waybel_0(sK35))
| ~ l1_orders_2(sK35)
| ~ v2_yellow_0(sK35)
| ~ v4_orders_2(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ spl38_250
| ~ spl38_362 ),
inference(superposition,[],[f1924,f2801]) ).
fof(f2801,plain,
( k9_waybel_0(sK35) = a_1_1_waybel_0(sK35)
| ~ spl38_362 ),
inference(avatar_component_clause,[],[f2799]) ).
fof(f5764,plain,
( spl38_27
| ~ spl38_28
| ~ spl38_29
| ~ spl38_30
| ~ spl38_35
| ~ spl38_26
| ~ spl38_704
| ~ spl38_250
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2797,f2784,f1923,f5761,f722,f767,f742,f737,f732,f727]) ).
fof(f727,plain,
( spl38_27
<=> v3_struct_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_27])]) ).
fof(f767,plain,
( spl38_35
<=> v2_yellow_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_35])]) ).
fof(f5761,plain,
( spl38_704
<=> v1_xboole_0(a_1_1_waybel_0(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_704])]) ).
fof(f2784,plain,
( spl38_361
<=> k9_waybel_0(sK34) = a_1_1_waybel_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_361])]) ).
fof(f2797,plain,
( ~ v1_xboole_0(a_1_1_waybel_0(sK34))
| ~ l1_orders_2(sK34)
| ~ v2_yellow_0(sK34)
| ~ v4_orders_2(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ spl38_250
| ~ spl38_361 ),
inference(superposition,[],[f1924,f2786]) ).
fof(f2786,plain,
( k9_waybel_0(sK34) = a_1_1_waybel_0(sK34)
| ~ spl38_361 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f5759,plain,
( spl38_703
| ~ spl38_340
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2689,f2634,f2626,f5757]) ).
fof(f5757,plain,
( spl38_703
<=> ! [X0,X1] :
( sK18(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK18(X1)),u1_struct_0(X1))
| ~ sP3(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_703])]) ).
fof(f2689,plain,
( ! [X0,X1] :
( sK18(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK18(X1)),u1_struct_0(X1))
| ~ sP3(X1) )
| ~ spl38_340
| ~ spl38_342 ),
inference(resolution,[],[f2635,f2627]) ).
fof(f5755,plain,
( spl38_702
| ~ spl38_338
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2687,f2634,f2617,f5753]) ).
fof(f5753,plain,
( spl38_702
<=> ! [X0,X1] :
( sK13(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK13(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_702])]) ).
fof(f2687,plain,
( ! [X0,X1] :
( sK13(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK13(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_338
| ~ spl38_342 ),
inference(resolution,[],[f2635,f2618]) ).
fof(f5751,plain,
( spl38_701
| ~ spl38_337
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2685,f2634,f2613,f5749]) ).
fof(f5749,plain,
( spl38_701
<=> ! [X0,X1] :
( sK12(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK12(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_701])]) ).
fof(f2685,plain,
( ! [X0,X1] :
( sK12(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK12(X1)),u1_struct_0(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_337
| ~ spl38_342 ),
inference(resolution,[],[f2635,f2614]) ).
fof(f5747,plain,
( spl38_700
| ~ spl38_340
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2672,f2630,f2626,f5745]) ).
fof(f5745,plain,
( spl38_700
<=> ! [X0,X1] :
( sK18(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK18(X0),X1),u1_struct_0(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_700])]) ).
fof(f2672,plain,
( ! [X0,X1] :
( sK18(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK18(X0),X1),u1_struct_0(X0))
| ~ sP3(X0) )
| ~ spl38_340
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2627]) ).
fof(f5743,plain,
( spl38_699
| ~ spl38_338
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2670,f2630,f2617,f5741]) ).
fof(f5741,plain,
( spl38_699
<=> ! [X0,X1] :
( sK13(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK13(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_699])]) ).
fof(f2670,plain,
( ! [X0,X1] :
( sK13(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK13(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_338
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2618]) ).
fof(f5739,plain,
( spl38_698
| ~ spl38_337
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2668,f2630,f2613,f5737]) ).
fof(f5737,plain,
( spl38_698
<=> ! [X0,X1] :
( sK12(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK12(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_698])]) ).
fof(f2668,plain,
( ! [X0,X1] :
( sK12(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK12(X0),X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_337
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2614]) ).
fof(f5735,plain,
( spl38_697
| ~ spl38_331
| ~ spl38_336 ),
inference(avatar_split_clause,[],[f2651,f2609,f2589,f5733]) ).
fof(f5733,plain,
( spl38_697
<=> ! [X0,X1] :
( ~ sP8(X0,k1_zfmisc_1(X1))
| ~ sP7(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(a_1_0_waybel_0(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_697])]) ).
fof(f2651,plain,
( ! [X0,X1] :
( ~ sP8(X0,k1_zfmisc_1(X1))
| ~ sP7(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(a_1_0_waybel_0(X0),X1) )
| ~ spl38_331
| ~ spl38_336 ),
inference(resolution,[],[f2610,f2590]) ).
fof(f5727,plain,
( spl38_696
| ~ spl38_331
| ~ spl38_334 ),
inference(avatar_split_clause,[],[f2647,f2601,f2589,f5725]) ).
fof(f5725,plain,
( spl38_696
<=> ! [X0,X1] :
( ~ sP6(X0,k1_zfmisc_1(X1))
| ~ sP5(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(a_1_1_waybel_0(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_696])]) ).
fof(f2647,plain,
( ! [X0,X1] :
( ~ sP6(X0,k1_zfmisc_1(X1))
| ~ sP5(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ r1_tarski(a_1_1_waybel_0(X0),X1) )
| ~ spl38_331
| ~ spl38_334 ),
inference(resolution,[],[f2602,f2590]) ).
fof(f5723,plain,
( spl38_695
| ~ spl38_235
| ~ spl38_322 ),
inference(avatar_split_clause,[],[f2581,f2465,f1793,f5721]) ).
fof(f5721,plain,
( spl38_695
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0)
| r2_hidden(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_695])]) ).
fof(f2581,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0)
| r2_hidden(sK23(sK18(X0),X1),X1)
| sK18(X0) = X1 )
| ~ spl38_235
| ~ spl38_322 ),
inference(resolution,[],[f2466,f1794]) ).
fof(f5719,plain,
( spl38_694
| ~ spl38_235
| ~ spl38_322 ),
inference(avatar_split_clause,[],[f2580,f2465,f1793,f5717]) ).
fof(f5717,plain,
( spl38_694
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0)
| r2_hidden(sK23(X1,sK18(X0)),X1)
| sK18(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_694])]) ).
fof(f2580,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0)
| r2_hidden(sK23(X1,sK18(X0)),X1)
| sK18(X0) = X1 )
| ~ spl38_235
| ~ spl38_322 ),
inference(resolution,[],[f2466,f1794]) ).
fof(f5715,plain,
( spl38_693
| ~ spl38_235
| ~ spl38_321 ),
inference(avatar_split_clause,[],[f2578,f2461,f1793,f5713]) ).
fof(f5713,plain,
( spl38_693
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_693])]) ).
fof(f2578,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK13(X0),X1),X1)
| sK13(X0) = X1 )
| ~ spl38_235
| ~ spl38_321 ),
inference(resolution,[],[f2462,f1794]) ).
fof(f5711,plain,
( spl38_692
| ~ spl38_235
| ~ spl38_321 ),
inference(avatar_split_clause,[],[f2577,f2461,f1793,f5709]) ).
fof(f5709,plain,
( spl38_692
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK13(X0)),X1)
| sK13(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_692])]) ).
fof(f2577,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK13(X0)),X1)
| sK13(X0) = X1 )
| ~ spl38_235
| ~ spl38_321 ),
inference(resolution,[],[f2462,f1794]) ).
fof(f5707,plain,
( spl38_691
| ~ spl38_235
| ~ spl38_320 ),
inference(avatar_split_clause,[],[f2575,f2457,f1793,f5705]) ).
fof(f5705,plain,
( spl38_691
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_691])]) ).
fof(f2575,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(sK12(X0),X1),X1)
| sK12(X0) = X1 )
| ~ spl38_235
| ~ spl38_320 ),
inference(resolution,[],[f2458,f1794]) ).
fof(f5703,plain,
( spl38_690
| ~ spl38_235
| ~ spl38_320 ),
inference(avatar_split_clause,[],[f2574,f2457,f1793,f5701]) ).
fof(f5701,plain,
( spl38_690
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK12(X0)),X1)
| sK12(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_690])]) ).
fof(f2574,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| r2_hidden(sK23(X1,sK12(X0)),X1)
| sK12(X0) = X1 )
| ~ spl38_235
| ~ spl38_320 ),
inference(resolution,[],[f2458,f1794]) ).
fof(f5699,plain,
( spl38_689
| ~ spl38_140
| ~ spl38_318 ),
inference(avatar_split_clause,[],[f2567,f2449,f1254,f5697]) ).
fof(f5697,plain,
( spl38_689
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK11(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK11(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_689])]) ).
fof(f1254,plain,
( spl38_140
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_140])]) ).
fof(f2567,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK11(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK11(k2_zfmisc_1(X0,X1)))) )
| ~ spl38_140
| ~ spl38_318 ),
inference(resolution,[],[f2450,f1255]) ).
fof(f1255,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 )
| ~ spl38_140 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f5695,plain,
( spl38_688
| ~ spl38_140
| ~ spl38_687 ),
inference(avatar_split_clause,[],[f5592,f5526,f1254,f5692]) ).
fof(f5692,plain,
( spl38_688
<=> u1_orders_2(sK9) = k4_relat_1(k4_relat_1(u1_orders_2(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_688])]) ).
fof(f5592,plain,
( u1_orders_2(sK9) = k4_relat_1(k4_relat_1(u1_orders_2(sK9)))
| ~ spl38_140
| ~ spl38_687 ),
inference(resolution,[],[f5528,f1255]) ).
fof(f5529,plain,
( spl38_687
| ~ spl38_303
| ~ spl38_668 ),
inference(avatar_split_clause,[],[f5431,f5385,f2336,f5526]) ).
fof(f2336,plain,
( spl38_303
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_303])]) ).
fof(f5385,plain,
( spl38_668
<=> m2_relset_1(u1_orders_2(sK9),u1_struct_0(sK9),u1_struct_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_668])]) ).
fof(f5431,plain,
( v1_relat_1(u1_orders_2(sK9))
| ~ spl38_303
| ~ spl38_668 ),
inference(resolution,[],[f5387,f2337]) ).
fof(f2337,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl38_303 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f5387,plain,
( m2_relset_1(u1_orders_2(sK9),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_668 ),
inference(avatar_component_clause,[],[f5385]) ).
fof(f5464,plain,
( spl38_686
| ~ spl38_297
| ~ spl38_423 ),
inference(avatar_split_clause,[],[f3344,f3317,f2312,f5462]) ).
fof(f5462,plain,
( spl38_686
<=> ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_686])]) ).
fof(f3344,plain,
( ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK17(X0)) )
| ~ spl38_297
| ~ spl38_423 ),
inference(resolution,[],[f3318,f2313]) ).
fof(f5460,plain,
( spl38_685
| ~ spl38_297
| ~ spl38_422 ),
inference(avatar_split_clause,[],[f3337,f3313,f2312,f5458]) ).
fof(f5458,plain,
( spl38_685
<=> ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_685])]) ).
fof(f3337,plain,
( ! [X0] :
( ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK16(X0)) )
| ~ spl38_297
| ~ spl38_422 ),
inference(resolution,[],[f3314,f2313]) ).
fof(f5456,plain,
( spl38_684
| ~ spl38_133
| ~ spl38_417 ),
inference(avatar_split_clause,[],[f3299,f3254,f1214,f5454]) ).
fof(f5454,plain,
( spl38_684
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP7(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK22(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_684])]) ).
fof(f3254,plain,
( spl38_417
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_417])]) ).
fof(f3299,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP7(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK22(X1,X0)) )
| ~ spl38_133
| ~ spl38_417 ),
inference(resolution,[],[f3255,f1215]) ).
fof(f3255,plain,
( ! [X0,X1] :
( r2_hidden(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP7(X0,X1) )
| ~ spl38_417 ),
inference(avatar_component_clause,[],[f3254]) ).
fof(f5452,plain,
( spl38_683
| ~ spl38_133
| ~ spl38_416 ),
inference(avatar_split_clause,[],[f3296,f3250,f1214,f5450]) ).
fof(f5450,plain,
( spl38_683
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP5(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK21(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_683])]) ).
fof(f3250,plain,
( spl38_416
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_416])]) ).
fof(f3296,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP5(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK21(X1,X0)) )
| ~ spl38_133
| ~ spl38_416 ),
inference(resolution,[],[f3251,f1215]) ).
fof(f3251,plain,
( ! [X0,X1] :
( r2_hidden(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP5(X0,X1) )
| ~ spl38_416 ),
inference(avatar_component_clause,[],[f3250]) ).
fof(f5448,plain,
( spl38_682
| ~ spl38_133
| ~ spl38_415 ),
inference(avatar_split_clause,[],[f3293,f3246,f1214,f5446]) ).
fof(f5446,plain,
( spl38_682
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_682])]) ).
fof(f3246,plain,
( spl38_415
<=> ! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK15(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_415])]) ).
fof(f3293,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK15(X0)) )
| ~ spl38_133
| ~ spl38_415 ),
inference(resolution,[],[f3247,f1215]) ).
fof(f3247,plain,
( ! [X0] :
( r2_hidden(sK15(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_415 ),
inference(avatar_component_clause,[],[f3246]) ).
fof(f5444,plain,
( spl38_681
| ~ spl38_133
| ~ spl38_414 ),
inference(avatar_split_clause,[],[f3285,f3242,f1214,f5442]) ).
fof(f5442,plain,
( spl38_681
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_681])]) ).
fof(f3242,plain,
( spl38_414
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK14(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_414])]) ).
fof(f3285,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK14(X0)) )
| ~ spl38_133
| ~ spl38_414 ),
inference(resolution,[],[f3243,f1215]) ).
fof(f3243,plain,
( ! [X0] :
( r2_hidden(sK14(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl38_414 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f5440,plain,
( spl38_680
| ~ spl38_247
| ~ spl38_407 ),
inference(avatar_split_clause,[],[f3215,f3124,f1878,f5438]) ).
fof(f5438,plain,
( spl38_680
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| u1_struct_0(sK37) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_680])]) ).
fof(f3215,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK37)
| u1_struct_0(sK37) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_407 ),
inference(superposition,[],[f1879,f3126]) ).
fof(f5436,plain,
( spl38_679
| ~ spl38_247
| ~ spl38_406 ),
inference(avatar_split_clause,[],[f3211,f3119,f1878,f5434]) ).
fof(f5434,plain,
( spl38_679
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| u1_struct_0(sK36) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_679])]) ).
fof(f3211,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK36)
| u1_struct_0(sK36) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_406 ),
inference(superposition,[],[f1879,f3121]) ).
fof(f5428,plain,
( spl38_678
| ~ spl38_247
| ~ spl38_404 ),
inference(avatar_split_clause,[],[f3207,f3109,f1878,f5426]) ).
fof(f5426,plain,
( spl38_678
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| u1_struct_0(sK35) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_678])]) ).
fof(f3207,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK35)
| u1_struct_0(sK35) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_404 ),
inference(superposition,[],[f1879,f3111]) ).
fof(f5424,plain,
( spl38_677
| ~ spl38_247
| ~ spl38_403 ),
inference(avatar_split_clause,[],[f3198,f3104,f1878,f5422]) ).
fof(f5422,plain,
( spl38_677
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| u1_struct_0(sK34) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_677])]) ).
fof(f3198,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK34)
| u1_struct_0(sK34) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_403 ),
inference(superposition,[],[f1879,f3106]) ).
fof(f5420,plain,
( spl38_676
| ~ spl38_247
| ~ spl38_402 ),
inference(avatar_split_clause,[],[f3194,f3099,f1878,f5418]) ).
fof(f5418,plain,
( spl38_676
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| u1_struct_0(sK29) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_676])]) ).
fof(f3194,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK29)
| u1_struct_0(sK29) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_402 ),
inference(superposition,[],[f1879,f3101]) ).
fof(f5416,plain,
( spl38_675
| ~ spl38_307
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3178,f3091,f2378,f5414]) ).
fof(f5414,plain,
( spl38_675
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X0)
| sK19(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_675])]) ).
fof(f2378,plain,
( spl38_307
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK19(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_307])]) ).
fof(f3178,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X0)
| sK19(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X1) )
| ~ spl38_307
| ~ spl38_400 ),
inference(resolution,[],[f3092,f2379]) ).
fof(f2379,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK19(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl38_307 ),
inference(avatar_component_clause,[],[f2378]) ).
fof(f5412,plain,
( spl38_674
| ~ spl38_307
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3148,f3083,f2378,f5410]) ).
fof(f5410,plain,
( spl38_674
<=> ! [X0,X1] :
( m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_674])]) ).
fof(f3148,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) )
| ~ spl38_307
| ~ spl38_398 ),
inference(resolution,[],[f3084,f2379]) ).
fof(f5408,plain,
( spl38_673
| ~ spl38_297
| ~ spl38_375 ),
inference(avatar_split_clause,[],[f3069,f2924,f2312,f5406]) ).
fof(f5406,plain,
( spl38_673
<=> ! [X0,X1] :
( m1_subset_1(sK19(sK22(X0,X1)),u1_struct_0(X1))
| ~ sP7(X0,X1)
| v1_xboole_0(sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_673])]) ).
fof(f3069,plain,
( ! [X0,X1] :
( m1_subset_1(sK19(sK22(X0,X1)),u1_struct_0(X1))
| ~ sP7(X0,X1)
| v1_xboole_0(sK22(X0,X1)) )
| ~ spl38_297
| ~ spl38_375 ),
inference(resolution,[],[f2925,f2313]) ).
fof(f5404,plain,
( spl38_672
| ~ spl38_297
| ~ spl38_374 ),
inference(avatar_split_clause,[],[f3059,f2920,f2312,f5402]) ).
fof(f5402,plain,
( spl38_672
<=> ! [X0,X1] :
( m1_subset_1(sK19(sK21(X0,X1)),u1_struct_0(X1))
| ~ sP5(X0,X1)
| v1_xboole_0(sK21(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_672])]) ).
fof(f3059,plain,
( ! [X0,X1] :
( m1_subset_1(sK19(sK21(X0,X1)),u1_struct_0(X1))
| ~ sP5(X0,X1)
| v1_xboole_0(sK21(X0,X1)) )
| ~ spl38_297
| ~ spl38_374 ),
inference(resolution,[],[f2921,f2313]) ).
fof(f5400,plain,
( spl38_671
| ~ spl38_226
| ~ spl38_350 ),
inference(avatar_split_clause,[],[f2878,f2725,f1741,f5398]) ).
fof(f5398,plain,
( spl38_671
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k6_relset_1(X1,X0,X3))
| ~ m1_relset_1(X3,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_671])]) ).
fof(f2725,plain,
( spl38_350
<=> ! [X2,X0,X1,X3] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_350])]) ).
fof(f2878,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,k6_relset_1(X1,X0,X3))
| ~ m1_relset_1(X3,X1,X0) )
| ~ spl38_226
| ~ spl38_350 ),
inference(resolution,[],[f2726,f1742]) ).
fof(f2726,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl38_350 ),
inference(avatar_component_clause,[],[f2725]) ).
fof(f5396,plain,
( spl38_670
| ~ spl38_316
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2691,f2634,f2437,f5394]) ).
fof(f5394,plain,
( spl38_670
<=> ! [X0,X1] :
( sK19(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_670])]) ).
fof(f2691,plain,
( ! [X0,X1] :
( sK19(k1_zfmisc_1(X1)) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK19(k1_zfmisc_1(X1))),X1) )
| ~ spl38_316
| ~ spl38_342 ),
inference(resolution,[],[f2635,f2438]) ).
fof(f5392,plain,
( spl38_669
| ~ spl38_326
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2684,f2634,f2481,f5390]) ).
fof(f5390,plain,
( spl38_669
<=> ! [X0,X1] :
( sK11(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK11(X1)),X1)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_669])]) ).
fof(f2684,plain,
( ! [X0,X1] :
( sK11(X1) = X0
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,sK11(X1)),X1)
| v1_xboole_0(X1) )
| ~ spl38_326
| ~ spl38_342 ),
inference(resolution,[],[f2635,f2482]) ).
fof(f5388,plain,
( spl38_668
| ~ spl38_182
| ~ spl38_532 ),
inference(avatar_split_clause,[],[f4604,f4180,f1434,f5385]) ).
fof(f4604,plain,
( m2_relset_1(u1_orders_2(sK9),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_182
| ~ spl38_532 ),
inference(resolution,[],[f4181,f1435]) ).
fof(f5383,plain,
( spl38_667
| ~ spl38_316
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2674,f2630,f2437,f5381]) ).
fof(f5381,plain,
( spl38_667
<=> ! [X0,X1] :
( sK19(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_667])]) ).
fof(f2674,plain,
( ! [X0,X1] :
( sK19(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK19(k1_zfmisc_1(X0)),X1),X0) )
| ~ spl38_316
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2438]) ).
fof(f5379,plain,
( spl38_666
| ~ spl38_326
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2667,f2630,f2481,f5377]) ).
fof(f5377,plain,
( spl38_666
<=> ! [X0,X1] :
( sK11(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK11(X0),X1),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_666])]) ).
fof(f2667,plain,
( ! [X0,X1] :
( sK11(X0) = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(sK11(X0),X1),X0)
| v1_xboole_0(X0) )
| ~ spl38_326
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2482]) ).
fof(f5375,plain,
( spl38_665
| ~ spl38_224
| ~ spl38_324 ),
inference(avatar_split_clause,[],[f2583,f2473,f1733,f5373]) ).
fof(f5373,plain,
( spl38_665
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ v1_xboole_0(a_1_0_waybel_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_665])]) ).
fof(f2473,plain,
( spl38_324
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ sP8(X1,X0)
| ~ v1_xboole_0(a_1_0_waybel_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_324])]) ).
fof(f2583,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ v1_xboole_0(a_1_0_waybel_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_224
| ~ spl38_324 ),
inference(resolution,[],[f2474,f1734]) ).
fof(f2474,plain,
( ! [X0,X1] :
( ~ sP8(X1,X0)
| ~ sP7(X0,X1)
| ~ v1_xboole_0(a_1_0_waybel_0(X1)) )
| ~ spl38_324 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f5371,plain,
( spl38_664
| ~ spl38_223
| ~ spl38_323 ),
inference(avatar_split_clause,[],[f2582,f2469,f1729,f5369]) ).
fof(f5369,plain,
( spl38_664
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ v1_xboole_0(a_1_1_waybel_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_664])]) ).
fof(f2469,plain,
( spl38_323
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ sP6(X1,X0)
| ~ v1_xboole_0(a_1_1_waybel_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_323])]) ).
fof(f2582,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ v1_xboole_0(a_1_1_waybel_0(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_223
| ~ spl38_323 ),
inference(resolution,[],[f2470,f1730]) ).
fof(f2470,plain,
( ! [X0,X1] :
( ~ sP6(X1,X0)
| ~ sP5(X0,X1)
| ~ v1_xboole_0(a_1_1_waybel_0(X1)) )
| ~ spl38_323 ),
inference(avatar_component_clause,[],[f2469]) ).
fof(f5367,plain,
( spl38_663
| ~ spl38_235
| ~ spl38_307 ),
inference(avatar_split_clause,[],[f2387,f2378,f1793,f5365]) ).
fof(f5365,plain,
( spl38_663
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_663])]) ).
fof(f2387,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK23(sK19(k1_zfmisc_1(X0)),X1),X1)
| sK19(k1_zfmisc_1(X0)) = X1 )
| ~ spl38_235
| ~ spl38_307 ),
inference(resolution,[],[f2379,f1794]) ).
fof(f5363,plain,
( spl38_662
| ~ spl38_235
| ~ spl38_307 ),
inference(avatar_split_clause,[],[f2386,f2378,f1793,f5361]) ).
fof(f5361,plain,
( spl38_662
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK23(X1,sK19(k1_zfmisc_1(X0))),X1)
| sK19(k1_zfmisc_1(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_662])]) ).
fof(f2386,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| r2_hidden(sK23(X1,sK19(k1_zfmisc_1(X0))),X1)
| sK19(k1_zfmisc_1(X0)) = X1 )
| ~ spl38_235
| ~ spl38_307 ),
inference(resolution,[],[f2379,f1794]) ).
fof(f5327,plain,
( spl38_661
| ~ spl38_73
| ~ spl38_633 ),
inference(avatar_split_clause,[],[f5184,f5093,f951,f5324]) ).
fof(f5324,plain,
( spl38_661
<=> l1_struct_0(g1_orders_2(u1_struct_0(sK9),u1_orders_2(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_661])]) ).
fof(f5093,plain,
( spl38_633
<=> l1_orders_2(g1_orders_2(u1_struct_0(sK9),u1_orders_2(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_633])]) ).
fof(f5184,plain,
( l1_struct_0(g1_orders_2(u1_struct_0(sK9),u1_orders_2(sK9)))
| ~ spl38_73
| ~ spl38_633 ),
inference(resolution,[],[f5095,f952]) ).
fof(f5095,plain,
( l1_orders_2(g1_orders_2(u1_struct_0(sK9),u1_orders_2(sK9)))
| ~ spl38_633 ),
inference(avatar_component_clause,[],[f5093]) ).
fof(f5219,plain,
( spl38_660
| ~ spl38_121
| ~ spl38_444 ),
inference(avatar_split_clause,[],[f3481,f3469,f1165,f5217]) ).
fof(f5217,plain,
( spl38_660
<=> ! [X0] :
( sP7(sK18(X0),X0)
| ~ v1_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_660])]) ).
fof(f1165,plain,
( spl38_121
<=> ! [X0] :
( v12_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_121])]) ).
fof(f3469,plain,
( spl38_444
<=> ! [X0] :
( sP7(sK18(X0),X0)
| ~ v12_waybel_0(sK18(X0),X0)
| ~ v1_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_444])]) ).
fof(f3481,plain,
( ! [X0] :
( sP7(sK18(X0),X0)
| ~ v1_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) )
| ~ spl38_121
| ~ spl38_444 ),
inference(duplicate_literal_removal,[],[f3480]) ).
fof(f3480,plain,
( ! [X0] :
( sP7(sK18(X0),X0)
| ~ v1_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0)
| ~ sP3(X0) )
| ~ spl38_121
| ~ spl38_444 ),
inference(resolution,[],[f3470,f1166]) ).
fof(f1166,plain,
( ! [X0] :
( v12_waybel_0(sK18(X0),X0)
| ~ sP3(X0) )
| ~ spl38_121 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f3470,plain,
( ! [X0] :
( ~ v12_waybel_0(sK18(X0),X0)
| sP7(sK18(X0),X0)
| ~ v1_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) )
| ~ spl38_444 ),
inference(avatar_component_clause,[],[f3469]) ).
fof(f5215,plain,
( spl38_659
| ~ spl38_114
| ~ spl38_440 ),
inference(avatar_split_clause,[],[f3479,f3452,f1136,f5213]) ).
fof(f5213,plain,
( spl38_659
<=> ! [X0] :
( sP7(sK12(X0),X0)
| ~ v1_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_659])]) ).
fof(f1136,plain,
( spl38_114
<=> ! [X0] :
( v12_waybel_0(sK12(X0),X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_114])]) ).
fof(f3452,plain,
( spl38_440
<=> ! [X0] :
( sP7(sK12(X0),X0)
| ~ v12_waybel_0(sK12(X0),X0)
| ~ v1_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_440])]) ).
fof(f3479,plain,
( ! [X0] :
( sP7(sK12(X0),X0)
| ~ v1_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_114
| ~ spl38_440 ),
inference(duplicate_literal_removal,[],[f3478]) ).
fof(f3478,plain,
( ! [X0] :
( sP7(sK12(X0),X0)
| ~ v1_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_114
| ~ spl38_440 ),
inference(resolution,[],[f3453,f1137]) ).
fof(f1137,plain,
( ! [X0] :
( v12_waybel_0(sK12(X0),X0)
| ~ l1_orders_2(X0) )
| ~ spl38_114 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f3453,plain,
( ! [X0] :
( ~ v12_waybel_0(sK12(X0),X0)
| sP7(sK12(X0),X0)
| ~ v1_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_440 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f5211,plain,
( spl38_658
| ~ spl38_122
| ~ spl38_439 ),
inference(avatar_split_clause,[],[f3477,f3448,f1169,f5209]) ).
fof(f5209,plain,
( spl38_658
<=> ! [X0] :
( sP5(sK18(X0),X0)
| ~ v2_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_658])]) ).
fof(f1169,plain,
( spl38_122
<=> ! [X0] :
( v13_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_122])]) ).
fof(f3448,plain,
( spl38_439
<=> ! [X0] :
( sP5(sK18(X0),X0)
| ~ v13_waybel_0(sK18(X0),X0)
| ~ v2_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_439])]) ).
fof(f3477,plain,
( ! [X0] :
( sP5(sK18(X0),X0)
| ~ v2_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) )
| ~ spl38_122
| ~ spl38_439 ),
inference(duplicate_literal_removal,[],[f3476]) ).
fof(f3476,plain,
( ! [X0] :
( sP5(sK18(X0),X0)
| ~ v2_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0)
| ~ sP3(X0) )
| ~ spl38_122
| ~ spl38_439 ),
inference(resolution,[],[f3449,f1170]) ).
fof(f1170,plain,
( ! [X0] :
( v13_waybel_0(sK18(X0),X0)
| ~ sP3(X0) )
| ~ spl38_122 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f3449,plain,
( ! [X0] :
( ~ v13_waybel_0(sK18(X0),X0)
| sP5(sK18(X0),X0)
| ~ v2_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) )
| ~ spl38_439 ),
inference(avatar_component_clause,[],[f3448]) ).
fof(f5207,plain,
( spl38_657
| ~ spl38_115
| ~ spl38_437 ),
inference(avatar_split_clause,[],[f3475,f3440,f1140,f5205]) ).
fof(f5205,plain,
( spl38_657
<=> ! [X0] :
( sP5(sK12(X0),X0)
| ~ v2_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_657])]) ).
fof(f1140,plain,
( spl38_115
<=> ! [X0] :
( v13_waybel_0(sK12(X0),X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_115])]) ).
fof(f3440,plain,
( spl38_437
<=> ! [X0] :
( sP5(sK12(X0),X0)
| ~ v13_waybel_0(sK12(X0),X0)
| ~ v2_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_437])]) ).
fof(f3475,plain,
( ! [X0] :
( sP5(sK12(X0),X0)
| ~ v2_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_115
| ~ spl38_437 ),
inference(duplicate_literal_removal,[],[f3474]) ).
fof(f3474,plain,
( ! [X0] :
( sP5(sK12(X0),X0)
| ~ v2_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_115
| ~ spl38_437 ),
inference(resolution,[],[f3441,f1141]) ).
fof(f1141,plain,
( ! [X0] :
( v13_waybel_0(sK12(X0),X0)
| ~ l1_orders_2(X0) )
| ~ spl38_115 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f3441,plain,
( ! [X0] :
( ~ v13_waybel_0(sK12(X0),X0)
| sP5(sK12(X0),X0)
| ~ v2_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_437 ),
inference(avatar_component_clause,[],[f3440]) ).
fof(f5203,plain,
( spl38_656
| ~ spl38_95
| ~ spl38_413 ),
inference(avatar_split_clause,[],[f3282,f3238,f1051,f5201]) ).
fof(f5201,plain,
( spl38_656
<=> ! [X0] :
( ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| v25_waybel_0(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_656])]) ).
fof(f3238,plain,
( spl38_413
<=> ! [X0] :
( v25_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_413])]) ).
fof(f3282,plain,
( ! [X0] :
( ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| v25_waybel_0(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_413 ),
inference(resolution,[],[f3239,f1052]) ).
fof(f3239,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| v25_waybel_0(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_413 ),
inference(avatar_component_clause,[],[f3238]) ).
fof(f5199,plain,
( spl38_655
| ~ spl38_95
| ~ spl38_412 ),
inference(avatar_split_clause,[],[f3281,f3234,f1051,f5197]) ).
fof(f5197,plain,
( spl38_655
<=> ! [X0] :
( ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| v24_waybel_0(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_655])]) ).
fof(f3234,plain,
( spl38_412
<=> ! [X0] :
( v24_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_412])]) ).
fof(f3281,plain,
( ! [X0] :
( ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| v24_waybel_0(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_412 ),
inference(resolution,[],[f3235,f1052]) ).
fof(f3235,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| v24_waybel_0(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_412 ),
inference(avatar_component_clause,[],[f3234]) ).
fof(f5195,plain,
( spl38_654
| ~ spl38_133
| ~ spl38_400 ),
inference(avatar_split_clause,[],[f3164,f3091,f1214,f5193]) ).
fof(f5193,plain,
( spl38_654
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK23(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_654])]) ).
fof(f3164,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK23(X0,X1)) )
| ~ spl38_133
| ~ spl38_400 ),
inference(resolution,[],[f3092,f1215]) ).
fof(f5183,plain,
( spl38_653
| ~ spl38_133
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3134,f3083,f1214,f5181]) ).
fof(f5181,plain,
( spl38_653
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK23(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_653])]) ).
fof(f3134,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK23(X0,X1)) )
| ~ spl38_133
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1215]) ).
fof(f5179,plain,
( spl38_652
| ~ spl38_134
| ~ spl38_398 ),
inference(avatar_split_clause,[],[f3133,f3083,f1218,f5177]) ).
fof(f5177,plain,
( spl38_652
<=> ! [X0,X1] :
( m1_subset_1(sK23(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK23(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_652])]) ).
fof(f1218,plain,
( spl38_134
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_134])]) ).
fof(f3133,plain,
( ! [X0,X1] :
( m1_subset_1(sK23(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK23(X0,X1),X0) )
| ~ spl38_134
| ~ spl38_398 ),
inference(resolution,[],[f3084,f1219]) ).
fof(f1219,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl38_134 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f5175,plain,
( spl38_651
| ~ spl38_297
| ~ spl38_373 ),
inference(avatar_split_clause,[],[f3054,f2916,f2312,f5173]) ).
fof(f5173,plain,
( spl38_651
<=> ! [X0] :
( m1_subset_1(sK19(sK15(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_651])]) ).
fof(f3054,plain,
( ! [X0] :
( m1_subset_1(sK19(sK15(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK15(X0)) )
| ~ spl38_297
| ~ spl38_373 ),
inference(resolution,[],[f2917,f2313]) ).
fof(f5171,plain,
( spl38_650
| ~ spl38_297
| ~ spl38_371 ),
inference(avatar_split_clause,[],[f3049,f2907,f2312,f5169]) ).
fof(f5169,plain,
( spl38_650
<=> ! [X0] :
( m1_subset_1(sK19(sK14(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_650])]) ).
fof(f3049,plain,
( ! [X0] :
( m1_subset_1(sK19(sK14(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK14(X0)) )
| ~ spl38_297
| ~ spl38_371 ),
inference(resolution,[],[f2908,f2313]) ).
fof(f5167,plain,
( spl38_649
| ~ spl38_186
| ~ spl38_370 ),
inference(avatar_split_clause,[],[f3045,f2903,f1509,f5165]) ).
fof(f5165,plain,
( spl38_649
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_orders_2(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_orders_2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_649])]) ).
fof(f1509,plain,
( spl38_186
<=> ! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_186])]) ).
fof(f3045,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_orders_2(X1))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
| ~ l1_orders_2(X1) )
| ~ spl38_186
| ~ spl38_370 ),
inference(resolution,[],[f2904,f1510]) ).
fof(f1510,plain,
( ! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_186 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f5163,plain,
( spl38_648
| ~ spl38_226
| ~ spl38_366 ),
inference(avatar_split_clause,[],[f2889,f2849,f1741,f5161]) ).
fof(f5161,plain,
( spl38_648
<=> ! [X0,X1] :
( m2_relset_1(sK24(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK24(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_648])]) ).
fof(f2849,plain,
( spl38_366
<=> ! [X0,X1] : sK24(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK24(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_366])]) ).
fof(f2889,plain,
( ! [X0,X1] :
( m2_relset_1(sK24(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK24(X0,X1)),X0,X1) )
| ~ spl38_226
| ~ spl38_366 ),
inference(superposition,[],[f1742,f2850]) ).
fof(f2850,plain,
( ! [X0,X1] : sK24(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK24(X0,X1)))
| ~ spl38_366 ),
inference(avatar_component_clause,[],[f2849]) ).
fof(f5159,plain,
( spl38_647
| ~ spl38_352
| ~ spl38_366 ),
inference(avatar_split_clause,[],[f2888,f2849,f2733,f5157]) ).
fof(f5157,plain,
( spl38_647
<=> ! [X0,X1] :
( m1_relset_1(sK24(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK24(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_647])]) ).
fof(f2888,plain,
( ! [X0,X1] :
( m1_relset_1(sK24(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK24(X0,X1)),X0,X1) )
| ~ spl38_352
| ~ spl38_366 ),
inference(superposition,[],[f2734,f2850]) ).
fof(f5155,plain,
( spl38_646
| ~ spl38_351
| ~ spl38_352 ),
inference(avatar_split_clause,[],[f2887,f2733,f2729,f5153]) ).
fof(f5153,plain,
( spl38_646
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK24(X0,X1)),X1,X0)
| ~ m1_relset_1(sK24(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_646])]) ).
fof(f2729,plain,
( spl38_351
<=> ! [X0,X1] : k6_relset_1(X0,X1,sK24(X0,X1)) = k4_relat_1(sK24(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_351])]) ).
fof(f2887,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK24(X0,X1)),X1,X0)
| ~ m1_relset_1(sK24(X0,X1),X0,X1) )
| ~ spl38_351
| ~ spl38_352 ),
inference(superposition,[],[f2734,f2730]) ).
fof(f2730,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK24(X0,X1)) = k4_relat_1(sK24(X0,X1))
| ~ spl38_351 ),
inference(avatar_component_clause,[],[f2729]) ).
fof(f5151,plain,
( spl38_645
| ~ spl38_226
| ~ spl38_351 ),
inference(avatar_split_clause,[],[f2881,f2729,f1741,f5149]) ).
fof(f5149,plain,
( spl38_645
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK24(X0,X1)),X1,X0)
| ~ m1_relset_1(sK24(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_645])]) ).
fof(f2881,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK24(X0,X1)),X1,X0)
| ~ m1_relset_1(sK24(X0,X1),X0,X1) )
| ~ spl38_226
| ~ spl38_351 ),
inference(superposition,[],[f1742,f2730]) ).
fof(f5147,plain,
( spl38_644
| ~ spl38_342
| ~ spl38_346 ),
inference(avatar_split_clause,[],[f2862,f2708,f2634,f5145]) ).
fof(f5145,plain,
( spl38_644
<=> ! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK15(X0) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_644])]) ).
fof(f2862,plain,
( ! [X0,X1] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| sK15(X0) = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_342
| ~ spl38_346 ),
inference(resolution,[],[f2709,f2635]) ).
fof(f5143,plain,
( spl38_643
| ~ spl38_171
| ~ spl38_532 ),
inference(avatar_split_clause,[],[f4601,f4180,f1390,f5140]) ).
fof(f5140,plain,
( spl38_643
<=> v1_orders_2(g1_orders_2(u1_struct_0(sK9),u1_orders_2(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_643])]) ).
fof(f1390,plain,
( spl38_171
<=> ! [X0,X1] :
( v1_orders_2(g1_orders_2(X0,X1))
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_171])]) ).
fof(f4601,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(sK9),u1_orders_2(sK9)))
| ~ spl38_171
| ~ spl38_532 ),
inference(resolution,[],[f4181,f1391]) ).
fof(f1391,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| v1_orders_2(g1_orders_2(X0,X1)) )
| ~ spl38_171 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f5138,plain,
( spl38_642
| ~ spl38_225
| ~ spl38_319 ),
inference(avatar_split_clause,[],[f2571,f2453,f1737,f5136]) ).
fof(f2571,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0)) = k4_relat_1(u1_orders_2(X0)) )
| ~ spl38_225
| ~ spl38_319 ),
inference(resolution,[],[f2454,f1738]) ).
fof(f5134,plain,
( spl38_641
| ~ spl38_247
| ~ spl38_330 ),
inference(avatar_split_clause,[],[f2556,f2536,f1878,f5132]) ).
fof(f5132,plain,
( spl38_641
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_struct_0(sK37) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_641])]) ).
fof(f2556,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_struct_0(sK37) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_330 ),
inference(superposition,[],[f1879,f2538]) ).
fof(f5130,plain,
( spl38_640
| ~ spl38_248
| ~ spl38_330 ),
inference(avatar_split_clause,[],[f2554,f2536,f1882,f5128]) ).
fof(f5128,plain,
( spl38_640
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_orders_2(sK37) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_640])]) ).
fof(f2554,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK37
| u1_orders_2(sK37) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_330 ),
inference(superposition,[],[f1883,f2538]) ).
fof(f5126,plain,
( spl38_639
| ~ spl38_247
| ~ spl38_328 ),
inference(avatar_split_clause,[],[f2528,f2508,f1878,f5124]) ).
fof(f5124,plain,
( spl38_639
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_struct_0(sK36) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_639])]) ).
fof(f2528,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_struct_0(sK36) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_328 ),
inference(superposition,[],[f1879,f2510]) ).
fof(f5122,plain,
( spl38_638
| ~ spl38_248
| ~ spl38_328 ),
inference(avatar_split_clause,[],[f2526,f2508,f1882,f5120]) ).
fof(f5120,plain,
( spl38_638
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_orders_2(sK36) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_638])]) ).
fof(f2526,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK36
| u1_orders_2(sK36) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_328 ),
inference(superposition,[],[f1883,f2510]) ).
fof(f5118,plain,
( spl38_637
| ~ spl38_247
| ~ spl38_327 ),
inference(avatar_split_clause,[],[f2505,f2485,f1878,f5116]) ).
fof(f5116,plain,
( spl38_637
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_struct_0(sK35) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_637])]) ).
fof(f2505,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_struct_0(sK35) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_327 ),
inference(superposition,[],[f1879,f2487]) ).
fof(f5114,plain,
( spl38_636
| ~ spl38_248
| ~ spl38_327 ),
inference(avatar_split_clause,[],[f2503,f2485,f1882,f5112]) ).
fof(f5112,plain,
( spl38_636
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_orders_2(sK35) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_636])]) ).
fof(f2503,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != sK35
| u1_orders_2(sK35) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_327 ),
inference(superposition,[],[f1883,f2487]) ).
fof(f5105,plain,
( spl38_635
| ~ spl38_607
| ~ spl38_634 ),
inference(avatar_split_clause,[],[f5101,f5098,f4868,f5103]) ).
fof(f5103,plain,
( spl38_635
<=> ! [X0,X1] : sK25(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK25(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_635])]) ).
fof(f4868,plain,
( spl38_607
<=> ! [X0,X1] : k6_relset_1(X0,X1,sK25(X0,X1)) = k4_relat_1(sK25(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_607])]) ).
fof(f5098,plain,
( spl38_634
<=> ! [X0,X1] : sK25(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK25(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_634])]) ).
fof(f5101,plain,
( ! [X0,X1] : sK25(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK25(X0,X1)))
| ~ spl38_607
| ~ spl38_634 ),
inference(forward_demodulation,[],[f5099,f4869]) ).
fof(f4869,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK25(X0,X1)) = k4_relat_1(sK25(X0,X1))
| ~ spl38_607 ),
inference(avatar_component_clause,[],[f4868]) ).
fof(f5099,plain,
( ! [X0,X1] : sK25(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK25(X0,X1)))
| ~ spl38_634 ),
inference(avatar_component_clause,[],[f5098]) ).
fof(f5100,plain,
( spl38_634
| ~ spl38_237
| ~ spl38_301 ),
inference(avatar_split_clause,[],[f2361,f2328,f1803,f5098]) ).
fof(f2328,plain,
( spl38_301
<=> ! [X0,X1] : m1_relset_1(sK25(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_301])]) ).
fof(f2361,plain,
( ! [X0,X1] : sK25(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK25(X0,X1)))
| ~ spl38_237
| ~ spl38_301 ),
inference(resolution,[],[f2329,f1804]) ).
fof(f2329,plain,
( ! [X0,X1] : m1_relset_1(sK25(X0,X1),X0,X1)
| ~ spl38_301 ),
inference(avatar_component_clause,[],[f2328]) ).
fof(f5096,plain,
( spl38_633
| ~ spl38_172
| ~ spl38_532 ),
inference(avatar_split_clause,[],[f4600,f4180,f1394,f5093]) ).
fof(f1394,plain,
( spl38_172
<=> ! [X0,X1] :
( l1_orders_2(g1_orders_2(X0,X1))
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_172])]) ).
fof(f4600,plain,
( l1_orders_2(g1_orders_2(u1_struct_0(sK9),u1_orders_2(sK9)))
| ~ spl38_172
| ~ spl38_532 ),
inference(resolution,[],[f4181,f1395]) ).
fof(f1395,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| l1_orders_2(g1_orders_2(X0,X1)) )
| ~ spl38_172 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f5091,plain,
( spl38_632
| ~ spl38_140
| ~ spl38_300 ),
inference(avatar_split_clause,[],[f2358,f2324,f1254,f5089]) ).
fof(f5089,plain,
( spl38_632
<=> ! [X0,X1] : sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_632])]) ).
fof(f2358,plain,
( ! [X0,X1] : sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ spl38_140
| ~ spl38_300 ),
inference(resolution,[],[f2325,f1255]) ).
fof(f5087,plain,
( spl38_631
| ~ spl38_209
| ~ spl38_297 ),
inference(avatar_split_clause,[],[f2343,f2312,f1612,f5085]) ).
fof(f5085,plain,
( spl38_631
<=> ! [X0] :
( v1_xboole_0(a_1_1_waybel_0(X0))
| sP5(sK19(a_1_1_waybel_0(X0)),X0)
| ~ sP6(X0,sK19(a_1_1_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_631])]) ).
fof(f2343,plain,
( ! [X0] :
( v1_xboole_0(a_1_1_waybel_0(X0))
| sP5(sK19(a_1_1_waybel_0(X0)),X0)
| ~ sP6(X0,sK19(a_1_1_waybel_0(X0))) )
| ~ spl38_209
| ~ spl38_297 ),
inference(resolution,[],[f2313,f1613]) ).
fof(f5083,plain,
( spl38_630
| ~ spl38_212
| ~ spl38_297 ),
inference(avatar_split_clause,[],[f2342,f2312,f1624,f5081]) ).
fof(f5081,plain,
( spl38_630
<=> ! [X0] :
( v1_xboole_0(a_1_0_waybel_0(X0))
| sP7(sK19(a_1_0_waybel_0(X0)),X0)
| ~ sP8(X0,sK19(a_1_0_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_630])]) ).
fof(f2342,plain,
( ! [X0] :
( v1_xboole_0(a_1_0_waybel_0(X0))
| sP7(sK19(a_1_0_waybel_0(X0)),X0)
| ~ sP8(X0,sK19(a_1_0_waybel_0(X0))) )
| ~ spl38_212
| ~ spl38_297 ),
inference(resolution,[],[f2313,f1625]) ).
fof(f5063,plain,
( spl38_629
| ~ spl38_95
| ~ spl38_421 ),
inference(avatar_split_clause,[],[f3336,f3309,f1051,f5061]) ).
fof(f3309,plain,
( spl38_421
<=> ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_421])]) ).
fof(f3336,plain,
( ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_421 ),
inference(duplicate_literal_removal,[],[f3335]) ).
fof(f3335,plain,
( ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_421 ),
inference(resolution,[],[f3310,f1052]) ).
fof(f3310,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_421 ),
inference(avatar_component_clause,[],[f3309]) ).
fof(f5059,plain,
( spl38_628
| ~ spl38_133
| ~ spl38_369 ),
inference(avatar_split_clause,[],[f3044,f2899,f1214,f5057]) ).
fof(f5057,plain,
( spl38_628
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK18(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_628])]) ).
fof(f2899,plain,
( spl38_369
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_369])]) ).
fof(f3044,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK18(X0)) )
| ~ spl38_133
| ~ spl38_369 ),
inference(resolution,[],[f2900,f1215]) ).
fof(f2900,plain,
( ! [X0] :
( r2_hidden(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0) )
| ~ spl38_369 ),
inference(avatar_component_clause,[],[f2899]) ).
fof(f5055,plain,
( spl38_627
| ~ spl38_133
| ~ spl38_368 ),
inference(avatar_split_clause,[],[f3041,f2895,f1214,f5053]) ).
fof(f5053,plain,
( spl38_627
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_627])]) ).
fof(f2895,plain,
( spl38_368
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_368])]) ).
fof(f3041,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK13(X0)) )
| ~ spl38_133
| ~ spl38_368 ),
inference(resolution,[],[f2896,f1215]) ).
fof(f2896,plain,
( ! [X0] :
( r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_368 ),
inference(avatar_component_clause,[],[f2895]) ).
fof(f5051,plain,
( spl38_626
| ~ spl38_133
| ~ spl38_367 ),
inference(avatar_split_clause,[],[f3038,f2891,f1214,f5049]) ).
fof(f5049,plain,
( spl38_626
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_626])]) ).
fof(f2891,plain,
( spl38_367
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_367])]) ).
fof(f3038,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK12(X0)) )
| ~ spl38_133
| ~ spl38_367 ),
inference(resolution,[],[f2892,f1215]) ).
fof(f2892,plain,
( ! [X0] :
( r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_367 ),
inference(avatar_component_clause,[],[f2891]) ).
fof(f5047,plain,
( spl38_625
| ~ spl38_186
| ~ spl38_350 ),
inference(avatar_split_clause,[],[f2877,f2725,f1509,f5045]) ).
fof(f5045,plain,
( spl38_625
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_orders_2(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_625])]) ).
fof(f2877,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ r2_hidden(X1,u1_orders_2(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_186
| ~ spl38_350 ),
inference(resolution,[],[f2726,f1510]) ).
fof(f5043,plain,
( spl38_624
| ~ spl38_187
| ~ spl38_344 ),
inference(avatar_split_clause,[],[f2857,f2700,f1513,f5041]) ).
fof(f5041,plain,
( spl38_624
<=> ! [X0] :
( ~ v1_xboole_0(k4_relat_1(X0))
| v2_funct_1(k4_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_624])]) ).
fof(f1513,plain,
( spl38_187
<=> ! [X0] :
( v1_funct_1(k4_relat_1(X0))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_187])]) ).
fof(f2700,plain,
( spl38_344
<=> ! [X0] :
( ~ v1_funct_1(k4_relat_1(X0))
| ~ v1_xboole_0(k4_relat_1(X0))
| v2_funct_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_344])]) ).
fof(f2857,plain,
( ! [X0] :
( ~ v1_xboole_0(k4_relat_1(X0))
| v2_funct_1(k4_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0) )
| ~ spl38_187
| ~ spl38_344 ),
inference(duplicate_literal_removal,[],[f2853]) ).
fof(f2853,plain,
( ! [X0] :
( ~ v1_xboole_0(k4_relat_1(X0))
| v2_funct_1(k4_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl38_187
| ~ spl38_344 ),
inference(resolution,[],[f2701,f1514]) ).
fof(f1514,plain,
( ! [X0] :
( v1_funct_1(k4_relat_1(X0))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) )
| ~ spl38_187 ),
inference(avatar_component_clause,[],[f1513]) ).
fof(f2701,plain,
( ! [X0] :
( ~ v1_funct_1(k4_relat_1(X0))
| ~ v1_xboole_0(k4_relat_1(X0))
| v2_funct_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) )
| ~ spl38_344 ),
inference(avatar_component_clause,[],[f2700]) ).
fof(f5034,plain,
( ~ spl38_44
| spl38_45
| ~ spl38_47
| ~ spl38_49
| ~ spl38_392
| spl38_623
| ~ spl38_238
| ~ spl38_315 ),
inference(avatar_split_clause,[],[f2433,f2429,f1841,f5031,f3020,f837,f827,f817,f812]) ).
fof(f5031,plain,
( spl38_623
<=> sP1(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_623])]) ).
fof(f1841,plain,
( spl38_238
<=> ! [X0] :
( sP1(X0)
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_238])]) ).
fof(f2429,plain,
( spl38_315
<=> v25_waybel_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_315])]) ).
fof(f2433,plain,
( sP1(sK36)
| ~ v2_yellow_0(sK36)
| ~ v4_orders_2(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ l1_orders_2(sK36)
| ~ spl38_238
| ~ spl38_315 ),
inference(resolution,[],[f2431,f1842]) ).
fof(f1842,plain,
( ! [X0] :
( ~ v25_waybel_0(X0)
| sP1(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_238 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f2431,plain,
( v25_waybel_0(sK36)
| ~ spl38_315 ),
inference(avatar_component_clause,[],[f2429]) ).
fof(f5024,plain,
( ~ spl38_37
| spl38_38
| ~ spl38_40
| ~ spl38_42
| ~ spl38_390
| spl38_622
| ~ spl38_238
| ~ spl38_313 ),
inference(avatar_split_clause,[],[f2425,f2416,f1841,f5021,f3011,f802,f792,f782,f777]) ).
fof(f5021,plain,
( spl38_622
<=> sP1(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_622])]) ).
fof(f2416,plain,
( spl38_313
<=> v25_waybel_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_313])]) ).
fof(f2425,plain,
( sP1(sK35)
| ~ v2_yellow_0(sK35)
| ~ v4_orders_2(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_238
| ~ spl38_313 ),
inference(resolution,[],[f2418,f1842]) ).
fof(f2418,plain,
( v25_waybel_0(sK35)
| ~ spl38_313 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f5014,plain,
( ~ spl38_547
| ~ spl38_621
| ~ spl38_112
| ~ spl38_583 ),
inference(avatar_split_clause,[],[f4912,f4636,f1128,f5011,f4295]) ).
fof(f1128,plain,
( spl38_112
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_112])]) ).
fof(f4912,plain,
( ~ v3_struct_0(k7_lattice3(sK9))
| ~ l1_orders_2(k7_lattice3(sK9))
| ~ spl38_112
| ~ spl38_583 ),
inference(resolution,[],[f4637,f1129]) ).
fof(f1129,plain,
( ! [X0] :
( ~ v1_lattice3(X0)
| ~ v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_112 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f5009,plain,
( ~ spl38_26
| spl38_27
| ~ spl38_28
| ~ spl38_30
| ~ spl38_35
| spl38_620
| ~ spl38_238
| ~ spl38_312 ),
inference(avatar_split_clause,[],[f2412,f2408,f1841,f5006,f767,f742,f732,f727,f722]) ).
fof(f5006,plain,
( spl38_620
<=> sP1(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_620])]) ).
fof(f2408,plain,
( spl38_312
<=> v25_waybel_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_312])]) ).
fof(f2412,plain,
( sP1(sK34)
| ~ v2_yellow_0(sK34)
| ~ v4_orders_2(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ l1_orders_2(sK34)
| ~ spl38_238
| ~ spl38_312 ),
inference(resolution,[],[f2410,f1842]) ).
fof(f2410,plain,
( v25_waybel_0(sK34)
| ~ spl38_312 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f5004,plain,
( ~ spl38_40
| ~ spl38_41
| ~ spl38_42
| spl38_619
| ~ spl38_288
| ~ spl38_37
| ~ spl38_245
| ~ spl38_287 ),
inference(avatar_split_clause,[],[f2264,f2259,f1870,f777,f2268,f5001,f802,f797,f792]) ).
fof(f5001,plain,
( spl38_619
<=> sP3(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_619])]) ).
fof(f2268,plain,
( spl38_288
<=> v2_lattice3(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_288])]) ).
fof(f1870,plain,
( spl38_245
<=> ! [X0] :
( sP3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_245])]) ).
fof(f2264,plain,
( ~ l1_orders_2(sK35)
| ~ v2_lattice3(sK35)
| sP3(sK35)
| ~ v4_orders_2(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| ~ spl38_245
| ~ spl38_287 ),
inference(resolution,[],[f2261,f1871]) ).
fof(f1871,plain,
( ! [X0] :
( ~ v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| sP3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) )
| ~ spl38_245 ),
inference(avatar_component_clause,[],[f1870]) ).
fof(f4948,plain,
( ~ spl38_580
| ~ spl38_581
| ~ spl38_582
| ~ spl38_583
| ~ spl38_584
| ~ spl38_547
| spl38_618
| ~ spl38_254
| ~ spl38_258 ),
inference(avatar_split_clause,[],[f2035,f2031,f1982,f4946,f4295,f4640,f4636,f4632,f4628,f4624]) ).
fof(f4628,plain,
( spl38_581
<=> v3_orders_2(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_581])]) ).
fof(f4632,plain,
( spl38_582
<=> v4_orders_2(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_582])]) ).
fof(f2035,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK9)))
| v1_xboole_0(X0)
| ~ l1_orders_2(k7_lattice3(sK9))
| ~ v1_yellow_0(k7_lattice3(sK9))
| ~ v1_lattice3(k7_lattice3(sK9))
| ~ v4_orders_2(k7_lattice3(sK9))
| ~ v3_orders_2(k7_lattice3(sK9))
| ~ v2_orders_2(k7_lattice3(sK9)) )
| ~ spl38_254
| ~ spl38_258 ),
inference(superposition,[],[f1983,f2033]) ).
fof(f4941,plain,
( ~ spl38_4
| ~ spl38_6
| ~ spl38_146
| spl38_584 ),
inference(avatar_split_clause,[],[f4652,f4640,f1278,f622,f612]) ).
fof(f612,plain,
( spl38_4
<=> v2_yellow_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_4])]) ).
fof(f4652,plain,
( ~ l1_orders_2(sK9)
| ~ v2_yellow_0(sK9)
| ~ spl38_146
| spl38_584 ),
inference(resolution,[],[f4642,f1279]) ).
fof(f4642,plain,
( ~ v1_yellow_0(k7_lattice3(sK9))
| spl38_584 ),
inference(avatar_component_clause,[],[f4640]) ).
fof(f4916,plain,
( spl38_617
| ~ spl38_171
| ~ spl38_352 ),
inference(avatar_split_clause,[],[f2883,f2733,f1390,f4914]) ).
fof(f2883,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,X1,X1)
| v1_orders_2(g1_orders_2(X1,k6_relset_1(X1,X1,X0))) )
| ~ spl38_171
| ~ spl38_352 ),
inference(resolution,[],[f2734,f1391]) ).
fof(f4908,plain,
( ~ spl38_5
| ~ spl38_6
| ~ spl38_151
| spl38_583 ),
inference(avatar_split_clause,[],[f4650,f4636,f1298,f622,f617]) ).
fof(f617,plain,
( spl38_5
<=> v2_lattice3(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_5])]) ).
fof(f1298,plain,
( spl38_151
<=> ! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_151])]) ).
fof(f4650,plain,
( ~ l1_orders_2(sK9)
| ~ v2_lattice3(sK9)
| ~ spl38_151
| spl38_583 ),
inference(resolution,[],[f4638,f1299]) ).
fof(f1299,plain,
( ! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_151 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f4638,plain,
( ~ v1_lattice3(k7_lattice3(sK9))
| spl38_583 ),
inference(avatar_component_clause,[],[f4636]) ).
fof(f4907,plain,
( spl38_616
| ~ spl38_172
| ~ spl38_352 ),
inference(avatar_split_clause,[],[f2882,f2733,f1394,f4905]) ).
fof(f2882,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,X1,X1)
| l1_orders_2(g1_orders_2(X1,k6_relset_1(X1,X1,X0))) )
| ~ spl38_172
| ~ spl38_352 ),
inference(resolution,[],[f2734,f1395]) ).
fof(f4903,plain,
( spl38_615
| ~ spl38_133
| ~ spl38_345 ),
inference(avatar_split_clause,[],[f2860,f2704,f1214,f4901]) ).
fof(f4901,plain,
( spl38_615
<=> ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ r2_hidden(u1_struct_0(X0),k1_yellow_0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_615])]) ).
fof(f2704,plain,
( spl38_345
<=> ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_345])]) ).
fof(f2860,plain,
( ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| ~ r2_hidden(u1_struct_0(X0),k1_yellow_0(X0,X1)) )
| ~ spl38_133
| ~ spl38_345 ),
inference(resolution,[],[f2705,f1215]) ).
fof(f2705,plain,
( ! [X0,X1] :
( r2_hidden(k1_yellow_0(X0,X1),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_345 ),
inference(avatar_component_clause,[],[f2704]) ).
fof(f4899,plain,
( spl38_614
| ~ spl38_322
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2673,f2630,f2465,f4897]) ).
fof(f4897,plain,
( spl38_614
<=> ! [X0,X1] :
( sK18(X0) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_614])]) ).
fof(f2673,plain,
( ! [X0,X1] :
( sK18(X0) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0) )
| ~ spl38_322
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2466]) ).
fof(f4895,plain,
( spl38_613
| ~ spl38_321
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2671,f2630,f2461,f4893]) ).
fof(f4893,plain,
( spl38_613
<=> ! [X0,X1] :
( sK13(X0) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_613])]) ).
fof(f2671,plain,
( ! [X0,X1] :
( sK13(X0) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_321
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2462]) ).
fof(f4891,plain,
( spl38_612
| ~ spl38_320
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2669,f2630,f2457,f4889]) ).
fof(f4889,plain,
( spl38_612
<=> ! [X0,X1] :
( sK12(X0) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_612])]) ).
fof(f2669,plain,
( ! [X0,X1] :
( sK12(X0) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_320
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2458]) ).
fof(f4887,plain,
( spl38_611
| ~ spl38_297
| ~ spl38_340 ),
inference(avatar_split_clause,[],[f2658,f2626,f2312,f4885]) ).
fof(f4885,plain,
( spl38_611
<=> ! [X0] :
( m1_subset_1(sK19(sK18(X0)),u1_struct_0(X0))
| ~ sP3(X0)
| v1_xboole_0(sK18(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_611])]) ).
fof(f2658,plain,
( ! [X0] :
( m1_subset_1(sK19(sK18(X0)),u1_struct_0(X0))
| ~ sP3(X0)
| v1_xboole_0(sK18(X0)) )
| ~ spl38_297
| ~ spl38_340 ),
inference(resolution,[],[f2627,f2313]) ).
fof(f4883,plain,
( spl38_610
| ~ spl38_297
| ~ spl38_338 ),
inference(avatar_split_clause,[],[f2655,f2617,f2312,f4881]) ).
fof(f4881,plain,
( spl38_610
<=> ! [X0] :
( m1_subset_1(sK19(sK13(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_610])]) ).
fof(f2655,plain,
( ! [X0] :
( m1_subset_1(sK19(sK13(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK13(X0)) )
| ~ spl38_297
| ~ spl38_338 ),
inference(resolution,[],[f2618,f2313]) ).
fof(f4879,plain,
( spl38_609
| ~ spl38_297
| ~ spl38_337 ),
inference(avatar_split_clause,[],[f2652,f2613,f2312,f4877]) ).
fof(f4877,plain,
( spl38_609
<=> ! [X0] :
( m1_subset_1(sK19(sK12(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_609])]) ).
fof(f2652,plain,
( ! [X0] :
( m1_subset_1(sK19(sK12(X0)),u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK12(X0)) )
| ~ spl38_297
| ~ spl38_337 ),
inference(resolution,[],[f2614,f2313]) ).
fof(f4875,plain,
( spl38_608
| ~ spl38_92
| ~ spl38_317 ),
inference(avatar_split_clause,[],[f2558,f2445,f1039,f4873]) ).
fof(f4873,plain,
( spl38_608
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_608])]) ).
fof(f1039,plain,
( spl38_92
<=> ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_92])]) ).
fof(f2558,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_relat_1(X0) )
| ~ spl38_92
| ~ spl38_317 ),
inference(resolution,[],[f2446,f1040]) ).
fof(f1040,plain,
( ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) )
| ~ spl38_92 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f4871,plain,
( ~ spl38_3
| ~ spl38_6
| ~ spl38_152
| spl38_582 ),
inference(avatar_split_clause,[],[f4649,f4632,f1302,f622,f607]) ).
fof(f607,plain,
( spl38_3
<=> v4_orders_2(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_3])]) ).
fof(f1302,plain,
( spl38_152
<=> ! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_152])]) ).
fof(f4649,plain,
( ~ l1_orders_2(sK9)
| ~ v4_orders_2(sK9)
| ~ spl38_152
| spl38_582 ),
inference(resolution,[],[f4634,f1303]) ).
fof(f1303,plain,
( ! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) )
| ~ spl38_152 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f4634,plain,
( ~ v4_orders_2(k7_lattice3(sK9))
| spl38_582 ),
inference(avatar_component_clause,[],[f4632]) ).
fof(f4870,plain,
( spl38_607
| ~ spl38_225
| ~ spl38_301 ),
inference(avatar_split_clause,[],[f2362,f2328,f1737,f4868]) ).
fof(f2362,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK25(X0,X1)) = k4_relat_1(sK25(X0,X1))
| ~ spl38_225
| ~ spl38_301 ),
inference(resolution,[],[f2329,f1738]) ).
fof(f4789,plain,
( ~ spl38_2
| ~ spl38_6
| ~ spl38_149
| spl38_581 ),
inference(avatar_split_clause,[],[f4648,f4628,f1290,f622,f602]) ).
fof(f4648,plain,
( ~ l1_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ spl38_149
| spl38_581 ),
inference(resolution,[],[f4630,f1291]) ).
fof(f4630,plain,
( ~ v3_orders_2(k7_lattice3(sK9))
| spl38_581 ),
inference(avatar_component_clause,[],[f4628]) ).
fof(f4754,plain,
( ~ spl38_1
| ~ spl38_6
| ~ spl38_153
| spl38_580 ),
inference(avatar_split_clause,[],[f4647,f4624,f1306,f622,f597]) ).
fof(f597,plain,
( spl38_1
<=> v2_orders_2(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f1306,plain,
( spl38_153
<=> ! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_153])]) ).
fof(f4647,plain,
( ~ l1_orders_2(sK9)
| ~ v2_orders_2(sK9)
| ~ spl38_153
| spl38_580 ),
inference(resolution,[],[f4626,f1307]) ).
fof(f1307,plain,
( ! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) )
| ~ spl38_153 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f4626,plain,
( ~ v2_orders_2(k7_lattice3(sK9))
| spl38_580 ),
inference(avatar_component_clause,[],[f4624]) ).
fof(f4738,plain,
( spl38_606
| ~ spl38_69
| ~ spl38_411 ),
inference(avatar_split_clause,[],[f3275,f3230,f935,f4736]) ).
fof(f4736,plain,
( spl38_606
<=> ! [X0] :
( sP2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_606])]) ).
fof(f3230,plain,
( spl38_411
<=> ! [X0] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| sP2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_411])]) ).
fof(f3275,plain,
( ! [X0] :
( sP2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_69
| ~ spl38_411 ),
inference(resolution,[],[f3231,f936]) ).
fof(f3231,plain,
( ! [X0] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| sP2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_411 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f4734,plain,
( spl38_605
| ~ spl38_69
| ~ spl38_410 ),
inference(avatar_split_clause,[],[f3269,f3226,f935,f4732]) ).
fof(f4732,plain,
( spl38_605
<=> ! [X0] :
( v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_605])]) ).
fof(f3226,plain,
( spl38_410
<=> ! [X0] :
( ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_410])]) ).
fof(f3269,plain,
( ! [X0] :
( v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_69
| ~ spl38_410 ),
inference(resolution,[],[f3227,f936]) ).
fof(f3227,plain,
( ! [X0] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_410 ),
inference(avatar_component_clause,[],[f3226]) ).
fof(f4730,plain,
( spl38_604
| ~ spl38_69
| ~ spl38_409 ),
inference(avatar_split_clause,[],[f3263,f3222,f935,f4728]) ).
fof(f4728,plain,
( spl38_604
<=> ! [X0] :
( v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_604])]) ).
fof(f3222,plain,
( spl38_409
<=> ! [X0] :
( v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_409])]) ).
fof(f3263,plain,
( ! [X0] :
( v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_69
| ~ spl38_409 ),
inference(resolution,[],[f3223,f936]) ).
fof(f3223,plain,
( ! [X0] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_409 ),
inference(avatar_component_clause,[],[f3222]) ).
fof(f4726,plain,
( spl38_603
| ~ spl38_69
| ~ spl38_408 ),
inference(avatar_split_clause,[],[f3257,f3218,f935,f4724]) ).
fof(f4724,plain,
( spl38_603
<=> ! [X0] :
( v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_603])]) ).
fof(f3218,plain,
( spl38_408
<=> ! [X0] :
( v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_408])]) ).
fof(f3257,plain,
( ! [X0] :
( v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_69
| ~ spl38_408 ),
inference(resolution,[],[f3219,f936]) ).
fof(f3219,plain,
( ! [X0] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_408 ),
inference(avatar_component_clause,[],[f3218]) ).
fof(f4722,plain,
( spl38_602
| ~ spl38_69
| ~ spl38_397 ),
inference(avatar_split_clause,[],[f3130,f3079,f935,f4720]) ).
fof(f3079,plain,
( spl38_397
<=> ! [X0] :
( k2_yellow_1(X0) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0)))
| ~ l1_orders_2(k2_yellow_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_397])]) ).
fof(f3130,plain,
( ! [X0] : k2_yellow_1(X0) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0)))
| ~ spl38_69
| ~ spl38_397 ),
inference(resolution,[],[f3080,f936]) ).
fof(f3080,plain,
( ! [X0] :
( ~ l1_orders_2(k2_yellow_1(X0))
| k2_yellow_1(X0) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))) )
| ~ spl38_397 ),
inference(avatar_component_clause,[],[f3079]) ).
fof(f4718,plain,
( spl38_601
| ~ spl38_95
| ~ spl38_396 ),
inference(avatar_split_clause,[],[f3129,f3075,f1051,f4716]) ).
fof(f4716,plain,
( spl38_601
<=> ! [X0] :
( v3_yellow_0(k7_lattice3(X0))
| ~ v2_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_601])]) ).
fof(f3075,plain,
( spl38_396
<=> ! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| v3_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_396])]) ).
fof(f3129,plain,
( ! [X0] :
( v3_yellow_0(k7_lattice3(X0))
| ~ v2_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) )
| ~ spl38_95
| ~ spl38_396 ),
inference(duplicate_literal_removal,[],[f3128]) ).
fof(f3128,plain,
( ! [X0] :
( v3_yellow_0(k7_lattice3(X0))
| ~ v2_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_396 ),
inference(resolution,[],[f3076,f1052]) ).
fof(f3076,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| v3_yellow_0(k7_lattice3(X0))
| ~ v2_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) )
| ~ spl38_396 ),
inference(avatar_component_clause,[],[f3075]) ).
fof(f4714,plain,
( spl38_600
| ~ spl38_136
| ~ spl38_370 ),
inference(avatar_split_clause,[],[f3048,f2903,f1226,f4712]) ).
fof(f4712,plain,
( spl38_600
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK25(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_600])]) ).
fof(f1226,plain,
( spl38_136
<=> ! [X0,X1] : m2_relset_1(sK25(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_136])]) ).
fof(f3048,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK25(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl38_136
| ~ spl38_370 ),
inference(resolution,[],[f2904,f1227]) ).
fof(f1227,plain,
( ! [X0,X1] : m2_relset_1(sK25(X0,X1),X0,X1)
| ~ spl38_136 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f4710,plain,
( spl38_599
| ~ spl38_302
| ~ spl38_370 ),
inference(avatar_split_clause,[],[f3047,f2903,f2332,f4708]) ).
fof(f4708,plain,
( spl38_599
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK24(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_599])]) ).
fof(f2332,plain,
( spl38_302
<=> ! [X0,X1] : m2_relset_1(sK24(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_302])]) ).
fof(f3047,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK24(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl38_302
| ~ spl38_370 ),
inference(resolution,[],[f2904,f2333]) ).
fof(f2333,plain,
( ! [X0,X1] : m2_relset_1(sK24(X0,X1),X0,X1)
| ~ spl38_302 ),
inference(avatar_component_clause,[],[f2332]) ).
fof(f4706,plain,
( spl38_598
| ~ spl38_297
| ~ spl38_348 ),
inference(avatar_split_clause,[],[f2872,f2716,f2312,f4704]) ).
fof(f4704,plain,
( spl38_598
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP7(X1,X0)
| v1_xboole_0(sK22(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_598])]) ).
fof(f2716,plain,
( spl38_348
<=> ! [X2,X0,X1] :
( ~ sP7(X0,X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,sK22(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_348])]) ).
fof(f2872,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP7(X1,X0)
| v1_xboole_0(sK22(X1,X0)) )
| ~ spl38_297
| ~ spl38_348 ),
inference(resolution,[],[f2717,f2313]) ).
fof(f2717,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK22(X0,X1))
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ sP7(X0,X1) )
| ~ spl38_348 ),
inference(avatar_component_clause,[],[f2716]) ).
fof(f4702,plain,
( spl38_597
| ~ spl38_297
| ~ spl38_347 ),
inference(avatar_split_clause,[],[f2866,f2712,f2312,f4700]) ).
fof(f4700,plain,
( spl38_597
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP5(X1,X0)
| v1_xboole_0(sK21(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_597])]) ).
fof(f2712,plain,
( spl38_347
<=> ! [X2,X0,X1] :
( ~ sP5(X0,X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,sK21(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_347])]) ).
fof(f2866,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP5(X1,X0)
| v1_xboole_0(sK21(X1,X0)) )
| ~ spl38_297
| ~ spl38_347 ),
inference(resolution,[],[f2713,f2313]) ).
fof(f2713,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK21(X0,X1))
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ sP5(X0,X1) )
| ~ spl38_347 ),
inference(avatar_component_clause,[],[f2712]) ).
fof(f4698,plain,
( spl38_596
| ~ spl38_297
| ~ spl38_346 ),
inference(avatar_split_clause,[],[f2861,f2708,f2312,f4696]) ).
fof(f4696,plain,
( spl38_596
<=> ! [X0] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_596])]) ).
fof(f2861,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK15(X0)) )
| ~ spl38_297
| ~ spl38_346 ),
inference(resolution,[],[f2709,f2313]) ).
fof(f4694,plain,
( spl38_595
| ~ spl38_95
| ~ spl38_343 ),
inference(avatar_split_clause,[],[f2852,f2696,f1051,f4692]) ).
fof(f4692,plain,
( spl38_595
<=> ! [X0] :
( sP2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_595])]) ).
fof(f2696,plain,
( spl38_343
<=> ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| sP2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_343])]) ).
fof(f2852,plain,
( ! [X0] :
( sP2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ sP2(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_343 ),
inference(resolution,[],[f2697,f1052]) ).
fof(f2697,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| sP2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_343 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f4690,plain,
( spl38_594
| ~ spl38_133
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2681,f2634,f1214,f4688]) ).
fof(f4688,plain,
( spl38_594
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK23(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_594])]) ).
fof(f2681,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK23(X0,X1)) )
| ~ spl38_133
| ~ spl38_342 ),
inference(resolution,[],[f2635,f1215]) ).
fof(f4686,plain,
( spl38_593
| ~ spl38_134
| ~ spl38_342 ),
inference(avatar_split_clause,[],[f2680,f2634,f1218,f4684]) ).
fof(f4684,plain,
( spl38_593
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_593])]) ).
fof(f2680,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X0)
| m1_subset_1(sK23(X0,X1),X1) )
| ~ spl38_134
| ~ spl38_342 ),
inference(resolution,[],[f2635,f1219]) ).
fof(f4682,plain,
( spl38_592
| ~ spl38_133
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2664,f2630,f1214,f4680]) ).
fof(f4680,plain,
( spl38_592
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK23(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_592])]) ).
fof(f2664,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK23(X0,X1)) )
| ~ spl38_133
| ~ spl38_341 ),
inference(resolution,[],[f2631,f1215]) ).
fof(f4678,plain,
( spl38_591
| ~ spl38_134
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2663,f2630,f1218,f4676]) ).
fof(f4676,plain,
( spl38_591
<=> ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_591])]) ).
fof(f2663,plain,
( ! [X0,X1] :
( X0 = X1
| ~ v1_xboole_0(X1)
| m1_subset_1(sK23(X0,X1),X0) )
| ~ spl38_134
| ~ spl38_341 ),
inference(resolution,[],[f2631,f1219]) ).
fof(f4674,plain,
( spl38_590
| ~ spl38_133
| ~ spl38_332 ),
inference(avatar_split_clause,[],[f2643,f2593,f1214,f4672]) ).
fof(f4672,plain,
( spl38_590
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_590])]) ).
fof(f2593,plain,
( spl38_332
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK11(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_332])]) ).
fof(f2643,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK11(X0)) )
| ~ spl38_133
| ~ spl38_332 ),
inference(resolution,[],[f2594,f1215]) ).
fof(f2594,plain,
( ! [X0] :
( r2_hidden(sK11(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl38_332 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f4670,plain,
( spl38_589
| ~ spl38_133
| ~ spl38_331 ),
inference(avatar_split_clause,[],[f2639,f2589,f1214,f4668]) ).
fof(f4668,plain,
( spl38_589
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_589])]) ).
fof(f2639,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl38_133
| ~ spl38_331 ),
inference(resolution,[],[f2590,f1215]) ).
fof(f4666,plain,
( ~ spl38_588
| ~ spl38_98
| spl38_583 ),
inference(avatar_split_clause,[],[f4651,f4636,f1063,f4663]) ).
fof(f4663,plain,
( spl38_588
<=> sP2(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_588])]) ).
fof(f4651,plain,
( ~ sP2(sK9)
| ~ spl38_98
| spl38_583 ),
inference(resolution,[],[f4638,f1064]) ).
fof(f4661,plain,
( spl38_587
| ~ spl38_297
| ~ spl38_326 ),
inference(avatar_split_clause,[],[f2585,f2481,f2312,f4659]) ).
fof(f4659,plain,
( spl38_587
<=> ! [X0] :
( m1_subset_1(sK19(sK11(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_587])]) ).
fof(f2585,plain,
( ! [X0] :
( m1_subset_1(sK19(sK11(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK11(X0)) )
| ~ spl38_297
| ~ spl38_326 ),
inference(resolution,[],[f2482,f2313]) ).
fof(f4657,plain,
( spl38_586
| ~ spl38_297
| ~ spl38_316 ),
inference(avatar_split_clause,[],[f2441,f2437,f2312,f4655]) ).
fof(f4655,plain,
( spl38_586
<=> ! [X0] :
( m1_subset_1(sK19(sK19(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK19(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_586])]) ).
fof(f2441,plain,
( ! [X0] :
( m1_subset_1(sK19(sK19(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK19(k1_zfmisc_1(X0))) )
| ~ spl38_297
| ~ spl38_316 ),
inference(resolution,[],[f2438,f2313]) ).
fof(f4646,plain,
( ~ spl38_580
| ~ spl38_581
| ~ spl38_582
| ~ spl38_583
| ~ spl38_584
| ~ spl38_547
| spl38_585
| ~ spl38_258
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3779,f3775,f2031,f4644,f4295,f4640,f4636,f4632,f4628,f4624]) ).
fof(f4644,plain,
( spl38_585
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_585])]) ).
fof(f3779,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_1_waybel_0(sK9)))
| v1_xboole_0(X0)
| ~ l1_orders_2(k7_lattice3(sK9))
| ~ v1_yellow_0(k7_lattice3(sK9))
| ~ v1_lattice3(k7_lattice3(sK9))
| ~ v4_orders_2(k7_lattice3(sK9))
| ~ v3_orders_2(k7_lattice3(sK9))
| ~ v2_orders_2(k7_lattice3(sK9))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),X0) )
| ~ spl38_258
| ~ spl38_490 ),
inference(superposition,[],[f3776,f2033]) ).
fof(f4586,plain,
( spl38_579
| ~ spl38_136
| ~ spl38_350 ),
inference(avatar_split_clause,[],[f2880,f2725,f1226,f4584]) ).
fof(f4584,plain,
( spl38_579
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK25(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_579])]) ).
fof(f2880,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK25(X0,X1)) )
| ~ spl38_136
| ~ spl38_350 ),
inference(resolution,[],[f2726,f1227]) ).
fof(f4582,plain,
( spl38_578
| ~ spl38_302
| ~ spl38_350 ),
inference(avatar_split_clause,[],[f2879,f2725,f2332,f4580]) ).
fof(f4580,plain,
( spl38_578
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK24(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_578])]) ).
fof(f2879,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK24(X0,X1)) )
| ~ spl38_302
| ~ spl38_350 ),
inference(resolution,[],[f2726,f2333]) ).
fof(f4578,plain,
( spl38_577
| ~ spl38_307
| ~ spl38_341 ),
inference(avatar_split_clause,[],[f2675,f2630,f2378,f4576]) ).
fof(f4576,plain,
( spl38_577
<=> ! [X0,X1] :
( sK19(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_577])]) ).
fof(f2675,plain,
( ! [X0,X1] :
( sK19(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) )
| ~ spl38_307
| ~ spl38_341 ),
inference(resolution,[],[f2631,f2379]) ).
fof(f4574,plain,
( spl38_576
| ~ spl38_226
| ~ spl38_303 ),
inference(avatar_split_clause,[],[f2366,f2336,f1741,f4572]) ).
fof(f4572,plain,
( spl38_576
<=> ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_576])]) ).
fof(f2366,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl38_226
| ~ spl38_303 ),
inference(resolution,[],[f2337,f1742]) ).
fof(f4570,plain,
( ~ spl38_1
| ~ spl38_2
| ~ spl38_3
| ~ spl38_573
| ~ spl38_574
| ~ spl38_6
| spl38_575
| ~ spl38_243
| ~ spl38_490 ),
inference(avatar_split_clause,[],[f3784,f3775,f1861,f4568,f622,f4564,f4560,f607,f602,f597]) ).
fof(f4560,plain,
( spl38_573
<=> v1_lattice3(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_573])]) ).
fof(f4564,plain,
( spl38_574
<=> v1_yellow_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_574])]) ).
fof(f4568,plain,
( spl38_575
<=> ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK9))))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK9)),X0)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_575])]) ).
fof(f1861,plain,
( spl38_243
<=> k8_waybel_0(sK9) = a_1_0_waybel_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_243])]) ).
fof(f3784,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(a_1_0_waybel_0(sK9))))
| ~ v1_waybel_0(X0,k2_yellow_1(a_1_0_waybel_0(sK9)))
| v1_xboole_0(X0)
| ~ l1_orders_2(sK9)
| ~ v1_yellow_0(sK9)
| ~ v1_lattice3(sK9)
| ~ v4_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ v2_orders_2(sK9)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(a_1_0_waybel_0(sK9)),X0) )
| ~ spl38_243
| ~ spl38_490 ),
inference(superposition,[],[f3776,f1863]) ).
fof(f1863,plain,
( k8_waybel_0(sK9) = a_1_0_waybel_0(sK9)
| ~ spl38_243 ),
inference(avatar_component_clause,[],[f1861]) ).
fof(f4476,plain,
( spl38_572
| ~ spl38_297
| ~ spl38_322 ),
inference(avatar_split_clause,[],[f2579,f2465,f2312,f4474]) ).
fof(f4474,plain,
( spl38_572
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0)
| v1_xboole_0(sK18(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_572])]) ).
fof(f2579,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ sP3(X0)
| v1_xboole_0(sK18(X0)) )
| ~ spl38_297
| ~ spl38_322 ),
inference(resolution,[],[f2466,f2313]) ).
fof(f4472,plain,
( spl38_571
| ~ spl38_297
| ~ spl38_321 ),
inference(avatar_split_clause,[],[f2576,f2461,f2312,f4470]) ).
fof(f4470,plain,
( spl38_571
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_571])]) ).
fof(f2576,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK13(X0)) )
| ~ spl38_297
| ~ spl38_321 ),
inference(resolution,[],[f2462,f2313]) ).
fof(f4468,plain,
( spl38_570
| ~ spl38_297
| ~ spl38_320 ),
inference(avatar_split_clause,[],[f2573,f2457,f2312,f4466]) ).
fof(f4466,plain,
( spl38_570
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_570])]) ).
fof(f2573,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_orders_2(X0)
| v1_xboole_0(sK12(X0)) )
| ~ spl38_297
| ~ spl38_320 ),
inference(resolution,[],[f2458,f2313]) ).
fof(f4464,plain,
( spl38_569
| ~ spl38_171
| ~ spl38_319 ),
inference(avatar_split_clause,[],[f2569,f2453,f1390,f4462]) ).
fof(f4462,plain,
( spl38_569
<=> ! [X0] :
( ~ l1_orders_2(X0)
| v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_569])]) ).
fof(f2569,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ spl38_171
| ~ spl38_319 ),
inference(resolution,[],[f2454,f1391]) ).
fof(f4460,plain,
( spl38_568
| ~ spl38_73
| ~ spl38_547 ),
inference(avatar_split_clause,[],[f4373,f4295,f951,f4457]) ).
fof(f4373,plain,
( l1_struct_0(k7_lattice3(sK9))
| ~ spl38_73
| ~ spl38_547 ),
inference(resolution,[],[f4297,f952]) ).
fof(f4297,plain,
( l1_orders_2(k7_lattice3(sK9))
| ~ spl38_547 ),
inference(avatar_component_clause,[],[f4295]) ).
fof(f4455,plain,
( spl38_567
| ~ spl38_172
| ~ spl38_319 ),
inference(avatar_split_clause,[],[f2568,f2453,f1394,f4453]) ).
fof(f4453,plain,
( spl38_567
<=> ! [X0] :
( ~ l1_orders_2(X0)
| l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_567])]) ).
fof(f2568,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ spl38_172
| ~ spl38_319 ),
inference(resolution,[],[f2454,f1395]) ).
fof(f4451,plain,
( spl38_566
| ~ spl38_235
| ~ spl38_284 ),
inference(avatar_split_clause,[],[f2233,f2174,f1793,f4449]) ).
fof(f4449,plain,
( spl38_566
<=> ! [X0] :
( r2_hidden(sK23(sK28,X0),X0)
| sK28 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_566])]) ).
fof(f2174,plain,
( spl38_284
<=> ! [X1] : ~ r2_hidden(X1,sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_284])]) ).
fof(f2233,plain,
( ! [X0] :
( r2_hidden(sK23(sK28,X0),X0)
| sK28 = X0 )
| ~ spl38_235
| ~ spl38_284 ),
inference(resolution,[],[f2175,f1794]) ).
fof(f2175,plain,
( ! [X1] : ~ r2_hidden(X1,sK28)
| ~ spl38_284 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f4447,plain,
( spl38_565
| ~ spl38_235
| ~ spl38_284 ),
inference(avatar_split_clause,[],[f2232,f2174,f1793,f4445]) ).
fof(f4445,plain,
( spl38_565
<=> ! [X0] :
( r2_hidden(sK23(X0,sK28),X0)
| sK28 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_565])]) ).
fof(f2232,plain,
( ! [X0] :
( r2_hidden(sK23(X0,sK28),X0)
| sK28 = X0 )
| ~ spl38_235
| ~ spl38_284 ),
inference(resolution,[],[f2175,f1794]) ).
fof(f4432,plain,
( ~ spl38_517
| spl38_564
| ~ spl38_248
| ~ spl38_265 ),
inference(avatar_split_clause,[],[f2081,f2076,f1882,f4430,f4100]) ).
fof(f2076,plain,
( spl38_265
<=> k7_lattice3(sK9) = g1_orders_2(u1_struct_0(sK9),k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_265])]) ).
fof(f2081,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = X1
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9)) )
| ~ spl38_248
| ~ spl38_265 ),
inference(superposition,[],[f1883,f2078]) ).
fof(f2078,plain,
( k7_lattice3(sK9) = g1_orders_2(u1_struct_0(sK9),k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)))
| ~ spl38_265 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f4413,plain,
( ~ spl38_394
| spl38_563
| ~ spl38_132
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2846,f2834,f1210,f4410,f3032]) ).
fof(f3032,plain,
( spl38_394
<=> sP4(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_394])]) ).
fof(f4410,plain,
( spl38_563
<=> v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_563])]) ).
fof(f1210,plain,
( spl38_132
<=> ! [X0] :
( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_132])]) ).
fof(f2846,plain,
( v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_132
| ~ spl38_365 ),
inference(superposition,[],[f1211,f2836]) ).
fof(f1211,plain,
( ! [X0] :
( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_132 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f4408,plain,
( ~ spl38_394
| spl38_562
| ~ spl38_131
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2845,f2834,f1206,f4405,f3032]) ).
fof(f4405,plain,
( spl38_562
<=> v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_562])]) ).
fof(f1206,plain,
( spl38_131
<=> ! [X0] :
( v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_131])]) ).
fof(f2845,plain,
( v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_131
| ~ spl38_365 ),
inference(superposition,[],[f1207,f2836]) ).
fof(f1207,plain,
( ! [X0] :
( v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_131 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f4402,plain,
( ~ spl38_394
| spl38_561
| ~ spl38_130
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2844,f2834,f1202,f4399,f3032]) ).
fof(f4399,plain,
( spl38_561
<=> v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_561])]) ).
fof(f1202,plain,
( spl38_130
<=> ! [X0] :
( v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_130])]) ).
fof(f2844,plain,
( v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_130
| ~ spl38_365 ),
inference(superposition,[],[f1203,f2836]) ).
fof(f1203,plain,
( ! [X0] :
( v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_130 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f4391,plain,
( ~ spl38_394
| spl38_560
| ~ spl38_129
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2843,f2834,f1198,f4388,f3032]) ).
fof(f4388,plain,
( spl38_560
<=> v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_560])]) ).
fof(f1198,plain,
( spl38_129
<=> ! [X0] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_129])]) ).
fof(f2843,plain,
( v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_129
| ~ spl38_365 ),
inference(superposition,[],[f1199,f2836]) ).
fof(f1199,plain,
( ! [X0] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_129 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f4385,plain,
( ~ spl38_394
| spl38_559
| ~ spl38_128
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2842,f2834,f1194,f4382,f3032]) ).
fof(f4382,plain,
( spl38_559
<=> v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_559])]) ).
fof(f2842,plain,
( v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_128
| ~ spl38_365 ),
inference(superposition,[],[f1195,f2836]) ).
fof(f4367,plain,
( ~ spl38_394
| spl38_558
| ~ spl38_126
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2841,f2834,f1185,f4364,f3032]) ).
fof(f4364,plain,
( spl38_558
<=> v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_558])]) ).
fof(f1185,plain,
( spl38_126
<=> ! [X0] :
( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_126])]) ).
fof(f2841,plain,
( v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_126
| ~ spl38_365 ),
inference(superposition,[],[f1186,f2836]) ).
fof(f1186,plain,
( ! [X0] :
( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_126 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f4359,plain,
( ~ spl38_394
| spl38_557
| ~ spl38_125
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2840,f2834,f1181,f4356,f3032]) ).
fof(f4356,plain,
( spl38_557
<=> v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_557])]) ).
fof(f2840,plain,
( v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_125
| ~ spl38_365 ),
inference(superposition,[],[f1182,f2836]) ).
fof(f4354,plain,
( ~ spl38_394
| spl38_556
| ~ spl38_124
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2839,f2834,f1177,f4351,f3032]) ).
fof(f4351,plain,
( spl38_556
<=> v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_556])]) ).
fof(f1177,plain,
( spl38_124
<=> ! [X0] :
( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_124])]) ).
fof(f2839,plain,
( v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_124
| ~ spl38_365 ),
inference(superposition,[],[f1178,f2836]) ).
fof(f1178,plain,
( ! [X0] :
( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_124 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f4349,plain,
( ~ spl38_394
| ~ spl38_555
| ~ spl38_123
| ~ spl38_365 ),
inference(avatar_split_clause,[],[f2838,f2834,f1173,f4346,f3032]) ).
fof(f4346,plain,
( spl38_555
<=> v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_555])]) ).
fof(f1173,plain,
( spl38_123
<=> ! [X0] :
( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_123])]) ).
fof(f2838,plain,
( ~ v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK37)))
| ~ sP4(sK37)
| ~ spl38_123
| ~ spl38_365 ),
inference(superposition,[],[f1174,f2836]) ).
fof(f1174,plain,
( ! [X0] :
( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_123 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f4341,plain,
( ~ spl38_393
| spl38_554
| ~ spl38_132
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2831,f2819,f1210,f4338,f3024]) ).
fof(f3024,plain,
( spl38_393
<=> sP4(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_393])]) ).
fof(f4338,plain,
( spl38_554
<=> v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_554])]) ).
fof(f2831,plain,
( v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_132
| ~ spl38_364 ),
inference(superposition,[],[f1211,f2821]) ).
fof(f4336,plain,
( spl38_553
| ~ spl38_171
| ~ spl38_265
| ~ spl38_517 ),
inference(avatar_split_clause,[],[f4267,f4100,f2076,f1390,f4333]) ).
fof(f4333,plain,
( spl38_553
<=> v1_orders_2(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_553])]) ).
fof(f4267,plain,
( v1_orders_2(k7_lattice3(sK9))
| ~ spl38_171
| ~ spl38_265
| ~ spl38_517 ),
inference(forward_demodulation,[],[f4262,f2078]) ).
fof(f4262,plain,
( v1_orders_2(g1_orders_2(u1_struct_0(sK9),k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9))))
| ~ spl38_171
| ~ spl38_517 ),
inference(resolution,[],[f4101,f1391]) ).
fof(f4331,plain,
( ~ spl38_393
| spl38_552
| ~ spl38_131
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2830,f2819,f1206,f4328,f3024]) ).
fof(f4328,plain,
( spl38_552
<=> v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_552])]) ).
fof(f2830,plain,
( v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_131
| ~ spl38_364 ),
inference(superposition,[],[f1207,f2821]) ).
fof(f4325,plain,
( ~ spl38_393
| spl38_551
| ~ spl38_130
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2829,f2819,f1202,f4322,f3024]) ).
fof(f4322,plain,
( spl38_551
<=> v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_551])]) ).
fof(f2829,plain,
( v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_130
| ~ spl38_364 ),
inference(superposition,[],[f1203,f2821]) ).
fof(f4314,plain,
( ~ spl38_393
| spl38_550
| ~ spl38_129
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2828,f2819,f1198,f4311,f3024]) ).
fof(f4311,plain,
( spl38_550
<=> v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_550])]) ).
fof(f2828,plain,
( v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_129
| ~ spl38_364 ),
inference(superposition,[],[f1199,f2821]) ).
fof(f4308,plain,
( ~ spl38_393
| spl38_549
| ~ spl38_128
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2827,f2819,f1194,f4305,f3024]) ).
fof(f4305,plain,
( spl38_549
<=> v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_549])]) ).
fof(f2827,plain,
( v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_128
| ~ spl38_364 ),
inference(superposition,[],[f1195,f2821]) ).
fof(f4303,plain,
( ~ spl38_393
| spl38_548
| ~ spl38_126
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2826,f2819,f1185,f4300,f3024]) ).
fof(f4300,plain,
( spl38_548
<=> v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_548])]) ).
fof(f2826,plain,
( v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_126
| ~ spl38_364 ),
inference(superposition,[],[f1186,f2821]) ).
fof(f4298,plain,
( spl38_547
| ~ spl38_172
| ~ spl38_265
| ~ spl38_517 ),
inference(avatar_split_clause,[],[f4266,f4100,f2076,f1394,f4295]) ).
fof(f4266,plain,
( l1_orders_2(k7_lattice3(sK9))
| ~ spl38_172
| ~ spl38_265
| ~ spl38_517 ),
inference(forward_demodulation,[],[f4261,f2078]) ).
fof(f4261,plain,
( l1_orders_2(g1_orders_2(u1_struct_0(sK9),k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9))))
| ~ spl38_172
| ~ spl38_517 ),
inference(resolution,[],[f4101,f1395]) ).
fof(f4290,plain,
( ~ spl38_393
| spl38_546
| ~ spl38_125
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2825,f2819,f1181,f4287,f3024]) ).
fof(f4287,plain,
( spl38_546
<=> v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_546])]) ).
fof(f2825,plain,
( v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_125
| ~ spl38_364 ),
inference(superposition,[],[f1182,f2821]) ).
fof(f4285,plain,
( ~ spl38_393
| spl38_545
| ~ spl38_124
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2824,f2819,f1177,f4282,f3024]) ).
fof(f4282,plain,
( spl38_545
<=> v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_545])]) ).
fof(f2824,plain,
( v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_124
| ~ spl38_364 ),
inference(superposition,[],[f1178,f2821]) ).
fof(f4280,plain,
( ~ spl38_393
| ~ spl38_544
| ~ spl38_123
| ~ spl38_364 ),
inference(avatar_split_clause,[],[f2823,f2819,f1173,f4277,f3024]) ).
fof(f4277,plain,
( spl38_544
<=> v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_544])]) ).
fof(f2823,plain,
( ~ v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK36)))
| ~ sP4(sK36)
| ~ spl38_123
| ~ spl38_364 ),
inference(superposition,[],[f1174,f2821]) ).
fof(f4272,plain,
( ~ spl38_391
| spl38_543
| ~ spl38_132
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2811,f2799,f1210,f4269,f3015]) ).
fof(f3015,plain,
( spl38_391
<=> sP4(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_391])]) ).
fof(f4269,plain,
( spl38_543
<=> v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_543])]) ).
fof(f2811,plain,
( v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_132
| ~ spl38_362 ),
inference(superposition,[],[f1211,f2801]) ).
fof(f4249,plain,
( ~ spl38_6
| ~ spl38_319
| spl38_532 ),
inference(avatar_split_clause,[],[f4215,f4180,f2453,f622]) ).
fof(f4215,plain,
( ~ l1_orders_2(sK9)
| ~ spl38_319
| spl38_532 ),
inference(resolution,[],[f4182,f2454]) ).
fof(f4182,plain,
( ~ m1_relset_1(u1_orders_2(sK9),u1_struct_0(sK9),u1_struct_0(sK9))
| spl38_532 ),
inference(avatar_component_clause,[],[f4180]) ).
fof(f4248,plain,
( ~ spl38_391
| spl38_542
| ~ spl38_131
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2810,f2799,f1206,f4245,f3015]) ).
fof(f4245,plain,
( spl38_542
<=> v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_542])]) ).
fof(f2810,plain,
( v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_131
| ~ spl38_362 ),
inference(superposition,[],[f1207,f2801]) ).
fof(f4242,plain,
( ~ spl38_391
| spl38_541
| ~ spl38_130
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2809,f2799,f1202,f4239,f3015]) ).
fof(f4239,plain,
( spl38_541
<=> v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_541])]) ).
fof(f2809,plain,
( v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_130
| ~ spl38_362 ),
inference(superposition,[],[f1203,f2801]) ).
fof(f4231,plain,
( ~ spl38_391
| spl38_540
| ~ spl38_129
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2808,f2799,f1198,f4228,f3015]) ).
fof(f4228,plain,
( spl38_540
<=> v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_540])]) ).
fof(f2808,plain,
( v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_129
| ~ spl38_362 ),
inference(superposition,[],[f1199,f2801]) ).
fof(f4225,plain,
( ~ spl38_391
| spl38_539
| ~ spl38_128
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2807,f2799,f1194,f4222,f3015]) ).
fof(f4222,plain,
( spl38_539
<=> v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_539])]) ).
fof(f2807,plain,
( v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_128
| ~ spl38_362 ),
inference(superposition,[],[f1195,f2801]) ).
fof(f4220,plain,
( ~ spl38_391
| spl38_538
| ~ spl38_126
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2806,f2799,f1185,f4217,f3015]) ).
fof(f4217,plain,
( spl38_538
<=> v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_538])]) ).
fof(f2806,plain,
( v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_126
| ~ spl38_362 ),
inference(superposition,[],[f1186,f2801]) ).
fof(f4211,plain,
( ~ spl38_391
| spl38_537
| ~ spl38_125
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2805,f2799,f1181,f4208,f3015]) ).
fof(f4208,plain,
( spl38_537
<=> v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_537])]) ).
fof(f2805,plain,
( v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_125
| ~ spl38_362 ),
inference(superposition,[],[f1182,f2801]) ).
fof(f4206,plain,
( ~ spl38_391
| spl38_536
| ~ spl38_124
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2804,f2799,f1177,f4203,f3015]) ).
fof(f4203,plain,
( spl38_536
<=> v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_536])]) ).
fof(f2804,plain,
( v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_124
| ~ spl38_362 ),
inference(superposition,[],[f1178,f2801]) ).
fof(f4201,plain,
( ~ spl38_391
| ~ spl38_535
| ~ spl38_123
| ~ spl38_362 ),
inference(avatar_split_clause,[],[f2803,f2799,f1173,f4198,f3015]) ).
fof(f4198,plain,
( spl38_535
<=> v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_535])]) ).
fof(f2803,plain,
( ~ v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK35)))
| ~ sP4(sK35)
| ~ spl38_123
| ~ spl38_362 ),
inference(superposition,[],[f1174,f2801]) ).
fof(f4193,plain,
( ~ spl38_389
| spl38_534
| ~ spl38_132
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2796,f2784,f1210,f4190,f3006]) ).
fof(f3006,plain,
( spl38_389
<=> sP4(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_389])]) ).
fof(f4190,plain,
( spl38_534
<=> v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_534])]) ).
fof(f2796,plain,
( v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_132
| ~ spl38_361 ),
inference(superposition,[],[f1211,f2786]) ).
fof(f4188,plain,
( ~ spl38_389
| spl38_533
| ~ spl38_131
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2795,f2784,f1206,f4185,f3006]) ).
fof(f4185,plain,
( spl38_533
<=> v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_533])]) ).
fof(f2795,plain,
( v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_131
| ~ spl38_361 ),
inference(superposition,[],[f1207,f2786]) ).
fof(f4183,plain,
( ~ spl38_532
| ~ spl38_352
| spl38_517 ),
inference(avatar_split_clause,[],[f4112,f4100,f2733,f4180]) ).
fof(f4112,plain,
( ~ m1_relset_1(u1_orders_2(sK9),u1_struct_0(sK9),u1_struct_0(sK9))
| ~ spl38_352
| spl38_517 ),
inference(resolution,[],[f4102,f2734]) ).
fof(f4102,plain,
( ~ m1_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9))
| spl38_517 ),
inference(avatar_component_clause,[],[f4100]) ).
fof(f4177,plain,
( ~ spl38_389
| spl38_531
| ~ spl38_130
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2794,f2784,f1202,f4174,f3006]) ).
fof(f4174,plain,
( spl38_531
<=> v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_531])]) ).
fof(f2794,plain,
( v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_130
| ~ spl38_361 ),
inference(superposition,[],[f1203,f2786]) ).
fof(f4166,plain,
( ~ spl38_389
| spl38_530
| ~ spl38_129
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2793,f2784,f1198,f4163,f3006]) ).
fof(f4163,plain,
( spl38_530
<=> v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_530])]) ).
fof(f2793,plain,
( v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_129
| ~ spl38_361 ),
inference(superposition,[],[f1199,f2786]) ).
fof(f4160,plain,
( ~ spl38_389
| spl38_529
| ~ spl38_128
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2792,f2784,f1194,f4157,f3006]) ).
fof(f4157,plain,
( spl38_529
<=> v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_529])]) ).
fof(f2792,plain,
( v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_128
| ~ spl38_361 ),
inference(superposition,[],[f1195,f2786]) ).
fof(f4155,plain,
( ~ spl38_389
| spl38_528
| ~ spl38_126
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2791,f2784,f1185,f4152,f3006]) ).
fof(f4152,plain,
( spl38_528
<=> v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_528])]) ).
fof(f2791,plain,
( v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_126
| ~ spl38_361 ),
inference(superposition,[],[f1186,f2786]) ).
fof(f4147,plain,
( ~ spl38_389
| spl38_527
| ~ spl38_125
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2790,f2784,f1181,f4144,f3006]) ).
fof(f4144,plain,
( spl38_527
<=> v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_527])]) ).
fof(f2790,plain,
( v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_125
| ~ spl38_361 ),
inference(superposition,[],[f1182,f2786]) ).
fof(f4142,plain,
( ~ spl38_389
| spl38_526
| ~ spl38_124
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2789,f2784,f1177,f4139,f3006]) ).
fof(f4139,plain,
( spl38_526
<=> v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_526])]) ).
fof(f2789,plain,
( v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_124
| ~ spl38_361 ),
inference(superposition,[],[f1178,f2786]) ).
fof(f4137,plain,
( ~ spl38_389
| ~ spl38_525
| ~ spl38_123
| ~ spl38_361 ),
inference(avatar_split_clause,[],[f2788,f2784,f1173,f4134,f3006]) ).
fof(f4134,plain,
( spl38_525
<=> v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_525])]) ).
fof(f2788,plain,
( ~ v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK34)))
| ~ sP4(sK34)
| ~ spl38_123
| ~ spl38_361 ),
inference(superposition,[],[f1174,f2786]) ).
fof(f4132,plain,
( spl38_524
| ~ spl38_297
| ~ spl38_307 ),
inference(avatar_split_clause,[],[f2385,f2378,f2312,f4130]) ).
fof(f4130,plain,
( spl38_524
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK19(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_524])]) ).
fof(f2385,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK19(k1_zfmisc_1(X0))) )
| ~ spl38_297
| ~ spl38_307 ),
inference(resolution,[],[f2379,f2313]) ).
fof(f4128,plain,
( spl38_523
| ~ spl38_171
| ~ spl38_301 ),
inference(avatar_split_clause,[],[f2360,f2328,f1390,f4126]) ).
fof(f4126,plain,
( spl38_523
<=> ! [X0] : v1_orders_2(g1_orders_2(X0,sK25(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_523])]) ).
fof(f2360,plain,
( ! [X0] : v1_orders_2(g1_orders_2(X0,sK25(X0,X0)))
| ~ spl38_171
| ~ spl38_301 ),
inference(resolution,[],[f2329,f1391]) ).
fof(f4124,plain,
( spl38_522
| ~ spl38_172
| ~ spl38_301 ),
inference(avatar_split_clause,[],[f2359,f2328,f1394,f4122]) ).
fof(f4122,plain,
( spl38_522
<=> ! [X0] : l1_orders_2(g1_orders_2(X0,sK25(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_522])]) ).
fof(f2359,plain,
( ! [X0] : l1_orders_2(g1_orders_2(X0,sK25(X0,X0)))
| ~ spl38_172
| ~ spl38_301 ),
inference(resolution,[],[f2329,f1395]) ).
fof(f4120,plain,
( spl38_521
| ~ spl38_73
| ~ spl38_299 ),
inference(avatar_split_clause,[],[f2351,f2320,f951,f4118]) ).
fof(f4118,plain,
( spl38_521
<=> ! [X0] : l1_struct_0(g1_orders_2(X0,sK24(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_521])]) ).
fof(f2351,plain,
( ! [X0] : l1_struct_0(g1_orders_2(X0,sK24(X0,X0)))
| ~ spl38_73
| ~ spl38_299 ),
inference(resolution,[],[f2321,f952]) ).
fof(f4116,plain,
( spl38_520
| ~ spl38_133
| ~ spl38_297 ),
inference(avatar_split_clause,[],[f2341,f2312,f1214,f4114]) ).
fof(f4114,plain,
( spl38_520
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK19(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_520])]) ).
fof(f2341,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK19(X0)) )
| ~ spl38_133
| ~ spl38_297 ),
inference(resolution,[],[f2313,f1215]) ).
fof(f4111,plain,
( ~ spl38_519
| ~ spl38_501
| ~ spl38_510 ),
inference(avatar_split_clause,[],[f4057,f4017,f3901,f4108]) ).
fof(f4108,plain,
( spl38_519
<=> r2_hidden(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_519])]) ).
fof(f3901,plain,
( spl38_501
<=> ! [X0] :
( r2_hidden(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_501])]) ).
fof(f4017,plain,
( spl38_510
<=> ! [X0] :
( ~ r2_hidden(X0,sK10)
| ~ r2_hidden(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_510])]) ).
fof(f4057,plain,
( ~ r2_hidden(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))),sK10)
| ~ spl38_501
| ~ spl38_510 ),
inference(duplicate_literal_removal,[],[f4052]) ).
fof(f4052,plain,
( ~ r2_hidden(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))),sK10)
| ~ r2_hidden(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))),sK10)
| ~ spl38_501
| ~ spl38_510 ),
inference(resolution,[],[f4018,f3902]) ).
fof(f3902,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) )
| ~ spl38_501 ),
inference(avatar_component_clause,[],[f3901]) ).
fof(f4018,plain,
( ! [X0] :
( ~ r2_hidden(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))),X0)
| ~ r2_hidden(X0,sK10) )
| ~ spl38_510 ),
inference(avatar_component_clause,[],[f4017]) ).
fof(f4106,plain,
( ~ spl38_517
| spl38_518
| ~ spl38_247
| ~ spl38_265 ),
inference(avatar_split_clause,[],[f2083,f2076,f1878,f4104,f4100]) ).
fof(f2083,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| u1_struct_0(sK9) = X0
| ~ m1_relset_1(k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)),u1_struct_0(sK9),u1_struct_0(sK9)) )
| ~ spl38_247
| ~ spl38_265 ),
inference(superposition,[],[f1879,f2078]) ).
fof(f4095,plain,
( spl38_516
| ~ spl38_186
| ~ spl38_303 ),
inference(avatar_split_clause,[],[f2365,f2336,f1509,f4093]) ).
fof(f2365,plain,
( ! [X0] :
( v1_relat_1(u1_orders_2(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_186
| ~ spl38_303 ),
inference(resolution,[],[f2337,f1510]) ).
fof(f4080,plain,
( spl38_515
| ~ spl38_248
| ~ spl38_265 ),
inference(avatar_split_clause,[],[f2080,f2076,f1882,f4078]) ).
fof(f4078,plain,
( spl38_515
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = X1
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_515])]) ).
fof(f2080,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)) = X1
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_248
| ~ spl38_265 ),
inference(superposition,[],[f1883,f2078]) ).
fof(f4071,plain,
( spl38_514
| ~ spl38_6
| ~ spl38_458 ),
inference(avatar_split_clause,[],[f3569,f3559,f622,f4068]) ).
fof(f3569,plain,
( k7_lattice3(k7_lattice3(sK9)) = g1_orders_2(u1_struct_0(k7_lattice3(sK9)),k6_relset_1(u1_struct_0(k7_lattice3(sK9)),u1_struct_0(k7_lattice3(sK9)),u1_orders_2(k7_lattice3(sK9))))
| ~ spl38_6
| ~ spl38_458 ),
inference(resolution,[],[f3560,f624]) ).
fof(f4044,plain,
( spl38_513
| ~ spl38_71
| ~ spl38_306 ),
inference(avatar_split_clause,[],[f2384,f2374,f943,f4042]) ).
fof(f4042,plain,
( spl38_513
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_513])]) ).
fof(f2374,plain,
( spl38_306
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_306])]) ).
fof(f2384,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl38_71
| ~ spl38_306 ),
inference(resolution,[],[f2375,f944]) ).
fof(f2375,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl38_306 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f4040,plain,
( spl38_512
| ~ spl38_136
| ~ spl38_303 ),
inference(avatar_split_clause,[],[f2368,f2336,f1226,f4038]) ).
fof(f4038,plain,
( spl38_512
<=> ! [X0,X1] : v1_relat_1(sK25(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_512])]) ).
fof(f2368,plain,
( ! [X0,X1] : v1_relat_1(sK25(X0,X1))
| ~ spl38_136
| ~ spl38_303 ),
inference(resolution,[],[f2337,f1227]) ).
fof(f4036,plain,
( spl38_511
| ~ spl38_302
| ~ spl38_303 ),
inference(avatar_split_clause,[],[f2367,f2336,f2332,f4034]) ).
fof(f4034,plain,
( spl38_511
<=> ! [X0,X1] : v1_relat_1(sK24(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_511])]) ).
fof(f2367,plain,
( ! [X0,X1] : v1_relat_1(sK24(X0,X1))
| ~ spl38_302
| ~ spl38_303 ),
inference(resolution,[],[f2337,f2333]) ).
fof(f4021,plain,
( ~ spl38_44
| spl38_434
| ~ spl38_110
| ~ spl38_286 ),
inference(avatar_split_clause,[],[f2257,f2252,f1120,f3397,f812]) ).
fof(f1120,plain,
( spl38_110
<=> ! [X0] :
( v1_yellow_0(X0)
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_110])]) ).
fof(f2252,plain,
( spl38_286
<=> v3_yellow_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_286])]) ).
fof(f2257,plain,
( v1_yellow_0(sK36)
| ~ l1_orders_2(sK36)
| ~ spl38_110
| ~ spl38_286 ),
inference(resolution,[],[f2254,f1121]) ).
fof(f1121,plain,
( ! [X0] :
( ~ v3_yellow_0(X0)
| v1_yellow_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_110 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f2254,plain,
( v3_yellow_0(sK36)
| ~ spl38_286 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f4020,plain,
( ~ spl38_44
| spl38_392
| ~ spl38_111
| ~ spl38_286 ),
inference(avatar_split_clause,[],[f2256,f2252,f1124,f3020,f812]) ).
fof(f1124,plain,
( spl38_111
<=> ! [X0] :
( v2_yellow_0(X0)
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_111])]) ).
fof(f2256,plain,
( v2_yellow_0(sK36)
| ~ l1_orders_2(sK36)
| ~ spl38_111
| ~ spl38_286 ),
inference(resolution,[],[f2254,f1125]) ).
fof(f1125,plain,
( ! [X0] :
( ~ v3_yellow_0(X0)
| v2_yellow_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_111 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f4019,plain,
( spl38_510
| ~ spl38_133
| ~ spl38_501 ),
inference(avatar_split_clause,[],[f3982,f3901,f1214,f4017]) ).
fof(f3982,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK10)
| ~ r2_hidden(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))),X0) )
| ~ spl38_133
| ~ spl38_501 ),
inference(resolution,[],[f3902,f1215]) ).
fof(f4014,plain,
( ~ spl38_37
| spl38_509
| ~ spl38_110
| ~ spl38_285 ),
inference(avatar_split_clause,[],[f2250,f2245,f1120,f4011,f777]) ).
fof(f2245,plain,
( spl38_285
<=> v3_yellow_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_285])]) ).
fof(f2250,plain,
( v1_yellow_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_110
| ~ spl38_285 ),
inference(resolution,[],[f2247,f1121]) ).
fof(f2247,plain,
( v3_yellow_0(sK35)
| ~ spl38_285 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f4009,plain,
( ~ spl38_37
| spl38_390
| ~ spl38_111
| ~ spl38_285 ),
inference(avatar_split_clause,[],[f2249,f2245,f1124,f3011,f777]) ).
fof(f2249,plain,
( v2_yellow_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_111
| ~ spl38_285 ),
inference(resolution,[],[f2247,f1125]) ).
fof(f4008,plain,
( spl38_508
| ~ spl38_106
| ~ spl38_267 ),
inference(avatar_split_clause,[],[f2093,f2090,f1096,f4006]) ).
fof(f4006,plain,
( spl38_508
<=> ! [X0] : m1_subset_1(sK28,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_508])]) ).
fof(f1096,plain,
( spl38_106
<=> ! [X0] : m1_subset_1(sK20(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_106])]) ).
fof(f2090,plain,
( spl38_267
<=> ! [X0] : sK20(X0) = sK28 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_267])]) ).
fof(f2093,plain,
( ! [X0] : m1_subset_1(sK28,k1_zfmisc_1(X0))
| ~ spl38_106
| ~ spl38_267 ),
inference(superposition,[],[f1097,f2091]) ).
fof(f2091,plain,
( ! [X0] : sK20(X0) = sK28
| ~ spl38_267 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f1097,plain,
( ! [X0] : m1_subset_1(sK20(X0),k1_zfmisc_1(X0))
| ~ spl38_106 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f4004,plain,
( spl38_242
| ~ spl38_1
| ~ spl38_2
| ~ spl38_3
| ~ spl38_4
| ~ spl38_6
| ~ spl38_507
| ~ spl38_250
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2018,f2000,f1923,f4001,f622,f612,f607,f602,f597,f1857]) ).
fof(f1857,plain,
( spl38_242
<=> v3_struct_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_242])]) ).
fof(f4001,plain,
( spl38_507
<=> v1_xboole_0(a_1_1_waybel_0(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_507])]) ).
fof(f2000,plain,
( spl38_255
<=> k9_waybel_0(sK9) = a_1_1_waybel_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_255])]) ).
fof(f2018,plain,
( ~ v1_xboole_0(a_1_1_waybel_0(sK9))
| ~ l1_orders_2(sK9)
| ~ v2_yellow_0(sK9)
| ~ v4_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ v2_orders_2(sK9)
| v3_struct_0(sK9)
| ~ spl38_250
| ~ spl38_255 ),
inference(superposition,[],[f1924,f2002]) ).
fof(f2002,plain,
( k9_waybel_0(sK9) = a_1_1_waybel_0(sK9)
| ~ spl38_255 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f3989,plain,
( spl38_506
| ~ spl38_247
| ~ spl38_265 ),
inference(avatar_split_clause,[],[f2082,f2076,f1878,f3987]) ).
fof(f3987,plain,
( spl38_506
<=> ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| u1_struct_0(sK9) = X0
| ~ m1_relset_1(X1,X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_506])]) ).
fof(f2082,plain,
( ! [X0,X1] :
( g1_orders_2(X0,X1) != k7_lattice3(sK9)
| u1_struct_0(sK9) = X0
| ~ m1_relset_1(X1,X0,X0) )
| ~ spl38_247
| ~ spl38_265 ),
inference(superposition,[],[f1879,f2078]) ).
fof(f3957,plain,
( spl38_505
| ~ spl38_244
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1992,f1982,f1866,f3955]) ).
fof(f1866,plain,
( spl38_244
<=> ! [X0] :
( m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_244])]) ).
fof(f1992,plain,
( ! [X0] :
( k3_tarski(sK17(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK17(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK17(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_244
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1867]) ).
fof(f1867,plain,
( ! [X0] :
( m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_244 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f3953,plain,
( spl38_504
| ~ spl38_241
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1991,f1982,f1853,f3951]) ).
fof(f3951,plain,
( spl38_504
<=> ! [X0] :
( k3_tarski(sK16(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK16(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK16(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK16(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_504])]) ).
fof(f1853,plain,
( spl38_241
<=> ! [X0] :
( m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_241])]) ).
fof(f1991,plain,
( ! [X0] :
( k3_tarski(sK16(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK16(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK16(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK16(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v3_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_241
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1854]) ).
fof(f1854,plain,
( ! [X0] :
( m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_241 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f3943,plain,
( spl38_503
| ~ spl38_201
| ~ spl38_253 ),
inference(avatar_split_clause,[],[f1975,f1972,f1580,f3941]) ).
fof(f3941,plain,
( spl38_503
<=> ! [X0] :
( ~ v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v1_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| sP0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_503])]) ).
fof(f1580,plain,
( spl38_201
<=> ! [X0] :
( v1_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_201])]) ).
fof(f1975,plain,
( ! [X0] :
( ~ v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v1_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| sP0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_201
| ~ spl38_253 ),
inference(resolution,[],[f1973,f1581]) ).
fof(f1581,plain,
( ! [X0] :
( v1_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_201 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f3907,plain,
( spl38_502
| ~ spl38_214
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1997,f1982,f1634,f3905]) ).
fof(f1634,plain,
( spl38_214
<=> ! [X0,X1] :
( m1_subset_1(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_214])]) ).
fof(f1997,plain,
( ! [X0,X1] :
( k3_tarski(sK22(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ v1_waybel_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))),k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(sK22(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP7(X0,k2_yellow_1(k8_waybel_0(X1))) )
| ~ spl38_214
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1635]) ).
fof(f1635,plain,
( ! [X0,X1] :
( m1_subset_1(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP7(X0,X1) )
| ~ spl38_214 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f3903,plain,
( spl38_501
| ~ spl38_255
| ~ spl38_495 ),
inference(avatar_split_clause,[],[f3825,f3822,f2000,f3901]) ).
fof(f3822,plain,
( spl38_495
<=> ! [X0] :
( ~ r2_hidden(X0,sK10)
| r2_hidden(X0,u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_495])]) ).
fof(f3825,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) )
| ~ spl38_255
| ~ spl38_495 ),
inference(forward_demodulation,[],[f3823,f2002]) ).
fof(f3823,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK10)
| r2_hidden(X0,u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))) )
| ~ spl38_495 ),
inference(avatar_component_clause,[],[f3822]) ).
fof(f3899,plain,
( spl38_500
| ~ spl38_211
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1996,f1982,f1620,f3897]) ).
fof(f3897,plain,
( spl38_500
<=> ! [X0,X1] :
( k3_tarski(sK21(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK21(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ v1_waybel_0(sK21(X0,k2_yellow_1(k8_waybel_0(X1))),k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(sK21(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP5(X0,k2_yellow_1(k8_waybel_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_500])]) ).
fof(f1620,plain,
( spl38_211
<=> ! [X0,X1] :
( m1_subset_1(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_211])]) ).
fof(f1996,plain,
( ! [X0,X1] :
( k3_tarski(sK21(X0,k2_yellow_1(k8_waybel_0(X1)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),sK21(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ v1_waybel_0(sK21(X0,k2_yellow_1(k8_waybel_0(X1))),k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(sK21(X0,k2_yellow_1(k8_waybel_0(X1))))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ sP5(X0,k2_yellow_1(k8_waybel_0(X1))) )
| ~ spl38_211
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1621]) ).
fof(f1621,plain,
( ! [X0,X1] :
( m1_subset_1(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP5(X0,X1) )
| ~ spl38_211 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f3895,plain,
( spl38_499
| ~ spl38_139
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1986,f1982,f1250,f3893]) ).
fof(f3893,plain,
( spl38_499
<=> ! [X0] :
( k3_tarski(sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_xboole_0(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_499])]) ).
fof(f1250,plain,
( spl38_139
<=> ! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_139])]) ).
fof(f1986,plain,
( ! [X0] :
( k3_tarski(sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK11(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v1_xboole_0(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))) )
| ~ spl38_139
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1251]) ).
fof(f1251,plain,
( ! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl38_139 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f3861,plain,
( spl38_498
| ~ spl38_89
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1994,f1982,f1015,f3859]) ).
fof(f3859,plain,
( spl38_498
<=> ! [X0] :
( k3_tarski(sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))))
| ~ v1_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_498])]) ).
fof(f1015,plain,
( spl38_89
<=> ! [X0] : m1_subset_1(sK19(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_89])]) ).
fof(f1994,plain,
( ! [X0] :
( k3_tarski(sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))))
| ~ v1_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK19(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) )
| ~ spl38_89
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1016]) ).
fof(f1016,plain,
( ! [X0] : m1_subset_1(sK19(X0),X0)
| ~ spl38_89 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f3857,plain,
( spl38_497
| ~ spl38_198
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1990,f1982,f1568,f3855]) ).
fof(f3855,plain,
( spl38_497
<=> ! [X0] :
( k3_tarski(sK15(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK15(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK15(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK15(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_497])]) ).
fof(f1568,plain,
( spl38_198
<=> ! [X0] :
( m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_198])]) ).
fof(f1990,plain,
( ! [X0] :
( k3_tarski(sK15(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK15(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK15(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK15(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_198
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1569]) ).
fof(f1569,plain,
( ! [X0] :
( m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_198 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f3853,plain,
( spl38_496
| ~ spl38_195
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1989,f1982,f1556,f3851]) ).
fof(f3851,plain,
( spl38_496
<=> ! [X0] :
( k3_tarski(sK14(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK14(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK14(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK14(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_struct_0(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_496])]) ).
fof(f1556,plain,
( spl38_195
<=> ! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_195])]) ).
fof(f1989,plain,
( ! [X0] :
( k3_tarski(sK14(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK14(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK14(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK14(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_struct_0(k2_yellow_1(k8_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_195
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1557]) ).
fof(f1557,plain,
( ! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl38_195 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f3824,plain,
( spl38_192
| spl38_495
| ~ spl38_170
| ~ spl38_219 ),
inference(avatar_split_clause,[],[f1755,f1713,f1386,f3822,f1543]) ).
fof(f1543,plain,
( spl38_192
<=> v1_xboole_0(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_192])]) ).
fof(f1386,plain,
( spl38_170
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_170])]) ).
fof(f1713,plain,
( spl38_219
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_219])]) ).
fof(f1755,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK10)
| v1_xboole_0(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))
| r2_hidden(X0,u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))) )
| ~ spl38_170
| ~ spl38_219 ),
inference(resolution,[],[f1714,f1387]) ).
fof(f1387,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl38_170 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1714,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) )
| ~ spl38_219 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f3810,plain,
( spl38_494
| ~ spl38_168
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1993,f1982,f1378,f3808]) ).
fof(f1378,plain,
( spl38_168
<=> ! [X0] :
( m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_168])]) ).
fof(f1993,plain,
( ! [X0] :
( k3_tarski(sK18(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK18(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK18(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ sP3(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_168
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1379]) ).
fof(f1379,plain,
( ! [X0] :
( m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0) )
| ~ spl38_168 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f3806,plain,
( spl38_493
| ~ spl38_163
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1988,f1982,f1358,f3804]) ).
fof(f1358,plain,
( spl38_163
<=> ! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_163])]) ).
fof(f1988,plain,
( ! [X0] :
( k3_tarski(sK13(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK13(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK13(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_163
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1359]) ).
fof(f1359,plain,
( ! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_163 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f3802,plain,
( spl38_492
| ~ spl38_162
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1987,f1982,f1354,f3800]) ).
fof(f3800,plain,
( spl38_492
<=> ! [X0] :
( k3_tarski(sK12(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK12(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK12(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK12(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_492])]) ).
fof(f1354,plain,
( spl38_162
<=> ! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_162])]) ).
fof(f1987,plain,
( ! [X0] :
( k3_tarski(sK12(k2_yellow_1(k8_waybel_0(X0)))) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK12(k2_yellow_1(k8_waybel_0(X0))))
| ~ v1_waybel_0(sK12(k2_yellow_1(k8_waybel_0(X0))),k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(sK12(k2_yellow_1(k8_waybel_0(X0))))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(k2_yellow_1(k8_waybel_0(X0))) )
| ~ spl38_162
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1355]) ).
fof(f1355,plain,
( ! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_162 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f3792,plain,
( spl38_491
| ~ spl38_201
| ~ spl38_245 ),
inference(avatar_split_clause,[],[f1902,f1870,f1580,f3790]) ).
fof(f3790,plain,
( spl38_491
<=> ! [X0] :
( ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| sP3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_491])]) ).
fof(f1902,plain,
( ! [X0] :
( ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| sP3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_201
| ~ spl38_245 ),
inference(resolution,[],[f1871,f1581]) ).
fof(f3777,plain,
( spl38_490
| ~ spl38_156
| ~ spl38_254 ),
inference(avatar_split_clause,[],[f1985,f1982,f1318,f3775]) ).
fof(f1318,plain,
( spl38_156
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_156])]) ).
fof(f1985,plain,
( ! [X0,X1] :
( k3_tarski(X0) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X0)
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(X1)))
| v1_xboole_0(X0)
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ r1_tarski(X0,u1_struct_0(k2_yellow_1(k8_waybel_0(X1)))) )
| ~ spl38_156
| ~ spl38_254 ),
inference(resolution,[],[f1983,f1319]) ).
fof(f1319,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl38_156 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f3743,plain,
( spl38_489
| ~ spl38_197
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1749,f1717,f1564,f3741]) ).
fof(f3741,plain,
( spl38_489
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_489])]) ).
fof(f1564,plain,
( spl38_197
<=> ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_197])]) ).
fof(f1749,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_197
| ~ spl38_220 ),
inference(resolution,[],[f1718,f1565]) ).
fof(f1565,plain,
( ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_197 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f3739,plain,
( spl38_488
| ~ spl38_200
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1748,f1717,f1576,f3737]) ).
fof(f3737,plain,
( spl38_488
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_488])]) ).
fof(f1576,plain,
( spl38_200
<=> ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_200])]) ).
fof(f1748,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_200
| ~ spl38_220 ),
inference(resolution,[],[f1718,f1577]) ).
fof(f1577,plain,
( ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) )
| ~ spl38_200 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f3735,plain,
( spl38_487
| ~ spl38_202
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1747,f1717,f1584,f3733]) ).
fof(f3733,plain,
( spl38_487
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_487])]) ).
fof(f1584,plain,
( spl38_202
<=> ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_202])]) ).
fof(f1747,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_202
| ~ spl38_220 ),
inference(resolution,[],[f1718,f1585]) ).
fof(f1585,plain,
( ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) )
| ~ spl38_202 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f3731,plain,
( spl38_486
| ~ spl38_205
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1746,f1717,f1596,f3729]) ).
fof(f3729,plain,
( spl38_486
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_486])]) ).
fof(f1596,plain,
( spl38_205
<=> ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_205])]) ).
fof(f1746,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_205
| ~ spl38_220 ),
inference(resolution,[],[f1718,f1597]) ).
fof(f1597,plain,
( ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_205 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f3727,plain,
( spl38_485
| ~ spl38_207
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1745,f1717,f1604,f3725]) ).
fof(f3725,plain,
( spl38_485
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_485])]) ).
fof(f1604,plain,
( spl38_207
<=> ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_207])]) ).
fof(f1745,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))),u1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) )
| ~ spl38_207
| ~ spl38_220 ),
inference(resolution,[],[f1718,f1605]) ).
fof(f1605,plain,
( ! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) )
| ~ spl38_207 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f3712,plain,
( ~ spl38_443
| spl38_484
| ~ spl38_111
| ~ spl38_473 ),
inference(avatar_split_clause,[],[f3679,f3647,f1124,f3709,f3464]) ).
fof(f3464,plain,
( spl38_443
<=> l1_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_443])]) ).
fof(f3709,plain,
( spl38_484
<=> v2_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_484])]) ).
fof(f3647,plain,
( spl38_473
<=> v3_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_473])]) ).
fof(f3679,plain,
( v2_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_111
| ~ spl38_473 ),
inference(resolution,[],[f3649,f1125]) ).
fof(f3649,plain,
( v3_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_473 ),
inference(avatar_component_clause,[],[f3647]) ).
fof(f3707,plain,
( spl38_483
| ~ spl38_151
| ~ spl38_253 ),
inference(avatar_split_clause,[],[f1976,f1972,f1298,f3705]) ).
fof(f1976,plain,
( ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_151
| ~ spl38_253 ),
inference(resolution,[],[f1973,f1299]) ).
fof(f3703,plain,
( spl38_482
| ~ spl38_194
| ~ spl38_201 ),
inference(avatar_split_clause,[],[f1673,f1580,f1552,f3701]) ).
fof(f1673,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| v2_yellow_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ spl38_194
| ~ spl38_201 ),
inference(resolution,[],[f1581,f1553]) ).
fof(f3690,plain,
( spl38_481
| ~ spl38_98
| ~ spl38_253 ),
inference(avatar_split_clause,[],[f1977,f1972,f1063,f3688]) ).
fof(f1977,plain,
( ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| ~ v1_yellow_0(k7_lattice3(X0))
| sP0(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_98
| ~ spl38_253 ),
inference(resolution,[],[f1973,f1064]) ).
fof(f3686,plain,
( spl38_480
| ~ spl38_132
| ~ spl38_238 ),
inference(avatar_split_clause,[],[f1886,f1841,f1210,f3684]) ).
fof(f1886,plain,
( ! [X0] :
( sP1(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_132
| ~ spl38_238 ),
inference(resolution,[],[f1842,f1211]) ).
fof(f3676,plain,
( spl38_479
| ~ spl38_89
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1967,f1939,f1015,f3674]) ).
fof(f3674,plain,
( spl38_479
<=> ! [X0] :
( sP7(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v12_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v1_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v1_xboole_0(sK19(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_479])]) ).
fof(f1967,plain,
( ! [X0] :
( sP7(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v12_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v1_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v1_xboole_0(sK19(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl38_89
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1016]) ).
fof(f3672,plain,
( spl38_478
| ~ spl38_244
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1965,f1939,f1866,f3670]) ).
fof(f1965,plain,
( ! [X0] :
( sP7(sK17(X0),X0)
| ~ v12_waybel_0(sK17(X0),X0)
| ~ v1_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_244
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1867]) ).
fof(f3668,plain,
( spl38_477
| ~ spl38_241
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1964,f1939,f1853,f3666]) ).
fof(f3666,plain,
( spl38_477
<=> ! [X0] :
( sP7(sK16(X0),X0)
| ~ v12_waybel_0(sK16(X0),X0)
| ~ v1_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_477])]) ).
fof(f1964,plain,
( ! [X0] :
( sP7(sK16(X0),X0)
| ~ v12_waybel_0(sK16(X0),X0)
| ~ v1_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_241
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1854]) ).
fof(f3664,plain,
( spl38_476
| ~ spl38_89
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1953,f1935,f1015,f3662]) ).
fof(f3662,plain,
( spl38_476
<=> ! [X0] :
( sP5(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v13_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v2_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v1_xboole_0(sK19(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_476])]) ).
fof(f1953,plain,
( ! [X0] :
( sP5(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v13_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v2_waybel_0(sK19(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v1_xboole_0(sK19(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl38_89
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1016]) ).
fof(f3660,plain,
( spl38_475
| ~ spl38_244
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1951,f1935,f1866,f3658]) ).
fof(f3658,plain,
( spl38_475
<=> ! [X0] :
( sP5(sK17(X0),X0)
| ~ v13_waybel_0(sK17(X0),X0)
| ~ v2_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_475])]) ).
fof(f1951,plain,
( ! [X0] :
( sP5(sK17(X0),X0)
| ~ v13_waybel_0(sK17(X0),X0)
| ~ v2_waybel_0(sK17(X0),X0)
| v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_244
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1867]) ).
fof(f3656,plain,
( spl38_474
| ~ spl38_241
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1950,f1935,f1853,f3654]) ).
fof(f1950,plain,
( ! [X0] :
( sP5(sK16(X0),X0)
| ~ v13_waybel_0(sK16(X0),X0)
| ~ v2_waybel_0(sK16(X0),X0)
| v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_241
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1854]) ).
fof(f3650,plain,
( ~ spl38_443
| spl38_291
| spl38_473
| ~ spl38_158
| ~ spl38_349 ),
inference(avatar_split_clause,[],[f2764,f2720,f1338,f3647,f2283,f3464]) ).
fof(f2283,plain,
( spl38_291
<=> v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_291])]) ).
fof(f1338,plain,
( spl38_158
<=> ! [X0] :
( v3_yellow_0(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_158])]) ).
fof(f2720,plain,
( spl38_349
<=> v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_349])]) ).
fof(f2764,plain,
( v3_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_158
| ~ spl38_349 ),
inference(resolution,[],[f2722,f1339]) ).
fof(f1339,plain,
( ! [X0] :
( ~ v3_lattice3(X0)
| v3_yellow_0(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_158 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f2722,plain,
( v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_349 ),
inference(avatar_component_clause,[],[f2720]) ).
fof(f3631,plain,
( spl38_472
| ~ spl38_214
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1970,f1939,f1634,f3629]) ).
fof(f1970,plain,
( ! [X0,X1] :
( sP7(sK22(X0,X1),X1)
| ~ v12_waybel_0(sK22(X0,X1),X1)
| ~ v1_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl38_214
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1635]) ).
fof(f3627,plain,
( spl38_471
| ~ spl38_211
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1969,f1939,f1620,f3625]) ).
fof(f3625,plain,
( spl38_471
<=> ! [X0,X1] :
( sP7(sK21(X0,X1),X1)
| ~ v12_waybel_0(sK21(X0,X1),X1)
| ~ v1_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_471])]) ).
fof(f1969,plain,
( ! [X0,X1] :
( sP7(sK21(X0,X1),X1)
| ~ v12_waybel_0(sK21(X0,X1),X1)
| ~ v1_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl38_211
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1621]) ).
fof(f3623,plain,
( spl38_470
| ~ spl38_139
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1959,f1939,f1250,f3621]) ).
fof(f3621,plain,
( spl38_470
<=> ! [X0] :
( sP7(sK11(u1_struct_0(X0)),X0)
| ~ v12_waybel_0(sK11(u1_struct_0(X0)),X0)
| ~ v1_waybel_0(sK11(u1_struct_0(X0)),X0)
| v1_xboole_0(sK11(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_470])]) ).
fof(f1959,plain,
( ! [X0] :
( sP7(sK11(u1_struct_0(X0)),X0)
| ~ v12_waybel_0(sK11(u1_struct_0(X0)),X0)
| ~ v1_waybel_0(sK11(u1_struct_0(X0)),X0)
| v1_xboole_0(sK11(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl38_139
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1251]) ).
fof(f3619,plain,
( spl38_469
| ~ spl38_214
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1956,f1935,f1634,f3617]) ).
fof(f3617,plain,
( spl38_469
<=> ! [X0,X1] :
( sP5(sK22(X0,X1),X1)
| ~ v13_waybel_0(sK22(X0,X1),X1)
| ~ v2_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_469])]) ).
fof(f1956,plain,
( ! [X0,X1] :
( sP5(sK22(X0,X1),X1)
| ~ v13_waybel_0(sK22(X0,X1),X1)
| ~ v2_waybel_0(sK22(X0,X1),X1)
| v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl38_214
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1635]) ).
fof(f3615,plain,
( spl38_468
| ~ spl38_211
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1955,f1935,f1620,f3613]) ).
fof(f1955,plain,
( ! [X0,X1] :
( sP5(sK21(X0,X1),X1)
| ~ v13_waybel_0(sK21(X0,X1),X1)
| ~ v2_waybel_0(sK21(X0,X1),X1)
| v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) )
| ~ spl38_211
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1621]) ).
fof(f3611,plain,
( spl38_467
| ~ spl38_139
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1945,f1935,f1250,f3609]) ).
fof(f3609,plain,
( spl38_467
<=> ! [X0] :
( sP5(sK11(u1_struct_0(X0)),X0)
| ~ v13_waybel_0(sK11(u1_struct_0(X0)),X0)
| ~ v2_waybel_0(sK11(u1_struct_0(X0)),X0)
| v1_xboole_0(sK11(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_467])]) ).
fof(f1945,plain,
( ! [X0] :
( sP5(sK11(u1_struct_0(X0)),X0)
| ~ v13_waybel_0(sK11(u1_struct_0(X0)),X0)
| ~ v2_waybel_0(sK11(u1_struct_0(X0)),X0)
| v1_xboole_0(sK11(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl38_139
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1251]) ).
fof(f3607,plain,
( spl38_466
| ~ spl38_151
| ~ spl38_245 ),
inference(avatar_split_clause,[],[f1903,f1870,f1298,f3605]) ).
fof(f1903,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_151
| ~ spl38_245 ),
inference(resolution,[],[f1871,f1299]) ).
fof(f3603,plain,
( spl38_465
| ~ spl38_213
| ~ spl38_236 ),
inference(avatar_split_clause,[],[f1836,f1797,f1630,f3601]) ).
fof(f1836,plain,
( ! [X0,X1] :
( a_1_0_waybel_0(X1) = X0
| ~ r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0)
| ~ sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) )
| ~ spl38_213
| ~ spl38_236 ),
inference(resolution,[],[f1798,f1631]) ).
fof(f3599,plain,
( spl38_464
| ~ spl38_210
| ~ spl38_236 ),
inference(avatar_split_clause,[],[f1835,f1797,f1616,f3597]) ).
fof(f1835,plain,
( ! [X0,X1] :
( a_1_1_waybel_0(X1) = X0
| ~ r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0)
| ~ sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) )
| ~ spl38_210
| ~ spl38_236 ),
inference(resolution,[],[f1798,f1617]) ).
fof(f3595,plain,
( ~ spl38_443
| spl38_291
| spl38_463
| ~ spl38_159
| ~ spl38_349 ),
inference(avatar_split_clause,[],[f2763,f2720,f1342,f3592,f2283,f3464]) ).
fof(f3592,plain,
( spl38_463
<=> v1_lattice3(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_463])]) ).
fof(f1342,plain,
( spl38_159
<=> ! [X0] :
( v1_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_159])]) ).
fof(f2763,plain,
( v1_lattice3(k2_yellow_1(a_1_1_waybel_0(sK9)))
| v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_159
| ~ spl38_349 ),
inference(resolution,[],[f2722,f1343]) ).
fof(f1343,plain,
( ! [X0] :
( ~ v3_lattice3(X0)
| v1_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_159 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f3590,plain,
( spl38_462
| ~ spl38_212
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1831,f1793,f1624,f3588]) ).
fof(f1831,plain,
( ! [X0,X1] :
( r2_hidden(sK23(a_1_0_waybel_0(X0),X1),X1)
| a_1_0_waybel_0(X0) = X1
| sP7(sK23(a_1_0_waybel_0(X0),X1),X0)
| ~ sP8(X0,sK23(a_1_0_waybel_0(X0),X1)) )
| ~ spl38_212
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1625]) ).
fof(f3586,plain,
( spl38_461
| ~ spl38_209
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1830,f1793,f1612,f3584]) ).
fof(f1830,plain,
( ! [X0,X1] :
( r2_hidden(sK23(a_1_1_waybel_0(X0),X1),X1)
| a_1_1_waybel_0(X0) = X1
| sP5(sK23(a_1_1_waybel_0(X0),X1),X0)
| ~ sP6(X0,sK23(a_1_1_waybel_0(X0),X1)) )
| ~ spl38_209
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1613]) ).
fof(f3582,plain,
( spl38_460
| ~ spl38_212
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1826,f1793,f1624,f3580]) ).
fof(f1826,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,a_1_0_waybel_0(X1)),X0)
| a_1_0_waybel_0(X1) = X0
| sP7(sK23(X0,a_1_0_waybel_0(X1)),X1)
| ~ sP8(X1,sK23(X0,a_1_0_waybel_0(X1))) )
| ~ spl38_212
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1625]) ).
fof(f3578,plain,
( spl38_459
| ~ spl38_209
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1825,f1793,f1612,f3576]) ).
fof(f1825,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,a_1_1_waybel_0(X1)),X0)
| a_1_1_waybel_0(X1) = X0
| sP5(sK23(X0,a_1_1_waybel_0(X1)),X1)
| ~ sP6(X1,sK23(X0,a_1_1_waybel_0(X1))) )
| ~ spl38_209
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1613]) ).
fof(f3561,plain,
( spl38_458
| ~ spl38_95
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1927,f1919,f1051,f3559]) ).
fof(f1927,plain,
( ! [X0] :
( k7_lattice3(k7_lattice3(X0)) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),k6_relset_1(u1_struct_0(k7_lattice3(X0)),u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0))))
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_249 ),
inference(resolution,[],[f1920,f1052]) ).
fof(f3557,plain,
( spl38_457
| ~ spl38_95
| ~ spl38_246 ),
inference(avatar_split_clause,[],[f1909,f1874,f1051,f3555]) ).
fof(f1909,plain,
( ! [X0] :
( sP4(k7_lattice3(X0))
| ~ v2_yellow_0(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_246 ),
inference(resolution,[],[f1875,f1052]) ).
fof(f3553,plain,
( spl38_456
| ~ spl38_98
| ~ spl38_245 ),
inference(avatar_split_clause,[],[f1904,f1870,f1063,f3551]) ).
fof(f1904,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| ~ v2_lattice3(k7_lattice3(X0))
| sP3(k7_lattice3(X0))
| ~ v4_orders_2(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_98
| ~ spl38_245 ),
inference(resolution,[],[f1871,f1064]) ).
fof(f3543,plain,
( spl38_455
| ~ spl38_198
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1963,f1939,f1568,f3541]) ).
fof(f1963,plain,
( ! [X0] :
( sP7(sK15(X0),X0)
| ~ v12_waybel_0(sK15(X0),X0)
| ~ v1_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_198
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1569]) ).
fof(f3539,plain,
( spl38_454
| ~ spl38_195
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1962,f1939,f1556,f3537]) ).
fof(f3537,plain,
( spl38_454
<=> ! [X0] :
( sP7(sK14(X0),X0)
| ~ v12_waybel_0(sK14(X0),X0)
| ~ v1_waybel_0(sK14(X0),X0)
| v1_xboole_0(sK14(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_454])]) ).
fof(f1962,plain,
( ! [X0] :
( sP7(sK14(X0),X0)
| ~ v12_waybel_0(sK14(X0),X0)
| ~ v1_waybel_0(sK14(X0),X0)
| v1_xboole_0(sK14(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl38_195
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1557]) ).
fof(f3535,plain,
( spl38_453
| ~ spl38_198
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1949,f1935,f1568,f3533]) ).
fof(f1949,plain,
( ! [X0] :
( sP5(sK15(X0),X0)
| ~ v13_waybel_0(sK15(X0),X0)
| ~ v2_waybel_0(sK15(X0),X0)
| v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) )
| ~ spl38_198
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1569]) ).
fof(f3531,plain,
( spl38_452
| ~ spl38_195
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1948,f1935,f1556,f3529]) ).
fof(f3529,plain,
( spl38_452
<=> ! [X0] :
( sP5(sK14(X0),X0)
| ~ v13_waybel_0(sK14(X0),X0)
| ~ v2_waybel_0(sK14(X0),X0)
| v1_xboole_0(sK14(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_452])]) ).
fof(f1948,plain,
( ! [X0] :
( sP5(sK14(X0),X0)
| ~ v13_waybel_0(sK14(X0),X0)
| ~ v2_waybel_0(sK14(X0),X0)
| v1_xboole_0(sK14(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl38_195
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1557]) ).
fof(f3527,plain,
( spl38_451
| ~ spl38_95
| ~ spl38_240 ),
inference(avatar_split_clause,[],[f1888,f1849,f1051,f3525]) ).
fof(f1888,plain,
( ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = k8_waybel_0(k7_lattice3(k7_lattice3(X0)))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_240 ),
inference(resolution,[],[f1850,f1052]) ).
fof(f3523,plain,
( ~ spl38_69
| spl38_443 ),
inference(avatar_contradiction_clause,[],[f3522]) ).
fof(f3522,plain,
( $false
| ~ spl38_69
| spl38_443 ),
inference(resolution,[],[f3466,f936]) ).
fof(f3466,plain,
( ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| spl38_443 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f3505,plain,
( spl38_450
| ~ spl38_69
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1926,f1919,f935,f3503]) ).
fof(f1926,plain,
( ! [X0] : k7_lattice3(k2_yellow_1(X0)) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),k6_relset_1(u1_struct_0(k2_yellow_1(X0)),u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0))))
| ~ spl38_69
| ~ spl38_249 ),
inference(resolution,[],[f1920,f936]) ).
fof(f3501,plain,
( spl38_449
| ~ spl38_69
| ~ spl38_246 ),
inference(avatar_split_clause,[],[f1908,f1874,f935,f3499]) ).
fof(f1908,plain,
( ! [X0] :
( sP4(k2_yellow_1(X0))
| ~ v2_yellow_0(k2_yellow_1(X0))
| ~ v2_lattice3(k2_yellow_1(X0))
| ~ v4_orders_2(k2_yellow_1(X0))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0)) )
| ~ spl38_69
| ~ spl38_246 ),
inference(resolution,[],[f1875,f936]) ).
fof(f3497,plain,
( spl38_448
| ~ spl38_170
| ~ spl38_244 ),
inference(avatar_split_clause,[],[f1900,f1866,f1386,f3495]) ).
fof(f1900,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl38_170
| ~ spl38_244 ),
inference(resolution,[],[f1867,f1387]) ).
fof(f3493,plain,
( spl38_447
| ~ spl38_170
| ~ spl38_241 ),
inference(avatar_split_clause,[],[f1897,f1853,f1386,f3491]) ).
fof(f1897,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK16(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl38_170
| ~ spl38_241 ),
inference(resolution,[],[f1854,f1387]) ).
fof(f3489,plain,
( spl38_446
| ~ spl38_95
| ~ spl38_234 ),
inference(avatar_split_clause,[],[f1815,f1789,f1051,f3487]) ).
fof(f1815,plain,
( ! [X0] :
( k9_waybel_0(k7_lattice3(X0)) = a_1_1_waybel_0(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_234 ),
inference(resolution,[],[f1790,f1052]) ).
fof(f3485,plain,
( spl38_445
| ~ spl38_95
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1807,f1785,f1051,f3483]) ).
fof(f1807,plain,
( ! [X0] :
( k8_waybel_0(k7_lattice3(X0)) = a_1_0_waybel_0(k7_lattice3(X0))
| ~ v3_orders_2(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_95
| ~ spl38_233 ),
inference(resolution,[],[f1786,f1052]) ).
fof(f3471,plain,
( spl38_444
| ~ spl38_168
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1966,f1939,f1378,f3469]) ).
fof(f1966,plain,
( ! [X0] :
( sP7(sK18(X0),X0)
| ~ v12_waybel_0(sK18(X0),X0)
| ~ v1_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) )
| ~ spl38_168
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1379]) ).
fof(f3467,plain,
( spl38_291
| spl38_442
| ~ spl38_443
| ~ spl38_164
| ~ spl38_349 ),
inference(avatar_split_clause,[],[f2761,f2720,f1362,f3464,f3460,f2283]) ).
fof(f3460,plain,
( spl38_442
<=> sP2(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_442])]) ).
fof(f1362,plain,
( spl38_164
<=> ! [X0] :
( sP2(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_164])]) ).
fof(f2761,plain,
( ~ l1_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| sP2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_164
| ~ spl38_349 ),
inference(resolution,[],[f2722,f1363]) ).
fof(f1363,plain,
( ! [X0] :
( ~ v3_lattice3(X0)
| ~ l1_orders_2(X0)
| sP2(X0)
| v3_struct_0(X0) )
| ~ spl38_164 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f3458,plain,
( spl38_441
| ~ spl38_163
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1961,f1939,f1358,f3456]) ).
fof(f3456,plain,
( spl38_441
<=> ! [X0] :
( sP7(sK13(X0),X0)
| ~ v12_waybel_0(sK13(X0),X0)
| ~ v1_waybel_0(sK13(X0),X0)
| v1_xboole_0(sK13(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_441])]) ).
fof(f1961,plain,
( ! [X0] :
( sP7(sK13(X0),X0)
| ~ v12_waybel_0(sK13(X0),X0)
| ~ v1_waybel_0(sK13(X0),X0)
| v1_xboole_0(sK13(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_163
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1359]) ).
fof(f3454,plain,
( spl38_440
| ~ spl38_162
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1960,f1939,f1354,f3452]) ).
fof(f1960,plain,
( ! [X0] :
( sP7(sK12(X0),X0)
| ~ v12_waybel_0(sK12(X0),X0)
| ~ v1_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_162
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1355]) ).
fof(f3450,plain,
( spl38_439
| ~ spl38_168
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1952,f1935,f1378,f3448]) ).
fof(f1952,plain,
( ! [X0] :
( sP5(sK18(X0),X0)
| ~ v13_waybel_0(sK18(X0),X0)
| ~ v2_waybel_0(sK18(X0),X0)
| v1_xboole_0(sK18(X0))
| ~ sP3(X0) )
| ~ spl38_168
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1379]) ).
fof(f3446,plain,
( spl38_438
| ~ spl38_163
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1947,f1935,f1358,f3444]) ).
fof(f3444,plain,
( spl38_438
<=> ! [X0] :
( sP5(sK13(X0),X0)
| ~ v13_waybel_0(sK13(X0),X0)
| ~ v2_waybel_0(sK13(X0),X0)
| v1_xboole_0(sK13(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_438])]) ).
fof(f1947,plain,
( ! [X0] :
( sP5(sK13(X0),X0)
| ~ v13_waybel_0(sK13(X0),X0)
| ~ v2_waybel_0(sK13(X0),X0)
| v1_xboole_0(sK13(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_163
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1359]) ).
fof(f3442,plain,
( spl38_437
| ~ spl38_162
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1946,f1935,f1354,f3440]) ).
fof(f1946,plain,
( ! [X0] :
( sP5(sK12(X0),X0)
| ~ v13_waybel_0(sK12(X0),X0)
| ~ v2_waybel_0(sK12(X0),X0)
| v1_xboole_0(sK12(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_162
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1355]) ).
fof(f3438,plain,
( spl38_436
| ~ spl38_69
| ~ spl38_240 ),
inference(avatar_split_clause,[],[f1887,f1849,f935,f3436]) ).
fof(f1887,plain,
( ! [X0] :
( k9_waybel_0(k2_yellow_1(X0)) = k8_waybel_0(k7_lattice3(k2_yellow_1(X0)))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) )
| ~ spl38_69
| ~ spl38_240 ),
inference(resolution,[],[f1850,f936]) ).
fof(f3405,plain,
( ~ spl38_53
| spl38_54
| ~ spl38_56
| ~ spl38_57
| ~ spl38_58
| spl38_435
| ~ spl38_62
| ~ spl38_65
| ~ spl38_59
| ~ spl38_253 ),
inference(avatar_split_clause,[],[f1980,f1972,f887,f917,f902,f3402,f882,f877,f872,f862,f857]) ).
fof(f3402,plain,
( spl38_435
<=> sP0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_435])]) ).
fof(f917,plain,
( spl38_65
<=> v24_waybel_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_65])]) ).
fof(f1980,plain,
( ~ v24_waybel_0(sK37)
| ~ v1_yellow_0(sK37)
| sP0(sK37)
| ~ v4_orders_2(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| v3_struct_0(sK37)
| ~ l1_orders_2(sK37)
| ~ spl38_59
| ~ spl38_253 ),
inference(resolution,[],[f1973,f889]) ).
fof(f889,plain,
( v1_lattice3(sK37)
| ~ spl38_59 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f3400,plain,
( ~ spl38_44
| spl38_45
| ~ spl38_47
| ~ spl38_48
| ~ spl38_49
| spl38_433
| ~ spl38_434
| ~ spl38_311
| ~ spl38_50
| ~ spl38_253 ),
inference(avatar_split_clause,[],[f1979,f1972,f842,f2403,f3397,f3393,f837,f832,f827,f817,f812]) ).
fof(f3393,plain,
( spl38_433
<=> sP0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_433])]) ).
fof(f2403,plain,
( spl38_311
<=> v24_waybel_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_311])]) ).
fof(f1979,plain,
( ~ v24_waybel_0(sK36)
| ~ v1_yellow_0(sK36)
| sP0(sK36)
| ~ v4_orders_2(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ l1_orders_2(sK36)
| ~ spl38_50
| ~ spl38_253 ),
inference(resolution,[],[f1973,f844]) ).
fof(f844,plain,
( v1_lattice3(sK36)
| ~ spl38_50 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f3381,plain,
( ~ spl38_26
| spl38_27
| ~ spl38_28
| ~ spl38_29
| ~ spl38_30
| spl38_432
| ~ spl38_34
| ~ spl38_309
| ~ spl38_31
| ~ spl38_253 ),
inference(avatar_split_clause,[],[f1978,f1972,f747,f2393,f762,f3378,f742,f737,f732,f727,f722]) ).
fof(f3378,plain,
( spl38_432
<=> sP0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_432])]) ).
fof(f2393,plain,
( spl38_309
<=> v24_waybel_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_309])]) ).
fof(f1978,plain,
( ~ v24_waybel_0(sK34)
| ~ v1_yellow_0(sK34)
| sP0(sK34)
| ~ v4_orders_2(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ l1_orders_2(sK34)
| ~ spl38_31
| ~ spl38_253 ),
inference(resolution,[],[f1973,f749]) ).
fof(f749,plain,
( v1_lattice3(sK34)
| ~ spl38_31 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f3376,plain,
( spl38_431
| ~ spl38_216
| ~ spl38_244 ),
inference(avatar_split_clause,[],[f1898,f1866,f1642,f3374]) ).
fof(f1898,plain,
( ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK17(X0)) )
| ~ spl38_216
| ~ spl38_244 ),
inference(resolution,[],[f1867,f1643]) ).
fof(f3372,plain,
( spl38_430
| ~ spl38_216
| ~ spl38_241 ),
inference(avatar_split_clause,[],[f1895,f1853,f1642,f3370]) ).
fof(f1895,plain,
( ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK16(X0)) )
| ~ spl38_216
| ~ spl38_241 ),
inference(resolution,[],[f1854,f1643]) ).
fof(f3368,plain,
( spl38_429
| ~ spl38_219
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2004,f2000,f1713,f3366]) ).
fof(f3366,plain,
( spl38_429
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_429])]) ).
fof(f2004,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) )
| ~ spl38_219
| ~ spl38_255 ),
inference(superposition,[],[f1714,f2002]) ).
fof(f3364,plain,
( spl38_428
| ~ spl38_69
| ~ spl38_234 ),
inference(avatar_split_clause,[],[f1814,f1789,f935,f3362]) ).
fof(f1814,plain,
( ! [X0] :
( k9_waybel_0(k2_yellow_1(X0)) = a_1_1_waybel_0(k2_yellow_1(X0))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) )
| ~ spl38_69
| ~ spl38_234 ),
inference(resolution,[],[f1790,f936]) ).
fof(f3360,plain,
( spl38_427
| ~ spl38_69
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1806,f1785,f935,f3358]) ).
fof(f1806,plain,
( ! [X0] :
( k8_waybel_0(k2_yellow_1(X0)) = a_1_0_waybel_0(k2_yellow_1(X0))
| ~ v3_orders_2(k2_yellow_1(X0))
| ~ v2_orders_2(k2_yellow_1(X0))
| v3_struct_0(k2_yellow_1(X0)) )
| ~ spl38_69
| ~ spl38_233 ),
inference(resolution,[],[f1786,f936]) ).
fof(f3356,plain,
( spl38_426
| ~ spl38_151
| ~ spl38_194 ),
inference(avatar_split_clause,[],[f1659,f1552,f1298,f3354]) ).
fof(f3354,plain,
( spl38_426
<=> ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| v2_yellow_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_426])]) ).
fof(f1659,plain,
( ! [X0] :
( ~ v24_waybel_0(k7_lattice3(X0))
| v2_yellow_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) )
| ~ spl38_151
| ~ spl38_194 ),
inference(resolution,[],[f1553,f1299]) ).
fof(f3327,plain,
( spl38_425
| ~ spl38_156
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1957,f1939,f1318,f3325]) ).
fof(f1957,plain,
( ! [X0,X1] :
( sP7(X0,X1)
| ~ v12_waybel_0(X0,X1)
| ~ v1_waybel_0(X0,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl38_156
| ~ spl38_252 ),
inference(resolution,[],[f1940,f1319]) ).
fof(f3323,plain,
( spl38_424
| ~ spl38_156
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1943,f1935,f1318,f3321]) ).
fof(f1943,plain,
( ! [X0,X1] :
( sP5(X0,X1)
| ~ v13_waybel_0(X0,X1)
| ~ v2_waybel_0(X0,X1)
| v1_xboole_0(X0)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl38_156
| ~ spl38_251 ),
inference(resolution,[],[f1936,f1319]) ).
fof(f3319,plain,
( spl38_423
| ~ spl38_188
| ~ spl38_244 ),
inference(avatar_split_clause,[],[f1899,f1866,f1517,f3317]) ).
fof(f1899,plain,
( ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK17(X0)) )
| ~ spl38_188
| ~ spl38_244 ),
inference(resolution,[],[f1867,f1518]) ).
fof(f3315,plain,
( spl38_422
| ~ spl38_188
| ~ spl38_241 ),
inference(avatar_split_clause,[],[f1896,f1853,f1517,f3313]) ).
fof(f1896,plain,
( ! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK16(X0)) )
| ~ spl38_188
| ~ spl38_241 ),
inference(resolution,[],[f1854,f1518]) ).
fof(f3311,plain,
( spl38_421
| ~ spl38_94
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1751,f1717,f1047,f3309]) ).
fof(f1047,plain,
( spl38_94
<=> ! [X0] :
( v1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_94])]) ).
fof(f1751,plain,
( ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_94
| ~ spl38_220 ),
inference(resolution,[],[f1718,f1048]) ).
fof(f1048,plain,
( ! [X0] :
( v1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_94 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f3307,plain,
( spl38_420
| ~ spl38_97
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1750,f1717,f1059,f3305]) ).
fof(f3305,plain,
( spl38_420
<=> ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_420])]) ).
fof(f1059,plain,
( spl38_97
<=> ! [X0] :
( v1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_97])]) ).
fof(f1750,plain,
( ! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(k7_lattice3(X0)),u1_orders_2(k7_lattice3(X0)))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_97
| ~ spl38_220 ),
inference(resolution,[],[f1718,f1060]) ).
fof(f1060,plain,
( ! [X0] :
( v1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_97 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f3303,plain,
( spl38_419
| ~ spl38_170
| ~ spl38_215 ),
inference(avatar_split_clause,[],[f1696,f1638,f1386,f3301]) ).
fof(f1638,plain,
( spl38_215
<=> ! [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,[spl38_215])]) ).
fof(f1696,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl38_170
| ~ spl38_215 ),
inference(resolution,[],[f1639,f1387]) ).
fof(f1639,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl38_215 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f3290,plain,
( ~ spl38_418
| spl38_10
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2006,f2000,f642,f3287]) ).
fof(f642,plain,
( spl38_10
<=> k1_yellow_0(k2_yellow_1(k9_waybel_0(sK9)),sK10) = k3_tarski(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_10])]) ).
fof(f2006,plain,
( k3_tarski(sK10) != k1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)),sK10)
| spl38_10
| ~ spl38_255 ),
inference(superposition,[],[f644,f2002]) ).
fof(f644,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK9)),sK10) != k3_tarski(sK10)
| spl38_10 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f3256,plain,
( spl38_417
| ~ spl38_170
| ~ spl38_214 ),
inference(avatar_split_clause,[],[f1693,f1634,f1386,f3254]) ).
fof(f1693,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl38_170
| ~ spl38_214 ),
inference(resolution,[],[f1635,f1387]) ).
fof(f3252,plain,
( spl38_416
| ~ spl38_170
| ~ spl38_211 ),
inference(avatar_split_clause,[],[f1686,f1620,f1386,f3250]) ).
fof(f1686,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl38_170
| ~ spl38_211 ),
inference(resolution,[],[f1621,f1387]) ).
fof(f3248,plain,
( spl38_415
| ~ spl38_170
| ~ spl38_198 ),
inference(avatar_split_clause,[],[f1672,f1568,f1386,f3246]) ).
fof(f1672,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK15(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl38_170
| ~ spl38_198 ),
inference(resolution,[],[f1569,f1387]) ).
fof(f3244,plain,
( spl38_414
| ~ spl38_170
| ~ spl38_195 ),
inference(avatar_split_clause,[],[f1665,f1556,f1386,f3242]) ).
fof(f1665,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK14(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl38_170
| ~ spl38_195 ),
inference(resolution,[],[f1557,f1387]) ).
fof(f3240,plain,
( spl38_413
| ~ spl38_101
| ~ spl38_193 ),
inference(avatar_split_clause,[],[f1654,f1548,f1076,f3238]) ).
fof(f1076,plain,
( spl38_101
<=> ! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_101])]) ).
fof(f1548,plain,
( spl38_193
<=> ! [X0] :
( v25_waybel_0(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_193])]) ).
fof(f1654,plain,
( ! [X0] :
( v25_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_101
| ~ spl38_193 ),
inference(resolution,[],[f1549,f1077]) ).
fof(f1077,plain,
( ! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_101 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1549,plain,
( ! [X0] :
( ~ v3_lattice3(X0)
| v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_193 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f3236,plain,
( spl38_412
| ~ spl38_101
| ~ spl38_190 ),
inference(avatar_split_clause,[],[f1648,f1536,f1076,f3234]) ).
fof(f1536,plain,
( spl38_190
<=> ! [X0] :
( v24_waybel_0(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_190])]) ).
fof(f1648,plain,
( ! [X0] :
( v24_waybel_0(k7_lattice3(X0))
| ~ v2_orders_2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_101
| ~ spl38_190 ),
inference(resolution,[],[f1537,f1077]) ).
fof(f1537,plain,
( ! [X0] :
( ~ v3_lattice3(X0)
| v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_190 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f3232,plain,
( spl38_411
| ~ spl38_129
| ~ spl38_164 ),
inference(avatar_split_clause,[],[f1465,f1362,f1198,f3230]) ).
fof(f1465,plain,
( ! [X0] :
( ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| sP2(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_129
| ~ spl38_164 ),
inference(resolution,[],[f1363,f1199]) ).
fof(f3228,plain,
( spl38_410
| ~ spl38_130
| ~ spl38_161 ),
inference(avatar_split_clause,[],[f1460,f1350,f1202,f3226]) ).
fof(f1460,plain,
( ! [X0] :
( ~ v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_130
| ~ spl38_161 ),
inference(resolution,[],[f1351,f1203]) ).
fof(f3224,plain,
( spl38_409
| ~ spl38_129
| ~ spl38_159 ),
inference(avatar_split_clause,[],[f1443,f1342,f1198,f3222]) ).
fof(f1443,plain,
( ! [X0] :
( v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_129
| ~ spl38_159 ),
inference(resolution,[],[f1343,f1199]) ).
fof(f3220,plain,
( spl38_408
| ~ spl38_129
| ~ spl38_158 ),
inference(avatar_split_clause,[],[f1437,f1338,f1198,f3218]) ).
fof(f1437,plain,
( ! [X0] :
( v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) )
| ~ spl38_129
| ~ spl38_158 ),
inference(resolution,[],[f1339,f1199]) ).
fof(f3127,plain,
( spl38_407
| ~ spl38_53
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1933,f1919,f857,f3124]) ).
fof(f1933,plain,
( k7_lattice3(sK37) = g1_orders_2(u1_struct_0(sK37),k6_relset_1(u1_struct_0(sK37),u1_struct_0(sK37),u1_orders_2(sK37)))
| ~ spl38_53
| ~ spl38_249 ),
inference(resolution,[],[f1920,f859]) ).
fof(f3122,plain,
( spl38_406
| ~ spl38_44
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1932,f1919,f812,f3119]) ).
fof(f1932,plain,
( k7_lattice3(sK36) = g1_orders_2(u1_struct_0(sK36),k6_relset_1(u1_struct_0(sK36),u1_struct_0(sK36),u1_orders_2(sK36)))
| ~ spl38_44
| ~ spl38_249 ),
inference(resolution,[],[f1920,f814]) ).
fof(f3117,plain,
( ~ spl38_405
| ~ spl38_133
| ~ spl38_262 ),
inference(avatar_split_clause,[],[f2068,f2055,f1214,f3114]) ).
fof(f3114,plain,
( spl38_405
<=> r2_hidden(k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_405])]) ).
fof(f2055,plain,
( spl38_262
<=> r2_hidden(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_262])]) ).
fof(f2068,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))),sK10)
| ~ spl38_133
| ~ spl38_262 ),
inference(resolution,[],[f2057,f1215]) ).
fof(f2057,plain,
( r2_hidden(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| ~ spl38_262 ),
inference(avatar_component_clause,[],[f2055]) ).
fof(f3112,plain,
( spl38_404
| ~ spl38_37
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1931,f1919,f777,f3109]) ).
fof(f1931,plain,
( k7_lattice3(sK35) = g1_orders_2(u1_struct_0(sK35),k6_relset_1(u1_struct_0(sK35),u1_struct_0(sK35),u1_orders_2(sK35)))
| ~ spl38_37
| ~ spl38_249 ),
inference(resolution,[],[f1920,f779]) ).
fof(f3107,plain,
( spl38_403
| ~ spl38_26
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1930,f1919,f722,f3104]) ).
fof(f1930,plain,
( k7_lattice3(sK34) = g1_orders_2(u1_struct_0(sK34),k6_relset_1(u1_struct_0(sK34),u1_struct_0(sK34),u1_orders_2(sK34)))
| ~ spl38_26
| ~ spl38_249 ),
inference(resolution,[],[f1920,f724]) ).
fof(f3102,plain,
( spl38_402
| ~ spl38_15
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1929,f1919,f667,f3099]) ).
fof(f1929,plain,
( k7_lattice3(sK29) = g1_orders_2(u1_struct_0(sK29),k6_relset_1(u1_struct_0(sK29),u1_struct_0(sK29),u1_orders_2(sK29)))
| ~ spl38_15
| ~ spl38_249 ),
inference(resolution,[],[f1920,f669]) ).
fof(f3097,plain,
( spl38_401
| ~ spl38_133
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1828,f1793,f1214,f3095]) ).
fof(f3095,plain,
( spl38_401
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK23(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_401])]) ).
fof(f1828,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| ~ r2_hidden(X0,sK23(X0,X1)) )
| ~ spl38_133
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1215]) ).
fof(f3093,plain,
( spl38_400
| ~ spl38_134
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1827,f1793,f1218,f3091]) ).
fof(f1827,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| m1_subset_1(sK23(X0,X1),X0) )
| ~ spl38_134
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1219]) ).
fof(f3089,plain,
( spl38_399
| ~ spl38_133
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1823,f1793,f1214,f3087]) ).
fof(f3087,plain,
( spl38_399
<=> ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK23(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_399])]) ).
fof(f1823,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| X0 = X1
| ~ r2_hidden(X1,sK23(X0,X1)) )
| ~ spl38_133
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1215]) ).
fof(f3085,plain,
( spl38_398
| ~ spl38_134
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1822,f1793,f1218,f3083]) ).
fof(f1822,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| X0 = X1
| m1_subset_1(sK23(X0,X1),X1) )
| ~ spl38_134
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1219]) ).
fof(f3081,plain,
( spl38_397
| ~ spl38_68
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1744,f1717,f931,f3079]) ).
fof(f931,plain,
( spl38_68
<=> ! [X0] : v1_orders_2(k2_yellow_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_68])]) ).
fof(f1744,plain,
( ! [X0] :
( k2_yellow_1(X0) = g1_orders_2(u1_struct_0(k2_yellow_1(X0)),u1_orders_2(k2_yellow_1(X0)))
| ~ l1_orders_2(k2_yellow_1(X0)) )
| ~ spl38_68
| ~ spl38_220 ),
inference(resolution,[],[f1718,f932]) ).
fof(f932,plain,
( ! [X0] : v1_orders_2(k2_yellow_1(X0))
| ~ spl38_68 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f3077,plain,
( spl38_396
| ~ spl38_146
| ~ spl38_161 ),
inference(avatar_split_clause,[],[f1461,f1350,f1278,f3075]) ).
fof(f1461,plain,
( ! [X0] :
( ~ v2_yellow_0(k7_lattice3(X0))
| v3_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) )
| ~ spl38_146
| ~ spl38_161 ),
inference(resolution,[],[f1351,f1279]) ).
fof(f3068,plain,
( spl38_395
| ~ spl38_9
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2007,f2000,f637,f3065]) ).
fof(f637,plain,
( spl38_9
<=> m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_9])]) ).
fof(f2007,plain,
( m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| ~ spl38_9
| ~ spl38_255 ),
inference(superposition,[],[f639,f2002]) ).
fof(f639,plain,
( m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
| ~ spl38_9 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f3035,plain,
( ~ spl38_56
| ~ spl38_57
| ~ spl38_58
| ~ spl38_60
| ~ spl38_63
| spl38_394
| ~ spl38_53
| ~ spl38_246 ),
inference(avatar_split_clause,[],[f1915,f1874,f857,f3032,f907,f892,f882,f877,f872]) ).
fof(f892,plain,
( spl38_60
<=> v2_lattice3(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_60])]) ).
fof(f1915,plain,
( sP4(sK37)
| ~ v2_yellow_0(sK37)
| ~ v2_lattice3(sK37)
| ~ v4_orders_2(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| ~ spl38_53
| ~ spl38_246 ),
inference(resolution,[],[f1875,f859]) ).
fof(f3027,plain,
( ~ spl38_47
| ~ spl38_48
| ~ spl38_49
| ~ spl38_51
| ~ spl38_392
| spl38_393
| ~ spl38_44
| ~ spl38_246 ),
inference(avatar_split_clause,[],[f1914,f1874,f812,f3024,f3020,f847,f837,f832,f827]) ).
fof(f847,plain,
( spl38_51
<=> v2_lattice3(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_51])]) ).
fof(f1914,plain,
( sP4(sK36)
| ~ v2_yellow_0(sK36)
| ~ v2_lattice3(sK36)
| ~ v4_orders_2(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| ~ spl38_44
| ~ spl38_246 ),
inference(resolution,[],[f1875,f814]) ).
fof(f3018,plain,
( ~ spl38_40
| ~ spl38_41
| ~ spl38_42
| ~ spl38_288
| ~ spl38_390
| spl38_391
| ~ spl38_37
| ~ spl38_246 ),
inference(avatar_split_clause,[],[f1913,f1874,f777,f3015,f3011,f2268,f802,f797,f792]) ).
fof(f1913,plain,
( sP4(sK35)
| ~ v2_yellow_0(sK35)
| ~ v2_lattice3(sK35)
| ~ v4_orders_2(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| ~ spl38_37
| ~ spl38_246 ),
inference(resolution,[],[f1875,f779]) ).
fof(f3009,plain,
( ~ spl38_28
| ~ spl38_29
| ~ spl38_30
| ~ spl38_32
| ~ spl38_35
| spl38_389
| ~ spl38_26
| ~ spl38_246 ),
inference(avatar_split_clause,[],[f1912,f1874,f722,f3006,f767,f752,f742,f737,f732]) ).
fof(f752,plain,
( spl38_32
<=> v2_lattice3(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_32])]) ).
fof(f1912,plain,
( sP4(sK34)
| ~ v2_yellow_0(sK34)
| ~ v2_lattice3(sK34)
| ~ v4_orders_2(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| ~ spl38_26
| ~ spl38_246 ),
inference(resolution,[],[f1875,f724]) ).
fof(f3004,plain,
( ~ spl38_56
| ~ spl38_57
| ~ spl38_58
| spl38_388
| ~ spl38_60
| ~ spl38_53
| ~ spl38_59
| ~ spl38_245 ),
inference(avatar_split_clause,[],[f1907,f1870,f887,f857,f892,f3001,f882,f877,f872]) ).
fof(f3001,plain,
( spl38_388
<=> sP3(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_388])]) ).
fof(f1907,plain,
( ~ l1_orders_2(sK37)
| ~ v2_lattice3(sK37)
| sP3(sK37)
| ~ v4_orders_2(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| ~ spl38_59
| ~ spl38_245 ),
inference(resolution,[],[f1871,f889]) ).
fof(f2999,plain,
( ~ spl38_259
| spl38_387
| ~ spl38_132
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2017,f2000,f1210,f2996,f2037]) ).
fof(f2037,plain,
( spl38_259
<=> sP4(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_259])]) ).
fof(f2996,plain,
( spl38_387
<=> v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_387])]) ).
fof(f2017,plain,
( v25_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_132
| ~ spl38_255 ),
inference(superposition,[],[f1211,f2002]) ).
fof(f2994,plain,
( ~ spl38_47
| ~ spl38_48
| ~ spl38_49
| spl38_386
| ~ spl38_51
| ~ spl38_44
| ~ spl38_50
| ~ spl38_245 ),
inference(avatar_split_clause,[],[f1906,f1870,f842,f812,f847,f2991,f837,f832,f827]) ).
fof(f2991,plain,
( spl38_386
<=> sP3(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_386])]) ).
fof(f1906,plain,
( ~ l1_orders_2(sK36)
| ~ v2_lattice3(sK36)
| sP3(sK36)
| ~ v4_orders_2(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| ~ spl38_50
| ~ spl38_245 ),
inference(resolution,[],[f1871,f844]) ).
fof(f2989,plain,
( ~ spl38_28
| ~ spl38_29
| ~ spl38_30
| spl38_385
| ~ spl38_32
| ~ spl38_26
| ~ spl38_31
| ~ spl38_245 ),
inference(avatar_split_clause,[],[f1905,f1870,f747,f722,f752,f2986,f742,f737,f732]) ).
fof(f2986,plain,
( spl38_385
<=> sP3(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_385])]) ).
fof(f1905,plain,
( ~ l1_orders_2(sK34)
| ~ v2_lattice3(sK34)
| sP3(sK34)
| ~ v4_orders_2(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| ~ spl38_31
| ~ spl38_245 ),
inference(resolution,[],[f1871,f749]) ).
fof(f2983,plain,
( spl38_384
| ~ spl38_365
| ~ spl38_383 ),
inference(avatar_split_clause,[],[f2978,f2974,f2834,f2980]) ).
fof(f2974,plain,
( spl38_383
<=> k9_waybel_0(sK37) = k8_waybel_0(k7_lattice3(sK37)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_383])]) ).
fof(f2978,plain,
( a_1_1_waybel_0(sK37) = k8_waybel_0(k7_lattice3(sK37))
| ~ spl38_365
| ~ spl38_383 ),
inference(forward_demodulation,[],[f2976,f2836]) ).
fof(f2976,plain,
( k9_waybel_0(sK37) = k8_waybel_0(k7_lattice3(sK37))
| ~ spl38_383 ),
inference(avatar_component_clause,[],[f2974]) ).
fof(f2977,plain,
( spl38_54
| ~ spl38_56
| ~ spl38_57
| spl38_383
| ~ spl38_53
| ~ spl38_240 ),
inference(avatar_split_clause,[],[f1894,f1849,f857,f2974,f877,f872,f862]) ).
fof(f1894,plain,
( k9_waybel_0(sK37) = k8_waybel_0(k7_lattice3(sK37))
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| v3_struct_0(sK37)
| ~ spl38_53
| ~ spl38_240 ),
inference(resolution,[],[f1850,f859]) ).
fof(f2971,plain,
( spl38_382
| ~ spl38_364
| ~ spl38_381 ),
inference(avatar_split_clause,[],[f2966,f2962,f2819,f2968]) ).
fof(f2962,plain,
( spl38_381
<=> k9_waybel_0(sK36) = k8_waybel_0(k7_lattice3(sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_381])]) ).
fof(f2966,plain,
( a_1_1_waybel_0(sK36) = k8_waybel_0(k7_lattice3(sK36))
| ~ spl38_364
| ~ spl38_381 ),
inference(forward_demodulation,[],[f2964,f2821]) ).
fof(f2964,plain,
( k9_waybel_0(sK36) = k8_waybel_0(k7_lattice3(sK36))
| ~ spl38_381 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f2965,plain,
( spl38_45
| ~ spl38_47
| ~ spl38_48
| spl38_381
| ~ spl38_44
| ~ spl38_240 ),
inference(avatar_split_clause,[],[f1893,f1849,f812,f2962,f832,f827,f817]) ).
fof(f1893,plain,
( k9_waybel_0(sK36) = k8_waybel_0(k7_lattice3(sK36))
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ spl38_44
| ~ spl38_240 ),
inference(resolution,[],[f1850,f814]) ).
fof(f2959,plain,
( spl38_380
| ~ spl38_362
| ~ spl38_379 ),
inference(avatar_split_clause,[],[f2954,f2950,f2799,f2956]) ).
fof(f2950,plain,
( spl38_379
<=> k9_waybel_0(sK35) = k8_waybel_0(k7_lattice3(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_379])]) ).
fof(f2954,plain,
( a_1_1_waybel_0(sK35) = k8_waybel_0(k7_lattice3(sK35))
| ~ spl38_362
| ~ spl38_379 ),
inference(forward_demodulation,[],[f2952,f2801]) ).
fof(f2952,plain,
( k9_waybel_0(sK35) = k8_waybel_0(k7_lattice3(sK35))
| ~ spl38_379 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f2953,plain,
( spl38_38
| ~ spl38_40
| ~ spl38_41
| spl38_379
| ~ spl38_37
| ~ spl38_240 ),
inference(avatar_split_clause,[],[f1892,f1849,f777,f2950,f797,f792,f782]) ).
fof(f1892,plain,
( k9_waybel_0(sK35) = k8_waybel_0(k7_lattice3(sK35))
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ spl38_37
| ~ spl38_240 ),
inference(resolution,[],[f1850,f779]) ).
fof(f2947,plain,
( spl38_378
| ~ spl38_361
| ~ spl38_377 ),
inference(avatar_split_clause,[],[f2942,f2938,f2784,f2944]) ).
fof(f2938,plain,
( spl38_377
<=> k9_waybel_0(sK34) = k8_waybel_0(k7_lattice3(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_377])]) ).
fof(f2942,plain,
( a_1_1_waybel_0(sK34) = k8_waybel_0(k7_lattice3(sK34))
| ~ spl38_361
| ~ spl38_377 ),
inference(forward_demodulation,[],[f2940,f2786]) ).
fof(f2940,plain,
( k9_waybel_0(sK34) = k8_waybel_0(k7_lattice3(sK34))
| ~ spl38_377 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f2941,plain,
( spl38_27
| ~ spl38_28
| ~ spl38_29
| spl38_377
| ~ spl38_26
| ~ spl38_240 ),
inference(avatar_split_clause,[],[f1891,f1849,f722,f2938,f737,f732,f727]) ).
fof(f1891,plain,
( k9_waybel_0(sK34) = k8_waybel_0(k7_lattice3(sK34))
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ spl38_26
| ~ spl38_240 ),
inference(resolution,[],[f1850,f724]) ).
fof(f2931,plain,
( ~ spl38_53
| spl38_54
| ~ spl38_56
| ~ spl38_58
| ~ spl38_63
| spl38_376
| ~ spl38_66
| ~ spl38_238 ),
inference(avatar_split_clause,[],[f1885,f1841,f922,f2928,f907,f882,f872,f862,f857]) ).
fof(f2928,plain,
( spl38_376
<=> sP1(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_376])]) ).
fof(f922,plain,
( spl38_66
<=> v25_waybel_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_66])]) ).
fof(f1885,plain,
( sP1(sK37)
| ~ v2_yellow_0(sK37)
| ~ v4_orders_2(sK37)
| ~ v2_orders_2(sK37)
| v3_struct_0(sK37)
| ~ l1_orders_2(sK37)
| ~ spl38_66
| ~ spl38_238 ),
inference(resolution,[],[f1842,f924]) ).
fof(f924,plain,
( v25_waybel_0(sK37)
| ~ spl38_66 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f2926,plain,
( spl38_375
| ~ spl38_214
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1709,f1642,f1634,f2924]) ).
fof(f1709,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK22(X2,X1))
| ~ sP7(X2,X1) )
| ~ spl38_214
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1635]) ).
fof(f2922,plain,
( spl38_374
| ~ spl38_211
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1708,f1642,f1620,f2920]) ).
fof(f1708,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK21(X2,X1))
| ~ sP5(X2,X1) )
| ~ spl38_211
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1621]) ).
fof(f2918,plain,
( spl38_373
| ~ spl38_198
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1704,f1642,f1568,f2916]) ).
fof(f1704,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK15(X1))
| ~ l1_orders_2(X1)
| v3_struct_0(X1) )
| ~ spl38_198
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1569]) ).
fof(f2914,plain,
( ~ spl38_259
| spl38_372
| ~ spl38_131
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2016,f2000,f1206,f2911,f2037]) ).
fof(f2911,plain,
( spl38_372
<=> v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_372])]) ).
fof(f2016,plain,
( v24_waybel_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_131
| ~ spl38_255 ),
inference(superposition,[],[f1207,f2002]) ).
fof(f2909,plain,
( spl38_371
| ~ spl38_195
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1703,f1642,f1556,f2907]) ).
fof(f1703,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK14(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl38_195
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1557]) ).
fof(f2905,plain,
( spl38_370
| ~ spl38_215
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1698,f1642,f1638,f2903]) ).
fof(f1698,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl38_215
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1639]) ).
fof(f2901,plain,
( spl38_369
| ~ spl38_168
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1484,f1386,f1378,f2899]) ).
fof(f1484,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0) )
| ~ spl38_168
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1379]) ).
fof(f2897,plain,
( spl38_368
| ~ spl38_163
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1483,f1386,f1358,f2895]) ).
fof(f1483,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_163
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1359]) ).
fof(f2893,plain,
( spl38_367
| ~ spl38_162
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1482,f1386,f1354,f2891]) ).
fof(f1482,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) )
| ~ spl38_162
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1355]) ).
fof(f2851,plain,
( spl38_366
| ~ spl38_135
| ~ spl38_225
| ~ spl38_237 ),
inference(avatar_split_clause,[],[f1839,f1803,f1737,f1222,f2849]) ).
fof(f1222,plain,
( spl38_135
<=> ! [X0,X1] : m1_relset_1(sK24(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_135])]) ).
fof(f1839,plain,
( ! [X0,X1] : sK24(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK24(X0,X1)))
| ~ spl38_135
| ~ spl38_225
| ~ spl38_237 ),
inference(forward_demodulation,[],[f1838,f1756]) ).
fof(f1756,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK24(X0,X1)) = k4_relat_1(sK24(X0,X1))
| ~ spl38_135
| ~ spl38_225 ),
inference(resolution,[],[f1738,f1223]) ).
fof(f1223,plain,
( ! [X0,X1] : m1_relset_1(sK24(X0,X1),X0,X1)
| ~ spl38_135 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1838,plain,
( ! [X0,X1] : sK24(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK24(X0,X1)))
| ~ spl38_135
| ~ spl38_237 ),
inference(resolution,[],[f1804,f1223]) ).
fof(f2837,plain,
( spl38_54
| ~ spl38_56
| ~ spl38_57
| spl38_365
| ~ spl38_53
| ~ spl38_234 ),
inference(avatar_split_clause,[],[f1821,f1789,f857,f2834,f877,f872,f862]) ).
fof(f1821,plain,
( k9_waybel_0(sK37) = a_1_1_waybel_0(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| v3_struct_0(sK37)
| ~ spl38_53
| ~ spl38_234 ),
inference(resolution,[],[f1790,f859]) ).
fof(f2822,plain,
( spl38_45
| ~ spl38_47
| ~ spl38_48
| spl38_364
| ~ spl38_44
| ~ spl38_234 ),
inference(avatar_split_clause,[],[f1820,f1789,f812,f2819,f832,f827,f817]) ).
fof(f1820,plain,
( k9_waybel_0(sK36) = a_1_1_waybel_0(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ spl38_44
| ~ spl38_234 ),
inference(resolution,[],[f1790,f814]) ).
fof(f2817,plain,
( ~ spl38_259
| spl38_363
| ~ spl38_130
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2015,f2000,f1202,f2814,f2037]) ).
fof(f2814,plain,
( spl38_363
<=> v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_363])]) ).
fof(f2015,plain,
( v1_yellow_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_130
| ~ spl38_255 ),
inference(superposition,[],[f1203,f2002]) ).
fof(f2802,plain,
( spl38_38
| ~ spl38_40
| ~ spl38_41
| spl38_362
| ~ spl38_37
| ~ spl38_234 ),
inference(avatar_split_clause,[],[f1819,f1789,f777,f2799,f797,f792,f782]) ).
fof(f1819,plain,
( k9_waybel_0(sK35) = a_1_1_waybel_0(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ spl38_37
| ~ spl38_234 ),
inference(resolution,[],[f1790,f779]) ).
fof(f2787,plain,
( spl38_27
| ~ spl38_28
| ~ spl38_29
| spl38_361
| ~ spl38_26
| ~ spl38_234 ),
inference(avatar_split_clause,[],[f1818,f1789,f722,f2784,f737,f732,f727]) ).
fof(f1818,plain,
( k9_waybel_0(sK34) = a_1_1_waybel_0(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ spl38_26
| ~ spl38_234 ),
inference(resolution,[],[f1790,f724]) ).
fof(f2781,plain,
( spl38_54
| ~ spl38_56
| ~ spl38_57
| spl38_360
| ~ spl38_53
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1813,f1785,f857,f2778,f877,f872,f862]) ).
fof(f1813,plain,
( k8_waybel_0(sK37) = a_1_0_waybel_0(sK37)
| ~ v3_orders_2(sK37)
| ~ v2_orders_2(sK37)
| v3_struct_0(sK37)
| ~ spl38_53
| ~ spl38_233 ),
inference(resolution,[],[f1786,f859]) ).
fof(f2775,plain,
( spl38_45
| ~ spl38_47
| ~ spl38_48
| spl38_359
| ~ spl38_44
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1812,f1785,f812,f2772,f832,f827,f817]) ).
fof(f1812,plain,
( k8_waybel_0(sK36) = a_1_0_waybel_0(sK36)
| ~ v3_orders_2(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ spl38_44
| ~ spl38_233 ),
inference(resolution,[],[f1786,f814]) ).
fof(f2769,plain,
( spl38_38
| ~ spl38_40
| ~ spl38_41
| spl38_358
| ~ spl38_37
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1811,f1785,f777,f2766,f797,f792,f782]) ).
fof(f1811,plain,
( k8_waybel_0(sK35) = a_1_0_waybel_0(sK35)
| ~ v3_orders_2(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ spl38_37
| ~ spl38_233 ),
inference(resolution,[],[f1786,f779]) ).
fof(f2757,plain,
( spl38_27
| ~ spl38_28
| ~ spl38_29
| spl38_357
| ~ spl38_26
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1810,f1785,f722,f2754,f737,f732,f727]) ).
fof(f1810,plain,
( k8_waybel_0(sK34) = a_1_0_waybel_0(sK34)
| ~ v3_orders_2(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ spl38_26
| ~ spl38_233 ),
inference(resolution,[],[f1786,f724]) ).
fof(f2752,plain,
( spl38_353
| ~ spl38_354
| ~ spl38_355
| spl38_356
| ~ spl38_15
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1809,f1785,f667,f2749,f2745,f2741,f2737]) ).
fof(f2737,plain,
( spl38_353
<=> v3_struct_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_353])]) ).
fof(f2741,plain,
( spl38_354
<=> v2_orders_2(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_354])]) ).
fof(f2745,plain,
( spl38_355
<=> v3_orders_2(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_355])]) ).
fof(f2749,plain,
( spl38_356
<=> k8_waybel_0(sK29) = a_1_0_waybel_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_356])]) ).
fof(f1809,plain,
( k8_waybel_0(sK29) = a_1_0_waybel_0(sK29)
| ~ v3_orders_2(sK29)
| ~ v2_orders_2(sK29)
| v3_struct_0(sK29)
| ~ spl38_15
| ~ spl38_233 ),
inference(resolution,[],[f1786,f669]) ).
fof(f2735,plain,
( spl38_352
| ~ spl38_181
| ~ spl38_226 ),
inference(avatar_split_clause,[],[f1757,f1741,f1430,f2733]) ).
fof(f1757,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1) )
| ~ spl38_181
| ~ spl38_226 ),
inference(resolution,[],[f1742,f1431]) ).
fof(f2731,plain,
( spl38_351
| ~ spl38_135
| ~ spl38_225 ),
inference(avatar_split_clause,[],[f1756,f1737,f1222,f2729]) ).
fof(f2727,plain,
( spl38_350
| ~ spl38_188
| ~ spl38_215 ),
inference(avatar_split_clause,[],[f1695,f1638,f1517,f2725]) ).
fof(f1695,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl38_188
| ~ spl38_215 ),
inference(resolution,[],[f1639,f1518]) ).
fof(f2723,plain,
( ~ spl38_259
| spl38_349
| ~ spl38_129
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2014,f2000,f1198,f2720,f2037]) ).
fof(f2014,plain,
( v3_lattice3(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_129
| ~ spl38_255 ),
inference(superposition,[],[f1199,f2002]) ).
fof(f2718,plain,
( spl38_348
| ~ spl38_188
| ~ spl38_214 ),
inference(avatar_split_clause,[],[f1692,f1634,f1517,f2716]) ).
fof(f1692,plain,
( ! [X2,X0,X1] :
( ~ sP7(X0,X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,sK22(X0,X1)) )
| ~ spl38_188
| ~ spl38_214 ),
inference(resolution,[],[f1635,f1518]) ).
fof(f2714,plain,
( spl38_347
| ~ spl38_188
| ~ spl38_211 ),
inference(avatar_split_clause,[],[f1685,f1620,f1517,f2712]) ).
fof(f1685,plain,
( ! [X2,X0,X1] :
( ~ sP5(X0,X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ r2_hidden(X2,sK21(X0,X1)) )
| ~ spl38_188
| ~ spl38_211 ),
inference(resolution,[],[f1621,f1518]) ).
fof(f2710,plain,
( spl38_346
| ~ spl38_188
| ~ spl38_198 ),
inference(avatar_split_clause,[],[f1671,f1568,f1517,f2708]) ).
fof(f1671,plain,
( ! [X0,X1] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK15(X0)) )
| ~ spl38_188
| ~ spl38_198 ),
inference(resolution,[],[f1569,f1518]) ).
fof(f2706,plain,
( spl38_345
| ~ spl38_169
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1479,f1386,f1382,f2704]) ).
fof(f1382,plain,
( spl38_169
<=> ! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_169])]) ).
fof(f1479,plain,
( ! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_169
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1383]) ).
fof(f1383,plain,
( ! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_169 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f2702,plain,
( spl38_344
| ~ spl38_92
| ~ spl38_167 ),
inference(avatar_split_clause,[],[f1471,f1374,f1039,f2700]) ).
fof(f1471,plain,
( ! [X0] :
( ~ v1_funct_1(k4_relat_1(X0))
| ~ v1_xboole_0(k4_relat_1(X0))
| v2_funct_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) )
| ~ spl38_92
| ~ spl38_167 ),
inference(resolution,[],[f1375,f1040]) ).
fof(f2698,plain,
( spl38_343
| ~ spl38_101
| ~ spl38_164 ),
inference(avatar_split_clause,[],[f1466,f1362,f1076,f2696]) ).
fof(f1466,plain,
( ! [X0] :
( ~ l1_orders_2(k7_lattice3(X0))
| sP2(k7_lattice3(X0))
| v3_struct_0(k7_lattice3(X0))
| ~ sP2(X0) )
| ~ spl38_101
| ~ spl38_164 ),
inference(resolution,[],[f1363,f1077]) ).
fof(f2636,plain,
( spl38_342
| ~ spl38_107
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1829,f1793,f1100,f2634]) ).
fof(f1100,plain,
( spl38_107
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_107])]) ).
fof(f1829,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl38_107
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1101]) ).
fof(f1101,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) )
| ~ spl38_107 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f2632,plain,
( spl38_341
| ~ spl38_107
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f1824,f1793,f1100,f2630]) ).
fof(f1824,plain,
( ! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| X0 = X1
| ~ v1_xboole_0(X1) )
| ~ spl38_107
| ~ spl38_235 ),
inference(resolution,[],[f1794,f1101]) ).
fof(f2628,plain,
( spl38_340
| ~ spl38_168
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1705,f1642,f1378,f2626]) ).
fof(f1705,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK18(X1))
| ~ sP3(X1) )
| ~ spl38_168
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1379]) ).
fof(f2624,plain,
( ~ spl38_259
| spl38_339
| ~ spl38_128
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2013,f2000,f1194,f2621,f2037]) ).
fof(f2621,plain,
( spl38_339
<=> v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_339])]) ).
fof(f2013,plain,
( v2_lattice3(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_128
| ~ spl38_255 ),
inference(superposition,[],[f1195,f2002]) ).
fof(f2619,plain,
( spl38_338
| ~ spl38_163
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1702,f1642,f1358,f2617]) ).
fof(f1702,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK13(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_163
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1359]) ).
fof(f2615,plain,
( spl38_337
| ~ spl38_162
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1701,f1642,f1354,f2613]) ).
fof(f1701,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK12(X1))
| ~ l1_orders_2(X1) )
| ~ spl38_162
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1355]) ).
fof(f2611,plain,
( spl38_336
| ~ spl38_133
| ~ spl38_213 ),
inference(avatar_split_clause,[],[f1689,f1630,f1214,f2609]) ).
fof(f1689,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ sP8(X1,X0)
| ~ r2_hidden(a_1_0_waybel_0(X1),X0) )
| ~ spl38_133
| ~ spl38_213 ),
inference(resolution,[],[f1631,f1215]) ).
fof(f2607,plain,
( spl38_335
| ~ spl38_134
| ~ spl38_213 ),
inference(avatar_split_clause,[],[f1688,f1630,f1218,f2605]) ).
fof(f2605,plain,
( spl38_335
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ sP8(X1,X0)
| m1_subset_1(X0,a_1_0_waybel_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_335])]) ).
fof(f1688,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ sP8(X1,X0)
| m1_subset_1(X0,a_1_0_waybel_0(X1)) )
| ~ spl38_134
| ~ spl38_213 ),
inference(resolution,[],[f1631,f1219]) ).
fof(f2603,plain,
( spl38_334
| ~ spl38_133
| ~ spl38_210 ),
inference(avatar_split_clause,[],[f1682,f1616,f1214,f2601]) ).
fof(f1682,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ sP6(X1,X0)
| ~ r2_hidden(a_1_1_waybel_0(X1),X0) )
| ~ spl38_133
| ~ spl38_210 ),
inference(resolution,[],[f1617,f1215]) ).
fof(f2599,plain,
( spl38_333
| ~ spl38_134
| ~ spl38_210 ),
inference(avatar_split_clause,[],[f1681,f1616,f1218,f2597]) ).
fof(f2597,plain,
( spl38_333
<=> ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ sP6(X1,X0)
| m1_subset_1(X0,a_1_1_waybel_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_333])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ sP6(X1,X0)
| m1_subset_1(X0,a_1_1_waybel_0(X1)) )
| ~ spl38_134
| ~ spl38_210 ),
inference(resolution,[],[f1617,f1219]) ).
fof(f2595,plain,
( spl38_332
| ~ spl38_139
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1481,f1386,f1250,f2593]) ).
fof(f1481,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK11(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl38_139
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1251]) ).
fof(f2591,plain,
( spl38_331
| ~ spl38_156
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1478,f1386,f1318,f2589]) ).
fof(f1478,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl38_156
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1319]) ).
fof(f2539,plain,
( ~ spl38_53
| spl38_330
| ~ spl38_55
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1754,f1717,f867,f2536,f857]) ).
fof(f867,plain,
( spl38_55
<=> v1_orders_2(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_55])]) ).
fof(f1754,plain,
( sK37 = g1_orders_2(u1_struct_0(sK37),u1_orders_2(sK37))
| ~ l1_orders_2(sK37)
| ~ spl38_55
| ~ spl38_220 ),
inference(resolution,[],[f1718,f869]) ).
fof(f869,plain,
( v1_orders_2(sK37)
| ~ spl38_55 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f2534,plain,
( ~ spl38_259
| spl38_329
| ~ spl38_126
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2012,f2000,f1185,f2531,f2037]) ).
fof(f2531,plain,
( spl38_329
<=> v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_329])]) ).
fof(f2012,plain,
( v4_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_126
| ~ spl38_255 ),
inference(superposition,[],[f1186,f2002]) ).
fof(f2511,plain,
( ~ spl38_44
| spl38_328
| ~ spl38_46
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1753,f1717,f822,f2508,f812]) ).
fof(f822,plain,
( spl38_46
<=> v1_orders_2(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_46])]) ).
fof(f1753,plain,
( sK36 = g1_orders_2(u1_struct_0(sK36),u1_orders_2(sK36))
| ~ l1_orders_2(sK36)
| ~ spl38_46
| ~ spl38_220 ),
inference(resolution,[],[f1718,f824]) ).
fof(f824,plain,
( v1_orders_2(sK36)
| ~ spl38_46 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f2488,plain,
( ~ spl38_37
| spl38_327
| ~ spl38_39
| ~ spl38_220 ),
inference(avatar_split_clause,[],[f1752,f1717,f787,f2485,f777]) ).
fof(f787,plain,
( spl38_39
<=> v1_orders_2(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_39])]) ).
fof(f1752,plain,
( sK35 = g1_orders_2(u1_struct_0(sK35),u1_orders_2(sK35))
| ~ l1_orders_2(sK35)
| ~ spl38_39
| ~ spl38_220 ),
inference(resolution,[],[f1718,f789]) ).
fof(f789,plain,
( v1_orders_2(sK35)
| ~ spl38_39 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f2483,plain,
( spl38_326
| ~ spl38_139
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1700,f1642,f1250,f2481]) ).
fof(f1700,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK11(X1))
| v1_xboole_0(X1) )
| ~ spl38_139
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1251]) ).
fof(f2479,plain,
( spl38_325
| ~ spl38_156
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1697,f1642,f1318,f2477]) ).
fof(f2477,plain,
( spl38_325
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_325])]) ).
fof(f1697,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl38_156
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1319]) ).
fof(f2475,plain,
( spl38_324
| ~ spl38_107
| ~ spl38_213 ),
inference(avatar_split_clause,[],[f1690,f1630,f1100,f2473]) ).
fof(f1690,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| ~ sP8(X1,X0)
| ~ v1_xboole_0(a_1_0_waybel_0(X1)) )
| ~ spl38_107
| ~ spl38_213 ),
inference(resolution,[],[f1631,f1101]) ).
fof(f2471,plain,
( spl38_323
| ~ spl38_107
| ~ spl38_210 ),
inference(avatar_split_clause,[],[f1683,f1616,f1100,f2469]) ).
fof(f1683,plain,
( ! [X0,X1] :
( ~ sP5(X0,X1)
| ~ sP6(X1,X0)
| ~ v1_xboole_0(a_1_1_waybel_0(X1)) )
| ~ spl38_107
| ~ spl38_210 ),
inference(resolution,[],[f1617,f1101]) ).
fof(f2467,plain,
( spl38_322
| ~ spl38_168
| ~ spl38_188 ),
inference(avatar_split_clause,[],[f1526,f1517,f1378,f2465]) ).
fof(f1526,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK18(X0))
| ~ sP3(X0) )
| ~ spl38_168
| ~ spl38_188 ),
inference(resolution,[],[f1518,f1379]) ).
fof(f2463,plain,
( spl38_321
| ~ spl38_163
| ~ spl38_188 ),
inference(avatar_split_clause,[],[f1525,f1517,f1358,f2461]) ).
fof(f1525,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK13(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_163
| ~ spl38_188 ),
inference(resolution,[],[f1518,f1359]) ).
fof(f2459,plain,
( spl38_320
| ~ spl38_162
| ~ spl38_188 ),
inference(avatar_split_clause,[],[f1524,f1517,f1354,f2457]) ).
fof(f1524,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK12(X0))
| ~ l1_orders_2(X0) )
| ~ spl38_162
| ~ spl38_188 ),
inference(resolution,[],[f1518,f1355]) ).
fof(f2455,plain,
( spl38_319
| ~ spl38_181
| ~ spl38_186 ),
inference(avatar_split_clause,[],[f1520,f1509,f1430,f2453]) ).
fof(f1520,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ spl38_181
| ~ spl38_186 ),
inference(resolution,[],[f1510,f1431]) ).
fof(f2451,plain,
( spl38_318
| ~ spl38_139
| ~ spl38_180 ),
inference(avatar_split_clause,[],[f1496,f1426,f1250,f2449]) ).
fof(f1496,plain,
( ! [X0,X1] :
( v1_relat_1(sK11(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl38_139
| ~ spl38_180 ),
inference(resolution,[],[f1427,f1251]) ).
fof(f2447,plain,
( spl38_317
| ~ spl38_92
| ~ spl38_140 ),
inference(avatar_split_clause,[],[f1325,f1254,f1039,f2445]) ).
fof(f1325,plain,
( ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_relat_1(X0) )
| ~ spl38_92
| ~ spl38_140 ),
inference(resolution,[],[f1255,f1040]) ).
fof(f2439,plain,
( spl38_316
| ~ spl38_89
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1706,f1642,f1015,f2437]) ).
fof(f1706,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK19(k1_zfmisc_1(X1))) )
| ~ spl38_89
| ~ spl38_216 ),
inference(resolution,[],[f1643,f1016]) ).
fof(f2432,plain,
( ~ spl38_44
| spl38_45
| ~ spl38_47
| spl38_315
| ~ spl38_52
| ~ spl38_193 ),
inference(avatar_split_clause,[],[f1657,f1548,f852,f2429,f827,f817,f812]) ).
fof(f852,plain,
( spl38_52
<=> v3_lattice3(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_52])]) ).
fof(f1657,plain,
( v25_waybel_0(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ l1_orders_2(sK36)
| ~ spl38_52
| ~ spl38_193 ),
inference(resolution,[],[f1549,f854]) ).
fof(f854,plain,
( v3_lattice3(sK36)
| ~ spl38_52 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f2424,plain,
( ~ spl38_259
| spl38_314
| ~ spl38_125
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2011,f2000,f1181,f2421,f2037]) ).
fof(f2421,plain,
( spl38_314
<=> v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_314])]) ).
fof(f2011,plain,
( v3_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_125
| ~ spl38_255 ),
inference(superposition,[],[f1182,f2002]) ).
fof(f2419,plain,
( ~ spl38_37
| spl38_38
| ~ spl38_40
| spl38_313
| ~ spl38_43
| ~ spl38_193 ),
inference(avatar_split_clause,[],[f1656,f1548,f807,f2416,f792,f782,f777]) ).
fof(f807,plain,
( spl38_43
<=> v3_lattice3(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_43])]) ).
fof(f1656,plain,
( v25_waybel_0(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_43
| ~ spl38_193 ),
inference(resolution,[],[f1549,f809]) ).
fof(f809,plain,
( v3_lattice3(sK35)
| ~ spl38_43 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f2411,plain,
( ~ spl38_26
| spl38_27
| ~ spl38_28
| spl38_312
| ~ spl38_33
| ~ spl38_193 ),
inference(avatar_split_clause,[],[f1655,f1548,f757,f2408,f732,f727,f722]) ).
fof(f757,plain,
( spl38_33
<=> v3_lattice3(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_33])]) ).
fof(f1655,plain,
( v25_waybel_0(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ l1_orders_2(sK34)
| ~ spl38_33
| ~ spl38_193 ),
inference(resolution,[],[f1549,f759]) ).
fof(f759,plain,
( v3_lattice3(sK34)
| ~ spl38_33 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f2406,plain,
( ~ spl38_44
| spl38_45
| ~ spl38_47
| spl38_311
| ~ spl38_52
| ~ spl38_190 ),
inference(avatar_split_clause,[],[f1651,f1536,f852,f2403,f827,f817,f812]) ).
fof(f1651,plain,
( v24_waybel_0(sK36)
| ~ v2_orders_2(sK36)
| v3_struct_0(sK36)
| ~ l1_orders_2(sK36)
| ~ spl38_52
| ~ spl38_190 ),
inference(resolution,[],[f1537,f854]) ).
fof(f2401,plain,
( ~ spl38_37
| spl38_38
| ~ spl38_40
| spl38_310
| ~ spl38_43
| ~ spl38_190 ),
inference(avatar_split_clause,[],[f1650,f1536,f807,f2398,f792,f782,f777]) ).
fof(f1650,plain,
( v24_waybel_0(sK35)
| ~ v2_orders_2(sK35)
| v3_struct_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_43
| ~ spl38_190 ),
inference(resolution,[],[f1537,f809]) ).
fof(f2396,plain,
( ~ spl38_26
| spl38_27
| ~ spl38_28
| spl38_309
| ~ spl38_33
| ~ spl38_190 ),
inference(avatar_split_clause,[],[f1649,f1536,f757,f2393,f732,f727,f722]) ).
fof(f1649,plain,
( v24_waybel_0(sK34)
| ~ v2_orders_2(sK34)
| v3_struct_0(sK34)
| ~ l1_orders_2(sK34)
| ~ spl38_33
| ~ spl38_190 ),
inference(resolution,[],[f1537,f759]) ).
fof(f2391,plain,
( spl38_308
| ~ spl38_156
| ~ spl38_188 ),
inference(avatar_split_clause,[],[f1521,f1517,f1318,f2389]) ).
fof(f2389,plain,
( spl38_308
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_308])]) ).
fof(f1521,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl38_156
| ~ spl38_188 ),
inference(resolution,[],[f1518,f1319]) ).
fof(f2380,plain,
( spl38_307
| ~ spl38_89
| ~ spl38_188 ),
inference(avatar_split_clause,[],[f1527,f1517,f1015,f2378]) ).
fof(f1527,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK19(k1_zfmisc_1(X0))) )
| ~ spl38_89
| ~ spl38_188 ),
inference(resolution,[],[f1518,f1016]) ).
fof(f2376,plain,
( spl38_306
| ~ spl38_156
| ~ spl38_180 ),
inference(avatar_split_clause,[],[f1495,f1426,f1318,f2374]) ).
fof(f1495,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl38_156
| ~ spl38_180 ),
inference(resolution,[],[f1427,f1319]) ).
fof(f2372,plain,
( spl38_305
| ~ spl38_14
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1488,f1386,f1096,f1043,f939,f662,f2370]) ).
fof(f2370,plain,
( spl38_305
<=> ! [X0] :
( r2_hidden(sK28,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_305])]) ).
fof(f662,plain,
( spl38_14
<=> v1_xboole_0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f939,plain,
( spl38_70
<=> ! [X0] : v1_xboole_0(sK20(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_70])]) ).
fof(f1043,plain,
( spl38_93
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_93])]) ).
fof(f1488,plain,
( ! [X0] :
( r2_hidden(sK28,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl38_14
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_170 ),
inference(forward_demodulation,[],[f1487,f1110]) ).
fof(f1110,plain,
( k1_xboole_0 = sK28
| ~ spl38_14
| ~ spl38_93 ),
inference(resolution,[],[f1044,f664]) ).
fof(f664,plain,
( v1_xboole_0(sK28)
| ~ spl38_14 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f1044,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl38_93 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1487,plain,
( ! [X0] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_170 ),
inference(forward_demodulation,[],[f1486,f1109]) ).
fof(f1109,plain,
( ! [X0] : k1_xboole_0 = sK20(X0)
| ~ spl38_70
| ~ spl38_93 ),
inference(resolution,[],[f1044,f940]) ).
fof(f940,plain,
( ! [X0] : v1_xboole_0(sK20(X0))
| ~ spl38_70 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f1486,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK20(X0),k1_zfmisc_1(X0)) )
| ~ spl38_106
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1097]) ).
fof(f2356,plain,
( ~ spl38_259
| spl38_304
| ~ spl38_124
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2010,f2000,f1177,f2353,f2037]) ).
fof(f2353,plain,
( spl38_304
<=> v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_304])]) ).
fof(f2010,plain,
( v2_orders_2(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_124
| ~ spl38_255 ),
inference(superposition,[],[f1178,f2002]) ).
fof(f2338,plain,
( spl38_303
| ~ spl38_180
| ~ spl38_215 ),
inference(avatar_split_clause,[],[f1694,f1638,f1426,f2336]) ).
fof(f1694,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl38_180
| ~ spl38_215 ),
inference(resolution,[],[f1639,f1427]) ).
fof(f2334,plain,
( spl38_302
| ~ spl38_135
| ~ spl38_182 ),
inference(avatar_split_clause,[],[f1507,f1434,f1222,f2332]) ).
fof(f1507,plain,
( ! [X0,X1] : m2_relset_1(sK24(X0,X1),X0,X1)
| ~ spl38_135
| ~ spl38_182 ),
inference(resolution,[],[f1435,f1223]) ).
fof(f2330,plain,
( spl38_301
| ~ spl38_136
| ~ spl38_181 ),
inference(avatar_split_clause,[],[f1506,f1430,f1226,f2328]) ).
fof(f1506,plain,
( ! [X0,X1] : m1_relset_1(sK25(X0,X1),X0,X1)
| ~ spl38_136
| ~ spl38_181 ),
inference(resolution,[],[f1431,f1227]) ).
fof(f2326,plain,
( spl38_300
| ~ spl38_89
| ~ spl38_180 ),
inference(avatar_split_clause,[],[f1497,f1426,f1015,f2324]) ).
fof(f1497,plain,
( ! [X0,X1] : v1_relat_1(sK19(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl38_89
| ~ spl38_180 ),
inference(resolution,[],[f1427,f1016]) ).
fof(f2322,plain,
( spl38_299
| ~ spl38_135
| ~ spl38_172 ),
inference(avatar_split_clause,[],[f1494,f1394,f1222,f2320]) ).
fof(f1494,plain,
( ! [X0] : l1_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ spl38_135
| ~ spl38_172 ),
inference(resolution,[],[f1395,f1223]) ).
fof(f2318,plain,
( spl38_298
| ~ spl38_135
| ~ spl38_171 ),
inference(avatar_split_clause,[],[f1493,f1390,f1222,f2316]) ).
fof(f1493,plain,
( ! [X0] : v1_orders_2(g1_orders_2(X0,sK24(X0,X0)))
| ~ spl38_135
| ~ spl38_171 ),
inference(resolution,[],[f1391,f1223]) ).
fof(f2314,plain,
( spl38_297
| ~ spl38_89
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1485,f1386,f1015,f2312]) ).
fof(f1485,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK19(X0),X0) )
| ~ spl38_89
| ~ spl38_170 ),
inference(resolution,[],[f1387,f1016]) ).
fof(f2310,plain,
( ~ spl38_108
| ~ spl38_14
| spl38_296
| ~ spl38_14
| ~ spl38_23
| ~ spl38_24
| ~ spl38_93
| ~ spl38_167 ),
inference(avatar_split_clause,[],[f1477,f1374,f1043,f712,f707,f662,f2307,f662,f1104]) ).
fof(f1104,plain,
( spl38_108
<=> v1_funct_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_108])]) ).
fof(f2307,plain,
( spl38_296
<=> v2_funct_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_296])]) ).
fof(f707,plain,
( spl38_23
<=> v1_relat_1(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_23])]) ).
fof(f712,plain,
( spl38_24
<=> v1_xboole_0(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_24])]) ).
fof(f1477,plain,
( v2_funct_1(sK28)
| ~ v1_xboole_0(sK28)
| ~ v1_funct_1(sK28)
| ~ spl38_14
| ~ spl38_23
| ~ spl38_24
| ~ spl38_93
| ~ spl38_167 ),
inference(forward_demodulation,[],[f1476,f1112]) ).
fof(f1112,plain,
( sK28 = sK33
| ~ spl38_14
| ~ spl38_24
| ~ spl38_93 ),
inference(forward_demodulation,[],[f1111,f1110]) ).
fof(f1111,plain,
( k1_xboole_0 = sK33
| ~ spl38_24
| ~ spl38_93 ),
inference(resolution,[],[f1044,f714]) ).
fof(f714,plain,
( v1_xboole_0(sK33)
| ~ spl38_24 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1476,plain,
( ~ v1_xboole_0(sK28)
| ~ v1_funct_1(sK28)
| v2_funct_1(sK33)
| ~ spl38_14
| ~ spl38_23
| ~ spl38_24
| ~ spl38_93
| ~ spl38_167 ),
inference(forward_demodulation,[],[f1475,f1112]) ).
fof(f1475,plain,
( ~ v1_funct_1(sK28)
| ~ v1_xboole_0(sK33)
| v2_funct_1(sK33)
| ~ spl38_14
| ~ spl38_23
| ~ spl38_24
| ~ spl38_93
| ~ spl38_167 ),
inference(forward_demodulation,[],[f1474,f1112]) ).
fof(f1474,plain,
( ~ v1_funct_1(sK33)
| ~ v1_xboole_0(sK33)
| v2_funct_1(sK33)
| ~ spl38_23
| ~ spl38_167 ),
inference(resolution,[],[f1375,f709]) ).
fof(f709,plain,
( v1_relat_1(sK33)
| ~ spl38_23 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f2305,plain,
( spl38_294
| ~ spl38_295
| ~ spl38_19
| ~ spl38_18
| ~ spl38_167 ),
inference(avatar_split_clause,[],[f1472,f1374,f682,f687,f2302,f2298]) ).
fof(f2298,plain,
( spl38_294
<=> v2_funct_1(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_294])]) ).
fof(f2302,plain,
( spl38_295
<=> v1_xboole_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_295])]) ).
fof(f687,plain,
( spl38_19
<=> v1_funct_1(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_19])]) ).
fof(f682,plain,
( spl38_18
<=> v1_relat_1(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_18])]) ).
fof(f1472,plain,
( ~ v1_funct_1(sK31)
| ~ v1_xboole_0(sK31)
| v2_funct_1(sK31)
| ~ spl38_18
| ~ spl38_167 ),
inference(resolution,[],[f1375,f684]) ).
fof(f684,plain,
( v1_relat_1(sK31)
| ~ spl38_18 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f2296,plain,
( spl38_54
| spl38_293
| ~ spl38_53
| ~ spl38_61
| ~ spl38_164 ),
inference(avatar_split_clause,[],[f1470,f1362,f897,f857,f2293,f862]) ).
fof(f897,plain,
( spl38_61
<=> v3_lattice3(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_61])]) ).
fof(f1470,plain,
( ~ l1_orders_2(sK37)
| sP2(sK37)
| v3_struct_0(sK37)
| ~ spl38_61
| ~ spl38_164 ),
inference(resolution,[],[f1363,f899]) ).
fof(f899,plain,
( v3_lattice3(sK37)
| ~ spl38_61 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f2291,plain,
( spl38_45
| spl38_292
| ~ spl38_44
| ~ spl38_52
| ~ spl38_164 ),
inference(avatar_split_clause,[],[f1469,f1362,f852,f812,f2288,f817]) ).
fof(f1469,plain,
( ~ l1_orders_2(sK36)
| sP2(sK36)
| v3_struct_0(sK36)
| ~ spl38_52
| ~ spl38_164 ),
inference(resolution,[],[f1363,f854]) ).
fof(f2286,plain,
( ~ spl38_259
| ~ spl38_291
| ~ spl38_123
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2009,f2000,f1173,f2283,f2037]) ).
fof(f2009,plain,
( ~ v3_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ sP4(sK9)
| ~ spl38_123
| ~ spl38_255 ),
inference(superposition,[],[f1174,f2002]) ).
fof(f2281,plain,
( spl38_38
| spl38_290
| ~ spl38_37
| ~ spl38_43
| ~ spl38_164 ),
inference(avatar_split_clause,[],[f1468,f1362,f807,f777,f2278,f782]) ).
fof(f1468,plain,
( ~ l1_orders_2(sK35)
| sP2(sK35)
| v3_struct_0(sK35)
| ~ spl38_43
| ~ spl38_164 ),
inference(resolution,[],[f1363,f809]) ).
fof(f2276,plain,
( spl38_27
| spl38_289
| ~ spl38_26
| ~ spl38_33
| ~ spl38_164 ),
inference(avatar_split_clause,[],[f1467,f1362,f757,f722,f2273,f727]) ).
fof(f1467,plain,
( ~ l1_orders_2(sK34)
| sP2(sK34)
| v3_struct_0(sK34)
| ~ spl38_33
| ~ spl38_164 ),
inference(resolution,[],[f1363,f759]) ).
fof(f2271,plain,
( ~ spl38_37
| spl38_38
| spl38_288
| ~ spl38_43
| ~ spl38_160 ),
inference(avatar_split_clause,[],[f1452,f1346,f807,f2268,f782,f777]) ).
fof(f1346,plain,
( spl38_160
<=> ! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_160])]) ).
fof(f1452,plain,
( v2_lattice3(sK35)
| v3_struct_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_43
| ~ spl38_160 ),
inference(resolution,[],[f1347,f809]) ).
fof(f1347,plain,
( ! [X0] :
( ~ v3_lattice3(X0)
| v2_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_160 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f2262,plain,
( ~ spl38_37
| spl38_38
| spl38_287
| ~ spl38_43
| ~ spl38_159 ),
inference(avatar_split_clause,[],[f1446,f1342,f807,f2259,f782,f777]) ).
fof(f1446,plain,
( v1_lattice3(sK35)
| v3_struct_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_43
| ~ spl38_159 ),
inference(resolution,[],[f1343,f809]) ).
fof(f2255,plain,
( ~ spl38_44
| spl38_45
| spl38_286
| ~ spl38_52
| ~ spl38_158 ),
inference(avatar_split_clause,[],[f1441,f1338,f852,f2252,f817,f812]) ).
fof(f1441,plain,
( v3_yellow_0(sK36)
| v3_struct_0(sK36)
| ~ l1_orders_2(sK36)
| ~ spl38_52
| ~ spl38_158 ),
inference(resolution,[],[f1339,f854]) ).
fof(f2248,plain,
( ~ spl38_37
| spl38_38
| spl38_285
| ~ spl38_43
| ~ spl38_158 ),
inference(avatar_split_clause,[],[f1440,f1338,f807,f2245,f782,f777]) ).
fof(f1440,plain,
( v3_yellow_0(sK35)
| v3_struct_0(sK35)
| ~ l1_orders_2(sK35)
| ~ spl38_43
| ~ spl38_158 ),
inference(resolution,[],[f1339,f809]) ).
fof(f2198,plain,
( spl38_282
| ~ spl38_93
| ~ spl38_217 ),
inference(avatar_split_clause,[],[f2185,f1667,f1043,f2167]) ).
fof(f2167,plain,
( spl38_282
<=> ! [X0] :
( sK28 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_282])]) ).
fof(f1667,plain,
( spl38_217
<=> k1_xboole_0 = sK28 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_217])]) ).
fof(f2185,plain,
( ! [X0] :
( sK28 = X0
| ~ v1_xboole_0(X0) )
| ~ spl38_93
| ~ spl38_217 ),
inference(forward_demodulation,[],[f1044,f1669]) ).
fof(f1669,plain,
( k1_xboole_0 = sK28
| ~ spl38_217 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f2197,plain,
( ~ spl38_256
| spl38_192
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2186,f2000,f1543,f2020]) ).
fof(f2020,plain,
( spl38_256
<=> v1_xboole_0(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_256])]) ).
fof(f2186,plain,
( ~ v1_xboole_0(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| spl38_192
| ~ spl38_255 ),
inference(forward_demodulation,[],[f1545,f2002]) ).
fof(f1545,plain,
( ~ v1_xboole_0(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))
| spl38_192 ),
inference(avatar_component_clause,[],[f1543]) ).
fof(f2184,plain,
( ~ spl38_11
| ~ spl38_283 ),
inference(avatar_contradiction_clause,[],[f2177]) ).
fof(f2177,plain,
( $false
| ~ spl38_11
| ~ spl38_283 ),
inference(resolution,[],[f2172,f649]) ).
fof(f649,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl38_11 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl38_11
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_11])]) ).
fof(f2172,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl38_283 ),
inference(avatar_component_clause,[],[f2171]) ).
fof(f2171,plain,
( spl38_283
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_283])]) ).
fof(f2183,plain,
( ~ spl38_70
| ~ spl38_283 ),
inference(avatar_contradiction_clause,[],[f2178]) ).
fof(f2178,plain,
( $false
| ~ spl38_70
| ~ spl38_283 ),
inference(resolution,[],[f2172,f940]) ).
fof(f2182,plain,
( ~ spl38_14
| ~ spl38_283 ),
inference(avatar_contradiction_clause,[],[f2179]) ).
fof(f2179,plain,
( $false
| ~ spl38_14
| ~ spl38_283 ),
inference(resolution,[],[f2172,f664]) ).
fof(f2181,plain,
( ~ spl38_24
| ~ spl38_283 ),
inference(avatar_contradiction_clause,[],[f2180]) ).
fof(f2180,plain,
( $false
| ~ spl38_24
| ~ spl38_283 ),
inference(resolution,[],[f2172,f714]) ).
fof(f2176,plain,
( spl38_283
| spl38_284
| ~ spl38_14
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_188 ),
inference(avatar_split_clause,[],[f1530,f1517,f1096,f1043,f939,f662,f2174,f2171]) ).
fof(f1530,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK28)
| ~ v1_xboole_0(X0) )
| ~ spl38_14
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_188 ),
inference(forward_demodulation,[],[f1529,f1110]) ).
fof(f1529,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X0) )
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_188 ),
inference(forward_demodulation,[],[f1528,f1109]) ).
fof(f1528,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK20(X0)) )
| ~ spl38_106
| ~ spl38_188 ),
inference(resolution,[],[f1518,f1097]) ).
fof(f2169,plain,
( spl38_282
| ~ spl38_14
| ~ spl38_157 ),
inference(avatar_split_clause,[],[f1333,f1322,f662,f2167]) ).
fof(f1322,plain,
( spl38_157
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_157])]) ).
fof(f1333,plain,
( ! [X0] :
( sK28 = X0
| ~ v1_xboole_0(X0) )
| ~ spl38_14
| ~ spl38_157 ),
inference(resolution,[],[f1323,f664]) ).
fof(f1323,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl38_157 ),
inference(avatar_component_clause,[],[f1322]) ).
fof(f2165,plain,
( spl38_281
| ~ spl38_14
| ~ spl38_23
| ~ spl38_24
| ~ spl38_93
| ~ spl38_140 ),
inference(avatar_split_clause,[],[f1329,f1254,f1043,f712,f707,f662,f2162]) ).
fof(f2162,plain,
( spl38_281
<=> sK28 = k4_relat_1(k4_relat_1(sK28)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_281])]) ).
fof(f1329,plain,
( sK28 = k4_relat_1(k4_relat_1(sK28))
| ~ spl38_14
| ~ spl38_23
| ~ spl38_24
| ~ spl38_93
| ~ spl38_140 ),
inference(forward_demodulation,[],[f1328,f1112]) ).
fof(f1328,plain,
( sK33 = k4_relat_1(k4_relat_1(sK33))
| ~ spl38_23
| ~ spl38_140 ),
inference(resolution,[],[f1255,f709]) ).
fof(f2160,plain,
( spl38_280
| ~ spl38_20
| ~ spl38_140 ),
inference(avatar_split_clause,[],[f1327,f1254,f692,f2157]) ).
fof(f2157,plain,
( spl38_280
<=> sK32 = k4_relat_1(k4_relat_1(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_280])]) ).
fof(f692,plain,
( spl38_20
<=> v1_relat_1(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_20])]) ).
fof(f1327,plain,
( sK32 = k4_relat_1(k4_relat_1(sK32))
| ~ spl38_20
| ~ spl38_140 ),
inference(resolution,[],[f1255,f694]) ).
fof(f694,plain,
( v1_relat_1(sK32)
| ~ spl38_20 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f2155,plain,
( spl38_279
| ~ spl38_18
| ~ spl38_140 ),
inference(avatar_split_clause,[],[f1326,f1254,f682,f2152]) ).
fof(f2152,plain,
( spl38_279
<=> sK31 = k4_relat_1(k4_relat_1(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_279])]) ).
fof(f1326,plain,
( sK31 = k4_relat_1(k4_relat_1(sK31))
| ~ spl38_18
| ~ spl38_140 ),
inference(resolution,[],[f1255,f684]) ).
fof(f2150,plain,
( spl38_278
| ~ spl38_73
| ~ spl38_95 ),
inference(avatar_split_clause,[],[f1113,f1051,f951,f2148]) ).
fof(f2148,plain,
( spl38_278
<=> ! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(k7_lattice3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_278])]) ).
fof(f1113,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(k7_lattice3(X0)) )
| ~ spl38_73
| ~ spl38_95 ),
inference(resolution,[],[f1052,f952]) ).
fof(f2146,plain,
( ~ spl38_277
| ~ spl38_255
| spl38_274 ),
inference(avatar_split_clause,[],[f2136,f2127,f2000,f2143]) ).
fof(f2143,plain,
( spl38_277
<=> v12_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_277])]) ).
fof(f2127,plain,
( spl38_274
<=> v12_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_274])]) ).
fof(f2136,plain,
( ~ v12_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_255
| spl38_274 ),
inference(forward_demodulation,[],[f2129,f2002]) ).
fof(f2129,plain,
( ~ v12_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| spl38_274 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2141,plain,
( ~ spl38_276
| ~ spl38_255
| spl38_275 ),
inference(avatar_split_clause,[],[f2135,f2131,f2000,f2138]) ).
fof(f2138,plain,
( spl38_276
<=> sP7(sK10,k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_276])]) ).
fof(f2131,plain,
( spl38_275
<=> sP7(sK10,k2_yellow_1(k9_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_275])]) ).
fof(f2135,plain,
( ~ sP7(sK10,k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_255
| spl38_275 ),
inference(forward_demodulation,[],[f2132,f2002]) ).
fof(f2132,plain,
( ~ sP7(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| spl38_275 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f2134,plain,
( spl38_7
| ~ spl38_8
| ~ spl38_274
| spl38_275
| ~ spl38_9
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f1958,f1939,f637,f2131,f2127,f632,f627]) ).
fof(f632,plain,
( spl38_8
<=> v1_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_8])]) ).
fof(f1958,plain,
( sP7(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| ~ v12_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| ~ v1_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| v1_xboole_0(sK10)
| ~ spl38_9
| ~ spl38_252 ),
inference(resolution,[],[f1940,f639]) ).
fof(f2125,plain,
( ~ spl38_273
| ~ spl38_255
| spl38_268 ),
inference(avatar_split_clause,[],[f2110,f2096,f2000,f2122]) ).
fof(f2122,plain,
( spl38_273
<=> v2_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_273])]) ).
fof(f2096,plain,
( spl38_268
<=> v2_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_268])]) ).
fof(f2110,plain,
( ~ v2_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_255
| spl38_268 ),
inference(forward_demodulation,[],[f2098,f2002]) ).
fof(f2098,plain,
( ~ v2_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| spl38_268 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2120,plain,
( ~ spl38_272
| ~ spl38_255
| spl38_269 ),
inference(avatar_split_clause,[],[f2109,f2100,f2000,f2117]) ).
fof(f2117,plain,
( spl38_272
<=> v13_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_272])]) ).
fof(f2100,plain,
( spl38_269
<=> v13_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_269])]) ).
fof(f2109,plain,
( ~ v13_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_255
| spl38_269 ),
inference(forward_demodulation,[],[f2102,f2002]) ).
fof(f2102,plain,
( ~ v13_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| spl38_269 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2115,plain,
( ~ spl38_271
| ~ spl38_255
| spl38_270 ),
inference(avatar_split_clause,[],[f2108,f2104,f2000,f2112]) ).
fof(f2112,plain,
( spl38_271
<=> sP5(sK10,k2_yellow_1(a_1_1_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_271])]) ).
fof(f2104,plain,
( spl38_270
<=> sP5(sK10,k2_yellow_1(k9_waybel_0(sK9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_270])]) ).
fof(f2108,plain,
( ~ sP5(sK10,k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_255
| spl38_270 ),
inference(forward_demodulation,[],[f2105,f2002]) ).
fof(f2105,plain,
( ~ sP5(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| spl38_270 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f2107,plain,
( spl38_7
| ~ spl38_268
| ~ spl38_269
| spl38_270
| ~ spl38_9
| ~ spl38_251 ),
inference(avatar_split_clause,[],[f1944,f1935,f637,f2104,f2100,f2096,f627]) ).
fof(f1944,plain,
( sP5(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| ~ v13_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| ~ v2_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| v1_xboole_0(sK10)
| ~ spl38_9
| ~ spl38_251 ),
inference(resolution,[],[f1936,f639]) ).
fof(f2092,plain,
( spl38_267
| ~ spl38_217
| ~ spl38_266 ),
inference(avatar_split_clause,[],[f2088,f2085,f1667,f2090]) ).
fof(f2085,plain,
( spl38_266
<=> ! [X0] : k1_xboole_0 = sK20(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_266])]) ).
fof(f2088,plain,
( ! [X0] : sK20(X0) = sK28
| ~ spl38_217
| ~ spl38_266 ),
inference(forward_demodulation,[],[f2086,f1669]) ).
fof(f2086,plain,
( ! [X0] : k1_xboole_0 = sK20(X0)
| ~ spl38_266 ),
inference(avatar_component_clause,[],[f2085]) ).
fof(f2087,plain,
( spl38_266
| ~ spl38_70
| ~ spl38_93 ),
inference(avatar_split_clause,[],[f1109,f1043,f939,f2085]) ).
fof(f2079,plain,
( spl38_265
| ~ spl38_6
| ~ spl38_249 ),
inference(avatar_split_clause,[],[f1928,f1919,f622,f2076]) ).
fof(f1928,plain,
( k7_lattice3(sK9) = g1_orders_2(u1_struct_0(sK9),k6_relset_1(u1_struct_0(sK9),u1_struct_0(sK9),u1_orders_2(sK9)))
| ~ spl38_6
| ~ spl38_249 ),
inference(resolution,[],[f1920,f624]) ).
fof(f2074,plain,
( spl38_264
| ~ spl38_8
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2008,f2000,f632,f2071]) ).
fof(f2008,plain,
( v1_waybel_0(sK10,k2_yellow_1(a_1_1_waybel_0(sK9)))
| ~ spl38_8
| ~ spl38_255 ),
inference(superposition,[],[f634,f2002]) ).
fof(f634,plain,
( v1_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
| ~ spl38_8 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f2065,plain,
( spl38_263
| ~ spl38_255
| ~ spl38_261 ),
inference(avatar_split_clause,[],[f2059,f2049,f2000,f2062]) ).
fof(f2062,plain,
( spl38_263
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_263])]) ).
fof(f2049,plain,
( spl38_261
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_261])]) ).
fof(f2059,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| ~ spl38_255
| ~ spl38_261 ),
inference(forward_demodulation,[],[f2051,f2002]) ).
fof(f2051,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
| ~ spl38_261 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f2058,plain,
( spl38_262
| ~ spl38_255
| ~ spl38_260 ),
inference(avatar_split_clause,[],[f2053,f2045,f2000,f2055]) ).
fof(f2045,plain,
( spl38_260
<=> r2_hidden(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_260])]) ).
fof(f2053,plain,
( r2_hidden(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9)))))
| ~ spl38_255
| ~ spl38_260 ),
inference(forward_demodulation,[],[f2047,f2002]) ).
fof(f2047,plain,
( r2_hidden(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
| ~ spl38_260 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f2052,plain,
( spl38_260
| spl38_261
| ~ spl38_9
| ~ spl38_170 ),
inference(avatar_split_clause,[],[f1480,f1386,f637,f2049,f2045]) ).
fof(f1480,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
| r2_hidden(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
| ~ spl38_9
| ~ spl38_170 ),
inference(resolution,[],[f1387,f639]) ).
fof(f2040,plain,
( ~ spl38_1
| ~ spl38_2
| ~ spl38_3
| ~ spl38_5
| ~ spl38_4
| spl38_259
| ~ spl38_6
| ~ spl38_246 ),
inference(avatar_split_clause,[],[f1910,f1874,f622,f2037,f612,f617,f607,f602,f597]) ).
fof(f1910,plain,
( sP4(sK9)
| ~ v2_yellow_0(sK9)
| ~ v2_lattice3(sK9)
| ~ v4_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ v2_orders_2(sK9)
| ~ spl38_6
| ~ spl38_246 ),
inference(resolution,[],[f1875,f624]) ).
fof(f2034,plain,
( spl38_258
| ~ spl38_255
| ~ spl38_257 ),
inference(avatar_split_clause,[],[f2029,f2025,f2000,f2031]) ).
fof(f2025,plain,
( spl38_257
<=> k9_waybel_0(sK9) = k8_waybel_0(k7_lattice3(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_257])]) ).
fof(f2029,plain,
( a_1_1_waybel_0(sK9) = k8_waybel_0(k7_lattice3(sK9))
| ~ spl38_255
| ~ spl38_257 ),
inference(forward_demodulation,[],[f2027,f2002]) ).
fof(f2027,plain,
( k9_waybel_0(sK9) = k8_waybel_0(k7_lattice3(sK9))
| ~ spl38_257 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f2028,plain,
( spl38_242
| ~ spl38_1
| ~ spl38_2
| spl38_257
| ~ spl38_6
| ~ spl38_240 ),
inference(avatar_split_clause,[],[f1889,f1849,f622,f2025,f602,f597,f1857]) ).
fof(f1889,plain,
( k9_waybel_0(sK9) = k8_waybel_0(k7_lattice3(sK9))
| ~ v3_orders_2(sK9)
| ~ v2_orders_2(sK9)
| v3_struct_0(sK9)
| ~ spl38_6
| ~ spl38_240 ),
inference(resolution,[],[f1850,f624]) ).
fof(f2023,plain,
( ~ spl38_256
| spl38_192
| ~ spl38_255 ),
inference(avatar_split_clause,[],[f2005,f2000,f1543,f2020]) ).
fof(f2005,plain,
( ~ v1_xboole_0(u1_struct_0(k2_yellow_1(a_1_1_waybel_0(sK9))))
| spl38_192
| ~ spl38_255 ),
inference(superposition,[],[f1545,f2002]) ).
fof(f2003,plain,
( spl38_242
| ~ spl38_1
| ~ spl38_2
| spl38_255
| ~ spl38_6
| ~ spl38_234 ),
inference(avatar_split_clause,[],[f1816,f1789,f622,f2000,f602,f597,f1857]) ).
fof(f1816,plain,
( k9_waybel_0(sK9) = a_1_1_waybel_0(sK9)
| ~ v3_orders_2(sK9)
| ~ v2_orders_2(sK9)
| v3_struct_0(sK9)
| ~ spl38_6
| ~ spl38_234 ),
inference(resolution,[],[f1790,f624]) ).
fof(f1984,plain,
spl38_254,
inference(avatar_split_clause,[],[f473,f1982]) ).
fof(f473,plain,
! [X0,X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1) )
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1) )
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_waybel13) ).
fof(f1974,plain,
spl38_253,
inference(avatar_split_clause,[],[f377,f1972]) ).
fof(f377,plain,
! [X0] :
( sP0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f139,f237]) ).
fof(f237,plain,
! [X0] :
( ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f139,plain,
! [X0] :
( ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v24_waybel_0(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc12_waybel_0) ).
fof(f1942,plain,
( ~ spl38_6
| ~ spl38_5
| ~ spl38_113
| ~ spl38_242 ),
inference(avatar_split_clause,[],[f1901,f1857,f1132,f617,f622]) ).
fof(f1132,plain,
( spl38_113
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_113])]) ).
fof(f1901,plain,
( ~ v2_lattice3(sK9)
| ~ l1_orders_2(sK9)
| ~ spl38_113
| ~ spl38_242 ),
inference(resolution,[],[f1859,f1133]) ).
fof(f1133,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) )
| ~ spl38_113 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1859,plain,
( v3_struct_0(sK9)
| ~ spl38_242 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f1941,plain,
spl38_252,
inference(avatar_split_clause,[],[f595,f1939]) ).
fof(f595,plain,
! [X2,X1] :
( sP7(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(X2,X1)
| ~ v1_waybel_0(X2,X1)
| v1_xboole_0(X2) ),
inference(equality_resolution,[],[f521]) ).
fof(f521,plain,
! [X2,X0,X1] :
( sP7(X0,X1)
| X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(X2,X1)
| ~ v1_waybel_0(X2,X1)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ! [X2] :
( X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(X2,X1)
| ~ v1_waybel_0(X2,X1)
| v1_xboole_0(X2) ) )
& ( ( sK22(X0,X1) = X0
& m1_subset_1(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(sK22(X0,X1),X1)
& v1_waybel_0(sK22(X0,X1),X1)
& ~ v1_xboole_0(sK22(X0,X1)) )
| ~ sP7(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f290,f291]) ).
fof(f291,plain,
! [X0,X1] :
( ? [X3] :
( X0 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X3,X1)
& v1_waybel_0(X3,X1)
& ~ v1_xboole_0(X3) )
=> ( sK22(X0,X1) = X0
& m1_subset_1(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(sK22(X0,X1),X1)
& v1_waybel_0(sK22(X0,X1),X1)
& ~ v1_xboole_0(sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ! [X2] :
( X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(X2,X1)
| ~ v1_waybel_0(X2,X1)
| v1_xboole_0(X2) ) )
& ( ? [X3] :
( X0 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X3,X1)
& v1_waybel_0(X3,X1)
& ~ v1_xboole_0(X3) )
| ~ sP7(X0,X1) ) ),
inference(rectify,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| ! [X2] :
( X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(X2,X1)
| ~ v1_waybel_0(X2,X1)
| v1_xboole_0(X2) ) )
& ( ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X2,X1)
& v1_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) )
| ~ sP7(X0,X1) ) ),
inference(nnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0,X1] :
( sP7(X0,X1)
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X2,X1)
& v1_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1937,plain,
spl38_251,
inference(avatar_split_clause,[],[f594,f1935]) ).
fof(f594,plain,
! [X2,X1] :
( sP5(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v13_waybel_0(X2,X1)
| ~ v2_waybel_0(X2,X1)
| v1_xboole_0(X2) ),
inference(equality_resolution,[],[f512]) ).
fof(f512,plain,
! [X2,X0,X1] :
( sP5(X0,X1)
| X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v13_waybel_0(X2,X1)
| ~ v2_waybel_0(X2,X1)
| v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ! [X2] :
( X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v13_waybel_0(X2,X1)
| ~ v2_waybel_0(X2,X1)
| v1_xboole_0(X2) ) )
& ( ( sK21(X0,X1) = X0
& m1_subset_1(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(sK21(X0,X1),X1)
& v2_waybel_0(sK21(X0,X1),X1)
& ~ v1_xboole_0(sK21(X0,X1)) )
| ~ sP5(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f284,f285]) ).
fof(f285,plain,
! [X0,X1] :
( ? [X3] :
( X0 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(X3,X1)
& v2_waybel_0(X3,X1)
& ~ v1_xboole_0(X3) )
=> ( sK21(X0,X1) = X0
& m1_subset_1(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(sK21(X0,X1),X1)
& v2_waybel_0(sK21(X0,X1),X1)
& ~ v1_xboole_0(sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ! [X2] :
( X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v13_waybel_0(X2,X1)
| ~ v2_waybel_0(X2,X1)
| v1_xboole_0(X2) ) )
& ( ? [X3] :
( X0 = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(X3,X1)
& v2_waybel_0(X3,X1)
& ~ v1_xboole_0(X3) )
| ~ sP5(X0,X1) ) ),
inference(rectify,[],[f283]) ).
fof(f283,plain,
! [X0,X1] :
( ( sP5(X0,X1)
| ! [X2] :
( X0 != X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v13_waybel_0(X2,X1)
| ~ v2_waybel_0(X2,X1)
| v1_xboole_0(X2) ) )
& ( ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(X2,X1)
& v2_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) )
| ~ sP5(X0,X1) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0,X1] :
( sP5(X0,X1)
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(X2,X1)
& v2_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1925,plain,
spl38_250,
inference(avatar_split_clause,[],[f437,f1923]) ).
fof(f437,plain,
! [X0] :
( ~ v1_xboole_0(k9_waybel_0(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ~ v1_xboole_0(k9_waybel_0(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ~ v1_xboole_0(k9_waybel_0(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k9_waybel_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_waybel16) ).
fof(f1921,plain,
spl38_249,
inference(avatar_split_clause,[],[f347,f1919]) ).
fof(f347,plain,
! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l1_orders_2(X0)
=> k7_lattice3(X0) = g1_orders_2(u1_struct_0(X0),k6_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_orders_2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_lattice3) ).
fof(f1884,plain,
spl38_248,
inference(avatar_split_clause,[],[f503,f1882]) ).
fof(f503,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X1 = X3
& X0 = X2 )
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f1880,plain,
spl38_247,
inference(avatar_split_clause,[],[f502,f1878]) ).
fof(f502,plain,
! [X2,X3,X0,X1] :
( X0 = X2
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ~ m1_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f1876,plain,
spl38_246,
inference(avatar_split_clause,[],[f491,f1874]) ).
fof(f491,plain,
! [X0] :
( sP4(X0)
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP4(X0)
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(definition_folding,[],[f211,f245]) ).
fof(f245,plain,
! [X0] :
( ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f211,plain,
! [X0] :
( ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_waybel16) ).
fof(f1872,plain,
spl38_245,
inference(avatar_split_clause,[],[f480,f1870]) ).
fof(f480,plain,
! [X0] :
( sP3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(definition_folding,[],[f209,f243]) ).
fof(f243,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc11_waybel_0) ).
fof(f1868,plain,
spl38_244,
inference(avatar_split_clause,[],[f433,f1866]) ).
fof(f433,plain,
! [X0] :
( m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ( v12_waybel_0(sK17(X0),X0)
& v1_waybel_0(sK17(X0),X0)
& ~ v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f175,f271]) ).
fof(f271,plain,
! [X0] :
( ? [X1] :
( v12_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v12_waybel_0(sK17(X0),X0)
& v1_waybel_0(sK17(X0),X0)
& ~ v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0] :
( ? [X1] :
( v12_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ? [X1] :
( v12_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v12_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc9_waybel_0) ).
fof(f1864,plain,
( spl38_242
| ~ spl38_1
| ~ spl38_2
| spl38_243
| ~ spl38_6
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f1808,f1785,f622,f1861,f602,f597,f1857]) ).
fof(f1808,plain,
( k8_waybel_0(sK9) = a_1_0_waybel_0(sK9)
| ~ v3_orders_2(sK9)
| ~ v2_orders_2(sK9)
| v3_struct_0(sK9)
| ~ spl38_6
| ~ spl38_233 ),
inference(resolution,[],[f1786,f624]) ).
fof(f1855,plain,
spl38_241,
inference(avatar_split_clause,[],[f429,f1853]) ).
fof(f429,plain,
! [X0] :
( m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ( v13_waybel_0(sK16(X0),X0)
& v2_waybel_0(sK16(X0),X0)
& ~ v1_xboole_0(sK16(X0))
& m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f173,f269]) ).
fof(f269,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v13_waybel_0(sK16(X0),X0)
& v2_waybel_0(sK16(X0),X0)
& ~ v1_xboole_0(sK16(X0))
& m1_subset_1(sK16(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v13_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc10_waybel_0) ).
fof(f1851,plain,
spl38_240,
inference(avatar_split_clause,[],[f428,f1849]) ).
fof(f428,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f106,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel16) ).
fof(f1847,plain,
spl38_239,
inference(avatar_split_clause,[],[f422,f1845]) ).
fof(f422,plain,
! [X0] :
( v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v24_waybel_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel_8) ).
fof(f1843,plain,
spl38_238,
inference(avatar_split_clause,[],[f387,f1841]) ).
fof(f387,plain,
! [X0] :
( sP1(X0)
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP1(X0)
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(definition_folding,[],[f143,f239]) ).
fof(f239,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f143,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v25_waybel_0(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc14_waybel_0) ).
fof(f1805,plain,
spl38_237,
inference(avatar_split_clause,[],[f532,f1803]) ).
fof(f532,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
fof(f1799,plain,
spl38_236,
inference(avatar_split_clause,[],[f524,f1797]) ).
fof(f524,plain,
! [X0,X1] :
( X0 = X1
| ~ r2_hidden(sK23(X0,X1),X1)
| ~ r2_hidden(sK23(X0,X1),X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ r2_hidden(sK23(X0,X1),X1)
| ~ r2_hidden(sK23(X0,X1),X0) )
& ( r2_hidden(sK23(X0,X1),X1)
| r2_hidden(sK23(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f293,f294]) ).
fof(f294,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
& ( r2_hidden(X2,X1)
| r2_hidden(X2,X0) ) )
=> ( ( ~ r2_hidden(sK23(X0,X1),X1)
| ~ r2_hidden(sK23(X0,X1),X0) )
& ( r2_hidden(sK23(X0,X1),X1)
| r2_hidden(sK23(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f293,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,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( r2_hidden(X2,X0)
<~> r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,axiom,
! [X0,X1] :
( ! [X2] :
( r2_hidden(X2,X0)
<=> r2_hidden(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f1795,plain,
spl38_235,
inference(avatar_split_clause,[],[f523,f1793]) ).
fof(f523,plain,
! [X0,X1] :
( X0 = X1
| r2_hidden(sK23(X0,X1),X1)
| r2_hidden(sK23(X0,X1),X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1791,plain,
spl38_234,
inference(avatar_split_clause,[],[f427,f1789]) ).
fof(f427,plain,
! [X0] :
( k9_waybel_0(X0) = a_1_1_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( k9_waybel_0(X0) = a_1_1_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( k9_waybel_0(X0) = a_1_1_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> k9_waybel_0(X0) = a_1_1_waybel_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d24_waybel_0) ).
fof(f1787,plain,
spl38_233,
inference(avatar_split_clause,[],[f426,f1785]) ).
fof(f426,plain,
! [X0] :
( k8_waybel_0(X0) = a_1_0_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( k8_waybel_0(X0) = a_1_0_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( k8_waybel_0(X0) = a_1_0_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> k8_waybel_0(X0) = a_1_0_waybel_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d23_waybel_0) ).
fof(f1781,plain,
spl38_232,
inference(avatar_split_clause,[],[f436,f1779]) ).
fof(f436,plain,
! [X0] :
( v12_waybel_0(sK17(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1777,plain,
spl38_231,
inference(avatar_split_clause,[],[f435,f1775]) ).
fof(f435,plain,
! [X0] :
( v1_waybel_0(sK17(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1773,plain,
spl38_230,
inference(avatar_split_clause,[],[f432,f1771]) ).
fof(f432,plain,
! [X0] :
( v13_waybel_0(sK16(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1769,plain,
spl38_229,
inference(avatar_split_clause,[],[f431,f1767]) ).
fof(f1767,plain,
( spl38_229
<=> ! [X0] :
( v2_waybel_0(sK16(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_229])]) ).
fof(f431,plain,
! [X0] :
( v2_waybel_0(sK16(X0),X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1765,plain,
spl38_228,
inference(avatar_split_clause,[],[f425,f1763]) ).
fof(f1763,plain,
( spl38_228
<=> ! [X0] :
( v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_228])]) ).
fof(f425,plain,
! [X0] :
( v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v2_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel_8) ).
fof(f1761,plain,
spl38_227,
inference(avatar_split_clause,[],[f381,f1759]) ).
fof(f1759,plain,
( spl38_227
<=> ! [X0] :
( v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_227])]) ).
fof(f381,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( v2_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( v2_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v25_waybel_0(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc13_waybel_0) ).
fof(f1743,plain,
spl38_226,
inference(avatar_split_clause,[],[f531,f1741]) ).
fof(f531,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f1739,plain,
spl38_225,
inference(avatar_split_clause,[],[f530,f1737]) ).
fof(f530,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f1735,plain,
spl38_224,
inference(avatar_split_clause,[],[f522,f1733]) ).
fof(f522,plain,
! [X0,X1] :
( sP8(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( sP8(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(definition_folding,[],[f224,f251,f250]) ).
fof(f251,plain,
! [X1,X0] :
( ( r2_hidden(X0,a_1_0_waybel_0(X1))
<=> sP7(X0,X1) )
| ~ sP8(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f224,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_0_waybel_0(X1))
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X2,X1)
& v1_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) )
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_0_waybel_0(X1))
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X2,X1)
& v1_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) )
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_1_0_waybel_0(X1))
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X2,X1)
& v1_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_0_waybel_0) ).
fof(f1731,plain,
spl38_223,
inference(avatar_split_clause,[],[f513,f1729]) ).
fof(f513,plain,
! [X0,X1] :
( sP6(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0,X1] :
( sP6(X1,X0)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(definition_folding,[],[f222,f248,f247]) ).
fof(f248,plain,
! [X1,X0] :
( ( r2_hidden(X0,a_1_1_waybel_0(X1))
<=> sP5(X0,X1) )
| ~ sP6(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f222,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_waybel_0(X1))
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(X2,X1)
& v2_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) )
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( ( r2_hidden(X0,a_1_1_waybel_0(X1))
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(X2,X1)
& v2_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) )
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_1_1_waybel_0(X1))
<=> ? [X2] :
( X0 = X2
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v13_waybel_0(X2,X1)
& v2_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_1_1_waybel_0) ).
fof(f1727,plain,
spl38_222,
inference(avatar_split_clause,[],[f434,f1725]) ).
fof(f1725,plain,
( spl38_222
<=> ! [X0] :
( ~ v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_222])]) ).
fof(f434,plain,
! [X0] :
( ~ v1_xboole_0(sK17(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f1723,plain,
spl38_221,
inference(avatar_split_clause,[],[f430,f1721]) ).
fof(f1721,plain,
( spl38_221
<=> ! [X0] :
( ~ v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_221])]) ).
fof(f430,plain,
! [X0] :
( ~ v1_xboole_0(sK16(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1719,plain,
spl38_220,
inference(avatar_split_clause,[],[f354,f1717]) ).
fof(f354,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0
| ~ v1_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(X0)
=> g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f1715,plain,
( spl38_219
| ~ spl38_9
| ~ spl38_216 ),
inference(avatar_split_clause,[],[f1699,f1642,f637,f1713]) ).
fof(f1699,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) )
| ~ spl38_9
| ~ spl38_216 ),
inference(resolution,[],[f1643,f639]) ).
fof(f1679,plain,
( spl38_218
| ~ spl38_14
| ~ spl38_24
| ~ spl38_93 ),
inference(avatar_split_clause,[],[f1112,f1043,f712,f662,f1676]) ).
fof(f1676,plain,
( spl38_218
<=> sK28 = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_218])]) ).
fof(f1670,plain,
( spl38_217
| ~ spl38_14
| ~ spl38_93 ),
inference(avatar_split_clause,[],[f1110,f1043,f662,f1667]) ).
fof(f1644,plain,
spl38_216,
inference(avatar_split_clause,[],[f535,f1642]) ).
fof(f535,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f234]) ).
fof(f234,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f1640,plain,
spl38_215,
inference(avatar_split_clause,[],[f533,f1638]) ).
fof(f533,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,[],[f232]) ).
fof(f232,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,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1636,plain,
spl38_214,
inference(avatar_split_clause,[],[f519,f1634]) ).
fof(f519,plain,
! [X0,X1] :
( m1_subset_1(sK22(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
fof(f1632,plain,
spl38_213,
inference(avatar_split_clause,[],[f515,f1630]) ).
fof(f515,plain,
! [X0,X1] :
( r2_hidden(X1,a_1_0_waybel_0(X0))
| ~ sP7(X1,X0)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0,X1] :
( ( ( r2_hidden(X1,a_1_0_waybel_0(X0))
| ~ sP7(X1,X0) )
& ( sP7(X1,X0)
| ~ r2_hidden(X1,a_1_0_waybel_0(X0)) ) )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f287]) ).
fof(f287,plain,
! [X1,X0] :
( ( ( r2_hidden(X0,a_1_0_waybel_0(X1))
| ~ sP7(X0,X1) )
& ( sP7(X0,X1)
| ~ r2_hidden(X0,a_1_0_waybel_0(X1)) ) )
| ~ sP8(X1,X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f1626,plain,
spl38_212,
inference(avatar_split_clause,[],[f514,f1624]) ).
fof(f514,plain,
! [X0,X1] :
( sP7(X1,X0)
| ~ r2_hidden(X1,a_1_0_waybel_0(X0))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1622,plain,
spl38_211,
inference(avatar_split_clause,[],[f510,f1620]) ).
fof(f510,plain,
! [X0,X1] :
( m1_subset_1(sK21(X0,X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1618,plain,
spl38_210,
inference(avatar_split_clause,[],[f506,f1616]) ).
fof(f506,plain,
! [X0,X1] :
( r2_hidden(X1,a_1_1_waybel_0(X0))
| ~ sP5(X1,X0)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0,X1] :
( ( ( r2_hidden(X1,a_1_1_waybel_0(X0))
| ~ sP5(X1,X0) )
& ( sP5(X1,X0)
| ~ r2_hidden(X1,a_1_1_waybel_0(X0)) ) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X1,X0] :
( ( ( r2_hidden(X0,a_1_1_waybel_0(X1))
| ~ sP5(X0,X1) )
& ( sP5(X0,X1)
| ~ r2_hidden(X0,a_1_1_waybel_0(X1)) ) )
| ~ sP6(X1,X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f1614,plain,
spl38_209,
inference(avatar_split_clause,[],[f505,f1612]) ).
fof(f505,plain,
! [X0,X1] :
( sP5(X1,X0)
| ~ r2_hidden(X1,a_1_1_waybel_0(X0))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f282]) ).
fof(f1610,plain,
spl38_208,
inference(avatar_split_clause,[],[f466,f1608]) ).
fof(f1608,plain,
( spl38_208
<=> ! [X0] :
( v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_208])]) ).
fof(f466,plain,
! [X0] :
( v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ( v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0) )
=> ( v4_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel_8) ).
fof(f1606,plain,
spl38_207,
inference(avatar_split_clause,[],[f465,f1604]) ).
fof(f465,plain,
! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f1602,plain,
spl38_206,
inference(avatar_split_clause,[],[f462,f1600]) ).
fof(f1600,plain,
( spl38_206
<=> ! [X0] :
( v2_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_206])]) ).
fof(f462,plain,
! [X0] :
( v2_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ( v2_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ( v2_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0) )
=> ( v2_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_waybel_8) ).
fof(f1598,plain,
spl38_205,
inference(avatar_split_clause,[],[f461,f1596]) ).
fof(f461,plain,
! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f1594,plain,
spl38_204,
inference(avatar_split_clause,[],[f460,f1592]) ).
fof(f1592,plain,
( spl38_204
<=> ! [X0] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_204])]) ).
fof(f460,plain,
! [X0] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f1590,plain,
spl38_203,
inference(avatar_split_clause,[],[f456,f1588]) ).
fof(f1588,plain,
( spl38_203
<=> ! [X0] :
( v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_203])]) ).
fof(f456,plain,
! [X0] :
( v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ( v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ( v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0) )
=> ( v3_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel_8) ).
fof(f1586,plain,
spl38_202,
inference(avatar_split_clause,[],[f455,f1584]) ).
fof(f455,plain,
! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f1582,plain,
spl38_201,
inference(avatar_split_clause,[],[f452,f1580]) ).
fof(f452,plain,
! [X0] :
( v1_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ( v1_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ( v1_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_lattice3(X0) )
=> ( v1_lattice3(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_waybel_8) ).
fof(f1578,plain,
spl38_200,
inference(avatar_split_clause,[],[f451,f1576]) ).
fof(f451,plain,
! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f1574,plain,
spl38_199,
inference(avatar_split_clause,[],[f450,f1572]) ).
fof(f1572,plain,
( spl38_199
<=> ! [X0] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_199])]) ).
fof(f450,plain,
! [X0] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f1570,plain,
spl38_198,
inference(avatar_split_clause,[],[f415,f1568]) ).
fof(f415,plain,
! [X0] :
( m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0] :
( ( v13_waybel_0(sK15(X0),X0)
& v12_waybel_0(sK15(X0),X0)
& ~ v1_xboole_0(sK15(X0))
& m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f161,f267]) ).
fof(f267,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v13_waybel_0(sK15(X0),X0)
& v12_waybel_0(sK15(X0),X0)
& ~ v1_xboole_0(sK15(X0))
& m1_subset_1(sK15(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc8_waybel_0) ).
fof(f1566,plain,
spl38_197,
inference(avatar_split_clause,[],[f414,f1564]) ).
fof(f414,plain,
! [X0] :
( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v1_orders_2(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
& ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_waybel_8) ).
fof(f1562,plain,
spl38_196,
inference(avatar_split_clause,[],[f413,f1560]) ).
fof(f1560,plain,
( spl38_196
<=> ! [X0] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_196])]) ).
fof(f413,plain,
! [X0] :
( ~ v3_struct_0(g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1558,plain,
spl38_195,
inference(avatar_split_clause,[],[f400,f1556]) ).
fof(f400,plain,
! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ( ~ v1_xboole_0(sK14(X0))
& m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f153,f264]) ).
fof(f264,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK14(X0))
& m1_subset_1(sK14(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f153,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,[],[f152]) ).
fof(f152,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,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f1554,plain,
spl38_194,
inference(avatar_split_clause,[],[f392,f1552]) ).
fof(f392,plain,
! [X0] :
( v2_yellow_0(X0)
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v24_waybel_0(X0)
| ~ v1_lattice3(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v24_waybel_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0) )
=> ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc9_waybel_0) ).
fof(f1550,plain,
spl38_193,
inference(avatar_split_clause,[],[f366,f1548]) ).
fof(f366,plain,
! [X0] :
( v25_waybel_0(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc10_waybel_0) ).
fof(f1546,plain,
( spl38_191
| ~ spl38_192
| ~ spl38_9
| ~ spl38_188 ),
inference(avatar_split_clause,[],[f1522,f1517,f637,f1543,f1540]) ).
fof(f1540,plain,
( spl38_191
<=> ! [X0] : ~ r2_hidden(X0,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_191])]) ).
fof(f1522,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))
| ~ r2_hidden(X0,sK10) )
| ~ spl38_9
| ~ spl38_188 ),
inference(resolution,[],[f1518,f639]) ).
fof(f1538,plain,
spl38_190,
inference(avatar_split_clause,[],[f365,f1536]) ).
fof(f365,plain,
! [X0] :
( v24_waybel_0(X0)
| ~ v3_lattice3(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1534,plain,
spl38_189,
inference(avatar_split_clause,[],[f362,f1532]) ).
fof(f1532,plain,
( spl38_189
<=> ! [X0] :
( v1_yellow_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_189])]) ).
fof(f362,plain,
! [X0] :
( v1_yellow_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( v1_yellow_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( v1_yellow_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ v25_waybel_0(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v25_waybel_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v1_yellow_0(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc11_waybel_0) ).
fof(f1519,plain,
spl38_188,
inference(avatar_split_clause,[],[f538,f1517]) ).
fof(f538,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f1515,plain,
spl38_187,
inference(avatar_split_clause,[],[f439,f1513]) ).
fof(f439,plain,
! [X0] :
( v1_funct_1(k4_relat_1(X0))
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ( v1_funct_1(k4_relat_1(X0))
& v1_relat_1(k4_relat_1(X0)) )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( v1_funct_1(k4_relat_1(X0))
& v1_relat_1(k4_relat_1(X0)) )
| ~ v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(k4_relat_1(X0))
& v1_relat_1(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_funct_1) ).
fof(f1511,plain,
spl38_186,
inference(avatar_split_clause,[],[f346,f1509]) ).
fof(f346,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( l1_orders_2(X0)
=> m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f1505,plain,
( spl38_185
| ~ spl38_14
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_180 ),
inference(avatar_split_clause,[],[f1500,f1426,f1096,f1043,f939,f662,f1502]) ).
fof(f1502,plain,
( spl38_185
<=> v1_relat_1(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_185])]) ).
fof(f1500,plain,
( v1_relat_1(sK28)
| ~ spl38_14
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_180 ),
inference(forward_demodulation,[],[f1499,f1110]) ).
fof(f1499,plain,
( v1_relat_1(k1_xboole_0)
| ~ spl38_70
| ~ spl38_93
| ~ spl38_106
| ~ spl38_180 ),
inference(forward_demodulation,[],[f1498,f1109]) ).
fof(f1498,plain,
( ! [X0,X1] : v1_relat_1(sK20(k2_zfmisc_1(X0,X1)))
| ~ spl38_106
| ~ spl38_180 ),
inference(resolution,[],[f1427,f1097]) ).
fof(f1492,plain,
( spl38_184
| ~ spl38_69
| ~ spl38_73 ),
inference(avatar_split_clause,[],[f1022,f951,f935,f1490]) ).
fof(f1490,plain,
( spl38_184
<=> ! [X0] : l1_struct_0(k2_yellow_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_184])]) ).
fof(f1022,plain,
( ! [X0] : l1_struct_0(k2_yellow_1(X0))
| ~ spl38_69
| ~ spl38_73 ),
inference(resolution,[],[f952,f936]) ).
fof(f1458,plain,
( spl38_183
| ~ spl38_70
| ~ spl38_72 ),
inference(avatar_split_clause,[],[f1019,f947,f939,f1456]) ).
fof(f1456,plain,
( spl38_183
<=> ! [X0] : v1_funct_1(sK20(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_183])]) ).
fof(f947,plain,
( spl38_72
<=> ! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_72])]) ).
fof(f1019,plain,
( ! [X0] : v1_funct_1(sK20(X0))
| ~ spl38_70
| ~ spl38_72 ),
inference(resolution,[],[f948,f940]) ).
fof(f948,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_funct_1(X0) )
| ~ spl38_72 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f1436,plain,
spl38_182,
inference(avatar_split_clause,[],[f537,f1434]) ).
fof(f537,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1432,plain,
spl38_181,
inference(avatar_split_clause,[],[f536,f1430]) ).
fof(f536,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f1428,plain,
spl38_180,
inference(avatar_split_clause,[],[f534,f1426]) ).
fof(f534,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1424,plain,
spl38_179,
inference(avatar_split_clause,[],[f520,f1422]) ).
fof(f1422,plain,
( spl38_179
<=> ! [X0,X1] :
( sK22(X0,X1) = X0
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_179])]) ).
fof(f520,plain,
! [X0,X1] :
( sK22(X0,X1) = X0
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
fof(f1420,plain,
spl38_178,
inference(avatar_split_clause,[],[f518,f1418]) ).
fof(f518,plain,
! [X0,X1] :
( v12_waybel_0(sK22(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
fof(f1416,plain,
spl38_177,
inference(avatar_split_clause,[],[f517,f1414]) ).
fof(f517,plain,
! [X0,X1] :
( v1_waybel_0(sK22(X0,X1),X1)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
fof(f1412,plain,
spl38_176,
inference(avatar_split_clause,[],[f511,f1410]) ).
fof(f1410,plain,
( spl38_176
<=> ! [X0,X1] :
( sK21(X0,X1) = X0
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_176])]) ).
fof(f511,plain,
! [X0,X1] :
( sK21(X0,X1) = X0
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1408,plain,
spl38_175,
inference(avatar_split_clause,[],[f509,f1406]) ).
fof(f509,plain,
! [X0,X1] :
( v13_waybel_0(sK21(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1404,plain,
spl38_174,
inference(avatar_split_clause,[],[f508,f1402]) ).
fof(f1402,plain,
( spl38_174
<=> ! [X0,X1] :
( v2_waybel_0(sK21(X0,X1),X1)
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_174])]) ).
fof(f508,plain,
! [X0,X1] :
( v2_waybel_0(sK21(X0,X1),X1)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1400,plain,
spl38_173,
inference(avatar_split_clause,[],[f504,f1398]) ).
fof(f1398,plain,
( spl38_173
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_173])]) ).
fof(f504,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f1396,plain,
spl38_172,
inference(avatar_split_clause,[],[f501,f1394]) ).
fof(f501,plain,
! [X0,X1] :
( l1_orders_2(g1_orders_2(X0,X1))
| ~ m1_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( ( l1_orders_2(g1_orders_2(X0,X1))
& v1_orders_2(g1_orders_2(X0,X1)) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ( l1_orders_2(g1_orders_2(X0,X1))
& v1_orders_2(g1_orders_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g1_orders_2) ).
fof(f1392,plain,
spl38_171,
inference(avatar_split_clause,[],[f500,f1390]) ).
fof(f500,plain,
! [X0,X1] :
( v1_orders_2(g1_orders_2(X0,X1))
| ~ m1_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f1388,plain,
spl38_170,
inference(avatar_split_clause,[],[f499,f1386]) ).
fof(f499,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f1384,plain,
spl38_169,
inference(avatar_split_clause,[],[f496,f1382]) ).
fof(f496,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0,X1] :
( m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( l1_orders_2(X0)
=> m1_subset_1(k1_yellow_0(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f1380,plain,
spl38_168,
inference(avatar_split_clause,[],[f474,f1378]) ).
fof(f474,plain,
! [X0] :
( m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ( v13_waybel_0(sK18(X0),X0)
& v12_waybel_0(sK18(X0),X0)
& v2_waybel_0(sK18(X0),X0)
& v1_waybel_0(sK18(X0),X0)
& ~ v1_xboole_0(sK18(X0))
& m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f273,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v13_waybel_0(sK18(X0),X0)
& v12_waybel_0(sK18(X0),X0)
& v2_waybel_0(sK18(X0),X0)
& v1_waybel_0(sK18(X0),X0)
& ~ v1_xboole_0(sK18(X0))
& m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f243]) ).
fof(f1376,plain,
spl38_167,
inference(avatar_split_clause,[],[f442,f1374]) ).
fof(f442,plain,
! [X0] :
( v2_funct_1(X0)
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
| ~ v1_funct_1(X0)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_funct_1) ).
fof(f1372,plain,
spl38_166,
inference(avatar_split_clause,[],[f418,f1370]) ).
fof(f418,plain,
! [X0] :
( v13_waybel_0(sK15(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1368,plain,
spl38_165,
inference(avatar_split_clause,[],[f417,f1366]) ).
fof(f417,plain,
! [X0] :
( v12_waybel_0(sK15(X0),X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1364,plain,
spl38_164,
inference(avatar_split_clause,[],[f410,f1362]) ).
fof(f410,plain,
! [X0] :
( sP2(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( sP2(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f155,f241]) ).
fof(f241,plain,
! [X0] :
( ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f155,plain,
! [X0] :
( ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_yellow_7) ).
fof(f1360,plain,
spl38_163,
inference(avatar_split_clause,[],[f396,f1358]) ).
fof(f396,plain,
! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ( v2_waybel_0(sK13(X0),X0)
& v1_waybel_0(sK13(X0),X0)
& m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f149,f262]) ).
fof(f262,plain,
! [X0] :
( ? [X1] :
( v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v2_waybel_0(sK13(X0),X0)
& v1_waybel_0(sK13(X0),X0)
& m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( l1_orders_2(X0)
=> ? [X1] :
( v2_waybel_0(X1,X0)
& v1_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_waybel_0) ).
fof(f1356,plain,
spl38_162,
inference(avatar_split_clause,[],[f393,f1354]) ).
fof(f393,plain,
! [X0] :
( m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ( v13_waybel_0(sK12(X0),X0)
& v12_waybel_0(sK12(X0),X0)
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f148,f260]) ).
fof(f260,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v13_waybel_0(sK12(X0),X0)
& v12_waybel_0(sK12(X0),X0)
& m1_subset_1(sK12(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( l1_orders_2(X0)
=> ? [X1] :
( v13_waybel_0(X1,X0)
& v12_waybel_0(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc7_waybel_0) ).
fof(f1352,plain,
spl38_161,
inference(avatar_split_clause,[],[f388,f1350]) ).
fof(f388,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ v2_yellow_0(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ v2_yellow_0(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ v2_yellow_0(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v2_yellow_0(X0)
& v1_yellow_0(X0) )
=> v3_yellow_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_yellow_0) ).
fof(f1348,plain,
spl38_160,
inference(avatar_split_clause,[],[f359,f1346]) ).
fof(f359,plain,
! [X0] :
( v2_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_yellow_0) ).
fof(f1344,plain,
spl38_159,
inference(avatar_split_clause,[],[f358,f1342]) ).
fof(f358,plain,
! [X0] :
( v1_lattice3(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f1340,plain,
spl38_158,
inference(avatar_split_clause,[],[f356,f1338]) ).
fof(f356,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( v3_yellow_0(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( v3_yellow_0(X0)
& ~ v3_struct_0(X0) )
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v3_yellow_0(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_yellow_0) ).
fof(f1324,plain,
spl38_157,
inference(avatar_split_clause,[],[f526,f1322]) ).
fof(f526,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f1320,plain,
spl38_156,
inference(avatar_split_clause,[],[f525,f1318]) ).
fof(f525,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f101]) ).
fof(f101,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f1316,plain,
spl38_155,
inference(avatar_split_clause,[],[f516,f1314]) ).
fof(f1314,plain,
( spl38_155
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_155])]) ).
fof(f516,plain,
! [X0,X1] :
( ~ v1_xboole_0(sK22(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f292]) ).
fof(f1312,plain,
spl38_154,
inference(avatar_split_clause,[],[f507,f1310]) ).
fof(f1310,plain,
( spl38_154
<=> ! [X0,X1] :
( ~ v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_154])]) ).
fof(f507,plain,
! [X0,X1] :
( ~ v1_xboole_0(sK21(X0,X1))
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1308,plain,
spl38_153,
inference(avatar_split_clause,[],[f468,f1306]) ).
fof(f468,plain,
! [X0] :
( v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0) )
=> ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f1304,plain,
spl38_152,
inference(avatar_split_clause,[],[f464,f1302]) ).
fof(f464,plain,
! [X0] :
( v4_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0) )
=> ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f1300,plain,
spl38_151,
inference(avatar_split_clause,[],[f459,f1298]) ).
fof(f459,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0) )
=> ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f1296,plain,
spl38_150,
inference(avatar_split_clause,[],[f457,f1294]) ).
fof(f1294,plain,
( spl38_150
<=> ! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_150])]) ).
fof(f457,plain,
! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f1292,plain,
spl38_149,
inference(avatar_split_clause,[],[f454,f1290]) ).
fof(f454,plain,
! [X0] :
( v3_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0) )
=> ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f1288,plain,
spl38_148,
inference(avatar_split_clause,[],[f449,f1286]) ).
fof(f449,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( v2_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( v2_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_lattice3(X0) )
=> ( v2_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_yellow_7) ).
fof(f1284,plain,
spl38_147,
inference(avatar_split_clause,[],[f447,f1282]) ).
fof(f1282,plain,
( spl38_147
<=> ! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_147])]) ).
fof(f447,plain,
! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_lattice3(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1280,plain,
spl38_146,
inference(avatar_split_clause,[],[f446,f1278]) ).
fof(f446,plain,
! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(flattening,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_yellow_0(X0) )
=> ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(f1276,plain,
spl38_145,
inference(avatar_split_clause,[],[f444,f1274]) ).
fof(f1274,plain,
( spl38_145
<=> ! [X0] :
( v2_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_145])]) ).
fof(f444,plain,
! [X0] :
( v2_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ( v2_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0) ),
inference(flattening,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( v2_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_yellow_0(X0) )
=> ( v2_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_yellow_7) ).
fof(f1272,plain,
spl38_144,
inference(avatar_split_clause,[],[f416,f1270]) ).
fof(f1270,plain,
( spl38_144
<=> ! [X0] :
( ~ v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_144])]) ).
fof(f416,plain,
! [X0] :
( ~ v1_xboole_0(sK15(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f1268,plain,
spl38_143,
inference(avatar_split_clause,[],[f411,f1266]) ).
fof(f1266,plain,
( spl38_143
<=> ! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_143])]) ).
fof(f411,plain,
! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice3) ).
fof(f1264,plain,
spl38_142,
inference(avatar_split_clause,[],[f401,f1262]) ).
fof(f1262,plain,
( spl38_142
<=> ! [X0] :
( ~ v1_xboole_0(sK14(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_142])]) ).
fof(f401,plain,
! [X0] :
( ~ v1_xboole_0(sK14(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f1260,plain,
spl38_141,
inference(avatar_split_clause,[],[f399,f1258]) ).
fof(f399,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f1256,plain,
spl38_140,
inference(avatar_split_clause,[],[f342,f1254]) ).
fof(f342,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f1252,plain,
spl38_139,
inference(avatar_split_clause,[],[f339,f1250]) ).
fof(f339,plain,
! [X0] :
( m1_subset_1(sK11(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ( ~ v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f113,f256]) ).
fof(f256,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f1248,plain,
( spl38_138
| ~ spl38_53
| ~ spl38_73 ),
inference(avatar_split_clause,[],[f1028,f951,f857,f1245]) ).
fof(f1245,plain,
( spl38_138
<=> l1_struct_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_138])]) ).
fof(f1028,plain,
( l1_struct_0(sK37)
| ~ spl38_53
| ~ spl38_73 ),
inference(resolution,[],[f952,f859]) ).
fof(f1236,plain,
( spl38_137
| ~ spl38_44
| ~ spl38_73 ),
inference(avatar_split_clause,[],[f1027,f951,f812,f1233]) ).
fof(f1233,plain,
( spl38_137
<=> l1_struct_0(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_137])]) ).
fof(f1027,plain,
( l1_struct_0(sK36)
| ~ spl38_44
| ~ spl38_73 ),
inference(resolution,[],[f952,f814]) ).
fof(f1228,plain,
spl38_136,
inference(avatar_split_clause,[],[f529,f1226]) ).
fof(f529,plain,
! [X0,X1] : m2_relset_1(sK25(X0,X1),X0,X1),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0,X1] : m2_relset_1(sK25(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f46,f298]) ).
fof(f298,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK25(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f46,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f1224,plain,
spl38_135,
inference(avatar_split_clause,[],[f528,f1222]) ).
fof(f528,plain,
! [X0,X1] : m1_relset_1(sK24(X0,X1),X0,X1),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0,X1] : m1_relset_1(sK24(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f44,f296]) ).
fof(f296,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK24(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f1220,plain,
spl38_134,
inference(avatar_split_clause,[],[f498,f1218]) ).
fof(f498,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f1216,plain,
spl38_133,
inference(avatar_split_clause,[],[f497,f1214]) ).
fof(f497,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f1212,plain,
spl38_132,
inference(avatar_split_clause,[],[f490,f1210]) ).
fof(f490,plain,
! [X0] :
( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f1208,plain,
spl38_131,
inference(avatar_split_clause,[],[f489,f1206]) ).
fof(f489,plain,
! [X0] :
( v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1204,plain,
spl38_130,
inference(avatar_split_clause,[],[f488,f1202]) ).
fof(f488,plain,
! [X0] :
( v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1200,plain,
spl38_129,
inference(avatar_split_clause,[],[f487,f1198]) ).
fof(f487,plain,
! [X0] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1196,plain,
spl38_128,
inference(avatar_split_clause,[],[f486,f1194]) ).
fof(f486,plain,
! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1192,plain,
( spl38_127
| ~ spl38_37
| ~ spl38_73 ),
inference(avatar_split_clause,[],[f1026,f951,f777,f1189]) ).
fof(f1189,plain,
( spl38_127
<=> l1_struct_0(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_127])]) ).
fof(f1026,plain,
( l1_struct_0(sK35)
| ~ spl38_37
| ~ spl38_73 ),
inference(resolution,[],[f952,f779]) ).
fof(f1187,plain,
spl38_126,
inference(avatar_split_clause,[],[f485,f1185]) ).
fof(f485,plain,
! [X0] :
( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1183,plain,
spl38_125,
inference(avatar_split_clause,[],[f484,f1181]) ).
fof(f484,plain,
! [X0] :
( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1179,plain,
spl38_124,
inference(avatar_split_clause,[],[f483,f1177]) ).
fof(f483,plain,
! [X0] :
( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1175,plain,
spl38_123,
inference(avatar_split_clause,[],[f481,f1173]) ).
fof(f481,plain,
! [X0] :
( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f1171,plain,
spl38_122,
inference(avatar_split_clause,[],[f479,f1169]) ).
fof(f479,plain,
! [X0] :
( v13_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f1167,plain,
spl38_121,
inference(avatar_split_clause,[],[f478,f1165]) ).
fof(f478,plain,
! [X0] :
( v12_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f1163,plain,
spl38_120,
inference(avatar_split_clause,[],[f477,f1161]) ).
fof(f1161,plain,
( spl38_120
<=> ! [X0] :
( v2_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_120])]) ).
fof(f477,plain,
! [X0] :
( v2_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f1159,plain,
spl38_119,
inference(avatar_split_clause,[],[f476,f1157]) ).
fof(f476,plain,
! [X0] :
( v1_waybel_0(sK18(X0),X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f1155,plain,
spl38_118,
inference(avatar_split_clause,[],[f398,f1153]) ).
fof(f1153,plain,
( spl38_118
<=> ! [X0] :
( v2_waybel_0(sK13(X0),X0)
| ~ l1_orders_2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_118])]) ).
fof(f398,plain,
! [X0] :
( v2_waybel_0(sK13(X0),X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1151,plain,
spl38_117,
inference(avatar_split_clause,[],[f397,f1149]) ).
fof(f397,plain,
! [X0] :
( v1_waybel_0(sK13(X0),X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1147,plain,
( spl38_116
| ~ spl38_26
| ~ spl38_73 ),
inference(avatar_split_clause,[],[f1025,f951,f722,f1144]) ).
fof(f1144,plain,
( spl38_116
<=> l1_struct_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_116])]) ).
fof(f1025,plain,
( l1_struct_0(sK34)
| ~ spl38_26
| ~ spl38_73 ),
inference(resolution,[],[f952,f724]) ).
fof(f1142,plain,
spl38_115,
inference(avatar_split_clause,[],[f395,f1140]) ).
fof(f395,plain,
! [X0] :
( v13_waybel_0(sK12(X0),X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1138,plain,
spl38_114,
inference(avatar_split_clause,[],[f394,f1136]) ).
fof(f394,plain,
! [X0] :
( v12_waybel_0(sK12(X0),X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f1134,plain,
spl38_113,
inference(avatar_split_clause,[],[f353,f1132]) ).
fof(f353,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f1130,plain,
spl38_112,
inference(avatar_split_clause,[],[f352,f1128]) ).
fof(f352,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v1_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(f1126,plain,
spl38_111,
inference(avatar_split_clause,[],[f351,f1124]) ).
fof(f351,plain,
! [X0] :
( v2_yellow_0(X0)
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_yellow_0(X0) )
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_yellow_0(X0) )
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v3_yellow_0(X0)
=> ( v2_yellow_0(X0)
& v1_yellow_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_yellow_0) ).
fof(f1122,plain,
spl38_110,
inference(avatar_split_clause,[],[f350,f1120]) ).
fof(f350,plain,
! [X0] :
( v1_yellow_0(X0)
| ~ v3_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f1118,plain,
( spl38_109
| ~ spl38_15
| ~ spl38_73 ),
inference(avatar_split_clause,[],[f1024,f951,f667,f1115]) ).
fof(f1115,plain,
( spl38_109
<=> l1_struct_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_109])]) ).
fof(f1024,plain,
( l1_struct_0(sK29)
| ~ spl38_15
| ~ spl38_73 ),
inference(resolution,[],[f952,f669]) ).
fof(f1107,plain,
( spl38_108
| ~ spl38_14
| ~ spl38_72 ),
inference(avatar_split_clause,[],[f1020,f947,f662,f1104]) ).
fof(f1020,plain,
( v1_funct_1(sK28)
| ~ spl38_14
| ~ spl38_72 ),
inference(resolution,[],[f948,f664]) ).
fof(f1102,plain,
spl38_107,
inference(avatar_split_clause,[],[f527,f1100]) ).
fof(f527,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f1098,plain,
spl38_106,
inference(avatar_split_clause,[],[f493,f1096]) ).
fof(f493,plain,
! [X0] : m1_subset_1(sK20(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( v1_xboole_0(sK20(X0))
& m1_subset_1(sK20(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f86,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK20(X0))
& m1_subset_1(sK20(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f1094,plain,
spl38_105,
inference(avatar_split_clause,[],[f475,f1092]) ).
fof(f1092,plain,
( spl38_105
<=> ! [X0] :
( ~ v1_xboole_0(sK18(X0))
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_105])]) ).
fof(f475,plain,
! [X0] :
( ~ v1_xboole_0(sK18(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f1090,plain,
spl38_104,
inference(avatar_split_clause,[],[f409,f1088]) ).
fof(f1088,plain,
( spl38_104
<=> ! [X0] :
( v3_yellow_0(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_104])]) ).
fof(f409,plain,
! [X0] :
( v3_yellow_0(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ( v3_yellow_0(k7_lattice3(X0))
& v2_yellow_0(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0))
& v3_lattice3(k7_lattice3(X0))
& v2_lattice3(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f241]) ).
fof(f1086,plain,
spl38_103,
inference(avatar_split_clause,[],[f408,f1084]) ).
fof(f1084,plain,
( spl38_103
<=> ! [X0] :
( v2_yellow_0(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_103])]) ).
fof(f408,plain,
! [X0] :
( v2_yellow_0(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1082,plain,
spl38_102,
inference(avatar_split_clause,[],[f407,f1080]) ).
fof(f407,plain,
! [X0] :
( v1_yellow_0(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1078,plain,
spl38_101,
inference(avatar_split_clause,[],[f406,f1076]) ).
fof(f406,plain,
! [X0] :
( v3_lattice3(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1074,plain,
spl38_100,
inference(avatar_split_clause,[],[f405,f1072]) ).
fof(f405,plain,
! [X0] :
( v2_lattice3(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1070,plain,
( spl38_99
| ~ spl38_11
| ~ spl38_72 ),
inference(avatar_split_clause,[],[f1018,f947,f647,f1067]) ).
fof(f1067,plain,
( spl38_99
<=> v1_funct_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_99])]) ).
fof(f1018,plain,
( v1_funct_1(k1_xboole_0)
| ~ spl38_11
| ~ spl38_72 ),
inference(resolution,[],[f948,f649]) ).
fof(f1065,plain,
spl38_98,
inference(avatar_split_clause,[],[f404,f1063]) ).
fof(f404,plain,
! [X0] :
( v1_lattice3(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1061,plain,
spl38_97,
inference(avatar_split_clause,[],[f403,f1059]) ).
fof(f403,plain,
! [X0] :
( v1_orders_2(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1057,plain,
spl38_96,
inference(avatar_split_clause,[],[f402,f1055]) ).
fof(f1055,plain,
( spl38_96
<=> ! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_96])]) ).
fof(f402,plain,
! [X0] :
( ~ v3_struct_0(k7_lattice3(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1053,plain,
spl38_95,
inference(avatar_split_clause,[],[f349,f1051]) ).
fof(f349,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f1049,plain,
spl38_94,
inference(avatar_split_clause,[],[f348,f1047]) ).
fof(f348,plain,
! [X0] :
( v1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f1045,plain,
spl38_93,
inference(avatar_split_clause,[],[f344,f1043]) ).
fof(f344,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f1041,plain,
spl38_92,
inference(avatar_split_clause,[],[f341,f1039]) ).
fof(f341,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( v1_relat_1(X0)
=> v1_relat_1(k4_relat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f1037,plain,
spl38_91,
inference(avatar_split_clause,[],[f340,f1035]) ).
fof(f1035,plain,
( spl38_91
<=> ! [X0] :
( ~ v1_xboole_0(sK11(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_91])]) ).
fof(f340,plain,
! [X0] :
( ~ v1_xboole_0(sK11(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f1033,plain,
( spl38_90
| ~ spl38_6
| ~ spl38_73 ),
inference(avatar_split_clause,[],[f1023,f951,f622,f1030]) ).
fof(f1030,plain,
( spl38_90
<=> l1_struct_0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_90])]) ).
fof(f1023,plain,
( l1_struct_0(sK9)
| ~ spl38_6
| ~ spl38_73 ),
inference(resolution,[],[f952,f624]) ).
fof(f1017,plain,
spl38_89,
inference(avatar_split_clause,[],[f492,f1015]) ).
fof(f492,plain,
! [X0] : m1_subset_1(sK19(X0),X0),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] : m1_subset_1(sK19(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f45,f277]) ).
fof(f277,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK19(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f1013,plain,
spl38_88,
inference(avatar_split_clause,[],[f386,f1011]) ).
fof(f1011,plain,
( spl38_88
<=> ! [X0] :
( v2_yellow_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_88])]) ).
fof(f386,plain,
! [X0] :
( v2_yellow_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( v2_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f1009,plain,
spl38_87,
inference(avatar_split_clause,[],[f385,f1007]) ).
fof(f1007,plain,
( spl38_87
<=> ! [X0] :
( v1_lattice3(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_87])]) ).
fof(f385,plain,
! [X0] :
( v1_lattice3(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f1005,plain,
spl38_86,
inference(avatar_split_clause,[],[f384,f1003]) ).
fof(f1003,plain,
( spl38_86
<=> ! [X0] :
( v4_orders_2(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_86])]) ).
fof(f384,plain,
! [X0] :
( v4_orders_2(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f1001,plain,
spl38_85,
inference(avatar_split_clause,[],[f383,f999]) ).
fof(f999,plain,
( spl38_85
<=> ! [X0] :
( v2_orders_2(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_85])]) ).
fof(f383,plain,
! [X0] :
( v2_orders_2(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f997,plain,
spl38_84,
inference(avatar_split_clause,[],[f382,f995]) ).
fof(f995,plain,
( spl38_84
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_84])]) ).
fof(f382,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f993,plain,
spl38_83,
inference(avatar_split_clause,[],[f376,f991]) ).
fof(f991,plain,
( spl38_83
<=> ! [X0] :
( v3_yellow_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_83])]) ).
fof(f376,plain,
! [X0] :
( v3_yellow_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f989,plain,
spl38_82,
inference(avatar_split_clause,[],[f375,f987]) ).
fof(f987,plain,
( spl38_82
<=> ! [X0] :
( v2_yellow_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_82])]) ).
fof(f375,plain,
! [X0] :
( v2_yellow_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f985,plain,
spl38_81,
inference(avatar_split_clause,[],[f374,f983]) ).
fof(f983,plain,
( spl38_81
<=> ! [X0] :
( v1_yellow_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_81])]) ).
fof(f374,plain,
! [X0] :
( v1_yellow_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f981,plain,
spl38_80,
inference(avatar_split_clause,[],[f373,f979]) ).
fof(f979,plain,
( spl38_80
<=> ! [X0] :
( v3_lattice3(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_80])]) ).
fof(f373,plain,
! [X0] :
( v3_lattice3(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f977,plain,
spl38_79,
inference(avatar_split_clause,[],[f372,f975]) ).
fof(f975,plain,
( spl38_79
<=> ! [X0] :
( v2_lattice3(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_79])]) ).
fof(f372,plain,
! [X0] :
( v2_lattice3(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f973,plain,
spl38_78,
inference(avatar_split_clause,[],[f371,f971]) ).
fof(f971,plain,
( spl38_78
<=> ! [X0] :
( v1_lattice3(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_78])]) ).
fof(f371,plain,
! [X0] :
( v1_lattice3(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f969,plain,
spl38_77,
inference(avatar_split_clause,[],[f370,f967]) ).
fof(f967,plain,
( spl38_77
<=> ! [X0] :
( v4_orders_2(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_77])]) ).
fof(f370,plain,
! [X0] :
( v4_orders_2(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f965,plain,
spl38_76,
inference(avatar_split_clause,[],[f369,f963]) ).
fof(f963,plain,
( spl38_76
<=> ! [X0] :
( v3_orders_2(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_76])]) ).
fof(f369,plain,
! [X0] :
( v3_orders_2(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f961,plain,
spl38_75,
inference(avatar_split_clause,[],[f368,f959]) ).
fof(f959,plain,
( spl38_75
<=> ! [X0] :
( v2_orders_2(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_75])]) ).
fof(f368,plain,
! [X0] :
( v2_orders_2(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f957,plain,
spl38_74,
inference(avatar_split_clause,[],[f367,f955]) ).
fof(f955,plain,
( spl38_74
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_74])]) ).
fof(f367,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f953,plain,
spl38_73,
inference(avatar_split_clause,[],[f345,f951]) ).
fof(f345,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f949,plain,
spl38_72,
inference(avatar_split_clause,[],[f343,f947]) ).
fof(f343,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( v1_funct_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_funct_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f945,plain,
spl38_71,
inference(avatar_split_clause,[],[f495,f943]) ).
fof(f495,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f97]) ).
fof(f97,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f941,plain,
spl38_70,
inference(avatar_split_clause,[],[f494,f939]) ).
fof(f494,plain,
! [X0] : v1_xboole_0(sK20(X0)),
inference(cnf_transformation,[],[f280]) ).
fof(f937,plain,
spl38_69,
inference(avatar_split_clause,[],[f338,f935]) ).
fof(f338,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( l1_orders_2(k2_yellow_1(X0))
& v1_orders_2(k2_yellow_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f933,plain,
spl38_68,
inference(avatar_split_clause,[],[f337,f931]) ).
fof(f337,plain,
! [X0] : v1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f929,plain,
spl38_67,
inference(avatar_split_clause,[],[f336,f927]) ).
fof(f927,plain,
( spl38_67
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_67])]) ).
fof(f336,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f925,plain,
spl38_66,
inference(avatar_split_clause,[],[f593,f922]) ).
fof(f593,plain,
v25_waybel_0(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
( v25_waybel_0(sK37)
& v24_waybel_0(sK37)
& v3_yellow_0(sK37)
& v2_yellow_0(sK37)
& v1_yellow_0(sK37)
& v3_lattice3(sK37)
& v2_lattice3(sK37)
& v1_lattice3(sK37)
& v4_orders_2(sK37)
& v3_orders_2(sK37)
& v2_orders_2(sK37)
& v1_orders_2(sK37)
& ~ v3_struct_0(sK37)
& l1_orders_2(sK37) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f78,f323]) ).
fof(f323,plain,
( ? [X0] :
( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v25_waybel_0(sK37)
& v24_waybel_0(sK37)
& v3_yellow_0(sK37)
& v2_yellow_0(sK37)
& v1_yellow_0(sK37)
& v3_lattice3(sK37)
& v2_lattice3(sK37)
& v1_lattice3(sK37)
& v4_orders_2(sK37)
& v3_orders_2(sK37)
& v2_orders_2(sK37)
& v1_orders_2(sK37)
& ~ v3_struct_0(sK37)
& l1_orders_2(sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f78,axiom,
? [X0] :
( v25_waybel_0(X0)
& v24_waybel_0(X0)
& v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc13_waybel_0) ).
fof(f920,plain,
spl38_65,
inference(avatar_split_clause,[],[f592,f917]) ).
fof(f592,plain,
v24_waybel_0(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f915,plain,
spl38_64,
inference(avatar_split_clause,[],[f591,f912]) ).
fof(f912,plain,
( spl38_64
<=> v3_yellow_0(sK37) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_64])]) ).
fof(f591,plain,
v3_yellow_0(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f910,plain,
spl38_63,
inference(avatar_split_clause,[],[f590,f907]) ).
fof(f590,plain,
v2_yellow_0(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f905,plain,
spl38_62,
inference(avatar_split_clause,[],[f589,f902]) ).
fof(f589,plain,
v1_yellow_0(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f900,plain,
spl38_61,
inference(avatar_split_clause,[],[f588,f897]) ).
fof(f588,plain,
v3_lattice3(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f895,plain,
spl38_60,
inference(avatar_split_clause,[],[f587,f892]) ).
fof(f587,plain,
v2_lattice3(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f890,plain,
spl38_59,
inference(avatar_split_clause,[],[f586,f887]) ).
fof(f586,plain,
v1_lattice3(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f885,plain,
spl38_58,
inference(avatar_split_clause,[],[f585,f882]) ).
fof(f585,plain,
v4_orders_2(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f880,plain,
spl38_57,
inference(avatar_split_clause,[],[f584,f877]) ).
fof(f584,plain,
v3_orders_2(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f875,plain,
spl38_56,
inference(avatar_split_clause,[],[f583,f872]) ).
fof(f583,plain,
v2_orders_2(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f870,plain,
spl38_55,
inference(avatar_split_clause,[],[f582,f867]) ).
fof(f582,plain,
v1_orders_2(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f865,plain,
~ spl38_54,
inference(avatar_split_clause,[],[f581,f862]) ).
fof(f581,plain,
~ v3_struct_0(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f860,plain,
spl38_53,
inference(avatar_split_clause,[],[f580,f857]) ).
fof(f580,plain,
l1_orders_2(sK37),
inference(cnf_transformation,[],[f324]) ).
fof(f855,plain,
spl38_52,
inference(avatar_split_clause,[],[f579,f852]) ).
fof(f579,plain,
v3_lattice3(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
( v3_lattice3(sK36)
& v2_lattice3(sK36)
& v1_lattice3(sK36)
& v4_orders_2(sK36)
& v3_orders_2(sK36)
& v2_orders_2(sK36)
& v1_orders_2(sK36)
& ~ v3_struct_0(sK36)
& l1_orders_2(sK36) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f85,f321]) ).
fof(f321,plain,
( ? [X0] :
( v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v3_lattice3(sK36)
& v2_lattice3(sK36)
& v1_lattice3(sK36)
& v4_orders_2(sK36)
& v3_orders_2(sK36)
& v2_orders_2(sK36)
& v1_orders_2(sK36)
& ~ v3_struct_0(sK36)
& l1_orders_2(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f85,axiom,
? [X0] :
( v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_lattice3) ).
fof(f850,plain,
spl38_51,
inference(avatar_split_clause,[],[f578,f847]) ).
fof(f578,plain,
v2_lattice3(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f845,plain,
spl38_50,
inference(avatar_split_clause,[],[f577,f842]) ).
fof(f577,plain,
v1_lattice3(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f840,plain,
spl38_49,
inference(avatar_split_clause,[],[f576,f837]) ).
fof(f576,plain,
v4_orders_2(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f835,plain,
spl38_48,
inference(avatar_split_clause,[],[f575,f832]) ).
fof(f575,plain,
v3_orders_2(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f830,plain,
spl38_47,
inference(avatar_split_clause,[],[f574,f827]) ).
fof(f574,plain,
v2_orders_2(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f825,plain,
spl38_46,
inference(avatar_split_clause,[],[f573,f822]) ).
fof(f573,plain,
v1_orders_2(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f820,plain,
~ spl38_45,
inference(avatar_split_clause,[],[f572,f817]) ).
fof(f572,plain,
~ v3_struct_0(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f815,plain,
spl38_44,
inference(avatar_split_clause,[],[f571,f812]) ).
fof(f571,plain,
l1_orders_2(sK36),
inference(cnf_transformation,[],[f322]) ).
fof(f810,plain,
spl38_43,
inference(avatar_split_clause,[],[f570,f807]) ).
fof(f570,plain,
v3_lattice3(sK35),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
( v3_lattice3(sK35)
& v4_orders_2(sK35)
& v3_orders_2(sK35)
& v2_orders_2(sK35)
& v1_orders_2(sK35)
& ~ v3_struct_0(sK35)
& l1_orders_2(sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f80,f319]) ).
fof(f319,plain,
( ? [X0] :
( v3_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v3_lattice3(sK35)
& v4_orders_2(sK35)
& v3_orders_2(sK35)
& v2_orders_2(sK35)
& v1_orders_2(sK35)
& ~ v3_struct_0(sK35)
& l1_orders_2(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f80,axiom,
? [X0] :
( v3_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_lattice3) ).
fof(f805,plain,
spl38_42,
inference(avatar_split_clause,[],[f569,f802]) ).
fof(f569,plain,
v4_orders_2(sK35),
inference(cnf_transformation,[],[f320]) ).
fof(f800,plain,
spl38_41,
inference(avatar_split_clause,[],[f568,f797]) ).
fof(f568,plain,
v3_orders_2(sK35),
inference(cnf_transformation,[],[f320]) ).
fof(f795,plain,
spl38_40,
inference(avatar_split_clause,[],[f567,f792]) ).
fof(f567,plain,
v2_orders_2(sK35),
inference(cnf_transformation,[],[f320]) ).
fof(f790,plain,
spl38_39,
inference(avatar_split_clause,[],[f566,f787]) ).
fof(f566,plain,
v1_orders_2(sK35),
inference(cnf_transformation,[],[f320]) ).
fof(f785,plain,
~ spl38_38,
inference(avatar_split_clause,[],[f565,f782]) ).
fof(f565,plain,
~ v3_struct_0(sK35),
inference(cnf_transformation,[],[f320]) ).
fof(f780,plain,
spl38_37,
inference(avatar_split_clause,[],[f564,f777]) ).
fof(f564,plain,
l1_orders_2(sK35),
inference(cnf_transformation,[],[f320]) ).
fof(f775,plain,
spl38_36,
inference(avatar_split_clause,[],[f563,f772]) ).
fof(f772,plain,
( spl38_36
<=> v3_yellow_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_36])]) ).
fof(f563,plain,
v3_yellow_0(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
( v3_yellow_0(sK34)
& v2_yellow_0(sK34)
& v1_yellow_0(sK34)
& v3_lattice3(sK34)
& v2_lattice3(sK34)
& v1_lattice3(sK34)
& v4_orders_2(sK34)
& v3_orders_2(sK34)
& v2_orders_2(sK34)
& ~ v3_struct_0(sK34)
& l1_orders_2(sK34) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f88,f317]) ).
fof(f317,plain,
( ? [X0] :
( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ( v3_yellow_0(sK34)
& v2_yellow_0(sK34)
& v1_yellow_0(sK34)
& v3_lattice3(sK34)
& v2_lattice3(sK34)
& v1_lattice3(sK34)
& v4_orders_2(sK34)
& v3_orders_2(sK34)
& v2_orders_2(sK34)
& ~ v3_struct_0(sK34)
& l1_orders_2(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f88,axiom,
? [X0] :
( v3_yellow_0(X0)
& v2_yellow_0(X0)
& v1_yellow_0(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0)
& l1_orders_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_yellow_0) ).
fof(f770,plain,
spl38_35,
inference(avatar_split_clause,[],[f562,f767]) ).
fof(f562,plain,
v2_yellow_0(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f765,plain,
spl38_34,
inference(avatar_split_clause,[],[f561,f762]) ).
fof(f561,plain,
v1_yellow_0(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f760,plain,
spl38_33,
inference(avatar_split_clause,[],[f560,f757]) ).
fof(f560,plain,
v3_lattice3(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f755,plain,
spl38_32,
inference(avatar_split_clause,[],[f559,f752]) ).
fof(f559,plain,
v2_lattice3(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f750,plain,
spl38_31,
inference(avatar_split_clause,[],[f558,f747]) ).
fof(f558,plain,
v1_lattice3(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f745,plain,
spl38_30,
inference(avatar_split_clause,[],[f557,f742]) ).
fof(f557,plain,
v4_orders_2(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f740,plain,
spl38_29,
inference(avatar_split_clause,[],[f556,f737]) ).
fof(f556,plain,
v3_orders_2(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f735,plain,
spl38_28,
inference(avatar_split_clause,[],[f555,f732]) ).
fof(f555,plain,
v2_orders_2(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f730,plain,
~ spl38_27,
inference(avatar_split_clause,[],[f554,f727]) ).
fof(f554,plain,
~ v3_struct_0(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f725,plain,
spl38_26,
inference(avatar_split_clause,[],[f553,f722]) ).
fof(f553,plain,
l1_orders_2(sK34),
inference(cnf_transformation,[],[f318]) ).
fof(f720,plain,
spl38_25,
inference(avatar_split_clause,[],[f552,f717]) ).
fof(f717,plain,
( spl38_25
<=> v1_funct_1(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_25])]) ).
fof(f552,plain,
v1_funct_1(sK33),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
( v1_funct_1(sK33)
& v1_xboole_0(sK33)
& v1_relat_1(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f84,f315]) ).
fof(f315,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK33)
& v1_xboole_0(sK33)
& v1_relat_1(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f84,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_xboole_0(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_funct_1) ).
fof(f715,plain,
spl38_24,
inference(avatar_split_clause,[],[f551,f712]) ).
fof(f551,plain,
v1_xboole_0(sK33),
inference(cnf_transformation,[],[f316]) ).
fof(f710,plain,
spl38_23,
inference(avatar_split_clause,[],[f550,f707]) ).
fof(f550,plain,
v1_relat_1(sK33),
inference(cnf_transformation,[],[f316]) ).
fof(f705,plain,
spl38_22,
inference(avatar_split_clause,[],[f549,f702]) ).
fof(f702,plain,
( spl38_22
<=> v2_funct_1(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_22])]) ).
fof(f549,plain,
v2_funct_1(sK32),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
( v2_funct_1(sK32)
& v1_funct_1(sK32)
& v1_relat_1(sK32) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f89,f313]) ).
fof(f313,plain,
( ? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v2_funct_1(sK32)
& v1_funct_1(sK32)
& v1_relat_1(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f89,axiom,
? [X0] :
( v2_funct_1(X0)
& v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_funct_1) ).
fof(f700,plain,
spl38_21,
inference(avatar_split_clause,[],[f548,f697]) ).
fof(f697,plain,
( spl38_21
<=> v1_funct_1(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_21])]) ).
fof(f548,plain,
v1_funct_1(sK32),
inference(cnf_transformation,[],[f314]) ).
fof(f695,plain,
spl38_20,
inference(avatar_split_clause,[],[f547,f692]) ).
fof(f547,plain,
v1_relat_1(sK32),
inference(cnf_transformation,[],[f314]) ).
fof(f690,plain,
spl38_19,
inference(avatar_split_clause,[],[f546,f687]) ).
fof(f546,plain,
v1_funct_1(sK31),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
( v1_funct_1(sK31)
& v1_relat_1(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f79,f311]) ).
fof(f311,plain,
( ? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) )
=> ( v1_funct_1(sK31)
& v1_relat_1(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f79,axiom,
? [X0] :
( v1_funct_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_funct_1) ).
fof(f685,plain,
spl38_18,
inference(avatar_split_clause,[],[f545,f682]) ).
fof(f545,plain,
v1_relat_1(sK31),
inference(cnf_transformation,[],[f312]) ).
fof(f680,plain,
~ spl38_17,
inference(avatar_split_clause,[],[f544,f677]) ).
fof(f677,plain,
( spl38_17
<=> v3_struct_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_17])]) ).
fof(f544,plain,
~ v3_struct_0(sK30),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
( ~ v3_struct_0(sK30)
& l1_struct_0(sK30) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f90,f309]) ).
fof(f309,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK30)
& l1_struct_0(sK30) ) ),
introduced(choice_axiom,[]) ).
fof(f90,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f675,plain,
spl38_16,
inference(avatar_split_clause,[],[f543,f672]) ).
fof(f672,plain,
( spl38_16
<=> l1_struct_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_16])]) ).
fof(f543,plain,
l1_struct_0(sK30),
inference(cnf_transformation,[],[f310]) ).
fof(f670,plain,
spl38_15,
inference(avatar_split_clause,[],[f542,f667]) ).
fof(f542,plain,
l1_orders_2(sK29),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
l1_orders_2(sK29),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f42,f307]) ).
fof(f307,plain,
( ? [X0] : l1_orders_2(X0)
=> l1_orders_2(sK29) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
? [X0] : l1_orders_2(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(f665,plain,
spl38_14,
inference(avatar_split_clause,[],[f541,f662]) ).
fof(f541,plain,
v1_xboole_0(sK28),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
v1_xboole_0(sK28),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f83,f305]) ).
fof(f305,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK28) ),
introduced(choice_axiom,[]) ).
fof(f83,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f660,plain,
spl38_13,
inference(avatar_split_clause,[],[f540,f657]) ).
fof(f657,plain,
( spl38_13
<=> l1_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_13])]) ).
fof(f540,plain,
l1_struct_0(sK27),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
l1_struct_0(sK27),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f43,f303]) ).
fof(f303,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK27) ),
introduced(choice_axiom,[]) ).
fof(f43,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f655,plain,
~ spl38_12,
inference(avatar_split_clause,[],[f539,f652]) ).
fof(f652,plain,
( spl38_12
<=> v1_xboole_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_12])]) ).
fof(f539,plain,
~ v1_xboole_0(sK26),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
~ v1_xboole_0(sK26),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f87,f301]) ).
fof(f301,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK26) ),
introduced(choice_axiom,[]) ).
fof(f87,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f650,plain,
spl38_11,
inference(avatar_split_clause,[],[f335,f647]) ).
fof(f335,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f645,plain,
~ spl38_10,
inference(avatar_split_clause,[],[f334,f642]) ).
fof(f334,plain,
k1_yellow_0(k2_yellow_1(k9_waybel_0(sK9)),sK10) != k3_tarski(sK10),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK9)),sK10) != k3_tarski(sK10)
& m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
& v1_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
& ~ v1_xboole_0(sK10)
& l1_orders_2(sK9)
& v2_lattice3(sK9)
& v2_yellow_0(sK9)
& v4_orders_2(sK9)
& v3_orders_2(sK9)
& v2_orders_2(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f112,f254,f253]) ).
fof(f253,plain,
( ? [X0] :
( ? [X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ( ? [X1] :
( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK9)),X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(sK9)))
& ~ v1_xboole_0(X1) )
& l1_orders_2(sK9)
& v2_lattice3(sK9)
& v2_yellow_0(sK9)
& v4_orders_2(sK9)
& v3_orders_2(sK9)
& v2_orders_2(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X1] :
( k3_tarski(X1) != k1_yellow_0(k2_yellow_1(k9_waybel_0(sK9)),X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(sK9)))
& ~ v1_xboole_0(X1) )
=> ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK9)),sK10) != k3_tarski(sK10)
& m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9)))))
& v1_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9)))
& ~ v1_xboole_0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
& l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_waybel22) ).
fof(f640,plain,
spl38_9,
inference(avatar_split_clause,[],[f333,f637]) ).
fof(f333,plain,
m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK9))))),
inference(cnf_transformation,[],[f255]) ).
fof(f635,plain,
spl38_8,
inference(avatar_split_clause,[],[f332,f632]) ).
fof(f332,plain,
v1_waybel_0(sK10,k2_yellow_1(k9_waybel_0(sK9))),
inference(cnf_transformation,[],[f255]) ).
fof(f630,plain,
~ spl38_7,
inference(avatar_split_clause,[],[f331,f627]) ).
fof(f331,plain,
~ v1_xboole_0(sK10),
inference(cnf_transformation,[],[f255]) ).
fof(f625,plain,
spl38_6,
inference(avatar_split_clause,[],[f330,f622]) ).
fof(f330,plain,
l1_orders_2(sK9),
inference(cnf_transformation,[],[f255]) ).
fof(f620,plain,
spl38_5,
inference(avatar_split_clause,[],[f329,f617]) ).
fof(f329,plain,
v2_lattice3(sK9),
inference(cnf_transformation,[],[f255]) ).
fof(f615,plain,
spl38_4,
inference(avatar_split_clause,[],[f328,f612]) ).
fof(f328,plain,
v2_yellow_0(sK9),
inference(cnf_transformation,[],[f255]) ).
fof(f610,plain,
spl38_3,
inference(avatar_split_clause,[],[f327,f607]) ).
fof(f327,plain,
v4_orders_2(sK9),
inference(cnf_transformation,[],[f255]) ).
fof(f605,plain,
spl38_2,
inference(avatar_split_clause,[],[f326,f602]) ).
fof(f326,plain,
v3_orders_2(sK9),
inference(cnf_transformation,[],[f255]) ).
fof(f600,plain,
spl38_1,
inference(avatar_split_clause,[],[f325,f597]) ).
fof(f325,plain,
v2_orders_2(sK9),
inference(cnf_transformation,[],[f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT347+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:25:31 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25918)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (25921)WARNING: value z3 for option sas not known
% 0.21/0.37 % (25921)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 % (25919)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 % (25920)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (25922)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (25923)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.39 % (25924)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.39 % (25925)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.41 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 TRYING [2]
% 0.21/0.45 TRYING [4]
% 0.21/0.50 TRYING [3]
% 0.21/0.51 TRYING [5]
% 1.61/0.60 TRYING [6]
% 1.61/0.62 TRYING [4]
% 2.93/0.76 TRYING [7]
% 2.93/0.82 % (25923)First to succeed.
% 3.45/0.85 TRYING [5]
% 3.72/0.87 % (25923)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25918"
% 3.72/0.88 % (25923)Refutation found. Thanks to Tanya!
% 3.72/0.88 % SZS status Theorem for theBenchmark
% 3.72/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/0.91 % (25923)------------------------------
% 3.72/0.91 % (25923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.72/0.91 % (25923)Termination reason: Refutation
% 3.72/0.91
% 3.72/0.91 % (25923)Memory used [KB]: 7535
% 3.72/0.91 % (25923)Time elapsed: 0.488 s
% 3.72/0.91 % (25923)Instructions burned: 766 (million)
% 3.72/0.91 % (25918)Success in time 0.547 s
%------------------------------------------------------------------------------