TSTP Solution File: SEU451+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU451+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 : n024.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 09:39:34 EDT 2024
% Result : Theorem 10.60s 1.90s
% Output : Refutation 10.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 857
% Syntax : Number of formulae : 2903 ( 101 unt; 0 def)
% Number of atoms : 10206 (1624 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 13253 (5950 ~;6370 |; 94 &)
% ( 807 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 821 ( 819 usr; 806 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-6 aty)
% Number of variables : 6470 (6438 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13603,plain,
$false,
inference(avatar_sat_refutation,[],[f189,f194,f199,f204,f209,f214,f219,f224,f228,f232,f236,f240,f244,f248,f252,f256,f260,f265,f269,f273,f277,f281,f288,f292,f296,f300,f304,f308,f312,f320,f324,f328,f332,f336,f341,f345,f349,f353,f361,f365,f369,f375,f379,f383,f387,f391,f395,f399,f412,f430,f439,f444,f448,f461,f465,f475,f482,f491,f498,f509,f514,f523,f527,f531,f535,f542,f556,f560,f569,f573,f577,f581,f607,f611,f615,f619,f628,f632,f638,f642,f646,f650,f654,f675,f679,f683,f693,f697,f701,f721,f725,f739,f743,f749,f756,f760,f770,f780,f796,f800,f819,f829,f833,f849,f859,f870,f874,f878,f898,f902,f918,f929,f933,f941,f945,f949,f966,f970,f974,f987,f991,f1019,f1023,f1067,f1071,f1077,f1081,f1085,f1089,f1094,f1098,f1102,f1106,f1110,f1115,f1149,f1156,f1160,f1168,f1172,f1176,f1185,f1221,f1225,f1229,f1233,f1237,f1246,f1290,f1294,f1298,f1303,f1307,f1311,f1315,f1319,f1323,f1373,f1398,f1402,f1406,f1410,f1414,f1419,f1423,f1427,f1431,f1467,f1474,f1479,f1485,f1489,f1494,f1509,f1518,f1522,f1526,f1530,f1534,f1538,f1542,f1546,f1550,f1593,f1597,f1601,f1605,f1646,f1650,f1654,f1700,f1713,f1717,f1723,f1727,f1749,f1756,f1760,f1771,f1775,f1779,f1815,f1819,f1823,f1827,f1831,f1835,f1890,f1939,f1943,f1947,f1951,f1955,f1959,f1963,f1967,f1971,f1975,f2115,f2128,f2132,f2154,f2167,f2171,f2200,f2204,f2208,f2212,f2252,f2260,f2282,f2286,f2290,f2321,f2329,f2351,f2355,f2381,f2415,f2424,f2428,f2432,f2452,f2457,f2469,f2501,f2506,f2511,f2524,f2540,f2545,f2550,f2554,f2558,f2563,f2568,f2572,f2604,f2609,f2636,f2659,f2664,f2669,f2674,f2679,f2683,f2687,f2691,f2695,f2699,f2703,f2707,f2711,f2715,f2719,f2723,f2729,f2770,f2786,f2791,f2795,f2836,f2841,f2846,f2851,f2856,f2861,f2891,f2895,f2900,f2905,f2910,f2918,f2923,f2931,f2935,f2939,f2943,f2947,f2951,f2977,f2989,f2997,f3002,f3010,f3014,f3018,f3022,f3026,f3037,f3041,f3045,f3049,f3111,f3131,f3135,f3139,f3143,f3199,f3208,f3221,f3225,f3229,f3233,f3237,f3241,f3245,f3249,f3291,f3299,f3303,f3307,f3311,f3315,f3319,f3323,f3327,f3331,f3371,f3375,f3379,f3383,f3468,f3472,f3476,f3485,f3489,f3533,f3537,f3559,f3563,f3567,f3571,f3575,f3579,f3583,f3587,f3591,f3595,f3599,f3603,f3788,f3904,f3908,f3912,f3916,f3920,f3924,f4000,f4004,f4008,f4012,f4016,f4020,f4071,f4160,f4186,f4190,f4294,f4298,f4306,f4310,f4314,f4318,f4322,f4326,f4330,f4334,f4338,f4350,f4456,f4460,f4464,f4468,f4472,f4476,f4480,f4484,f4499,f4527,f4531,f4535,f4539,f4543,f4547,f4551,f4555,f4559,f4563,f4567,f4571,f4575,f4579,f4583,f4587,f4591,f4632,f4696,f5083,f5087,f5092,f5107,f5111,f5115,f5119,f5123,f5127,f5131,f5135,f5139,f5143,f5147,f5151,f5155,f5159,f5163,f5167,f5171,f5175,f5179,f5183,f5187,f5191,f5195,f5213,f5397,f5649,f5653,f5657,f5661,f5665,f5669,f5673,f5677,f5681,f5728,f5732,f5736,f5740,f5920,f5924,f5928,f5933,f5937,f5941,f5945,f5949,f5953,f5957,f5961,f5965,f5969,f5973,f5977,f5981,f5985,f5989,f5993,f5997,f6001,f6005,f6009,f6013,f6014,f6018,f6022,f6026,f6030,f6034,f6038,f6042,f6046,f6050,f6054,f6059,f6077,f6081,f6085,f6089,f6093,f6097,f6101,f6105,f6109,f6113,f6117,f6121,f6125,f6129,f6133,f6137,f6141,f6145,f6149,f6461,f6598,f6602,f6614,f6618,f6622,f6626,f6652,f6656,f6660,f6664,f6668,f6672,f6676,f6680,f6684,f6688,f6734,f6738,f6742,f6746,f6750,f6754,f6758,f6762,f6766,f6770,f6796,f6800,f6804,f6808,f6812,f6816,f6820,f6824,f6828,f6832,f6841,f6845,f6849,f6853,f6857,f6861,f6865,f6869,f6873,f6877,f6886,f6890,f6918,f6943,f7265,f7269,f7274,f7278,f7282,f7366,f7370,f7374,f7378,f7382,f7386,f7390,f7394,f7398,f7402,f7406,f7410,f7414,f7418,f7422,f7426,f7430,f7434,f7438,f7442,f7446,f7450,f7463,f7811,f8013,f8017,f8021,f8025,f8030,f8034,f8038,f8042,f8046,f8174,f8178,f8182,f8186,f8190,f8194,f8198,f8306,f8310,f8314,f8318,f8323,f8467,f8471,f8475,f8479,f8483,f8615,f8917,f8921,f8925,f8929,f8933,f8937,f8946,f8950,f8954,f8958,f8962,f8966,f8970,f8974,f8978,f8982,f9287,f9314,f9318,f9322,f9326,f9330,f9334,f9338,f9342,f9346,f9350,f9354,f9358,f9362,f9366,f9957,f9961,f9965,f9969,f9973,f9977,f9981,f9985,f10020,f10024,f10028,f10032,f10036,f10040,f10044,f10048,f10052,f10056,f10061,f10483,f10755,f10759,f10768,f10772,f10776,f10780,f10784,f10902,f10906,f10910,f10914,f10918,f10922,f10926,f10930,f10934,f10938,f10942,f10946,f10950,f10954,f10958,f10962,f10966,f10970,f10974,f10978,f10982,f10986,f10990,f10994,f10998,f11002,f11517,f11521,f11525,f11529,f11533,f11537,f11541,f11545,f11549,f11763,f11767,f11777,f11781,f11785,f11789,f11793,f11797,f11801,f11805,f11809,f11813,f11817,f11821,f11825,f11829,f11833,f11837,f11841,f11845,f11849,f11853,f11857,f11861,f11865,f11869,f11873,f11877,f11881,f11885,f11933,f12251,f12433,f12465,f12469,f12473,f12477,f12481,f12486,f12526,f12530,f12534,f12538,f12542,f12546,f12550,f12554,f12558,f12562,f12566,f12570,f12574,f12578,f12582,f12586,f12590,f12594,f12891,f13144,f13148,f13152,f13156,f13160,f13164,f13168,f13172,f13517,f13521,f13525,f13529,f13533,f13537,f13541,f13545,f13549,f13553,f13557,f13561,f13565,f13569,f13573,f13577,f13581,f13585,f13589,f13593,f13597,f13601,f13602]) ).
fof(f13602,plain,
( ~ spl13_571
| spl13_18
| ~ spl13_602 ),
inference(avatar_split_clause,[],[f11768,f8027,f262,f7271]) ).
fof(f7271,plain,
( spl13_571
<=> sK2 = k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_571])]) ).
fof(f262,plain,
( spl13_18
<=> k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) = k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f8027,plain,
( spl13_602
<=> sK2 = k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_602])]) ).
fof(f11768,plain,
( sK2 != k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2)
| spl13_18
| ~ spl13_602 ),
inference(superposition,[],[f264,f8029]) ).
fof(f8029,plain,
( sK2 = k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1))
| ~ spl13_602 ),
inference(avatar_component_clause,[],[f8027]) ).
fof(f264,plain,
( k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1))
| spl13_18 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f13601,plain,
( spl13_805
| ~ spl13_20
| ~ spl13_232 ),
inference(avatar_split_clause,[],[f2294,f2280,f271,f13599]) ).
fof(f13599,plain,
( spl13_805
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK9(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_805])]) ).
fof(f271,plain,
( spl13_20
<=> ! [X0] : m1_subset_1(sK4(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f2280,plain,
( spl13_232
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,X5,X6,k9_relset_2(X1,X2,X4,X0,X3),sK9(X5,X6)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK9(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_232])]) ).
fof(f2294,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK9(X4,X5)) )
| ~ spl13_20
| ~ spl13_232 ),
inference(resolution,[],[f2281,f272]) ).
fof(f272,plain,
( ! [X0] : m1_subset_1(sK4(X0),X0)
| ~ spl13_20 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f2281,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X4,X5,X6,k9_relset_2(X1,X2,X4,X0,X3),sK9(X5,X6)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK9(X5,X6)) )
| ~ spl13_232 ),
inference(avatar_component_clause,[],[f2280]) ).
fof(f13597,plain,
( spl13_804
| ~ spl13_36
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2242,f2210,f343,f13595]) ).
fof(f13595,plain,
( spl13_804
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,sK3(k2_zfmisc_1(X2,X3))),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK3(k2_zfmisc_1(X2,X3))),sK6(X4))
| v1_xboole_0(k2_zfmisc_1(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_804])]) ).
fof(f343,plain,
( spl13_36
<=> ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f2210,plain,
( spl13_229
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,X5,X5,k9_relset_2(X1,X2,X4,X0,X3),sK6(X5)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK6(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_229])]) ).
fof(f2242,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,sK3(k2_zfmisc_1(X2,X3))),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK3(k2_zfmisc_1(X2,X3))),sK6(X4))
| v1_xboole_0(k2_zfmisc_1(X2,X3)) )
| ~ spl13_36
| ~ spl13_229 ),
inference(resolution,[],[f2211,f344]) ).
fof(f344,plain,
( ! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl13_36 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f2211,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X4,X5,X5,k9_relset_2(X1,X2,X4,X0,X3),sK6(X5)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK6(X5)) )
| ~ spl13_229 ),
inference(avatar_component_clause,[],[f2210]) ).
fof(f13593,plain,
( spl13_803
| ~ spl13_143
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2006,f1937,f1183,f13591]) ).
fof(f13591,plain,
( spl13_803
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_803])]) ).
fof(f1183,plain,
( spl13_143
<=> ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(X0,k5_relat_1(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_143])]) ).
fof(f1937,plain,
( spl13_210
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_210])]) ).
fof(f2006,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_143
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1184]) ).
fof(f1184,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X1)
| sK11 = k5_relat_1(X0,k5_relat_1(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0) )
| ~ spl13_143 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f1938,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_210 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f13589,plain,
( spl13_802
| ~ spl13_142
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2005,f1937,f1174,f13587]) ).
fof(f13587,plain,
( spl13_802
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_802])]) ).
fof(f1174,plain,
( spl13_142
<=> ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(X0,k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_142])]) ).
fof(f2005,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_142
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1175]) ).
fof(f1175,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| sK11 = k5_relat_1(X0,k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_142 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f13585,plain,
( spl13_801
| ~ spl13_141
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2004,f1937,f1170,f13583]) ).
fof(f13583,plain,
( spl13_801
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_801])]) ).
fof(f1170,plain,
( spl13_141
<=> ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X1,X2),X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_141])]) ).
fof(f2004,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_141
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1171]) ).
fof(f1171,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X1)
| sK11 = k5_relat_1(k5_relat_1(X1,X2),X0)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0) )
| ~ spl13_141 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f13581,plain,
( spl13_800
| ~ spl13_140
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2003,f1937,f1166,f13579]) ).
fof(f13579,plain,
( spl13_800
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_800])]) ).
fof(f1166,plain,
( spl13_140
<=> ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X1,X2),X0)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_140])]) ).
fof(f2003,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_140
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1167]) ).
fof(f1167,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| sK11 = k5_relat_1(k5_relat_1(X1,X2),X0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_140 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f13577,plain,
( spl13_799
| ~ spl13_143
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1989,f1937,f1183,f13575]) ).
fof(f13575,plain,
( spl13_799
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_799])]) ).
fof(f1989,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_143
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1184]) ).
fof(f13573,plain,
( spl13_798
| ~ spl13_142
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1988,f1937,f1174,f13571]) ).
fof(f13571,plain,
( spl13_798
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_798])]) ).
fof(f1988,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_142
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1175]) ).
fof(f13569,plain,
( spl13_797
| ~ spl13_141
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1987,f1937,f1170,f13567]) ).
fof(f13567,plain,
( spl13_797
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_797])]) ).
fof(f1987,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_141
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1171]) ).
fof(f13565,plain,
( spl13_796
| ~ spl13_140
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1986,f1937,f1166,f13563]) ).
fof(f13563,plain,
( spl13_796
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_796])]) ).
fof(f1986,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_140
| ~ spl13_210 ),
inference(resolution,[],[f1938,f1167]) ).
fof(f13561,plain,
( spl13_795
| ~ spl13_22
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f10008,f7424,f279,f13559]) ).
fof(f13559,plain,
( spl13_795
<=> ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK9(X0,X1),sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_795])]) ).
fof(f279,plain,
( spl13_22
<=> ! [X0,X1] : v1_relat_1(sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f7424,plain,
( spl13_589
<=> ! [X0] :
( sK11 = k5_relat_1(k5_relat_1(X0,sK2),sK11)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_589])]) ).
fof(f10008,plain,
( ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK9(X0,X1),sK2),sK11)
| ~ spl13_22
| ~ spl13_589 ),
inference(resolution,[],[f7425,f280]) ).
fof(f280,plain,
( ! [X0,X1] : v1_relat_1(sK9(X0,X1))
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f7425,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X0,sK2),sK11) )
| ~ spl13_589 ),
inference(avatar_component_clause,[],[f7424]) ).
fof(f13557,plain,
( spl13_794
| ~ spl13_152
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1870,f1817,f1296,f13555]) ).
fof(f13555,plain,
( spl13_794
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_794])]) ).
fof(f1296,plain,
( spl13_152
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(X0)
| k5_relat_1(X1,X0) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_152])]) ).
fof(f1817,plain,
( spl13_204
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_204])]) ).
fof(f1870,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) )
| ~ spl13_152
| ~ spl13_204 ),
inference(resolution,[],[f1818,f1297]) ).
fof(f1297,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(X3)
| k5_relat_1(X1,X0) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) )
| ~ spl13_152 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1818,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_204 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f13553,plain,
( spl13_793
| ~ spl13_151
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1869,f1817,f1292,f13551]) ).
fof(f13551,plain,
( spl13_793
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X1,X2),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_793])]) ).
fof(f1292,plain,
( spl13_151
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(X0)
| k5_relat_1(X0,X1) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_151])]) ).
fof(f1869,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X1,X2),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_151
| ~ spl13_204 ),
inference(resolution,[],[f1818,f1293]) ).
fof(f1293,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(X2)
| k5_relat_1(X0,X1) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X0) )
| ~ spl13_151 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f13549,plain,
( spl13_792
| ~ spl13_150
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1868,f1817,f1288,f13547]) ).
fof(f13547,plain,
( spl13_792
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_792])]) ).
fof(f1288,plain,
( spl13_150
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(X0)
| k5_relat_1(X0,X1) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_150])]) ).
fof(f1868,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_150
| ~ spl13_204 ),
inference(resolution,[],[f1818,f1289]) ).
fof(f1289,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(X3)
| k5_relat_1(X0,X1) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) )
| ~ spl13_150 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f13545,plain,
( spl13_791
| ~ spl13_152
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1852,f1813,f1296,f13543]) ).
fof(f13543,plain,
( spl13_791
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_791])]) ).
fof(f1813,plain,
( spl13_203
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_203])]) ).
fof(f1852,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) )
| ~ spl13_152
| ~ spl13_203 ),
inference(resolution,[],[f1814,f1297]) ).
fof(f1814,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl13_203 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f13541,plain,
( spl13_790
| ~ spl13_151
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1851,f1813,f1292,f13539]) ).
fof(f13539,plain,
( spl13_790
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X0,X1),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_790])]) ).
fof(f1851,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X0,X1),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_151
| ~ spl13_203 ),
inference(resolution,[],[f1814,f1293]) ).
fof(f13537,plain,
( spl13_789
| ~ spl13_150
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1850,f1813,f1288,f13535]) ).
fof(f13535,plain,
( spl13_789
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_789])]) ).
fof(f1850,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_150
| ~ spl13_203 ),
inference(resolution,[],[f1814,f1289]) ).
fof(f13533,plain,
( spl13_788
| ~ spl13_127
| ~ spl13_202 ),
inference(avatar_split_clause,[],[f1804,f1777,f1075,f13531]) ).
fof(f13531,plain,
( spl13_788
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))),k6_relat_1(X2))
| v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_788])]) ).
fof(f1075,plain,
( spl13_127
<=> ! [X0] :
( m1_subset_1(sK4(sK4(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).
fof(f1777,plain,
( spl13_202
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X3,X1,X2,sK11,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK11,X0),k6_relat_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_202])]) ).
fof(f1804,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))),k6_relat_1(X2))
| v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) )
| ~ spl13_127
| ~ spl13_202 ),
inference(resolution,[],[f1778,f1076]) ).
fof(f1076,plain,
( ! [X0] :
( m1_subset_1(sK4(sK4(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) )
| ~ spl13_127 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1778,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK11,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK11,X0),k6_relat_1(X2)) )
| ~ spl13_202 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f13529,plain,
( spl13_787
| ~ spl13_127
| ~ spl13_201 ),
inference(avatar_split_clause,[],[f1788,f1773,f1075,f13527]) ).
fof(f13527,plain,
( spl13_787
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))))
| v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_787])]) ).
fof(f1773,plain,
( spl13_201
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X3,X1,X2,sK11,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK11,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_201])]) ).
fof(f1788,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))))
| v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) )
| ~ spl13_127
| ~ spl13_201 ),
inference(resolution,[],[f1774,f1076]) ).
fof(f1774,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK11,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK11,X0)) )
| ~ spl13_201 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f13525,plain,
( spl13_786
| ~ spl13_105
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1136,f1079,f847,f13523]) ).
fof(f13523,plain,
( spl13_786
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_786])]) ).
fof(f847,plain,
( spl13_105
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).
fof(f1079,plain,
( spl13_128
<=> ! [X0] :
( m1_subset_1(sK4(sK3(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).
fof(f1136,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl13_105
| ~ spl13_128 ),
inference(resolution,[],[f1080,f848]) ).
fof(f848,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl13_105 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f1080,plain,
( ! [X0] :
( m1_subset_1(sK4(sK3(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK3(X0)) )
| ~ spl13_128 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f13521,plain,
( spl13_785
| ~ spl13_106
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1125,f1075,f857,f13519]) ).
fof(f13519,plain,
( spl13_785
<=> ! [X2,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_785])]) ).
fof(f857,plain,
( spl13_106
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).
fof(f1125,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_106
| ~ spl13_127 ),
inference(resolution,[],[f1076,f858]) ).
fof(f858,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_106 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f13517,plain,
( spl13_784
| ~ spl13_117
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f10007,f7424,f947,f13515]) ).
fof(f13515,plain,
( spl13_784
<=> ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK8(X0,X1),sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_784])]) ).
fof(f947,plain,
( spl13_117
<=> ! [X0,X1] : v1_relat_1(sK8(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).
fof(f10007,plain,
( ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK8(X0,X1),sK2),sK11)
| ~ spl13_117
| ~ spl13_589 ),
inference(resolution,[],[f7425,f948]) ).
fof(f948,plain,
( ! [X0,X1] : v1_relat_1(sK8(X0,X1))
| ~ spl13_117 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f13172,plain,
( spl13_783
| ~ spl13_20
| ~ spl13_231 ),
inference(avatar_split_clause,[],[f2273,f2258,f271,f13170]) ).
fof(f13170,plain,
( spl13_783
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_783])]) ).
fof(f2258,plain,
( spl13_231
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_231])]) ).
fof(f2273,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_20
| ~ spl13_231 ),
inference(resolution,[],[f2259,f272]) ).
fof(f2259,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X3,X1)) )
| ~ spl13_231 ),
inference(avatar_component_clause,[],[f2258]) ).
fof(f13168,plain,
( spl13_782
| ~ spl13_20
| ~ spl13_230 ),
inference(avatar_split_clause,[],[f2264,f2250,f271,f13166]) ).
fof(f13166,plain,
( spl13_782
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_782])]) ).
fof(f2250,plain,
( spl13_230
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0))
| v1_xboole_0(k2_zfmisc_1(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_230])]) ).
fof(f2264,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_20
| ~ spl13_230 ),
inference(resolution,[],[f2251,f272]) ).
fof(f2251,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0))
| v1_xboole_0(k2_zfmisc_1(X3,X1)) )
| ~ spl13_230 ),
inference(avatar_component_clause,[],[f2250]) ).
fof(f13164,plain,
( spl13_781
| ~ spl13_36
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2187,f2169,f343,f13162]) ).
fof(f13162,plain,
( spl13_781
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_781])]) ).
fof(f2169,plain,
( spl13_225
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_225])]) ).
fof(f2187,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_225 ),
inference(resolution,[],[f2170,f344]) ).
fof(f2170,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0),k6_relat_1(X2)) )
| ~ spl13_225 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f13160,plain,
( spl13_780
| ~ spl13_116
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f10006,f7424,f943,f13158]) ).
fof(f13158,plain,
( spl13_780
<=> ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK7(X0,X1),sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_780])]) ).
fof(f943,plain,
( spl13_116
<=> ! [X0,X1] : v1_relat_1(sK7(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).
fof(f10006,plain,
( ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK7(X0,X1),sK2),sK11)
| ~ spl13_116
| ~ spl13_589 ),
inference(resolution,[],[f7425,f944]) ).
fof(f944,plain,
( ! [X0,X1] : v1_relat_1(sK7(X0,X1))
| ~ spl13_116 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f13156,plain,
( spl13_779
| ~ spl13_36
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2174,f2165,f343,f13154]) ).
fof(f13154,plain,
( spl13_779
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_779])]) ).
fof(f2165,plain,
( spl13_224
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_224])]) ).
fof(f2174,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_224 ),
inference(resolution,[],[f2166,f344]) ).
fof(f2166,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0)) )
| ~ spl13_224 ),
inference(avatar_component_clause,[],[f2165]) ).
fof(f13152,plain,
( spl13_778
| ~ spl13_197
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1780,f1769,f1747,f13150]) ).
fof(f13150,plain,
( spl13_778
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_778])]) ).
fof(f1747,plain,
( spl13_197
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ r2_hidden(X0,k9_relset_2(X1,X2,X3,X4,X5))
| m1_subset_1(X0,k2_zfmisc_1(X1,X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_197])]) ).
fof(f1769,plain,
( spl13_200
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_200])]) ).
fof(f1780,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_197
| ~ spl13_200 ),
inference(superposition,[],[f1748,f1770]) ).
fof(f1770,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_200 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1748,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X0,k9_relset_2(X1,X2,X3,X4,X5))
| m1_subset_1(X0,k2_zfmisc_1(X1,X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_197 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f13148,plain,
( spl13_777
| ~ spl13_56
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1704,f1652,f473,f13146]) ).
fof(f13146,plain,
( spl13_777
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k9_relset_2(X0,X1,X2,k7_relset_1(X0,X3,X4,X1,X5,X6),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(k7_relset_1(X0,X3,X4,X1,X5,X6),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_relset_1(X6,X4,X1)
| ~ m1_relset_1(X5,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_777])]) ).
fof(f473,plain,
( spl13_56
<=> ! [X2,X4,X0,X5,X3,X1] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).
fof(f1652,plain,
( spl13_191
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_191])]) ).
fof(f1704,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k9_relset_2(X0,X1,X2,k7_relset_1(X0,X3,X4,X1,X5,X6),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(k7_relset_1(X0,X3,X4,X1,X5,X6),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_relset_1(X6,X4,X1)
| ~ m1_relset_1(X5,X0,X3) )
| ~ spl13_56
| ~ spl13_191 ),
inference(resolution,[],[f1653,f474]) ).
fof(f474,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) )
| ~ spl13_56 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f1653,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl13_191 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f13144,plain,
( spl13_776
| ~ spl13_56
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1691,f1648,f473,f13142]) ).
fof(f13142,plain,
( spl13_776
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k7_relset_1(X1,X3,X4,X2,X5,X6)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k7_relset_1(X1,X3,X4,X2,X5,X6))
| ~ m1_relset_1(X6,X4,X2)
| ~ m1_relset_1(X5,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_776])]) ).
fof(f1648,plain,
( spl13_190
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_190])]) ).
fof(f1691,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k7_relset_1(X1,X3,X4,X2,X5,X6)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k7_relset_1(X1,X3,X4,X2,X5,X6))
| ~ m1_relset_1(X6,X4,X2)
| ~ m1_relset_1(X5,X1,X3) )
| ~ spl13_56
| ~ spl13_190 ),
inference(resolution,[],[f1649,f474]) ).
fof(f1649,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) )
| ~ spl13_190 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f12891,plain,
( spl13_775
| ~ spl13_21
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f9987,f7424,f275,f12889]) ).
fof(f12889,plain,
( spl13_775
<=> ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_775])]) ).
fof(f275,plain,
( spl13_21
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f9987,plain,
( ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),sK2),sK11)
| ~ spl13_21
| ~ spl13_589 ),
inference(resolution,[],[f7425,f276]) ).
fof(f276,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f12594,plain,
( spl13_774
| ~ spl13_22
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8224,f7380,f279,f12592]) ).
fof(f12592,plain,
( spl13_774
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK9(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_774])]) ).
fof(f7380,plain,
( spl13_578
<=> ! [X0] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,sK2))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_578])]) ).
fof(f8224,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK9(X0,X1),sK2))
| ~ spl13_22
| ~ spl13_578 ),
inference(resolution,[],[f7381,f280]) ).
fof(f7381,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(sK11,k5_relat_1(X0,sK2)) )
| ~ spl13_578 ),
inference(avatar_component_clause,[],[f7380]) ).
fof(f12590,plain,
( spl13_773
| ~ spl13_20
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2243,f2210,f271,f12588]) ).
fof(f12588,plain,
( spl13_773
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK6(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_773])]) ).
fof(f2243,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK4(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))),sK6(X4)) )
| ~ spl13_20
| ~ spl13_229 ),
inference(resolution,[],[f2211,f272]) ).
fof(f12586,plain,
( spl13_772
| ~ spl13_89
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2002,f1937,f695,f12584]) ).
fof(f12584,plain,
( spl13_772
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_772])]) ).
fof(f695,plain,
( spl13_89
<=> ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| k5_relat_1(X0,X1) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).
fof(f2002,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) )
| ~ spl13_89
| ~ spl13_210 ),
inference(resolution,[],[f1938,f696]) ).
fof(f696,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| k5_relat_1(X0,X1) = X2
| ~ v1_relat_1(X0) )
| ~ spl13_89 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f12582,plain,
( spl13_771
| ~ spl13_88
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2001,f1937,f691,f12580]) ).
fof(f12580,plain,
( spl13_771
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_771])]) ).
fof(f691,plain,
( spl13_88
<=> ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| k5_relat_1(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).
fof(f2001,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) )
| ~ spl13_88
| ~ spl13_210 ),
inference(resolution,[],[f1938,f692]) ).
fof(f692,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| k5_relat_1(X1,X0) = X2
| ~ v1_relat_1(X0) )
| ~ spl13_88 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f12578,plain,
( spl13_770
| ~ spl13_89
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1985,f1937,f695,f12576]) ).
fof(f12576,plain,
( spl13_770
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_770])]) ).
fof(f1985,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) )
| ~ spl13_89
| ~ spl13_210 ),
inference(resolution,[],[f1938,f696]) ).
fof(f12574,plain,
( spl13_769
| ~ spl13_88
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1984,f1937,f691,f12572]) ).
fof(f12572,plain,
( spl13_769
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_769])]) ).
fof(f1984,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) )
| ~ spl13_88
| ~ spl13_210 ),
inference(resolution,[],[f1938,f692]) ).
fof(f12570,plain,
( spl13_768
| ~ spl13_143
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1867,f1817,f1183,f12568]) ).
fof(f12568,plain,
( spl13_768
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X1,X2),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_768])]) ).
fof(f1867,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X1,X2),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_143
| ~ spl13_204 ),
inference(resolution,[],[f1818,f1184]) ).
fof(f12566,plain,
( spl13_767
| ~ spl13_142
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1866,f1817,f1174,f12564]) ).
fof(f12564,plain,
( spl13_767
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_767])]) ).
fof(f1866,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_142
| ~ spl13_204 ),
inference(resolution,[],[f1818,f1175]) ).
fof(f12562,plain,
( spl13_766
| ~ spl13_141
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1865,f1817,f1170,f12560]) ).
fof(f12560,plain,
( spl13_766
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X1,X2),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_766])]) ).
fof(f1865,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X1,X2),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_141
| ~ spl13_204 ),
inference(resolution,[],[f1818,f1171]) ).
fof(f12558,plain,
( spl13_765
| ~ spl13_140
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1864,f1817,f1166,f12556]) ).
fof(f12556,plain,
( spl13_765
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X1,X2)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_765])]) ).
fof(f1864,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X1,X2)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_140
| ~ spl13_204 ),
inference(resolution,[],[f1818,f1167]) ).
fof(f12554,plain,
( spl13_764
| ~ spl13_143
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1849,f1813,f1183,f12552]) ).
fof(f12552,plain,
( spl13_764
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_764])]) ).
fof(f1849,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_143
| ~ spl13_203 ),
inference(resolution,[],[f1814,f1184]) ).
fof(f12550,plain,
( spl13_763
| ~ spl13_117
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8223,f7380,f947,f12548]) ).
fof(f12548,plain,
( spl13_763
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK8(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_763])]) ).
fof(f8223,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK8(X0,X1),sK2))
| ~ spl13_117
| ~ spl13_578 ),
inference(resolution,[],[f7381,f948]) ).
fof(f12546,plain,
( spl13_762
| ~ spl13_142
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1848,f1813,f1174,f12544]) ).
fof(f12544,plain,
( spl13_762
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_762])]) ).
fof(f1848,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_142
| ~ spl13_203 ),
inference(resolution,[],[f1814,f1175]) ).
fof(f12542,plain,
( spl13_761
| ~ spl13_141
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1847,f1813,f1170,f12540]) ).
fof(f12540,plain,
( spl13_761
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_761])]) ).
fof(f1847,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_141
| ~ spl13_203 ),
inference(resolution,[],[f1814,f1171]) ).
fof(f12538,plain,
( spl13_760
| ~ spl13_140
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1846,f1813,f1166,f12536]) ).
fof(f12536,plain,
( spl13_760
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_760])]) ).
fof(f1846,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_140
| ~ spl13_203 ),
inference(resolution,[],[f1814,f1167]) ).
fof(f12534,plain,
( spl13_759
| ~ spl13_103
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1551,f1507,f827,f12532]) ).
fof(f12532,plain,
( spl13_759
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,k9_relset_2(X0,X4,X1,X5,X6),sK8(X2,X3)) = k5_relat_1(k9_relset_2(X0,X4,X1,X5,X6),sK8(X2,X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X0,X4)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_759])]) ).
fof(f827,plain,
( spl13_103
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| m1_relset_1(k9_relset_2(X4,X1,X2,X3,X0),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).
fof(f1507,plain,
( spl13_175
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,X4,sK8(X2,X3)) = k5_relat_1(X4,sK8(X2,X3))
| ~ m1_relset_1(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_175])]) ).
fof(f1551,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,k9_relset_2(X0,X4,X1,X5,X6),sK8(X2,X3)) = k5_relat_1(k9_relset_2(X0,X4,X1,X5,X6),sK8(X2,X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X0,X4)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X1))) )
| ~ spl13_103
| ~ spl13_175 ),
inference(resolution,[],[f1508,f828]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_relset_1(k9_relset_2(X4,X1,X2,X3,X0),X4,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_103 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1508,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,sK8(X2,X3)) = k5_relat_1(X4,sK8(X2,X3)) )
| ~ spl13_175 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f12530,plain,
( spl13_758
| ~ spl13_59
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1132,f1079,f496,f12528]) ).
fof(f12528,plain,
( spl13_758
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X2,X0,X1,X3,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = k5_relat_1(X3,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_758])]) ).
fof(f496,plain,
( spl13_59
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).
fof(f1132,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X2,X0,X1,X3,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) = k5_relat_1(X3,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) )
| ~ spl13_59
| ~ spl13_128 ),
inference(resolution,[],[f1080,f497]) ).
fof(f497,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_59 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f12526,plain,
( spl13_757
| ~ spl13_105
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1124,f1075,f847,f12524]) ).
fof(f12524,plain,
( spl13_757
<=> ! [X2,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_757])]) ).
fof(f1124,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl13_105
| ~ spl13_127 ),
inference(resolution,[],[f1076,f848]) ).
fof(f12486,plain,
( spl13_756
| ~ spl13_116
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8222,f7380,f943,f12484]) ).
fof(f12484,plain,
( spl13_756
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK7(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_756])]) ).
fof(f8222,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK7(X0,X1),sK2))
| ~ spl13_116
| ~ spl13_578 ),
inference(resolution,[],[f7381,f944]) ).
fof(f12481,plain,
( spl13_755
| ~ spl13_37
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2310,f2288,f347,f12479]) ).
fof(f12479,plain,
( spl13_755
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X3,X4,X1,X5,X6,k9_relset_2(X1,X2,X5,X0,X7)) = k5_relat_1(X6,k9_relset_2(X1,X2,X5,X0,X7))
| ~ m1_relset_1(X6,X3,X4)
| ~ r1_tarski(X7,k2_zfmisc_1(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_755])]) ).
fof(f347,plain,
( spl13_37
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f2288,plain,
( spl13_234
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X5,X6,X1,X4,X7,k9_relset_2(X1,X2,X4,X0,X3)) = k5_relat_1(X7,k9_relset_2(X1,X2,X4,X0,X3))
| ~ m1_relset_1(X7,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_234])]) ).
fof(f2310,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X3,X4,X1,X5,X6,k9_relset_2(X1,X2,X5,X0,X7)) = k5_relat_1(X6,k9_relset_2(X1,X2,X5,X0,X7))
| ~ m1_relset_1(X6,X3,X4)
| ~ r1_tarski(X7,k2_zfmisc_1(X2,X5)) )
| ~ spl13_37
| ~ spl13_234 ),
inference(resolution,[],[f2289,f348]) ).
fof(f348,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl13_37 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f2289,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X5,X6,X1,X4,X7,k9_relset_2(X1,X2,X4,X0,X3)) = k5_relat_1(X7,k9_relset_2(X1,X2,X4,X0,X3))
| ~ m1_relset_1(X7,X5,X6) )
| ~ spl13_234 ),
inference(avatar_component_clause,[],[f2288]) ).
fof(f12477,plain,
( spl13_754
| ~ spl13_37
| ~ spl13_233 ),
inference(avatar_split_clause,[],[f2301,f2284,f347,f12475]) ).
fof(f12475,plain,
( spl13_754
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5))
| ~ r1_tarski(X6,k2_zfmisc_1(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_754])]) ).
fof(f2284,plain,
( spl13_233
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,X5,X6,k9_relset_2(X1,X2,X4,X0,X3),sK7(X5,X6)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK7(X5,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_233])]) ).
fof(f2301,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5))
| ~ r1_tarski(X6,k2_zfmisc_1(X2,X3)) )
| ~ spl13_37
| ~ spl13_233 ),
inference(resolution,[],[f2285,f348]) ).
fof(f2285,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X4,X5,X6,k9_relset_2(X1,X2,X4,X0,X3),sK7(X5,X6)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK7(X5,X6)) )
| ~ spl13_233 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f12473,plain,
( spl13_753
| ~ spl13_37
| ~ spl13_232 ),
inference(avatar_split_clause,[],[f2292,f2280,f347,f12471]) ).
fof(f12471,plain,
( spl13_753
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5))
| ~ r1_tarski(X6,k2_zfmisc_1(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_753])]) ).
fof(f2292,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5))
| ~ r1_tarski(X6,k2_zfmisc_1(X2,X3)) )
| ~ spl13_37
| ~ spl13_232 ),
inference(resolution,[],[f2281,f348]) ).
fof(f12469,plain,
( spl13_752
| ~ spl13_58
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1497,f1483,f489,f12467]) ).
fof(f12467,plain,
( spl13_752
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,k9_relset_2(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k9_relset_2(X1,X4,X2,X5,X6))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_752])]) ).
fof(f489,plain,
( spl13_58
<=> ! [X4,X0,X3,X2,X1] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f1483,plain,
( spl13_172
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_relset_1(X4,X1,X2)
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_172])]) ).
fof(f1497,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k9_relset_2(X0,X1,X2,X3,k9_relset_2(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k9_relset_2(X1,X4,X2,X5,X6))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,X2)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X4))) )
| ~ spl13_58
| ~ spl13_172 ),
inference(resolution,[],[f1484,f490]) ).
fof(f490,plain,
( ! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_58 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f1484,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_relset_1(X4,X1,X2)
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_172 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f12465,plain,
( spl13_751
| ~ spl13_104
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1135,f1079,f831,f12463]) ).
fof(f12463,plain,
( spl13_751
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_751])]) ).
fof(f831,plain,
( spl13_104
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).
fof(f1135,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_104
| ~ spl13_128 ),
inference(resolution,[],[f1080,f832]) ).
fof(f832,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) )
| ~ spl13_104 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f12433,plain,
( spl13_750
| ~ spl13_21
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8203,f7380,f275,f12431]) ).
fof(f12431,plain,
( spl13_750
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(k2_zfmisc_1(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_750])]) ).
fof(f8203,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(k2_zfmisc_1(X0,X1),sK2))
| ~ spl13_21
| ~ spl13_578 ),
inference(resolution,[],[f7381,f276]) ).
fof(f12251,plain,
( spl13_749
| ~ spl13_123
| ~ spl13_299 ),
inference(avatar_split_clause,[],[f3154,f2933,f1017,f12249]) ).
fof(f12249,plain,
( spl13_749
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK9(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_749])]) ).
fof(f1017,plain,
( spl13_123
<=> ! [X0] :
( sK11 = k5_relat_1(sK11,X0)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).
fof(f2933,plain,
( spl13_299
<=> ! [X0,X1] : v1_relat_1(k5_relat_1(sK2,sK9(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_299])]) ).
fof(f3154,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK9(X0,X1)))
| ~ spl13_123
| ~ spl13_299 ),
inference(resolution,[],[f2934,f1018]) ).
fof(f1018,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(sK11,X0) )
| ~ spl13_123 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f2934,plain,
( ! [X0,X1] : v1_relat_1(k5_relat_1(sK2,sK9(X0,X1)))
| ~ spl13_299 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f11933,plain,
( spl13_748
| ~ spl13_124
| ~ spl13_299 ),
inference(avatar_split_clause,[],[f3153,f2933,f1021,f11931]) ).
fof(f11931,plain,
( spl13_748
<=> ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK2,sK9(X0,X1)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_748])]) ).
fof(f1021,plain,
( spl13_124
<=> ! [X0] :
( sK11 = k5_relat_1(X0,sK11)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).
fof(f3153,plain,
( ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK2,sK9(X0,X1)),sK11)
| ~ spl13_124
| ~ spl13_299 ),
inference(resolution,[],[f2934,f1022]) ).
fof(f1022,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(X0,sK11) )
| ~ spl13_124 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f11885,plain,
( spl13_747
| ~ spl13_51
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2309,f2288,f437,f11883]) ).
fof(f11883,plain,
( spl13_747
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X3,X4,X1,X5,X6,k9_relset_2(X1,X2,X5,X0,X7)) = k5_relat_1(X6,k9_relset_2(X1,X2,X5,X0,X7))
| ~ m1_relset_1(X6,X3,X4)
| ~ m2_relset_1(X7,X2,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_747])]) ).
fof(f437,plain,
( spl13_51
<=> ! [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,[spl13_51])]) ).
fof(f2309,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X3,X4,X1,X5,X6,k9_relset_2(X1,X2,X5,X0,X7)) = k5_relat_1(X6,k9_relset_2(X1,X2,X5,X0,X7))
| ~ m1_relset_1(X6,X3,X4)
| ~ m2_relset_1(X7,X2,X5) )
| ~ spl13_51
| ~ spl13_234 ),
inference(resolution,[],[f2289,f438]) ).
fof(f438,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl13_51 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f11881,plain,
( spl13_746
| ~ spl13_51
| ~ spl13_233 ),
inference(avatar_split_clause,[],[f2300,f2284,f437,f11879]) ).
fof(f11879,plain,
( spl13_746
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5))
| ~ m2_relset_1(X6,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_746])]) ).
fof(f2300,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK7(X4,X5))
| ~ m2_relset_1(X6,X2,X3) )
| ~ spl13_51
| ~ spl13_233 ),
inference(resolution,[],[f2285,f438]) ).
fof(f11877,plain,
( spl13_745
| ~ spl13_51
| ~ spl13_232 ),
inference(avatar_split_clause,[],[f2291,f2280,f437,f11875]) ).
fof(f11875,plain,
( spl13_745
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5))
| ~ m2_relset_1(X6,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_745])]) ).
fof(f2291,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X6),sK9(X4,X5))
| ~ m2_relset_1(X6,X2,X3) )
| ~ spl13_51
| ~ spl13_232 ),
inference(resolution,[],[f2281,f438]) ).
fof(f11873,plain,
( spl13_744
| ~ spl13_37
| ~ spl13_231 ),
inference(avatar_split_clause,[],[f2271,f2258,f347,f11871]) ).
fof(f11871,plain,
( spl13_744
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_744])]) ).
fof(f2271,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_231 ),
inference(resolution,[],[f2259,f348]) ).
fof(f11869,plain,
( spl13_743
| ~ spl13_37
| ~ spl13_230 ),
inference(avatar_split_clause,[],[f2262,f2250,f347,f11867]) ).
fof(f11867,plain,
( spl13_743
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_743])]) ).
fof(f2262,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_230 ),
inference(resolution,[],[f2251,f348]) ).
fof(f11865,plain,
( spl13_742
| ~ spl13_34
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2237,f2206,f334,f11863]) ).
fof(f11863,plain,
( spl13_742
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK9(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_742])]) ).
fof(f334,plain,
( spl13_34
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f2206,plain,
( spl13_228
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK9(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK9(X2,X3))
| ~ m1_relset_1(X6,X0,X4)
| ~ m1_relset_1(X7,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_228])]) ).
fof(f2237,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK9(X4,X5)) )
| ~ spl13_34
| ~ spl13_228 ),
inference(resolution,[],[f2207,f335]) ).
fof(f335,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f2207,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X7,X5,X1)
| ~ m1_relset_1(X6,X0,X4)
| k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK9(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK9(X2,X3)) )
| ~ spl13_228 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f11861,plain,
( spl13_741
| ~ spl13_123
| ~ spl13_292 ),
inference(avatar_split_clause,[],[f3092,f2893,f1017,f11859]) ).
fof(f11859,plain,
( spl13_741
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK7(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_741])]) ).
fof(f2893,plain,
( spl13_292
<=> ! [X0,X1] : v1_relat_1(k5_relat_1(sK2,sK7(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_292])]) ).
fof(f3092,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK7(X0,X1)))
| ~ spl13_123
| ~ spl13_292 ),
inference(resolution,[],[f2894,f1018]) ).
fof(f2894,plain,
( ! [X0,X1] : v1_relat_1(k5_relat_1(sK2,sK7(X0,X1)))
| ~ spl13_292 ),
inference(avatar_component_clause,[],[f2893]) ).
fof(f11857,plain,
( spl13_740
| ~ spl13_70
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2236,f2206,f567,f11855]) ).
fof(f11855,plain,
( spl13_740
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK9(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_740])]) ).
fof(f567,plain,
( spl13_70
<=> ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f2236,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK9(X4,X5)) )
| ~ spl13_70
| ~ spl13_228 ),
inference(resolution,[],[f2207,f568]) ).
fof(f568,plain,
( ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1)
| ~ spl13_70 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f11853,plain,
( spl13_739
| ~ spl13_32
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2235,f2206,f326,f11851]) ).
fof(f11851,plain,
( spl13_739
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK9(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_739])]) ).
fof(f326,plain,
( spl13_32
<=> ! [X0,X1] : m1_relset_1(sK7(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f2235,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK9(X4,X5)) )
| ~ spl13_32
| ~ spl13_228 ),
inference(resolution,[],[f2207,f327]) ).
fof(f327,plain,
( ! [X0,X1] : m1_relset_1(sK7(X0,X1),X0,X1)
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f11849,plain,
( spl13_738
| ~ spl13_34
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2228,f2202,f334,f11847]) ).
fof(f11847,plain,
( spl13_738
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK7(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_738])]) ).
fof(f2202,plain,
( spl13_227
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK7(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK7(X2,X3))
| ~ m1_relset_1(X6,X0,X4)
| ~ m1_relset_1(X7,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_227])]) ).
fof(f2228,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK9(X6,X3)),sK7(X4,X5)) )
| ~ spl13_34
| ~ spl13_227 ),
inference(resolution,[],[f2203,f335]) ).
fof(f2203,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X7,X5,X1)
| ~ m1_relset_1(X6,X0,X4)
| k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK7(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK7(X2,X3)) )
| ~ spl13_227 ),
inference(avatar_component_clause,[],[f2202]) ).
fof(f11845,plain,
( spl13_737
| ~ spl13_70
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2227,f2202,f567,f11843]) ).
fof(f11843,plain,
( spl13_737
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK7(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_737])]) ).
fof(f2227,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK8(X6,X3)),sK7(X4,X5)) )
| ~ spl13_70
| ~ spl13_227 ),
inference(resolution,[],[f2203,f568]) ).
fof(f11841,plain,
( spl13_736
| ~ spl13_32
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2226,f2202,f326,f11839]) ).
fof(f11839,plain,
( spl13_736
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK7(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_736])]) ).
fof(f2226,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X6,X3,X0,sK7(X6,X3)),sK7(X4,X5)) )
| ~ spl13_32
| ~ spl13_227 ),
inference(resolution,[],[f2203,f327]) ).
fof(f11837,plain,
( spl13_735
| ~ spl13_34
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2219,f2198,f334,f11835]) ).
fof(f11835,plain,
( spl13_735
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X5,X2,sK9(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0)) = k5_relat_1(sK9(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0))
| ~ m1_relset_1(X7,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_735])]) ).
fof(f2198,plain,
( spl13_226
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X6,X7,X1,X5,X8,k7_relset_1(X1,X2,X4,X5,X0,X3)) = k5_relat_1(X8,k7_relset_1(X1,X2,X4,X5,X0,X3))
| ~ m1_relset_1(X8,X6,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_226])]) ).
fof(f2219,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X5,X2,sK9(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0)) = k5_relat_1(sK9(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0))
| ~ m1_relset_1(X7,X5,X6) )
| ~ spl13_34
| ~ spl13_226 ),
inference(resolution,[],[f2199,f335]) ).
fof(f2199,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X8,X6,X7)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X6,X7,X1,X5,X8,k7_relset_1(X1,X2,X4,X5,X0,X3)) = k5_relat_1(X8,k7_relset_1(X1,X2,X4,X5,X0,X3))
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl13_226 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f11833,plain,
( spl13_734
| ~ spl13_70
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2218,f2198,f567,f11831]) ).
fof(f11831,plain,
( spl13_734
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X5,X2,sK8(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0)) = k5_relat_1(sK8(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0))
| ~ m1_relset_1(X7,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_734])]) ).
fof(f2218,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X5,X2,sK8(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0)) = k5_relat_1(sK8(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0))
| ~ m1_relset_1(X7,X5,X6) )
| ~ spl13_70
| ~ spl13_226 ),
inference(resolution,[],[f2199,f568]) ).
fof(f11829,plain,
( spl13_733
| ~ spl13_32
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2217,f2198,f326,f11827]) ).
fof(f11827,plain,
( spl13_733
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X5,X2,sK7(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0)) = k5_relat_1(sK7(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0))
| ~ m1_relset_1(X7,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_733])]) ).
fof(f2217,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X5,X2,sK7(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0)) = k5_relat_1(sK7(X3,X4),k7_relset_1(X5,X6,X1,X2,X7,X0))
| ~ m1_relset_1(X7,X5,X6) )
| ~ spl13_32
| ~ spl13_226 ),
inference(resolution,[],[f2199,f327]) ).
fof(f11825,plain,
( spl13_732
| ~ spl13_36
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2144,f2130,f343,f11823]) ).
fof(f11823,plain,
( spl13_732
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_732])]) ).
fof(f2130,plain,
( spl13_222
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,X4,X0),k6_relat_1(X2))
| ~ r1_tarski(X4,k2_zfmisc_1(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_222])]) ).
fof(f2144,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_222 ),
inference(resolution,[],[f2131,f344]) ).
fof(f2131,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,X4,X0),k6_relat_1(X2))
| ~ r1_tarski(X4,k2_zfmisc_1(X3,X1)) )
| ~ spl13_222 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f11821,plain,
( spl13_731
| ~ spl13_36
| ~ spl13_221 ),
inference(avatar_split_clause,[],[f2135,f2126,f343,f11819]) ).
fof(f11819,plain,
( spl13_731
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_731])]) ).
fof(f2126,plain,
( spl13_221
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,X4,X0))
| ~ r1_tarski(X4,k2_zfmisc_1(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_221])]) ).
fof(f2135,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_221 ),
inference(resolution,[],[f2127,f344]) ).
fof(f2127,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,X4,X0))
| ~ r1_tarski(X4,k2_zfmisc_1(X3,X1)) )
| ~ spl13_221 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f11817,plain,
( spl13_730
| ~ spl13_124
| ~ spl13_292 ),
inference(avatar_split_clause,[],[f3091,f2893,f1021,f11815]) ).
fof(f11815,plain,
( spl13_730
<=> ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK2,sK7(X0,X1)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_730])]) ).
fof(f3091,plain,
( ! [X0,X1] : sK11 = k5_relat_1(k5_relat_1(sK2,sK7(X0,X1)),sK11)
| ~ spl13_124
| ~ spl13_292 ),
inference(resolution,[],[f2894,f1022]) ).
fof(f11813,plain,
( spl13_729
| ~ spl13_81
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2000,f1937,f640,f11811]) ).
fof(f11811,plain,
( spl13_729
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_729])]) ).
fof(f640,plain,
( spl13_81
<=> ! [X0,X1] :
( k5_relat_1(X0,X1) = sK11
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).
fof(f2000,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_81
| ~ spl13_210 ),
inference(resolution,[],[f1938,f641]) ).
fof(f641,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0)
| k5_relat_1(X0,X1) = sK11 )
| ~ spl13_81 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f11809,plain,
( spl13_728
| ~ spl13_80
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1999,f1937,f636,f11807]) ).
fof(f11807,plain,
( spl13_728
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_728])]) ).
fof(f636,plain,
( spl13_80
<=> ! [X0,X1] :
( k5_relat_1(X1,X0) = sK11
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f1999,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) )
| ~ spl13_80
| ~ spl13_210 ),
inference(resolution,[],[f1938,f637]) ).
fof(f637,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ v1_relat_1(X0)
| k5_relat_1(X1,X0) = sK11 )
| ~ spl13_80 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f11805,plain,
( spl13_727
| ~ spl13_81
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1983,f1937,f640,f11803]) ).
fof(f11803,plain,
( spl13_727
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_727])]) ).
fof(f1983,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_81
| ~ spl13_210 ),
inference(resolution,[],[f1938,f641]) ).
fof(f11801,plain,
( spl13_726
| ~ spl13_80
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1982,f1937,f636,f11799]) ).
fof(f11799,plain,
( spl13_726
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_726])]) ).
fof(f1982,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) )
| ~ spl13_80
| ~ spl13_210 ),
inference(resolution,[],[f1938,f637]) ).
fof(f11797,plain,
( spl13_725
| ~ spl13_89
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1863,f1817,f695,f11795]) ).
fof(f11795,plain,
( spl13_725
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_725])]) ).
fof(f1863,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) )
| ~ spl13_89
| ~ spl13_204 ),
inference(resolution,[],[f1818,f696]) ).
fof(f11793,plain,
( spl13_724
| ~ spl13_88
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1862,f1817,f691,f11791]) ).
fof(f11791,plain,
( spl13_724
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_724])]) ).
fof(f1862,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) )
| ~ spl13_88
| ~ spl13_204 ),
inference(resolution,[],[f1818,f692]) ).
fof(f11789,plain,
( spl13_723
| ~ spl13_89
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1845,f1813,f695,f11787]) ).
fof(f11787,plain,
( spl13_723
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_723])]) ).
fof(f1845,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) )
| ~ spl13_89
| ~ spl13_203 ),
inference(resolution,[],[f1814,f696]) ).
fof(f11785,plain,
( spl13_722
| ~ spl13_88
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1844,f1813,f691,f11783]) ).
fof(f11783,plain,
( spl13_722
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_722])]) ).
fof(f1844,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) )
| ~ spl13_88
| ~ spl13_203 ),
inference(resolution,[],[f1814,f692]) ).
fof(f11781,plain,
( spl13_721
| ~ spl13_99
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1553,f1507,f778,f11779]) ).
fof(f11779,plain,
( spl13_721
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK8(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK8(X2,X3))
| ~ m1_relset_1(X6,X0,X4)
| ~ m1_relset_1(X7,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_721])]) ).
fof(f778,plain,
( spl13_99
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| m1_relset_1(k7_relset_1(X4,X5,X1,X2,X3,X0),X4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f1553,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK8(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK8(X2,X3))
| ~ m1_relset_1(X6,X0,X4)
| ~ m1_relset_1(X7,X5,X1) )
| ~ spl13_99
| ~ spl13_175 ),
inference(resolution,[],[f1508,f779]) ).
fof(f779,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_relset_1(k7_relset_1(X4,X5,X1,X2,X3,X0),X4,X2)
| ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl13_99 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f11777,plain,
( spl13_720
| ~ spl13_103
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1432,f1396,f827,f11775]) ).
fof(f11775,plain,
( spl13_720
<=> ! [X3,X4,X0,X5,X2,X1] :
( k7_relset_1(X0,X1,X2,X2,k9_relset_2(X0,X3,X1,X4,X5),k6_relat_1(X2)) = k5_relat_1(k9_relset_2(X0,X3,X1,X4,X5),k6_relat_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X3)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_720])]) ).
fof(f1396,plain,
( spl13_160
<=> ! [X0,X3,X2,X1] :
( k7_relset_1(X0,X1,X2,X2,X3,k6_relat_1(X2)) = k5_relat_1(X3,k6_relat_1(X2))
| ~ m1_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_160])]) ).
fof(f1432,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X0,X1,X2,X2,k9_relset_2(X0,X3,X1,X4,X5),k6_relat_1(X2)) = k5_relat_1(k9_relset_2(X0,X3,X1,X4,X5),k6_relat_1(X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X3)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1))) )
| ~ spl13_103
| ~ spl13_160 ),
inference(resolution,[],[f1397,f828]) ).
fof(f1397,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,X1)
| k7_relset_1(X0,X1,X2,X2,X3,k6_relat_1(X2)) = k5_relat_1(X3,k6_relat_1(X2)) )
| ~ spl13_160 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f11767,plain,
( spl13_719
| ~ spl13_102
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1134,f1079,f817,f11765]) ).
fof(f11765,plain,
( spl13_719
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_719])]) ).
fof(f817,plain,
( spl13_102
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).
fof(f1134,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_102
| ~ spl13_128 ),
inference(resolution,[],[f1080,f818]) ).
fof(f818,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl13_102 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f11763,plain,
( spl13_718
| ~ spl13_59
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1120,f1075,f496,f11761]) ).
fof(f11761,plain,
( spl13_718
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X2,X0,X1,X3,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) = k5_relat_1(X3,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_718])]) ).
fof(f1120,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X2,X0,X1,X3,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) = k5_relat_1(X3,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X0))) )
| ~ spl13_59
| ~ spl13_127 ),
inference(resolution,[],[f1076,f497]) ).
fof(f11549,plain,
( spl13_717
| ~ spl13_51
| ~ spl13_231 ),
inference(avatar_split_clause,[],[f2270,f2258,f437,f11547]) ).
fof(f11547,plain,
( spl13_717
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_717])]) ).
fof(f2270,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_51
| ~ spl13_231 ),
inference(resolution,[],[f2259,f438]) ).
fof(f11545,plain,
( spl13_716
| ~ spl13_51
| ~ spl13_230 ),
inference(avatar_split_clause,[],[f2261,f2250,f437,f11543]) ).
fof(f11543,plain,
( spl13_716
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_716])]) ).
fof(f2261,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_51
| ~ spl13_230 ),
inference(resolution,[],[f2251,f438]) ).
fof(f11541,plain,
( spl13_715
| ~ spl13_37
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2241,f2210,f347,f11539]) ).
fof(f11539,plain,
( spl13_715
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,X5),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X5),sK6(X4))
| ~ r1_tarski(X5,k2_zfmisc_1(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_715])]) ).
fof(f2241,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,X5),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X5),sK6(X4))
| ~ r1_tarski(X5,k2_zfmisc_1(X2,X3)) )
| ~ spl13_37
| ~ spl13_229 ),
inference(resolution,[],[f2211,f348]) ).
fof(f11537,plain,
( spl13_714
| ~ spl13_36
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f2118,f1973,f343,f11535]) ).
fof(f11535,plain,
( spl13_714
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_714])]) ).
fof(f1973,plain,
( spl13_219
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,X4,X0),k6_relat_1(X2))
| ~ m2_relset_1(X4,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_219])]) ).
fof(f2118,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_219 ),
inference(resolution,[],[f1974,f344]) ).
fof(f1974,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,X4,X0),k6_relat_1(X2))
| ~ m2_relset_1(X4,X3,X1) )
| ~ spl13_219 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f11533,plain,
( spl13_713
| ~ spl13_36
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f2105,f1969,f343,f11531]) ).
fof(f11531,plain,
( spl13_713
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))))
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_713])]) ).
fof(f1969,plain,
( spl13_218
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,X4,X0))
| ~ m2_relset_1(X4,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_218])]) ).
fof(f2105,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))))
| ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_218 ),
inference(resolution,[],[f1970,f344]) ).
fof(f1970,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,X4,X0))
| ~ m2_relset_1(X4,X3,X1) )
| ~ spl13_218 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f11529,plain,
( spl13_712
| ~ spl13_58
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1783,f1769,f489,f11527]) ).
fof(f11527,plain,
( spl13_712
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),X0,X2)
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_712])]) ).
fof(f1783,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),X0,X2)
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_58
| ~ spl13_200 ),
inference(superposition,[],[f490,f1770]) ).
fof(f11525,plain,
( spl13_711
| ~ spl13_103
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1782,f1769,f827,f11523]) ).
fof(f11523,plain,
( spl13_711
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),X0,X2)
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_711])]) ).
fof(f1782,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),X0,X2)
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_103
| ~ spl13_200 ),
inference(superposition,[],[f828,f1770]) ).
fof(f11521,plain,
( spl13_710
| ~ spl13_56
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1500,f1483,f473,f11519]) ).
fof(f11519,plain,
( spl13_710
<=> ! [X5,X3,X4,X7,X0,X6,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,k7_relset_1(X1,X4,X5,X2,X6,X7)) = k5_relat_1(X3,k7_relset_1(X1,X4,X5,X2,X6,X7))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_relset_1(X7,X5,X2)
| ~ m1_relset_1(X6,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_710])]) ).
fof(f1500,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( k9_relset_2(X0,X1,X2,X3,k7_relset_1(X1,X4,X5,X2,X6,X7)) = k5_relat_1(X3,k7_relset_1(X1,X4,X5,X2,X6,X7))
| ~ m2_relset_1(X3,X0,X1)
| ~ m1_relset_1(X7,X5,X2)
| ~ m1_relset_1(X6,X1,X4) )
| ~ spl13_56
| ~ spl13_172 ),
inference(resolution,[],[f1484,f474]) ).
fof(f11517,plain,
( spl13_709
| ~ spl13_104
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1123,f1075,f831,f11515]) ).
fof(f11515,plain,
( spl13_709
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_709])]) ).
fof(f1123,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_104
| ~ spl13_127 ),
inference(resolution,[],[f1076,f832]) ).
fof(f11002,plain,
( spl13_708
| ~ spl13_51
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2240,f2210,f437,f11000]) ).
fof(f11000,plain,
( spl13_708
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,X5),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X5),sK6(X4))
| ~ m2_relset_1(X5,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_708])]) ).
fof(f2240,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,X5),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,X5),sK6(X4))
| ~ m2_relset_1(X5,X2,X3) )
| ~ spl13_51
| ~ spl13_229 ),
inference(resolution,[],[f2211,f438]) ).
fof(f10998,plain,
( spl13_707
| ~ spl13_27
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2234,f2206,f302,f10996]) ).
fof(f10996,plain,
( spl13_707
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK9(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_707])]) ).
fof(f302,plain,
( spl13_27
<=> ! [X0] : m1_relset_1(sK6(X0),X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f2234,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK9(X4,X5)) )
| ~ spl13_27
| ~ spl13_228 ),
inference(resolution,[],[f2207,f303]) ).
fof(f303,plain,
( ! [X0] : m1_relset_1(sK6(X0),X0,X0)
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f10994,plain,
( spl13_706
| ~ spl13_64
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2232,f2206,f529,f10992]) ).
fof(f10992,plain,
( spl13_706
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK9(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_706])]) ).
fof(f529,plain,
( spl13_64
<=> ! [X0] : m1_relset_1(k6_relat_1(X0),X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f2232,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK9(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK9(X4,X5)) )
| ~ spl13_64
| ~ spl13_228 ),
inference(resolution,[],[f2207,f530]) ).
fof(f530,plain,
( ! [X0] : m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ spl13_64 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f10990,plain,
( spl13_705
| ~ spl13_27
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2225,f2202,f302,f10988]) ).
fof(f10988,plain,
( spl13_705
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK7(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_705])]) ).
fof(f2225,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK7(X4,X5)) )
| ~ spl13_27
| ~ spl13_227 ),
inference(resolution,[],[f2203,f303]) ).
fof(f10986,plain,
( spl13_704
| ~ spl13_64
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2223,f2202,f529,f10984]) ).
fof(f10984,plain,
( spl13_704
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK7(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_704])]) ).
fof(f2223,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X5,k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK7(X4,X5)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK7(X4,X5)) )
| ~ spl13_64
| ~ spl13_227 ),
inference(resolution,[],[f2203,f530]) ).
fof(f10982,plain,
( spl13_703
| ~ spl13_27
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2216,f2198,f302,f10980]) ).
fof(f10980,plain,
( spl13_703
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X4,X2,sK6(X3),k7_relset_1(X4,X5,X1,X2,X6,X0)) = k5_relat_1(sK6(X3),k7_relset_1(X4,X5,X1,X2,X6,X0))
| ~ m1_relset_1(X6,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_703])]) ).
fof(f2216,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X4,X2,sK6(X3),k7_relset_1(X4,X5,X1,X2,X6,X0)) = k5_relat_1(sK6(X3),k7_relset_1(X4,X5,X1,X2,X6,X0))
| ~ m1_relset_1(X6,X4,X5) )
| ~ spl13_27
| ~ spl13_226 ),
inference(resolution,[],[f2199,f303]) ).
fof(f10978,plain,
( spl13_702
| ~ spl13_14
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f10005,f7424,f246,f10976]) ).
fof(f10976,plain,
( spl13_702
<=> ! [X0] : sK11 = k5_relat_1(k5_relat_1(sK6(X0),sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_702])]) ).
fof(f246,plain,
( spl13_14
<=> ! [X0] : v1_relat_1(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f10005,plain,
( ! [X0] : sK11 = k5_relat_1(k5_relat_1(sK6(X0),sK2),sK11)
| ~ spl13_14
| ~ spl13_589 ),
inference(resolution,[],[f7425,f247]) ).
fof(f247,plain,
( ! [X0] : v1_relat_1(sK6(X0))
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f10974,plain,
( spl13_701
| ~ spl13_64
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2214,f2198,f529,f10972]) ).
fof(f10972,plain,
( spl13_701
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X4,X2,k6_relat_1(X3),k7_relset_1(X4,X5,X1,X2,X6,X0)) = k5_relat_1(k6_relat_1(X3),k7_relset_1(X4,X5,X1,X2,X6,X0))
| ~ m1_relset_1(X6,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_701])]) ).
fof(f2214,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X4,X2,k6_relat_1(X3),k7_relset_1(X4,X5,X1,X2,X6,X0)) = k5_relat_1(k6_relat_1(X3),k7_relset_1(X4,X5,X1,X2,X6,X0))
| ~ m1_relset_1(X6,X4,X5) )
| ~ spl13_64
| ~ spl13_226 ),
inference(resolution,[],[f2199,f530]) ).
fof(f10970,plain,
( spl13_700
| ~ spl13_37
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2186,f2169,f347,f10968]) ).
fof(f10968,plain,
( spl13_700
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_700])]) ).
fof(f2186,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_225 ),
inference(resolution,[],[f2170,f348]) ).
fof(f10966,plain,
( spl13_699
| ~ spl13_37
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2173,f2165,f347,f10964]) ).
fof(f10964,plain,
( spl13_699
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_699])]) ).
fof(f2173,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_224 ),
inference(resolution,[],[f2166,f348]) ).
fof(f10962,plain,
( spl13_698
| ~ spl13_34
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2161,f2152,f334,f10960]) ).
fof(f10960,plain,
( spl13_698
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X5,X3,X0,sK9(X5,X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X5,X3,X0,sK9(X5,X3)),sK6(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_698])]) ).
fof(f2152,plain,
( spl13_223
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X1,X5,X6,X6,k7_relset_1(X1,X2,X4,X5,X0,X3),sK6(X6)) = k5_relat_1(k7_relset_1(X1,X2,X4,X5,X0,X3),sK6(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_223])]) ).
fof(f2161,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X5,X3,X0,sK9(X5,X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X5,X3,X0,sK9(X5,X3)),sK6(X4)) )
| ~ spl13_34
| ~ spl13_223 ),
inference(resolution,[],[f2153,f335]) ).
fof(f2153,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X5,X6,X6,k7_relset_1(X1,X2,X4,X5,X0,X3),sK6(X6)) = k5_relat_1(k7_relset_1(X1,X2,X4,X5,X0,X3),sK6(X6)) )
| ~ spl13_223 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f10958,plain,
( spl13_697
| ~ spl13_70
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2160,f2152,f567,f10956]) ).
fof(f10956,plain,
( spl13_697
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X5,X3,X0,sK8(X5,X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X5,X3,X0,sK8(X5,X3)),sK6(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_697])]) ).
fof(f2160,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X5,X3,X0,sK8(X5,X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X5,X3,X0,sK8(X5,X3)),sK6(X4)) )
| ~ spl13_70
| ~ spl13_223 ),
inference(resolution,[],[f2153,f568]) ).
fof(f10954,plain,
( spl13_696
| ~ spl13_32
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2159,f2152,f326,f10952]) ).
fof(f10952,plain,
( spl13_696
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X5,X3,X0,sK7(X5,X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X5,X3,X0,sK7(X5,X3)),sK6(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_696])]) ).
fof(f2159,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X5,X3,X0,sK7(X5,X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X5,X3,X0,sK7(X5,X3)),sK6(X4)) )
| ~ spl13_32
| ~ spl13_223 ),
inference(resolution,[],[f2153,f327]) ).
fof(f10950,plain,
( spl13_695
| ~ spl13_20
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2145,f2130,f271,f10948]) ).
fof(f10948,plain,
( spl13_695
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_695])]) ).
fof(f2145,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_20
| ~ spl13_222 ),
inference(resolution,[],[f2131,f272]) ).
fof(f10946,plain,
( spl13_694
| ~ spl13_20
| ~ spl13_221 ),
inference(avatar_split_clause,[],[f2136,f2126,f271,f10944]) ).
fof(f10944,plain,
( spl13_694
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_694])]) ).
fof(f2136,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_20
| ~ spl13_221 ),
inference(resolution,[],[f2127,f272]) ).
fof(f10942,plain,
( spl13_693
| ~ spl13_38
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1997,f1937,f351,f10940]) ).
fof(f10940,plain,
( spl13_693
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_693])]) ).
fof(f351,plain,
( spl13_38
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f1997,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) )
| ~ spl13_38
| ~ spl13_210 ),
inference(resolution,[],[f1938,f352]) ).
fof(f352,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f10938,plain,
( spl13_692
| ~ spl13_90
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1993,f1937,f699,f10936]) ).
fof(f10936,plain,
( spl13_692
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_692])]) ).
fof(f699,plain,
( spl13_90
<=> ! [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,[spl13_90])]) ).
fof(f1993,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) )
| ~ spl13_90
| ~ spl13_210 ),
inference(resolution,[],[f1938,f700]) ).
fof(f700,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X0,X1,X2)
| ~ r2_hidden(X3,X0) )
| ~ spl13_90 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f10934,plain,
( spl13_691
| ~ spl13_10
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f9995,f7424,f230,f10932]) ).
fof(f10932,plain,
( spl13_691
<=> ! [X0] : sK11 = k5_relat_1(k5_relat_1(k6_relat_1(X0),sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_691])]) ).
fof(f230,plain,
( spl13_10
<=> ! [X0] : v1_relat_1(k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f9995,plain,
( ! [X0] : sK11 = k5_relat_1(k5_relat_1(k6_relat_1(X0),sK2),sK11)
| ~ spl13_10
| ~ spl13_589 ),
inference(resolution,[],[f7425,f231]) ).
fof(f231,plain,
( ! [X0] : v1_relat_1(k6_relat_1(X0))
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f10930,plain,
( spl13_690
| ~ spl13_38
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1980,f1937,f351,f10928]) ).
fof(f10928,plain,
( spl13_690
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_690])]) ).
fof(f1980,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) )
| ~ spl13_38
| ~ spl13_210 ),
inference(resolution,[],[f1938,f352]) ).
fof(f10926,plain,
( spl13_689
| ~ spl13_90
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1976,f1937,f699,f10924]) ).
fof(f10924,plain,
( spl13_689
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_689])]) ).
fof(f1976,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) )
| ~ spl13_90
| ~ spl13_210 ),
inference(resolution,[],[f1938,f700]) ).
fof(f10922,plain,
( spl13_688
| ~ spl13_81
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1861,f1817,f640,f10920]) ).
fof(f10920,plain,
( spl13_688
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_688])]) ).
fof(f1861,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_81
| ~ spl13_204 ),
inference(resolution,[],[f1818,f641]) ).
fof(f10918,plain,
( spl13_687
| ~ spl13_80
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1860,f1817,f636,f10916]) ).
fof(f10916,plain,
( spl13_687
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_687])]) ).
fof(f1860,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X1,X2),X3) )
| ~ spl13_80
| ~ spl13_204 ),
inference(resolution,[],[f1818,f637]) ).
fof(f10914,plain,
( spl13_686
| ~ spl13_81
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1843,f1813,f640,f10912]) ).
fof(f10912,plain,
( spl13_686
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_686])]) ).
fof(f1843,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_81
| ~ spl13_203 ),
inference(resolution,[],[f1814,f641]) ).
fof(f10910,plain,
( spl13_685
| ~ spl13_80
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1842,f1813,f636,f10908]) ).
fof(f10908,plain,
( spl13_685
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_685])]) ).
fof(f1842,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) )
| ~ spl13_80
| ~ spl13_203 ),
inference(resolution,[],[f1814,f637]) ).
fof(f10906,plain,
( spl13_684
| ~ spl13_99
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1434,f1396,f778,f10904]) ).
fof(f10904,plain,
( spl13_684
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k7_relset_1(X0,X1,X2,X2,k7_relset_1(X0,X3,X4,X1,X5,X6),k6_relat_1(X2)) = k5_relat_1(k7_relset_1(X0,X3,X4,X1,X5,X6),k6_relat_1(X2))
| ~ m1_relset_1(X5,X0,X3)
| ~ m1_relset_1(X6,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_684])]) ).
fof(f1434,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k7_relset_1(X0,X1,X2,X2,k7_relset_1(X0,X3,X4,X1,X5,X6),k6_relat_1(X2)) = k5_relat_1(k7_relset_1(X0,X3,X4,X1,X5,X6),k6_relat_1(X2))
| ~ m1_relset_1(X5,X0,X3)
| ~ m1_relset_1(X6,X4,X1) )
| ~ spl13_99
| ~ spl13_160 ),
inference(resolution,[],[f1397,f779]) ).
fof(f10902,plain,
( spl13_683
| ~ spl13_102
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1122,f1075,f817,f10900]) ).
fof(f10900,plain,
( spl13_683
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_683])]) ).
fof(f1122,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_102
| ~ spl13_127 ),
inference(resolution,[],[f1076,f818]) ).
fof(f10784,plain,
( spl13_682
| ~ spl13_51
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2185,f2169,f437,f10782]) ).
fof(f10782,plain,
( spl13_682
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3),k6_relat_1(X2))
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_682])]) ).
fof(f2185,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3),k6_relat_1(X2))
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_51
| ~ spl13_225 ),
inference(resolution,[],[f2170,f438]) ).
fof(f10780,plain,
( spl13_681
| ~ spl13_51
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2172,f2165,f437,f10778]) ).
fof(f10778,plain,
( spl13_681
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3))
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_681])]) ).
fof(f2172,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3))
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_51
| ~ spl13_224 ),
inference(resolution,[],[f2166,f438]) ).
fof(f10776,plain,
( spl13_680
| ~ spl13_20
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f2119,f1973,f271,f10774]) ).
fof(f10774,plain,
( spl13_680
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_680])]) ).
fof(f2119,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_20
| ~ spl13_219 ),
inference(resolution,[],[f1974,f272]) ).
fof(f10772,plain,
( spl13_679
| ~ spl13_20
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f2106,f1969,f271,f10770]) ).
fof(f10770,plain,
( spl13_679
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_679])]) ).
fof(f2106,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_20
| ~ spl13_218 ),
inference(resolution,[],[f1970,f272]) ).
fof(f10768,plain,
( spl13_678
| ~ spl13_176
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1781,f1769,f1516,f10766]) ).
fof(f10766,plain,
( spl13_678
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_678])]) ).
fof(f1516,plain,
( spl13_176
<=> ! [X4,X0,X3,X2,X1] :
( v1_relat_1(k9_relset_2(X0,X1,X2,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_176])]) ).
fof(f1781,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_176
| ~ spl13_200 ),
inference(superposition,[],[f1517,f1770]) ).
fof(f1517,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_relat_1(k9_relset_2(X0,X1,X2,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_176 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f10759,plain,
( spl13_677
| ~ spl13_58
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1271,f1244,f489,f10757]) ).
fof(f10757,plain,
( spl13_677
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,k9_relset_2(X1,X3,X2,X4,X5)) = k5_relat_1(sK11,k9_relset_2(X1,X3,X2,X4,X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_677])]) ).
fof(f1244,plain,
( spl13_149
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k5_relat_1(sK11,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_149])]) ).
fof(f1271,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK11,k9_relset_2(X1,X3,X2,X4,X5)) = k5_relat_1(sK11,k9_relset_2(X1,X3,X2,X4,X5))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X3))) )
| ~ spl13_58
| ~ spl13_149 ),
inference(resolution,[],[f1245,f490]) ).
fof(f1245,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| k9_relset_2(X0,X1,X2,sK11,X3) = k5_relat_1(sK11,X3) )
| ~ spl13_149 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f10755,plain,
( spl13_676
| ~ spl13_58
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1255,f1235,f489,f10753]) ).
fof(f10753,plain,
( spl13_676
<=> ! [X2,X3,X4,X0,X5,X1] :
( k9_relset_2(X0,X1,X2,k9_relset_2(X0,X3,X1,X4,X5),sK11) = k5_relat_1(k9_relset_2(X0,X3,X1,X4,X5),sK11)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_676])]) ).
fof(f1235,plain,
( spl13_148
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11)
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_148])]) ).
fof(f1255,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,k9_relset_2(X0,X3,X1,X4,X5),sK11) = k5_relat_1(k9_relset_2(X0,X3,X1,X4,X5),sK11)
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X3))) )
| ~ spl13_58
| ~ spl13_148 ),
inference(resolution,[],[f1236,f490]) ).
fof(f1236,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11) )
| ~ spl13_148 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f10483,plain,
( spl13_675
| ~ spl13_8
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f10011,f7424,f221,f10480]) ).
fof(f10480,plain,
( spl13_675
<=> sK11 = k5_relat_1(k5_relat_1(sK12,sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_675])]) ).
fof(f221,plain,
( spl13_8
<=> v1_relat_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f10011,plain,
( sK11 = k5_relat_1(k5_relat_1(sK12,sK2),sK11)
| ~ spl13_8
| ~ spl13_589 ),
inference(resolution,[],[f7425,f223]) ).
fof(f223,plain,
( v1_relat_1(sK12)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f10061,plain,
( spl13_674
| ~ spl13_5
| ~ spl13_589 ),
inference(avatar_split_clause,[],[f10009,f7424,f206,f10058]) ).
fof(f10058,plain,
( spl13_674
<=> sK11 = k5_relat_1(k5_relat_1(sK10,sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_674])]) ).
fof(f206,plain,
( spl13_5
<=> v1_relat_1(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f10009,plain,
( sK11 = k5_relat_1(k5_relat_1(sK10,sK2),sK11)
| ~ spl13_5
| ~ spl13_589 ),
inference(resolution,[],[f7425,f208]) ).
fof(f208,plain,
( v1_relat_1(sK10)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f10056,plain,
( spl13_673
| ~ spl13_26
| ~ spl13_49
| ~ spl13_234 ),
inference(avatar_split_clause,[],[f2317,f2288,f410,f298,f10054]) ).
fof(f10054,plain,
( spl13_673
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( k7_relset_1(X3,X4,X1,X5,X6,k9_relset_2(X1,X2,X5,X0,sK11)) = k5_relat_1(X6,k9_relset_2(X1,X2,X5,X0,sK11))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X6,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_673])]) ).
fof(f298,plain,
( spl13_26
<=> ! [X0] : m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f410,plain,
( spl13_49
<=> ! [X0] : sK5(X0) = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f2317,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k7_relset_1(X3,X4,X1,X5,X6,k9_relset_2(X1,X2,X5,X0,sK11)) = k5_relat_1(X6,k9_relset_2(X1,X2,X5,X0,sK11))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X6,X3,X4) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_234 ),
inference(forward_demodulation,[],[f2315,f411]) ).
fof(f411,plain,
( ! [X0] : sK5(X0) = sK11
| ~ spl13_49 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f2315,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X3,X4,X1,X5,X6,k9_relset_2(X1,X2,X5,X0,sK5(k2_zfmisc_1(X2,X5)))) = k5_relat_1(X6,k9_relset_2(X1,X2,X5,X0,sK5(k2_zfmisc_1(X2,X5))))
| ~ m1_relset_1(X6,X3,X4) )
| ~ spl13_26
| ~ spl13_234 ),
inference(resolution,[],[f2289,f299]) ).
fof(f299,plain,
( ! [X0] : m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f10052,plain,
( spl13_672
| ~ spl13_26
| ~ spl13_49
| ~ spl13_233 ),
inference(avatar_split_clause,[],[f2308,f2284,f410,f298,f10050]) ).
fof(f10050,plain,
( spl13_672
<=> ! [X2,X4,X0,X5,X3,X1] :
( k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK11),sK7(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK11),sK7(X4,X5))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_672])]) ).
fof(f2308,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK11),sK7(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK11),sK7(X4,X5))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_233 ),
inference(forward_demodulation,[],[f2306,f411]) ).
fof(f2306,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK5(k2_zfmisc_1(X2,X3))),sK7(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK5(k2_zfmisc_1(X2,X3))),sK7(X4,X5)) )
| ~ spl13_26
| ~ spl13_233 ),
inference(resolution,[],[f2285,f299]) ).
fof(f10048,plain,
( spl13_671
| ~ spl13_26
| ~ spl13_49
| ~ spl13_232 ),
inference(avatar_split_clause,[],[f2299,f2280,f410,f298,f10046]) ).
fof(f10046,plain,
( spl13_671
<=> ! [X2,X4,X0,X5,X3,X1] :
( k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK11),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK11),sK9(X4,X5))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_671])]) ).
fof(f2299,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK11),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK11),sK9(X4,X5))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_232 ),
inference(forward_demodulation,[],[f2297,f411]) ).
fof(f2297,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X5,k9_relset_2(X1,X2,X3,X0,sK5(k2_zfmisc_1(X2,X3))),sK9(X4,X5)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK5(k2_zfmisc_1(X2,X3))),sK9(X4,X5)) )
| ~ spl13_26
| ~ spl13_232 ),
inference(resolution,[],[f2281,f299]) ).
fof(f10044,plain,
( spl13_670
| ~ spl13_27
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2158,f2152,f302,f10042]) ).
fof(f10042,plain,
( spl13_670
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK6(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_670])]) ).
fof(f2158,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,sK6(X3)),sK6(X4)) )
| ~ spl13_27
| ~ spl13_223 ),
inference(resolution,[],[f2153,f303]) ).
fof(f10040,plain,
( spl13_669
| ~ spl13_64
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2156,f2152,f529,f10038]) ).
fof(f10038,plain,
( spl13_669
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK6(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_669])]) ).
fof(f2156,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,X3,X4,X4,k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK6(X4)) = k5_relat_1(k7_relset_1(X1,X2,X3,X3,X0,k6_relat_1(X3)),sK6(X4)) )
| ~ spl13_64
| ~ spl13_223 ),
inference(resolution,[],[f2153,f530]) ).
fof(f10036,plain,
( spl13_668
| ~ spl13_25
| ~ spl13_35
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2012,f1937,f338,f294,f10034]) ).
fof(f10034,plain,
( spl13_668
<=> ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_668])]) ).
fof(f294,plain,
( spl13_25
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f338,plain,
( spl13_35
<=> k1_xboole_0 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f2012,plain,
( ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_210 ),
inference(forward_demodulation,[],[f1996,f340]) ).
fof(f340,plain,
( k1_xboole_0 = sK11
| ~ spl13_35 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f1996,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X0,X1) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_210 ),
inference(resolution,[],[f1938,f295]) ).
fof(f295,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl13_25 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f10032,plain,
( spl13_667
| ~ spl13_25
| ~ spl13_35
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2011,f1937,f338,f294,f10030]) ).
fof(f10030,plain,
( spl13_667
<=> ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_667])]) ).
fof(f2011,plain,
( ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_210 ),
inference(forward_demodulation,[],[f1979,f340]) ).
fof(f1979,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| k2_zfmisc_1(X0,X1) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_210 ),
inference(resolution,[],[f1938,f295]) ).
fof(f10028,plain,
( spl13_666
| ~ spl13_38
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1858,f1817,f351,f10026]) ).
fof(f10026,plain,
( spl13_666
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X1,X2) = X3
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_666])]) ).
fof(f1858,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X1,X2) = X3
| ~ v1_xboole_0(X3) )
| ~ spl13_38
| ~ spl13_204 ),
inference(resolution,[],[f1818,f352]) ).
fof(f10024,plain,
( spl13_665
| ~ spl13_90
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1854,f1817,f699,f10022]) ).
fof(f10022,plain,
( spl13_665
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_665])]) ).
fof(f1854,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X4,X3) )
| ~ spl13_90
| ~ spl13_204 ),
inference(resolution,[],[f1818,f700]) ).
fof(f10020,plain,
( spl13_664
| ~ spl13_38
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1840,f1813,f351,f10018]) ).
fof(f10018,plain,
( spl13_664
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_664])]) ).
fof(f1840,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) )
| ~ spl13_38
| ~ spl13_203 ),
inference(resolution,[],[f1814,f352]) ).
fof(f9985,plain,
( spl13_663
| ~ spl13_90
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1836,f1813,f699,f9983]) ).
fof(f9983,plain,
( spl13_663
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_663])]) ).
fof(f1836,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) )
| ~ spl13_90
| ~ spl13_203 ),
inference(resolution,[],[f1814,f700]) ).
fof(f9981,plain,
( spl13_662
| ~ spl13_152
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1641,f1603,f1296,f9979]) ).
fof(f9979,plain,
( spl13_662
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_662])]) ).
fof(f1603,plain,
( spl13_188
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_188])]) ).
fof(f1641,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) )
| ~ spl13_152
| ~ spl13_188 ),
inference(resolution,[],[f1604,f1297]) ).
fof(f1604,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_188 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f9977,plain,
( spl13_661
| ~ spl13_151
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1640,f1603,f1292,f9975]) ).
fof(f9975,plain,
( spl13_661
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X1,X2),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_661])]) ).
fof(f1640,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X1,X2),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_151
| ~ spl13_188 ),
inference(resolution,[],[f1604,f1293]) ).
fof(f9973,plain,
( spl13_660
| ~ spl13_150
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1639,f1603,f1288,f9971]) ).
fof(f9971,plain,
( spl13_660
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_660])]) ).
fof(f1639,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X1,X2))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_150
| ~ spl13_188 ),
inference(resolution,[],[f1604,f1289]) ).
fof(f9969,plain,
( spl13_659
| ~ spl13_152
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1622,f1591,f1296,f9967]) ).
fof(f9967,plain,
( spl13_659
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_659])]) ).
fof(f1591,plain,
( spl13_185
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_185])]) ).
fof(f1622,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X4) )
| ~ spl13_152
| ~ spl13_185 ),
inference(resolution,[],[f1592,f1297]) ).
fof(f1592,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11) )
| ~ spl13_185 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f9965,plain,
( spl13_658
| ~ spl13_151
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1621,f1591,f1292,f9963]) ).
fof(f9963,plain,
( spl13_658
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X0,X1),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_658])]) ).
fof(f1621,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k5_relat_1(X3,X4) = k5_relat_1(k2_zfmisc_1(X0,X1),X5)
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_151
| ~ spl13_185 ),
inference(resolution,[],[f1592,f1293]) ).
fof(f9961,plain,
( spl13_657
| ~ spl13_150
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1620,f1591,f1288,f9959]) ).
fof(f9959,plain,
( spl13_657
<=> ! [X3,X4,X0,X5,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_657])]) ).
fof(f1620,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k5_relat_1(X3,X4) = k5_relat_1(X5,k2_zfmisc_1(X0,X1))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X5)
| ~ v1_xboole_0(X3) )
| ~ spl13_150
| ~ spl13_185 ),
inference(resolution,[],[f1592,f1289]) ).
fof(f9957,plain,
( spl13_656
| ~ spl13_97
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1133,f1079,f758,f9955]) ).
fof(f9955,plain,
( spl13_656
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK11) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_656])]) ).
fof(f758,plain,
( spl13_97
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).
fof(f1133,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| k9_relset_2(X0,X1,X2,sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK11) = k5_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),sK11) )
| ~ spl13_97
| ~ spl13_128 ),
inference(resolution,[],[f1080,f759]) ).
fof(f759,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11) )
| ~ spl13_97 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f9366,plain,
( spl13_655
| ~ spl13_26
| ~ spl13_49
| ~ spl13_231 ),
inference(avatar_split_clause,[],[f2278,f2258,f410,f298,f9364]) ).
fof(f9364,plain,
( spl13_655
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_655])]) ).
fof(f2278,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_231 ),
inference(forward_demodulation,[],[f2276,f411]) ).
fof(f2276,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK5(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK5(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_231 ),
inference(resolution,[],[f2259,f299]) ).
fof(f9362,plain,
( spl13_654
| ~ spl13_26
| ~ spl13_49
| ~ spl13_230 ),
inference(avatar_split_clause,[],[f2269,f2250,f410,f298,f9360]) ).
fof(f9360,plain,
( spl13_654
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_654])]) ).
fof(f2269,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_230 ),
inference(forward_demodulation,[],[f2267,f411]) ).
fof(f2267,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK5(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK5(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_230 ),
inference(resolution,[],[f2251,f299]) ).
fof(f9358,plain,
( spl13_653
| ~ spl13_20
| ~ spl13_200
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2193,f2169,f1769,f271,f9356]) ).
fof(f9356,plain,
( spl13_653
<=> ! [X2,X0,X1] : k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_653])]) ).
fof(f2193,plain,
( ! [X2,X0,X1] : k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| ~ spl13_20
| ~ spl13_200
| ~ spl13_225 ),
inference(forward_demodulation,[],[f2188,f1770]) ).
fof(f2188,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| ~ spl13_20
| ~ spl13_225 ),
inference(resolution,[],[f2170,f272]) ).
fof(f9354,plain,
( spl13_652
| ~ spl13_20
| ~ spl13_200
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2180,f2165,f1769,f271,f9352]) ).
fof(f9352,plain,
( spl13_652
<=> ! [X2,X0,X1] : k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_652])]) ).
fof(f2180,plain,
( ! [X2,X0,X1] : k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ spl13_20
| ~ spl13_200
| ~ spl13_224 ),
inference(forward_demodulation,[],[f2175,f1770]) ).
fof(f2175,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ spl13_20
| ~ spl13_224 ),
inference(resolution,[],[f2166,f272]) ).
fof(f9350,plain,
( spl13_651
| ~ spl13_37
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2143,f2130,f347,f9348]) ).
fof(f9348,plain,
( spl13_651
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_651])]) ).
fof(f2143,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_222 ),
inference(resolution,[],[f2131,f348]) ).
fof(f9346,plain,
( spl13_650
| ~ spl13_37
| ~ spl13_221 ),
inference(avatar_split_clause,[],[f2134,f2126,f347,f9344]) ).
fof(f9344,plain,
( spl13_650
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_650])]) ).
fof(f2134,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_221 ),
inference(resolution,[],[f2127,f348]) ).
fof(f9342,plain,
( spl13_649
| ~ spl13_40
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1994,f1937,f363,f9340]) ).
fof(f9340,plain,
( spl13_649
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_649])]) ).
fof(f363,plain,
( spl13_40
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f1994,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl13_40
| ~ spl13_210 ),
inference(resolution,[],[f1938,f364]) ).
fof(f364,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f9338,plain,
( spl13_648
| ~ spl13_40
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1977,f1937,f363,f9336]) ).
fof(f9336,plain,
( spl13_648
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_648])]) ).
fof(f1977,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X2,X0))
| k9_relset_2(X2,X0,X1,sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK3(k2_zfmisc_1(X2,X0)),sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl13_40
| ~ spl13_210 ),
inference(resolution,[],[f1938,f364]) ).
fof(f9334,plain,
( spl13_647
| ~ spl13_36
| ~ spl13_202 ),
inference(avatar_split_clause,[],[f1802,f1777,f343,f9332]) ).
fof(f9332,plain,
( spl13_647
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_647])]) ).
fof(f1802,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_202 ),
inference(resolution,[],[f1778,f344]) ).
fof(f9330,plain,
( spl13_646
| ~ spl13_14
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8221,f7380,f246,f9328]) ).
fof(f9328,plain,
( spl13_646
<=> ! [X0] : sK11 = k5_relat_1(sK11,k5_relat_1(sK6(X0),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_646])]) ).
fof(f8221,plain,
( ! [X0] : sK11 = k5_relat_1(sK11,k5_relat_1(sK6(X0),sK2))
| ~ spl13_14
| ~ spl13_578 ),
inference(resolution,[],[f7381,f247]) ).
fof(f9326,plain,
( spl13_645
| ~ spl13_36
| ~ spl13_201 ),
inference(avatar_split_clause,[],[f1786,f1773,f343,f9324]) ).
fof(f9324,plain,
( spl13_645
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_645])]) ).
fof(f1786,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_201 ),
inference(resolution,[],[f1774,f344]) ).
fof(f9322,plain,
( spl13_644
| ~ spl13_68
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1761,f1747,f554,f9320]) ).
fof(f9320,plain,
( spl13_644
<=> ! [X4,X0,X3,X2,X1] :
( m1_subset_1(sK4(k9_relset_2(X0,X1,X2,X3,X4)),k2_zfmisc_1(X0,X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k9_relset_2(X0,X1,X2,X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_644])]) ).
fof(f554,plain,
( spl13_68
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK4(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f1761,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_subset_1(sK4(k9_relset_2(X0,X1,X2,X3,X4)),k2_zfmisc_1(X0,X2))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k9_relset_2(X0,X1,X2,X3,X4)) )
| ~ spl13_68
| ~ spl13_197 ),
inference(resolution,[],[f1748,f555]) ).
fof(f555,plain,
( ! [X0] :
( r2_hidden(sK4(X0),X0)
| v1_xboole_0(X0) )
| ~ spl13_68 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f9318,plain,
( spl13_643
| ~ spl13_56
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1274,f1244,f473,f9316]) ).
fof(f9316,plain,
( spl13_643
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,k7_relset_1(X1,X3,X4,X2,X5,X6)) = k5_relat_1(sK11,k7_relset_1(X1,X3,X4,X2,X5,X6))
| ~ m1_relset_1(X6,X4,X2)
| ~ m1_relset_1(X5,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_643])]) ).
fof(f1274,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k9_relset_2(X0,X1,X2,sK11,k7_relset_1(X1,X3,X4,X2,X5,X6)) = k5_relat_1(sK11,k7_relset_1(X1,X3,X4,X2,X5,X6))
| ~ m1_relset_1(X6,X4,X2)
| ~ m1_relset_1(X5,X1,X3) )
| ~ spl13_56
| ~ spl13_149 ),
inference(resolution,[],[f1245,f474]) ).
fof(f9314,plain,
( spl13_642
| ~ spl13_56
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1258,f1235,f473,f9312]) ).
fof(f9312,plain,
( spl13_642
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( k9_relset_2(X0,X1,X2,k7_relset_1(X0,X3,X4,X1,X5,X6),sK11) = k5_relat_1(k7_relset_1(X0,X3,X4,X1,X5,X6),sK11)
| ~ m1_relset_1(X6,X4,X1)
| ~ m1_relset_1(X5,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_642])]) ).
fof(f1258,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k9_relset_2(X0,X1,X2,k7_relset_1(X0,X3,X4,X1,X5,X6),sK11) = k5_relat_1(k7_relset_1(X0,X3,X4,X1,X5,X6),sK11)
| ~ m1_relset_1(X6,X4,X1)
| ~ m1_relset_1(X5,X0,X3) )
| ~ spl13_56
| ~ spl13_148 ),
inference(resolution,[],[f1236,f474]) ).
fof(f9287,plain,
( spl13_641
| ~ spl13_10
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8211,f7380,f230,f9285]) ).
fof(f9285,plain,
( spl13_641
<=> ! [X0] : sK11 = k5_relat_1(sK11,k5_relat_1(k6_relat_1(X0),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_641])]) ).
fof(f8211,plain,
( ! [X0] : sK11 = k5_relat_1(sK11,k5_relat_1(k6_relat_1(X0),sK2))
| ~ spl13_10
| ~ spl13_578 ),
inference(resolution,[],[f7381,f231]) ).
fof(f8982,plain,
( spl13_640
| ~ spl13_26
| ~ spl13_49
| ~ spl13_229 ),
inference(avatar_split_clause,[],[f2248,f2210,f410,f298,f8980]) ).
fof(f8980,plain,
( spl13_640
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,sK11),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK11),sK6(X4))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_640])]) ).
fof(f2248,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,sK11),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK11),sK6(X4))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_229 ),
inference(forward_demodulation,[],[f2246,f411]) ).
fof(f2246,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k7_relset_1(X1,X3,X4,X4,k9_relset_2(X1,X2,X3,X0,sK5(k2_zfmisc_1(X2,X3))),sK6(X4)) = k5_relat_1(k9_relset_2(X1,X2,X3,X0,sK5(k2_zfmisc_1(X2,X3))),sK6(X4)) )
| ~ spl13_26
| ~ spl13_229 ),
inference(resolution,[],[f2211,f299]) ).
fof(f8978,plain,
( spl13_639
| ~ spl13_51
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2142,f2130,f437,f8976]) ).
fof(f8976,plain,
( spl13_639
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_639])]) ).
fof(f2142,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl13_51
| ~ spl13_222 ),
inference(resolution,[],[f2131,f438]) ).
fof(f8974,plain,
( spl13_638
| ~ spl13_51
| ~ spl13_221 ),
inference(avatar_split_clause,[],[f2133,f2126,f437,f8972]) ).
fof(f8972,plain,
( spl13_638
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_638])]) ).
fof(f2133,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl13_51
| ~ spl13_221 ),
inference(resolution,[],[f2127,f438]) ).
fof(f8970,plain,
( spl13_637
| ~ spl13_37
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f2117,f1973,f347,f8968]) ).
fof(f8968,plain,
( spl13_637
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_637])]) ).
fof(f2117,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_219 ),
inference(resolution,[],[f1974,f348]) ).
fof(f8966,plain,
( spl13_636
| ~ spl13_37
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f2104,f1969,f347,f8964]) ).
fof(f8964,plain,
( spl13_636
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ m2_relset_1(X3,X0,X1)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_636])]) ).
fof(f2104,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ m2_relset_1(X3,X0,X1)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_218 ),
inference(resolution,[],[f1970,f348]) ).
fof(f8962,plain,
( spl13_635
| ~ spl13_25
| ~ spl13_35
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1871,f1817,f338,f294,f8960]) ).
fof(f8960,plain,
( spl13_635
<=> ! [X2,X0,X1] :
( k2_zfmisc_1(X1,X2) = sK11
| k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_635])]) ).
fof(f1871,plain,
( ! [X2,X0,X1] :
( k2_zfmisc_1(X1,X2) = sK11
| k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_204 ),
inference(forward_demodulation,[],[f1857,f340]) ).
fof(f1857,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X1,X2) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_204 ),
inference(resolution,[],[f1818,f295]) ).
fof(f8958,plain,
( spl13_634
| ~ spl13_25
| ~ spl13_35
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1853,f1813,f338,f294,f8956]) ).
fof(f8956,plain,
( spl13_634
<=> ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_634])]) ).
fof(f1853,plain,
( ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_203 ),
inference(forward_demodulation,[],[f1839,f340]) ).
fof(f1839,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| k2_zfmisc_1(X0,X1) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_203 ),
inference(resolution,[],[f1814,f295]) ).
fof(f8954,plain,
( spl13_633
| ~ spl13_143
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1638,f1603,f1183,f8952]) ).
fof(f8952,plain,
( spl13_633
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X1,X2),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_633])]) ).
fof(f1638,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X1,X2),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_143
| ~ spl13_188 ),
inference(resolution,[],[f1604,f1184]) ).
fof(f8950,plain,
( spl13_632
| ~ spl13_142
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1637,f1603,f1174,f8948]) ).
fof(f8948,plain,
( spl13_632
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_632])]) ).
fof(f1637,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_142
| ~ spl13_188 ),
inference(resolution,[],[f1604,f1175]) ).
fof(f8946,plain,
( spl13_631
| ~ spl13_141
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1636,f1603,f1170,f8944]) ).
fof(f8944,plain,
( spl13_631
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X1,X2),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_631])]) ).
fof(f1636,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X1,X2),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_141
| ~ spl13_188 ),
inference(resolution,[],[f1604,f1171]) ).
fof(f8937,plain,
( spl13_630
| ~ spl13_140
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1635,f1603,f1166,f8935]) ).
fof(f8935,plain,
( spl13_630
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X1,X2)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_630])]) ).
fof(f1635,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X1,X2)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_140
| ~ spl13_188 ),
inference(resolution,[],[f1604,f1167]) ).
fof(f8933,plain,
( spl13_629
| ~ spl13_143
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1619,f1591,f1183,f8931]) ).
fof(f8931,plain,
( spl13_629
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_629])]) ).
fof(f1619,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(X3,k5_relat_1(k2_zfmisc_1(X0,X1),X4))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_143
| ~ spl13_185 ),
inference(resolution,[],[f1592,f1184]) ).
fof(f8929,plain,
( spl13_628
| ~ spl13_142
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1618,f1591,f1174,f8927]) ).
fof(f8927,plain,
( spl13_628
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_628])]) ).
fof(f1618,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(X3,k5_relat_1(X4,k2_zfmisc_1(X0,X1)))
| ~ v1_relat_1(X4)
| ~ v1_relat_1(X3) )
| ~ spl13_142
| ~ spl13_185 ),
inference(resolution,[],[f1592,f1175]) ).
fof(f8925,plain,
( spl13_627
| ~ spl13_141
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1617,f1591,f1170,f8923]) ).
fof(f8923,plain,
( spl13_627
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_627])]) ).
fof(f1617,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(k5_relat_1(k2_zfmisc_1(X0,X1),X3),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_141
| ~ spl13_185 ),
inference(resolution,[],[f1592,f1171]) ).
fof(f8921,plain,
( spl13_626
| ~ spl13_140
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1616,f1591,f1166,f8919]) ).
fof(f8919,plain,
( spl13_626
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_626])]) ).
fof(f1616,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| sK11 = k5_relat_1(k5_relat_1(X3,k2_zfmisc_1(X0,X1)),X4)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X4) )
| ~ spl13_140
| ~ spl13_185 ),
inference(resolution,[],[f1592,f1167]) ).
fof(f8917,plain,
( spl13_625
| ~ spl13_97
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1121,f1075,f758,f8915]) ).
fof(f8915,plain,
( spl13_625
<=> ! [X2,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK11) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_625])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| k9_relset_2(X0,X1,X2,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK11) = k5_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))),sK11) )
| ~ spl13_97
| ~ spl13_127 ),
inference(resolution,[],[f1076,f759]) ).
fof(f8615,plain,
( spl13_624
| ~ spl13_8
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8227,f7380,f221,f8612]) ).
fof(f8612,plain,
( spl13_624
<=> sK11 = k5_relat_1(sK11,k5_relat_1(sK12,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_624])]) ).
fof(f8227,plain,
( sK11 = k5_relat_1(sK11,k5_relat_1(sK12,sK2))
| ~ spl13_8
| ~ spl13_578 ),
inference(resolution,[],[f7381,f223]) ).
fof(f8483,plain,
( spl13_623
| ~ spl13_51
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f2116,f1973,f437,f8481]) ).
fof(f8481,plain,
( spl13_623
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_623])]) ).
fof(f2116,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,X4),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl13_51
| ~ spl13_219 ),
inference(resolution,[],[f1974,f438]) ).
fof(f8479,plain,
( spl13_622
| ~ spl13_51
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f2103,f1969,f437,f8477]) ).
fof(f8477,plain,
( spl13_622
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_622])]) ).
fof(f2103,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,X4))
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl13_51
| ~ spl13_218 ),
inference(resolution,[],[f1970,f438]) ).
fof(f8475,plain,
( spl13_621
| ~ spl13_40
| ~ spl13_204 ),
inference(avatar_split_clause,[],[f1855,f1817,f363,f8473]) ).
fof(f8473,plain,
( spl13_621
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_621])]) ).
fof(f1855,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl13_40
| ~ spl13_204 ),
inference(resolution,[],[f1818,f364]) ).
fof(f8471,plain,
( spl13_620
| ~ spl13_40
| ~ spl13_203 ),
inference(avatar_split_clause,[],[f1837,f1813,f363,f8469]) ).
fof(f8469,plain,
( spl13_620
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_620])]) ).
fof(f1837,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl13_40
| ~ spl13_203 ),
inference(resolution,[],[f1814,f364]) ).
fof(f8467,plain,
( spl13_619
| ~ spl13_68
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1655,f1644,f554,f8465]) ).
fof(f8465,plain,
( spl13_619
<=> ! [X2,X4,X0,X5,X3,X1] :
( m1_subset_1(sK4(k7_relset_1(X0,X1,X2,X3,X4,X5)),k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| v1_xboole_0(k7_relset_1(X0,X1,X2,X3,X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_619])]) ).
fof(f1644,plain,
( spl13_189
<=> ! [X5,X4,X2,X0,X6,X3,X1] :
( ~ r2_hidden(X0,k7_relset_1(X1,X2,X3,X4,X5,X6))
| m1_subset_1(X0,k2_zfmisc_1(X1,X4))
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_189])]) ).
fof(f1655,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(sK4(k7_relset_1(X0,X1,X2,X3,X4,X5)),k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| v1_xboole_0(k7_relset_1(X0,X1,X2,X3,X4,X5)) )
| ~ spl13_68
| ~ spl13_189 ),
inference(resolution,[],[f1645,f555]) ).
fof(f1645,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(X0,k7_relset_1(X1,X2,X3,X4,X5,X6))
| m1_subset_1(X0,k2_zfmisc_1(X1,X4))
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) )
| ~ spl13_189 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f8323,plain,
( spl13_618
| ~ spl13_5
| ~ spl13_578 ),
inference(avatar_split_clause,[],[f8225,f7380,f206,f8320]) ).
fof(f8320,plain,
( spl13_618
<=> sK11 = k5_relat_1(sK11,k5_relat_1(sK10,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_618])]) ).
fof(f8225,plain,
( sK11 = k5_relat_1(sK11,k5_relat_1(sK10,sK2))
| ~ spl13_5
| ~ spl13_578 ),
inference(resolution,[],[f7381,f208]) ).
fof(f8318,plain,
( spl13_617
| ~ spl13_89
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1634,f1603,f695,f8316]) ).
fof(f8316,plain,
( spl13_617
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_617])]) ).
fof(f1634,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) )
| ~ spl13_89
| ~ spl13_188 ),
inference(resolution,[],[f1604,f696]) ).
fof(f8314,plain,
( spl13_616
| ~ spl13_88
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1633,f1603,f691,f8312]) ).
fof(f8312,plain,
( spl13_616
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_616])]) ).
fof(f1633,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X1,X2) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) )
| ~ spl13_88
| ~ spl13_188 ),
inference(resolution,[],[f1604,f692]) ).
fof(f8310,plain,
( spl13_615
| ~ spl13_89
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1615,f1591,f695,f8308]) ).
fof(f8308,plain,
( spl13_615
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_615])]) ).
fof(f1615,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X4,X3)
| ~ v1_relat_1(X4) )
| ~ spl13_89
| ~ spl13_185 ),
inference(resolution,[],[f1592,f696]) ).
fof(f8306,plain,
( spl13_614
| ~ spl13_88
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1614,f1591,f691,f8304]) ).
fof(f8304,plain,
( spl13_614
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_614])]) ).
fof(f1614,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_xboole_0(X3)
| k2_zfmisc_1(X0,X1) = k5_relat_1(X3,X4)
| ~ v1_relat_1(X4) )
| ~ spl13_88
| ~ spl13_185 ),
inference(resolution,[],[f1592,f692]) ).
fof(f8198,plain,
( spl13_613
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f2010,f1937,f8196]) ).
fof(f8196,plain,
( spl13_613
<=> ! [X0] :
( v1_xboole_0(k2_zfmisc_1(X0,X0))
| k9_relset_2(X0,X0,X0,sK3(k2_zfmisc_1(X0,X0)),sK3(k2_zfmisc_1(X0,X0))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X0)),sK3(k2_zfmisc_1(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_613])]) ).
fof(f2010,plain,
( ! [X0] :
( v1_xboole_0(k2_zfmisc_1(X0,X0))
| k9_relset_2(X0,X0,X0,sK3(k2_zfmisc_1(X0,X0)),sK3(k2_zfmisc_1(X0,X0))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X0)),sK3(k2_zfmisc_1(X0,X0))) )
| ~ spl13_210 ),
inference(factoring,[],[f1938]) ).
fof(f8194,plain,
( spl13_612
| ~ spl13_182
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1685,f1644,f1540,f8192]) ).
fof(f8192,plain,
( spl13_612
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2_hidden(X4,k5_relat_1(sK9(X0,X1),sK9(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_612])]) ).
fof(f1540,plain,
( spl13_182
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK9(X2,X3)) = k5_relat_1(sK9(X0,X1),sK9(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_182])]) ).
fof(f1685,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k5_relat_1(sK9(X0,X1),sK9(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_182
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1541]) ).
fof(f1541,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK9(X2,X3)) = k5_relat_1(sK9(X0,X1),sK9(X2,X3))
| ~ spl13_182 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f8190,plain,
( spl13_611
| ~ spl13_181
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1684,f1644,f1536,f8188]) ).
fof(f8188,plain,
( spl13_611
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2_hidden(X4,k5_relat_1(sK8(X0,X1),sK9(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_611])]) ).
fof(f1536,plain,
( spl13_181
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK9(X2,X3)) = k5_relat_1(sK8(X0,X1),sK9(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_181])]) ).
fof(f1684,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k5_relat_1(sK8(X0,X1),sK9(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_181
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1537]) ).
fof(f1537,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK9(X2,X3)) = k5_relat_1(sK8(X0,X1),sK9(X2,X3))
| ~ spl13_181 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f8186,plain,
( spl13_610
| ~ spl13_180
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1683,f1644,f1532,f8184]) ).
fof(f8184,plain,
( spl13_610
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2_hidden(X4,k5_relat_1(sK7(X0,X1),sK9(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_610])]) ).
fof(f1532,plain,
( spl13_180
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK9(X2,X3)) = k5_relat_1(sK7(X0,X1),sK9(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_180])]) ).
fof(f1683,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k5_relat_1(sK7(X0,X1),sK9(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_180
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1533]) ).
fof(f1533,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK9(X2,X3)) = k5_relat_1(sK7(X0,X1),sK9(X2,X3))
| ~ spl13_180 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f8182,plain,
( spl13_609
| ~ spl13_179
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1678,f1644,f1528,f8180]) ).
fof(f8180,plain,
( spl13_609
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2_hidden(X4,k5_relat_1(sK9(X0,X1),sK7(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_609])]) ).
fof(f1528,plain,
( spl13_179
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK7(X2,X3)) = k5_relat_1(sK9(X0,X1),sK7(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_179])]) ).
fof(f1678,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k5_relat_1(sK9(X0,X1),sK7(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_179
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1529]) ).
fof(f1529,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK7(X2,X3)) = k5_relat_1(sK9(X0,X1),sK7(X2,X3))
| ~ spl13_179 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f8178,plain,
( spl13_608
| ~ spl13_178
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1677,f1644,f1524,f8176]) ).
fof(f8176,plain,
( spl13_608
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2_hidden(X4,k5_relat_1(sK8(X0,X1),sK7(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_608])]) ).
fof(f1524,plain,
( spl13_178
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK7(X2,X3)) = k5_relat_1(sK8(X0,X1),sK7(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_178])]) ).
fof(f1677,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k5_relat_1(sK8(X0,X1),sK7(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_178
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1525]) ).
fof(f1525,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK7(X2,X3)) = k5_relat_1(sK8(X0,X1),sK7(X2,X3))
| ~ spl13_178 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f8174,plain,
( spl13_607
| ~ spl13_177
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1676,f1644,f1520,f8172]) ).
fof(f8172,plain,
( spl13_607
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2_hidden(X4,k5_relat_1(sK7(X0,X1),sK7(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_607])]) ).
fof(f1520,plain,
( spl13_177
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK7(X2,X3)) = k5_relat_1(sK7(X0,X1),sK7(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_177])]) ).
fof(f1676,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k5_relat_1(sK7(X0,X1),sK7(X2,X3)))
| m1_subset_1(X4,k2_zfmisc_1(X0,X3))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_177
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1521]) ).
fof(f1521,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK7(X2,X3)) = k5_relat_1(sK7(X0,X1),sK7(X2,X3))
| ~ spl13_177 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f8046,plain,
( spl13_606
| ~ spl13_26
| ~ spl13_49
| ~ spl13_222 ),
inference(avatar_split_clause,[],[f2150,f2130,f410,f298,f8044]) ).
fof(f8044,plain,
( spl13_606
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK11),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_606])]) ).
fof(f2150,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK11),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_222 ),
inference(forward_demodulation,[],[f2148,f411]) ).
fof(f2148,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_222 ),
inference(resolution,[],[f2131,f299]) ).
fof(f8042,plain,
( spl13_605
| ~ spl13_26
| ~ spl13_49
| ~ spl13_221 ),
inference(avatar_split_clause,[],[f2141,f2126,f410,f298,f8040]) ).
fof(f8040,plain,
( spl13_605
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK11))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_605])]) ).
fof(f2141,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK11))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_221 ),
inference(forward_demodulation,[],[f2139,f411]) ).
fof(f2139,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_26
| ~ spl13_221 ),
inference(resolution,[],[f2127,f299]) ).
fof(f8038,plain,
( spl13_604
| ~ spl13_37
| ~ spl13_202 ),
inference(avatar_split_clause,[],[f1801,f1777,f347,f8036]) ).
fof(f8036,plain,
( spl13_604
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,X3),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_604])]) ).
fof(f1801,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,X3),k6_relat_1(X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_202 ),
inference(resolution,[],[f1778,f348]) ).
fof(f8034,plain,
( spl13_603
| ~ spl13_37
| ~ spl13_201 ),
inference(avatar_split_clause,[],[f1785,f1773,f347,f8032]) ).
fof(f8032,plain,
( spl13_603
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,X3))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_603])]) ).
fof(f1785,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,X3))
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_201 ),
inference(resolution,[],[f1774,f348]) ).
fof(f8030,plain,
( spl13_602
| ~ spl13_1
| ~ spl13_286
| ~ spl13_401 ),
inference(avatar_split_clause,[],[f4511,f4478,f2838,f186,f8027]) ).
fof(f186,plain,
( spl13_1
<=> m2_relset_1(sK2,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f2838,plain,
( spl13_286
<=> sK2 = k5_relat_1(sK2,k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_286])]) ).
fof(f4478,plain,
( spl13_401
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X1,X2,k6_relat_1(X1)) = k5_relat_1(X2,k6_relat_1(X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_401])]) ).
fof(f4511,plain,
( sK2 = k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1))
| ~ spl13_1
| ~ spl13_286
| ~ spl13_401 ),
inference(forward_demodulation,[],[f4505,f2840]) ).
fof(f2840,plain,
( sK2 = k5_relat_1(sK2,k6_relat_1(sK1))
| ~ spl13_286 ),
inference(avatar_component_clause,[],[f2838]) ).
fof(f4505,plain,
( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) = k5_relat_1(sK2,k6_relat_1(sK1))
| ~ spl13_1
| ~ spl13_401 ),
inference(resolution,[],[f4479,f188]) ).
fof(f188,plain,
( m2_relset_1(sK2,sK0,sK1)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f4479,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k9_relset_2(X0,X1,X1,X2,k6_relat_1(X1)) = k5_relat_1(X2,k6_relat_1(X1)) )
| ~ spl13_401 ),
inference(avatar_component_clause,[],[f4478]) ).
fof(f8025,plain,
( spl13_601
| ~ spl13_81
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1632,f1603,f640,f8023]) ).
fof(f8023,plain,
( spl13_601
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_601])]) ).
fof(f1632,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_81
| ~ spl13_188 ),
inference(resolution,[],[f1604,f641]) ).
fof(f8021,plain,
( spl13_600
| ~ spl13_80
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1631,f1603,f636,f8019]) ).
fof(f8019,plain,
( spl13_600
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X1,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_600])]) ).
fof(f1631,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X1,X2),X3) )
| ~ spl13_80
| ~ spl13_188 ),
inference(resolution,[],[f1604,f637]) ).
fof(f8017,plain,
( spl13_599
| ~ spl13_81
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1613,f1591,f640,f8015]) ).
fof(f8015,plain,
( spl13_599
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_599])]) ).
fof(f1613,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_81
| ~ spl13_185 ),
inference(resolution,[],[f1592,f641]) ).
fof(f8013,plain,
( spl13_598
| ~ spl13_80
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1612,f1591,f636,f8011]) ).
fof(f8011,plain,
( spl13_598
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_598])]) ).
fof(f1612,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ v1_relat_1(X3)
| sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),X3) )
| ~ spl13_80
| ~ spl13_185 ),
inference(resolution,[],[f1592,f637]) ).
fof(f7811,plain,
( spl13_597
| ~ spl13_74
| ~ spl13_363 ),
inference(avatar_split_clause,[],[f3801,f3593,f604,f7809]) ).
fof(f7809,plain,
( spl13_597
<=> ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(sK11,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_597])]) ).
fof(f604,plain,
( spl13_74
<=> v1_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f3593,plain,
( spl13_363
<=> ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(sK11,X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_363])]) ).
fof(f3801,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(sK11,X0),sK2) )
| ~ spl13_74
| ~ spl13_363 ),
inference(resolution,[],[f3594,f606]) ).
fof(f606,plain,
( v1_relat_1(sK2)
| ~ spl13_74 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f3594,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(sK11,X0),X1) )
| ~ spl13_363 ),
inference(avatar_component_clause,[],[f3593]) ).
fof(f7463,plain,
( spl13_596
| ~ spl13_74
| ~ spl13_362 ),
inference(avatar_split_clause,[],[f3770,f3589,f604,f7461]) ).
fof(f7461,plain,
( spl13_596
<=> ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X0,sK11),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_596])]) ).
fof(f3589,plain,
( spl13_362
<=> ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,sK11),X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_362])]) ).
fof(f3770,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X0,sK11),sK2) )
| ~ spl13_74
| ~ spl13_362 ),
inference(resolution,[],[f3590,f606]) ).
fof(f3590,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X0,sK11),X1) )
| ~ spl13_362 ),
inference(avatar_component_clause,[],[f3589]) ).
fof(f7450,plain,
( spl13_595
| ~ spl13_26
| ~ spl13_49
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f2124,f1973,f410,f298,f7448]) ).
fof(f7448,plain,
( spl13_595
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK11),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_595])]) ).
fof(f2124,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK11),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_219 ),
inference(forward_demodulation,[],[f2122,f411]) ).
fof(f2122,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))),k6_relat_1(X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_26
| ~ spl13_219 ),
inference(resolution,[],[f1974,f299]) ).
fof(f7446,plain,
( spl13_594
| ~ spl13_26
| ~ spl13_49
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f2111,f1969,f410,f298,f7444]) ).
fof(f7444,plain,
( spl13_594
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK11))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_594])]) ).
fof(f2111,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK11))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_218 ),
inference(forward_demodulation,[],[f2109,f411]) ).
fof(f2109,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_26
| ~ spl13_218 ),
inference(resolution,[],[f1970,f299]) ).
fof(f7442,plain,
( spl13_593
| ~ spl13_51
| ~ spl13_202 ),
inference(avatar_split_clause,[],[f1800,f1777,f437,f7440]) ).
fof(f7440,plain,
( spl13_593
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,X3),k6_relat_1(X2))
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_593])]) ).
fof(f1800,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,X3),k6_relat_1(X2))
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_51
| ~ spl13_202 ),
inference(resolution,[],[f1778,f438]) ).
fof(f7438,plain,
( spl13_592
| ~ spl13_51
| ~ spl13_201 ),
inference(avatar_split_clause,[],[f1784,f1773,f437,f7436]) ).
fof(f7436,plain,
( spl13_592
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,X3))
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_592])]) ).
fof(f1784,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,X3))
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_51
| ~ spl13_201 ),
inference(resolution,[],[f1774,f438]) ).
fof(f7434,plain,
( spl13_591
| ~ spl13_17
| ~ spl13_199 ),
inference(avatar_split_clause,[],[f1767,f1758,f258,f7432]) ).
fof(f7432,plain,
( spl13_591
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,k2_zfmisc_1(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(k2_zfmisc_1(X2,X0),sK3(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_591])]) ).
fof(f258,plain,
( spl13_17
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f1758,plain,
( spl13_199
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_199])]) ).
fof(f1767,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,k2_zfmisc_1(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(k2_zfmisc_1(X2,X0),sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_17
| ~ spl13_199 ),
inference(resolution,[],[f1759,f259]) ).
fof(f259,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f1759,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_199 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f7430,plain,
( spl13_590
| ~ spl13_17
| ~ spl13_198 ),
inference(avatar_split_clause,[],[f1766,f1754,f258,f7428]) ).
fof(f7428,plain,
( spl13_590
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_590])]) ).
fof(f1754,plain,
( spl13_198
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_198])]) ).
fof(f1766,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_17
| ~ spl13_198 ),
inference(resolution,[],[f1755,f259]) ).
fof(f1755,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),X3)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_198 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f7426,plain,
( spl13_589
| ~ spl13_74
| ~ spl13_359 ),
inference(avatar_split_clause,[],[f3712,f3577,f604,f7424]) ).
fof(f3577,plain,
( spl13_359
<=> ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,X1),sK11)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_359])]) ).
fof(f3712,plain,
( ! [X0] :
( sK11 = k5_relat_1(k5_relat_1(X0,sK2),sK11)
| ~ v1_relat_1(X0) )
| ~ spl13_74
| ~ spl13_359 ),
inference(resolution,[],[f3578,f606]) ).
fof(f3578,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X1)
| sK11 = k5_relat_1(k5_relat_1(X0,X1),sK11)
| ~ v1_relat_1(X0) )
| ~ spl13_359 ),
inference(avatar_component_clause,[],[f3577]) ).
fof(f7422,plain,
( spl13_588
| ~ spl13_72
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1745,f1725,f575,f7420]) ).
fof(f7420,plain,
( spl13_588
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,sK9(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK9(X2,X0),sK3(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_588])]) ).
fof(f575,plain,
( spl13_72
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f1725,plain,
( spl13_196
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_196])]) ).
fof(f1745,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,sK9(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK9(X2,X0),sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_72
| ~ spl13_196 ),
inference(resolution,[],[f1726,f576]) ).
fof(f576,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl13_72 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1726,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_196 ),
inference(avatar_component_clause,[],[f1725]) ).
fof(f7418,plain,
( spl13_587
| ~ spl13_33
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1744,f1725,f330,f7416]) ).
fof(f7416,plain,
( spl13_587
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,sK8(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK8(X2,X0),sK3(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_587])]) ).
fof(f330,plain,
( spl13_33
<=> ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f1744,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,sK8(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK8(X2,X0),sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_33
| ~ spl13_196 ),
inference(resolution,[],[f1726,f331]) ).
fof(f331,plain,
( ! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1)
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f7414,plain,
( spl13_586
| ~ spl13_71
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1743,f1725,f571,f7412]) ).
fof(f7412,plain,
( spl13_586
<=> ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,sK7(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK7(X2,X0),sK3(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_586])]) ).
fof(f571,plain,
( spl13_71
<=> ! [X0,X1] : m2_relset_1(sK7(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f1743,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X2,X0,X1,sK7(X2,X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK7(X2,X0),sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_71
| ~ spl13_196 ),
inference(resolution,[],[f1726,f572]) ).
fof(f572,plain,
( ! [X0,X1] : m2_relset_1(sK7(X0,X1),X0,X1)
| ~ spl13_71 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f7410,plain,
( spl13_585
| ~ spl13_72
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1736,f1721,f575,f7408]) ).
fof(f7408,plain,
( spl13_585
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK9(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK9(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_585])]) ).
fof(f1721,plain,
( spl13_195
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),X3)
| ~ m2_relset_1(X3,X1,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_195])]) ).
fof(f1736,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK9(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK9(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_72
| ~ spl13_195 ),
inference(resolution,[],[f1722,f576]) ).
fof(f1722,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),X3)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_195 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f7406,plain,
( spl13_584
| ~ spl13_33
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1735,f1721,f330,f7404]) ).
fof(f7404,plain,
( spl13_584
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK8(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK8(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_584])]) ).
fof(f1735,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK8(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK8(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_33
| ~ spl13_195 ),
inference(resolution,[],[f1722,f331]) ).
fof(f7402,plain,
( spl13_583
| ~ spl13_71
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1734,f1721,f571,f7400]) ).
fof(f7400,plain,
( spl13_583
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK7(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK7(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_583])]) ).
fof(f1734,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK7(X1,X2)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK7(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_71
| ~ spl13_195 ),
inference(resolution,[],[f1722,f572]) ).
fof(f7398,plain,
( spl13_582
| ~ spl13_168
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1682,f1644,f1429,f7396]) ).
fof(f7396,plain,
( spl13_582
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK6(X0),sK9(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_582])]) ).
fof(f1429,plain,
( spl13_168
<=> ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK9(X1,X2)) = k5_relat_1(sK6(X0),sK9(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_168])]) ).
fof(f1682,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK6(X0),sK9(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_168
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1430]) ).
fof(f1430,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK9(X1,X2)) = k5_relat_1(sK6(X0),sK9(X1,X2))
| ~ spl13_168 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f7394,plain,
( spl13_581
| ~ spl13_167
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1681,f1644,f1425,f7392]) ).
fof(f7392,plain,
( spl13_581
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(k6_relat_1(X0),sK9(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_581])]) ).
fof(f1425,plain,
( spl13_167
<=> ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK9(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK9(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_167])]) ).
fof(f1681,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(k6_relat_1(X0),sK9(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_167
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1426]) ).
fof(f1426,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK9(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK9(X1,X2))
| ~ spl13_167 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f7390,plain,
( spl13_580
| ~ spl13_166
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1675,f1644,f1421,f7388]) ).
fof(f7388,plain,
( spl13_580
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK6(X0),sK7(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_580])]) ).
fof(f1421,plain,
( spl13_166
<=> ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK7(X1,X2)) = k5_relat_1(sK6(X0),sK7(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_166])]) ).
fof(f1675,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK6(X0),sK7(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_166
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1422]) ).
fof(f1422,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK7(X1,X2)) = k5_relat_1(sK6(X0),sK7(X1,X2))
| ~ spl13_166 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f7386,plain,
( spl13_579
| ~ spl13_164
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1674,f1644,f1412,f7384]) ).
fof(f7384,plain,
( spl13_579
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(k6_relat_1(X0),sK7(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_579])]) ).
fof(f1412,plain,
( spl13_164
<=> ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK7(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK7(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_164])]) ).
fof(f1674,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(k6_relat_1(X0),sK7(X1,X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_164
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1413]) ).
fof(f1413,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK7(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK7(X1,X2))
| ~ spl13_164 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f7382,plain,
( spl13_578
| ~ spl13_74
| ~ spl13_356 ),
inference(avatar_split_clause,[],[f3654,f3565,f604,f7380]) ).
fof(f3565,plain,
( spl13_356
<=> ! [X0,X1] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_356])]) ).
fof(f3654,plain,
( ! [X0] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,sK2))
| ~ v1_relat_1(X0) )
| ~ spl13_74
| ~ spl13_356 ),
inference(resolution,[],[f3566,f606]) ).
fof(f3566,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X1)
| sK11 = k5_relat_1(sK11,k5_relat_1(X0,X1))
| ~ v1_relat_1(X0) )
| ~ spl13_356 ),
inference(avatar_component_clause,[],[f3565]) ).
fof(f7378,plain,
( spl13_577
| ~ spl13_163
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1672,f1644,f1408,f7376]) ).
fof(f7376,plain,
( spl13_577
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK9(X0,X1),sK6(X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_577])]) ).
fof(f1408,plain,
( spl13_163
<=> ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),sK6(X2)) = k5_relat_1(sK9(X0,X1),sK6(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_163])]) ).
fof(f1672,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK9(X0,X1),sK6(X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_163
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1409]) ).
fof(f1409,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),sK6(X2)) = k5_relat_1(sK9(X0,X1),sK6(X2))
| ~ spl13_163 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f7374,plain,
( spl13_576
| ~ spl13_162
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1671,f1644,f1404,f7372]) ).
fof(f7372,plain,
( spl13_576
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK8(X0,X1),sK6(X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_576])]) ).
fof(f1404,plain,
( spl13_162
<=> ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),sK6(X2)) = k5_relat_1(sK8(X0,X1),sK6(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_162])]) ).
fof(f1671,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK8(X0,X1),sK6(X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_162
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1405]) ).
fof(f1405,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),sK6(X2)) = k5_relat_1(sK8(X0,X1),sK6(X2))
| ~ spl13_162 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f7370,plain,
( spl13_575
| ~ spl13_161
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1670,f1644,f1400,f7368]) ).
fof(f7368,plain,
( spl13_575
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK7(X0,X1),sK6(X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_575])]) ).
fof(f1400,plain,
( spl13_161
<=> ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),sK6(X2)) = k5_relat_1(sK7(X0,X1),sK6(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_161])]) ).
fof(f1670,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_relat_1(sK7(X0,X1),sK6(X2)))
| m1_subset_1(X3,k2_zfmisc_1(X0,X2))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_161
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1401]) ).
fof(f1401,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),sK6(X2)) = k5_relat_1(sK7(X0,X1),sK6(X2))
| ~ spl13_161 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f7366,plain,
( spl13_574
| ~ spl13_95
| ~ spl13_154 ),
inference(avatar_split_clause,[],[f1349,f1305,f747,f7364]) ).
fof(f7364,plain,
( spl13_574
<=> ! [X0,X3,X2,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_574])]) ).
fof(f747,plain,
( spl13_95
<=> ! [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,[spl13_95])]) ).
fof(f1305,plain,
( spl13_154
<=> ! [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,[spl13_154])]) ).
fof(f1349,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) )
| ~ spl13_95
| ~ spl13_154 ),
inference(resolution,[],[f1306,f748]) ).
fof(f748,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) )
| ~ spl13_95 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f1306,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_154 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f7282,plain,
( spl13_573
| ~ spl13_38
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1629,f1603,f351,f7280]) ).
fof(f7280,plain,
( spl13_573
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X1,X2) = X3
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_573])]) ).
fof(f1629,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X1,X2) = X3
| ~ v1_xboole_0(X3) )
| ~ spl13_38
| ~ spl13_188 ),
inference(resolution,[],[f1604,f352]) ).
fof(f7278,plain,
( spl13_572
| ~ spl13_90
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1625,f1603,f699,f7276]) ).
fof(f7276,plain,
( spl13_572
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_572])]) ).
fof(f1625,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X4,X3) )
| ~ spl13_90
| ~ spl13_188 ),
inference(resolution,[],[f1604,f700]) ).
fof(f7274,plain,
( spl13_571
| ~ spl13_29
| ~ spl13_61
| ~ spl13_241
| ~ spl13_247 ),
inference(avatar_split_clause,[],[f2465,f2455,f2413,f511,f310,f7271]) ).
fof(f310,plain,
( spl13_29
<=> ! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f511,plain,
( spl13_61
<=> sK2 = k7_relset_1(sK0,sK0,sK0,sK1,k6_relat_1(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f2413,plain,
( spl13_241
<=> ! [X0] : k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2) = k5_relat_1(k6_relat_1(X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_241])]) ).
fof(f2455,plain,
( spl13_247
<=> ! [X0,X1] :
( k9_relset_2(X0,sK0,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ m2_relset_1(X1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_247])]) ).
fof(f2465,plain,
( sK2 = k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2)
| ~ spl13_29
| ~ spl13_61
| ~ spl13_241
| ~ spl13_247 ),
inference(forward_demodulation,[],[f2459,f2433]) ).
fof(f2433,plain,
( sK2 = k5_relat_1(k6_relat_1(sK0),sK2)
| ~ spl13_61
| ~ spl13_241 ),
inference(superposition,[],[f2414,f513]) ).
fof(f513,plain,
( sK2 = k7_relset_1(sK0,sK0,sK0,sK1,k6_relat_1(sK0),sK2)
| ~ spl13_61 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f2414,plain,
( ! [X0] : k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2) = k5_relat_1(k6_relat_1(X0),sK2)
| ~ spl13_241 ),
inference(avatar_component_clause,[],[f2413]) ).
fof(f2459,plain,
( k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) = k5_relat_1(k6_relat_1(sK0),sK2)
| ~ spl13_29
| ~ spl13_247 ),
inference(resolution,[],[f2456,f311]) ).
fof(f311,plain,
( ! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0)
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f2456,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,X0,sK0)
| k9_relset_2(X0,sK0,sK1,X1,sK2) = k5_relat_1(X1,sK2) )
| ~ spl13_247 ),
inference(avatar_component_clause,[],[f2455]) ).
fof(f7269,plain,
( spl13_570
| ~ spl13_38
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1610,f1591,f351,f7267]) ).
fof(f7267,plain,
( spl13_570
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_570])]) ).
fof(f1610,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k2_zfmisc_1(X0,X1) = X3
| ~ v1_xboole_0(X3) )
| ~ spl13_38
| ~ spl13_185 ),
inference(resolution,[],[f1592,f352]) ).
fof(f7265,plain,
( spl13_569
| ~ spl13_90
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1606,f1591,f699,f7263]) ).
fof(f7263,plain,
( spl13_569
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_569])]) ).
fof(f1606,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X4,X3) )
| ~ spl13_90
| ~ spl13_185 ),
inference(resolution,[],[f1592,f700]) ).
fof(f6943,plain,
( spl13_568
| ~ spl13_123
| ~ spl13_269 ),
inference(avatar_split_clause,[],[f2725,f2681,f1017,f6941]) ).
fof(f6941,plain,
( spl13_568
<=> ! [X0] : sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK6(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_568])]) ).
fof(f2681,plain,
( spl13_269
<=> ! [X0] : v1_relat_1(k5_relat_1(sK2,sK6(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_269])]) ).
fof(f2725,plain,
( ! [X0] : sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK6(X0)))
| ~ spl13_123
| ~ spl13_269 ),
inference(resolution,[],[f2682,f1018]) ).
fof(f2682,plain,
( ! [X0] : v1_relat_1(k5_relat_1(sK2,sK6(X0)))
| ~ spl13_269 ),
inference(avatar_component_clause,[],[f2681]) ).
fof(f6918,plain,
( spl13_567
| ~ spl13_124
| ~ spl13_269 ),
inference(avatar_split_clause,[],[f2724,f2681,f1021,f6916]) ).
fof(f6916,plain,
( spl13_567
<=> ! [X0] : sK11 = k5_relat_1(k5_relat_1(sK2,sK6(X0)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_567])]) ).
fof(f2724,plain,
( ! [X0] : sK11 = k5_relat_1(k5_relat_1(sK2,sK6(X0)),sK11)
| ~ spl13_124
| ~ spl13_269 ),
inference(resolution,[],[f2682,f1022]) ).
fof(f6890,plain,
( spl13_566
| ~ spl13_34
| ~ spl13_182
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f2101,f1961,f1540,f334,f6888]) ).
fof(f6888,plain,
( spl13_566
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK9(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK9(X0,X1),sK9(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_566])]) ).
fof(f1961,plain,
( spl13_216
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_216])]) ).
fof(f2101,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK9(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK9(X0,X1),sK9(X2,X3)),k6_relat_1(X3))
| ~ spl13_34
| ~ spl13_182
| ~ spl13_216 ),
inference(forward_demodulation,[],[f2094,f1541]) ).
fof(f2094,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK9(X2,X3)),k6_relat_1(X3))
| ~ spl13_34
| ~ spl13_216 ),
inference(resolution,[],[f1962,f335]) ).
fof(f1962,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0),k6_relat_1(X2)) )
| ~ spl13_216 ),
inference(avatar_component_clause,[],[f1961]) ).
fof(f6886,plain,
( spl13_565
| ~ spl13_34
| ~ spl13_70
| ~ spl13_175
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f2100,f1961,f1507,f567,f334,f6884]) ).
fof(f6884,plain,
( spl13_565
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK9(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK9(X0,X1),sK8(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_565])]) ).
fof(f2100,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK9(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK9(X0,X1),sK8(X2,X3)),k6_relat_1(X3))
| ~ spl13_34
| ~ spl13_70
| ~ spl13_175
| ~ spl13_216 ),
inference(forward_demodulation,[],[f2093,f1557]) ).
fof(f1557,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK8(X2,X3)) = k5_relat_1(sK9(X0,X1),sK8(X2,X3))
| ~ spl13_34
| ~ spl13_175 ),
inference(resolution,[],[f1508,f335]) ).
fof(f2093,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK8(X2,X3)),k6_relat_1(X3))
| ~ spl13_70
| ~ spl13_216 ),
inference(resolution,[],[f1962,f568]) ).
fof(f6877,plain,
( spl13_564
| ~ spl13_32
| ~ spl13_179
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f2099,f1961,f1528,f326,f6875]) ).
fof(f6875,plain,
( spl13_564
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK9(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK9(X0,X1),sK7(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_564])]) ).
fof(f2099,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK9(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK9(X0,X1),sK7(X2,X3)),k6_relat_1(X3))
| ~ spl13_32
| ~ spl13_179
| ~ spl13_216 ),
inference(forward_demodulation,[],[f2092,f1529]) ).
fof(f2092,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK7(X2,X3)),k6_relat_1(X3))
| ~ spl13_32
| ~ spl13_216 ),
inference(resolution,[],[f1962,f327]) ).
fof(f6873,plain,
( spl13_563
| ~ spl13_34
| ~ spl13_181
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f2086,f1957,f1536,f334,f6871]) ).
fof(f6871,plain,
( spl13_563
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK8(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK8(X0,X1),sK9(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_563])]) ).
fof(f1957,plain,
( spl13_215
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_215])]) ).
fof(f2086,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK8(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK8(X0,X1),sK9(X2,X3)),k6_relat_1(X3))
| ~ spl13_34
| ~ spl13_181
| ~ spl13_215 ),
inference(forward_demodulation,[],[f2079,f1537]) ).
fof(f2079,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK9(X2,X3)),k6_relat_1(X3))
| ~ spl13_34
| ~ spl13_215 ),
inference(resolution,[],[f1958,f335]) ).
fof(f1958,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0),k6_relat_1(X2)) )
| ~ spl13_215 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f6869,plain,
( spl13_562
| ~ spl13_70
| ~ spl13_175
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f2085,f1957,f1507,f567,f6867]) ).
fof(f6867,plain,
( spl13_562
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK8(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK8(X0,X1),sK8(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_562])]) ).
fof(f2085,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK8(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK8(X0,X1),sK8(X2,X3)),k6_relat_1(X3))
| ~ spl13_70
| ~ spl13_175
| ~ spl13_215 ),
inference(forward_demodulation,[],[f2078,f1556]) ).
fof(f1556,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK8(X2,X3)) = k5_relat_1(sK8(X0,X1),sK8(X2,X3))
| ~ spl13_70
| ~ spl13_175 ),
inference(resolution,[],[f1508,f568]) ).
fof(f2078,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK8(X2,X3)),k6_relat_1(X3))
| ~ spl13_70
| ~ spl13_215 ),
inference(resolution,[],[f1958,f568]) ).
fof(f6865,plain,
( spl13_561
| ~ spl13_32
| ~ spl13_178
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f2084,f1957,f1524,f326,f6863]) ).
fof(f6863,plain,
( spl13_561
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK8(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK8(X0,X1),sK7(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_561])]) ).
fof(f2084,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK8(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK8(X0,X1),sK7(X2,X3)),k6_relat_1(X3))
| ~ spl13_32
| ~ spl13_178
| ~ spl13_215 ),
inference(forward_demodulation,[],[f2077,f1525]) ).
fof(f2077,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK7(X2,X3)),k6_relat_1(X3))
| ~ spl13_32
| ~ spl13_215 ),
inference(resolution,[],[f1958,f327]) ).
fof(f6861,plain,
( spl13_560
| ~ spl13_34
| ~ spl13_180
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f2071,f1953,f1532,f334,f6859]) ).
fof(f6859,plain,
( spl13_560
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK7(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK7(X0,X1),sK9(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_560])]) ).
fof(f1953,plain,
( spl13_214
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_214])]) ).
fof(f2071,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK7(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK7(X0,X1),sK9(X2,X3)),k6_relat_1(X3))
| ~ spl13_34
| ~ spl13_180
| ~ spl13_214 ),
inference(forward_demodulation,[],[f2064,f1533]) ).
fof(f2064,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK9(X2,X3)),k6_relat_1(X3))
| ~ spl13_34
| ~ spl13_214 ),
inference(resolution,[],[f1954,f335]) ).
fof(f1954,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0),k6_relat_1(X2)) )
| ~ spl13_214 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f6857,plain,
( spl13_559
| ~ spl13_32
| ~ spl13_70
| ~ spl13_175
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f2070,f1953,f1507,f567,f326,f6855]) ).
fof(f6855,plain,
( spl13_559
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK7(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK7(X0,X1),sK8(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_559])]) ).
fof(f2070,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK7(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK7(X0,X1),sK8(X2,X3)),k6_relat_1(X3))
| ~ spl13_32
| ~ spl13_70
| ~ spl13_175
| ~ spl13_214 ),
inference(forward_demodulation,[],[f2063,f1555]) ).
fof(f1555,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK8(X2,X3)) = k5_relat_1(sK7(X0,X1),sK8(X2,X3))
| ~ spl13_32
| ~ spl13_175 ),
inference(resolution,[],[f1508,f327]) ).
fof(f2063,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK8(X2,X3)),k6_relat_1(X3))
| ~ spl13_70
| ~ spl13_214 ),
inference(resolution,[],[f1954,f568]) ).
fof(f6853,plain,
( spl13_558
| ~ spl13_32
| ~ spl13_177
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f2069,f1953,f1520,f326,f6851]) ).
fof(f6851,plain,
( spl13_558
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK7(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK7(X0,X1),sK7(X2,X3)),k6_relat_1(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_558])]) ).
fof(f2069,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK7(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k5_relat_1(sK7(X0,X1),sK7(X2,X3)),k6_relat_1(X3))
| ~ spl13_32
| ~ spl13_177
| ~ spl13_214 ),
inference(forward_demodulation,[],[f2062,f1521]) ).
fof(f2062,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X3,X3,X3,k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK7(X2,X3)),k6_relat_1(X3))
| ~ spl13_32
| ~ spl13_214 ),
inference(resolution,[],[f1954,f327]) ).
fof(f6849,plain,
( spl13_557
| ~ spl13_34
| ~ spl13_182
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f2056,f1949,f1540,f334,f6847]) ).
fof(f6847,plain,
( spl13_557
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK9(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK9(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_557])]) ).
fof(f1949,plain,
( spl13_213
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_213])]) ).
fof(f2056,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK9(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK9(X2,X3)))
| ~ spl13_34
| ~ spl13_182
| ~ spl13_213 ),
inference(forward_demodulation,[],[f2049,f1541]) ).
fof(f2049,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK9(X2,X3)))
| ~ spl13_34
| ~ spl13_213 ),
inference(resolution,[],[f1950,f335]) ).
fof(f1950,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0)) )
| ~ spl13_213 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f6845,plain,
( spl13_556
| ~ spl13_34
| ~ spl13_70
| ~ spl13_175
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f2055,f1949,f1507,f567,f334,f6843]) ).
fof(f6843,plain,
( spl13_556
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK9(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK8(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_556])]) ).
fof(f2055,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK9(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK8(X2,X3)))
| ~ spl13_34
| ~ spl13_70
| ~ spl13_175
| ~ spl13_213 ),
inference(forward_demodulation,[],[f2048,f1557]) ).
fof(f2048,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK8(X2,X3)))
| ~ spl13_70
| ~ spl13_213 ),
inference(resolution,[],[f1950,f568]) ).
fof(f6841,plain,
( spl13_555
| ~ spl13_32
| ~ spl13_179
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f2054,f1949,f1528,f326,f6839]) ).
fof(f6839,plain,
( spl13_555
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK9(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK7(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_555])]) ).
fof(f2054,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK9(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK7(X2,X3)))
| ~ spl13_32
| ~ spl13_179
| ~ spl13_213 ),
inference(forward_demodulation,[],[f2047,f1529]) ).
fof(f2047,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK7(X2,X3)))
| ~ spl13_32
| ~ spl13_213 ),
inference(resolution,[],[f1950,f327]) ).
fof(f6832,plain,
( spl13_554
| ~ spl13_34
| ~ spl13_181
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f2041,f1945,f1536,f334,f6830]) ).
fof(f6830,plain,
( spl13_554
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK8(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK9(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_554])]) ).
fof(f1945,plain,
( spl13_212
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_212])]) ).
fof(f2041,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK8(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK9(X2,X3)))
| ~ spl13_34
| ~ spl13_181
| ~ spl13_212 ),
inference(forward_demodulation,[],[f2034,f1537]) ).
fof(f2034,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK9(X2,X3)))
| ~ spl13_34
| ~ spl13_212 ),
inference(resolution,[],[f1946,f335]) ).
fof(f1946,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0)) )
| ~ spl13_212 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f6828,plain,
( spl13_553
| ~ spl13_70
| ~ spl13_175
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f2040,f1945,f1507,f567,f6826]) ).
fof(f6826,plain,
( spl13_553
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK8(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK8(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_553])]) ).
fof(f2040,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK8(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK8(X2,X3)))
| ~ spl13_70
| ~ spl13_175
| ~ spl13_212 ),
inference(forward_demodulation,[],[f2033,f1556]) ).
fof(f2033,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK8(X2,X3)))
| ~ spl13_70
| ~ spl13_212 ),
inference(resolution,[],[f1946,f568]) ).
fof(f6824,plain,
( spl13_552
| ~ spl13_32
| ~ spl13_178
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f2039,f1945,f1524,f326,f6822]) ).
fof(f6822,plain,
( spl13_552
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK8(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK7(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_552])]) ).
fof(f2039,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK8(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK7(X2,X3)))
| ~ spl13_32
| ~ spl13_178
| ~ spl13_212 ),
inference(forward_demodulation,[],[f2032,f1525]) ).
fof(f2032,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK7(X2,X3)))
| ~ spl13_32
| ~ spl13_212 ),
inference(resolution,[],[f1946,f327]) ).
fof(f6820,plain,
( spl13_551
| ~ spl13_34
| ~ spl13_180
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f2026,f1941,f1532,f334,f6818]) ).
fof(f6818,plain,
( spl13_551
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK7(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK9(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_551])]) ).
fof(f1941,plain,
( spl13_211
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_211])]) ).
fof(f2026,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK7(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK9(X2,X3)))
| ~ spl13_34
| ~ spl13_180
| ~ spl13_211 ),
inference(forward_demodulation,[],[f2019,f1533]) ).
fof(f2019,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK9(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK9(X2,X3)))
| ~ spl13_34
| ~ spl13_211 ),
inference(resolution,[],[f1942,f335]) ).
fof(f1942,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0)) )
| ~ spl13_211 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f6816,plain,
( spl13_550
| ~ spl13_32
| ~ spl13_70
| ~ spl13_175
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f2025,f1941,f1507,f567,f326,f6814]) ).
fof(f6814,plain,
( spl13_550
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK7(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK8(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_550])]) ).
fof(f2025,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK7(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK8(X2,X3)))
| ~ spl13_32
| ~ spl13_70
| ~ spl13_175
| ~ spl13_211 ),
inference(forward_demodulation,[],[f2018,f1555]) ).
fof(f2018,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK8(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK8(X2,X3)))
| ~ spl13_70
| ~ spl13_211 ),
inference(resolution,[],[f1942,f568]) ).
fof(f6812,plain,
( spl13_549
| ~ spl13_32
| ~ spl13_177
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f2024,f1941,f1520,f326,f6810]) ).
fof(f6810,plain,
( spl13_549
<=> ! [X0,X3,X2,X1] : k5_relat_1(sK7(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK7(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_549])]) ).
fof(f2024,plain,
( ! [X2,X3,X0,X1] : k5_relat_1(sK7(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK7(X2,X3)))
| ~ spl13_32
| ~ spl13_177
| ~ spl13_211 ),
inference(forward_demodulation,[],[f2017,f1521]) ).
fof(f2017,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK7(X2,X3)) = k7_relset_1(X0,X0,X0,X3,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK7(X2,X3)))
| ~ spl13_32
| ~ spl13_211 ),
inference(resolution,[],[f1942,f327]) ).
fof(f6808,plain,
( spl13_548
| ~ spl13_65
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1742,f1725,f533,f6806]) ).
fof(f6806,plain,
( spl13_548
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X0,X1,sK6(X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK6(X0),sK3(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_548])]) ).
fof(f533,plain,
( spl13_65
<=> ! [X0] : m2_relset_1(sK6(X0),X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).
fof(f1742,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X0,X1,sK6(X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(sK6(X0),sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_65
| ~ spl13_196 ),
inference(resolution,[],[f1726,f534]) ).
fof(f534,plain,
( ! [X0] : m2_relset_1(sK6(X0),X0,X0)
| ~ spl13_65 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f6804,plain,
( spl13_547
| ~ spl13_29
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1739,f1725,f310,f6802]) ).
fof(f6802,plain,
( spl13_547
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X0,X1,k6_relat_1(X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(k6_relat_1(X0),sK3(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_547])]) ).
fof(f1739,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X0,X1,k6_relat_1(X0),sK3(k2_zfmisc_1(X0,X1))) = k5_relat_1(k6_relat_1(X0),sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_29
| ~ spl13_196 ),
inference(resolution,[],[f1726,f311]) ).
fof(f6800,plain,
( spl13_546
| ~ spl13_65
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1733,f1721,f533,f6798]) ).
fof(f6798,plain,
( spl13_546
<=> ! [X0,X1] :
( k9_relset_2(X0,X1,X1,sK3(k2_zfmisc_1(X0,X1)),sK6(X1)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK6(X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_546])]) ).
fof(f1733,plain,
( ! [X0,X1] :
( k9_relset_2(X0,X1,X1,sK3(k2_zfmisc_1(X0,X1)),sK6(X1)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK6(X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_65
| ~ spl13_195 ),
inference(resolution,[],[f1722,f534]) ).
fof(f6796,plain,
( spl13_545
| ~ spl13_29
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1730,f1721,f310,f6794]) ).
fof(f6794,plain,
( spl13_545
<=> ! [X0,X1] :
( k9_relset_2(X0,X1,X1,sK3(k2_zfmisc_1(X0,X1)),k6_relat_1(X1)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),k6_relat_1(X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_545])]) ).
fof(f1730,plain,
( ! [X0,X1] :
( k9_relset_2(X0,X1,X1,sK3(k2_zfmisc_1(X0,X1)),k6_relat_1(X1)) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),k6_relat_1(X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_29
| ~ spl13_195 ),
inference(resolution,[],[f1722,f311]) ).
fof(f6770,plain,
( spl13_544
| ~ spl13_17
| ~ spl13_194 ),
inference(avatar_split_clause,[],[f1719,f1715,f258,f6768]) ).
fof(f6768,plain,
( spl13_544
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,k2_zfmisc_1(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(k2_zfmisc_1(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_544])]) ).
fof(f1715,plain,
( spl13_194
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_194])]) ).
fof(f1719,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,k2_zfmisc_1(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(k2_zfmisc_1(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_17
| ~ spl13_194 ),
inference(resolution,[],[f1716,f259]) ).
fof(f1716,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) )
| ~ spl13_194 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f6766,plain,
( spl13_543
| ~ spl13_17
| ~ spl13_193 ),
inference(avatar_split_clause,[],[f1718,f1711,f258,f6764]) ).
fof(f6764,plain,
( spl13_543
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_543])]) ).
fof(f1711,plain,
( spl13_193
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_193])]) ).
fof(f1718,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k2_zfmisc_1(X1,X2))
| ~ spl13_17
| ~ spl13_193 ),
inference(resolution,[],[f1712,f259]) ).
fof(f1712,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) )
| ~ spl13_193 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f6762,plain,
( spl13_542
| ~ spl13_72
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1709,f1652,f575,f6760]) ).
fof(f6760,plain,
( spl13_542
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK9(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK9(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_542])]) ).
fof(f1709,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK9(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK9(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_72
| ~ spl13_191 ),
inference(resolution,[],[f1653,f576]) ).
fof(f6758,plain,
( spl13_541
| ~ spl13_33
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1708,f1652,f330,f6756]) ).
fof(f6756,plain,
( spl13_541
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK8(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK8(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_541])]) ).
fof(f1708,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK8(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK8(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_33
| ~ spl13_191 ),
inference(resolution,[],[f1653,f331]) ).
fof(f6754,plain,
( spl13_540
| ~ spl13_71
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1707,f1652,f571,f6752]) ).
fof(f6752,plain,
( spl13_540
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK7(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK7(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_540])]) ).
fof(f1707,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK7(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK7(X0,X1),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_71
| ~ spl13_191 ),
inference(resolution,[],[f1653,f572]) ).
fof(f6750,plain,
( spl13_539
| ~ spl13_72
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1696,f1648,f575,f6748]) ).
fof(f6748,plain,
( spl13_539
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK9(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK9(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_539])]) ).
fof(f1696,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK9(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK9(X1,X2))
| ~ spl13_72
| ~ spl13_190 ),
inference(resolution,[],[f1649,f576]) ).
fof(f6746,plain,
( spl13_538
| ~ spl13_33
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1695,f1648,f330,f6744]) ).
fof(f6744,plain,
( spl13_538
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK8(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK8(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_538])]) ).
fof(f1695,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK8(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK8(X1,X2))
| ~ spl13_33
| ~ spl13_190 ),
inference(resolution,[],[f1649,f331]) ).
fof(f6742,plain,
( spl13_537
| ~ spl13_71
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1694,f1648,f571,f6740]) ).
fof(f6740,plain,
( spl13_537
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK7(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK7(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_537])]) ).
fof(f1694,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK7(X1,X2)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK7(X1,X2))
| ~ spl13_71
| ~ spl13_190 ),
inference(resolution,[],[f1649,f572]) ).
fof(f6738,plain,
( spl13_536
| ~ spl13_157
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1669,f1644,f1317,f6736]) ).
fof(f6736,plain,
( spl13_536
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(sK6(X0),sK6(X1)))
| m1_subset_1(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_536])]) ).
fof(f1317,plain,
( spl13_157
<=> ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),sK6(X1)) = k5_relat_1(sK6(X0),sK6(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_157])]) ).
fof(f1669,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(sK6(X0),sK6(X1)))
| m1_subset_1(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_157
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1318]) ).
fof(f1318,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),sK6(X1)) = k5_relat_1(sK6(X0),sK6(X1))
| ~ spl13_157 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f6734,plain,
( spl13_535
| ~ spl13_156
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1668,f1644,f1313,f6732]) ).
fof(f6732,plain,
( spl13_535
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(k6_relat_1(X0),sK6(X1)))
| m1_subset_1(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_535])]) ).
fof(f1313,plain,
( spl13_156
<=> ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),sK6(X1)) = k5_relat_1(k6_relat_1(X0),sK6(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_156])]) ).
fof(f1668,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(k6_relat_1(X0),sK6(X1)))
| m1_subset_1(X2,k2_zfmisc_1(X0,X1))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_156
| ~ spl13_189 ),
inference(superposition,[],[f1645,f1314]) ).
fof(f1314,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),sK6(X1)) = k5_relat_1(k6_relat_1(X0),sK6(X1))
| ~ spl13_156 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f6688,plain,
( spl13_534
| ~ spl13_56
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1587,f1540,f473,f6686]) ).
fof(f6686,plain,
( spl13_534
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(k5_relat_1(sK9(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_534])]) ).
fof(f1587,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(k5_relat_1(sK9(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_182 ),
inference(superposition,[],[f474,f1541]) ).
fof(f6684,plain,
( spl13_533
| ~ spl13_99
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1586,f1540,f778,f6682]) ).
fof(f6682,plain,
( spl13_533
<=> ! [X0,X3,X2,X1] :
( m1_relset_1(k5_relat_1(sK9(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK9(X2,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_533])]) ).
fof(f1586,plain,
( ! [X2,X3,X0,X1] :
( m1_relset_1(k5_relat_1(sK9(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK9(X2,X3),X2,X3) )
| ~ spl13_99
| ~ spl13_182 ),
inference(superposition,[],[f779,f1541]) ).
fof(f6680,plain,
( spl13_532
| ~ spl13_56
| ~ spl13_181 ),
inference(avatar_split_clause,[],[f1584,f1536,f473,f6678]) ).
fof(f6678,plain,
( spl13_532
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(k5_relat_1(sK8(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_532])]) ).
fof(f1584,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(k5_relat_1(sK8(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_181 ),
inference(superposition,[],[f474,f1537]) ).
fof(f6676,plain,
( spl13_531
| ~ spl13_99
| ~ spl13_181 ),
inference(avatar_split_clause,[],[f1583,f1536,f778,f6674]) ).
fof(f6674,plain,
( spl13_531
<=> ! [X0,X3,X2,X1] :
( m1_relset_1(k5_relat_1(sK8(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1)
| ~ m1_relset_1(sK9(X2,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_531])]) ).
fof(f1583,plain,
( ! [X2,X3,X0,X1] :
( m1_relset_1(k5_relat_1(sK8(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1)
| ~ m1_relset_1(sK9(X2,X3),X2,X3) )
| ~ spl13_99
| ~ spl13_181 ),
inference(superposition,[],[f779,f1537]) ).
fof(f6672,plain,
( spl13_530
| ~ spl13_56
| ~ spl13_180 ),
inference(avatar_split_clause,[],[f1581,f1532,f473,f6670]) ).
fof(f6670,plain,
( spl13_530
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(k5_relat_1(sK7(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_530])]) ).
fof(f1581,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(k5_relat_1(sK7(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_180 ),
inference(superposition,[],[f474,f1533]) ).
fof(f6668,plain,
( spl13_529
| ~ spl13_99
| ~ spl13_180 ),
inference(avatar_split_clause,[],[f1580,f1532,f778,f6666]) ).
fof(f6666,plain,
( spl13_529
<=> ! [X0,X3,X2,X1] :
( m1_relset_1(k5_relat_1(sK7(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK9(X2,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_529])]) ).
fof(f1580,plain,
( ! [X2,X3,X0,X1] :
( m1_relset_1(k5_relat_1(sK7(X0,X1),sK9(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK9(X2,X3),X2,X3) )
| ~ spl13_99
| ~ spl13_180 ),
inference(superposition,[],[f779,f1533]) ).
fof(f6664,plain,
( spl13_528
| ~ spl13_56
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f1578,f1528,f473,f6662]) ).
fof(f6662,plain,
( spl13_528
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(k5_relat_1(sK9(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_528])]) ).
fof(f1578,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(k5_relat_1(sK9(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_179 ),
inference(superposition,[],[f474,f1529]) ).
fof(f6660,plain,
( spl13_527
| ~ spl13_99
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f1577,f1528,f778,f6658]) ).
fof(f6658,plain,
( spl13_527
<=> ! [X0,X3,X2,X1] :
( m1_relset_1(k5_relat_1(sK9(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK7(X2,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_527])]) ).
fof(f1577,plain,
( ! [X2,X3,X0,X1] :
( m1_relset_1(k5_relat_1(sK9(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK7(X2,X3),X2,X3) )
| ~ spl13_99
| ~ spl13_179 ),
inference(superposition,[],[f779,f1529]) ).
fof(f6656,plain,
( spl13_526
| ~ spl13_56
| ~ spl13_178 ),
inference(avatar_split_clause,[],[f1575,f1524,f473,f6654]) ).
fof(f6654,plain,
( spl13_526
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(k5_relat_1(sK8(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_526])]) ).
fof(f1575,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(k5_relat_1(sK8(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_178 ),
inference(superposition,[],[f474,f1525]) ).
fof(f6652,plain,
( spl13_525
| ~ spl13_99
| ~ spl13_178 ),
inference(avatar_split_clause,[],[f1574,f1524,f778,f6650]) ).
fof(f6650,plain,
( spl13_525
<=> ! [X0,X3,X2,X1] :
( m1_relset_1(k5_relat_1(sK8(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1)
| ~ m1_relset_1(sK7(X2,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_525])]) ).
fof(f1574,plain,
( ! [X2,X3,X0,X1] :
( m1_relset_1(k5_relat_1(sK8(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1)
| ~ m1_relset_1(sK7(X2,X3),X2,X3) )
| ~ spl13_99
| ~ spl13_178 ),
inference(superposition,[],[f779,f1525]) ).
fof(f6626,plain,
( spl13_524
| ~ spl13_56
| ~ spl13_177 ),
inference(avatar_split_clause,[],[f1572,f1520,f473,f6624]) ).
fof(f6624,plain,
( spl13_524
<=> ! [X0,X3,X2,X1] :
( m2_relset_1(k5_relat_1(sK7(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_524])]) ).
fof(f1572,plain,
( ! [X2,X3,X0,X1] :
( m2_relset_1(k5_relat_1(sK7(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_177 ),
inference(superposition,[],[f474,f1521]) ).
fof(f6622,plain,
( spl13_523
| ~ spl13_99
| ~ spl13_177 ),
inference(avatar_split_clause,[],[f1571,f1520,f778,f6620]) ).
fof(f6620,plain,
( spl13_523
<=> ! [X0,X3,X2,X1] :
( m1_relset_1(k5_relat_1(sK7(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK7(X2,X3),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_523])]) ).
fof(f1571,plain,
( ! [X2,X3,X0,X1] :
( m1_relset_1(k5_relat_1(sK7(X0,X1),sK7(X2,X3)),X0,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK7(X2,X3),X2,X3) )
| ~ spl13_99
| ~ spl13_177 ),
inference(superposition,[],[f779,f1521]) ).
fof(f6618,plain,
( spl13_522
| ~ spl13_123
| ~ spl13_176 ),
inference(avatar_split_clause,[],[f1566,f1516,f1017,f6616]) ).
fof(f6616,plain,
( spl13_522
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| sK11 = k5_relat_1(sK11,k9_relset_2(X4,X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_522])]) ).
fof(f1566,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| sK11 = k5_relat_1(sK11,k9_relset_2(X4,X1,X2,X3,X0)) )
| ~ spl13_123
| ~ spl13_176 ),
inference(resolution,[],[f1517,f1018]) ).
fof(f6614,plain,
( spl13_521
| ~ spl13_124
| ~ spl13_176 ),
inference(avatar_split_clause,[],[f1565,f1516,f1021,f6612]) ).
fof(f6612,plain,
( spl13_521
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| sK11 = k5_relat_1(k9_relset_2(X4,X1,X2,X3,X0),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_521])]) ).
fof(f1565,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| sK11 = k5_relat_1(k9_relset_2(X4,X1,X2,X3,X0),sK11) )
| ~ spl13_124
| ~ spl13_176 ),
inference(resolution,[],[f1517,f1022]) ).
fof(f6602,plain,
( spl13_520
| ~ spl13_25
| ~ spl13_35
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1642,f1603,f338,f294,f6600]) ).
fof(f6600,plain,
( spl13_520
<=> ! [X2,X0,X1] :
( k2_zfmisc_1(X1,X2) = sK11
| k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_520])]) ).
fof(f1642,plain,
( ! [X2,X0,X1] :
( k2_zfmisc_1(X1,X2) = sK11
| k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2))) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_188 ),
inference(forward_demodulation,[],[f1628,f340]) ).
fof(f1628,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| k2_zfmisc_1(X1,X2) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_188 ),
inference(resolution,[],[f1604,f295]) ).
fof(f6598,plain,
( spl13_519
| ~ spl13_25
| ~ spl13_35
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1623,f1591,f338,f294,f6596]) ).
fof(f6596,plain,
( spl13_519
<=> ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_519])]) ).
fof(f1623,plain,
( ! [X2,X0,X1] :
( k2_zfmisc_1(X0,X1) = sK11
| k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_185 ),
inference(forward_demodulation,[],[f1609,f340]) ).
fof(f1609,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| k2_zfmisc_1(X0,X1) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_185 ),
inference(resolution,[],[f1592,f295]) ).
fof(f6461,plain,
( ~ spl13_518
| ~ spl13_240
| ~ spl13_378 ),
inference(avatar_split_clause,[],[f6179,f4018,f2379,f6458]) ).
fof(f6458,plain,
( spl13_518
<=> r2_hidden(k2_zfmisc_1(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_518])]) ).
fof(f2379,plain,
( spl13_240
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| r2_hidden(X0,k2_zfmisc_1(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_240])]) ).
fof(f4018,plain,
( spl13_378
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(k2_zfmisc_1(sK0,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_378])]) ).
fof(f6179,plain,
( ~ r2_hidden(k2_zfmisc_1(sK0,sK1),sK2)
| ~ spl13_240
| ~ spl13_378 ),
inference(duplicate_literal_removal,[],[f6176]) ).
fof(f6176,plain,
( ~ r2_hidden(k2_zfmisc_1(sK0,sK1),sK2)
| ~ r2_hidden(k2_zfmisc_1(sK0,sK1),sK2)
| ~ spl13_240
| ~ spl13_378 ),
inference(resolution,[],[f4019,f2380]) ).
fof(f2380,plain,
( ! [X0] :
( r2_hidden(X0,k2_zfmisc_1(sK0,sK1))
| ~ r2_hidden(X0,sK2) )
| ~ spl13_240 ),
inference(avatar_component_clause,[],[f2379]) ).
fof(f4019,plain,
( ! [X0] :
( ~ r2_hidden(k2_zfmisc_1(sK0,sK1),X0)
| ~ r2_hidden(X0,sK2) )
| ~ spl13_378 ),
inference(avatar_component_clause,[],[f4018]) ).
fof(f6149,plain,
( spl13_517
| ~ spl13_27
| ~ spl13_163
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f2098,f1961,f1408,f302,f6147]) ).
fof(f6147,plain,
( spl13_517
<=> ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK9(X0,X1),sK6(X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_517])]) ).
fof(f2098,plain,
( ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK9(X0,X1),sK6(X2)),k6_relat_1(X2))
| ~ spl13_27
| ~ spl13_163
| ~ spl13_216 ),
inference(forward_demodulation,[],[f2091,f1409]) ).
fof(f2091,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),sK6(X2)),k6_relat_1(X2))
| ~ spl13_27
| ~ spl13_216 ),
inference(resolution,[],[f1962,f303]) ).
fof(f6145,plain,
( spl13_516
| ~ spl13_34
| ~ spl13_64
| ~ spl13_160
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f2097,f1961,f1396,f529,f334,f6143]) ).
fof(f6143,plain,
( spl13_516
<=> ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK9(X0,X1),k6_relat_1(X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_516])]) ).
fof(f2097,plain,
( ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK9(X0,X1),k6_relat_1(X2)),k6_relat_1(X2))
| ~ spl13_34
| ~ spl13_64
| ~ spl13_160
| ~ spl13_216 ),
inference(forward_demodulation,[],[f2089,f1438]) ).
fof(f1438,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),k6_relat_1(X2)) = k5_relat_1(sK9(X0,X1),k6_relat_1(X2))
| ~ spl13_34
| ~ spl13_160 ),
inference(resolution,[],[f1397,f335]) ).
fof(f2089,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),k6_relat_1(X2)),k6_relat_1(X2))
| ~ spl13_64
| ~ spl13_216 ),
inference(resolution,[],[f1962,f530]) ).
fof(f6141,plain,
( spl13_515
| ~ spl13_27
| ~ spl13_162
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f2083,f1957,f1404,f302,f6139]) ).
fof(f6139,plain,
( spl13_515
<=> ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK8(X0,X1),sK6(X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_515])]) ).
fof(f2083,plain,
( ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK8(X0,X1),sK6(X2)),k6_relat_1(X2))
| ~ spl13_27
| ~ spl13_162
| ~ spl13_215 ),
inference(forward_demodulation,[],[f2076,f1405]) ).
fof(f2076,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),sK6(X2)),k6_relat_1(X2))
| ~ spl13_27
| ~ spl13_215 ),
inference(resolution,[],[f1958,f303]) ).
fof(f6137,plain,
( spl13_514
| ~ spl13_64
| ~ spl13_70
| ~ spl13_160
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f2082,f1957,f1396,f567,f529,f6135]) ).
fof(f6135,plain,
( spl13_514
<=> ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK8(X0,X1),k6_relat_1(X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_514])]) ).
fof(f2082,plain,
( ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK8(X0,X1),k6_relat_1(X2)),k6_relat_1(X2))
| ~ spl13_64
| ~ spl13_70
| ~ spl13_160
| ~ spl13_215 ),
inference(forward_demodulation,[],[f2074,f1437]) ).
fof(f1437,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),k6_relat_1(X2)) = k5_relat_1(sK8(X0,X1),k6_relat_1(X2))
| ~ spl13_70
| ~ spl13_160 ),
inference(resolution,[],[f1397,f568]) ).
fof(f2074,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),k6_relat_1(X2)),k6_relat_1(X2))
| ~ spl13_64
| ~ spl13_215 ),
inference(resolution,[],[f1958,f530]) ).
fof(f6133,plain,
( spl13_513
| ~ spl13_27
| ~ spl13_161
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f2068,f1953,f1400,f302,f6131]) ).
fof(f6131,plain,
( spl13_513
<=> ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK7(X0,X1),sK6(X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_513])]) ).
fof(f2068,plain,
( ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK7(X0,X1),sK6(X2)),k6_relat_1(X2))
| ~ spl13_27
| ~ spl13_161
| ~ spl13_214 ),
inference(forward_demodulation,[],[f2061,f1401]) ).
fof(f2061,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),sK6(X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),sK6(X2)),k6_relat_1(X2))
| ~ spl13_27
| ~ spl13_214 ),
inference(resolution,[],[f1954,f303]) ).
fof(f6129,plain,
( spl13_512
| ~ spl13_32
| ~ spl13_64
| ~ spl13_160
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f2067,f1953,f1396,f529,f326,f6127]) ).
fof(f6127,plain,
( spl13_512
<=> ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK7(X0,X1),k6_relat_1(X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_512])]) ).
fof(f2067,plain,
( ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK7(X0,X1),k6_relat_1(X2)),k6_relat_1(X2))
| ~ spl13_32
| ~ spl13_64
| ~ spl13_160
| ~ spl13_214 ),
inference(forward_demodulation,[],[f2059,f1436]) ).
fof(f1436,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),k6_relat_1(X2)) = k5_relat_1(sK7(X0,X1),k6_relat_1(X2))
| ~ spl13_32
| ~ spl13_160 ),
inference(resolution,[],[f1397,f327]) ).
fof(f2059,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),k6_relat_1(X2)),k6_relat_1(X2))
| ~ spl13_64
| ~ spl13_214 ),
inference(resolution,[],[f1954,f530]) ).
fof(f6125,plain,
( spl13_511
| ~ spl13_27
| ~ spl13_163
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f2053,f1949,f1408,f302,f6123]) ).
fof(f6123,plain,
( spl13_511
<=> ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK6(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_511])]) ).
fof(f2053,plain,
( ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK6(X2)))
| ~ spl13_27
| ~ spl13_163
| ~ spl13_213 ),
inference(forward_demodulation,[],[f2046,f1409]) ).
fof(f2046,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),sK6(X2)))
| ~ spl13_27
| ~ spl13_213 ),
inference(resolution,[],[f1950,f303]) ).
fof(f6121,plain,
( spl13_510
| ~ spl13_34
| ~ spl13_64
| ~ spl13_160
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f2052,f1949,f1396,f529,f334,f6119]) ).
fof(f6119,plain,
( spl13_510
<=> ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),k6_relat_1(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_510])]) ).
fof(f2052,plain,
( ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),k6_relat_1(X2)))
| ~ spl13_34
| ~ spl13_64
| ~ spl13_160
| ~ spl13_213 ),
inference(forward_demodulation,[],[f2044,f1438]) ).
fof(f2044,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),k6_relat_1(X2)))
| ~ spl13_64
| ~ spl13_213 ),
inference(resolution,[],[f1950,f530]) ).
fof(f6117,plain,
( spl13_509
| ~ spl13_27
| ~ spl13_162
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f2038,f1945,f1404,f302,f6115]) ).
fof(f6115,plain,
( spl13_509
<=> ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK6(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_509])]) ).
fof(f2038,plain,
( ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK6(X2)))
| ~ spl13_27
| ~ spl13_162
| ~ spl13_212 ),
inference(forward_demodulation,[],[f2031,f1405]) ).
fof(f2031,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),sK6(X2)))
| ~ spl13_27
| ~ spl13_212 ),
inference(resolution,[],[f1946,f303]) ).
fof(f6113,plain,
( spl13_508
| ~ spl13_64
| ~ spl13_70
| ~ spl13_160
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f2037,f1945,f1396,f567,f529,f6111]) ).
fof(f6111,plain,
( spl13_508
<=> ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),k6_relat_1(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_508])]) ).
fof(f2037,plain,
( ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),k6_relat_1(X2)))
| ~ spl13_64
| ~ spl13_70
| ~ spl13_160
| ~ spl13_212 ),
inference(forward_demodulation,[],[f2029,f1437]) ).
fof(f2029,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),k6_relat_1(X2)))
| ~ spl13_64
| ~ spl13_212 ),
inference(resolution,[],[f1946,f530]) ).
fof(f6109,plain,
( spl13_507
| ~ spl13_27
| ~ spl13_161
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f2023,f1941,f1400,f302,f6107]) ).
fof(f6107,plain,
( spl13_507
<=> ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK6(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_507])]) ).
fof(f2023,plain,
( ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK6(X2)))
| ~ spl13_27
| ~ spl13_161
| ~ spl13_211 ),
inference(forward_demodulation,[],[f2016,f1401]) ).
fof(f2016,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),sK6(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),sK6(X2)))
| ~ spl13_27
| ~ spl13_211 ),
inference(resolution,[],[f1942,f303]) ).
fof(f6105,plain,
( spl13_506
| ~ spl13_32
| ~ spl13_64
| ~ spl13_160
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f2022,f1941,f1396,f529,f326,f6103]) ).
fof(f6103,plain,
( spl13_506
<=> ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),k6_relat_1(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_506])]) ).
fof(f2022,plain,
( ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),k6_relat_1(X2)))
| ~ spl13_32
| ~ spl13_64
| ~ spl13_160
| ~ spl13_211 ),
inference(forward_demodulation,[],[f2014,f1436]) ).
fof(f2014,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),k6_relat_1(X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),k6_relat_1(X2)))
| ~ spl13_64
| ~ spl13_211 ),
inference(resolution,[],[f1942,f530]) ).
fof(f6101,plain,
( spl13_505
| ~ spl13_34
| ~ spl13_168
| ~ spl13_208 ),
inference(avatar_split_clause,[],[f1934,f1833,f1429,f334,f6099]) ).
fof(f6099,plain,
( spl13_505
<=> ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK9(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK6(X0),sK9(X1,X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_505])]) ).
fof(f1833,plain,
( spl13_208
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,sK6(X3),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X3,X1,X2,sK6(X3),X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_208])]) ).
fof(f1934,plain,
( ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK9(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK6(X0),sK9(X1,X2)),k6_relat_1(X2))
| ~ spl13_34
| ~ spl13_168
| ~ spl13_208 ),
inference(forward_demodulation,[],[f1927,f1430]) ).
fof(f1927,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK9(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X0,X1,X2,sK6(X0),sK9(X1,X2)),k6_relat_1(X2))
| ~ spl13_34
| ~ spl13_208 ),
inference(resolution,[],[f1834,f335]) ).
fof(f1834,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,sK6(X3),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X3,X1,X2,sK6(X3),X0),k6_relat_1(X2)) )
| ~ spl13_208 ),
inference(avatar_component_clause,[],[f1833]) ).
fof(f6097,plain,
( spl13_504
| ~ spl13_27
| ~ spl13_70
| ~ spl13_175
| ~ spl13_208 ),
inference(avatar_split_clause,[],[f1933,f1833,f1507,f567,f302,f6095]) ).
fof(f6095,plain,
( spl13_504
<=> ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK8(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK6(X0),sK8(X1,X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_504])]) ).
fof(f1933,plain,
( ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK8(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK6(X0),sK8(X1,X2)),k6_relat_1(X2))
| ~ spl13_27
| ~ spl13_70
| ~ spl13_175
| ~ spl13_208 ),
inference(forward_demodulation,[],[f1926,f1554]) ).
fof(f1554,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK8(X1,X2)) = k5_relat_1(sK6(X0),sK8(X1,X2))
| ~ spl13_27
| ~ spl13_175 ),
inference(resolution,[],[f1508,f303]) ).
fof(f1926,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK8(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X0,X1,X2,sK6(X0),sK8(X1,X2)),k6_relat_1(X2))
| ~ spl13_70
| ~ spl13_208 ),
inference(resolution,[],[f1834,f568]) ).
fof(f6093,plain,
( spl13_503
| ~ spl13_32
| ~ spl13_166
| ~ spl13_208 ),
inference(avatar_split_clause,[],[f1932,f1833,f1421,f326,f6091]) ).
fof(f6091,plain,
( spl13_503
<=> ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK7(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK6(X0),sK7(X1,X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_503])]) ).
fof(f1932,plain,
( ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK7(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(sK6(X0),sK7(X1,X2)),k6_relat_1(X2))
| ~ spl13_32
| ~ spl13_166
| ~ spl13_208 ),
inference(forward_demodulation,[],[f1925,f1422]) ).
fof(f1925,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK7(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X0,X1,X2,sK6(X0),sK7(X1,X2)),k6_relat_1(X2))
| ~ spl13_32
| ~ spl13_208 ),
inference(resolution,[],[f1834,f327]) ).
fof(f6089,plain,
( spl13_502
| ~ spl13_34
| ~ spl13_167
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1919,f1829,f1425,f334,f6087]) ).
fof(f6087,plain,
( spl13_502
<=> ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK9(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(k6_relat_1(X0),sK9(X1,X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_502])]) ).
fof(f1829,plain,
( spl13_207
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_207])]) ).
fof(f1919,plain,
( ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK9(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(k6_relat_1(X0),sK9(X1,X2)),k6_relat_1(X2))
| ~ spl13_34
| ~ spl13_167
| ~ spl13_207 ),
inference(forward_demodulation,[],[f1912,f1426]) ).
fof(f1912,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK9(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK9(X1,X2)),k6_relat_1(X2))
| ~ spl13_34
| ~ spl13_207 ),
inference(resolution,[],[f1830,f335]) ).
fof(f1830,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0),k6_relat_1(X2)) )
| ~ spl13_207 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f6085,plain,
( spl13_501
| ~ spl13_64
| ~ spl13_70
| ~ spl13_175
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1918,f1829,f1507,f567,f529,f6083]) ).
fof(f6083,plain,
( spl13_501
<=> ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK8(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(k6_relat_1(X0),sK8(X1,X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_501])]) ).
fof(f1918,plain,
( ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK8(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(k6_relat_1(X0),sK8(X1,X2)),k6_relat_1(X2))
| ~ spl13_64
| ~ spl13_70
| ~ spl13_175
| ~ spl13_207 ),
inference(forward_demodulation,[],[f1911,f1552]) ).
fof(f1552,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK8(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK8(X1,X2))
| ~ spl13_64
| ~ spl13_175 ),
inference(resolution,[],[f1508,f530]) ).
fof(f1911,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK8(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK8(X1,X2)),k6_relat_1(X2))
| ~ spl13_70
| ~ spl13_207 ),
inference(resolution,[],[f1830,f568]) ).
fof(f6081,plain,
( spl13_500
| ~ spl13_32
| ~ spl13_164
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1917,f1829,f1412,f326,f6079]) ).
fof(f6079,plain,
( spl13_500
<=> ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK7(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(k6_relat_1(X0),sK7(X1,X2)),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_500])]) ).
fof(f1917,plain,
( ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK7(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k5_relat_1(k6_relat_1(X0),sK7(X1,X2)),k6_relat_1(X2))
| ~ spl13_32
| ~ spl13_164
| ~ spl13_207 ),
inference(forward_demodulation,[],[f1910,f1413]) ).
fof(f1910,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK7(X1,X2)) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK7(X1,X2)),k6_relat_1(X2))
| ~ spl13_32
| ~ spl13_207 ),
inference(resolution,[],[f1830,f327]) ).
fof(f6077,plain,
( spl13_499
| ~ spl13_34
| ~ spl13_168
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1904,f1825,f1429,f334,f6075]) ).
fof(f6075,plain,
( spl13_499
<=> ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK9(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK6(X0),sK9(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_499])]) ).
fof(f1825,plain,
( spl13_206
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,sK6(X3),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X3,X1,X2,sK6(X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_206])]) ).
fof(f1904,plain,
( ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK9(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK6(X0),sK9(X1,X2)))
| ~ spl13_34
| ~ spl13_168
| ~ spl13_206 ),
inference(forward_demodulation,[],[f1897,f1430]) ).
fof(f1897,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK9(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X2,sK6(X0),sK9(X1,X2)))
| ~ spl13_34
| ~ spl13_206 ),
inference(resolution,[],[f1826,f335]) ).
fof(f1826,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,sK6(X3),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X3,X1,X2,sK6(X3),X0)) )
| ~ spl13_206 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f6059,plain,
( spl13_498
| ~ spl13_1
| ~ spl13_425 ),
inference(avatar_split_clause,[],[f5682,f5089,f186,f6056]) ).
fof(f6056,plain,
( spl13_498
<=> m2_relset_1(sK2,sK0,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_498])]) ).
fof(f5089,plain,
( spl13_425
<=> sK1 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_425])]) ).
fof(f5682,plain,
( m2_relset_1(sK2,sK0,sK11)
| ~ spl13_1
| ~ spl13_425 ),
inference(superposition,[],[f188,f5091]) ).
fof(f5091,plain,
( sK1 = sK11
| ~ spl13_425 ),
inference(avatar_component_clause,[],[f5089]) ).
fof(f6054,plain,
( spl13_497
| ~ spl13_27
| ~ spl13_70
| ~ spl13_175
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1903,f1825,f1507,f567,f302,f6052]) ).
fof(f6052,plain,
( spl13_497
<=> ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK8(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK6(X0),sK8(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_497])]) ).
fof(f1903,plain,
( ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK8(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK6(X0),sK8(X1,X2)))
| ~ spl13_27
| ~ spl13_70
| ~ spl13_175
| ~ spl13_206 ),
inference(forward_demodulation,[],[f1896,f1554]) ).
fof(f1896,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK8(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X2,sK6(X0),sK8(X1,X2)))
| ~ spl13_70
| ~ spl13_206 ),
inference(resolution,[],[f1826,f568]) ).
fof(f6050,plain,
( spl13_496
| ~ spl13_32
| ~ spl13_166
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1902,f1825,f1421,f326,f6048]) ).
fof(f6048,plain,
( spl13_496
<=> ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK7(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK6(X0),sK7(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_496])]) ).
fof(f1902,plain,
( ! [X2,X0,X1] : k5_relat_1(sK6(X0),sK7(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(sK6(X0),sK7(X1,X2)))
| ~ spl13_32
| ~ spl13_166
| ~ spl13_206 ),
inference(forward_demodulation,[],[f1895,f1422]) ).
fof(f1895,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK7(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X2,sK6(X0),sK7(X1,X2)))
| ~ spl13_32
| ~ spl13_206 ),
inference(resolution,[],[f1826,f327]) ).
fof(f6046,plain,
( spl13_495
| ~ spl13_34
| ~ spl13_167
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1885,f1821,f1425,f334,f6044]) ).
fof(f6044,plain,
( spl13_495
<=> ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK9(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK9(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_495])]) ).
fof(f1821,plain,
( spl13_205
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_205])]) ).
fof(f1885,plain,
( ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK9(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK9(X1,X2)))
| ~ spl13_34
| ~ spl13_167
| ~ spl13_205 ),
inference(forward_demodulation,[],[f1878,f1426]) ).
fof(f1878,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK9(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK9(X1,X2)))
| ~ spl13_34
| ~ spl13_205 ),
inference(resolution,[],[f1822,f335]) ).
fof(f1822,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0)) )
| ~ spl13_205 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f6042,plain,
( spl13_494
| ~ spl13_64
| ~ spl13_70
| ~ spl13_175
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1884,f1821,f1507,f567,f529,f6040]) ).
fof(f6040,plain,
( spl13_494
<=> ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK8(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK8(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_494])]) ).
fof(f1884,plain,
( ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK8(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK8(X1,X2)))
| ~ spl13_64
| ~ spl13_70
| ~ spl13_175
| ~ spl13_205 ),
inference(forward_demodulation,[],[f1877,f1552]) ).
fof(f1877,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK8(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK8(X1,X2)))
| ~ spl13_70
| ~ spl13_205 ),
inference(resolution,[],[f1822,f568]) ).
fof(f6038,plain,
( spl13_493
| ~ spl13_32
| ~ spl13_164
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1883,f1821,f1412,f326,f6036]) ).
fof(f6036,plain,
( spl13_493
<=> ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK7(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK7(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_493])]) ).
fof(f1883,plain,
( ! [X2,X0,X1] : k5_relat_1(k6_relat_1(X0),sK7(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK7(X1,X2)))
| ~ spl13_32
| ~ spl13_164
| ~ spl13_205 ),
inference(forward_demodulation,[],[f1876,f1413]) ).
fof(f1876,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK7(X1,X2)) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK7(X1,X2)))
| ~ spl13_32
| ~ spl13_205 ),
inference(resolution,[],[f1822,f327]) ).
fof(f6034,plain,
( spl13_492
| ~ spl13_65
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1706,f1652,f533,f6032]) ).
fof(f6032,plain,
( spl13_492
<=> ! [X0,X1] : k9_relset_2(X0,X0,X1,sK6(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k5_relat_1(sK6(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_492])]) ).
fof(f1706,plain,
( ! [X0,X1] : k9_relset_2(X0,X0,X1,sK6(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k5_relat_1(sK6(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl13_65
| ~ spl13_191 ),
inference(resolution,[],[f1653,f534]) ).
fof(f6030,plain,
( spl13_491
| ~ spl13_29
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1703,f1652,f310,f6028]) ).
fof(f6028,plain,
( spl13_491
<=> ! [X0,X1] : k9_relset_2(X0,X0,X1,k6_relat_1(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k5_relat_1(k6_relat_1(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_491])]) ).
fof(f1703,plain,
( ! [X0,X1] : k9_relset_2(X0,X0,X1,k6_relat_1(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k5_relat_1(k6_relat_1(X0),sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl13_29
| ~ spl13_191 ),
inference(resolution,[],[f1653,f311]) ).
fof(f6026,plain,
( spl13_490
| ~ spl13_65
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1693,f1648,f533,f6024]) ).
fof(f6024,plain,
( spl13_490
<=> ! [X0,X1] : k9_relset_2(X0,X1,X1,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK6(X1)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK6(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_490])]) ).
fof(f1693,plain,
( ! [X0,X1] : k9_relset_2(X0,X1,X1,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK6(X1)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK6(X1))
| ~ spl13_65
| ~ spl13_190 ),
inference(resolution,[],[f1649,f534]) ).
fof(f6022,plain,
( spl13_489
| ~ spl13_29
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1690,f1648,f310,f6020]) ).
fof(f6020,plain,
( spl13_489
<=> ! [X0,X1] : k9_relset_2(X0,X1,X1,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k6_relat_1(X1)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_489])]) ).
fof(f1690,plain,
( ! [X0,X1] : k9_relset_2(X0,X1,X1,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k6_relat_1(X1)) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k6_relat_1(X1))
| ~ spl13_29
| ~ spl13_190 ),
inference(resolution,[],[f1649,f311]) ).
fof(f6018,plain,
( spl13_488
| ~ spl13_40
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1626,f1603,f363,f6016]) ).
fof(f6016,plain,
( spl13_488
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X2)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_488])]) ).
fof(f1626,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X2)
| v1_xboole_0(X1) )
| ~ spl13_40
| ~ spl13_188 ),
inference(resolution,[],[f1604,f364]) ).
fof(f6014,plain,
( spl13_242
| spl13_243
| ~ spl13_40
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2383,f2375,f363,f2421,f2417]) ).
fof(f2417,plain,
( spl13_242
<=> v1_xboole_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_242])]) ).
fof(f2421,plain,
( spl13_243
<=> v1_xboole_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_243])]) ).
fof(f2375,plain,
( spl13_239
<=> v1_xboole_0(k2_zfmisc_1(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_239])]) ).
fof(f2383,plain,
( v1_xboole_0(sK1)
| v1_xboole_0(sK0)
| ~ spl13_40
| ~ spl13_239 ),
inference(resolution,[],[f2377,f364]) ).
fof(f2377,plain,
( v1_xboole_0(k2_zfmisc_1(sK0,sK1))
| ~ spl13_239 ),
inference(avatar_component_clause,[],[f2375]) ).
fof(f6013,plain,
( spl13_487
| ~ spl13_40
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1607,f1591,f363,f6011]) ).
fof(f6011,plain,
( spl13_487
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_487])]) ).
fof(f1607,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl13_40
| ~ spl13_185 ),
inference(resolution,[],[f1592,f364]) ).
fof(f6009,plain,
( spl13_486
| ~ spl13_159
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1585,f1540,f1371,f6007]) ).
fof(f6007,plain,
( spl13_486
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k5_relat_1(sK9(X0,X1),sK9(X2,X3)))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_486])]) ).
fof(f1371,plain,
( spl13_159
<=> ! [X3,X4,X0,X5,X2,X1] :
( v1_relat_1(k7_relset_1(X0,X1,X2,X3,X4,X5))
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_159])]) ).
fof(f1585,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k5_relat_1(sK9(X0,X1),sK9(X2,X3)))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_182 ),
inference(superposition,[],[f1372,f1541]) ).
fof(f1372,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( v1_relat_1(k7_relset_1(X0,X1,X2,X3,X4,X5))
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) )
| ~ spl13_159 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f6005,plain,
( spl13_485
| ~ spl13_159
| ~ spl13_181 ),
inference(avatar_split_clause,[],[f1582,f1536,f1371,f6003]) ).
fof(f6003,plain,
( spl13_485
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k5_relat_1(sK8(X0,X1),sK9(X2,X3)))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_485])]) ).
fof(f1582,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k5_relat_1(sK8(X0,X1),sK9(X2,X3)))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_181 ),
inference(superposition,[],[f1372,f1537]) ).
fof(f6001,plain,
( spl13_484
| ~ spl13_159
| ~ spl13_180 ),
inference(avatar_split_clause,[],[f1579,f1532,f1371,f5999]) ).
fof(f5999,plain,
( spl13_484
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k5_relat_1(sK7(X0,X1),sK9(X2,X3)))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_484])]) ).
fof(f1579,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k5_relat_1(sK7(X0,X1),sK9(X2,X3)))
| ~ m1_relset_1(sK9(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_180 ),
inference(superposition,[],[f1372,f1533]) ).
fof(f5997,plain,
( spl13_483
| ~ spl13_159
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f1576,f1528,f1371,f5995]) ).
fof(f5995,plain,
( spl13_483
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k5_relat_1(sK9(X0,X1),sK7(X2,X3)))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_483])]) ).
fof(f1576,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k5_relat_1(sK9(X0,X1),sK7(X2,X3)))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_179 ),
inference(superposition,[],[f1372,f1529]) ).
fof(f5993,plain,
( spl13_482
| ~ spl13_159
| ~ spl13_178 ),
inference(avatar_split_clause,[],[f1573,f1524,f1371,f5991]) ).
fof(f5991,plain,
( spl13_482
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k5_relat_1(sK8(X0,X1),sK7(X2,X3)))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_482])]) ).
fof(f1573,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k5_relat_1(sK8(X0,X1),sK7(X2,X3)))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_178 ),
inference(superposition,[],[f1372,f1525]) ).
fof(f5989,plain,
( spl13_481
| ~ spl13_159
| ~ spl13_177 ),
inference(avatar_split_clause,[],[f1570,f1520,f1371,f5987]) ).
fof(f5987,plain,
( spl13_481
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k5_relat_1(sK7(X0,X1),sK7(X2,X3)))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_481])]) ).
fof(f1570,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k5_relat_1(sK7(X0,X1),sK7(X2,X3)))
| ~ m1_relset_1(sK7(X2,X3),X2,X3)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_177 ),
inference(superposition,[],[f1372,f1521]) ).
fof(f5985,plain,
( spl13_480
| ~ spl13_58
| ~ spl13_171 ),
inference(avatar_split_clause,[],[f1481,f1477,f489,f5983]) ).
fof(f5983,plain,
( spl13_480
<=> ! [X2,X0,X1] :
( m2_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_480])]) ).
fof(f1477,plain,
( spl13_171
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_171])]) ).
fof(f1481,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_58
| ~ spl13_171 ),
inference(superposition,[],[f490,f1478]) ).
fof(f1478,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11)
| ~ spl13_171 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f5981,plain,
( spl13_479
| ~ spl13_103
| ~ spl13_171 ),
inference(avatar_split_clause,[],[f1480,f1477,f827,f5979]) ).
fof(f5979,plain,
( spl13_479
<=> ! [X2,X0,X1] :
( m1_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_479])]) ).
fof(f1480,plain,
( ! [X2,X0,X1] :
( m1_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_103
| ~ spl13_171 ),
inference(superposition,[],[f828,f1478]) ).
fof(f5977,plain,
( spl13_478
| ~ spl13_56
| ~ spl13_168 ),
inference(avatar_split_clause,[],[f1470,f1429,f473,f5975]) ).
fof(f5975,plain,
( spl13_478
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK6(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_478])]) ).
fof(f1470,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK6(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_56
| ~ spl13_168 ),
inference(superposition,[],[f474,f1430]) ).
fof(f5973,plain,
( spl13_477
| ~ spl13_99
| ~ spl13_168 ),
inference(avatar_split_clause,[],[f1469,f1429,f778,f5971]) ).
fof(f5971,plain,
( spl13_477
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK6(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK9(X1,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_477])]) ).
fof(f1469,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK6(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK9(X1,X2),X1,X2) )
| ~ spl13_99
| ~ spl13_168 ),
inference(superposition,[],[f779,f1430]) ).
fof(f5969,plain,
( spl13_476
| ~ spl13_56
| ~ spl13_167 ),
inference(avatar_split_clause,[],[f1461,f1425,f473,f5967]) ).
fof(f5967,plain,
( spl13_476
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(k6_relat_1(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_476])]) ).
fof(f1461,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(k6_relat_1(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_56
| ~ spl13_167 ),
inference(superposition,[],[f474,f1426]) ).
fof(f5965,plain,
( spl13_475
| ~ spl13_99
| ~ spl13_167 ),
inference(avatar_split_clause,[],[f1460,f1425,f778,f5963]) ).
fof(f5963,plain,
( spl13_475
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(k6_relat_1(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ m1_relset_1(sK9(X1,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_475])]) ).
fof(f1460,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(k6_relat_1(X0),sK9(X1,X2)),X0,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ m1_relset_1(sK9(X1,X2),X1,X2) )
| ~ spl13_99
| ~ spl13_167 ),
inference(superposition,[],[f779,f1426]) ).
fof(f5961,plain,
( spl13_474
| ~ spl13_56
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1457,f1421,f473,f5959]) ).
fof(f5959,plain,
( spl13_474
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK6(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_474])]) ).
fof(f1457,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK6(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_56
| ~ spl13_166 ),
inference(superposition,[],[f474,f1422]) ).
fof(f5957,plain,
( spl13_473
| ~ spl13_99
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1456,f1421,f778,f5955]) ).
fof(f5955,plain,
( spl13_473
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK6(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK7(X1,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_473])]) ).
fof(f1456,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK6(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK7(X1,X2),X1,X2) )
| ~ spl13_99
| ~ spl13_166 ),
inference(superposition,[],[f779,f1422]) ).
fof(f5953,plain,
( spl13_472
| ~ spl13_56
| ~ spl13_164 ),
inference(avatar_split_clause,[],[f1453,f1412,f473,f5951]) ).
fof(f5951,plain,
( spl13_472
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(k6_relat_1(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_472])]) ).
fof(f1453,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(k6_relat_1(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_56
| ~ spl13_164 ),
inference(superposition,[],[f474,f1413]) ).
fof(f5949,plain,
( spl13_471
| ~ spl13_99
| ~ spl13_164 ),
inference(avatar_split_clause,[],[f1452,f1412,f778,f5947]) ).
fof(f5947,plain,
( spl13_471
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(k6_relat_1(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ m1_relset_1(sK7(X1,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_471])]) ).
fof(f1452,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(k6_relat_1(X0),sK7(X1,X2)),X0,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ m1_relset_1(sK7(X1,X2),X1,X2) )
| ~ spl13_99
| ~ spl13_164 ),
inference(superposition,[],[f779,f1413]) ).
fof(f5945,plain,
( spl13_470
| ~ spl13_56
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f1449,f1408,f473,f5943]) ).
fof(f5943,plain,
( spl13_470
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK9(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_470])]) ).
fof(f1449,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK9(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_163 ),
inference(superposition,[],[f474,f1409]) ).
fof(f5941,plain,
( spl13_469
| ~ spl13_99
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f1448,f1408,f778,f5939]) ).
fof(f5939,plain,
( spl13_469
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK9(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK6(X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_469])]) ).
fof(f1448,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK9(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK6(X2),X2,X2) )
| ~ spl13_99
| ~ spl13_163 ),
inference(superposition,[],[f779,f1409]) ).
fof(f5937,plain,
( spl13_468
| ~ spl13_56
| ~ spl13_162 ),
inference(avatar_split_clause,[],[f1446,f1404,f473,f5935]) ).
fof(f5935,plain,
( spl13_468
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK8(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_468])]) ).
fof(f1446,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK8(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_162 ),
inference(superposition,[],[f474,f1405]) ).
fof(f5933,plain,
( ~ spl13_467
| spl13_366
| ~ spl13_425 ),
inference(avatar_split_clause,[],[f5722,f5089,f3785,f5930]) ).
fof(f5930,plain,
( spl13_467
<=> v1_xboole_0(k6_relat_1(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_467])]) ).
fof(f3785,plain,
( spl13_366
<=> v1_xboole_0(k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_366])]) ).
fof(f5722,plain,
( ~ v1_xboole_0(k6_relat_1(sK11))
| spl13_366
| ~ spl13_425 ),
inference(superposition,[],[f3787,f5091]) ).
fof(f3787,plain,
( ~ v1_xboole_0(k6_relat_1(sK1))
| spl13_366 ),
inference(avatar_component_clause,[],[f3785]) ).
fof(f5928,plain,
( spl13_466
| ~ spl13_99
| ~ spl13_162 ),
inference(avatar_split_clause,[],[f1445,f1404,f778,f5926]) ).
fof(f5926,plain,
( spl13_466
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK8(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1)
| ~ m1_relset_1(sK6(X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_466])]) ).
fof(f1445,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK8(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1)
| ~ m1_relset_1(sK6(X2),X2,X2) )
| ~ spl13_99
| ~ spl13_162 ),
inference(superposition,[],[f779,f1405]) ).
fof(f5924,plain,
( spl13_465
| ~ spl13_56
| ~ spl13_161 ),
inference(avatar_split_clause,[],[f1443,f1400,f473,f5922]) ).
fof(f5922,plain,
( spl13_465
<=> ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK7(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_465])]) ).
fof(f1443,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k5_relat_1(sK7(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_56
| ~ spl13_161 ),
inference(superposition,[],[f474,f1401]) ).
fof(f5920,plain,
( spl13_464
| ~ spl13_99
| ~ spl13_161 ),
inference(avatar_split_clause,[],[f1442,f1400,f778,f5918]) ).
fof(f5918,plain,
( spl13_464
<=> ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK7(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK6(X2),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_464])]) ).
fof(f1442,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k5_relat_1(sK7(X0,X1),sK6(X2)),X0,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK6(X2),X2,X2) )
| ~ spl13_99
| ~ spl13_161 ),
inference(superposition,[],[f779,f1401]) ).
fof(f5740,plain,
( spl13_463
| ~ spl13_17
| ~ spl13_187 ),
inference(avatar_split_clause,[],[f1624,f1599,f258,f5738]) ).
fof(f5738,plain,
( spl13_463
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,k2_zfmisc_1(X1,X2)) = k5_relat_1(X3,k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_463])]) ).
fof(f1599,plain,
( spl13_187
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_187])]) ).
fof(f1624,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,k2_zfmisc_1(X1,X2)) = k5_relat_1(X3,k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_17
| ~ spl13_187 ),
inference(resolution,[],[f1600,f259]) ).
fof(f1600,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X4,k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_187 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f5736,plain,
( spl13_462
| ~ spl13_34
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1557,f1507,f334,f5734]) ).
fof(f5734,plain,
( spl13_462
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK8(X2,X3)) = k5_relat_1(sK9(X0,X1),sK8(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_462])]) ).
fof(f5732,plain,
( spl13_461
| ~ spl13_70
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1556,f1507,f567,f5730]) ).
fof(f5730,plain,
( spl13_461
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK8(X2,X3)) = k5_relat_1(sK8(X0,X1),sK8(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_461])]) ).
fof(f5728,plain,
( spl13_460
| ~ spl13_32
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1555,f1507,f326,f5726]) ).
fof(f5726,plain,
( spl13_460
<=> ! [X0,X3,X2,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK8(X2,X3)) = k5_relat_1(sK7(X0,X1),sK8(X2,X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_460])]) ).
fof(f5681,plain,
( spl13_459
| ~ spl13_123
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1375,f1371,f1017,f5679]) ).
fof(f5679,plain,
( spl13_459
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| sK11 = k5_relat_1(sK11,k7_relset_1(X4,X5,X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_459])]) ).
fof(f1375,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| sK11 = k5_relat_1(sK11,k7_relset_1(X4,X5,X1,X2,X3,X0)) )
| ~ spl13_123
| ~ spl13_159 ),
inference(resolution,[],[f1372,f1018]) ).
fof(f5677,plain,
( spl13_458
| ~ spl13_124
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1374,f1371,f1021,f5675]) ).
fof(f5675,plain,
( spl13_458
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| sK11 = k5_relat_1(k7_relset_1(X4,X5,X1,X2,X3,X0),sK11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_458])]) ).
fof(f1374,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| sK11 = k5_relat_1(k7_relset_1(X4,X5,X1,X2,X3,X0),sK11) )
| ~ spl13_124
| ~ spl13_159 ),
inference(resolution,[],[f1372,f1022]) ).
fof(f5673,plain,
( spl13_457
| ~ spl13_41
| ~ spl13_152 ),
inference(avatar_split_clause,[],[f1341,f1296,f367,f5671]) ).
fof(f5671,plain,
( spl13_457
<=> ! [X4,X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_457])]) ).
fof(f367,plain,
( spl13_41
<=> ! [X0,X1] :
( v1_xboole_0(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f1341,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X3) )
| ~ spl13_41
| ~ spl13_152 ),
inference(resolution,[],[f1297,f368]) ).
fof(f368,plain,
( ! [X0,X1] :
( v1_xboole_0(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) )
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f5669,plain,
( spl13_456
| ~ spl13_43
| ~ spl13_152 ),
inference(avatar_split_clause,[],[f1340,f1296,f377,f5667]) ).
fof(f5667,plain,
( spl13_456
<=> ! [X4,X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_456])]) ).
fof(f377,plain,
( spl13_43
<=> ! [X0,X1] :
( v1_xboole_0(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f1340,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X4) )
| ~ spl13_43
| ~ spl13_152 ),
inference(resolution,[],[f1297,f378]) ).
fof(f378,plain,
( ! [X0,X1] :
( v1_xboole_0(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) )
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f5665,plain,
( spl13_455
| ~ spl13_41
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f1333,f1292,f367,f5663]) ).
fof(f5663,plain,
( spl13_455
<=> ! [X4,X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(k5_relat_1(X2,X3),X4)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_455])]) ).
fof(f1333,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_relat_1(X0,X1) = k5_relat_1(k5_relat_1(X2,X3),X4)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X2) )
| ~ spl13_41
| ~ spl13_151 ),
inference(resolution,[],[f1293,f368]) ).
fof(f5661,plain,
( spl13_454
| ~ spl13_43
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f1332,f1292,f377,f5659]) ).
fof(f5659,plain,
( spl13_454
<=> ! [X4,X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(k5_relat_1(X2,X3),X4)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_454])]) ).
fof(f1332,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_relat_1(X0,X1) = k5_relat_1(k5_relat_1(X2,X3),X4)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) )
| ~ spl13_43
| ~ spl13_151 ),
inference(resolution,[],[f1293,f378]) ).
fof(f5657,plain,
( spl13_453
| ~ spl13_41
| ~ spl13_150 ),
inference(avatar_split_clause,[],[f1325,f1288,f367,f5655]) ).
fof(f5655,plain,
( spl13_453
<=> ! [X4,X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_453])]) ).
fof(f1325,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X4)
| ~ v1_xboole_0(X3) )
| ~ spl13_41
| ~ spl13_150 ),
inference(resolution,[],[f1289,f368]) ).
fof(f5653,plain,
( spl13_452
| ~ spl13_43
| ~ spl13_150 ),
inference(avatar_split_clause,[],[f1324,f1288,f377,f5651]) ).
fof(f5651,plain,
( spl13_452
<=> ! [X4,X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_452])]) ).
fof(f1324,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k5_relat_1(X3,X4))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X4) )
| ~ spl13_43
| ~ spl13_150 ),
inference(resolution,[],[f1289,f378]) ).
fof(f5649,plain,
( spl13_451
| ~ spl13_95
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1144,f1083,f747,f5647]) ).
fof(f5647,plain,
( spl13_451
<=> ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_451])]) ).
fof(f1083,plain,
( spl13_129
<=> ! [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,[spl13_129])]) ).
fof(f1144,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) )
| ~ spl13_95
| ~ spl13_129 ),
inference(resolution,[],[f1084,f748]) ).
fof(f1084,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl13_129 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f5397,plain,
( spl13_450
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242 ),
inference(avatar_split_clause,[],[f2485,f2417,f338,f294,f5394]) ).
fof(f5394,plain,
( spl13_450
<=> sK0 = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_450])]) ).
fof(f2485,plain,
( sK0 = sK11
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242 ),
inference(forward_demodulation,[],[f2471,f340]) ).
fof(f2471,plain,
( k1_xboole_0 = sK0
| ~ spl13_25
| ~ spl13_242 ),
inference(resolution,[],[f2419,f295]) ).
fof(f2419,plain,
( v1_xboole_0(sK0)
| ~ spl13_242 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f5213,plain,
( spl13_449
| spl13_239
| ~ spl13_368 ),
inference(avatar_split_clause,[],[f3954,f3906,f2375,f5210]) ).
fof(f5210,plain,
( spl13_449
<=> sK11 = k5_relat_1(sK3(k2_zfmisc_1(sK0,sK1)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_449])]) ).
fof(f3906,plain,
( spl13_368
<=> ! [X0,X1] :
( sK11 = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_368])]) ).
fof(f3954,plain,
( sK11 = k5_relat_1(sK3(k2_zfmisc_1(sK0,sK1)),sK11)
| spl13_239
| ~ spl13_368 ),
inference(resolution,[],[f3907,f2376]) ).
fof(f2376,plain,
( ~ v1_xboole_0(k2_zfmisc_1(sK0,sK1))
| spl13_239 ),
inference(avatar_component_clause,[],[f2375]) ).
fof(f3907,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK11 = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11) )
| ~ spl13_368 ),
inference(avatar_component_clause,[],[f3906]) ).
fof(f5195,plain,
( spl13_448
| ~ spl13_27
| ~ spl13_157
| ~ spl13_208 ),
inference(avatar_split_clause,[],[f1931,f1833,f1317,f302,f5193]) ).
fof(f5193,plain,
( spl13_448
<=> ! [X0,X1] : k5_relat_1(sK6(X0),sK6(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(sK6(X0),sK6(X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_448])]) ).
fof(f1931,plain,
( ! [X0,X1] : k5_relat_1(sK6(X0),sK6(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(sK6(X0),sK6(X1)),k6_relat_1(X1))
| ~ spl13_27
| ~ spl13_157
| ~ spl13_208 ),
inference(forward_demodulation,[],[f1924,f1318]) ).
fof(f1924,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),sK6(X1)) = k7_relset_1(X0,X1,X1,X1,k7_relset_1(X0,X0,X1,X1,sK6(X0),sK6(X1)),k6_relat_1(X1))
| ~ spl13_27
| ~ spl13_208 ),
inference(resolution,[],[f1834,f303]) ).
fof(f5191,plain,
( spl13_447
| ~ spl13_27
| ~ spl13_64
| ~ spl13_160
| ~ spl13_208 ),
inference(avatar_split_clause,[],[f1930,f1833,f1396,f529,f302,f5189]) ).
fof(f5189,plain,
( spl13_447
<=> ! [X0,X1] : k5_relat_1(sK6(X0),k6_relat_1(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(sK6(X0),k6_relat_1(X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_447])]) ).
fof(f1930,plain,
( ! [X0,X1] : k5_relat_1(sK6(X0),k6_relat_1(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(sK6(X0),k6_relat_1(X1)),k6_relat_1(X1))
| ~ spl13_27
| ~ spl13_64
| ~ spl13_160
| ~ spl13_208 ),
inference(forward_demodulation,[],[f1922,f1435]) ).
fof(f1435,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),k6_relat_1(X1)) = k5_relat_1(sK6(X0),k6_relat_1(X1))
| ~ spl13_27
| ~ spl13_160 ),
inference(resolution,[],[f1397,f303]) ).
fof(f1922,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),k6_relat_1(X1)) = k7_relset_1(X0,X1,X1,X1,k7_relset_1(X0,X0,X1,X1,sK6(X0),k6_relat_1(X1)),k6_relat_1(X1))
| ~ spl13_64
| ~ spl13_208 ),
inference(resolution,[],[f1834,f530]) ).
fof(f5187,plain,
( spl13_446
| ~ spl13_27
| ~ spl13_156
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1916,f1829,f1313,f302,f5185]) ).
fof(f5185,plain,
( spl13_446
<=> ! [X0,X1] : k5_relat_1(k6_relat_1(X0),sK6(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(k6_relat_1(X0),sK6(X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_446])]) ).
fof(f1916,plain,
( ! [X0,X1] : k5_relat_1(k6_relat_1(X0),sK6(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(k6_relat_1(X0),sK6(X1)),k6_relat_1(X1))
| ~ spl13_27
| ~ spl13_156
| ~ spl13_207 ),
inference(forward_demodulation,[],[f1909,f1314]) ).
fof(f1909,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),sK6(X1)) = k7_relset_1(X0,X1,X1,X1,k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),sK6(X1)),k6_relat_1(X1))
| ~ spl13_27
| ~ spl13_207 ),
inference(resolution,[],[f1830,f303]) ).
fof(f5183,plain,
( spl13_445
| ~ spl13_64
| ~ spl13_160
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1915,f1829,f1396,f529,f5181]) ).
fof(f5181,plain,
( spl13_445
<=> ! [X0,X1] : k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_445])]) ).
fof(f1915,plain,
( ! [X0,X1] : k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)) = k7_relset_1(X0,X1,X1,X1,k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)),k6_relat_1(X1))
| ~ spl13_64
| ~ spl13_160
| ~ spl13_207 ),
inference(forward_demodulation,[],[f1907,f1433]) ).
fof(f1433,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),k6_relat_1(X1)) = k5_relat_1(k6_relat_1(X0),k6_relat_1(X1))
| ~ spl13_64
| ~ spl13_160 ),
inference(resolution,[],[f1397,f530]) ).
fof(f1907,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),k6_relat_1(X1)) = k7_relset_1(X0,X1,X1,X1,k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),k6_relat_1(X1)),k6_relat_1(X1))
| ~ spl13_64
| ~ spl13_207 ),
inference(resolution,[],[f1830,f530]) ).
fof(f5179,plain,
( spl13_444
| ~ spl13_27
| ~ spl13_157
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1901,f1825,f1317,f302,f5177]) ).
fof(f5177,plain,
( spl13_444
<=> ! [X0,X1] : k5_relat_1(sK6(X0),sK6(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(sK6(X0),sK6(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_444])]) ).
fof(f1901,plain,
( ! [X0,X1] : k5_relat_1(sK6(X0),sK6(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(sK6(X0),sK6(X1)))
| ~ spl13_27
| ~ spl13_157
| ~ spl13_206 ),
inference(forward_demodulation,[],[f1894,f1318]) ).
fof(f1894,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),sK6(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X1,sK6(X0),sK6(X1)))
| ~ spl13_27
| ~ spl13_206 ),
inference(resolution,[],[f1826,f303]) ).
fof(f5175,plain,
( spl13_443
| ~ spl13_27
| ~ spl13_64
| ~ spl13_160
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1900,f1825,f1396,f529,f302,f5173]) ).
fof(f5173,plain,
( spl13_443
<=> ! [X0,X1] : k5_relat_1(sK6(X0),k6_relat_1(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(sK6(X0),k6_relat_1(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_443])]) ).
fof(f1900,plain,
( ! [X0,X1] : k5_relat_1(sK6(X0),k6_relat_1(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(sK6(X0),k6_relat_1(X1)))
| ~ spl13_27
| ~ spl13_64
| ~ spl13_160
| ~ spl13_206 ),
inference(forward_demodulation,[],[f1892,f1435]) ).
fof(f1892,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),k6_relat_1(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X1,sK6(X0),k6_relat_1(X1)))
| ~ spl13_64
| ~ spl13_206 ),
inference(resolution,[],[f1826,f530]) ).
fof(f5171,plain,
( spl13_442
| ~ spl13_27
| ~ spl13_156
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1882,f1821,f1313,f302,f5169]) ).
fof(f5169,plain,
( spl13_442
<=> ! [X0,X1] : k5_relat_1(k6_relat_1(X0),sK6(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK6(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_442])]) ).
fof(f1882,plain,
( ! [X0,X1] : k5_relat_1(k6_relat_1(X0),sK6(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK6(X1)))
| ~ spl13_27
| ~ spl13_156
| ~ spl13_205 ),
inference(forward_demodulation,[],[f1875,f1314]) ).
fof(f1875,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),sK6(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),sK6(X1)))
| ~ spl13_27
| ~ spl13_205 ),
inference(resolution,[],[f1822,f303]) ).
fof(f5167,plain,
( spl13_441
| ~ spl13_64
| ~ spl13_160
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1881,f1821,f1396,f529,f5165]) ).
fof(f5165,plain,
( spl13_441
<=> ! [X0,X1] : k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),k6_relat_1(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_441])]) ).
fof(f1881,plain,
( ! [X0,X1] : k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)))
| ~ spl13_64
| ~ spl13_160
| ~ spl13_205 ),
inference(forward_demodulation,[],[f1873,f1433]) ).
fof(f1873,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),k6_relat_1(X1)) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),k6_relat_1(X1)))
| ~ spl13_64
| ~ spl13_205 ),
inference(resolution,[],[f1822,f530]) ).
fof(f5163,plain,
( spl13_440
| ~ spl13_17
| ~ spl13_184 ),
inference(avatar_split_clause,[],[f1589,f1548,f258,f5161]) ).
fof(f5161,plain,
( spl13_440
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,k2_zfmisc_1(X1,X2)) = k5_relat_1(X3,k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_440])]) ).
fof(f1548,plain,
( spl13_184
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_184])]) ).
fof(f1589,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,k2_zfmisc_1(X1,X2)) = k5_relat_1(X3,k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_17
| ~ spl13_184 ),
inference(resolution,[],[f1549,f259]) ).
fof(f1549,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X4,k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_184 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f5159,plain,
( spl13_439
| ~ spl13_17
| ~ spl13_183 ),
inference(avatar_split_clause,[],[f1588,f1544,f258,f5157]) ).
fof(f5157,plain,
( spl13_439
<=> ! [X0,X3,X2,X1] :
( ~ m2_relset_1(X0,X1,X2)
| k9_relset_2(X3,X1,X2,k2_zfmisc_1(X3,X1),X0) = k5_relat_1(k2_zfmisc_1(X3,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_439])]) ).
fof(f1544,plain,
( spl13_183
<=> ! [X4,X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_relset_1(X4,X1,X2)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_183])]) ).
fof(f1588,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| k9_relset_2(X3,X1,X2,k2_zfmisc_1(X3,X1),X0) = k5_relat_1(k2_zfmisc_1(X3,X1),X0) )
| ~ spl13_17
| ~ spl13_183 ),
inference(resolution,[],[f1545,f259]) ).
fof(f1545,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X4,X1,X2)
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) )
| ~ spl13_183 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f5155,plain,
( spl13_438
| ~ spl13_72
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1505,f1483,f575,f5153]) ).
fof(f5153,plain,
( spl13_438
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK9(X1,X2)) = k5_relat_1(X3,sK9(X1,X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_438])]) ).
fof(f1505,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK9(X1,X2)) = k5_relat_1(X3,sK9(X1,X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_72
| ~ spl13_172 ),
inference(resolution,[],[f1484,f576]) ).
fof(f5151,plain,
( spl13_437
| ~ spl13_33
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1504,f1483,f330,f5149]) ).
fof(f5149,plain,
( spl13_437
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK8(X1,X2)) = k5_relat_1(X3,sK8(X1,X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_437])]) ).
fof(f1504,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK8(X1,X2)) = k5_relat_1(X3,sK8(X1,X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_33
| ~ spl13_172 ),
inference(resolution,[],[f1484,f331]) ).
fof(f5147,plain,
( spl13_436
| ~ spl13_71
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1503,f1483,f571,f5145]) ).
fof(f5145,plain,
( spl13_436
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK7(X1,X2)) = k5_relat_1(X3,sK7(X1,X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_436])]) ).
fof(f1503,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK7(X1,X2)) = k5_relat_1(X3,sK7(X1,X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_71
| ~ spl13_172 ),
inference(resolution,[],[f1484,f572]) ).
fof(f5143,plain,
( spl13_435
| ~ spl13_159
| ~ spl13_168 ),
inference(avatar_split_clause,[],[f1468,f1429,f1371,f5141]) ).
fof(f5141,plain,
( spl13_435
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK6(X0),sK9(X1,X2)))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_435])]) ).
fof(f1468,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK6(X0),sK9(X1,X2)))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_159
| ~ spl13_168 ),
inference(superposition,[],[f1372,f1430]) ).
fof(f5139,plain,
( spl13_434
| ~ spl13_159
| ~ spl13_167 ),
inference(avatar_split_clause,[],[f1459,f1425,f1371,f5137]) ).
fof(f5137,plain,
( spl13_434
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(k6_relat_1(X0),sK9(X1,X2)))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_434])]) ).
fof(f1459,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(k6_relat_1(X0),sK9(X1,X2)))
| ~ m1_relset_1(sK9(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_159
| ~ spl13_167 ),
inference(superposition,[],[f1372,f1426]) ).
fof(f5135,plain,
( spl13_433
| ~ spl13_159
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1455,f1421,f1371,f5133]) ).
fof(f5133,plain,
( spl13_433
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK6(X0),sK7(X1,X2)))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_433])]) ).
fof(f1455,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK6(X0),sK7(X1,X2)))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_159
| ~ spl13_166 ),
inference(superposition,[],[f1372,f1422]) ).
fof(f5131,plain,
( spl13_432
| ~ spl13_159
| ~ spl13_164 ),
inference(avatar_split_clause,[],[f1451,f1412,f1371,f5129]) ).
fof(f5129,plain,
( spl13_432
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(k6_relat_1(X0),sK7(X1,X2)))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_432])]) ).
fof(f1451,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(k6_relat_1(X0),sK7(X1,X2)))
| ~ m1_relset_1(sK7(X1,X2),X1,X2)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_159
| ~ spl13_164 ),
inference(superposition,[],[f1372,f1413]) ).
fof(f5127,plain,
( spl13_431
| ~ spl13_159
| ~ spl13_163 ),
inference(avatar_split_clause,[],[f1447,f1408,f1371,f5125]) ).
fof(f5125,plain,
( spl13_431
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK9(X0,X1),sK6(X2)))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_431])]) ).
fof(f1447,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK9(X0,X1),sK6(X2)))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_163 ),
inference(superposition,[],[f1372,f1409]) ).
fof(f5123,plain,
( spl13_430
| ~ spl13_159
| ~ spl13_162 ),
inference(avatar_split_clause,[],[f1444,f1404,f1371,f5121]) ).
fof(f5121,plain,
( spl13_430
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK8(X0,X1),sK6(X2)))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_430])]) ).
fof(f1444,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK8(X0,X1),sK6(X2)))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK8(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_162 ),
inference(superposition,[],[f1372,f1405]) ).
fof(f5119,plain,
( spl13_429
| ~ spl13_159
| ~ spl13_161 ),
inference(avatar_split_clause,[],[f1441,f1400,f1371,f5117]) ).
fof(f5117,plain,
( spl13_429
<=> ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK7(X0,X1),sK6(X2)))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_429])]) ).
fof(f1441,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k5_relat_1(sK7(X0,X1),sK6(X2)))
| ~ m1_relset_1(sK6(X2),X2,X2)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_159
| ~ spl13_161 ),
inference(superposition,[],[f1372,f1401]) ).
fof(f5115,plain,
( spl13_428
| ~ spl13_56
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1367,f1317,f473,f5113]) ).
fof(f5113,plain,
( spl13_428
<=> ! [X0,X1] :
( m2_relset_1(k5_relat_1(sK6(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_428])]) ).
fof(f1367,plain,
( ! [X0,X1] :
( m2_relset_1(k5_relat_1(sK6(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_56
| ~ spl13_157 ),
inference(superposition,[],[f474,f1318]) ).
fof(f5111,plain,
( spl13_427
| ~ spl13_99
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1366,f1317,f778,f5109]) ).
fof(f5109,plain,
( spl13_427
<=> ! [X0,X1] :
( m1_relset_1(k5_relat_1(sK6(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK6(X1),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_427])]) ).
fof(f1366,plain,
( ! [X0,X1] :
( m1_relset_1(k5_relat_1(sK6(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK6(X1),X1,X1) )
| ~ spl13_99
| ~ spl13_157 ),
inference(superposition,[],[f779,f1318]) ).
fof(f5107,plain,
( spl13_426
| ~ spl13_56
| ~ spl13_156 ),
inference(avatar_split_clause,[],[f1364,f1313,f473,f5105]) ).
fof(f5105,plain,
( spl13_426
<=> ! [X0,X1] :
( m2_relset_1(k5_relat_1(k6_relat_1(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_426])]) ).
fof(f1364,plain,
( ! [X0,X1] :
( m2_relset_1(k5_relat_1(k6_relat_1(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_56
| ~ spl13_156 ),
inference(superposition,[],[f474,f1314]) ).
fof(f5092,plain,
( spl13_425
| ~ spl13_25
| ~ spl13_35
| ~ spl13_243 ),
inference(avatar_split_clause,[],[f2588,f2421,f338,f294,f5089]) ).
fof(f2588,plain,
( sK1 = sK11
| ~ spl13_25
| ~ spl13_35
| ~ spl13_243 ),
inference(forward_demodulation,[],[f2574,f340]) ).
fof(f2574,plain,
( k1_xboole_0 = sK1
| ~ spl13_25
| ~ spl13_243 ),
inference(resolution,[],[f2423,f295]) ).
fof(f2423,plain,
( v1_xboole_0(sK1)
| ~ spl13_243 ),
inference(avatar_component_clause,[],[f2421]) ).
fof(f5087,plain,
( spl13_424
| ~ spl13_99
| ~ spl13_156 ),
inference(avatar_split_clause,[],[f1363,f1313,f778,f5085]) ).
fof(f5085,plain,
( spl13_424
<=> ! [X0,X1] :
( m1_relset_1(k5_relat_1(k6_relat_1(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ m1_relset_1(sK6(X1),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_424])]) ).
fof(f1363,plain,
( ! [X0,X1] :
( m1_relset_1(k5_relat_1(k6_relat_1(X0),sK6(X1)),X0,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ m1_relset_1(sK6(X1),X1,X1) )
| ~ spl13_99
| ~ spl13_156 ),
inference(superposition,[],[f779,f1314]) ).
fof(f5083,plain,
( spl13_423
| ~ spl13_46
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1131,f1079,f389,f5081]) ).
fof(f5081,plain,
( spl13_423
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_423])]) ).
fof(f389,plain,
( spl13_46
<=> ! [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,[spl13_46])]) ).
fof(f1131,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK4(sK3(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) )
| ~ spl13_46
| ~ spl13_128 ),
inference(resolution,[],[f1080,f390]) ).
fof(f390,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f4696,plain,
( spl13_422
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242
| ~ spl13_251 ),
inference(avatar_split_clause,[],[f2512,f2509,f2417,f338,f294,f4694]) ).
fof(f4694,plain,
( spl13_422
<=> ! [X0,X1] : k5_relat_1(sK2,sK8(X0,X1)) = k7_relset_1(sK11,sK1,X0,X1,sK2,sK8(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_422])]) ).
fof(f2509,plain,
( spl13_251
<=> ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k5_relat_1(sK2,sK8(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_251])]) ).
fof(f2512,plain,
( ! [X0,X1] : k5_relat_1(sK2,sK8(X0,X1)) = k7_relset_1(sK11,sK1,X0,X1,sK2,sK8(X0,X1))
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242
| ~ spl13_251 ),
inference(forward_demodulation,[],[f2510,f2485]) ).
fof(f2510,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k5_relat_1(sK2,sK8(X0,X1))
| ~ spl13_251 ),
inference(avatar_component_clause,[],[f2509]) ).
fof(f4632,plain,
( spl13_421
| spl13_239
| ~ spl13_367 ),
inference(avatar_split_clause,[],[f3927,f3902,f2375,f4629]) ).
fof(f4629,plain,
( spl13_421
<=> sK11 = k5_relat_1(sK11,sK3(k2_zfmisc_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_421])]) ).
fof(f3902,plain,
( spl13_367
<=> ! [X0,X1] :
( sK11 = k5_relat_1(sK11,sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_367])]) ).
fof(f3927,plain,
( sK11 = k5_relat_1(sK11,sK3(k2_zfmisc_1(sK0,sK1)))
| spl13_239
| ~ spl13_367 ),
inference(resolution,[],[f3903,f2376]) ).
fof(f3903,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK11 = k5_relat_1(sK11,sK3(k2_zfmisc_1(X0,X1))) )
| ~ spl13_367 ),
inference(avatar_component_clause,[],[f3902]) ).
fof(f4591,plain,
( spl13_420
| ~ spl13_27
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1554,f1507,f302,f4589]) ).
fof(f4589,plain,
( spl13_420
<=> ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK8(X1,X2)) = k5_relat_1(sK6(X0),sK8(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_420])]) ).
fof(f4587,plain,
( spl13_419
| ~ spl13_64
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1552,f1507,f529,f4585]) ).
fof(f4585,plain,
( spl13_419
<=> ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK8(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK8(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_419])]) ).
fof(f4583,plain,
( spl13_418
| ~ spl13_34
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1438,f1396,f334,f4581]) ).
fof(f4581,plain,
( spl13_418
<=> ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),k6_relat_1(X2)) = k5_relat_1(sK9(X0,X1),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_418])]) ).
fof(f4579,plain,
( spl13_417
| ~ spl13_70
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1437,f1396,f567,f4577]) ).
fof(f4577,plain,
( spl13_417
<=> ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),k6_relat_1(X2)) = k5_relat_1(sK8(X0,X1),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_417])]) ).
fof(f4575,plain,
( spl13_416
| ~ spl13_32
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1436,f1396,f326,f4573]) ).
fof(f4573,plain,
( spl13_416
<=> ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),k6_relat_1(X2)) = k5_relat_1(sK7(X0,X1),k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_416])]) ).
fof(f4571,plain,
( spl13_415
| ~ spl13_120
| ~ spl13_152 ),
inference(avatar_split_clause,[],[f1343,f1296,f972,f4569]) ).
fof(f4569,plain,
( spl13_415
<=> ! [X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK4(k1_zfmisc_1(X3)))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_415])]) ).
fof(f972,plain,
( spl13_120
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).
fof(f1343,plain,
( ! [X2,X3,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK4(k1_zfmisc_1(X3)))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X3) )
| ~ spl13_120
| ~ spl13_152 ),
inference(resolution,[],[f1297,f973]) ).
fof(f973,plain,
( ! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl13_120 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f4567,plain,
( spl13_414
| ~ spl13_120
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f1335,f1292,f972,f4565]) ).
fof(f4565,plain,
( spl13_414
<=> ! [X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(sK4(k1_zfmisc_1(X2)),X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_414])]) ).
fof(f1335,plain,
( ! [X2,X3,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(sK4(k1_zfmisc_1(X2)),X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X2) )
| ~ spl13_120
| ~ spl13_151 ),
inference(resolution,[],[f1293,f973]) ).
fof(f4563,plain,
( spl13_413
| ~ spl13_120
| ~ spl13_150 ),
inference(avatar_split_clause,[],[f1327,f1288,f972,f4561]) ).
fof(f4561,plain,
( spl13_413
<=> ! [X0,X3,X2,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK4(k1_zfmisc_1(X3)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_413])]) ).
fof(f1327,plain,
( ! [X2,X3,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK4(k1_zfmisc_1(X3)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X3) )
| ~ spl13_120
| ~ spl13_150 ),
inference(resolution,[],[f1289,f973]) ).
fof(f4559,plain,
( spl13_412
| ~ spl13_34
| ~ spl13_267 ),
inference(avatar_split_clause,[],[f2675,f2672,f334,f4557]) ).
fof(f4557,plain,
( spl13_412
<=> ! [X0,X1] : m2_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_412])]) ).
fof(f2672,plain,
( spl13_267
<=> ! [X0,X1] :
( m2_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_267])]) ).
fof(f2675,plain,
( ! [X0,X1] : m2_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1)
| ~ spl13_34
| ~ spl13_267 ),
inference(resolution,[],[f2673,f335]) ).
fof(f2673,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK9(X0,X1),X0,X1)
| m2_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1) )
| ~ spl13_267 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f4555,plain,
( spl13_411
| ~ spl13_41
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1211,f1183,f367,f4553]) ).
fof(f4553,plain,
( spl13_411
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(k5_relat_1(X1,X2),X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_411])]) ).
fof(f1211,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(k5_relat_1(X1,X2),X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) )
| ~ spl13_41
| ~ spl13_143 ),
inference(resolution,[],[f1184,f368]) ).
fof(f4551,plain,
( spl13_410
| ~ spl13_43
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1210,f1183,f377,f4549]) ).
fof(f4549,plain,
( spl13_410
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(k5_relat_1(X1,X2),X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_410])]) ).
fof(f1210,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(k5_relat_1(X1,X2),X3))
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) )
| ~ spl13_43
| ~ spl13_143 ),
inference(resolution,[],[f1184,f378]) ).
fof(f4547,plain,
( spl13_409
| ~ spl13_41
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1203,f1174,f367,f4545]) ).
fof(f4545,plain,
( spl13_409
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,k5_relat_1(X2,X3)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_409])]) ).
fof(f1203,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,k5_relat_1(X2,X3)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X2) )
| ~ spl13_41
| ~ spl13_142 ),
inference(resolution,[],[f1175,f368]) ).
fof(f4543,plain,
( spl13_408
| ~ spl13_43
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1202,f1174,f377,f4541]) ).
fof(f4541,plain,
( spl13_408
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,k5_relat_1(X2,X3)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_408])]) ).
fof(f1202,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,k5_relat_1(X2,X3)))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) )
| ~ spl13_43
| ~ spl13_142 ),
inference(resolution,[],[f1175,f378]) ).
fof(f4539,plain,
( spl13_407
| ~ spl13_41
| ~ spl13_141 ),
inference(avatar_split_clause,[],[f1195,f1170,f367,f4537]) ).
fof(f4537,plain,
( spl13_407
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(k5_relat_1(k5_relat_1(X0,X1),X2),X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_407])]) ).
fof(f1195,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(k5_relat_1(X0,X1),X2),X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) )
| ~ spl13_41
| ~ spl13_141 ),
inference(resolution,[],[f1171,f368]) ).
fof(f4535,plain,
( spl13_406
| ~ spl13_43
| ~ spl13_141 ),
inference(avatar_split_clause,[],[f1194,f1170,f377,f4533]) ).
fof(f4533,plain,
( spl13_406
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(k5_relat_1(k5_relat_1(X0,X1),X2),X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_406])]) ).
fof(f1194,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(k5_relat_1(X0,X1),X2),X3)
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) )
| ~ spl13_43
| ~ spl13_141 ),
inference(resolution,[],[f1171,f378]) ).
fof(f4531,plain,
( spl13_405
| ~ spl13_41
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1187,f1166,f367,f4529]) ).
fof(f4529,plain,
( spl13_405
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,k5_relat_1(X1,X2)),X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_405])]) ).
fof(f1187,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,k5_relat_1(X1,X2)),X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) )
| ~ spl13_41
| ~ spl13_140 ),
inference(resolution,[],[f1167,f368]) ).
fof(f4527,plain,
( spl13_404
| ~ spl13_43
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1186,f1166,f377,f4525]) ).
fof(f4525,plain,
( spl13_404
<=> ! [X0,X3,X2,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,k5_relat_1(X1,X2)),X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_404])]) ).
fof(f1186,plain,
( ! [X2,X3,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,k5_relat_1(X1,X2)),X3)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X3)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) )
| ~ spl13_43
| ~ spl13_140 ),
inference(resolution,[],[f1167,f378]) ).
fof(f4499,plain,
( spl13_403
| ~ spl13_34
| ~ spl13_266 ),
inference(avatar_split_clause,[],[f2670,f2667,f334,f4497]) ).
fof(f4497,plain,
( spl13_403
<=> ! [X0,X1] : m1_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_403])]) ).
fof(f2667,plain,
( spl13_266
<=> ! [X0,X1] :
( m1_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_266])]) ).
fof(f2670,plain,
( ! [X0,X1] : m1_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1)
| ~ spl13_34
| ~ spl13_266 ),
inference(resolution,[],[f2668,f335]) ).
fof(f2668,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK9(X0,X1),X0,X1)
| m1_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1) )
| ~ spl13_266 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f4484,plain,
( spl13_402
| ~ spl13_65
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1502,f1483,f533,f4482]) ).
fof(f4482,plain,
( spl13_402
<=> ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X1,X2,sK6(X1)) = k5_relat_1(X2,sK6(X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_402])]) ).
fof(f1502,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X1,X2,sK6(X1)) = k5_relat_1(X2,sK6(X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl13_65
| ~ spl13_172 ),
inference(resolution,[],[f1484,f534]) ).
fof(f4480,plain,
( spl13_401
| ~ spl13_29
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1499,f1483,f310,f4478]) ).
fof(f1499,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X1,X2,k6_relat_1(X1)) = k5_relat_1(X2,k6_relat_1(X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl13_29
| ~ spl13_172 ),
inference(resolution,[],[f1484,f311]) ).
fof(f4476,plain,
( spl13_400
| ~ spl13_157
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1389,f1371,f1317,f4474]) ).
fof(f4474,plain,
( spl13_400
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(sK6(X0),sK6(X1)))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_400])]) ).
fof(f1389,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(sK6(X0),sK6(X1)))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_157
| ~ spl13_159 ),
inference(superposition,[],[f1372,f1318]) ).
fof(f4472,plain,
( spl13_399
| ~ spl13_156
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1388,f1371,f1313,f4470]) ).
fof(f4470,plain,
( spl13_399
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(k6_relat_1(X0),sK6(X1)))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_399])]) ).
fof(f1388,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(k6_relat_1(X0),sK6(X1)))
| ~ m1_relset_1(sK6(X1),X1,X1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) )
| ~ spl13_156
| ~ spl13_159 ),
inference(superposition,[],[f1372,f1314]) ).
fof(f4468,plain,
( spl13_398
| ~ spl13_53
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1140,f1079,f446,f4466]) ).
fof(f4466,plain,
( spl13_398
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK3(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK4(sK3(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_398])]) ).
fof(f446,plain,
( spl13_53
<=> ! [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,[spl13_53])]) ).
fof(f1140,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK3(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK4(sK3(k1_zfmisc_1(X0)))) )
| ~ spl13_53
| ~ spl13_128 ),
inference(resolution,[],[f1080,f447]) ).
fof(f447,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl13_53 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f4464,plain,
( spl13_397
| ~ spl13_32
| ~ spl13_265 ),
inference(avatar_split_clause,[],[f2665,f2662,f326,f4462]) ).
fof(f4462,plain,
( spl13_397
<=> ! [X0,X1] : m2_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_397])]) ).
fof(f2662,plain,
( spl13_265
<=> ! [X0,X1] :
( m2_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_265])]) ).
fof(f2665,plain,
( ! [X0,X1] : m2_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1)
| ~ spl13_32
| ~ spl13_265 ),
inference(resolution,[],[f2663,f327]) ).
fof(f2663,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK7(X0,X1),X0,X1)
| m2_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1) )
| ~ spl13_265 ),
inference(avatar_component_clause,[],[f2662]) ).
fof(f4460,plain,
( spl13_396
| ~ spl13_58
| ~ spl13_136 ),
inference(avatar_split_clause,[],[f1117,f1113,f489,f4458]) ).
fof(f4458,plain,
( spl13_396
<=> ! [X2,X0,X1] :
( m2_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_396])]) ).
fof(f1113,plain,
( spl13_136
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_136])]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( m2_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_58
| ~ spl13_136 ),
inference(superposition,[],[f490,f1114]) ).
fof(f1114,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK11)
| ~ spl13_136 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f4456,plain,
( spl13_395
| ~ spl13_103
| ~ spl13_136 ),
inference(avatar_split_clause,[],[f1116,f1113,f827,f4454]) ).
fof(f4454,plain,
( spl13_395
<=> ! [X2,X0,X1] :
( m1_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_395])]) ).
fof(f1116,plain,
( ! [X2,X0,X1] :
( m1_relset_1(sK11,X0,X2)
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(sK11,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_103
| ~ spl13_136 ),
inference(superposition,[],[f828,f1114]) ).
fof(f4350,plain,
( spl13_394
| ~ spl13_32
| ~ spl13_264 ),
inference(avatar_split_clause,[],[f2660,f2657,f326,f4348]) ).
fof(f4348,plain,
( spl13_394
<=> ! [X0,X1] : m1_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_394])]) ).
fof(f2657,plain,
( spl13_264
<=> ! [X0,X1] :
( m1_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_264])]) ).
fof(f2660,plain,
( ! [X0,X1] : m1_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1)
| ~ spl13_32
| ~ spl13_264 ),
inference(resolution,[],[f2658,f327]) ).
fof(f2658,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK7(X0,X1),X0,X1)
| m1_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1) )
| ~ spl13_264 ),
inference(avatar_component_clause,[],[f2657]) ).
fof(f4338,plain,
( spl13_393
| ~ spl13_27
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1435,f1396,f302,f4336]) ).
fof(f4336,plain,
( spl13_393
<=> ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),k6_relat_1(X1)) = k5_relat_1(sK6(X0),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_393])]) ).
fof(f4334,plain,
( spl13_392
| ~ spl13_64
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1433,f1396,f529,f4332]) ).
fof(f4332,plain,
( spl13_392
<=> ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),k6_relat_1(X1)) = k5_relat_1(k6_relat_1(X0),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_392])]) ).
fof(f4330,plain,
( spl13_391
| ~ spl13_120
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1213,f1183,f972,f4328]) ).
fof(f4328,plain,
( spl13_391
<=> ! [X2,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(sK4(k1_zfmisc_1(X1)),X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_391])]) ).
fof(f1213,plain,
( ! [X2,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(sK4(k1_zfmisc_1(X1)),X2))
| ~ v1_relat_1(X2)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) )
| ~ spl13_120
| ~ spl13_143 ),
inference(resolution,[],[f1184,f973]) ).
fof(f4326,plain,
( spl13_390
| ~ spl13_120
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1205,f1174,f972,f4324]) ).
fof(f4324,plain,
( spl13_390
<=> ! [X2,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,sK4(k1_zfmisc_1(X2))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_390])]) ).
fof(f1205,plain,
( ! [X2,X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,sK4(k1_zfmisc_1(X2))))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X2) )
| ~ spl13_120
| ~ spl13_142 ),
inference(resolution,[],[f1175,f973]) ).
fof(f4322,plain,
( spl13_389
| ~ spl13_120
| ~ spl13_141 ),
inference(avatar_split_clause,[],[f1197,f1170,f972,f4320]) ).
fof(f4320,plain,
( spl13_389
<=> ! [X2,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(sK4(k1_zfmisc_1(X0)),X1),X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_389])]) ).
fof(f1197,plain,
( ! [X2,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(sK4(k1_zfmisc_1(X0)),X1),X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) )
| ~ spl13_120
| ~ spl13_141 ),
inference(resolution,[],[f1171,f973]) ).
fof(f4318,plain,
( spl13_388
| ~ spl13_120
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1189,f1166,f972,f4316]) ).
fof(f4316,plain,
( spl13_388
<=> ! [X2,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,sK4(k1_zfmisc_1(X1))),X2)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_388])]) ).
fof(f1189,plain,
( ! [X2,X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,sK4(k1_zfmisc_1(X1))),X2)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) )
| ~ spl13_120
| ~ spl13_140 ),
inference(resolution,[],[f1167,f973]) ).
fof(f4314,plain,
( spl13_387
| ~ spl13_50
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1141,f1079,f428,f4312]) ).
fof(f4312,plain,
( spl13_387
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK3(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK4(sK3(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_387])]) ).
fof(f428,plain,
( spl13_50
<=> ! [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,[spl13_50])]) ).
fof(f1141,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK3(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK4(sK3(k1_zfmisc_1(X0)))) )
| ~ spl13_50
| ~ spl13_128 ),
inference(resolution,[],[f1080,f429]) ).
fof(f429,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl13_50 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f4310,plain,
( spl13_386
| ~ spl13_53
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1128,f1075,f446,f4308]) ).
fof(f4308,plain,
( spl13_386
<=> ! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_386])]) ).
fof(f1128,plain,
( ! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl13_53
| ~ spl13_127 ),
inference(resolution,[],[f1076,f447]) ).
fof(f4306,plain,
( spl13_385
| ~ spl13_46
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1119,f1075,f389,f4304]) ).
fof(f4304,plain,
( spl13_385
<=> ! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_385])]) ).
fof(f1119,plain,
( ! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) )
| ~ spl13_46
| ~ spl13_127 ),
inference(resolution,[],[f1076,f390]) ).
fof(f4298,plain,
( spl13_384
| ~ spl13_86
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1143,f1083,f677,f4296]) ).
fof(f4296,plain,
( spl13_384
<=> ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_384])]) ).
fof(f677,plain,
( spl13_86
<=> ! [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,[spl13_86])]) ).
fof(f1143,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) )
| ~ spl13_86
| ~ spl13_129 ),
inference(resolution,[],[f1084,f678]) ).
fof(f678,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl13_86 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f4294,plain,
( spl13_383
| ~ spl13_50
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1129,f1075,f428,f4292]) ).
fof(f4292,plain,
( spl13_383
<=> ! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_383])]) ).
fof(f1129,plain,
( ! [X0,X1] :
( v1_xboole_0(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK4(sK4(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl13_50
| ~ spl13_127 ),
inference(resolution,[],[f1076,f429]) ).
fof(f4190,plain,
( spl13_382
| ~ spl13_2
| ~ spl13_35
| ~ spl13_152 ),
inference(avatar_split_clause,[],[f1346,f1296,f338,f191,f4188]) ).
fof(f4188,plain,
( spl13_382
<=> ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK11)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_382])]) ).
fof(f191,plain,
( spl13_2
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f1346,plain,
( ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK11)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_152 ),
inference(forward_demodulation,[],[f1342,f340]) ).
fof(f1342,plain,
( ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k1_xboole_0)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) )
| ~ spl13_2
| ~ spl13_152 ),
inference(resolution,[],[f1297,f193]) ).
fof(f193,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f4186,plain,
( spl13_381
| ~ spl13_2
| ~ spl13_35
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f1338,f1292,f338,f191,f4184]) ).
fof(f4184,plain,
( spl13_381
<=> ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(sK11,X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_381])]) ).
fof(f1338,plain,
( ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(sK11,X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_151 ),
inference(forward_demodulation,[],[f1334,f340]) ).
fof(f1334,plain,
( ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(k1_xboole_0,X2)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) )
| ~ spl13_2
| ~ spl13_151 ),
inference(resolution,[],[f1293,f193]) ).
fof(f4160,plain,
( spl13_380
| ~ spl13_25
| ~ spl13_35
| ~ spl13_243
| ~ spl13_262 ),
inference(avatar_split_clause,[],[f2610,f2607,f2421,f338,f294,f4158]) ).
fof(f4158,plain,
( spl13_380
<=> ! [X0] : k5_relat_1(sK6(X0),sK2) = k7_relset_1(X0,sK11,sK11,sK11,k5_relat_1(sK6(X0),sK2),k6_relat_1(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_380])]) ).
fof(f2607,plain,
( spl13_262
<=> ! [X0] : k5_relat_1(sK6(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK6(X0),sK2),k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_262])]) ).
fof(f2610,plain,
( ! [X0] : k5_relat_1(sK6(X0),sK2) = k7_relset_1(X0,sK11,sK11,sK11,k5_relat_1(sK6(X0),sK2),k6_relat_1(sK11))
| ~ spl13_25
| ~ spl13_35
| ~ spl13_243
| ~ spl13_262 ),
inference(forward_demodulation,[],[f2608,f2588]) ).
fof(f2608,plain,
( ! [X0] : k5_relat_1(sK6(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK6(X0),sK2),k6_relat_1(sK1))
| ~ spl13_262 ),
inference(avatar_component_clause,[],[f2607]) ).
fof(f4071,plain,
( spl13_379
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2507,f2504,f2417,f338,f294,f4069]) ).
fof(f4069,plain,
( spl13_379
<=> ! [X0,X1] : k5_relat_1(sK8(X0,X1),sK2) = k7_relset_1(X0,X1,sK11,sK1,sK8(X0,X1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_379])]) ).
fof(f2504,plain,
( spl13_250
<=> ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK8(X0,X1),sK2) = k5_relat_1(sK8(X0,X1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_250])]) ).
fof(f2507,plain,
( ! [X0,X1] : k5_relat_1(sK8(X0,X1),sK2) = k7_relset_1(X0,X1,sK11,sK1,sK8(X0,X1),sK2)
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242
| ~ spl13_250 ),
inference(forward_demodulation,[],[f2505,f2485]) ).
fof(f2505,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK8(X0,X1),sK2) = k5_relat_1(sK8(X0,X1),sK2)
| ~ spl13_250 ),
inference(avatar_component_clause,[],[f2504]) ).
fof(f4020,plain,
( spl13_378
| ~ spl13_30
| ~ spl13_240 ),
inference(avatar_split_clause,[],[f2644,f2379,f318,f4018]) ).
fof(f318,plain,
( spl13_30
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f2644,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ r2_hidden(k2_zfmisc_1(sK0,sK1),X0) )
| ~ spl13_30
| ~ spl13_240 ),
inference(resolution,[],[f2380,f319]) ).
fof(f319,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f4016,plain,
( spl13_377
| ~ spl13_2
| ~ spl13_35
| ~ spl13_150 ),
inference(avatar_split_clause,[],[f1330,f1288,f338,f191,f4014]) ).
fof(f4014,plain,
( spl13_377
<=> ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK11)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_377])]) ).
fof(f1330,plain,
( ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,sK11)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_150 ),
inference(forward_demodulation,[],[f1326,f340]) ).
fof(f1326,plain,
( ! [X2,X0,X1] :
( k5_relat_1(X0,X1) = k5_relat_1(X2,k1_xboole_0)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X0) )
| ~ spl13_2
| ~ spl13_150 ),
inference(resolution,[],[f1289,f193]) ).
fof(f4012,plain,
( spl13_376
| ~ spl13_39
| ~ spl13_126 ),
inference(avatar_split_clause,[],[f1073,f1069,f359,f4010]) ).
fof(f4010,plain,
( spl13_376
<=> ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(k2_zfmisc_1(X1,X1))
| r2_hidden(X0,k2_zfmisc_1(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_376])]) ).
fof(f359,plain,
( spl13_39
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f1069,plain,
( spl13_126
<=> ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| m1_subset_1(X0,k2_zfmisc_1(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).
fof(f1073,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| v1_xboole_0(k2_zfmisc_1(X1,X1))
| r2_hidden(X0,k2_zfmisc_1(X1,X1)) )
| ~ spl13_39
| ~ spl13_126 ),
inference(resolution,[],[f1070,f360]) ).
fof(f360,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f1070,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,sK6(X1)) )
| ~ spl13_126 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f4008,plain,
( spl13_375
| ~ spl13_39
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1072,f1065,f359,f4006]) ).
fof(f4006,plain,
( spl13_375
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k6_relat_1(X1))
| v1_xboole_0(k2_zfmisc_1(X1,X1))
| r2_hidden(X0,k2_zfmisc_1(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_375])]) ).
fof(f1065,plain,
( spl13_125
<=> ! [X0,X1] :
( ~ r2_hidden(X0,k6_relat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).
fof(f1072,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k6_relat_1(X1))
| v1_xboole_0(k2_zfmisc_1(X1,X1))
| r2_hidden(X0,k2_zfmisc_1(X1,X1)) )
| ~ spl13_39
| ~ spl13_125 ),
inference(resolution,[],[f1066,f360]) ).
fof(f1066,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X1))
| ~ r2_hidden(X0,k6_relat_1(X1)) )
| ~ spl13_125 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f4004,plain,
( spl13_374
| ~ spl13_89
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f982,f972,f695,f4002]) ).
fof(f4002,plain,
( spl13_374
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| sK4(k1_zfmisc_1(X0)) = k5_relat_1(X2,X1)
| ~ v1_relat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_374])]) ).
fof(f982,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| sK4(k1_zfmisc_1(X0)) = k5_relat_1(X2,X1)
| ~ v1_relat_1(X2) )
| ~ spl13_89
| ~ spl13_120 ),
inference(resolution,[],[f973,f696]) ).
fof(f4000,plain,
( spl13_373
| ~ spl13_88
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f981,f972,f691,f3998]) ).
fof(f3998,plain,
( spl13_373
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| sK4(k1_zfmisc_1(X0)) = k5_relat_1(X1,X2)
| ~ v1_relat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_373])]) ).
fof(f981,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| sK4(k1_zfmisc_1(X0)) = k5_relat_1(X1,X2)
| ~ v1_relat_1(X2) )
| ~ spl13_88
| ~ spl13_120 ),
inference(resolution,[],[f973,f692]) ).
fof(f3924,plain,
( spl13_372
| ~ spl13_68
| ~ spl13_134 ),
inference(avatar_split_clause,[],[f1152,f1104,f554,f3922]) ).
fof(f3922,plain,
( spl13_372
<=> ! [X0,X1] :
( m1_subset_1(sK4(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_372])]) ).
fof(f1104,plain,
( spl13_134
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).
fof(f1152,plain,
( ! [X0,X1] :
( m1_subset_1(sK4(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl13_68
| ~ spl13_134 ),
inference(resolution,[],[f1105,f555]) ).
fof(f1105,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_134 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f3920,plain,
( spl13_371
| ~ spl13_68
| ~ spl13_133 ),
inference(avatar_split_clause,[],[f1151,f1100,f554,f3918]) ).
fof(f3918,plain,
( spl13_371
<=> ! [X0,X1] :
( m1_subset_1(sK4(sK8(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_371])]) ).
fof(f1100,plain,
( spl13_133
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).
fof(f1151,plain,
( ! [X0,X1] :
( m1_subset_1(sK4(sK8(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK8(X0,X1)) )
| ~ spl13_68
| ~ spl13_133 ),
inference(resolution,[],[f1101,f555]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_133 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f3916,plain,
( spl13_370
| ~ spl13_68
| ~ spl13_132 ),
inference(avatar_split_clause,[],[f1150,f1096,f554,f3914]) ).
fof(f3914,plain,
( spl13_370
<=> ! [X0,X1] :
( m1_subset_1(sK4(sK7(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK7(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_370])]) ).
fof(f1096,plain,
( spl13_132
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK7(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).
fof(f1150,plain,
( ! [X0,X1] :
( m1_subset_1(sK4(sK7(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK7(X0,X1)) )
| ~ spl13_68
| ~ spl13_132 ),
inference(resolution,[],[f1097,f555]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK7(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_132 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f3912,plain,
( spl13_369
| ~ spl13_39
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1118,f1075,f359,f3910]) ).
fof(f3910,plain,
( spl13_369
<=> ! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK4(sK4(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_369])]) ).
fof(f1118,plain,
( ! [X0] :
( v1_xboole_0(sK4(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK4(sK4(k1_zfmisc_1(X0))),X0) )
| ~ spl13_39
| ~ spl13_127 ),
inference(resolution,[],[f1076,f360]) ).
fof(f3908,plain,
( spl13_368
| ~ spl13_82
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1052,f1021,f644,f3906]) ).
fof(f644,plain,
( spl13_82
<=> ! [X0,X1] :
( v1_relat_1(sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).
fof(f1052,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_82
| ~ spl13_124 ),
inference(resolution,[],[f1022,f645]) ).
fof(f645,plain,
( ! [X0,X1] :
( v1_relat_1(sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_82 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f3904,plain,
( spl13_367
| ~ spl13_82
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1032,f1017,f644,f3902]) ).
fof(f1032,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(sK11,sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_82
| ~ spl13_123 ),
inference(resolution,[],[f1018,f645]) ).
fof(f3788,plain,
( ~ spl13_366
| ~ spl13_74
| spl13_350
| ~ spl13_43
| ~ spl13_286 ),
inference(avatar_split_clause,[],[f3031,f2838,f377,f3482,f604,f3785]) ).
fof(f3482,plain,
( spl13_350
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_350])]) ).
fof(f3031,plain,
( v1_xboole_0(sK2)
| ~ v1_relat_1(sK2)
| ~ v1_xboole_0(k6_relat_1(sK1))
| ~ spl13_43
| ~ spl13_286 ),
inference(superposition,[],[f378,f2840]) ).
fof(f3603,plain,
( spl13_365
| ~ spl13_2
| ~ spl13_35
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1216,f1183,f338,f191,f3601]) ).
fof(f3601,plain,
( spl13_365
<=> ! [X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(sK11,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_365])]) ).
fof(f1216,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(sK11,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_143 ),
inference(forward_demodulation,[],[f1212,f340]) ).
fof(f1212,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(k1_xboole_0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_2
| ~ spl13_143 ),
inference(resolution,[],[f1184,f193]) ).
fof(f3599,plain,
( spl13_364
| ~ spl13_2
| ~ spl13_35
| ~ spl13_142 ),
inference(avatar_split_clause,[],[f1208,f1174,f338,f191,f3597]) ).
fof(f3597,plain,
( spl13_364
<=> ! [X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,sK11))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_364])]) ).
fof(f1208,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,sK11))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_142 ),
inference(forward_demodulation,[],[f1204,f340]) ).
fof(f1204,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(X0,k5_relat_1(X1,k1_xboole_0))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_2
| ~ spl13_142 ),
inference(resolution,[],[f1175,f193]) ).
fof(f3595,plain,
( spl13_363
| ~ spl13_2
| ~ spl13_35
| ~ spl13_141 ),
inference(avatar_split_clause,[],[f1200,f1170,f338,f191,f3593]) ).
fof(f1200,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(sK11,X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_141 ),
inference(forward_demodulation,[],[f1196,f340]) ).
fof(f1196,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(k1_xboole_0,X0),X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) )
| ~ spl13_2
| ~ spl13_141 ),
inference(resolution,[],[f1171,f193]) ).
fof(f3591,plain,
( spl13_362
| ~ spl13_2
| ~ spl13_35
| ~ spl13_140 ),
inference(avatar_split_clause,[],[f1192,f1166,f338,f191,f3589]) ).
fof(f1192,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,sK11),X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_140 ),
inference(forward_demodulation,[],[f1188,f340]) ).
fof(f1188,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,k1_xboole_0),X1)
| ~ v1_relat_1(X0)
| ~ v1_relat_1(X1) )
| ~ spl13_2
| ~ spl13_140 ),
inference(resolution,[],[f1167,f193]) ).
fof(f3587,plain,
( spl13_361
| ~ spl13_42
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1047,f1021,f373,f3585]) ).
fof(f3585,plain,
( spl13_361
<=> ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,X1),sK11)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_361])]) ).
fof(f373,plain,
( spl13_42
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f1047,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,X1),sK11)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) )
| ~ spl13_42
| ~ spl13_124 ),
inference(resolution,[],[f1022,f374]) ).
fof(f374,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) )
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f3583,plain,
( spl13_360
| ~ spl13_44
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1046,f1021,f381,f3581]) ).
fof(f3581,plain,
( spl13_360
<=> ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,X1),sK11)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_360])]) ).
fof(f381,plain,
( spl13_44
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f1046,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,X1),sK11)
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) )
| ~ spl13_44
| ~ spl13_124 ),
inference(resolution,[],[f1022,f382]) ).
fof(f382,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) )
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f3579,plain,
( spl13_359
| ~ spl13_45
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1045,f1021,f385,f3577]) ).
fof(f385,plain,
( spl13_45
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f1045,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(k5_relat_1(X0,X1),sK11)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_45
| ~ spl13_124 ),
inference(resolution,[],[f1022,f386]) ).
fof(f386,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f3575,plain,
( spl13_358
| ~ spl13_42
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1027,f1017,f373,f3573]) ).
fof(f3573,plain,
( spl13_358
<=> ! [X0,X1] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_358])]) ).
fof(f1027,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) )
| ~ spl13_42
| ~ spl13_123 ),
inference(resolution,[],[f1018,f374]) ).
fof(f3571,plain,
( spl13_357
| ~ spl13_44
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1026,f1017,f381,f3569]) ).
fof(f3569,plain,
( spl13_357
<=> ! [X0,X1] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_357])]) ).
fof(f1026,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,X1))
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) )
| ~ spl13_44
| ~ spl13_123 ),
inference(resolution,[],[f1018,f382]) ).
fof(f3567,plain,
( spl13_356
| ~ spl13_45
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1025,f1017,f385,f3565]) ).
fof(f1025,plain,
( ! [X0,X1] :
( sK11 = k5_relat_1(sK11,k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) )
| ~ spl13_45
| ~ spl13_123 ),
inference(resolution,[],[f1018,f386]) ).
fof(f3563,plain,
( spl13_355
| ~ spl13_81
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f980,f972,f640,f3561]) ).
fof(f3561,plain,
( spl13_355
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| sK11 = k5_relat_1(X1,sK4(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_355])]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| sK11 = k5_relat_1(X1,sK4(k1_zfmisc_1(X0))) )
| ~ spl13_81
| ~ spl13_120 ),
inference(resolution,[],[f973,f641]) ).
fof(f3559,plain,
( spl13_354
| ~ spl13_80
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f979,f972,f636,f3557]) ).
fof(f3557,plain,
( spl13_354
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| sK11 = k5_relat_1(sK4(k1_zfmisc_1(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_354])]) ).
fof(f979,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ v1_relat_1(X1)
| sK11 = k5_relat_1(sK4(k1_zfmisc_1(X0)),X1) )
| ~ spl13_80
| ~ spl13_120 ),
inference(resolution,[],[f973,f637]) ).
fof(f3537,plain,
( spl13_353
| ~ spl13_103
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1004,f989,f827,f3535]) ).
fof(f3535,plain,
( spl13_353
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)),k6_relat_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_353])]) ).
fof(f989,plain,
( spl13_122
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X1,X2,sK2,X0) = k7_relset_1(sK0,X2,X2,X2,k7_relset_1(sK0,sK1,X1,X2,sK2,X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).
fof(f1004,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)),k6_relat_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) )
| ~ spl13_103
| ~ spl13_122 ),
inference(resolution,[],[f990,f828]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X1,X2,sK2,X0) = k7_relset_1(sK0,X2,X2,X2,k7_relset_1(sK0,sK1,X1,X2,sK2,X0),k6_relat_1(X2)) )
| ~ spl13_122 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f3533,plain,
( spl13_352
| ~ spl13_103
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f992,f985,f827,f3531]) ).
fof(f3531,plain,
( spl13_352
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_352])]) ).
fof(f985,plain,
( spl13_121
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X1,X2,sK2,X0) = k7_relset_1(sK0,sK0,sK0,X2,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X1,X2,sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).
fof(f992,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,k9_relset_2(X0,X2,X1,X3,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) )
| ~ spl13_103
| ~ spl13_121 ),
inference(resolution,[],[f986,f828]) ).
fof(f986,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X1,X2,sK2,X0) = k7_relset_1(sK0,sK0,sK0,X2,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X1,X2,sK2,X0)) )
| ~ spl13_121 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f3489,plain,
( spl13_351
| ~ spl13_52
| ~ spl13_236 ),
inference(avatar_split_clause,[],[f2346,f2327,f441,f3487]) ).
fof(f3487,plain,
( spl13_351
<=> ! [X3,X4,X0,X5,X2,X1] :
( k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5),k6_relat_1(X2))
| ~ m1_relset_1(X4,X0,X3)
| ~ m1_relset_1(X5,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_351])]) ).
fof(f441,plain,
( spl13_52
<=> m1_relset_1(sK2,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).
fof(f2327,plain,
( spl13_236
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0),k6_relat_1(X2))
| ~ m1_relset_1(X7,X3,X5)
| ~ m1_relset_1(X8,X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_236])]) ).
fof(f2346,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5) = k7_relset_1(X0,X2,X2,X2,k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5),k6_relat_1(X2))
| ~ m1_relset_1(X4,X0,X3)
| ~ m1_relset_1(X5,X1,X2) )
| ~ spl13_52
| ~ spl13_236 ),
inference(resolution,[],[f2328,f443]) ).
fof(f443,plain,
( m1_relset_1(sK2,sK0,sK1)
| ~ spl13_52 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f2328,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X8,X6,X4)
| k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0),k6_relat_1(X2))
| ~ m1_relset_1(X7,X3,X5)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl13_236 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f3485,plain,
( ~ spl13_349
| ~ spl13_74
| spl13_350
| ~ spl13_41
| ~ spl13_281 ),
inference(avatar_split_clause,[],[f2985,f2767,f367,f3482,f604,f3478]) ).
fof(f3478,plain,
( spl13_349
<=> v1_xboole_0(k6_relat_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_349])]) ).
fof(f2767,plain,
( spl13_281
<=> sK2 = k5_relat_1(k6_relat_1(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_281])]) ).
fof(f2985,plain,
( v1_xboole_0(sK2)
| ~ v1_relat_1(sK2)
| ~ v1_xboole_0(k6_relat_1(sK0))
| ~ spl13_41
| ~ spl13_281 ),
inference(superposition,[],[f368,f2769]) ).
fof(f2769,plain,
( sK2 = k5_relat_1(k6_relat_1(sK0),sK2)
| ~ spl13_281 ),
inference(avatar_component_clause,[],[f2767]) ).
fof(f3476,plain,
( spl13_348
| ~ spl13_52
| ~ spl13_235 ),
inference(avatar_split_clause,[],[f2337,f2319,f441,f3474]) ).
fof(f3474,plain,
( spl13_348
<=> ! [X2,X4,X0,X5,X3,X1] :
( k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5))
| ~ m1_relset_1(X4,X0,X3)
| ~ m1_relset_1(X5,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_348])]) ).
fof(f2319,plain,
( spl13_235
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0))
| ~ m1_relset_1(X7,X3,X5)
| ~ m1_relset_1(X8,X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_235])]) ).
fof(f2337,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k7_relset_1(X0,sK1,X1,X2,k7_relset_1(X0,X3,sK0,sK1,X4,sK2),X5))
| ~ m1_relset_1(X4,X0,X3)
| ~ m1_relset_1(X5,X1,X2) )
| ~ spl13_52
| ~ spl13_235 ),
inference(resolution,[],[f2320,f443]) ).
fof(f2320,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X8,X6,X4)
| k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0))
| ~ m1_relset_1(X7,X3,X5)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl13_235 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f3472,plain,
( spl13_347
| ~ spl13_99
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1006,f989,f778,f3470]) ).
fof(f3470,plain,
( spl13_347
<=> ! [X2,X3,X4,X0,X5,X1] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)),k6_relat_1(X1))
| ~ m1_relset_1(X4,X0,X2)
| ~ m1_relset_1(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_347])]) ).
fof(f1006,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)),k6_relat_1(X1))
| ~ m1_relset_1(X4,X0,X2)
| ~ m1_relset_1(X5,X3,X1) )
| ~ spl13_99
| ~ spl13_122 ),
inference(resolution,[],[f990,f779]) ).
fof(f3468,plain,
( spl13_346
| ~ spl13_99
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f994,f985,f778,f3466]) ).
fof(f3466,plain,
( spl13_346
<=> ! [X2,X3,X4,X0,X5,X1] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)))
| ~ m1_relset_1(X4,X0,X2)
| ~ m1_relset_1(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_346])]) ).
fof(f994,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,k7_relset_1(X0,X2,X3,X1,X4,X5)))
| ~ m1_relset_1(X4,X0,X2)
| ~ m1_relset_1(X5,X3,X1) )
| ~ spl13_99
| ~ spl13_121 ),
inference(resolution,[],[f986,f779]) ).
fof(f3383,plain,
( spl13_345
| ~ spl13_20
| ~ spl13_174
| ~ spl13_202 ),
inference(avatar_split_clause,[],[f1808,f1777,f1492,f271,f3381]) ).
fof(f3381,plain,
( spl13_345
<=> ! [X2,X0] : sK11 = k7_relset_1(X0,X2,X2,X2,sK11,k6_relat_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_345])]) ).
fof(f1492,plain,
( spl13_174
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_174])]) ).
fof(f1808,plain,
( ! [X2,X0] : sK11 = k7_relset_1(X0,X2,X2,X2,sK11,k6_relat_1(X2))
| ~ spl13_20
| ~ spl13_174
| ~ spl13_202 ),
inference(forward_demodulation,[],[f1803,f1493]) ).
fof(f1493,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_174 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1803,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X2,X2,X2,k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))),k6_relat_1(X2))
| ~ spl13_20
| ~ spl13_202 ),
inference(resolution,[],[f1778,f272]) ).
fof(f3379,plain,
( spl13_344
| ~ spl13_20
| ~ spl13_174
| ~ spl13_201 ),
inference(avatar_split_clause,[],[f1792,f1773,f1492,f271,f3377]) ).
fof(f3377,plain,
( spl13_344
<=> ! [X2,X0] : sK11 = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_344])]) ).
fof(f1792,plain,
( ! [X2,X0] : sK11 = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),sK11)
| ~ spl13_20
| ~ spl13_174
| ~ spl13_201 ),
inference(forward_demodulation,[],[f1787,f1493]) ).
fof(f1787,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k7_relset_1(X0,X0,X0,X2,k6_relat_1(X0),k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ spl13_20
| ~ spl13_201 ),
inference(resolution,[],[f1774,f272]) ).
fof(f3375,plain,
( spl13_343
| ~ spl13_146
| ~ spl13_167 ),
inference(avatar_split_clause,[],[f1458,f1425,f1227,f3373]) ).
fof(f3373,plain,
( spl13_343
<=> ! [X0,X1] : sK9(X0,X1) = k5_relat_1(k6_relat_1(X0),sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_343])]) ).
fof(f1227,plain,
( spl13_146
<=> ! [X0,X1] : sK9(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_146])]) ).
fof(f1458,plain,
( ! [X0,X1] : sK9(X0,X1) = k5_relat_1(k6_relat_1(X0),sK9(X0,X1))
| ~ spl13_146
| ~ spl13_167 ),
inference(superposition,[],[f1426,f1228]) ).
fof(f1228,plain,
( ! [X0,X1] : sK9(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK9(X0,X1))
| ~ spl13_146 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f3371,plain,
( spl13_342
| ~ spl13_144
| ~ spl13_164 ),
inference(avatar_split_clause,[],[f1450,f1412,f1219,f3369]) ).
fof(f3369,plain,
( spl13_342
<=> ! [X0,X1] : sK7(X0,X1) = k5_relat_1(k6_relat_1(X0),sK7(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_342])]) ).
fof(f1219,plain,
( spl13_144
<=> ! [X0,X1] : sK7(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK7(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_144])]) ).
fof(f1450,plain,
( ! [X0,X1] : sK7(X0,X1) = k5_relat_1(k6_relat_1(X0),sK7(X0,X1))
| ~ spl13_144
| ~ spl13_164 ),
inference(superposition,[],[f1413,f1220]) ).
fof(f1220,plain,
( ! [X0,X1] : sK7(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK7(X0,X1))
| ~ spl13_144 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f3331,plain,
( spl13_341
| ~ spl13_17
| ~ spl13_21
| ~ spl13_123
| ~ spl13_158 ),
inference(avatar_split_clause,[],[f1369,f1321,f1017,f275,f258,f3329]) ).
fof(f3329,plain,
( spl13_341
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,k2_zfmisc_1(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_341])]) ).
fof(f1321,plain,
( spl13_158
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k5_relat_1(sK11,X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_158])]) ).
fof(f1369,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,k2_zfmisc_1(X1,X2))
| ~ spl13_17
| ~ spl13_21
| ~ spl13_123
| ~ spl13_158 ),
inference(forward_demodulation,[],[f1368,f1024]) ).
fof(f1024,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,k2_zfmisc_1(X0,X1))
| ~ spl13_21
| ~ spl13_123 ),
inference(resolution,[],[f1018,f276]) ).
fof(f1368,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,k2_zfmisc_1(X1,X2)) = k5_relat_1(sK11,k2_zfmisc_1(X1,X2))
| ~ spl13_17
| ~ spl13_158 ),
inference(resolution,[],[f1322,f259]) ).
fof(f1322,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X1,X2))
| k9_relset_2(X0,X1,X2,sK11,X3) = k5_relat_1(sK11,X3) )
| ~ spl13_158 ),
inference(avatar_component_clause,[],[f1321]) ).
fof(f3327,plain,
( spl13_340
| ~ spl13_17
| ~ spl13_21
| ~ spl13_124
| ~ spl13_155 ),
inference(avatar_split_clause,[],[f1351,f1309,f1021,f275,f258,f3325]) ).
fof(f3325,plain,
( spl13_340
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,k2_zfmisc_1(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_340])]) ).
fof(f1309,plain,
( spl13_155
<=> ! [X0,X3,X2,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_155])]) ).
fof(f1351,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,k2_zfmisc_1(X0,X1),sK11)
| ~ spl13_17
| ~ spl13_21
| ~ spl13_124
| ~ spl13_155 ),
inference(forward_demodulation,[],[f1350,f1044]) ).
fof(f1044,plain,
( ! [X0,X1] : sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),sK11)
| ~ spl13_21
| ~ spl13_124 ),
inference(resolution,[],[f1022,f276]) ).
fof(f1350,plain,
( ! [X2,X0,X1] : k5_relat_1(k2_zfmisc_1(X0,X1),sK11) = k9_relset_2(X0,X1,X2,k2_zfmisc_1(X0,X1),sK11)
| ~ spl13_17
| ~ spl13_155 ),
inference(resolution,[],[f1310,f259]) ).
fof(f1310,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11) )
| ~ spl13_155 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f3323,plain,
( spl13_339
| ~ spl13_22
| ~ spl13_72
| ~ spl13_123
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1286,f1244,f1017,f575,f279,f3321]) ).
fof(f3321,plain,
( spl13_339
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK9(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_339])]) ).
fof(f1286,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK9(X1,X2))
| ~ spl13_22
| ~ spl13_72
| ~ spl13_123
| ~ spl13_149 ),
inference(forward_demodulation,[],[f1279,f1038]) ).
fof(f1038,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,sK9(X0,X1))
| ~ spl13_22
| ~ spl13_123 ),
inference(resolution,[],[f1018,f280]) ).
fof(f1279,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK9(X1,X2)) = k5_relat_1(sK11,sK9(X1,X2))
| ~ spl13_72
| ~ spl13_149 ),
inference(resolution,[],[f1245,f576]) ).
fof(f3319,plain,
( spl13_338
| ~ spl13_33
| ~ spl13_117
| ~ spl13_123
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1285,f1244,f1017,f947,f330,f3317]) ).
fof(f3317,plain,
( spl13_338
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK8(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_338])]) ).
fof(f1285,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK8(X1,X2))
| ~ spl13_33
| ~ spl13_117
| ~ spl13_123
| ~ spl13_149 ),
inference(forward_demodulation,[],[f1278,f1037]) ).
fof(f1037,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,sK8(X0,X1))
| ~ spl13_117
| ~ spl13_123 ),
inference(resolution,[],[f1018,f948]) ).
fof(f1278,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK8(X1,X2)) = k5_relat_1(sK11,sK8(X1,X2))
| ~ spl13_33
| ~ spl13_149 ),
inference(resolution,[],[f1245,f331]) ).
fof(f3315,plain,
( spl13_337
| ~ spl13_71
| ~ spl13_116
| ~ spl13_123
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1284,f1244,f1017,f943,f571,f3313]) ).
fof(f3313,plain,
( spl13_337
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK7(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_337])]) ).
fof(f1284,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK7(X1,X2))
| ~ spl13_71
| ~ spl13_116
| ~ spl13_123
| ~ spl13_149 ),
inference(forward_demodulation,[],[f1277,f1036]) ).
fof(f1036,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,sK7(X0,X1))
| ~ spl13_116
| ~ spl13_123 ),
inference(resolution,[],[f1018,f944]) ).
fof(f1277,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK7(X1,X2)) = k5_relat_1(sK11,sK7(X1,X2))
| ~ spl13_71
| ~ spl13_149 ),
inference(resolution,[],[f1245,f572]) ).
fof(f3311,plain,
( spl13_336
| ~ spl13_22
| ~ spl13_72
| ~ spl13_124
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1270,f1235,f1021,f575,f279,f3309]) ).
fof(f3309,plain,
( spl13_336
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK9(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_336])]) ).
fof(f1270,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK9(X0,X1),sK11)
| ~ spl13_22
| ~ spl13_72
| ~ spl13_124
| ~ spl13_148 ),
inference(forward_demodulation,[],[f1263,f1058]) ).
fof(f1058,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK9(X0,X1),sK11)
| ~ spl13_22
| ~ spl13_124 ),
inference(resolution,[],[f1022,f280]) ).
fof(f1263,plain,
( ! [X2,X0,X1] : k5_relat_1(sK9(X0,X1),sK11) = k9_relset_2(X0,X1,X2,sK9(X0,X1),sK11)
| ~ spl13_72
| ~ spl13_148 ),
inference(resolution,[],[f1236,f576]) ).
fof(f3307,plain,
( spl13_335
| ~ spl13_33
| ~ spl13_117
| ~ spl13_124
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1269,f1235,f1021,f947,f330,f3305]) ).
fof(f3305,plain,
( spl13_335
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK8(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_335])]) ).
fof(f1269,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK8(X0,X1),sK11)
| ~ spl13_33
| ~ spl13_117
| ~ spl13_124
| ~ spl13_148 ),
inference(forward_demodulation,[],[f1262,f1057]) ).
fof(f1057,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK8(X0,X1),sK11)
| ~ spl13_117
| ~ spl13_124 ),
inference(resolution,[],[f1022,f948]) ).
fof(f1262,plain,
( ! [X2,X0,X1] : k5_relat_1(sK8(X0,X1),sK11) = k9_relset_2(X0,X1,X2,sK8(X0,X1),sK11)
| ~ spl13_33
| ~ spl13_148 ),
inference(resolution,[],[f1236,f331]) ).
fof(f3303,plain,
( spl13_334
| ~ spl13_71
| ~ spl13_116
| ~ spl13_124
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1268,f1235,f1021,f943,f571,f3301]) ).
fof(f3301,plain,
( spl13_334
<=> ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK7(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_334])]) ).
fof(f1268,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK7(X0,X1),sK11)
| ~ spl13_71
| ~ spl13_116
| ~ spl13_124
| ~ spl13_148 ),
inference(forward_demodulation,[],[f1261,f1056]) ).
fof(f1056,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK7(X0,X1),sK11)
| ~ spl13_116
| ~ spl13_124 ),
inference(resolution,[],[f1022,f944]) ).
fof(f1261,plain,
( ! [X2,X0,X1] : k5_relat_1(sK7(X0,X1),sK11) = k9_relset_2(X0,X1,X2,sK7(X0,X1),sK11)
| ~ spl13_71
| ~ spl13_148 ),
inference(resolution,[],[f1236,f572]) ).
fof(f3299,plain,
( spl13_333
| ~ spl13_39
| ~ spl13_128 ),
inference(avatar_split_clause,[],[f1142,f1079,f359,f3297]) ).
fof(f3297,plain,
( spl13_333
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK3(X0))
| r2_hidden(sK4(sK3(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_333])]) ).
fof(f1142,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK3(X0))
| r2_hidden(sK4(sK3(X0)),X0) )
| ~ spl13_39
| ~ spl13_128 ),
inference(duplicate_literal_removal,[],[f1130]) ).
fof(f1130,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK3(X0))
| v1_xboole_0(X0)
| r2_hidden(sK4(sK3(X0)),X0) )
| ~ spl13_39
| ~ spl13_128 ),
inference(resolution,[],[f1080,f360]) ).
fof(f3291,plain,
( spl13_332
| ~ spl13_27
| ~ spl13_254 ),
inference(avatar_split_clause,[],[f2546,f2543,f302,f3289]) ).
fof(f3289,plain,
( spl13_332
<=> ! [X0] : m2_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_332])]) ).
fof(f2543,plain,
( spl13_254
<=> ! [X0] :
( m2_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_254])]) ).
fof(f2546,plain,
( ! [X0] : m2_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0)
| ~ spl13_27
| ~ spl13_254 ),
inference(resolution,[],[f2544,f303]) ).
fof(f2544,plain,
( ! [X0] :
( ~ m1_relset_1(sK6(X0),X0,X0)
| m2_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0) )
| ~ spl13_254 ),
inference(avatar_component_clause,[],[f2543]) ).
fof(f3249,plain,
( spl13_331
| ~ spl13_14
| ~ spl13_65
| ~ spl13_123
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1283,f1244,f1017,f533,f246,f3247]) ).
fof(f3247,plain,
( spl13_331
<=> ! [X0,X1] : sK11 = k9_relset_2(X0,X1,X1,sK11,sK6(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_331])]) ).
fof(f1283,plain,
( ! [X0,X1] : sK11 = k9_relset_2(X0,X1,X1,sK11,sK6(X1))
| ~ spl13_14
| ~ spl13_65
| ~ spl13_123
| ~ spl13_149 ),
inference(forward_demodulation,[],[f1276,f1035]) ).
fof(f1035,plain,
( ! [X0] : sK11 = k5_relat_1(sK11,sK6(X0))
| ~ spl13_14
| ~ spl13_123 ),
inference(resolution,[],[f1018,f247]) ).
fof(f1276,plain,
( ! [X0,X1] : k9_relset_2(X0,X1,X1,sK11,sK6(X1)) = k5_relat_1(sK11,sK6(X1))
| ~ spl13_65
| ~ spl13_149 ),
inference(resolution,[],[f1245,f534]) ).
fof(f3245,plain,
( spl13_330
| ~ spl13_10
| ~ spl13_29
| ~ spl13_123
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1281,f1244,f1017,f310,f230,f3243]) ).
fof(f3243,plain,
( spl13_330
<=> ! [X0,X1] : sK11 = k9_relset_2(X0,X1,X1,sK11,k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_330])]) ).
fof(f1281,plain,
( ! [X0,X1] : sK11 = k9_relset_2(X0,X1,X1,sK11,k6_relat_1(X1))
| ~ spl13_10
| ~ spl13_29
| ~ spl13_123
| ~ spl13_149 ),
inference(forward_demodulation,[],[f1273,f1029]) ).
fof(f1029,plain,
( ! [X0] : sK11 = k5_relat_1(sK11,k6_relat_1(X0))
| ~ spl13_10
| ~ spl13_123 ),
inference(resolution,[],[f1018,f231]) ).
fof(f1273,plain,
( ! [X0,X1] : k9_relset_2(X0,X1,X1,sK11,k6_relat_1(X1)) = k5_relat_1(sK11,k6_relat_1(X1))
| ~ spl13_29
| ~ spl13_149 ),
inference(resolution,[],[f1245,f311]) ).
fof(f3241,plain,
( spl13_329
| ~ spl13_14
| ~ spl13_65
| ~ spl13_124
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1267,f1235,f1021,f533,f246,f3239]) ).
fof(f3239,plain,
( spl13_329
<=> ! [X0,X1] : sK11 = k9_relset_2(X0,X0,X1,sK6(X0),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_329])]) ).
fof(f1267,plain,
( ! [X0,X1] : sK11 = k9_relset_2(X0,X0,X1,sK6(X0),sK11)
| ~ spl13_14
| ~ spl13_65
| ~ spl13_124
| ~ spl13_148 ),
inference(forward_demodulation,[],[f1260,f1055]) ).
fof(f1055,plain,
( ! [X0] : sK11 = k5_relat_1(sK6(X0),sK11)
| ~ spl13_14
| ~ spl13_124 ),
inference(resolution,[],[f1022,f247]) ).
fof(f1260,plain,
( ! [X0,X1] : k5_relat_1(sK6(X0),sK11) = k9_relset_2(X0,X0,X1,sK6(X0),sK11)
| ~ spl13_65
| ~ spl13_148 ),
inference(resolution,[],[f1236,f534]) ).
fof(f3237,plain,
( spl13_328
| ~ spl13_10
| ~ spl13_29
| ~ spl13_124
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1265,f1235,f1021,f310,f230,f3235]) ).
fof(f3235,plain,
( spl13_328
<=> ! [X0,X1] : sK11 = k9_relset_2(X0,X0,X1,k6_relat_1(X0),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_328])]) ).
fof(f1265,plain,
( ! [X0,X1] : sK11 = k9_relset_2(X0,X0,X1,k6_relat_1(X0),sK11)
| ~ spl13_10
| ~ spl13_29
| ~ spl13_124
| ~ spl13_148 ),
inference(forward_demodulation,[],[f1257,f1049]) ).
fof(f1049,plain,
( ! [X0] : sK11 = k5_relat_1(k6_relat_1(X0),sK11)
| ~ spl13_10
| ~ spl13_124 ),
inference(resolution,[],[f1022,f231]) ).
fof(f1257,plain,
( ! [X0,X1] : k5_relat_1(k6_relat_1(X0),sK11) = k9_relset_2(X0,X0,X1,k6_relat_1(X0),sK11)
| ~ spl13_29
| ~ spl13_148 ),
inference(resolution,[],[f1236,f311]) ).
fof(f3233,plain,
( spl13_327
| ~ spl13_27
| ~ spl13_253 ),
inference(avatar_split_clause,[],[f2541,f2538,f302,f3231]) ).
fof(f3231,plain,
( spl13_327
<=> ! [X0] : m1_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_327])]) ).
fof(f2538,plain,
( spl13_253
<=> ! [X0] :
( m1_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0)
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_253])]) ).
fof(f2541,plain,
( ! [X0] : m1_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0)
| ~ spl13_27
| ~ spl13_253 ),
inference(resolution,[],[f2539,f303]) ).
fof(f2539,plain,
( ! [X0] :
( ~ m1_relset_1(sK6(X0),X0,X0)
| m1_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0) )
| ~ spl13_253 ),
inference(avatar_component_clause,[],[f2538]) ).
fof(f3229,plain,
( spl13_326
| ~ spl13_69
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1053,f1021,f558,f3227]) ).
fof(f3227,plain,
( spl13_326
<=> ! [X0,X1] : sK11 = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_326])]) ).
fof(f558,plain,
( spl13_69
<=> ! [X0,X1] : v1_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f1053,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11)
| ~ spl13_69
| ~ spl13_124 ),
inference(resolution,[],[f1022,f559]) ).
fof(f559,plain,
( ! [X0,X1] : v1_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl13_69 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f3225,plain,
( spl13_325
| ~ spl13_69
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1033,f1017,f558,f3223]) ).
fof(f3223,plain,
( spl13_325
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_325])]) ).
fof(f1033,plain,
( ! [X0,X1] : sK11 = k5_relat_1(sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl13_69
| ~ spl13_123 ),
inference(resolution,[],[f1018,f559]) ).
fof(f3221,plain,
( spl13_324
| ~ spl13_38
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f977,f972,f351,f3219]) ).
fof(f3219,plain,
( spl13_324
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_324])]) ).
fof(f977,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK4(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl13_38
| ~ spl13_120 ),
inference(resolution,[],[f973,f352]) ).
fof(f3208,plain,
( spl13_323
| ~ spl13_62
| ~ spl13_103 ),
inference(avatar_split_clause,[],[f837,f827,f521,f3206]) ).
fof(f3206,plain,
( spl13_323
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,sK0,sK1,k9_relset_2(X1,X2,X4,X0,X3),sK2) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_323])]) ).
fof(f521,plain,
( spl13_62
<=> ! [X2,X0,X1] :
( k7_relset_1(X0,X1,sK0,sK1,X2,sK2) = k5_relat_1(X2,sK2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f837,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,sK0,sK1,k9_relset_2(X1,X2,X4,X0,X3),sK2) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK2) )
| ~ spl13_62
| ~ spl13_103 ),
inference(resolution,[],[f828,f522]) ).
fof(f522,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,sK0,sK1,X2,sK2) = k5_relat_1(X2,sK2) )
| ~ spl13_62 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f3199,plain,
( spl13_322
| ~ spl13_138
| ~ spl13_156 ),
inference(avatar_split_clause,[],[f1362,f1313,f1154,f3197]) ).
fof(f3197,plain,
( spl13_322
<=> ! [X0] : sK6(X0) = k5_relat_1(k6_relat_1(X0),sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_322])]) ).
fof(f1154,plain,
( spl13_138
<=> ! [X0] : sK6(X0) = k7_relset_1(X0,X0,X0,X0,k6_relat_1(X0),sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_138])]) ).
fof(f1362,plain,
( ! [X0] : sK6(X0) = k5_relat_1(k6_relat_1(X0),sK6(X0))
| ~ spl13_138
| ~ spl13_156 ),
inference(superposition,[],[f1314,f1155]) ).
fof(f1155,plain,
( ! [X0] : sK6(X0) = k7_relset_1(X0,X0,X0,X0,k6_relat_1(X0),sK6(X0))
| ~ spl13_138 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f3143,plain,
( spl13_321
| ~ spl13_52
| ~ spl13_228 ),
inference(avatar_split_clause,[],[f2238,f2206,f441,f3141]) ).
fof(f3141,plain,
( spl13_321
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,sK1,X3,X4,k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK9(X3,X4)) = k5_relat_1(k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK9(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_321])]) ).
fof(f2238,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,sK1,X3,X4,k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK9(X3,X4)) = k5_relat_1(k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK9(X3,X4)) )
| ~ spl13_52
| ~ spl13_228 ),
inference(resolution,[],[f2207,f443]) ).
fof(f3139,plain,
( spl13_320
| ~ spl13_52
| ~ spl13_227 ),
inference(avatar_split_clause,[],[f2229,f2202,f441,f3137]) ).
fof(f3137,plain,
( spl13_320
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,sK1,X3,X4,k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK7(X3,X4)) = k5_relat_1(k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK7(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_320])]) ).
fof(f2229,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,sK1,X3,X4,k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK7(X3,X4)) = k5_relat_1(k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK7(X3,X4)) )
| ~ spl13_52
| ~ spl13_227 ),
inference(resolution,[],[f2203,f443]) ).
fof(f3135,plain,
( spl13_319
| ~ spl13_52
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2220,f2198,f441,f3133]) ).
fof(f3133,plain,
( spl13_319
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X3,X2,sK2,k7_relset_1(X3,X4,X1,X2,X5,X0)) = k5_relat_1(sK2,k7_relset_1(X3,X4,X1,X2,X5,X0))
| ~ m1_relset_1(X5,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_319])]) ).
fof(f2220,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X3,X2,sK2,k7_relset_1(X3,X4,X1,X2,X5,X0)) = k5_relat_1(sK2,k7_relset_1(X3,X4,X1,X2,X5,X0))
| ~ m1_relset_1(X5,X3,X4) )
| ~ spl13_52
| ~ spl13_226 ),
inference(resolution,[],[f2199,f443]) ).
fof(f3131,plain,
( spl13_318
| ~ spl13_62
| ~ spl13_99 ),
inference(avatar_split_clause,[],[f782,f778,f521,f3129]) ).
fof(f3129,plain,
( spl13_318
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X1,X5,sK0,sK1,k7_relset_1(X1,X2,X4,X5,X0,X3),sK2) = k5_relat_1(k7_relset_1(X1,X2,X4,X5,X0,X3),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_318])]) ).
fof(f782,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X1,X5,sK0,sK1,k7_relset_1(X1,X2,X4,X5,X0,X3),sK2) = k5_relat_1(k7_relset_1(X1,X2,X4,X5,X0,X3),sK2) )
| ~ spl13_62
| ~ spl13_99 ),
inference(resolution,[],[f779,f522]) ).
fof(f3111,plain,
( spl13_317
| ~ spl13_52
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2162,f2152,f441,f3109]) ).
fof(f3109,plain,
( spl13_317
<=> ! [X0,X3,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,sK1,X3,X3,k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK6(X3)) = k5_relat_1(k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK6(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_317])]) ).
fof(f2162,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X1,sK1,X3,X3,k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK6(X3)) = k5_relat_1(k7_relset_1(X1,X2,sK0,sK1,X0,sK2),sK6(X3)) )
| ~ spl13_52
| ~ spl13_223 ),
inference(resolution,[],[f2153,f443]) ).
fof(f3049,plain,
( spl13_316
| ~ spl13_22
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1058,f1021,f279,f3047]) ).
fof(f3047,plain,
( spl13_316
<=> ! [X0,X1] : sK11 = k5_relat_1(sK9(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_316])]) ).
fof(f3045,plain,
( spl13_315
| ~ spl13_117
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1057,f1021,f947,f3043]) ).
fof(f3043,plain,
( spl13_315
<=> ! [X0,X1] : sK11 = k5_relat_1(sK8(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_315])]) ).
fof(f3041,plain,
( spl13_314
| ~ spl13_116
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1056,f1021,f943,f3039]) ).
fof(f3039,plain,
( spl13_314
<=> ! [X0,X1] : sK11 = k5_relat_1(sK7(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_314])]) ).
fof(f3037,plain,
( spl13_313
| ~ spl13_21
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1044,f1021,f275,f3035]) ).
fof(f3035,plain,
( spl13_313
<=> ! [X0,X1] : sK11 = k5_relat_1(k2_zfmisc_1(X0,X1),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_313])]) ).
fof(f3026,plain,
( spl13_312
| ~ spl13_22
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1038,f1017,f279,f3024]) ).
fof(f3024,plain,
( spl13_312
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_312])]) ).
fof(f3022,plain,
( spl13_311
| ~ spl13_117
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1037,f1017,f947,f3020]) ).
fof(f3020,plain,
( spl13_311
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,sK8(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_311])]) ).
fof(f3018,plain,
( spl13_310
| ~ spl13_116
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1036,f1017,f943,f3016]) ).
fof(f3016,plain,
( spl13_310
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,sK7(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_310])]) ).
fof(f3014,plain,
( spl13_309
| ~ spl13_21
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1024,f1017,f275,f3012]) ).
fof(f3012,plain,
( spl13_309
<=> ! [X0,X1] : sK11 = k5_relat_1(sK11,k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_309])]) ).
fof(f3010,plain,
( spl13_308
| ~ spl13_25
| ~ spl13_35
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f983,f972,f338,f294,f3008]) ).
fof(f3008,plain,
( spl13_308
<=> ! [X0] :
( sK11 = sK4(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_308])]) ).
fof(f983,plain,
( ! [X0] :
( sK11 = sK4(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_120 ),
inference(forward_demodulation,[],[f976,f340]) ).
fof(f976,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK4(k1_zfmisc_1(X0)) )
| ~ spl13_25
| ~ spl13_120 ),
inference(resolution,[],[f973,f295]) ).
fof(f3002,plain,
( spl13_307
| ~ spl13_251
| ~ spl13_306 ),
inference(avatar_split_clause,[],[f2998,f2995,f2509,f3000]) ).
fof(f3000,plain,
( spl13_307
<=> ! [X0,X1] : k5_relat_1(sK2,sK8(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k5_relat_1(sK2,sK8(X0,X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_307])]) ).
fof(f2995,plain,
( spl13_306
<=> ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_306])]) ).
fof(f2998,plain,
( ! [X0,X1] : k5_relat_1(sK2,sK8(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k5_relat_1(sK2,sK8(X0,X1)),k6_relat_1(X1))
| ~ spl13_251
| ~ spl13_306 ),
inference(forward_demodulation,[],[f2996,f2510]) ).
fof(f2996,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)),k6_relat_1(X1))
| ~ spl13_306 ),
inference(avatar_component_clause,[],[f2995]) ).
fof(f2997,plain,
( spl13_306
| ~ spl13_70
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1009,f989,f567,f2995]) ).
fof(f1009,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)),k6_relat_1(X1))
| ~ spl13_70
| ~ spl13_122 ),
inference(resolution,[],[f990,f568]) ).
fof(f2989,plain,
( spl13_305
| ~ spl13_251
| ~ spl13_304 ),
inference(avatar_split_clause,[],[f2978,f2975,f2509,f2987]) ).
fof(f2987,plain,
( spl13_305
<=> ! [X0,X1] : k5_relat_1(sK2,sK8(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k5_relat_1(sK2,sK8(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_305])]) ).
fof(f2975,plain,
( spl13_304
<=> ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_304])]) ).
fof(f2978,plain,
( ! [X0,X1] : k5_relat_1(sK2,sK8(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k5_relat_1(sK2,sK8(X0,X1)))
| ~ spl13_251
| ~ spl13_304 ),
inference(forward_demodulation,[],[f2976,f2510]) ).
fof(f2976,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)))
| ~ spl13_304 ),
inference(avatar_component_clause,[],[f2975]) ).
fof(f2977,plain,
( spl13_304
| ~ spl13_70
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f997,f985,f567,f2975]) ).
fof(f997,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)))
| ~ spl13_70
| ~ spl13_121 ),
inference(resolution,[],[f986,f568]) ).
fof(f2951,plain,
( spl13_303
| ~ spl13_14
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1055,f1021,f246,f2949]) ).
fof(f2949,plain,
( spl13_303
<=> ! [X0] : sK11 = k5_relat_1(sK6(X0),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_303])]) ).
fof(f2947,plain,
( spl13_302
| ~ spl13_10
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1049,f1021,f230,f2945]) ).
fof(f2945,plain,
( spl13_302
<=> ! [X0] : sK11 = k5_relat_1(k6_relat_1(X0),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_302])]) ).
fof(f2943,plain,
( spl13_301
| ~ spl13_14
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1035,f1017,f246,f2941]) ).
fof(f2941,plain,
( spl13_301
<=> ! [X0] : sK11 = k5_relat_1(sK11,sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_301])]) ).
fof(f2939,plain,
( spl13_300
| ~ spl13_10
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1029,f1017,f230,f2937]) ).
fof(f2937,plain,
( spl13_300
<=> ! [X0] : sK11 = k5_relat_1(sK11,k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_300])]) ).
fof(f2935,plain,
( spl13_299
| ~ spl13_34
| ~ spl13_258 ),
inference(avatar_split_clause,[],[f2564,f2561,f334,f2933]) ).
fof(f2561,plain,
( spl13_258
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(sK2,sK9(X0,X1)))
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_258])]) ).
fof(f2564,plain,
( ! [X0,X1] : v1_relat_1(k5_relat_1(sK2,sK9(X0,X1)))
| ~ spl13_34
| ~ spl13_258 ),
inference(resolution,[],[f2562,f335]) ).
fof(f2562,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK9(X0,X1),X0,X1)
| v1_relat_1(k5_relat_1(sK2,sK9(X0,X1))) )
| ~ spl13_258 ),
inference(avatar_component_clause,[],[f2561]) ).
fof(f2931,plain,
( spl13_298
| ~ spl13_19
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f975,f972,f267,f2929]) ).
fof(f2929,plain,
( spl13_298
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(sK4(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_298])]) ).
fof(f267,plain,
( spl13_19
<=> ! [X0] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f975,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(sK4(k1_zfmisc_1(X0))) )
| ~ spl13_19
| ~ spl13_120 ),
inference(resolution,[],[f973,f268]) ).
fof(f268,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) )
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f2923,plain,
( spl13_297
| ~ spl13_245
| ~ spl13_296 ),
inference(avatar_split_clause,[],[f2919,f2916,f2430,f2921]) ).
fof(f2921,plain,
( spl13_297
<=> ! [X0] : k5_relat_1(sK2,k6_relat_1(X0)) = k7_relset_1(sK0,X0,X0,X0,k5_relat_1(sK2,k6_relat_1(X0)),k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_297])]) ).
fof(f2430,plain,
( spl13_245
<=> ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k5_relat_1(sK2,k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_245])]) ).
fof(f2916,plain,
( spl13_296
<=> ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k7_relset_1(sK0,X0,X0,X0,k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)),k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_296])]) ).
fof(f2919,plain,
( ! [X0] : k5_relat_1(sK2,k6_relat_1(X0)) = k7_relset_1(sK0,X0,X0,X0,k5_relat_1(sK2,k6_relat_1(X0)),k6_relat_1(X0))
| ~ spl13_245
| ~ spl13_296 ),
inference(forward_demodulation,[],[f2917,f2431]) ).
fof(f2431,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k5_relat_1(sK2,k6_relat_1(X0))
| ~ spl13_245 ),
inference(avatar_component_clause,[],[f2430]) ).
fof(f2917,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k7_relset_1(sK0,X0,X0,X0,k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)),k6_relat_1(X0))
| ~ spl13_296 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f2918,plain,
( spl13_296
| ~ spl13_64
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1005,f989,f529,f2916]) ).
fof(f1005,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k7_relset_1(sK0,X0,X0,X0,k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)),k6_relat_1(X0))
| ~ spl13_64
| ~ spl13_122 ),
inference(resolution,[],[f990,f530]) ).
fof(f2910,plain,
( spl13_295
| ~ spl13_245
| ~ spl13_294 ),
inference(avatar_split_clause,[],[f2906,f2903,f2430,f2908]) ).
fof(f2908,plain,
( spl13_295
<=> ! [X0] : k5_relat_1(sK2,k6_relat_1(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k5_relat_1(sK2,k6_relat_1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_295])]) ).
fof(f2903,plain,
( spl13_294
<=> ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_294])]) ).
fof(f2906,plain,
( ! [X0] : k5_relat_1(sK2,k6_relat_1(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k5_relat_1(sK2,k6_relat_1(X0)))
| ~ spl13_245
| ~ spl13_294 ),
inference(forward_demodulation,[],[f2904,f2431]) ).
fof(f2904,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)))
| ~ spl13_294 ),
inference(avatar_component_clause,[],[f2903]) ).
fof(f2905,plain,
( spl13_294
| ~ spl13_64
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f993,f985,f529,f2903]) ).
fof(f993,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)))
| ~ spl13_64
| ~ spl13_121 ),
inference(resolution,[],[f986,f530]) ).
fof(f2900,plain,
( ~ spl13_52
| spl13_293
| ~ spl13_114
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1661,f1644,f931,f2898,f441]) ).
fof(f2898,plain,
( spl13_293
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(sK2,sK9(X0,X1)))
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| m1_subset_1(X2,k2_zfmisc_1(sK0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_293])]) ).
fof(f931,plain,
( spl13_114
<=> ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK9(X0,X1)) = k5_relat_1(sK2,sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).
fof(f1661,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(sK2,sK9(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(sK0,X1))
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_114
| ~ spl13_189 ),
inference(superposition,[],[f1645,f932]) ).
fof(f932,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK9(X0,X1)) = k5_relat_1(sK2,sK9(X0,X1))
| ~ spl13_114 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f2895,plain,
( spl13_292
| ~ spl13_32
| ~ spl13_257 ),
inference(avatar_split_clause,[],[f2559,f2556,f326,f2893]) ).
fof(f2556,plain,
( spl13_257
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(sK2,sK7(X0,X1)))
| ~ m1_relset_1(sK7(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_257])]) ).
fof(f2559,plain,
( ! [X0,X1] : v1_relat_1(k5_relat_1(sK2,sK7(X0,X1)))
| ~ spl13_32
| ~ spl13_257 ),
inference(resolution,[],[f2557,f327]) ).
fof(f2557,plain,
( ! [X0,X1] :
( ~ m1_relset_1(sK7(X0,X1),X0,X1)
| v1_relat_1(k5_relat_1(sK2,sK7(X0,X1))) )
| ~ spl13_257 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2891,plain,
( ~ spl13_52
| spl13_291
| ~ spl13_113
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1660,f1644,f927,f2889,f441]) ).
fof(f2889,plain,
( spl13_291
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(sK2,sK7(X0,X1)))
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| m1_subset_1(X2,k2_zfmisc_1(sK0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_291])]) ).
fof(f927,plain,
( spl13_113
<=> ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK7(X0,X1)) = k5_relat_1(sK2,sK7(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).
fof(f1660,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k5_relat_1(sK2,sK7(X0,X1)))
| m1_subset_1(X2,k2_zfmisc_1(sK0,X1))
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_113
| ~ spl13_189 ),
inference(superposition,[],[f1645,f928]) ).
fof(f928,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK7(X0,X1)) = k5_relat_1(sK2,sK7(X0,X1))
| ~ spl13_113 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f2861,plain,
( spl13_290
| ~ spl13_8
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1061,f1021,f221,f2858]) ).
fof(f2858,plain,
( spl13_290
<=> sK11 = k5_relat_1(sK12,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_290])]) ).
fof(f1061,plain,
( sK11 = k5_relat_1(sK12,sK11)
| ~ spl13_8
| ~ spl13_124 ),
inference(resolution,[],[f1022,f223]) ).
fof(f2856,plain,
( spl13_289
| ~ spl13_5
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1059,f1021,f206,f2853]) ).
fof(f2853,plain,
( spl13_289
<=> sK11 = k5_relat_1(sK10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_289])]) ).
fof(f1059,plain,
( sK11 = k5_relat_1(sK10,sK11)
| ~ spl13_5
| ~ spl13_124 ),
inference(resolution,[],[f1022,f208]) ).
fof(f2851,plain,
( spl13_288
| ~ spl13_3
| ~ spl13_35
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1042,f1017,f338,f196,f2848]) ).
fof(f2848,plain,
( spl13_288
<=> sK11 = k5_relat_1(sK11,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_288])]) ).
fof(f196,plain,
( spl13_3
<=> v1_relat_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f1042,plain,
( sK11 = k5_relat_1(sK11,sK11)
| ~ spl13_3
| ~ spl13_35
| ~ spl13_123 ),
inference(forward_demodulation,[],[f1030,f340]) ).
fof(f1030,plain,
( sK11 = k5_relat_1(sK11,k1_xboole_0)
| ~ spl13_3
| ~ spl13_123 ),
inference(resolution,[],[f1018,f198]) ).
fof(f198,plain,
( v1_relat_1(k1_xboole_0)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f2846,plain,
( spl13_287
| ~ spl13_8
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1041,f1017,f221,f2843]) ).
fof(f2843,plain,
( spl13_287
<=> sK11 = k5_relat_1(sK11,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_287])]) ).
fof(f1041,plain,
( sK11 = k5_relat_1(sK11,sK12)
| ~ spl13_8
| ~ spl13_123 ),
inference(resolution,[],[f1018,f223]) ).
fof(f2841,plain,
( spl13_286
| ~ spl13_60
| ~ spl13_245 ),
inference(avatar_split_clause,[],[f2443,f2430,f506,f2838]) ).
fof(f506,plain,
( spl13_60
<=> sK2 = k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f2443,plain,
( sK2 = k5_relat_1(sK2,k6_relat_1(sK1))
| ~ spl13_60
| ~ spl13_245 ),
inference(superposition,[],[f2431,f508]) ).
fof(f508,plain,
( sK2 = k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1))
| ~ spl13_60 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f2836,plain,
( spl13_285
| ~ spl13_5
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1039,f1017,f206,f2833]) ).
fof(f2833,plain,
( spl13_285
<=> sK11 = k5_relat_1(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_285])]) ).
fof(f1039,plain,
( sK11 = k5_relat_1(sK11,sK10)
| ~ spl13_5
| ~ spl13_123 ),
inference(resolution,[],[f1018,f208]) ).
fof(f2795,plain,
( spl13_284
| ~ spl13_1
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1741,f1725,f186,f2793]) ).
fof(f2793,plain,
( spl13_284
<=> ! [X0] :
( v1_xboole_0(k2_zfmisc_1(sK1,X0))
| k9_relset_2(sK0,sK1,X0,sK2,sK3(k2_zfmisc_1(sK1,X0))) = k5_relat_1(sK2,sK3(k2_zfmisc_1(sK1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_284])]) ).
fof(f1741,plain,
( ! [X0] :
( v1_xboole_0(k2_zfmisc_1(sK1,X0))
| k9_relset_2(sK0,sK1,X0,sK2,sK3(k2_zfmisc_1(sK1,X0))) = k5_relat_1(sK2,sK3(k2_zfmisc_1(sK1,X0))) )
| ~ spl13_1
| ~ spl13_196 ),
inference(resolution,[],[f1726,f188]) ).
fof(f2791,plain,
( spl13_283
| ~ spl13_1
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1732,f1721,f186,f2789]) ).
fof(f2789,plain,
( spl13_283
<=> ! [X0] :
( k9_relset_2(X0,sK0,sK1,sK3(k2_zfmisc_1(X0,sK0)),sK2) = k5_relat_1(sK3(k2_zfmisc_1(X0,sK0)),sK2)
| v1_xboole_0(k2_zfmisc_1(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_283])]) ).
fof(f1732,plain,
( ! [X0] :
( k9_relset_2(X0,sK0,sK1,sK3(k2_zfmisc_1(X0,sK0)),sK2) = k5_relat_1(sK3(k2_zfmisc_1(X0,sK0)),sK2)
| v1_xboole_0(k2_zfmisc_1(X0,sK0)) )
| ~ spl13_1
| ~ spl13_195 ),
inference(resolution,[],[f1722,f188]) ).
fof(f2786,plain,
( ~ spl13_52
| spl13_282
| ~ spl13_112
| ~ spl13_189 ),
inference(avatar_split_clause,[],[f1659,f1644,f916,f2784,f441]) ).
fof(f2784,plain,
( spl13_282
<=> ! [X0,X1] :
( ~ r2_hidden(X1,k5_relat_1(sK2,sK6(X0)))
| ~ m1_relset_1(sK6(X0),X0,X0)
| m1_subset_1(X1,k2_zfmisc_1(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_282])]) ).
fof(f916,plain,
( spl13_112
<=> ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,sK6(X0)) = k5_relat_1(sK2,sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).
fof(f1659,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k5_relat_1(sK2,sK6(X0)))
| m1_subset_1(X1,k2_zfmisc_1(sK0,X0))
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_112
| ~ spl13_189 ),
inference(superposition,[],[f1645,f917]) ).
fof(f917,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,sK6(X0)) = k5_relat_1(sK2,sK6(X0))
| ~ spl13_112 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f2770,plain,
( spl13_281
| ~ spl13_61
| ~ spl13_241 ),
inference(avatar_split_clause,[],[f2433,f2413,f511,f2767]) ).
fof(f2729,plain,
( spl13_280
| ~ spl13_34
| ~ spl13_52
| ~ spl13_62
| ~ spl13_216 ),
inference(avatar_split_clause,[],[f2102,f1961,f521,f441,f334,f2727]) ).
fof(f2727,plain,
( spl13_280
<=> ! [X0,X1] : k5_relat_1(sK9(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK9(X0,X1),sK2),k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_280])]) ).
fof(f2102,plain,
( ! [X0,X1] : k5_relat_1(sK9(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK9(X0,X1),sK2),k6_relat_1(sK1))
| ~ spl13_34
| ~ spl13_52
| ~ spl13_62
| ~ spl13_216 ),
inference(forward_demodulation,[],[f2095,f564]) ).
fof(f564,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK9(X0,X1),sK2) = k5_relat_1(sK9(X0,X1),sK2)
| ~ spl13_34
| ~ spl13_62 ),
inference(resolution,[],[f522,f335]) ).
fof(f2095,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK9(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k7_relset_1(X0,X1,sK0,sK1,sK9(X0,X1),sK2),k6_relat_1(sK1))
| ~ spl13_52
| ~ spl13_216 ),
inference(resolution,[],[f1962,f443]) ).
fof(f2723,plain,
( spl13_279
| ~ spl13_52
| ~ spl13_62
| ~ spl13_70
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f2087,f1957,f567,f521,f441,f2721]) ).
fof(f2721,plain,
( spl13_279
<=> ! [X0,X1] : k5_relat_1(sK8(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK8(X0,X1),sK2),k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_279])]) ).
fof(f2087,plain,
( ! [X0,X1] : k5_relat_1(sK8(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK8(X0,X1),sK2),k6_relat_1(sK1))
| ~ spl13_52
| ~ spl13_62
| ~ spl13_70
| ~ spl13_215 ),
inference(forward_demodulation,[],[f2080,f586]) ).
fof(f586,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK8(X0,X1),sK2) = k5_relat_1(sK8(X0,X1),sK2)
| ~ spl13_62
| ~ spl13_70 ),
inference(resolution,[],[f568,f522]) ).
fof(f2080,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK8(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k7_relset_1(X0,X1,sK0,sK1,sK8(X0,X1),sK2),k6_relat_1(sK1))
| ~ spl13_52
| ~ spl13_215 ),
inference(resolution,[],[f1958,f443]) ).
fof(f2719,plain,
( spl13_278
| ~ spl13_32
| ~ spl13_52
| ~ spl13_62
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f2072,f1953,f521,f441,f326,f2717]) ).
fof(f2717,plain,
( spl13_278
<=> ! [X0,X1] : k5_relat_1(sK7(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK7(X0,X1),sK2),k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_278])]) ).
fof(f2072,plain,
( ! [X0,X1] : k5_relat_1(sK7(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK7(X0,X1),sK2),k6_relat_1(sK1))
| ~ spl13_32
| ~ spl13_52
| ~ spl13_62
| ~ spl13_214 ),
inference(forward_demodulation,[],[f2065,f563]) ).
fof(f563,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK7(X0,X1),sK2) = k5_relat_1(sK7(X0,X1),sK2)
| ~ spl13_32
| ~ spl13_62 ),
inference(resolution,[],[f522,f327]) ).
fof(f2065,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK7(X0,X1),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k7_relset_1(X0,X1,sK0,sK1,sK7(X0,X1),sK2),k6_relat_1(sK1))
| ~ spl13_52
| ~ spl13_214 ),
inference(resolution,[],[f1954,f443]) ).
fof(f2715,plain,
( spl13_277
| ~ spl13_34
| ~ spl13_52
| ~ spl13_62
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f2057,f1949,f521,f441,f334,f2713]) ).
fof(f2713,plain,
( spl13_277
<=> ! [X0,X1] : k5_relat_1(sK9(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_277])]) ).
fof(f2057,plain,
( ! [X0,X1] : k5_relat_1(sK9(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK9(X0,X1),sK2))
| ~ spl13_34
| ~ spl13_52
| ~ spl13_62
| ~ spl13_213 ),
inference(forward_demodulation,[],[f2050,f564]) ).
fof(f2050,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK9(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k7_relset_1(X0,X1,sK0,sK1,sK9(X0,X1),sK2))
| ~ spl13_52
| ~ spl13_213 ),
inference(resolution,[],[f1950,f443]) ).
fof(f2711,plain,
( spl13_276
| ~ spl13_52
| ~ spl13_62
| ~ spl13_70
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f2042,f1945,f567,f521,f441,f2709]) ).
fof(f2709,plain,
( spl13_276
<=> ! [X0,X1] : k5_relat_1(sK8(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_276])]) ).
fof(f2042,plain,
( ! [X0,X1] : k5_relat_1(sK8(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK8(X0,X1),sK2))
| ~ spl13_52
| ~ spl13_62
| ~ spl13_70
| ~ spl13_212 ),
inference(forward_demodulation,[],[f2035,f586]) ).
fof(f2035,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK8(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k7_relset_1(X0,X1,sK0,sK1,sK8(X0,X1),sK2))
| ~ spl13_52
| ~ spl13_212 ),
inference(resolution,[],[f1946,f443]) ).
fof(f2707,plain,
( spl13_275
| ~ spl13_32
| ~ spl13_52
| ~ spl13_62
| ~ spl13_211 ),
inference(avatar_split_clause,[],[f2027,f1941,f521,f441,f326,f2705]) ).
fof(f2705,plain,
( spl13_275
<=> ! [X0,X1] : k5_relat_1(sK7(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_275])]) ).
fof(f2027,plain,
( ! [X0,X1] : k5_relat_1(sK7(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK7(X0,X1),sK2))
| ~ spl13_32
| ~ spl13_52
| ~ spl13_62
| ~ spl13_211 ),
inference(forward_demodulation,[],[f2020,f563]) ).
fof(f2020,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK7(X0,X1),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k7_relset_1(X0,X1,sK0,sK1,sK7(X0,X1),sK2))
| ~ spl13_52
| ~ spl13_211 ),
inference(resolution,[],[f1942,f443]) ).
fof(f2703,plain,
( spl13_274
| ~ spl13_1
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1705,f1652,f186,f2701]) ).
fof(f2701,plain,
( spl13_274
<=> ! [X0] : k9_relset_2(sK0,sK1,X0,sK2,sK4(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k5_relat_1(sK2,sK4(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_274])]) ).
fof(f1705,plain,
( ! [X0] : k9_relset_2(sK0,sK1,X0,sK2,sK4(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k5_relat_1(sK2,sK4(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| ~ spl13_1
| ~ spl13_191 ),
inference(resolution,[],[f1653,f188]) ).
fof(f2699,plain,
( spl13_273
| ~ spl13_1
| ~ spl13_190 ),
inference(avatar_split_clause,[],[f1692,f1648,f186,f2697]) ).
fof(f2697,plain,
( spl13_273
<=> ! [X0] : k9_relset_2(X0,sK0,sK1,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,sK0))),sK2) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,sK0))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_273])]) ).
fof(f1692,plain,
( ! [X0] : k9_relset_2(X0,sK0,sK1,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,sK0))),sK2) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,sK0))),sK2)
| ~ spl13_1
| ~ spl13_190 ),
inference(resolution,[],[f1649,f188]) ).
fof(f2695,plain,
( spl13_272
| ~ spl13_34
| ~ spl13_114
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1014,f989,f931,f334,f2693]) ).
fof(f2693,plain,
( spl13_272
<=> ! [X0,X1] : k5_relat_1(sK2,sK9(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k5_relat_1(sK2,sK9(X0,X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_272])]) ).
fof(f1014,plain,
( ! [X0,X1] : k5_relat_1(sK2,sK9(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k5_relat_1(sK2,sK9(X0,X1)),k6_relat_1(X1))
| ~ spl13_34
| ~ spl13_114
| ~ spl13_122 ),
inference(forward_demodulation,[],[f1010,f932]) ).
fof(f1010,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK9(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,sK9(X0,X1)),k6_relat_1(X1))
| ~ spl13_34
| ~ spl13_122 ),
inference(resolution,[],[f990,f335]) ).
fof(f2691,plain,
( spl13_271
| ~ spl13_32
| ~ spl13_113
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1013,f989,f927,f326,f2689]) ).
fof(f2689,plain,
( spl13_271
<=> ! [X0,X1] : k5_relat_1(sK2,sK7(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k5_relat_1(sK2,sK7(X0,X1)),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_271])]) ).
fof(f1013,plain,
( ! [X0,X1] : k5_relat_1(sK2,sK7(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k5_relat_1(sK2,sK7(X0,X1)),k6_relat_1(X1))
| ~ spl13_32
| ~ spl13_113
| ~ spl13_122 ),
inference(forward_demodulation,[],[f1008,f928]) ).
fof(f1008,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK7(X0,X1)) = k7_relset_1(sK0,X1,X1,X1,k7_relset_1(sK0,sK1,X0,X1,sK2,sK7(X0,X1)),k6_relat_1(X1))
| ~ spl13_32
| ~ spl13_122 ),
inference(resolution,[],[f990,f327]) ).
fof(f2687,plain,
( spl13_270
| ~ spl13_34
| ~ spl13_114
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1002,f985,f931,f334,f2685]) ).
fof(f2685,plain,
( spl13_270
<=> ! [X0,X1] : k5_relat_1(sK2,sK9(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k5_relat_1(sK2,sK9(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_270])]) ).
fof(f1002,plain,
( ! [X0,X1] : k5_relat_1(sK2,sK9(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k5_relat_1(sK2,sK9(X0,X1)))
| ~ spl13_34
| ~ spl13_114
| ~ spl13_121 ),
inference(forward_demodulation,[],[f998,f932]) ).
fof(f998,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK9(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,sK9(X0,X1)))
| ~ spl13_34
| ~ spl13_121 ),
inference(resolution,[],[f986,f335]) ).
fof(f2683,plain,
( spl13_269
| ~ spl13_27
| ~ spl13_246 ),
inference(avatar_split_clause,[],[f2453,f2450,f302,f2681]) ).
fof(f2450,plain,
( spl13_246
<=> ! [X0] :
( v1_relat_1(k5_relat_1(sK2,sK6(X0)))
| ~ m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_246])]) ).
fof(f2453,plain,
( ! [X0] : v1_relat_1(k5_relat_1(sK2,sK6(X0)))
| ~ spl13_27
| ~ spl13_246 ),
inference(resolution,[],[f2451,f303]) ).
fof(f2451,plain,
( ! [X0] :
( ~ m1_relset_1(sK6(X0),X0,X0)
| v1_relat_1(k5_relat_1(sK2,sK6(X0))) )
| ~ spl13_246 ),
inference(avatar_component_clause,[],[f2450]) ).
fof(f2679,plain,
( spl13_268
| ~ spl13_32
| ~ spl13_113
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1001,f985,f927,f326,f2677]) ).
fof(f2677,plain,
( spl13_268
<=> ! [X0,X1] : k5_relat_1(sK2,sK7(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k5_relat_1(sK2,sK7(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_268])]) ).
fof(f1001,plain,
( ! [X0,X1] : k5_relat_1(sK2,sK7(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k5_relat_1(sK2,sK7(X0,X1)))
| ~ spl13_32
| ~ spl13_113
| ~ spl13_121 ),
inference(forward_demodulation,[],[f996,f928]) ).
fof(f996,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK7(X0,X1)) = k7_relset_1(sK0,sK0,sK0,X1,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X1,sK2,sK7(X0,X1)))
| ~ spl13_32
| ~ spl13_121 ),
inference(resolution,[],[f986,f327]) ).
fof(f2674,plain,
( ~ spl13_52
| spl13_267
| ~ spl13_56
| ~ spl13_114 ),
inference(avatar_split_clause,[],[f937,f931,f473,f2672,f441]) ).
fof(f937,plain,
( ! [X0,X1] :
( m2_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_56
| ~ spl13_114 ),
inference(superposition,[],[f474,f932]) ).
fof(f2669,plain,
( ~ spl13_52
| spl13_266
| ~ spl13_99
| ~ spl13_114 ),
inference(avatar_split_clause,[],[f936,f931,f778,f2667,f441]) ).
fof(f936,plain,
( ! [X0,X1] :
( m1_relset_1(k5_relat_1(sK2,sK9(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl13_99
| ~ spl13_114 ),
inference(superposition,[],[f779,f932]) ).
fof(f2664,plain,
( ~ spl13_52
| spl13_265
| ~ spl13_56
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f935,f927,f473,f2662,f441]) ).
fof(f935,plain,
( ! [X0,X1] :
( m2_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_56
| ~ spl13_113 ),
inference(superposition,[],[f474,f928]) ).
fof(f2659,plain,
( ~ spl13_52
| spl13_264
| ~ spl13_99
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f934,f927,f778,f2657,f441]) ).
fof(f934,plain,
( ! [X0,X1] :
( m1_relset_1(k5_relat_1(sK2,sK7(X0,X1)),sK0,X1)
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ m1_relset_1(sK7(X0,X1),X0,X1) )
| ~ spl13_99
| ~ spl13_113 ),
inference(superposition,[],[f779,f928]) ).
fof(f2636,plain,
( spl13_263
| ~ spl13_25
| ~ spl13_35
| ~ spl13_243
| ~ spl13_261 ),
inference(avatar_split_clause,[],[f2605,f2602,f2421,f338,f294,f2634]) ).
fof(f2634,plain,
( spl13_263
<=> ! [X0] : k5_relat_1(k6_relat_1(X0),sK2) = k7_relset_1(X0,sK11,sK11,sK11,k5_relat_1(k6_relat_1(X0),sK2),k6_relat_1(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_263])]) ).
fof(f2602,plain,
( spl13_261
<=> ! [X0] : k5_relat_1(k6_relat_1(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(k6_relat_1(X0),sK2),k6_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_261])]) ).
fof(f2605,plain,
( ! [X0] : k5_relat_1(k6_relat_1(X0),sK2) = k7_relset_1(X0,sK11,sK11,sK11,k5_relat_1(k6_relat_1(X0),sK2),k6_relat_1(sK11))
| ~ spl13_25
| ~ spl13_35
| ~ spl13_243
| ~ spl13_261 ),
inference(forward_demodulation,[],[f2603,f2588]) ).
fof(f2603,plain,
( ! [X0] : k5_relat_1(k6_relat_1(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(k6_relat_1(X0),sK2),k6_relat_1(sK1))
| ~ spl13_261 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f2609,plain,
( spl13_262
| ~ spl13_27
| ~ spl13_52
| ~ spl13_62
| ~ spl13_208 ),
inference(avatar_split_clause,[],[f1935,f1833,f521,f441,f302,f2607]) ).
fof(f1935,plain,
( ! [X0] : k5_relat_1(sK6(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(sK6(X0),sK2),k6_relat_1(sK1))
| ~ spl13_27
| ~ spl13_52
| ~ spl13_62
| ~ spl13_208 ),
inference(forward_demodulation,[],[f1928,f562]) ).
fof(f562,plain,
( ! [X0] : k7_relset_1(X0,X0,sK0,sK1,sK6(X0),sK2) = k5_relat_1(sK6(X0),sK2)
| ~ spl13_27
| ~ spl13_62 ),
inference(resolution,[],[f522,f303]) ).
fof(f1928,plain,
( ! [X0] : k7_relset_1(X0,X0,sK0,sK1,sK6(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k7_relset_1(X0,X0,sK0,sK1,sK6(X0),sK2),k6_relat_1(sK1))
| ~ spl13_52
| ~ spl13_208 ),
inference(resolution,[],[f1834,f443]) ).
fof(f2604,plain,
( spl13_261
| ~ spl13_52
| ~ spl13_62
| ~ spl13_64
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1920,f1829,f529,f521,f441,f2602]) ).
fof(f1920,plain,
( ! [X0] : k5_relat_1(k6_relat_1(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k5_relat_1(k6_relat_1(X0),sK2),k6_relat_1(sK1))
| ~ spl13_52
| ~ spl13_62
| ~ spl13_64
| ~ spl13_207 ),
inference(forward_demodulation,[],[f1913,f561]) ).
fof(f561,plain,
( ! [X0] : k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2) = k5_relat_1(k6_relat_1(X0),sK2)
| ~ spl13_62
| ~ spl13_64 ),
inference(resolution,[],[f522,f530]) ).
fof(f1913,plain,
( ! [X0] : k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2) = k7_relset_1(X0,sK1,sK1,sK1,k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2),k6_relat_1(sK1))
| ~ spl13_52
| ~ spl13_207 ),
inference(resolution,[],[f1830,f443]) ).
fof(f2572,plain,
( spl13_260
| ~ spl13_27
| ~ spl13_52
| ~ spl13_62
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1905,f1825,f521,f441,f302,f2570]) ).
fof(f2570,plain,
( spl13_260
<=> ! [X0] : k5_relat_1(sK6(X0),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK6(X0),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_260])]) ).
fof(f1905,plain,
( ! [X0] : k5_relat_1(sK6(X0),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(sK6(X0),sK2))
| ~ spl13_27
| ~ spl13_52
| ~ spl13_62
| ~ spl13_206 ),
inference(forward_demodulation,[],[f1898,f562]) ).
fof(f1898,plain,
( ! [X0] : k7_relset_1(X0,X0,sK0,sK1,sK6(X0),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k7_relset_1(X0,X0,sK0,sK1,sK6(X0),sK2))
| ~ spl13_52
| ~ spl13_206 ),
inference(resolution,[],[f1826,f443]) ).
fof(f2568,plain,
( spl13_259
| ~ spl13_52
| ~ spl13_62
| ~ spl13_64
| ~ spl13_205 ),
inference(avatar_split_clause,[],[f1886,f1821,f529,f521,f441,f2566]) ).
fof(f2566,plain,
( spl13_259
<=> ! [X0] : k5_relat_1(k6_relat_1(X0),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_259])]) ).
fof(f1886,plain,
( ! [X0] : k5_relat_1(k6_relat_1(X0),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k5_relat_1(k6_relat_1(X0),sK2))
| ~ spl13_52
| ~ spl13_62
| ~ spl13_64
| ~ spl13_205 ),
inference(forward_demodulation,[],[f1879,f561]) ).
fof(f1879,plain,
( ! [X0] : k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2) = k7_relset_1(X0,X0,X0,sK1,k6_relat_1(X0),k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2))
| ~ spl13_52
| ~ spl13_205 ),
inference(resolution,[],[f1822,f443]) ).
fof(f2563,plain,
( ~ spl13_52
| spl13_258
| ~ spl13_114
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1381,f1371,f931,f2561,f441]) ).
fof(f1381,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(sK2,sK9(X0,X1)))
| ~ m1_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_114
| ~ spl13_159 ),
inference(superposition,[],[f1372,f932]) ).
fof(f2558,plain,
( ~ spl13_52
| spl13_257
| ~ spl13_113
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1380,f1371,f927,f2556,f441]) ).
fof(f1380,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relat_1(sK2,sK7(X0,X1)))
| ~ m1_relset_1(sK7(X0,X1),X0,X1)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_113
| ~ spl13_159 ),
inference(superposition,[],[f1372,f928]) ).
fof(f2554,plain,
( spl13_256
| ~ spl13_27
| ~ spl13_112
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1012,f989,f916,f302,f2552]) ).
fof(f2552,plain,
( spl13_256
<=> ! [X0] : k5_relat_1(sK2,sK6(X0)) = k7_relset_1(sK0,X0,X0,X0,k5_relat_1(sK2,sK6(X0)),k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_256])]) ).
fof(f1012,plain,
( ! [X0] : k5_relat_1(sK2,sK6(X0)) = k7_relset_1(sK0,X0,X0,X0,k5_relat_1(sK2,sK6(X0)),k6_relat_1(X0))
| ~ spl13_27
| ~ spl13_112
| ~ spl13_122 ),
inference(forward_demodulation,[],[f1007,f917]) ).
fof(f1007,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,sK6(X0)) = k7_relset_1(sK0,X0,X0,X0,k7_relset_1(sK0,sK1,X0,X0,sK2,sK6(X0)),k6_relat_1(X0))
| ~ spl13_27
| ~ spl13_122 ),
inference(resolution,[],[f990,f303]) ).
fof(f2550,plain,
( spl13_255
| ~ spl13_27
| ~ spl13_112
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1000,f985,f916,f302,f2548]) ).
fof(f2548,plain,
( spl13_255
<=> ! [X0] : k5_relat_1(sK2,sK6(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k5_relat_1(sK2,sK6(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_255])]) ).
fof(f1000,plain,
( ! [X0] : k5_relat_1(sK2,sK6(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k5_relat_1(sK2,sK6(X0)))
| ~ spl13_27
| ~ spl13_112
| ~ spl13_121 ),
inference(forward_demodulation,[],[f995,f917]) ).
fof(f995,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,sK6(X0)) = k7_relset_1(sK0,sK0,sK0,X0,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X0,X0,sK2,sK6(X0)))
| ~ spl13_27
| ~ spl13_121 ),
inference(resolution,[],[f986,f303]) ).
fof(f2545,plain,
( ~ spl13_52
| spl13_254
| ~ spl13_56
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f920,f916,f473,f2543,f441]) ).
fof(f920,plain,
( ! [X0] :
( m2_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0)
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_56
| ~ spl13_112 ),
inference(superposition,[],[f474,f917]) ).
fof(f2540,plain,
( ~ spl13_52
| spl13_253
| ~ spl13_99
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f919,f916,f778,f2538,f441]) ).
fof(f919,plain,
( ! [X0] :
( m1_relset_1(k5_relat_1(sK2,sK6(X0)),sK0,X0)
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ m1_relset_1(sK6(X0),X0,X0) )
| ~ spl13_99
| ~ spl13_112 ),
inference(superposition,[],[f779,f917]) ).
fof(f2524,plain,
( spl13_252
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242
| ~ spl13_249 ),
inference(avatar_split_clause,[],[f2502,f2499,f2417,f338,f294,f2522]) ).
fof(f2522,plain,
( spl13_252
<=> ! [X0,X1] : k5_relat_1(sK9(X0,X1),sK2) = k7_relset_1(X0,X1,sK11,sK1,sK9(X0,X1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_252])]) ).
fof(f2499,plain,
( spl13_249
<=> ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK9(X0,X1),sK2) = k5_relat_1(sK9(X0,X1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_249])]) ).
fof(f2502,plain,
( ! [X0,X1] : k5_relat_1(sK9(X0,X1),sK2) = k7_relset_1(X0,X1,sK11,sK1,sK9(X0,X1),sK2)
| ~ spl13_25
| ~ spl13_35
| ~ spl13_242
| ~ spl13_249 ),
inference(forward_demodulation,[],[f2500,f2485]) ).
fof(f2500,plain,
( ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK9(X0,X1),sK2) = k5_relat_1(sK9(X0,X1),sK2)
| ~ spl13_249 ),
inference(avatar_component_clause,[],[f2499]) ).
fof(f2511,plain,
( spl13_251
| ~ spl13_52
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1558,f1507,f441,f2509]) ).
fof(f1558,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK8(X0,X1)) = k5_relat_1(sK2,sK8(X0,X1))
| ~ spl13_52
| ~ spl13_175 ),
inference(resolution,[],[f1508,f443]) ).
fof(f2506,plain,
( spl13_250
| ~ spl13_62
| ~ spl13_70 ),
inference(avatar_split_clause,[],[f586,f567,f521,f2504]) ).
fof(f2501,plain,
( spl13_249
| ~ spl13_34
| ~ spl13_62 ),
inference(avatar_split_clause,[],[f564,f521,f334,f2499]) ).
fof(f2469,plain,
( spl13_248
| ~ spl13_32
| ~ spl13_62 ),
inference(avatar_split_clause,[],[f563,f521,f326,f2467]) ).
fof(f2467,plain,
( spl13_248
<=> ! [X0,X1] : k7_relset_1(X0,X1,sK0,sK1,sK7(X0,X1),sK2) = k5_relat_1(sK7(X0,X1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_248])]) ).
fof(f2457,plain,
( spl13_247
| ~ spl13_1
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1501,f1483,f186,f2455]) ).
fof(f1501,plain,
( ! [X0,X1] :
( k9_relset_2(X0,sK0,sK1,X1,sK2) = k5_relat_1(X1,sK2)
| ~ m2_relset_1(X1,X0,sK0) )
| ~ spl13_1
| ~ spl13_172 ),
inference(resolution,[],[f1484,f188]) ).
fof(f2452,plain,
( ~ spl13_52
| spl13_246
| ~ spl13_112
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1379,f1371,f916,f2450,f441]) ).
fof(f1379,plain,
( ! [X0] :
( v1_relat_1(k5_relat_1(sK2,sK6(X0)))
| ~ m1_relset_1(sK6(X0),X0,X0)
| ~ m1_relset_1(sK2,sK0,sK1) )
| ~ spl13_112
| ~ spl13_159 ),
inference(superposition,[],[f1372,f917]) ).
fof(f2432,plain,
( spl13_245
| ~ spl13_52
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1439,f1396,f441,f2430]) ).
fof(f1439,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k5_relat_1(sK2,k6_relat_1(X0))
| ~ spl13_52
| ~ spl13_160 ),
inference(resolution,[],[f1397,f443]) ).
fof(f2428,plain,
( spl13_244
| ~ spl13_27
| ~ spl13_62 ),
inference(avatar_split_clause,[],[f562,f521,f302,f2426]) ).
fof(f2426,plain,
( spl13_244
<=> ! [X0] : k7_relset_1(X0,X0,sK0,sK1,sK6(X0),sK2) = k5_relat_1(sK6(X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_244])]) ).
fof(f2424,plain,
( spl13_242
| spl13_243
| ~ spl13_40
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2383,f2375,f363,f2421,f2417]) ).
fof(f2415,plain,
( spl13_241
| ~ spl13_62
| ~ spl13_64 ),
inference(avatar_split_clause,[],[f561,f529,f521,f2413]) ).
fof(f2381,plain,
( spl13_239
| spl13_240
| ~ spl13_39
| ~ spl13_96 ),
inference(avatar_split_clause,[],[f815,f754,f359,f2379,f2375]) ).
fof(f754,plain,
( spl13_96
<=> ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,k2_zfmisc_1(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f815,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| v1_xboole_0(k2_zfmisc_1(sK0,sK1))
| r2_hidden(X0,k2_zfmisc_1(sK0,sK1)) )
| ~ spl13_39
| ~ spl13_96 ),
inference(resolution,[],[f755,f360]) ).
fof(f755,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(sK0,sK1))
| ~ r2_hidden(X0,sK2) )
| ~ spl13_96 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f2355,plain,
( spl13_238
| ~ spl13_103
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f887,f876,f827,f2353]) ).
fof(f2353,plain,
( spl13_238
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0),k6_relat_1(X2))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_238])]) ).
fof(f876,plain,
( spl13_109
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X4,X5,X1,X2,X3,X0) = k7_relset_1(X4,X2,X2,X2,k7_relset_1(X4,X5,X1,X2,X3,X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).
fof(f887,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0),k6_relat_1(X2))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,X4))) )
| ~ spl13_103
| ~ spl13_109 ),
inference(resolution,[],[f877,f828]) ).
fof(f877,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X4,X5,X1,X2,X3,X0) = k7_relset_1(X4,X2,X2,X2,k7_relset_1(X4,X5,X1,X2,X3,X0),k6_relat_1(X2)) )
| ~ spl13_109 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f2351,plain,
( spl13_237
| ~ spl13_103
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f879,f872,f827,f2349]) ).
fof(f2349,plain,
( spl13_237
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_237])]) ).
fof(f872,plain,
( spl13_108
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X4,X5,X1,X2,X3,X0) = k7_relset_1(X4,X4,X4,X2,k6_relat_1(X4),k7_relset_1(X4,X5,X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).
fof(f879,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,k9_relset_2(X3,X5,X4,X6,X7),X0))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X3,X5)))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,X4))) )
| ~ spl13_103
| ~ spl13_108 ),
inference(resolution,[],[f873,f828]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X4,X5,X1,X2,X3,X0) = k7_relset_1(X4,X4,X4,X2,k6_relat_1(X4),k7_relset_1(X4,X5,X1,X2,X3,X0)) )
| ~ spl13_108 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f2329,plain,
( spl13_236
| ~ spl13_99
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f889,f876,f778,f2327]) ).
fof(f889,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0),k6_relat_1(X2))
| ~ m1_relset_1(X7,X3,X5)
| ~ m1_relset_1(X8,X6,X4) )
| ~ spl13_99
| ~ spl13_109 ),
inference(resolution,[],[f877,f779]) ).
fof(f2321,plain,
( spl13_235
| ~ spl13_99
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f881,f872,f778,f2319]) ).
fof(f881,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,k7_relset_1(X3,X5,X6,X4,X7,X8),X0))
| ~ m1_relset_1(X7,X3,X5)
| ~ m1_relset_1(X8,X6,X4) )
| ~ spl13_99
| ~ spl13_108 ),
inference(resolution,[],[f873,f779]) ).
fof(f2290,plain,
( spl13_234
| ~ spl13_57
| ~ spl13_103 ),
inference(avatar_split_clause,[],[f838,f827,f480,f2288]) ).
fof(f480,plain,
( spl13_57
<=> ! [X3,X4,X0,X5,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).
fof(f838,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X5,X6,X1,X4,X7,k9_relset_2(X1,X2,X4,X0,X3)) = k5_relat_1(X7,k9_relset_2(X1,X2,X4,X0,X3))
| ~ m1_relset_1(X7,X5,X6) )
| ~ spl13_57
| ~ spl13_103 ),
inference(resolution,[],[f828,f481]) ).
fof(f481,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X4,X0,X1) )
| ~ spl13_57 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f2286,plain,
( spl13_233
| ~ spl13_100
| ~ spl13_103 ),
inference(avatar_split_clause,[],[f835,f827,f794,f2284]) ).
fof(f794,plain,
( spl13_100
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,X4,sK7(X2,X3)) = k5_relat_1(X4,sK7(X2,X3))
| ~ m1_relset_1(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f835,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,X5,X6,k9_relset_2(X1,X2,X4,X0,X3),sK7(X5,X6)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK7(X5,X6)) )
| ~ spl13_100
| ~ spl13_103 ),
inference(resolution,[],[f828,f795]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,sK7(X2,X3)) = k5_relat_1(X4,sK7(X2,X3)) )
| ~ spl13_100 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f2282,plain,
( spl13_232
| ~ spl13_101
| ~ spl13_103 ),
inference(avatar_split_clause,[],[f834,f827,f798,f2280]) ).
fof(f798,plain,
( spl13_101
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_1(X0,X1,X2,X3,X4,sK9(X2,X3)) = k5_relat_1(X4,sK9(X2,X3))
| ~ m1_relset_1(X4,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).
fof(f834,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,X5,X6,k9_relset_2(X1,X2,X4,X0,X3),sK9(X5,X6)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK9(X5,X6)) )
| ~ spl13_101
| ~ spl13_103 ),
inference(resolution,[],[f828,f799]) ).
fof(f799,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,sK9(X2,X3)) = k5_relat_1(X4,sK9(X2,X3)) )
| ~ spl13_101 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f2260,plain,
( spl13_231
| ~ spl13_36
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f911,f900,f343,f2258]) ).
fof(f900,plain,
( spl13_111
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| k9_relset_2(X4,X1,X2,X3,X0) = k7_relset_1(X4,X2,X2,X2,k9_relset_2(X4,X1,X2,X3,X0),k6_relat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).
fof(f911,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0),k6_relat_1(X2))
| v1_xboole_0(k2_zfmisc_1(X3,X1)) )
| ~ spl13_36
| ~ spl13_111 ),
inference(resolution,[],[f901,f344]) ).
fof(f901,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X4,X1,X2,X3,X0) = k7_relset_1(X4,X2,X2,X2,k9_relset_2(X4,X1,X2,X3,X0),k6_relat_1(X2)) )
| ~ spl13_111 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f2252,plain,
( spl13_230
| ~ spl13_36
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f905,f896,f343,f2250]) ).
fof(f896,plain,
( spl13_110
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| k9_relset_2(X4,X1,X2,X3,X0) = k7_relset_1(X4,X4,X4,X2,k6_relat_1(X4),k9_relset_2(X4,X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).
fof(f905,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK3(k2_zfmisc_1(X3,X1)),X0))
| v1_xboole_0(k2_zfmisc_1(X3,X1)) )
| ~ spl13_36
| ~ spl13_110 ),
inference(resolution,[],[f897,f344]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X4,X1,X2,X3,X0) = k7_relset_1(X4,X4,X4,X2,k6_relat_1(X4),k9_relset_2(X4,X1,X2,X3,X0)) )
| ~ spl13_110 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f2212,plain,
( spl13_229
| ~ spl13_98
| ~ spl13_103 ),
inference(avatar_split_clause,[],[f836,f827,f768,f2210]) ).
fof(f768,plain,
( spl13_98
<=> ! [X0,X3,X2,X1] :
( k7_relset_1(X0,X1,X2,X2,X3,sK6(X2)) = k5_relat_1(X3,sK6(X2))
| ~ m1_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).
fof(f836,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| k7_relset_1(X1,X4,X5,X5,k9_relset_2(X1,X2,X4,X0,X3),sK6(X5)) = k5_relat_1(k9_relset_2(X1,X2,X4,X0,X3),sK6(X5)) )
| ~ spl13_98
| ~ spl13_103 ),
inference(resolution,[],[f828,f769]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X0,X1)
| k7_relset_1(X0,X1,X2,X2,X3,sK6(X2)) = k5_relat_1(X3,sK6(X2)) )
| ~ spl13_98 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f2208,plain,
( spl13_228
| ~ spl13_99
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f809,f798,f778,f2206]) ).
fof(f809,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK9(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK9(X2,X3))
| ~ m1_relset_1(X6,X0,X4)
| ~ m1_relset_1(X7,X5,X1) )
| ~ spl13_99
| ~ spl13_101 ),
inference(resolution,[],[f799,f779]) ).
fof(f2204,plain,
( spl13_227
| ~ spl13_99
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f802,f794,f778,f2202]) ).
fof(f802,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,k7_relset_1(X0,X4,X5,X1,X6,X7),sK7(X2,X3)) = k5_relat_1(k7_relset_1(X0,X4,X5,X1,X6,X7),sK7(X2,X3))
| ~ m1_relset_1(X6,X0,X4)
| ~ m1_relset_1(X7,X5,X1) )
| ~ spl13_99
| ~ spl13_100 ),
inference(resolution,[],[f795,f779]) ).
fof(f2200,plain,
( spl13_226
| ~ spl13_57
| ~ spl13_99 ),
inference(avatar_split_clause,[],[f783,f778,f480,f2198]) ).
fof(f783,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X6,X7,X1,X5,X8,k7_relset_1(X1,X2,X4,X5,X0,X3)) = k5_relat_1(X8,k7_relset_1(X1,X2,X4,X5,X0,X3))
| ~ m1_relset_1(X8,X6,X7) )
| ~ spl13_57
| ~ spl13_99 ),
inference(resolution,[],[f779,f481]) ).
fof(f2171,plain,
( spl13_225
| ~ spl13_20
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f912,f900,f271,f2169]) ).
fof(f912,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0),k6_relat_1(X2)) )
| ~ spl13_20
| ~ spl13_111 ),
inference(resolution,[],[f901,f272]) ).
fof(f2167,plain,
( spl13_224
| ~ spl13_20
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f906,f896,f271,f2165]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X3,X1))),X0)) )
| ~ spl13_20
| ~ spl13_110 ),
inference(resolution,[],[f897,f272]) ).
fof(f2154,plain,
( spl13_223
| ~ spl13_98
| ~ spl13_99 ),
inference(avatar_split_clause,[],[f781,f778,f768,f2152]) ).
fof(f781,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X1,X5,X6,X6,k7_relset_1(X1,X2,X4,X5,X0,X3),sK6(X6)) = k5_relat_1(k7_relset_1(X1,X2,X4,X5,X0,X3),sK6(X6)) )
| ~ spl13_98
| ~ spl13_99 ),
inference(resolution,[],[f779,f769]) ).
fof(f2132,plain,
( spl13_222
| ~ spl13_37
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f910,f900,f347,f2130]) ).
fof(f910,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,X4,X0),k6_relat_1(X2))
| ~ r1_tarski(X4,k2_zfmisc_1(X3,X1)) )
| ~ spl13_37
| ~ spl13_111 ),
inference(resolution,[],[f901,f348]) ).
fof(f2128,plain,
( spl13_221
| ~ spl13_37
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f904,f896,f347,f2126]) ).
fof(f904,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,X4,X0))
| ~ r1_tarski(X4,k2_zfmisc_1(X3,X1)) )
| ~ spl13_37
| ~ spl13_110 ),
inference(resolution,[],[f897,f348]) ).
fof(f2115,plain,
( spl13_220
| ~ spl13_107
| ~ spl13_118
| ~ spl13_123
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1280,f1244,f1017,f963,f867,f2113]) ).
fof(f2113,plain,
( spl13_220
<=> ! [X0] : sK11 = k9_relset_2(X0,sK0,sK1,sK11,k5_relat_1(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_220])]) ).
fof(f867,plain,
( spl13_107
<=> m2_relset_1(k5_relat_1(sK2,sK2),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).
fof(f963,plain,
( spl13_118
<=> v1_relat_1(k5_relat_1(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).
fof(f1280,plain,
( ! [X0] : sK11 = k9_relset_2(X0,sK0,sK1,sK11,k5_relat_1(sK2,sK2))
| ~ spl13_107
| ~ spl13_118
| ~ spl13_123
| ~ spl13_149 ),
inference(forward_demodulation,[],[f1272,f1028]) ).
fof(f1028,plain,
( sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK2))
| ~ spl13_118
| ~ spl13_123 ),
inference(resolution,[],[f1018,f965]) ).
fof(f965,plain,
( v1_relat_1(k5_relat_1(sK2,sK2))
| ~ spl13_118 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1272,plain,
( ! [X0] : k5_relat_1(sK11,k5_relat_1(sK2,sK2)) = k9_relset_2(X0,sK0,sK1,sK11,k5_relat_1(sK2,sK2))
| ~ spl13_107
| ~ spl13_149 ),
inference(resolution,[],[f1245,f869]) ).
fof(f869,plain,
( m2_relset_1(k5_relat_1(sK2,sK2),sK0,sK1)
| ~ spl13_107 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f1975,plain,
( spl13_219
| ~ spl13_51
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f909,f900,f437,f1973]) ).
fof(f909,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,X4,X0),k6_relat_1(X2))
| ~ m2_relset_1(X4,X3,X1) )
| ~ spl13_51
| ~ spl13_111 ),
inference(resolution,[],[f901,f438]) ).
fof(f1971,plain,
( spl13_218
| ~ spl13_51
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f903,f896,f437,f1969]) ).
fof(f903,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,X4,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,X4,X0))
| ~ m2_relset_1(X4,X3,X1) )
| ~ spl13_51
| ~ spl13_110 ),
inference(resolution,[],[f897,f438]) ).
fof(f1967,plain,
( spl13_217
| ~ spl13_107
| ~ spl13_118
| ~ spl13_124
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1264,f1235,f1021,f963,f867,f1965]) ).
fof(f1965,plain,
( spl13_217
<=> ! [X0] : sK11 = k9_relset_2(sK0,sK1,X0,k5_relat_1(sK2,sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_217])]) ).
fof(f1264,plain,
( ! [X0] : sK11 = k9_relset_2(sK0,sK1,X0,k5_relat_1(sK2,sK2),sK11)
| ~ spl13_107
| ~ spl13_118
| ~ spl13_124
| ~ spl13_148 ),
inference(forward_demodulation,[],[f1256,f1048]) ).
fof(f1048,plain,
( sK11 = k5_relat_1(k5_relat_1(sK2,sK2),sK11)
| ~ spl13_118
| ~ spl13_124 ),
inference(resolution,[],[f1022,f965]) ).
fof(f1256,plain,
( ! [X0] : k5_relat_1(k5_relat_1(sK2,sK2),sK11) = k9_relset_2(sK0,sK1,X0,k5_relat_1(sK2,sK2),sK11)
| ~ spl13_107
| ~ spl13_148 ),
inference(resolution,[],[f1236,f869]) ).
fof(f1963,plain,
( spl13_216
| ~ spl13_34
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f893,f876,f334,f1961]) ).
fof(f893,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0),k6_relat_1(X2)) )
| ~ spl13_34
| ~ spl13_109 ),
inference(resolution,[],[f877,f335]) ).
fof(f1959,plain,
( spl13_215
| ~ spl13_70
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f892,f876,f567,f1957]) ).
fof(f892,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0),k6_relat_1(X2)) )
| ~ spl13_70
| ~ spl13_109 ),
inference(resolution,[],[f877,f568]) ).
fof(f1955,plain,
( spl13_214
| ~ spl13_32
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f891,f876,f326,f1953]) ).
fof(f891,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0),k6_relat_1(X2)) )
| ~ spl13_32
| ~ spl13_109 ),
inference(resolution,[],[f877,f327]) ).
fof(f1951,plain,
( spl13_213
| ~ spl13_34
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f885,f872,f334,f1949]) ).
fof(f885,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK9(X3,X4),X0)) )
| ~ spl13_34
| ~ spl13_108 ),
inference(resolution,[],[f873,f335]) ).
fof(f1947,plain,
( spl13_212
| ~ spl13_70
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f884,f872,f567,f1945]) ).
fof(f884,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK8(X3,X4),X0)) )
| ~ spl13_70
| ~ spl13_108 ),
inference(resolution,[],[f873,f568]) ).
fof(f1943,plain,
( spl13_211
| ~ spl13_32
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f883,f872,f326,f1941]) ).
fof(f883,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X4,X1,X2,sK7(X3,X4),X0)) )
| ~ spl13_32
| ~ spl13_108 ),
inference(resolution,[],[f873,f327]) ).
fof(f1939,plain,
( spl13_210
| ~ spl13_36
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f862,f857,f343,f1937]) ).
fof(f862,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_36
| ~ spl13_106 ),
inference(resolution,[],[f858,f344]) ).
fof(f1890,plain,
( spl13_209
| ~ spl13_91
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f921,f867,f719,f1888]) ).
fof(f1888,plain,
( spl13_209
<=> ! [X0] :
( ~ r2_hidden(X0,k5_relat_1(sK2,sK2))
| m1_subset_1(X0,k2_zfmisc_1(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_209])]) ).
fof(f719,plain,
( spl13_91
<=> ! [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,[spl13_91])]) ).
fof(f921,plain,
( ! [X0] :
( ~ r2_hidden(X0,k5_relat_1(sK2,sK2))
| m1_subset_1(X0,k2_zfmisc_1(sK0,sK1)) )
| ~ spl13_91
| ~ spl13_107 ),
inference(resolution,[],[f869,f720]) ).
fof(f720,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_91 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f1835,plain,
( spl13_208
| ~ spl13_27
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f890,f876,f302,f1833]) ).
fof(f890,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,sK6(X3),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X3,X1,X2,sK6(X3),X0),k6_relat_1(X2)) )
| ~ spl13_27
| ~ spl13_109 ),
inference(resolution,[],[f877,f303]) ).
fof(f1831,plain,
( spl13_207
| ~ spl13_64
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f888,f876,f529,f1829]) ).
fof(f888,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0) = k7_relset_1(X3,X2,X2,X2,k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0),k6_relat_1(X2)) )
| ~ spl13_64
| ~ spl13_109 ),
inference(resolution,[],[f877,f530]) ).
fof(f1827,plain,
( spl13_206
| ~ spl13_27
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f882,f872,f302,f1825]) ).
fof(f882,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,sK6(X3),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X3,X1,X2,sK6(X3),X0)) )
| ~ spl13_27
| ~ spl13_108 ),
inference(resolution,[],[f873,f303]) ).
fof(f1823,plain,
( spl13_205
| ~ spl13_64
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f880,f872,f529,f1821]) ).
fof(f880,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0)) )
| ~ spl13_64
| ~ spl13_108 ),
inference(resolution,[],[f873,f530]) ).
fof(f1819,plain,
( spl13_204
| ~ spl13_20
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f863,f857,f271,f1817]) ).
fof(f863,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_20
| ~ spl13_106 ),
inference(resolution,[],[f858,f272]) ).
fof(f1815,plain,
( spl13_203
| ~ spl13_36
| ~ spl13_105 ),
inference(avatar_split_clause,[],[f852,f847,f343,f1813]) ).
fof(f852,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_36
| ~ spl13_105 ),
inference(resolution,[],[f848,f344]) ).
fof(f1779,plain,
( spl13_202
| ~ spl13_26
| ~ spl13_49
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f914,f900,f410,f298,f1777]) ).
fof(f914,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X3,X1,X2,sK11,X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK11,X0),k6_relat_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_111 ),
inference(forward_demodulation,[],[f913,f411]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK5(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X2,X2,X2,k9_relset_2(X3,X1,X2,sK5(k2_zfmisc_1(X3,X1)),X0),k6_relat_1(X2)) )
| ~ spl13_26
| ~ spl13_111 ),
inference(resolution,[],[f901,f299]) ).
fof(f1775,plain,
( spl13_201
| ~ spl13_26
| ~ spl13_49
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f908,f896,f410,f298,f1773]) ).
fof(f908,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X3,X1,X2,sK11,X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK11,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_110 ),
inference(forward_demodulation,[],[f907,f411]) ).
fof(f907,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k9_relset_2(X3,X1,X2,sK5(k2_zfmisc_1(X3,X1)),X0) = k7_relset_1(X3,X3,X3,X2,k6_relat_1(X3),k9_relset_2(X3,X1,X2,sK5(k2_zfmisc_1(X3,X1)),X0)) )
| ~ spl13_26
| ~ spl13_110 ),
inference(resolution,[],[f897,f299]) ).
fof(f1771,plain,
( spl13_200
| ~ spl13_20
| ~ spl13_105 ),
inference(avatar_split_clause,[],[f853,f847,f271,f1769]) ).
fof(f853,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_20
| ~ spl13_105 ),
inference(resolution,[],[f848,f272]) ).
fof(f1760,plain,
( spl13_199
| ~ spl13_37
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f861,f857,f347,f1758]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_37
| ~ spl13_106 ),
inference(resolution,[],[f858,f348]) ).
fof(f1756,plain,
( spl13_198
| ~ spl13_36
| ~ spl13_104 ),
inference(avatar_split_clause,[],[f842,f831,f343,f1754]) ).
fof(f842,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_36
| ~ spl13_104 ),
inference(resolution,[],[f832,f344]) ).
fof(f1749,plain,
( spl13_197
| ~ spl13_58
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f726,f719,f489,f1747]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X0,k9_relset_2(X1,X2,X3,X4,X5))
| m1_subset_1(X0,k2_zfmisc_1(X1,X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl13_58
| ~ spl13_91 ),
inference(resolution,[],[f720,f490]) ).
fof(f1727,plain,
( spl13_196
| ~ spl13_51
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f860,f857,f437,f1725]) ).
fof(f860,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_51
| ~ spl13_106 ),
inference(resolution,[],[f858,f438]) ).
fof(f1723,plain,
( spl13_195
| ~ spl13_36
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f822,f817,f343,f1721]) ).
fof(f822,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),X3)
| ~ m2_relset_1(X3,X1,X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_36
| ~ spl13_102 ),
inference(resolution,[],[f818,f344]) ).
fof(f1717,plain,
( spl13_194
| ~ spl13_37
| ~ spl13_105 ),
inference(avatar_split_clause,[],[f851,f847,f347,f1715]) ).
fof(f851,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_37
| ~ spl13_105 ),
inference(resolution,[],[f848,f348]) ).
fof(f1713,plain,
( spl13_193
| ~ spl13_20
| ~ spl13_104 ),
inference(avatar_split_clause,[],[f843,f831,f271,f1711]) ).
fof(f843,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_20
| ~ spl13_104 ),
inference(resolution,[],[f832,f272]) ).
fof(f1700,plain,
( spl13_192
| ~ spl13_1
| ~ spl13_131
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1282,f1244,f1091,f186,f1698]) ).
fof(f1698,plain,
( spl13_192
<=> ! [X0] : sK11 = k9_relset_2(X0,sK0,sK1,sK11,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_192])]) ).
fof(f1091,plain,
( spl13_131
<=> sK11 = k5_relat_1(sK11,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).
fof(f1282,plain,
( ! [X0] : sK11 = k9_relset_2(X0,sK0,sK1,sK11,sK2)
| ~ spl13_1
| ~ spl13_131
| ~ spl13_149 ),
inference(forward_demodulation,[],[f1275,f1093]) ).
fof(f1093,plain,
( sK11 = k5_relat_1(sK11,sK2)
| ~ spl13_131 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1275,plain,
( ! [X0] : k5_relat_1(sK11,sK2) = k9_relset_2(X0,sK0,sK1,sK11,sK2)
| ~ spl13_1
| ~ spl13_149 ),
inference(resolution,[],[f1245,f188]) ).
fof(f1654,plain,
( spl13_191
| ~ spl13_51
| ~ spl13_105 ),
inference(avatar_split_clause,[],[f850,f847,f437,f1652]) ).
fof(f850,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_51
| ~ spl13_105 ),
inference(resolution,[],[f848,f438]) ).
fof(f1650,plain,
( spl13_190
| ~ spl13_20
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f823,f817,f271,f1648]) ).
fof(f823,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_20
| ~ spl13_102 ),
inference(resolution,[],[f818,f272]) ).
fof(f1646,plain,
( spl13_189
| ~ spl13_56
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f728,f719,f473,f1644]) ).
fof(f728,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2_hidden(X0,k7_relset_1(X1,X2,X3,X4,X5,X6))
| m1_subset_1(X0,k2_zfmisc_1(X1,X4))
| ~ m1_relset_1(X6,X3,X4)
| ~ m1_relset_1(X5,X1,X2) )
| ~ spl13_56
| ~ spl13_91 ),
inference(resolution,[],[f720,f474]) ).
fof(f1605,plain,
( spl13_188
| ~ spl13_26
| ~ spl13_49
| ~ spl13_106 ),
inference(avatar_split_clause,[],[f865,f857,f410,f298,f1603]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK11,sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_106 ),
inference(forward_demodulation,[],[f864,f411]) ).
fof(f864,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(sK5(k2_zfmisc_1(X0,X1)),sK3(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_26
| ~ spl13_106 ),
inference(resolution,[],[f858,f299]) ).
fof(f1601,plain,
( spl13_187
| ~ spl13_37
| ~ spl13_104 ),
inference(avatar_split_clause,[],[f841,f831,f347,f1599]) ).
fof(f841,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_37
| ~ spl13_104 ),
inference(resolution,[],[f832,f348]) ).
fof(f1597,plain,
( spl13_186
| ~ spl13_1
| ~ spl13_137
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1266,f1235,f1146,f186,f1595]) ).
fof(f1595,plain,
( spl13_186
<=> ! [X0] : sK11 = k9_relset_2(sK0,sK1,X0,sK2,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_186])]) ).
fof(f1146,plain,
( spl13_137
<=> sK11 = k5_relat_1(sK2,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_137])]) ).
fof(f1266,plain,
( ! [X0] : sK11 = k9_relset_2(sK0,sK1,X0,sK2,sK11)
| ~ spl13_1
| ~ spl13_137
| ~ spl13_148 ),
inference(forward_demodulation,[],[f1259,f1148]) ).
fof(f1148,plain,
( sK11 = k5_relat_1(sK2,sK11)
| ~ spl13_137 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1259,plain,
( ! [X0] : k5_relat_1(sK2,sK11) = k9_relset_2(sK0,sK1,X0,sK2,sK11)
| ~ spl13_1
| ~ spl13_148 ),
inference(resolution,[],[f1236,f188]) ).
fof(f1593,plain,
( spl13_185
| ~ spl13_36
| ~ spl13_97 ),
inference(avatar_split_clause,[],[f763,f758,f343,f1591]) ).
fof(f763,plain,
( ! [X2,X0,X1] :
( k9_relset_2(X0,X1,X2,sK3(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK3(k2_zfmisc_1(X0,X1)),sK11)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_36
| ~ spl13_97 ),
inference(resolution,[],[f759,f344]) ).
fof(f1550,plain,
( spl13_184
| ~ spl13_51
| ~ spl13_104 ),
inference(avatar_split_clause,[],[f840,f831,f437,f1548]) ).
fof(f840,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_51
| ~ spl13_104 ),
inference(resolution,[],[f832,f438]) ).
fof(f1546,plain,
( spl13_183
| ~ spl13_37
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f821,f817,f347,f1544]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_relset_1(X4,X1,X2)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_37
| ~ spl13_102 ),
inference(resolution,[],[f818,f348]) ).
fof(f1542,plain,
( spl13_182
| ~ spl13_34
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f813,f798,f334,f1540]) ).
fof(f813,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK9(X2,X3)) = k5_relat_1(sK9(X0,X1),sK9(X2,X3))
| ~ spl13_34
| ~ spl13_101 ),
inference(resolution,[],[f799,f335]) ).
fof(f1538,plain,
( spl13_181
| ~ spl13_70
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f812,f798,f567,f1536]) ).
fof(f812,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK9(X2,X3)) = k5_relat_1(sK8(X0,X1),sK9(X2,X3))
| ~ spl13_70
| ~ spl13_101 ),
inference(resolution,[],[f799,f568]) ).
fof(f1534,plain,
( spl13_180
| ~ spl13_32
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f811,f798,f326,f1532]) ).
fof(f811,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK9(X2,X3)) = k5_relat_1(sK7(X0,X1),sK9(X2,X3))
| ~ spl13_32
| ~ spl13_101 ),
inference(resolution,[],[f799,f327]) ).
fof(f1530,plain,
( spl13_179
| ~ spl13_34
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f806,f794,f334,f1528]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK9(X0,X1),sK7(X2,X3)) = k5_relat_1(sK9(X0,X1),sK7(X2,X3))
| ~ spl13_34
| ~ spl13_100 ),
inference(resolution,[],[f795,f335]) ).
fof(f1526,plain,
( spl13_178
| ~ spl13_70
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f805,f794,f567,f1524]) ).
fof(f805,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK8(X0,X1),sK7(X2,X3)) = k5_relat_1(sK8(X0,X1),sK7(X2,X3))
| ~ spl13_70
| ~ spl13_100 ),
inference(resolution,[],[f795,f568]) ).
fof(f1522,plain,
( spl13_177
| ~ spl13_32
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f804,f794,f326,f1520]) ).
fof(f804,plain,
( ! [X2,X3,X0,X1] : k7_relset_1(X0,X1,X2,X3,sK7(X0,X1),sK7(X2,X3)) = k5_relat_1(sK7(X0,X1),sK7(X2,X3))
| ~ spl13_32
| ~ spl13_100 ),
inference(resolution,[],[f795,f327]) ).
fof(f1518,plain,
( spl13_176
| ~ spl13_58
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f595,f579,f489,f1516]) ).
fof(f579,plain,
( spl13_73
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f595,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_relat_1(k9_relset_2(X0,X1,X2,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_58
| ~ spl13_73 ),
inference(resolution,[],[f580,f490]) ).
fof(f580,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl13_73 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f1509,plain,
( spl13_175
| ~ spl13_57
| ~ spl13_70 ),
inference(avatar_split_clause,[],[f587,f567,f480,f1507]) ).
fof(f587,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_1(X0,X1,X2,X3,X4,sK8(X2,X3)) = k5_relat_1(X4,sK8(X2,X3))
| ~ m1_relset_1(X4,X0,X1) )
| ~ spl13_57
| ~ spl13_70 ),
inference(resolution,[],[f568,f481]) ).
fof(f1494,plain,
( spl13_174
| ~ spl13_69
| ~ spl13_123
| ~ spl13_173 ),
inference(avatar_split_clause,[],[f1490,f1487,f1017,f558,f1492]) ).
fof(f1487,plain,
( spl13_173
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_173])]) ).
fof(f1490,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_69
| ~ spl13_123
| ~ spl13_173 ),
inference(forward_demodulation,[],[f1488,f1033]) ).
fof(f1488,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_173 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1489,plain,
( spl13_173
| ~ spl13_26
| ~ spl13_49
| ~ spl13_105 ),
inference(avatar_split_clause,[],[f855,f847,f410,f298,f1487]) ).
fof(f855,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK11,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_26
| ~ spl13_49
| ~ spl13_105 ),
inference(forward_demodulation,[],[f854,f411]) ).
fof(f854,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(sK5(k2_zfmisc_1(X0,X1)),sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ spl13_26
| ~ spl13_105 ),
inference(resolution,[],[f848,f299]) ).
fof(f1485,plain,
( spl13_172
| ~ spl13_51
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f820,f817,f437,f1483]) ).
fof(f820,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_relset_1(X4,X1,X2)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_51
| ~ spl13_102 ),
inference(resolution,[],[f818,f438]) ).
fof(f1479,plain,
( spl13_171
| ~ spl13_69
| ~ spl13_124
| ~ spl13_170 ),
inference(avatar_split_clause,[],[f1475,f1472,f1021,f558,f1477]) ).
fof(f1472,plain,
( spl13_170
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_170])]) ).
fof(f1475,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11)
| ~ spl13_69
| ~ spl13_124
| ~ spl13_170 ),
inference(forward_demodulation,[],[f1473,f1053]) ).
fof(f1473,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11)
| ~ spl13_170 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1474,plain,
( spl13_170
| ~ spl13_20
| ~ spl13_97 ),
inference(avatar_split_clause,[],[f764,f758,f271,f1472]) ).
fof(f764,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11) = k5_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),sK11)
| ~ spl13_20
| ~ spl13_97 ),
inference(resolution,[],[f759,f272]) ).
fof(f1467,plain,
( spl13_169
| ~ spl13_118
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1048,f1021,f963,f1464]) ).
fof(f1464,plain,
( spl13_169
<=> sK11 = k5_relat_1(k5_relat_1(sK2,sK2),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_169])]) ).
fof(f1431,plain,
( spl13_168
| ~ spl13_27
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f810,f798,f302,f1429]) ).
fof(f810,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK9(X1,X2)) = k5_relat_1(sK6(X0),sK9(X1,X2))
| ~ spl13_27
| ~ spl13_101 ),
inference(resolution,[],[f799,f303]) ).
fof(f1427,plain,
( spl13_167
| ~ spl13_64
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f808,f798,f529,f1425]) ).
fof(f808,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK9(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK9(X1,X2))
| ~ spl13_64
| ~ spl13_101 ),
inference(resolution,[],[f799,f530]) ).
fof(f1423,plain,
( spl13_166
| ~ spl13_27
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f803,f794,f302,f1421]) ).
fof(f803,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,sK6(X0),sK7(X1,X2)) = k5_relat_1(sK6(X0),sK7(X1,X2))
| ~ spl13_27
| ~ spl13_100 ),
inference(resolution,[],[f795,f303]) ).
fof(f1419,plain,
( spl13_165
| ~ spl13_118
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1028,f1017,f963,f1416]) ).
fof(f1416,plain,
( spl13_165
<=> sK11 = k5_relat_1(sK11,k5_relat_1(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_165])]) ).
fof(f1414,plain,
( spl13_164
| ~ spl13_64
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f801,f794,f529,f1412]) ).
fof(f801,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X0,X1,X2,k6_relat_1(X0),sK7(X1,X2)) = k5_relat_1(k6_relat_1(X0),sK7(X1,X2))
| ~ spl13_64
| ~ spl13_100 ),
inference(resolution,[],[f795,f530]) ).
fof(f1410,plain,
( spl13_163
| ~ spl13_34
| ~ spl13_98 ),
inference(avatar_split_clause,[],[f775,f768,f334,f1408]) ).
fof(f775,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK9(X0,X1),sK6(X2)) = k5_relat_1(sK9(X0,X1),sK6(X2))
| ~ spl13_34
| ~ spl13_98 ),
inference(resolution,[],[f769,f335]) ).
fof(f1406,plain,
( spl13_162
| ~ spl13_70
| ~ spl13_98 ),
inference(avatar_split_clause,[],[f774,f768,f567,f1404]) ).
fof(f774,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK8(X0,X1),sK6(X2)) = k5_relat_1(sK8(X0,X1),sK6(X2))
| ~ spl13_70
| ~ spl13_98 ),
inference(resolution,[],[f769,f568]) ).
fof(f1402,plain,
( spl13_161
| ~ spl13_32
| ~ spl13_98 ),
inference(avatar_split_clause,[],[f773,f768,f326,f1400]) ).
fof(f773,plain,
( ! [X2,X0,X1] : k7_relset_1(X0,X1,X2,X2,sK7(X0,X1),sK6(X2)) = k5_relat_1(sK7(X0,X1),sK6(X2))
| ~ spl13_32
| ~ spl13_98 ),
inference(resolution,[],[f769,f327]) ).
fof(f1398,plain,
( spl13_160
| ~ spl13_57
| ~ spl13_64 ),
inference(avatar_split_clause,[],[f548,f529,f480,f1396]) ).
fof(f548,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_1(X0,X1,X2,X2,X3,k6_relat_1(X2)) = k5_relat_1(X3,k6_relat_1(X2))
| ~ m1_relset_1(X3,X0,X1) )
| ~ spl13_57
| ~ spl13_64 ),
inference(resolution,[],[f530,f481]) ).
fof(f1373,plain,
( spl13_159
| ~ spl13_56
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f597,f579,f473,f1371]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( v1_relat_1(k7_relset_1(X0,X1,X2,X3,X4,X5))
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) )
| ~ spl13_56
| ~ spl13_73 ),
inference(resolution,[],[f580,f474]) ).
fof(f1323,plain,
( spl13_158
| ~ spl13_26
| ~ spl13_49
| ~ spl13_104 ),
inference(avatar_split_clause,[],[f845,f831,f410,f298,f1321]) ).
fof(f845,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k5_relat_1(sK11,X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_104 ),
inference(forward_demodulation,[],[f844,f411]) ).
fof(f844,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK5(k2_zfmisc_1(X0,X1)),X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl13_26
| ~ spl13_104 ),
inference(resolution,[],[f832,f299]) ).
fof(f1319,plain,
( spl13_157
| ~ spl13_27
| ~ spl13_98 ),
inference(avatar_split_clause,[],[f772,f768,f302,f1317]) ).
fof(f772,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,sK6(X0),sK6(X1)) = k5_relat_1(sK6(X0),sK6(X1))
| ~ spl13_27
| ~ spl13_98 ),
inference(resolution,[],[f769,f303]) ).
fof(f1315,plain,
( spl13_156
| ~ spl13_64
| ~ spl13_98 ),
inference(avatar_split_clause,[],[f771,f768,f529,f1313]) ).
fof(f771,plain,
( ! [X0,X1] : k7_relset_1(X0,X0,X1,X1,k6_relat_1(X0),sK6(X1)) = k5_relat_1(k6_relat_1(X0),sK6(X1))
| ~ spl13_64
| ~ spl13_98 ),
inference(resolution,[],[f769,f530]) ).
fof(f1311,plain,
( spl13_155
| ~ spl13_37
| ~ spl13_97 ),
inference(avatar_split_clause,[],[f762,f758,f347,f1309]) ).
fof(f762,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl13_37
| ~ spl13_97 ),
inference(resolution,[],[f759,f348]) ).
fof(f1307,plain,
( spl13_154
| ~ spl13_30
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f751,f747,f318,f1305]) ).
fof(f751,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) )
| ~ spl13_30
| ~ spl13_95 ),
inference(resolution,[],[f748,f319]) ).
fof(f1303,plain,
( spl13_153
| ~ spl13_47
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f925,f867,f393,f1300]) ).
fof(f1300,plain,
( spl13_153
<=> m1_relset_1(k5_relat_1(sK2,sK2),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_153])]) ).
fof(f393,plain,
( spl13_47
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f925,plain,
( m1_relset_1(k5_relat_1(sK2,sK2),sK0,sK1)
| ~ spl13_47
| ~ spl13_107 ),
inference(resolution,[],[f869,f394]) ).
fof(f394,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f1298,plain,
( spl13_152
| ~ spl13_43
| ~ spl13_89 ),
inference(avatar_split_clause,[],[f709,f695,f377,f1296]) ).
fof(f709,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(X0)
| k5_relat_1(X1,X0) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) )
| ~ spl13_43
| ~ spl13_89 ),
inference(resolution,[],[f696,f378]) ).
fof(f1294,plain,
( spl13_151
| ~ spl13_41
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f703,f691,f367,f1292]) ).
fof(f703,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(X0)
| k5_relat_1(X0,X1) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X3)
| ~ v1_xboole_0(X2) )
| ~ spl13_41
| ~ spl13_88 ),
inference(resolution,[],[f692,f368]) ).
fof(f1290,plain,
( spl13_150
| ~ spl13_43
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f702,f691,f377,f1288]) ).
fof(f702,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(X0)
| k5_relat_1(X0,X1) = k5_relat_1(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X3) )
| ~ spl13_43
| ~ spl13_88 ),
inference(resolution,[],[f692,f378]) ).
fof(f1246,plain,
( spl13_149
| ~ spl13_26
| ~ spl13_49
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f825,f817,f410,f298,f1244]) ).
fof(f825,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK11,X3) = k5_relat_1(sK11,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_102 ),
inference(forward_demodulation,[],[f824,f411]) ).
fof(f824,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)),X3) = k5_relat_1(sK5(k2_zfmisc_1(X0,X1)),X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_26
| ~ spl13_102 ),
inference(resolution,[],[f818,f299]) ).
fof(f1237,plain,
( spl13_148
| ~ spl13_51
| ~ spl13_97 ),
inference(avatar_split_clause,[],[f761,f758,f437,f1235]) ).
fof(f761,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl13_51
| ~ spl13_97 ),
inference(resolution,[],[f759,f438]) ).
fof(f1233,plain,
( spl13_147
| ~ spl13_54
| ~ spl13_72 ),
inference(avatar_split_clause,[],[f593,f575,f459,f1231]) ).
fof(f1231,plain,
( spl13_147
<=> ! [X0,X1] : sK9(X0,X1) = k7_relset_1(X0,X1,X1,X1,sK9(X0,X1),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_147])]) ).
fof(f459,plain,
( spl13_54
<=> ! [X2,X0,X1] :
( k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).
fof(f593,plain,
( ! [X0,X1] : sK9(X0,X1) = k7_relset_1(X0,X1,X1,X1,sK9(X0,X1),k6_relat_1(X1))
| ~ spl13_54
| ~ spl13_72 ),
inference(resolution,[],[f576,f460]) ).
fof(f460,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2 )
| ~ spl13_54 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f1229,plain,
( spl13_146
| ~ spl13_55
| ~ spl13_72 ),
inference(avatar_split_clause,[],[f592,f575,f463,f1227]) ).
fof(f463,plain,
( spl13_55
<=> ! [X2,X0,X1] :
( k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).
fof(f592,plain,
( ! [X0,X1] : sK9(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK9(X0,X1))
| ~ spl13_55
| ~ spl13_72 ),
inference(resolution,[],[f576,f464]) ).
fof(f464,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2 )
| ~ spl13_55 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f1225,plain,
( spl13_145
| ~ spl13_54
| ~ spl13_71 ),
inference(avatar_split_clause,[],[f590,f571,f459,f1223]) ).
fof(f1223,plain,
( spl13_145
<=> ! [X0,X1] : sK7(X0,X1) = k7_relset_1(X0,X1,X1,X1,sK7(X0,X1),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_145])]) ).
fof(f590,plain,
( ! [X0,X1] : sK7(X0,X1) = k7_relset_1(X0,X1,X1,X1,sK7(X0,X1),k6_relat_1(X1))
| ~ spl13_54
| ~ spl13_71 ),
inference(resolution,[],[f572,f460]) ).
fof(f1221,plain,
( spl13_144
| ~ spl13_55
| ~ spl13_71 ),
inference(avatar_split_clause,[],[f589,f571,f463,f1219]) ).
fof(f589,plain,
( ! [X0,X1] : sK7(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK7(X0,X1))
| ~ spl13_55
| ~ spl13_71 ),
inference(resolution,[],[f572,f464]) ).
fof(f1185,plain,
( spl13_143
| ~ spl13_41
| ~ spl13_81 ),
inference(avatar_split_clause,[],[f663,f640,f367,f1183]) ).
fof(f663,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(X0,k5_relat_1(X1,X2))
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) )
| ~ spl13_41
| ~ spl13_81 ),
inference(resolution,[],[f641,f368]) ).
fof(f1176,plain,
( spl13_142
| ~ spl13_43
| ~ spl13_81 ),
inference(avatar_split_clause,[],[f662,f640,f377,f1174]) ).
fof(f662,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(X0,k5_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) )
| ~ spl13_43
| ~ spl13_81 ),
inference(resolution,[],[f641,f378]) ).
fof(f1172,plain,
( spl13_141
| ~ spl13_41
| ~ spl13_80 ),
inference(avatar_split_clause,[],[f656,f636,f367,f1170]) ).
fof(f656,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X1,X2),X0)
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(X1) )
| ~ spl13_41
| ~ spl13_80 ),
inference(resolution,[],[f637,f368]) ).
fof(f1168,plain,
( spl13_140
| ~ spl13_43
| ~ spl13_80 ),
inference(avatar_split_clause,[],[f655,f636,f377,f1166]) ).
fof(f655,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k5_relat_1(X1,X2),X0)
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X2) )
| ~ spl13_43
| ~ spl13_80 ),
inference(resolution,[],[f637,f378]) ).
fof(f1160,plain,
( spl13_139
| ~ spl13_54
| ~ spl13_65 ),
inference(avatar_split_clause,[],[f551,f533,f459,f1158]) ).
fof(f1158,plain,
( spl13_139
<=> ! [X0] : sK6(X0) = k7_relset_1(X0,X0,X0,X0,sK6(X0),k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_139])]) ).
fof(f551,plain,
( ! [X0] : sK6(X0) = k7_relset_1(X0,X0,X0,X0,sK6(X0),k6_relat_1(X0))
| ~ spl13_54
| ~ spl13_65 ),
inference(resolution,[],[f534,f460]) ).
fof(f1156,plain,
( spl13_138
| ~ spl13_55
| ~ spl13_65 ),
inference(avatar_split_clause,[],[f550,f533,f463,f1154]) ).
fof(f550,plain,
( ! [X0] : sK6(X0) = k7_relset_1(X0,X0,X0,X0,k6_relat_1(X0),sK6(X0))
| ~ spl13_55
| ~ spl13_65 ),
inference(resolution,[],[f534,f464]) ).
fof(f1149,plain,
( spl13_137
| ~ spl13_74
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f1051,f1021,f604,f1146]) ).
fof(f1051,plain,
( sK11 = k5_relat_1(sK2,sK11)
| ~ spl13_74
| ~ spl13_124 ),
inference(resolution,[],[f1022,f606]) ).
fof(f1115,plain,
( spl13_136
| ~ spl13_3
| ~ spl13_35
| ~ spl13_123
| ~ spl13_135 ),
inference(avatar_split_clause,[],[f1111,f1108,f1017,f338,f196,f1113]) ).
fof(f1108,plain,
( spl13_135
<=> ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK11) = k5_relat_1(sK11,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_135])]) ).
fof(f1111,plain,
( ! [X2,X0,X1] : sK11 = k9_relset_2(X0,X1,X2,sK11,sK11)
| ~ spl13_3
| ~ spl13_35
| ~ spl13_123
| ~ spl13_135 ),
inference(forward_demodulation,[],[f1109,f1042]) ).
fof(f1109,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK11) = k5_relat_1(sK11,sK11)
| ~ spl13_135 ),
inference(avatar_component_clause,[],[f1108]) ).
fof(f1110,plain,
( spl13_135
| ~ spl13_26
| ~ spl13_49
| ~ spl13_97 ),
inference(avatar_split_clause,[],[f766,f758,f410,f298,f1108]) ).
fof(f766,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK11,sK11) = k5_relat_1(sK11,sK11)
| ~ spl13_26
| ~ spl13_49
| ~ spl13_97 ),
inference(forward_demodulation,[],[f765,f411]) ).
fof(f765,plain,
( ! [X2,X0,X1] : k9_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)),sK11) = k5_relat_1(sK5(k2_zfmisc_1(X0,X1)),sK11)
| ~ spl13_26
| ~ spl13_97 ),
inference(resolution,[],[f759,f299]) ).
fof(f1106,plain,
( spl13_134
| ~ spl13_72
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f733,f719,f575,f1104]) ).
fof(f733,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_72
| ~ spl13_91 ),
inference(resolution,[],[f720,f576]) ).
fof(f1102,plain,
( spl13_133
| ~ spl13_33
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f732,f719,f330,f1100]) ).
fof(f732,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK8(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_33
| ~ spl13_91 ),
inference(resolution,[],[f720,f331]) ).
fof(f1098,plain,
( spl13_132
| ~ spl13_71
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f731,f719,f571,f1096]) ).
fof(f731,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK7(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_71
| ~ spl13_91 ),
inference(resolution,[],[f720,f572]) ).
fof(f1094,plain,
( spl13_131
| ~ spl13_74
| ~ spl13_123 ),
inference(avatar_split_clause,[],[f1031,f1017,f604,f1091]) ).
fof(f1031,plain,
( sK11 = k5_relat_1(sK11,sK2)
| ~ spl13_74
| ~ spl13_123 ),
inference(resolution,[],[f1018,f606]) ).
fof(f1089,plain,
( spl13_130
| ~ spl13_30
| ~ spl13_87 ),
inference(avatar_split_clause,[],[f688,f681,f318,f1087]) ).
fof(f1087,plain,
( spl13_130
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).
fof(f681,plain,
( spl13_87
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f688,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK3(X0)) )
| ~ spl13_30
| ~ spl13_87 ),
inference(resolution,[],[f682,f319]) ).
fof(f682,plain,
( ! [X0] :
( r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl13_87 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f1085,plain,
( spl13_129
| ~ spl13_30
| ~ spl13_86 ),
inference(avatar_split_clause,[],[f685,f677,f318,f1083]) ).
fof(f685,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl13_30
| ~ spl13_86 ),
inference(resolution,[],[f678,f319]) ).
fof(f1081,plain,
( spl13_128
| ~ spl13_68
| ~ spl13_84 ),
inference(avatar_split_clause,[],[f670,f652,f554,f1079]) ).
fof(f652,plain,
( spl13_84
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK3(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).
fof(f670,plain,
( ! [X0] :
( m1_subset_1(sK4(sK3(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK3(X0)) )
| ~ spl13_68
| ~ spl13_84 ),
inference(resolution,[],[f653,f555]) ).
fof(f653,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK3(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl13_84 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f1077,plain,
( spl13_127
| ~ spl13_68
| ~ spl13_79 ),
inference(avatar_split_clause,[],[f634,f630,f554,f1075]) ).
fof(f630,plain,
( spl13_79
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK4(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).
fof(f634,plain,
( ! [X0] :
( m1_subset_1(sK4(sK4(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) )
| ~ spl13_68
| ~ spl13_79 ),
inference(resolution,[],[f631,f555]) ).
fof(f631,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK4(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl13_79 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f1071,plain,
( spl13_126
| ~ spl13_65
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f730,f719,f533,f1069]) ).
fof(f730,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(X1))
| m1_subset_1(X0,k2_zfmisc_1(X1,X1)) )
| ~ spl13_65
| ~ spl13_91 ),
inference(resolution,[],[f720,f534]) ).
fof(f1067,plain,
( spl13_125
| ~ spl13_29
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f727,f719,f310,f1065]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k6_relat_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(X1,X1)) )
| ~ spl13_29
| ~ spl13_91 ),
inference(resolution,[],[f720,f311]) ).
fof(f1023,plain,
( spl13_124
| ~ spl13_2
| ~ spl13_35
| ~ spl13_81 ),
inference(avatar_split_clause,[],[f667,f640,f338,f191,f1021]) ).
fof(f667,plain,
( ! [X0] :
( sK11 = k5_relat_1(X0,sK11)
| ~ v1_relat_1(X0) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_81 ),
inference(forward_demodulation,[],[f664,f340]) ).
fof(f664,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(X0,k1_xboole_0) )
| ~ spl13_2
| ~ spl13_81 ),
inference(resolution,[],[f641,f193]) ).
fof(f1019,plain,
( spl13_123
| ~ spl13_2
| ~ spl13_35
| ~ spl13_80 ),
inference(avatar_split_clause,[],[f660,f636,f338,f191,f1017]) ).
fof(f660,plain,
( ! [X0] :
( sK11 = k5_relat_1(sK11,X0)
| ~ v1_relat_1(X0) )
| ~ spl13_2
| ~ spl13_35
| ~ spl13_80 ),
inference(forward_demodulation,[],[f657,f340]) ).
fof(f657,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| sK11 = k5_relat_1(k1_xboole_0,X0) )
| ~ spl13_2
| ~ spl13_80 ),
inference(resolution,[],[f637,f193]) ).
fof(f991,plain,
( spl13_122
| ~ spl13_52
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f894,f876,f441,f989]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X1,X2,sK2,X0) = k7_relset_1(sK0,X2,X2,X2,k7_relset_1(sK0,sK1,X1,X2,sK2,X0),k6_relat_1(X2)) )
| ~ spl13_52
| ~ spl13_109 ),
inference(resolution,[],[f877,f443]) ).
fof(f987,plain,
( spl13_121
| ~ spl13_52
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f886,f872,f441,f985]) ).
fof(f886,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k7_relset_1(sK0,sK1,X1,X2,sK2,X0) = k7_relset_1(sK0,sK0,sK0,X2,k6_relat_1(sK0),k7_relset_1(sK0,sK1,X1,X2,sK2,X0)) )
| ~ spl13_52
| ~ spl13_108 ),
inference(resolution,[],[f873,f443]) ).
fof(f974,plain,
( spl13_120
| ~ spl13_68
| ~ spl13_77 ),
inference(avatar_split_clause,[],[f624,f617,f554,f972]) ).
fof(f617,plain,
( spl13_77
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK4(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f624,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK4(k1_zfmisc_1(X0))) )
| ~ spl13_68
| ~ spl13_77 ),
inference(resolution,[],[f618,f555]) ).
fof(f618,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK4(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl13_77 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f970,plain,
( spl13_119
| ~ spl13_30
| ~ spl13_68 ),
inference(avatar_split_clause,[],[f583,f554,f318,f968]) ).
fof(f968,plain,
( spl13_119
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).
fof(f583,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK4(X0)) )
| ~ spl13_30
| ~ spl13_68 ),
inference(resolution,[],[f555,f319]) ).
fof(f966,plain,
( spl13_118
| ~ spl13_73
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f922,f867,f579,f963]) ).
fof(f922,plain,
( v1_relat_1(k5_relat_1(sK2,sK2))
| ~ spl13_73
| ~ spl13_107 ),
inference(resolution,[],[f869,f580]) ).
fof(f949,plain,
( spl13_117
| ~ spl13_33
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f601,f579,f330,f947]) ).
fof(f601,plain,
( ! [X0,X1] : v1_relat_1(sK8(X0,X1))
| ~ spl13_33
| ~ spl13_73 ),
inference(resolution,[],[f580,f331]) ).
fof(f945,plain,
( spl13_116
| ~ spl13_71
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f600,f579,f571,f943]) ).
fof(f600,plain,
( ! [X0,X1] : v1_relat_1(sK7(X0,X1))
| ~ spl13_71
| ~ spl13_73 ),
inference(resolution,[],[f580,f572]) ).
fof(f941,plain,
( spl13_115
| ~ spl13_26
| ~ spl13_49 ),
inference(avatar_split_clause,[],[f518,f410,f298,f939]) ).
fof(f939,plain,
( spl13_115
<=> ! [X0] : m1_subset_1(sK11,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).
fof(f518,plain,
( ! [X0] : m1_subset_1(sK11,k1_zfmisc_1(X0))
| ~ spl13_26
| ~ spl13_49 ),
inference(superposition,[],[f299,f411]) ).
fof(f933,plain,
( spl13_114
| ~ spl13_52
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f814,f798,f441,f931]) ).
fof(f814,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK9(X0,X1)) = k5_relat_1(sK2,sK9(X0,X1))
| ~ spl13_52
| ~ spl13_101 ),
inference(resolution,[],[f799,f443]) ).
fof(f929,plain,
( spl13_113
| ~ spl13_52
| ~ spl13_100 ),
inference(avatar_split_clause,[],[f807,f794,f441,f927]) ).
fof(f807,plain,
( ! [X0,X1] : k7_relset_1(sK0,sK1,X0,X1,sK2,sK7(X0,X1)) = k5_relat_1(sK2,sK7(X0,X1))
| ~ spl13_52
| ~ spl13_100 ),
inference(resolution,[],[f795,f443]) ).
fof(f918,plain,
( spl13_112
| ~ spl13_52
| ~ spl13_98 ),
inference(avatar_split_clause,[],[f776,f768,f441,f916]) ).
fof(f776,plain,
( ! [X0] : k7_relset_1(sK0,sK1,X0,X0,sK2,sK6(X0)) = k5_relat_1(sK2,sK6(X0))
| ~ spl13_52
| ~ spl13_98 ),
inference(resolution,[],[f769,f443]) ).
fof(f902,plain,
( spl13_111
| ~ spl13_54
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f493,f489,f459,f900]) ).
fof(f493,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| k9_relset_2(X4,X1,X2,X3,X0) = k7_relset_1(X4,X2,X2,X2,k9_relset_2(X4,X1,X2,X3,X0),k6_relat_1(X2)) )
| ~ spl13_54
| ~ spl13_58 ),
inference(resolution,[],[f490,f460]) ).
fof(f898,plain,
( spl13_110
| ~ spl13_55
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f492,f489,f463,f896]) ).
fof(f492,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| k9_relset_2(X4,X1,X2,X3,X0) = k7_relset_1(X4,X4,X4,X2,k6_relat_1(X4),k9_relset_2(X4,X1,X2,X3,X0)) )
| ~ spl13_55
| ~ spl13_58 ),
inference(resolution,[],[f490,f464]) ).
fof(f878,plain,
( spl13_109
| ~ spl13_54
| ~ spl13_56 ),
inference(avatar_split_clause,[],[f477,f473,f459,f876]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X4,X5,X1,X2,X3,X0) = k7_relset_1(X4,X2,X2,X2,k7_relset_1(X4,X5,X1,X2,X3,X0),k6_relat_1(X2)) )
| ~ spl13_54
| ~ spl13_56 ),
inference(resolution,[],[f474,f460]) ).
fof(f874,plain,
( spl13_108
| ~ spl13_55
| ~ spl13_56 ),
inference(avatar_split_clause,[],[f476,f473,f463,f872]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| k7_relset_1(X4,X5,X1,X2,X3,X0) = k7_relset_1(X4,X4,X4,X2,k6_relat_1(X4),k7_relset_1(X4,X5,X1,X2,X3,X0)) )
| ~ spl13_55
| ~ spl13_56 ),
inference(resolution,[],[f474,f464]) ).
fof(f870,plain,
( ~ spl13_52
| spl13_107
| ~ spl13_56
| ~ spl13_85 ),
inference(avatar_split_clause,[],[f717,f672,f473,f867,f441]) ).
fof(f672,plain,
( spl13_85
<=> k7_relset_1(sK0,sK1,sK0,sK1,sK2,sK2) = k5_relat_1(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).
fof(f717,plain,
( m2_relset_1(k5_relat_1(sK2,sK2),sK0,sK1)
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ spl13_56
| ~ spl13_85 ),
inference(duplicate_literal_removal,[],[f716]) ).
fof(f716,plain,
( m2_relset_1(k5_relat_1(sK2,sK2),sK0,sK1)
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ spl13_56
| ~ spl13_85 ),
inference(superposition,[],[f474,f674]) ).
fof(f674,plain,
( k7_relset_1(sK0,sK1,sK0,sK1,sK2,sK2) = k5_relat_1(sK2,sK2)
| ~ spl13_85 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f859,plain,
( spl13_106
| ~ spl13_36
| ~ spl13_59 ),
inference(avatar_split_clause,[],[f501,f496,f343,f857]) ).
fof(f501,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK3(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK3(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl13_36
| ~ spl13_59 ),
inference(resolution,[],[f497,f344]) ).
fof(f849,plain,
( spl13_105
| ~ spl13_20
| ~ spl13_59 ),
inference(avatar_split_clause,[],[f502,f496,f271,f847]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k5_relat_1(X3,sK4(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_20
| ~ spl13_59 ),
inference(resolution,[],[f497,f272]) ).
fof(f833,plain,
( spl13_104
| ~ spl13_37
| ~ spl13_59 ),
inference(avatar_split_clause,[],[f500,f496,f347,f831]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_59 ),
inference(resolution,[],[f497,f348]) ).
fof(f829,plain,
( spl13_103
| ~ spl13_47
| ~ spl13_58 ),
inference(avatar_split_clause,[],[f494,f489,f393,f827]) ).
fof(f494,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| m1_relset_1(k9_relset_2(X4,X1,X2,X3,X0),X4,X2) )
| ~ spl13_47
| ~ spl13_58 ),
inference(resolution,[],[f490,f394]) ).
fof(f819,plain,
( spl13_102
| ~ spl13_51
| ~ spl13_59 ),
inference(avatar_split_clause,[],[f499,f496,f437,f817]) ).
fof(f499,plain,
( ! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl13_51
| ~ spl13_59 ),
inference(resolution,[],[f497,f438]) ).
fof(f800,plain,
( spl13_101
| ~ spl13_34
| ~ spl13_57 ),
inference(avatar_split_clause,[],[f486,f480,f334,f798]) ).
fof(f486,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_1(X0,X1,X2,X3,X4,sK9(X2,X3)) = k5_relat_1(X4,sK9(X2,X3))
| ~ m1_relset_1(X4,X0,X1) )
| ~ spl13_34
| ~ spl13_57 ),
inference(resolution,[],[f481,f335]) ).
fof(f796,plain,
( spl13_100
| ~ spl13_32
| ~ spl13_57 ),
inference(avatar_split_clause,[],[f485,f480,f326,f794]) ).
fof(f485,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_1(X0,X1,X2,X3,X4,sK7(X2,X3)) = k5_relat_1(X4,sK7(X2,X3))
| ~ m1_relset_1(X4,X0,X1) )
| ~ spl13_32
| ~ spl13_57 ),
inference(resolution,[],[f481,f327]) ).
fof(f780,plain,
( spl13_99
| ~ spl13_47
| ~ spl13_56 ),
inference(avatar_split_clause,[],[f478,f473,f393,f778]) ).
fof(f478,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X0,X1,X2)
| ~ m1_relset_1(X3,X4,X5)
| m1_relset_1(k7_relset_1(X4,X5,X1,X2,X3,X0),X4,X2) )
| ~ spl13_47
| ~ spl13_56 ),
inference(resolution,[],[f474,f394]) ).
fof(f770,plain,
( spl13_98
| ~ spl13_27
| ~ spl13_57 ),
inference(avatar_split_clause,[],[f484,f480,f302,f768]) ).
fof(f484,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_1(X0,X1,X2,X2,X3,sK6(X2)) = k5_relat_1(X3,sK6(X2))
| ~ m1_relset_1(X3,X0,X1) )
| ~ spl13_27
| ~ spl13_57 ),
inference(resolution,[],[f481,f303]) ).
fof(f760,plain,
( spl13_97
| ~ spl13_26
| ~ spl13_49
| ~ spl13_59 ),
inference(avatar_split_clause,[],[f504,f496,f410,f298,f758]) ).
fof(f504,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK11) = k5_relat_1(X3,sK11)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_59 ),
inference(forward_demodulation,[],[f503,f411]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] :
( k9_relset_2(X0,X1,X2,X3,sK5(k2_zfmisc_1(X1,X2))) = k5_relat_1(X3,sK5(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl13_26
| ~ spl13_59 ),
inference(resolution,[],[f497,f299]) ).
fof(f756,plain,
( spl13_96
| ~ spl13_1
| ~ spl13_91 ),
inference(avatar_split_clause,[],[f729,f719,f186,f754]) ).
fof(f729,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,k2_zfmisc_1(sK0,sK1)) )
| ~ spl13_1
| ~ spl13_91 ),
inference(resolution,[],[f720,f188]) ).
fof(f749,plain,
( spl13_95
| ~ spl13_39
| ~ spl13_51 ),
inference(avatar_split_clause,[],[f451,f437,f359,f747]) ).
fof(f451,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))) )
| ~ spl13_39
| ~ spl13_51 ),
inference(resolution,[],[f438,f360]) ).
fof(f743,plain,
( spl13_94
| ~ spl13_33
| ~ spl13_55 ),
inference(avatar_split_clause,[],[f471,f463,f330,f741]) ).
fof(f741,plain,
( spl13_94
<=> ! [X0,X1] : sK8(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK8(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).
fof(f471,plain,
( ! [X0,X1] : sK8(X0,X1) = k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),sK8(X0,X1))
| ~ spl13_33
| ~ spl13_55 ),
inference(resolution,[],[f464,f331]) ).
fof(f739,plain,
( spl13_93
| ~ spl13_33
| ~ spl13_54 ),
inference(avatar_split_clause,[],[f468,f459,f330,f737]) ).
fof(f737,plain,
( spl13_93
<=> ! [X0,X1] : sK8(X0,X1) = k7_relset_1(X0,X1,X1,X1,sK8(X0,X1),k6_relat_1(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f468,plain,
( ! [X0,X1] : sK8(X0,X1) = k7_relset_1(X0,X1,X1,X1,sK8(X0,X1),k6_relat_1(X1))
| ~ spl13_33
| ~ spl13_54 ),
inference(resolution,[],[f460,f331]) ).
fof(f725,plain,
( spl13_92
| ~ spl13_29
| ~ spl13_54 ),
inference(avatar_split_clause,[],[f467,f459,f310,f723]) ).
fof(f723,plain,
( spl13_92
<=> ! [X0] : k6_relat_1(X0) = k7_relset_1(X0,X0,X0,X0,k6_relat_1(X0),k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f467,plain,
( ! [X0] : k6_relat_1(X0) = k7_relset_1(X0,X0,X0,X0,k6_relat_1(X0),k6_relat_1(X0))
| ~ spl13_29
| ~ spl13_54 ),
inference(resolution,[],[f460,f311]) ).
fof(f721,plain,
( spl13_91
| ~ spl13_51
| ~ spl13_53 ),
inference(avatar_split_clause,[],[f453,f446,f437,f719]) ).
fof(f453,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl13_51
| ~ spl13_53 ),
inference(resolution,[],[f447,f438]) ).
fof(f701,plain,
( spl13_90
| ~ spl13_50
| ~ spl13_51 ),
inference(avatar_split_clause,[],[f450,f437,f428,f699]) ).
fof(f450,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl13_50
| ~ spl13_51 ),
inference(resolution,[],[f438,f429]) ).
fof(f697,plain,
( spl13_89
| ~ spl13_38
| ~ spl13_43 ),
inference(avatar_split_clause,[],[f413,f377,f351,f695]) ).
fof(f413,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| k5_relat_1(X0,X1) = X2
| ~ v1_xboole_0(X2) )
| ~ spl13_38
| ~ spl13_43 ),
inference(resolution,[],[f378,f352]) ).
fof(f693,plain,
( spl13_88
| ~ spl13_38
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f405,f367,f351,f691]) ).
fof(f405,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| k5_relat_1(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl13_38
| ~ spl13_41 ),
inference(resolution,[],[f368,f352]) ).
fof(f683,plain,
( spl13_87
| ~ spl13_36
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f401,f359,f343,f681]) ).
fof(f401,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl13_36
| ~ spl13_39 ),
inference(resolution,[],[f360,f344]) ).
fof(f679,plain,
( spl13_86
| ~ spl13_37
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f400,f359,f347,f677]) ).
fof(f400,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl13_37
| ~ spl13_39 ),
inference(resolution,[],[f360,f348]) ).
fof(f675,plain,
( spl13_85
| ~ spl13_52
| ~ spl13_62 ),
inference(avatar_split_clause,[],[f565,f521,f441,f672]) ).
fof(f565,plain,
( k7_relset_1(sK0,sK1,sK0,sK1,sK2,sK2) = k5_relat_1(sK2,sK2)
| ~ spl13_52
| ~ spl13_62 ),
inference(resolution,[],[f522,f443]) ).
fof(f654,plain,
( spl13_84
| ~ spl13_36
| ~ spl13_53 ),
inference(avatar_split_clause,[],[f454,f446,f343,f652]) ).
fof(f454,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK3(X1))
| v1_xboole_0(X1) )
| ~ spl13_36
| ~ spl13_53 ),
inference(resolution,[],[f447,f344]) ).
fof(f650,plain,
( spl13_83
| ~ spl13_37
| ~ spl13_53 ),
inference(avatar_split_clause,[],[f452,f446,f347,f648]) ).
fof(f648,plain,
( spl13_83
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).
fof(f452,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl13_37
| ~ spl13_53 ),
inference(resolution,[],[f447,f348]) ).
fof(f646,plain,
( spl13_82
| ~ spl13_36
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f418,f389,f343,f644]) ).
fof(f418,plain,
( ! [X0,X1] :
( v1_relat_1(sK3(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl13_36
| ~ spl13_46 ),
inference(resolution,[],[f390,f344]) ).
fof(f642,plain,
( spl13_81
| ~ spl13_25
| ~ spl13_35
| ~ spl13_43 ),
inference(avatar_split_clause,[],[f416,f377,f338,f294,f640]) ).
fof(f416,plain,
( ! [X0,X1] :
( k5_relat_1(X0,X1) = sK11
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_43 ),
inference(forward_demodulation,[],[f414,f340]) ).
fof(f414,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| k5_relat_1(X0,X1) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_43 ),
inference(resolution,[],[f378,f295]) ).
fof(f638,plain,
( spl13_80
| ~ spl13_25
| ~ spl13_35
| ~ spl13_41 ),
inference(avatar_split_clause,[],[f408,f367,f338,f294,f636]) ).
fof(f408,plain,
( ! [X0,X1] :
( k5_relat_1(X1,X0) = sK11
| ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1) )
| ~ spl13_25
| ~ spl13_35
| ~ spl13_41 ),
inference(forward_demodulation,[],[f406,f340]) ).
fof(f406,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X0)
| ~ v1_xboole_0(X1)
| k5_relat_1(X1,X0) = k1_xboole_0 )
| ~ spl13_25
| ~ spl13_41 ),
inference(resolution,[],[f368,f295]) ).
fof(f632,plain,
( spl13_79
| ~ spl13_20
| ~ spl13_53 ),
inference(avatar_split_clause,[],[f455,f446,f271,f630]) ).
fof(f455,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK4(k1_zfmisc_1(X1))) )
| ~ spl13_20
| ~ spl13_53 ),
inference(resolution,[],[f447,f272]) ).
fof(f628,plain,
( spl13_78
| ~ spl13_37
| ~ spl13_50 ),
inference(avatar_split_clause,[],[f431,f428,f347,f626]) ).
fof(f626,plain,
( spl13_78
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f431,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl13_37
| ~ spl13_50 ),
inference(resolution,[],[f429,f348]) ).
fof(f619,plain,
( spl13_77
| ~ spl13_20
| ~ spl13_50 ),
inference(avatar_split_clause,[],[f433,f428,f271,f617]) ).
fof(f433,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK4(k1_zfmisc_1(X0))) )
| ~ spl13_20
| ~ spl13_50 ),
inference(resolution,[],[f429,f272]) ).
fof(f615,plain,
( spl13_76
| ~ spl13_37
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f417,f389,f347,f613]) ).
fof(f613,plain,
( spl13_76
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f417,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl13_37
| ~ spl13_46 ),
inference(resolution,[],[f390,f348]) ).
fof(f611,plain,
( spl13_75
| ~ spl13_6
| ~ spl13_13
| ~ spl13_25
| ~ spl13_26
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f404,f359,f298,f294,f242,f211,f609]) ).
fof(f609,plain,
( spl13_75
<=> ! [X0] :
( r2_hidden(sK11,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f211,plain,
( spl13_6
<=> v1_xboole_0(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f242,plain,
( spl13_13
<=> ! [X0] : v1_xboole_0(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f404,plain,
( ! [X0] :
( r2_hidden(sK11,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl13_6
| ~ spl13_13
| ~ spl13_25
| ~ spl13_26
| ~ spl13_39 ),
inference(forward_demodulation,[],[f403,f316]) ).
fof(f316,plain,
( ! [X0] : sK5(X0) = sK11
| ~ spl13_6
| ~ spl13_13
| ~ spl13_25 ),
inference(forward_demodulation,[],[f315,f314]) ).
fof(f314,plain,
( k1_xboole_0 = sK11
| ~ spl13_6
| ~ spl13_25 ),
inference(resolution,[],[f295,f213]) ).
fof(f213,plain,
( v1_xboole_0(sK11)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f315,plain,
( ! [X0] : k1_xboole_0 = sK5(X0)
| ~ spl13_13
| ~ spl13_25 ),
inference(resolution,[],[f295,f243]) ).
fof(f243,plain,
( ! [X0] : v1_xboole_0(sK5(X0))
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f403,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK5(X0),k1_zfmisc_1(X0)) )
| ~ spl13_26
| ~ spl13_39 ),
inference(resolution,[],[f360,f299]) ).
fof(f607,plain,
( spl13_74
| ~ spl13_1
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f598,f579,f186,f604]) ).
fof(f598,plain,
( v1_relat_1(sK2)
| ~ spl13_1
| ~ spl13_73 ),
inference(resolution,[],[f580,f188]) ).
fof(f581,plain,
( spl13_73
| ~ spl13_46
| ~ spl13_51 ),
inference(avatar_split_clause,[],[f449,f437,f389,f579]) ).
fof(f449,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl13_46
| ~ spl13_51 ),
inference(resolution,[],[f438,f390]) ).
fof(f577,plain,
( spl13_72
| ~ spl13_34
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f426,f397,f334,f575]) ).
fof(f397,plain,
( spl13_48
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f426,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl13_34
| ~ spl13_48 ),
inference(resolution,[],[f398,f335]) ).
fof(f398,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f573,plain,
( spl13_71
| ~ spl13_32
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f425,f397,f326,f571]) ).
fof(f425,plain,
( ! [X0,X1] : m2_relset_1(sK7(X0,X1),X0,X1)
| ~ spl13_32
| ~ spl13_48 ),
inference(resolution,[],[f398,f327]) ).
fof(f569,plain,
( spl13_70
| ~ spl13_33
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f423,f393,f330,f567]) ).
fof(f423,plain,
( ! [X0,X1] : m1_relset_1(sK8(X0,X1),X0,X1)
| ~ spl13_33
| ~ spl13_47 ),
inference(resolution,[],[f394,f331]) ).
fof(f560,plain,
( spl13_69
| ~ spl13_20
| ~ spl13_46 ),
inference(avatar_split_clause,[],[f419,f389,f271,f558]) ).
fof(f419,plain,
( ! [X0,X1] : v1_relat_1(sK4(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl13_20
| ~ spl13_46 ),
inference(resolution,[],[f390,f272]) ).
fof(f556,plain,
( spl13_68
| ~ spl13_20
| ~ spl13_39 ),
inference(avatar_split_clause,[],[f402,f359,f271,f554]) ).
fof(f402,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK4(X0),X0) )
| ~ spl13_20
| ~ spl13_39 ),
inference(resolution,[],[f360,f272]) ).
fof(f542,plain,
( spl13_66
| spl13_67
| ~ spl13_26
| ~ spl13_49
| ~ spl13_50 ),
inference(avatar_split_clause,[],[f435,f428,f410,f298,f540,f537]) ).
fof(f537,plain,
( spl13_66
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).
fof(f540,plain,
( spl13_67
<=> ! [X1] : ~ r2_hidden(X1,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).
fof(f435,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK11)
| ~ v1_xboole_0(X0) )
| ~ spl13_26
| ~ spl13_49
| ~ spl13_50 ),
inference(forward_demodulation,[],[f434,f411]) ).
fof(f434,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK5(X0)) )
| ~ spl13_26
| ~ spl13_50 ),
inference(resolution,[],[f429,f299]) ).
fof(f535,plain,
( spl13_65
| ~ spl13_27
| ~ spl13_48 ),
inference(avatar_split_clause,[],[f424,f397,f302,f533]) ).
fof(f424,plain,
( ! [X0] : m2_relset_1(sK6(X0),X0,X0)
| ~ spl13_27
| ~ spl13_48 ),
inference(resolution,[],[f398,f303]) ).
fof(f531,plain,
( spl13_64
| ~ spl13_29
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f422,f393,f310,f529]) ).
fof(f422,plain,
( ! [X0] : m1_relset_1(k6_relat_1(X0),X0,X0)
| ~ spl13_29
| ~ spl13_47 ),
inference(resolution,[],[f394,f311]) ).
fof(f527,plain,
( spl13_63
| ~ spl13_6
| ~ spl13_38 ),
inference(avatar_split_clause,[],[f355,f351,f211,f525]) ).
fof(f525,plain,
( spl13_63
<=> ! [X0] :
( sK11 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f355,plain,
( ! [X0] :
( sK11 = X0
| ~ v1_xboole_0(X0) )
| ~ spl13_6
| ~ spl13_38 ),
inference(resolution,[],[f352,f213]) ).
fof(f523,plain,
( spl13_62
| ~ spl13_52
| ~ spl13_57 ),
inference(avatar_split_clause,[],[f487,f480,f441,f521]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( k7_relset_1(X0,X1,sK0,sK1,X2,sK2) = k5_relat_1(X2,sK2)
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl13_52
| ~ spl13_57 ),
inference(resolution,[],[f481,f443]) ).
fof(f514,plain,
( spl13_61
| ~ spl13_1
| ~ spl13_55 ),
inference(avatar_split_clause,[],[f469,f463,f186,f511]) ).
fof(f469,plain,
( sK2 = k7_relset_1(sK0,sK0,sK0,sK1,k6_relat_1(sK0),sK2)
| ~ spl13_1
| ~ spl13_55 ),
inference(resolution,[],[f464,f188]) ).
fof(f509,plain,
( spl13_60
| ~ spl13_1
| ~ spl13_54 ),
inference(avatar_split_clause,[],[f466,f459,f186,f506]) ).
fof(f466,plain,
( sK2 = k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1))
| ~ spl13_1
| ~ spl13_54 ),
inference(resolution,[],[f460,f188]) ).
fof(f498,plain,
spl13_59,
inference(avatar_split_clause,[],[f173,f496]) ).
fof(f173,plain,
! [X2,X3,X0,X1,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f491,plain,
spl13_58,
inference(avatar_split_clause,[],[f172,f489]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(f482,plain,
spl13_57,
inference(avatar_split_clause,[],[f175,f480]) ).
fof(f175,plain,
! [X2,X3,X0,X1,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5] :
( k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f475,plain,
spl13_56,
inference(avatar_split_clause,[],[f174,f473]) ).
fof(f174,plain,
! [X2,X3,X0,X1,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4,X5] :
( m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3)
| ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> m2_relset_1(k7_relset_1(X0,X1,X2,X3,X4,X5),X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relset_1) ).
fof(f465,plain,
spl13_55,
inference(avatar_split_clause,[],[f184,f463]) ).
fof(f184,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f165,f129]) ).
fof(f129,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f165,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f461,plain,
spl13_54,
inference(avatar_split_clause,[],[f183,f459]) ).
fof(f183,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(definition_unfolding,[],[f166,f129]) ).
fof(f166,plain,
! [X2,X0,X1] :
( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f448,plain,
spl13_53,
inference(avatar_split_clause,[],[f168,f446]) ).
fof(f168,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,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(f444,plain,
( spl13_52
| ~ spl13_1
| ~ spl13_47 ),
inference(avatar_split_clause,[],[f421,f393,f186,f441]) ).
fof(f421,plain,
( m1_relset_1(sK2,sK0,sK1)
| ~ spl13_1
| ~ spl13_47 ),
inference(resolution,[],[f394,f188]) ).
fof(f439,plain,
spl13_51,
inference(avatar_split_clause,[],[f164,f437]) ).
fof(f164,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,[],[f84]) ).
fof(f84,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,[],[f17]) ).
fof(f17,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(f430,plain,
spl13_50,
inference(avatar_split_clause,[],[f171,f428]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,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(f412,plain,
( spl13_49
| ~ spl13_6
| ~ spl13_13
| ~ spl13_25 ),
inference(avatar_split_clause,[],[f316,f294,f242,f211,f410]) ).
fof(f399,plain,
spl13_48,
inference(avatar_split_clause,[],[f170,f397]) ).
fof(f170,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,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,[],[f39]) ).
fof(f39,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(f395,plain,
spl13_47,
inference(avatar_split_clause,[],[f169,f393]) ).
fof(f169,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f391,plain,
spl13_46,
inference(avatar_split_clause,[],[f167,f389]) ).
fof(f167,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,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(f387,plain,
spl13_45,
inference(avatar_split_clause,[],[f156,f385]) ).
fof(f156,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k5_relat_1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f383,plain,
spl13_44,
inference(avatar_split_clause,[],[f155,f381]) ).
fof(f155,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( v1_relat_1(k5_relat_1(X1,X0))
& v1_xboole_0(k5_relat_1(X1,X0)) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( v1_relat_1(k5_relat_1(X1,X0))
& v1_xboole_0(k5_relat_1(X1,X0)) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X0) )
=> ( v1_relat_1(k5_relat_1(X1,X0))
& v1_xboole_0(k5_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_relat_1) ).
fof(f379,plain,
spl13_43,
inference(avatar_split_clause,[],[f154,f377]) ).
fof(f154,plain,
! [X0,X1] :
( v1_xboole_0(k5_relat_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f375,plain,
spl13_42,
inference(avatar_split_clause,[],[f153,f373]) ).
fof(f153,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( v1_relat_1(k5_relat_1(X0,X1))
& v1_xboole_0(k5_relat_1(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( v1_relat_1(k5_relat_1(X0,X1))
& v1_xboole_0(k5_relat_1(X0,X1)) )
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_xboole_0(X0) )
=> ( v1_relat_1(k5_relat_1(X0,X1))
& v1_xboole_0(k5_relat_1(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_relat_1) ).
fof(f369,plain,
spl13_41,
inference(avatar_split_clause,[],[f152,f367]) ).
fof(f152,plain,
! [X0,X1] :
( v1_xboole_0(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f365,plain,
spl13_40,
inference(avatar_split_clause,[],[f151,f363]) ).
fof(f151,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,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(f361,plain,
spl13_39,
inference(avatar_split_clause,[],[f150,f359]) ).
fof(f150,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,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(f353,plain,
spl13_38,
inference(avatar_split_clause,[],[f158,f351]) ).
fof(f158,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f349,plain,
spl13_37,
inference(avatar_split_clause,[],[f157,f347]) ).
fof(f157,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f44]) ).
fof(f44,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(f345,plain,
spl13_36,
inference(avatar_split_clause,[],[f134,f343]) ).
fof(f134,plain,
! [X0] :
( m1_subset_1(sK3(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f64,f100]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK3(X0))
& m1_subset_1(sK3(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,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(f341,plain,
( spl13_35
| ~ spl13_6
| ~ spl13_25 ),
inference(avatar_split_clause,[],[f314,f294,f211,f338]) ).
fof(f336,plain,
spl13_34,
inference(avatar_split_clause,[],[f162,f334]) ).
fof(f162,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( v1_relat_1(sK9(X0,X1))
& m1_relset_1(sK9(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f54,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X2] :
( v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_relat_1(sK9(X0,X1))
& m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
? [X2] :
( v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f332,plain,
spl13_33,
inference(avatar_split_clause,[],[f161,f330]) ).
fof(f161,plain,
! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] : m2_relset_1(sK8(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f20,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f328,plain,
spl13_32,
inference(avatar_split_clause,[],[f160,f326]) ).
fof(f160,plain,
! [X0,X1] : m1_relset_1(sK7(X0,X1),X0,X1),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] : m1_relset_1(sK7(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f18,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK7(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f324,plain,
spl13_31,
inference(avatar_split_clause,[],[f149,f322]) ).
fof(f322,plain,
( spl13_31
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f149,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f320,plain,
spl13_30,
inference(avatar_split_clause,[],[f148,f318]) ).
fof(f148,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f312,plain,
spl13_29,
inference(avatar_split_clause,[],[f182,f310]) ).
fof(f182,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f133,f129]) ).
fof(f133,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(pure_predicate_removal,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f308,plain,
spl13_28,
inference(avatar_split_clause,[],[f159,f306]) ).
fof(f306,plain,
( spl13_28
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f159,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f304,plain,
spl13_27,
inference(avatar_split_clause,[],[f142,f302]) ).
fof(f142,plain,
! [X0] : m1_relset_1(sK6(X0),X0,X0),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( v8_relat_2(sK6(X0))
& v3_relat_2(sK6(X0))
& v1_relat_1(sK6(X0))
& m1_relset_1(sK6(X0),X0,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f60,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) )
=> ( v8_relat_2(sK6(X0))
& v3_relat_2(sK6(X0))
& v1_relat_1(sK6(X0))
& m1_relset_1(sK6(X0),X0,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
? [X1] :
( v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) ),
inference(pure_predicate_removal,[],[f59]) ).
fof(f59,plain,
! [X0] :
? [X1] :
( v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) ),
inference(pure_predicate_removal,[],[f52]) ).
fof(f52,plain,
! [X0] :
? [X1] :
( v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) ),
inference(pure_predicate_removal,[],[f34]) ).
fof(f34,axiom,
! [X0] :
? [X1] :
( v1_partfun1(X1,X0,X0)
& v8_relat_2(X1)
& v4_relat_2(X1)
& v3_relat_2(X1)
& v1_relat_2(X1)
& v1_relat_1(X1)
& m1_relset_1(X1,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_partfun1) ).
fof(f300,plain,
spl13_26,
inference(avatar_split_clause,[],[f140,f298]) ).
fof(f140,plain,
! [X0] : m1_subset_1(sK5(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f33,f104]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,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(f296,plain,
spl13_25,
inference(avatar_split_clause,[],[f137,f294]) ).
fof(f137,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f292,plain,
( spl13_24
| ~ spl13_13
| ~ spl13_19 ),
inference(avatar_split_clause,[],[f284,f267,f242,f290]) ).
fof(f290,plain,
( spl13_24
<=> ! [X0] : v1_relat_1(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f284,plain,
( ! [X0] : v1_relat_1(sK5(X0))
| ~ spl13_13
| ~ spl13_19 ),
inference(resolution,[],[f268,f243]) ).
fof(f288,plain,
spl13_23,
inference(avatar_split_clause,[],[f135,f286]) ).
fof(f286,plain,
( spl13_23
<=> ! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f135,plain,
! [X0] :
( ~ v1_xboole_0(sK3(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f281,plain,
spl13_22,
inference(avatar_split_clause,[],[f163,f279]) ).
fof(f163,plain,
! [X0,X1] : v1_relat_1(sK9(X0,X1)),
inference(cnf_transformation,[],[f113]) ).
fof(f277,plain,
spl13_21,
inference(avatar_split_clause,[],[f147,f275]) ).
fof(f147,plain,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_sysrel) ).
fof(f273,plain,
spl13_20,
inference(avatar_split_clause,[],[f139,f271]) ).
fof(f139,plain,
! [X0] : m1_subset_1(sK4(X0),X0),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] : m1_subset_1(sK4(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f19,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f269,plain,
spl13_19,
inference(avatar_split_clause,[],[f136,f267]) ).
fof(f136,plain,
! [X0] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f265,plain,
~ spl13_18,
inference(avatar_split_clause,[],[f181,f262]) ).
fof(f181,plain,
k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)),
inference(definition_unfolding,[],[f122,f129,f129]) ).
fof(f122,plain,
k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_partfun1(sK1)),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_partfun1(sK1))
& m2_relset_1(sK2,sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f63,f98]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) != k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1))
& m2_relset_1(X2,X0,X1) )
=> ( k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_partfun1(sK1))
& m2_relset_1(sK2,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0,X1,X2] :
( k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) != k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1))
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relset_2) ).
fof(f260,plain,
spl13_17,
inference(avatar_split_clause,[],[f146,f258]) ).
fof(f146,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f256,plain,
spl13_16,
inference(avatar_split_clause,[],[f145,f254]) ).
fof(f254,plain,
( spl13_16
<=> ! [X0] : v8_relat_2(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f145,plain,
! [X0] : v8_relat_2(sK6(X0)),
inference(cnf_transformation,[],[f107]) ).
fof(f252,plain,
spl13_15,
inference(avatar_split_clause,[],[f144,f250]) ).
fof(f250,plain,
( spl13_15
<=> ! [X0] : v3_relat_2(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f144,plain,
! [X0] : v3_relat_2(sK6(X0)),
inference(cnf_transformation,[],[f107]) ).
fof(f248,plain,
spl13_14,
inference(avatar_split_clause,[],[f143,f246]) ).
fof(f143,plain,
! [X0] : v1_relat_1(sK6(X0)),
inference(cnf_transformation,[],[f107]) ).
fof(f244,plain,
spl13_13,
inference(avatar_split_clause,[],[f141,f242]) ).
fof(f141,plain,
! [X0] : v1_xboole_0(sK5(X0)),
inference(cnf_transformation,[],[f105]) ).
fof(f240,plain,
spl13_12,
inference(avatar_split_clause,[],[f132,f238]) ).
fof(f238,plain,
( spl13_12
<=> ! [X0] : v8_relat_2(k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f132,plain,
! [X0] : v8_relat_2(k6_relat_1(X0)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f55]) ).
fof(f55,plain,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f53]) ).
fof(f53,plain,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( v8_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_1(k6_relat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f236,plain,
spl13_11,
inference(avatar_split_clause,[],[f131,f234]) ).
fof(f234,plain,
( spl13_11
<=> ! [X0] : v3_relat_2(k6_relat_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f131,plain,
! [X0] : v3_relat_2(k6_relat_1(X0)),
inference(cnf_transformation,[],[f61]) ).
fof(f232,plain,
spl13_10,
inference(avatar_split_clause,[],[f128,f230]) ).
fof(f128,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] : v1_relat_1(k6_relat_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f228,plain,
spl13_9,
inference(avatar_split_clause,[],[f127,f226]) ).
fof(f226,plain,
( spl13_9
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f127,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f224,plain,
spl13_8,
inference(avatar_split_clause,[],[f180,f221]) ).
fof(f180,plain,
v1_relat_1(sK12),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
v1_relat_1(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f57,f119]) ).
fof(f119,plain,
( ? [X0] : v1_relat_1(X0)
=> v1_relat_1(sK12) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0] : v1_relat_1(X0),
inference(pure_predicate_removal,[],[f35]) ).
fof(f35,axiom,
? [X0] :
( v3_relat_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f219,plain,
spl13_7,
inference(avatar_split_clause,[],[f179,f216]) ).
fof(f216,plain,
( spl13_7
<=> v1_relat_1(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f179,plain,
v1_relat_1(sK11),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( v1_relat_1(sK11)
& v1_xboole_0(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f29,f117]) ).
fof(f117,plain,
( ? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) )
=> ( v1_relat_1(sK11)
& v1_xboole_0(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f29,axiom,
? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f214,plain,
spl13_6,
inference(avatar_split_clause,[],[f178,f211]) ).
fof(f178,plain,
v1_xboole_0(sK11),
inference(cnf_transformation,[],[f118]) ).
fof(f209,plain,
spl13_5,
inference(avatar_split_clause,[],[f177,f206]) ).
fof(f177,plain,
v1_relat_1(sK10),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( v1_relat_1(sK10)
& ~ v1_xboole_0(sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f32,f115]) ).
fof(f115,plain,
( ? [X0] :
( v1_relat_1(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_relat_1(sK10)
& ~ v1_xboole_0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f32,axiom,
? [X0] :
( v1_relat_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f204,plain,
~ spl13_4,
inference(avatar_split_clause,[],[f176,f201]) ).
fof(f201,plain,
( spl13_4
<=> v1_xboole_0(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f176,plain,
~ v1_xboole_0(sK10),
inference(cnf_transformation,[],[f116]) ).
fof(f199,plain,
spl13_3,
inference(avatar_split_clause,[],[f124,f196]) ).
fof(f124,plain,
v1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f194,plain,
spl13_2,
inference(avatar_split_clause,[],[f123,f191]) ).
fof(f123,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f26]) ).
fof(f189,plain,
spl13_1,
inference(avatar_split_clause,[],[f121,f186]) ).
fof(f121,plain,
m2_relset_1(sK2,sK0,sK1),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU451+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.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 11:19:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (2254)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (2257)WARNING: value z3 for option sas not known
% 0.14/0.37 % (2255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (2257)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (2258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (2260)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (2261)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (2259)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.56 TRYING [4]
% 0.21/0.57 TRYING [1]
% 0.21/0.57 TRYING [2]
% 0.21/0.57 TRYING [3]
% 0.21/0.60 TRYING [4]
% 2.10/0.67 TRYING [5]
% 3.60/0.86 TRYING [5]
% 7.00/1.36 TRYING [5]
% 10.60/1.86 % (2259)First to succeed.
% 10.60/1.89 % (2259)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2254"
% 10.60/1.90 % (2259)Refutation found. Thanks to Tanya!
% 10.60/1.90 % SZS status Theorem for theBenchmark
% 10.60/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 10.60/1.91 % (2259)------------------------------
% 10.60/1.91 % (2259)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.60/1.91 % (2259)Termination reason: Refutation
% 10.60/1.91
% 10.60/1.91 % (2259)Memory used [KB]: 9341
% 10.60/1.91 % (2259)Time elapsed: 1.520 s
% 10.60/1.91 % (2259)Instructions burned: 6062 (million)
% 10.60/1.91 % (2254)Success in time 1.516 s
%------------------------------------------------------------------------------