TSTP Solution File: SEU449+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU449+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:34:38 EDT 2024
% Result : Theorem 6.39s 1.27s
% Output : Refutation 6.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 808
% Syntax : Number of formulae : 2829 ( 97 unt; 0 def)
% Number of atoms : 9420 (1012 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 12082 (5491 ~;5724 |; 63 &)
% ( 752 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 761 ( 759 usr; 749 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-4 aty)
% Number of variables : 3990 (3951 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13186,plain,
$false,
inference(avatar_sat_refutation,[],[f193,f198,f203,f208,f213,f218,f223,f228,f233,f238,f242,f246,f250,f254,f258,f262,f266,f270,f274,f281,f285,f289,f293,f297,f301,f305,f309,f320,f324,f329,f333,f337,f341,f345,f356,f360,f364,f368,f372,f376,f392,f408,f412,f416,f420,f424,f428,f434,f454,f466,f470,f479,f492,f496,f500,f512,f520,f531,f536,f540,f555,f566,f578,f592,f596,f605,f616,f624,f628,f632,f641,f653,f661,f665,f674,f679,f684,f688,f692,f699,f703,f704,f705,f714,f750,f754,f758,f763,f767,f771,f775,f779,f783,f817,f821,f825,f829,f833,f837,f842,f854,f858,f862,f866,f886,f890,f894,f898,f902,f906,f910,f914,f918,f958,f962,f966,f970,f974,f1003,f1007,f1014,f1018,f1022,f1026,f1030,f1065,f1077,f1081,f1085,f1089,f1112,f1116,f1120,f1139,f1143,f1159,f1163,f1167,f1171,f1175,f1212,f1216,f1222,f1230,f1234,f1248,f1252,f1256,f1270,f1274,f1278,f1282,f1310,f1314,f1336,f1348,f1352,f1361,f1386,f1402,f1416,f1420,f1442,f1458,f1471,f1475,f1499,f1512,f1524,f1539,f1551,f1563,f1571,f1583,f1591,f1614,f1619,f1623,f1627,f1639,f1649,f1662,f1685,f1690,f1716,f1726,f1731,f1736,f1740,f1746,f1751,f1756,f1779,f1786,f1796,f1802,f1808,f1813,f1825,f1831,f1842,f1847,f1851,f1855,f1896,f1904,f1909,f1914,f1920,f1930,f1936,f1946,f1951,f1961,f1966,f1977,f1984,f1988,f1995,f2007,f2019,f2023,f2027,f2040,f2046,f2050,f2058,f2063,f2075,f2079,f2115,f2116,f2130,f2160,f2165,f2171,f2181,f2197,f2205,f2214,f2228,f2254,f2263,f2277,f2281,f2285,f2289,f2293,f2297,f2307,f2311,f2315,f2402,f2412,f2416,f2420,f2424,f2428,f2432,f2436,f2440,f2450,f2454,f2560,f2566,f2570,f2574,f2578,f2582,f2586,f2590,f2594,f2713,f2717,f2722,f2726,f2730,f2734,f2738,f2742,f2781,f2785,f2790,f2800,f2804,f2808,f2812,f2817,f2821,f2825,f2829,f2833,f2837,f2841,f2845,f2849,f2853,f2857,f2861,f2865,f2959,f2992,f3001,f3005,f3009,f3013,f3017,f3021,f3025,f3039,f3115,f3119,f3123,f3127,f3131,f3135,f3139,f3143,f3147,f3151,f3155,f3159,f3163,f3167,f3315,f3325,f3329,f3333,f3337,f3341,f3374,f3378,f3382,f3386,f3390,f3454,f3470,f3474,f3478,f3482,f3486,f3490,f3494,f3498,f3521,f3659,f3663,f3667,f3672,f3677,f3681,f3685,f3689,f3693,f3697,f3701,f3705,f3709,f3713,f3717,f3721,f3725,f3823,f3950,f3954,f3958,f3972,f4026,f4030,f4034,f4038,f4042,f4047,f4051,f4055,f4059,f4063,f4067,f4235,f4239,f4243,f4247,f4251,f4252,f4260,f4264,f4268,f4272,f4495,f4499,f4503,f4507,f4511,f4516,f4523,f4527,f4531,f4535,f4539,f4674,f4678,f4682,f4686,f4690,f4694,f4698,f4944,f4948,f4952,f4956,f4960,f4964,f4968,f4972,f4976,f4980,f4984,f4988,f4992,f4996,f5001,f5306,f5372,f5376,f5380,f5385,f5412,f5416,f5421,f5425,f5429,f5502,f5506,f5512,f5528,f5589,f5593,f5597,f5601,f5606,f5634,f5638,f5718,f5722,f5726,f5761,f5765,f5770,f5775,f5779,f5825,f5877,f5881,f5915,f5919,f5923,f5927,f5932,f5936,f6040,f6044,f6048,f6052,f6173,f6177,f6181,f6185,f6189,f6194,f6199,f6327,f6331,f6335,f6339,f6343,f6345,f6382,f6388,f6461,f6466,f6471,f6475,f6480,f6506,f6518,f6523,f6698,f6703,f6733,f6738,f6769,f6773,f6777,f6781,f6786,f6899,f6903,f6904,f6906,f6918,f7014,f7018,f7022,f7026,f7030,f7034,f7038,f7042,f7046,f7050,f7166,f7316,f7320,f7324,f7420,f7424,f7429,f7489,f7493,f7522,f7559,f7563,f7567,f7660,f7696,f7706,f7710,f7715,f7720,f7757,f7849,f7854,f7858,f7862,f7866,f7981,f7986,f7990,f8032,f8036,f8040,f8178,f8215,f8228,f8255,f8286,f8290,f8343,f8347,f8375,f8425,f8429,f8486,f8514,f8518,f8581,f8608,f8692,f8720,f8747,f8791,f8819,f8852,f8856,f8861,f8866,f8872,f8894,f8904,f8908,f8918,f8922,f8928,f8933,f8937,f8945,f8950,f8961,f8977,f9009,f9013,f9017,f9143,f9149,f9177,f9182,f9187,f9192,f9205,f9300,f9388,f9394,f9396,f9442,f9453,f9563,f9568,f9574,f9578,f9583,f9589,f9595,f9710,f9714,f9784,f9790,f9813,f9822,f9856,f9857,f9893,f9897,f9901,f9905,f9909,f9913,f9925,f10037,f10041,f10045,f10049,f10116,f10129,f10246,f10251,f10281,f10293,f10327,f10334,f10367,f10371,f10406,f10533,f10538,f10543,f10547,f10551,f10563,f10568,f10587,f10591,f10598,f10603,f10607,f10611,f10676,f10681,f10685,f10690,f10710,f10715,f10719,f10723,f10763,f10825,f11027,f11032,f11037,f11069,f11124,f11130,f11135,f11174,f11179,f11254,f11259,f11276,f11287,f11308,f11313,f11338,f11343,f11360,f11365,f11427,f11520,f11525,f11565,f11570,f11575,f11580,f11597,f11606,f11611,f11615,f11620,f11624,f11633,f11639,f11655,f11664,f11675,f11681,f11687,f11691,f11829,f11847,f11864,f11891,f11896,f12009,f12014,f12020,f12063,f12068,f12096,f12103,f12139,f12141,f12155,f12160,f12165,f12194,f12207,f12212,f12217,f12235,f12285,f12289,f12293,f12384,f12388,f12442,f12446,f12450,f12455,f12460,f12474,f12503,f12514,f12518,f12558,f12562,f12570,f12578,f12619,f12624,f12630,f12673,f12683,f12687,f12692,f12696,f12700,f12802,f12807,f12812,f12817,f12819,f12872,f12877,f12884,f12889,f12928,f12932,f13054,f13118,f13133,f13185]) ).
fof(f13185,plain,
( ~ spl15_3
| ~ spl15_51
| spl15_197 ),
inference(avatar_split_clause,[],[f13127,f1793,f464,f200]) ).
fof(f200,plain,
( spl15_3
<=> m2_relset_1(sK4,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f464,plain,
( spl15_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,[spl15_51])]) ).
fof(f1793,plain,
( spl15_197
<=> m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_197])]) ).
fof(f13127,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| ~ spl15_51
| spl15_197 ),
inference(resolution,[],[f1795,f465]) ).
fof(f465,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1795,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl15_197 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f13133,plain,
( spl15_748
| ~ spl15_2
| ~ spl15_210
| ~ spl15_712 ),
inference(avatar_split_clause,[],[f13087,f12382,f1911,f195,f13130]) ).
fof(f13130,plain,
( spl15_748
<=> m1_subset_1(k7_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_748])]) ).
fof(f195,plain,
( spl15_2
<=> m1_subset_1(sK3,k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f1911,plain,
( spl15_210
<=> m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_210])]) ).
fof(f12382,plain,
( spl15_712
<=> ! [X0] :
( k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)) = k7_relset_2(sK1,sK0,X0,k4_relat_1(sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_712])]) ).
fof(f13087,plain,
( m1_subset_1(k7_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| ~ spl15_2
| ~ spl15_210
| ~ spl15_712 ),
inference(forward_demodulation,[],[f1912,f12401]) ).
fof(f12401,plain,
( k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)) = k7_relset_2(sK1,sK0,sK3,k4_relat_1(sK4))
| ~ spl15_2
| ~ spl15_712 ),
inference(resolution,[],[f12383,f197]) ).
fof(f197,plain,
( m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f12383,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)) = k7_relset_2(sK1,sK0,X0,k4_relat_1(sK4)) )
| ~ spl15_712 ),
inference(avatar_component_clause,[],[f12382]) ).
fof(f1912,plain,
( m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| ~ spl15_210 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f13118,plain,
( spl15_747
| ~ spl15_2
| ~ spl15_36
| ~ spl15_179
| ~ spl15_712 ),
inference(avatar_split_clause,[],[f13097,f12382,f1611,f353,f195,f13115]) ).
fof(f13115,plain,
( spl15_747
<=> r1_tarski(sK3,k8_relset_2(sK0,sK1,k7_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_747])]) ).
fof(f353,plain,
( spl15_36
<=> r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
fof(f1611,plain,
( spl15_179
<=> k6_relset_1(sK0,sK1,sK4) = k4_relat_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_179])]) ).
fof(f13097,plain,
( r1_tarski(sK3,k8_relset_2(sK0,sK1,k7_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4))
| ~ spl15_2
| ~ spl15_36
| ~ spl15_179
| ~ spl15_712 ),
inference(forward_demodulation,[],[f13096,f12401]) ).
fof(f13096,plain,
( r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4))
| ~ spl15_36
| ~ spl15_179 ),
inference(forward_demodulation,[],[f354,f1613]) ).
fof(f1613,plain,
( k6_relset_1(sK0,sK1,sK4) = k4_relat_1(sK4)
| ~ spl15_179 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f354,plain,
( r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ spl15_36 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f13054,plain,
( ~ spl15_564
| ~ spl15_51
| spl15_684 ),
inference(avatar_split_clause,[],[f11676,f11672,f464,f8891]) ).
fof(f8891,plain,
( spl15_564
<=> m2_relset_1(k4_relat_1(sK4),sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_564])]) ).
fof(f11672,plain,
( spl15_684
<=> m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_684])]) ).
fof(f11676,plain,
( ~ m2_relset_1(k4_relat_1(sK4),sK1,sK0)
| ~ spl15_51
| spl15_684 ),
inference(resolution,[],[f11674,f465]) ).
fof(f11674,plain,
( ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl15_684 ),
inference(avatar_component_clause,[],[f11672]) ).
fof(f12932,plain,
( spl15_746
| ~ spl15_459
| ~ spl15_743 ),
inference(avatar_split_clause,[],[f12885,f12882,f5929,f12930]) ).
fof(f12930,plain,
( spl15_746
<=> ! [X0] : k7_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK13) = k8_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_746])]) ).
fof(f5929,plain,
( spl15_459
<=> sK3 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_459])]) ).
fof(f12882,plain,
( spl15_743
<=> ! [X0] : k7_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13) = k8_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_743])]) ).
fof(f12885,plain,
( ! [X0] : k7_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK13) = k8_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK13)
| ~ spl15_459
| ~ spl15_743 ),
inference(forward_demodulation,[],[f12883,f5931]) ).
fof(f5931,plain,
( sK3 = sK13
| ~ spl15_459 ),
inference(avatar_component_clause,[],[f5929]) ).
fof(f12883,plain,
( ! [X0] : k7_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13) = k8_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13)
| ~ spl15_743 ),
inference(avatar_component_clause,[],[f12882]) ).
fof(f12928,plain,
( ~ spl15_745
| ~ spl15_459
| spl15_742 ),
inference(avatar_split_clause,[],[f12880,f12874,f5929,f12925]) ).
fof(f12925,plain,
( spl15_745
<=> k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK4) = k7_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_745])]) ).
fof(f12874,plain,
( spl15_742
<=> k7_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4) = k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_742])]) ).
fof(f12880,plain,
( k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK4) != k7_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK4)
| ~ spl15_459
| spl15_742 ),
inference(forward_demodulation,[],[f12875,f5931]) ).
fof(f12875,plain,
( k7_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4) != k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4)
| spl15_742 ),
inference(avatar_component_clause,[],[f12874]) ).
fof(f12889,plain,
( spl15_744
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_261
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f11236,f4237,f2430,f1986,f1793,f1743,f12887]) ).
fof(f12887,plain,
( spl15_744
<=> ! [X0] :
( k7_relset_2(sK0,sK1,sK7(X0),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK7(X0))))
| ~ m1_eqrel_1(X0,sK0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_744])]) ).
fof(f1743,plain,
( spl15_192
<=> k6_relset_2(sK1,sK0,sK4) = k5_relset_2(sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_192])]) ).
fof(f1986,plain,
( spl15_221
<=> ! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_221])]) ).
fof(f2430,plain,
( spl15_261
<=> ! [X0,X1] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(X1))
| ~ m1_eqrel_1(X0,X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_261])]) ).
fof(f4237,plain,
( spl15_382
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X2),X3) = k9_relat_1(k6_relset_2(X1,X0,X2),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_382])]) ).
fof(f11236,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,sK7(X0),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK7(X0))))
| ~ m1_eqrel_1(X0,sK0)
| v1_xboole_0(X0) )
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_261
| ~ spl15_382 ),
inference(forward_demodulation,[],[f11209,f10997]) ).
fof(f10997,plain,
( ! [X0] : k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),X0) = k9_relat_1(k5_relset_2(sK0,sK4),X0)
| ~ spl15_192
| ~ spl15_197
| ~ spl15_382 ),
inference(forward_demodulation,[],[f10948,f1745]) ).
fof(f1745,plain,
( k6_relset_2(sK1,sK0,sK4) = k5_relset_2(sK0,sK4)
| ~ spl15_192 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f10948,plain,
( ! [X0] : k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK4),X0) = k9_relat_1(k6_relset_2(sK1,sK0,sK4),X0)
| ~ spl15_197
| ~ spl15_382 ),
inference(resolution,[],[f1794,f4238]) ).
fof(f4238,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X2),X3) = k9_relat_1(k6_relset_2(X1,X0,X2),X3) )
| ~ spl15_382 ),
inference(avatar_component_clause,[],[f4237]) ).
fof(f1794,plain,
( m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl15_197 ),
inference(avatar_component_clause,[],[f1793]) ).
fof(f11209,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,sK7(X0),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(sK7(X0))))
| ~ m1_eqrel_1(X0,sK0)
| v1_xboole_0(X0) )
| ~ spl15_221
| ~ spl15_261 ),
inference(resolution,[],[f1987,f2431]) ).
fof(f2431,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(X1))
| ~ m1_eqrel_1(X0,X1)
| v1_xboole_0(X0) )
| ~ spl15_261 ),
inference(avatar_component_clause,[],[f2430]) ).
fof(f1987,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(X0))) )
| ~ spl15_221 ),
inference(avatar_component_clause,[],[f1986]) ).
fof(f12884,plain,
( spl15_743
| ~ spl15_143
| ~ spl15_649 ),
inference(avatar_split_clause,[],[f11075,f11066,f1173,f12882]) ).
fof(f1173,plain,
( spl15_143
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_relset_2(X0,X1,X2,sK13)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_143])]) ).
fof(f11066,plain,
( spl15_649
<=> m1_subset_1(k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_649])]) ).
fof(f11075,plain,
( ! [X0] : k7_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13) = k8_relset_2(sK13,X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13)
| ~ spl15_143
| ~ spl15_649 ),
inference(resolution,[],[f11068,f1174]) ).
fof(f1174,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,sK13) = k8_relset_2(X0,X1,X2,sK13) )
| ~ spl15_143 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f11068,plain,
( m1_subset_1(k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13))
| ~ spl15_649 ),
inference(avatar_component_clause,[],[f11066]) ).
fof(f12877,plain,
( spl15_742
| ~ spl15_202
| ~ spl15_649 ),
inference(avatar_split_clause,[],[f11071,f11066,f1829,f12874]) ).
fof(f1829,plain,
( spl15_202
<=> ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_relset_2(sK13,sK1,X0,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_202])]) ).
fof(f11071,plain,
( k7_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4) = k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4)
| ~ spl15_202
| ~ spl15_649 ),
inference(resolution,[],[f11068,f1830]) ).
fof(f1830,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k7_relset_2(sK13,sK1,X0,sK4) = k8_relset_2(sK13,sK1,X0,sK4) )
| ~ spl15_202 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f12872,plain,
( spl15_741
| spl15_69
| ~ spl15_398 ),
inference(avatar_split_clause,[],[f10815,f4529,f613,f12870]) ).
fof(f12870,plain,
( spl15_741
<=> ! [X0] : k7_relset_2(sK0,X0,sK5(sK0),sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) = k8_relset_2(sK0,X0,sK5(sK0),sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_741])]) ).
fof(f613,plain,
( spl15_69
<=> v1_xboole_0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).
fof(f4529,plain,
( spl15_398
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_398])]) ).
fof(f10815,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK5(sK0),sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) = k8_relset_2(sK0,X0,sK5(sK0),sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0))))
| spl15_69
| ~ spl15_398 ),
inference(resolution,[],[f615,f4530]) ).
fof(f4530,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| k7_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
| ~ spl15_398 ),
inference(avatar_component_clause,[],[f4529]) ).
fof(f615,plain,
( ~ v1_xboole_0(sK0)
| spl15_69 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f12819,plain,
( spl15_459
| ~ spl15_84
| ~ spl15_540
| ~ spl15_558 ),
inference(avatar_split_clause,[],[f10056,f8816,f8213,f690,f5929]) ).
fof(f690,plain,
( spl15_84
<=> ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).
fof(f8213,plain,
( spl15_540
<=> ! [X0] :
( sK3 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_540])]) ).
fof(f8816,plain,
( spl15_558
<=> v1_xboole_0(k7_relset_2(sK13,sK13,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_558])]) ).
fof(f10056,plain,
( sK3 = sK13
| ~ spl15_84
| ~ spl15_540
| ~ spl15_558 ),
inference(forward_demodulation,[],[f9325,f8822]) ).
fof(f8822,plain,
( sK13 = k7_relset_2(sK13,sK13,sK13,sK4)
| ~ spl15_84
| ~ spl15_558 ),
inference(resolution,[],[f8818,f691]) ).
fof(f691,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = X0 )
| ~ spl15_84 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f8818,plain,
( v1_xboole_0(k7_relset_2(sK13,sK13,sK13,sK4))
| ~ spl15_558 ),
inference(avatar_component_clause,[],[f8816]) ).
fof(f9325,plain,
( sK3 = k7_relset_2(sK13,sK13,sK13,sK4)
| ~ spl15_540
| ~ spl15_558 ),
inference(resolution,[],[f8214,f8818]) ).
fof(f8214,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK3 = X0 )
| ~ spl15_540 ),
inference(avatar_component_clause,[],[f8213]) ).
fof(f12817,plain,
( spl15_740
| ~ spl15_2
| ~ spl15_420 ),
inference(avatar_split_clause,[],[f5350,f4990,f195,f12815]) ).
fof(f12815,plain,
( spl15_740
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,k2_zfmisc_1(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,k2_zfmisc_1(sK1,X0)),k3_pua2mss1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_740])]) ).
fof(f4990,plain,
( spl15_420
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k2_zfmisc_1(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_420])]) ).
fof(f5350,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,k2_zfmisc_1(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,k2_zfmisc_1(sK1,X0)),k3_pua2mss1(sK3)))
| ~ spl15_2
| ~ spl15_420 ),
inference(resolution,[],[f4991,f197]) ).
fof(f4991,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k2_zfmisc_1(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_420 ),
inference(avatar_component_clause,[],[f4990]) ).
fof(f12812,plain,
( spl15_739
| ~ spl15_2
| ~ spl15_418 ),
inference(avatar_split_clause,[],[f5318,f4982,f195,f12810]) ).
fof(f12810,plain,
( spl15_739
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK11(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK11(sK1,X0)),k3_pua2mss1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_739])]) ).
fof(f4982,plain,
( spl15_418
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,sK11(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK11(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_418])]) ).
fof(f5318,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK11(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK11(sK1,X0)),k3_pua2mss1(sK3)))
| ~ spl15_2
| ~ spl15_418 ),
inference(resolution,[],[f4983,f197]) ).
fof(f4983,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK11(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK11(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_418 ),
inference(avatar_component_clause,[],[f4982]) ).
fof(f12807,plain,
( spl15_738
| ~ spl15_2
| ~ spl15_417 ),
inference(avatar_split_clause,[],[f5283,f4978,f195,f12805]) ).
fof(f12805,plain,
( spl15_738
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK10(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK10(sK1,X0)),k3_pua2mss1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_738])]) ).
fof(f4978,plain,
( spl15_417
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,sK10(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK10(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_417])]) ).
fof(f5283,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK10(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK10(sK1,X0)),k3_pua2mss1(sK3)))
| ~ spl15_2
| ~ spl15_417 ),
inference(resolution,[],[f4979,f197]) ).
fof(f4979,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK10(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK10(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_417 ),
inference(avatar_component_clause,[],[f4978]) ).
fof(f12802,plain,
( spl15_737
| ~ spl15_2
| ~ spl15_416 ),
inference(avatar_split_clause,[],[f5253,f4974,f195,f12800]) ).
fof(f12800,plain,
( spl15_737
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK9(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK9(sK1,X0)),k3_pua2mss1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_737])]) ).
fof(f4974,plain,
( spl15_416
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,sK9(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK9(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_416])]) ).
fof(f5253,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK9(sK1,X0)) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK9(sK1,X0)),k3_pua2mss1(sK3)))
| ~ spl15_2
| ~ spl15_416 ),
inference(resolution,[],[f4975,f197]) ).
fof(f4975,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK9(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK9(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_416 ),
inference(avatar_component_clause,[],[f4974]) ).
fof(f12700,plain,
( spl15_736
| spl15_163
| ~ spl15_398 ),
inference(avatar_split_clause,[],[f4624,f4529,f1358,f12698]) ).
fof(f12698,plain,
( spl15_736
<=> ! [X0] : k7_relset_2(sK3,X0,sK5(sK3),sK7(k1_zfmisc_1(k2_zfmisc_1(sK3,X0)))) = k8_relset_2(sK3,X0,sK5(sK3),sK7(k1_zfmisc_1(k2_zfmisc_1(sK3,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_736])]) ).
fof(f1358,plain,
( spl15_163
<=> v1_xboole_0(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_163])]) ).
fof(f4624,plain,
( ! [X0] : k7_relset_2(sK3,X0,sK5(sK3),sK7(k1_zfmisc_1(k2_zfmisc_1(sK3,X0)))) = k8_relset_2(sK3,X0,sK5(sK3),sK7(k1_zfmisc_1(k2_zfmisc_1(sK3,X0))))
| spl15_163
| ~ spl15_398 ),
inference(resolution,[],[f4530,f1359]) ).
fof(f1359,plain,
( ~ v1_xboole_0(sK3)
| spl15_163 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f12696,plain,
( spl15_735
| spl15_71
| ~ spl15_398 ),
inference(avatar_split_clause,[],[f4623,f4529,f621,f12694]) ).
fof(f12694,plain,
( spl15_735
<=> ! [X0] : k7_relset_2(sK1,X0,sK5(sK1),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,sK5(sK1),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_735])]) ).
fof(f621,plain,
( spl15_71
<=> v1_xboole_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).
fof(f4623,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK5(sK1),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,sK5(sK1),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| spl15_71
| ~ spl15_398 ),
inference(resolution,[],[f4530,f623]) ).
fof(f623,plain,
( ~ v1_xboole_0(sK1)
| spl15_71 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f12692,plain,
( ~ spl15_2
| spl15_734
| ~ spl15_200
| ~ spl15_376 ),
inference(avatar_split_clause,[],[f4166,f4049,f1811,f12690,f195]) ).
fof(f12690,plain,
( spl15_734
<=> ! [X0] :
( ~ r2_hidden(k1_zfmisc_1(X0),k7_relset_2(sK1,X0,sK3,sK13))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_734])]) ).
fof(f1811,plain,
( spl15_200
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK13) = k8_relset_2(sK1,X0,sK3,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_200])]) ).
fof(f4049,plain,
( spl15_376
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(k1_zfmisc_1(X2),k8_relset_2(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_376])]) ).
fof(f4166,plain,
( ! [X0] :
( ~ r2_hidden(k1_zfmisc_1(X0),k7_relset_2(sK1,X0,sK3,sK13))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) )
| ~ spl15_200
| ~ spl15_376 ),
inference(superposition,[],[f4050,f1812]) ).
fof(f1812,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK13) = k8_relset_2(sK1,X0,sK3,sK13)
| ~ spl15_200 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f4050,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X2),k8_relset_2(X1,X2,X0,X3))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_376 ),
inference(avatar_component_clause,[],[f4049]) ).
fof(f12687,plain,
( spl15_733
| ~ spl15_240
| ~ spl15_328 ),
inference(avatar_split_clause,[],[f3359,f3323,f2195,f12685]) ).
fof(f12685,plain,
( spl15_733
<=> ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13),X0)
| ~ m1_subset_1(k5_relset_2(sK1,sK13),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_733])]) ).
fof(f2195,plain,
( spl15_240
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(k7_relset_2(sK13,sK1,sK13,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_240])]) ).
fof(f3323,plain,
( spl15_328
<=> ! [X0,X3,X2,X1] :
( r1_tarski(k8_setfam_1(X0,k4_relset_2(X1,X0,X2,X3)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_328])]) ).
fof(f3359,plain,
( ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13),X0)
| ~ m1_subset_1(k5_relset_2(sK1,sK13),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X0)))) )
| ~ spl15_240
| ~ spl15_328 ),
inference(superposition,[],[f3324,f2196]) ).
fof(f2196,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(k7_relset_2(sK13,sK1,sK13,sK4))))
| ~ spl15_240 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f3324,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(k8_setfam_1(X0,k4_relset_2(X1,X0,X2,X3)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X0)))) )
| ~ spl15_328 ),
inference(avatar_component_clause,[],[f3323]) ).
fof(f12683,plain,
( ~ spl15_732
| ~ spl15_603
| spl15_731 ),
inference(avatar_split_clause,[],[f12678,f12670,f9854,f12680]) ).
fof(f12680,plain,
( spl15_732
<=> k7_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK13,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK13))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_732])]) ).
fof(f9854,plain,
( spl15_603
<=> ! [X0] : k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),X0) = k9_relat_1(k5_relset_2(sK13,sK4),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_603])]) ).
fof(f12670,plain,
( spl15_731
<=> k7_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK13))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_731])]) ).
fof(f12678,plain,
( k7_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) != k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK13,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK13)))))
| ~ spl15_603
| spl15_731 ),
inference(forward_demodulation,[],[f12671,f9855]) ).
fof(f9855,plain,
( ! [X0] : k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),X0) = k9_relat_1(k5_relset_2(sK13,sK4),X0)
| ~ spl15_603 ),
inference(avatar_component_clause,[],[f9854]) ).
fof(f12671,plain,
( k7_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) != k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK13)))))
| spl15_731 ),
inference(avatar_component_clause,[],[f12670]) ).
fof(f12673,plain,
( spl15_731
| ~ spl15_17
| ~ spl15_223 ),
inference(avatar_split_clause,[],[f2014,f2005,f264,f12670]) ).
fof(f264,plain,
( spl15_17
<=> ! [X0] : m1_subset_1(sK7(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f2005,plain,
( spl15_223
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_223])]) ).
fof(f2014,plain,
( k7_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK13)))))
| ~ spl15_17
| ~ spl15_223 ),
inference(resolution,[],[f2006,f265]) ).
fof(f265,plain,
( ! [X0] : m1_subset_1(sK7(X0),X0)
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f2006,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(X0))) )
| ~ spl15_223 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f12630,plain,
( spl15_71
| spl15_730
| ~ spl15_45
| ~ spl15_220 ),
inference(avatar_split_clause,[],[f1997,f1982,f414,f12628,f621]) ).
fof(f12628,plain,
( spl15_730
<=> ! [X0] :
( k7_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_730])]) ).
fof(f414,plain,
( spl15_45
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
fof(f1982,plain,
( spl15_220
<=> ! [X0] :
( k7_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_220])]) ).
fof(f1997,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(X0)
| v1_xboole_0(sK1) )
| ~ spl15_45
| ~ spl15_220 ),
inference(resolution,[],[f1983,f415]) ).
fof(f415,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) )
| ~ spl15_45 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f1983,plain,
( ! [X0] :
( v1_xboole_0(k2_zfmisc_1(sK1,X0))
| k7_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) )
| ~ spl15_220 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f12624,plain,
( spl15_729
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_728 ),
inference(avatar_split_clause,[],[f12620,f12617,f4237,f864,f390,f303,f12622]) ).
fof(f12622,plain,
( spl15_729
<=> ! [X0] :
( ~ m1_subset_1(k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k7_relset_2(sK1,X0,sK3,sK13),k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_729])]) ).
fof(f303,plain,
( spl15_26
<=> ! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f390,plain,
( spl15_42
<=> ! [X0] : sK8(X0) = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f864,plain,
( spl15_106
<=> ! [X0,X1] : k6_relset_2(X0,X1,sK13) = k5_relset_2(X1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).
fof(f12617,plain,
( spl15_728
<=> ! [X0] :
( m1_subset_1(k7_relset_2(sK1,X0,sK3,sK13),k1_zfmisc_1(X0))
| ~ m1_subset_1(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_728])]) ).
fof(f12620,plain,
( ! [X0] :
( ~ m1_subset_1(k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k7_relset_2(sK1,X0,sK3,sK13),k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_728 ),
inference(forward_demodulation,[],[f12618,f4305]) ).
fof(f4305,plain,
( ! [X2,X0,X1] : k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),X2) = k9_relat_1(k5_relset_2(X0,sK13),X2)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382 ),
inference(forward_demodulation,[],[f4304,f865]) ).
fof(f865,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK13) = k5_relset_2(X1,sK13)
| ~ spl15_106 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f4304,plain,
( ! [X2,X0,X1] : k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK13),X2) = k9_relat_1(k6_relset_2(X1,X0,sK13),X2)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_382 ),
inference(forward_demodulation,[],[f4296,f391]) ).
fof(f391,plain,
( ! [X0] : sK8(X0) = sK13
| ~ spl15_42 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f4296,plain,
( ! [X2,X0,X1] : k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK8(k2_zfmisc_1(X0,X1))),X2) = k9_relat_1(k6_relset_2(X1,X0,sK8(k2_zfmisc_1(X0,X1))),X2)
| ~ spl15_26
| ~ spl15_382 ),
inference(resolution,[],[f4238,f304]) ).
fof(f304,plain,
( ! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0))
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f12618,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK1,X0,sK3,sK13),k1_zfmisc_1(X0))
| ~ m1_subset_1(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_728 ),
inference(avatar_component_clause,[],[f12617]) ).
fof(f12619,plain,
( spl15_728
| ~ spl15_54
| ~ spl15_209 ),
inference(avatar_split_clause,[],[f1926,f1907,f490,f12617]) ).
fof(f490,plain,
( spl15_54
<=> ! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
fof(f1907,plain,
( spl15_209
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_209])]) ).
fof(f1926,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK1,X0,sK3,sK13),k1_zfmisc_1(X0))
| ~ m1_subset_1(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54
| ~ spl15_209 ),
inference(superposition,[],[f491,f1908]) ).
fof(f1908,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)))
| ~ spl15_209 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f491,plain,
( ! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f12578,plain,
( ~ spl15_727
| ~ spl15_692
| spl15_725 ),
inference(avatar_split_clause,[],[f12571,f12564,f11894,f12575]) ).
fof(f12575,plain,
( spl15_727
<=> m1_eqrel_1(k1_zfmisc_1(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_727])]) ).
fof(f11894,plain,
( spl15_692
<=> ! [X0] :
( m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_692])]) ).
fof(f12564,plain,
( spl15_725
<=> m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_725])]) ).
fof(f12571,plain,
( ~ m1_eqrel_1(k1_zfmisc_1(sK1),sK1)
| ~ spl15_692
| spl15_725 ),
inference(resolution,[],[f12566,f11895]) ).
fof(f11895,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_692 ),
inference(avatar_component_clause,[],[f11894]) ).
fof(f12566,plain,
( ~ m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| spl15_725 ),
inference(avatar_component_clause,[],[f12564]) ).
fof(f12570,plain,
( ~ spl15_725
| spl15_726
| ~ spl15_282
| ~ spl15_654 ),
inference(avatar_split_clause,[],[f11193,f11177,f2740,f12568,f12564]) ).
fof(f12568,plain,
( spl15_726
<=> ! [X0,X1] : v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),k7_relset_2(sK0,sK1,sK13,sK4),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_726])]) ).
fof(f2740,plain,
( spl15_282
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_282])]) ).
fof(f11177,plain,
( spl15_654
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_654])]) ).
fof(f11193,plain,
( ! [X0,X1] :
( v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),k7_relset_2(sK0,sK1,sK13,sK4),sK13))
| ~ m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1)) )
| ~ spl15_282
| ~ spl15_654 ),
inference(superposition,[],[f2741,f11178]) ).
fof(f11178,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13)
| ~ spl15_654 ),
inference(avatar_component_clause,[],[f11177]) ).
fof(f2741,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_282 ),
inference(avatar_component_clause,[],[f2740]) ).
fof(f12562,plain,
( spl15_724
| ~ spl15_54
| ~ spl15_201 ),
inference(avatar_split_clause,[],[f11146,f1823,f490,f12560]) ).
fof(f12560,plain,
( spl15_724
<=> ! [X0] :
( k7_relset_2(sK0,sK1,k8_setfam_1(sK0,X0),sK4) = k8_relset_2(sK0,sK1,k8_setfam_1(sK0,X0),sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_724])]) ).
fof(f1823,plain,
( spl15_201
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_relset_2(sK0,sK1,X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_201])]) ).
fof(f11146,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,k8_setfam_1(sK0,X0),sK4) = k8_relset_2(sK0,sK1,k8_setfam_1(sK0,X0),sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0))) )
| ~ spl15_54
| ~ spl15_201 ),
inference(resolution,[],[f1824,f491]) ).
fof(f1824,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_relset_2(sK0,sK1,X0,sK4) )
| ~ spl15_201 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f12558,plain,
( spl15_723
| ~ spl15_181
| ~ spl15_187
| ~ spl15_348 ),
inference(avatar_split_clause,[],[f10800,f3657,f1713,f1621,f12556]) ).
fof(f12556,plain,
( spl15_723
<=> ! [X2,X0,X1] :
( m1_subset_1(sK13,k8_relset_2(X1,X2,sK13,X0))
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_723])]) ).
fof(f1621,plain,
( spl15_181
<=> ! [X0] :
( m1_subset_1(sK2,X0)
| ~ r1_tarski(k1_zfmisc_1(sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_181])]) ).
fof(f1713,plain,
( spl15_187
<=> sK2 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_187])]) ).
fof(f3657,plain,
( spl15_348
<=> ! [X0,X3,X2,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,sK13,X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_348])]) ).
fof(f10800,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK13,k8_relset_2(X1,X2,sK13,X0))
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1)) )
| ~ spl15_181
| ~ spl15_187
| ~ spl15_348 ),
inference(forward_demodulation,[],[f3727,f1715]) ).
fof(f1715,plain,
( sK2 = sK13
| ~ spl15_187 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f3727,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| m1_subset_1(sK2,k8_relset_2(X1,X2,sK13,X0)) )
| ~ spl15_181
| ~ spl15_348 ),
inference(resolution,[],[f3658,f1622]) ).
fof(f1622,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(sK0),X0)
| m1_subset_1(sK2,X0) )
| ~ spl15_181 ),
inference(avatar_component_clause,[],[f1621]) ).
fof(f3658,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,sK13,X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1)) )
| ~ spl15_348 ),
inference(avatar_component_clause,[],[f3657]) ).
fof(f12518,plain,
( spl15_722
| ~ spl15_201
| ~ spl15_250 ),
inference(avatar_split_clause,[],[f11164,f2291,f1823,f12516]) ).
fof(f12516,plain,
( spl15_722
<=> ! [X0] :
( k7_relset_2(sK0,sK1,sK7(X0),sK4) = k8_relset_2(sK0,sK1,sK7(X0),sK4)
| ~ r1_tarski(X0,k1_zfmisc_1(sK0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_722])]) ).
fof(f2291,plain,
( spl15_250
<=> ! [X0,X1] :
( m1_subset_1(sK7(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_250])]) ).
fof(f11164,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,sK7(X0),sK4) = k8_relset_2(sK0,sK1,sK7(X0),sK4)
| ~ r1_tarski(X0,k1_zfmisc_1(sK0))
| v1_xboole_0(X0) )
| ~ spl15_201
| ~ spl15_250 ),
inference(resolution,[],[f1824,f2292]) ).
fof(f2292,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) )
| ~ spl15_250 ),
inference(avatar_component_clause,[],[f2291]) ).
fof(f12514,plain,
( spl15_721
| ~ spl15_177
| ~ spl15_348 ),
inference(avatar_split_clause,[],[f3728,f3657,f1561,f12512]) ).
fof(f12512,plain,
( spl15_721
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| ~ v1_xboole_0(k8_relset_2(X1,X2,sK13,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_721])]) ).
fof(f1561,plain,
( spl15_177
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_177])]) ).
fof(f3728,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| ~ v1_xboole_0(k8_relset_2(X1,X2,sK13,X0)) )
| ~ spl15_177
| ~ spl15_348 ),
inference(resolution,[],[f3658,f1562]) ).
fof(f1562,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(sK0),X0)
| ~ v1_xboole_0(X0) )
| ~ spl15_177 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f12503,plain,
( spl15_720
| ~ spl15_268
| ~ spl15_571
| ~ spl15_574 ),
inference(avatar_split_clause,[],[f11495,f8947,f8930,f2568,f12500]) ).
fof(f12500,plain,
( spl15_720
<=> v1_relat_1(k5_relset_2(sK1,k4_relat_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_720])]) ).
fof(f2568,plain,
( spl15_268
<=> ! [X2,X0,X1] :
( v1_relat_1(k6_relset_2(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_268])]) ).
fof(f8930,plain,
( spl15_571
<=> k5_relset_2(sK1,k4_relat_1(sK4)) = k6_relset_2(sK13,sK1,k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_571])]) ).
fof(f8947,plain,
( spl15_574
<=> m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_574])]) ).
fof(f11495,plain,
( v1_relat_1(k5_relset_2(sK1,k4_relat_1(sK4)))
| ~ spl15_268
| ~ spl15_571
| ~ spl15_574 ),
inference(forward_demodulation,[],[f11445,f8932]) ).
fof(f8932,plain,
( k5_relset_2(sK1,k4_relat_1(sK4)) = k6_relset_2(sK13,sK1,k4_relat_1(sK4))
| ~ spl15_571 ),
inference(avatar_component_clause,[],[f8930]) ).
fof(f11445,plain,
( v1_relat_1(k6_relset_2(sK13,sK1,k4_relat_1(sK4)))
| ~ spl15_268
| ~ spl15_574 ),
inference(resolution,[],[f8948,f2569]) ).
fof(f2569,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| v1_relat_1(k6_relset_2(X0,X1,X2)) )
| ~ spl15_268 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f8948,plain,
( m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK13)))
| ~ spl15_574 ),
inference(avatar_component_clause,[],[f8947]) ).
fof(f12474,plain,
( spl15_719
| ~ spl15_17
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f11241,f4237,f1986,f1793,f1743,f264,f12471]) ).
fof(f12471,plain,
( spl15_719
<=> k7_relset_2(sK0,sK1,sK7(k1_zfmisc_1(sK0)),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_719])]) ).
fof(f11241,plain,
( k7_relset_2(sK0,sK1,sK7(k1_zfmisc_1(sK0)),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK0)))))
| ~ spl15_17
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(forward_demodulation,[],[f11213,f10997]) ).
fof(f11213,plain,
( k7_relset_2(sK0,sK1,sK7(k1_zfmisc_1(sK0)),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(sK7(k1_zfmisc_1(sK0)))))
| ~ spl15_17
| ~ spl15_221 ),
inference(resolution,[],[f1987,f265]) ).
fof(f12460,plain,
( spl15_69
| spl15_718
| ~ spl15_37
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f11234,f4237,f1986,f1793,f1743,f358,f12457,f613]) ).
fof(f12457,plain,
( spl15_718
<=> k7_relset_2(sK0,sK1,sK5(sK0),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK5(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_718])]) ).
fof(f358,plain,
( spl15_37
<=> ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f11234,plain,
( k7_relset_2(sK0,sK1,sK5(sK0),sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK5(sK0))))
| v1_xboole_0(sK0)
| ~ spl15_37
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(forward_demodulation,[],[f11207,f10997]) ).
fof(f11207,plain,
( k7_relset_2(sK0,sK1,sK5(sK0),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(sK5(sK0))))
| v1_xboole_0(sK0)
| ~ spl15_37
| ~ spl15_221 ),
inference(resolution,[],[f1987,f359]) ).
fof(f359,plain,
( ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl15_37 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f12455,plain,
( spl15_717
| ~ spl15_201
| ~ spl15_261 ),
inference(avatar_split_clause,[],[f11154,f2430,f1823,f12453]) ).
fof(f12453,plain,
( spl15_717
<=> ! [X0] :
( k7_relset_2(sK0,sK1,sK7(X0),sK4) = k8_relset_2(sK0,sK1,sK7(X0),sK4)
| ~ m1_eqrel_1(X0,sK0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_717])]) ).
fof(f11154,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,sK7(X0),sK4) = k8_relset_2(sK0,sK1,sK7(X0),sK4)
| ~ m1_eqrel_1(X0,sK0)
| v1_xboole_0(X0) )
| ~ spl15_201
| ~ spl15_261 ),
inference(resolution,[],[f1824,f2431]) ).
fof(f12450,plain,
( ~ spl15_197
| spl15_716
| ~ spl15_192
| ~ spl15_352 ),
inference(avatar_split_clause,[],[f11058,f3675,f1743,f12448,f1793]) ).
fof(f12448,plain,
( spl15_716
<=> ! [X0] :
( ~ r2_hidden(X0,k5_relset_2(sK0,sK4))
| m1_subset_1(X0,k2_zfmisc_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_716])]) ).
fof(f3675,plain,
( spl15_352
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,k6_relset_2(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(k1_zfmisc_1(X2),k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_352])]) ).
fof(f11058,plain,
( ! [X0] :
( ~ r2_hidden(X0,k5_relset_2(sK0,sK4))
| m1_subset_1(X0,k2_zfmisc_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) )
| ~ spl15_192
| ~ spl15_352 ),
inference(superposition,[],[f3676,f1745]) ).
fof(f3676,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k6_relset_2(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(k1_zfmisc_1(X2),k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) )
| ~ spl15_352 ),
inference(avatar_component_clause,[],[f3675]) ).
fof(f12446,plain,
( spl15_715
| ~ spl15_3
| ~ spl15_435 ),
inference(avatar_split_clause,[],[f5519,f5510,f200,f12444]) ).
fof(f12444,plain,
( spl15_715
<=> ! [X0] : k7_relset_2(k2_zfmisc_1(sK0,sK1),X0,sK4,sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(k2_zfmisc_1(sK0,sK1),sK13),k3_pua2mss1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_715])]) ).
fof(f5510,plain,
( spl15_435
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_setfam_1(X2,k9_relat_1(k5_relset_2(k2_zfmisc_1(X0,X1),sK13),k3_pua2mss1(X3)))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_435])]) ).
fof(f5519,plain,
( ! [X0] : k7_relset_2(k2_zfmisc_1(sK0,sK1),X0,sK4,sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(k2_zfmisc_1(sK0,sK1),sK13),k3_pua2mss1(sK4)))
| ~ spl15_3
| ~ spl15_435 ),
inference(resolution,[],[f5511,f202]) ).
fof(f202,plain,
( m2_relset_1(sK4,sK0,sK1)
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f5511,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_setfam_1(X2,k9_relat_1(k5_relset_2(k2_zfmisc_1(X0,X1),sK13),k3_pua2mss1(X3))) )
| ~ spl15_435 ),
inference(avatar_component_clause,[],[f5510]) ).
fof(f12442,plain,
( spl15_714
| ~ spl15_104
| ~ spl15_648 ),
inference(avatar_split_clause,[],[f11280,f11034,f856,f12440]) ).
fof(f12440,plain,
( spl15_714
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_714])]) ).
fof(f856,plain,
( spl15_104
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).
fof(f11034,plain,
( spl15_648
<=> r2_hidden(sK7(sK13),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_648])]) ).
fof(f11280,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(sK0,X0) )
| ~ spl15_104
| ~ spl15_648 ),
inference(resolution,[],[f11036,f857]) ).
fof(f857,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl15_104 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f11036,plain,
( r2_hidden(sK7(sK13),sK0)
| ~ spl15_648 ),
inference(avatar_component_clause,[],[f11034]) ).
fof(f12388,plain,
( spl15_713
| ~ spl15_40
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f11222,f4237,f1986,f1793,f1743,f370,f12386]) ).
fof(f12386,plain,
( spl15_713
<=> ! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_713])]) ).
fof(f370,plain,
( spl15_40
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
fof(f11222,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK0) )
| ~ spl15_40
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(forward_demodulation,[],[f11197,f10997]) ).
fof(f11197,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK0) )
| ~ spl15_40
| ~ spl15_221 ),
inference(resolution,[],[f1987,f371]) ).
fof(f371,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl15_40 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f12384,plain,
( spl15_712
| ~ spl15_67
| ~ spl15_179
| ~ spl15_409 ),
inference(avatar_split_clause,[],[f5108,f4946,f1611,f602,f12382]) ).
fof(f602,plain,
( spl15_67
<=> m1_relset_1(sK4,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).
fof(f4946,plain,
( spl15_409
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)) = k8_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3))
| ~ m1_relset_1(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_409])]) ).
fof(f5108,plain,
( ! [X0] :
( k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)) = k7_relset_2(sK1,sK0,X0,k4_relat_1(sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1)) )
| ~ spl15_67
| ~ spl15_179
| ~ spl15_409 ),
inference(forward_demodulation,[],[f5099,f1613]) ).
fof(f5099,plain,
( ! [X0] :
( k8_relset_2(sK1,sK0,X0,k6_relset_1(sK0,sK1,sK4)) = k7_relset_2(sK1,sK0,X0,k6_relset_1(sK0,sK1,sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1)) )
| ~ spl15_67
| ~ spl15_409 ),
inference(resolution,[],[f4947,f604]) ).
fof(f604,plain,
( m1_relset_1(sK4,sK0,sK1)
| ~ spl15_67 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f4947,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X3,X2,X1)
| k7_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)) = k8_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_409 ),
inference(avatar_component_clause,[],[f4946]) ).
fof(f12293,plain,
( spl15_711
| ~ spl15_26
| ~ spl15_42
| spl15_69
| ~ spl15_106
| ~ spl15_377
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f10820,f4237,f4053,f864,f613,f390,f303,f12291]) ).
fof(f12291,plain,
( spl15_711
<=> ! [X0] : k7_relset_2(sK0,X0,sK5(sK0),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK0,sK13),k3_pua2mss1(sK5(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_711])]) ).
fof(f4053,plain,
( spl15_377
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK5(X0))))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_377])]) ).
fof(f10820,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK5(sK0),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK0,sK13),k3_pua2mss1(sK5(sK0))))
| ~ spl15_26
| ~ spl15_42
| spl15_69
| ~ spl15_106
| ~ spl15_377
| ~ spl15_382 ),
inference(forward_demodulation,[],[f10814,f4305]) ).
fof(f10814,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK5(sK0),sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK0),X0,k5_relset_2(sK0,sK13),k3_pua2mss1(sK5(sK0))))
| spl15_69
| ~ spl15_377 ),
inference(resolution,[],[f615,f4054]) ).
fof(f4054,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| k7_relset_2(X0,X1,sK5(X0),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK5(X0)))) )
| ~ spl15_377 ),
inference(avatar_component_clause,[],[f4053]) ).
fof(f12289,plain,
( spl15_710
| spl15_69
| ~ spl15_342 ),
inference(avatar_split_clause,[],[f10813,f3480,f613,f12287]) ).
fof(f12287,plain,
( spl15_710
<=> ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(X0,sK0,sK5(k2_zfmisc_1(sK0,X0))) = k5_relset_2(sK0,sK5(k2_zfmisc_1(sK0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_710])]) ).
fof(f3480,plain,
( spl15_342
<=> ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| v1_xboole_0(X0)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_342])]) ).
fof(f10813,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(X0,sK0,sK5(k2_zfmisc_1(sK0,X0))) = k5_relset_2(sK0,sK5(k2_zfmisc_1(sK0,X0))) )
| spl15_69
| ~ spl15_342 ),
inference(resolution,[],[f615,f3481]) ).
fof(f3481,plain,
( ! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0))) )
| ~ spl15_342 ),
inference(avatar_component_clause,[],[f3480]) ).
fof(f12285,plain,
( spl15_709
| spl15_69
| ~ spl15_342 ),
inference(avatar_split_clause,[],[f10812,f3480,f613,f12283]) ).
fof(f12283,plain,
( spl15_709
<=> ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(sK0,X0,sK5(k2_zfmisc_1(X0,sK0))) = k5_relset_2(X0,sK5(k2_zfmisc_1(X0,sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_709])]) ).
fof(f10812,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(sK0,X0,sK5(k2_zfmisc_1(X0,sK0))) = k5_relset_2(X0,sK5(k2_zfmisc_1(X0,sK0))) )
| spl15_69
| ~ spl15_342 ),
inference(resolution,[],[f615,f3481]) ).
fof(f12235,plain,
( spl15_708
| ~ spl15_17
| ~ spl15_201 ),
inference(avatar_split_clause,[],[f11158,f1823,f264,f12232]) ).
fof(f12232,plain,
( spl15_708
<=> k7_relset_2(sK0,sK1,sK7(k1_zfmisc_1(sK0)),sK4) = k8_relset_2(sK0,sK1,sK7(k1_zfmisc_1(sK0)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_708])]) ).
fof(f11158,plain,
( k7_relset_2(sK0,sK1,sK7(k1_zfmisc_1(sK0)),sK4) = k8_relset_2(sK0,sK1,sK7(k1_zfmisc_1(sK0)),sK4)
| ~ spl15_17
| ~ spl15_201 ),
inference(resolution,[],[f1824,f265]) ).
fof(f12217,plain,
( spl15_69
| spl15_707
| ~ spl15_37
| ~ spl15_201 ),
inference(avatar_split_clause,[],[f11152,f1823,f358,f12214,f613]) ).
fof(f12214,plain,
( spl15_707
<=> k7_relset_2(sK0,sK1,sK5(sK0),sK4) = k8_relset_2(sK0,sK1,sK5(sK0),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_707])]) ).
fof(f11152,plain,
( k7_relset_2(sK0,sK1,sK5(sK0),sK4) = k8_relset_2(sK0,sK1,sK5(sK0),sK4)
| v1_xboole_0(sK0)
| ~ spl15_37
| ~ spl15_201 ),
inference(resolution,[],[f1824,f359]) ).
fof(f12212,plain,
( spl15_706
| ~ spl15_192
| ~ spl15_197
| ~ spl15_390 ),
inference(avatar_split_clause,[],[f10998,f4493,f1793,f1743,f12209]) ).
fof(f12209,plain,
( spl15_706
<=> k6_relset_2(k1_zfmisc_1(sK1),k1_zfmisc_1(sK0),k5_relset_2(sK0,sK4)) = k5_relset_2(k1_zfmisc_1(sK0),k5_relset_2(sK0,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_706])]) ).
fof(f4493,plain,
( spl15_390
<=> ! [X2,X0,X1] :
( k6_relset_2(k1_zfmisc_1(X0),k1_zfmisc_1(X1),k6_relset_2(X0,X1,X2)) = k5_relset_2(k1_zfmisc_1(X1),k6_relset_2(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_390])]) ).
fof(f10998,plain,
( k6_relset_2(k1_zfmisc_1(sK1),k1_zfmisc_1(sK0),k5_relset_2(sK0,sK4)) = k5_relset_2(k1_zfmisc_1(sK0),k5_relset_2(sK0,sK4))
| ~ spl15_192
| ~ spl15_197
| ~ spl15_390 ),
inference(forward_demodulation,[],[f10949,f1745]) ).
fof(f10949,plain,
( k6_relset_2(k1_zfmisc_1(sK1),k1_zfmisc_1(sK0),k6_relset_2(sK1,sK0,sK4)) = k5_relset_2(k1_zfmisc_1(sK0),k6_relset_2(sK1,sK0,sK4))
| ~ spl15_197
| ~ spl15_390 ),
inference(resolution,[],[f1794,f4494]) ).
fof(f4494,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| k6_relset_2(k1_zfmisc_1(X0),k1_zfmisc_1(X1),k6_relset_2(X0,X1,X2)) = k5_relset_2(k1_zfmisc_1(X1),k6_relset_2(X0,X1,X2)) )
| ~ spl15_390 ),
inference(avatar_component_clause,[],[f4493]) ).
fof(f12207,plain,
( spl15_705
| ~ spl15_3
| ~ spl15_355 ),
inference(avatar_split_clause,[],[f3810,f3687,f200,f12205]) ).
fof(f12205,plain,
( spl15_705
<=> ! [X0] : k7_relset_2(k2_zfmisc_1(sK0,sK1),X0,sK4,sK13) = k8_relset_2(k2_zfmisc_1(sK0,sK1),X0,sK4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_705])]) ).
fof(f3687,plain,
( spl15_355
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13)
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_355])]) ).
fof(f3810,plain,
( ! [X0] : k7_relset_2(k2_zfmisc_1(sK0,sK1),X0,sK4,sK13) = k8_relset_2(k2_zfmisc_1(sK0,sK1),X0,sK4,sK13)
| ~ spl15_3
| ~ spl15_355 ),
inference(resolution,[],[f3688,f202]) ).
fof(f3688,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) )
| ~ spl15_355 ),
inference(avatar_component_clause,[],[f3687]) ).
fof(f12194,plain,
( spl15_704
| ~ spl15_38
| ~ spl15_452 ),
inference(avatar_split_clause,[],[f9254,f5822,f362,f12191]) ).
fof(f12191,plain,
( spl15_704
<=> sK3 = k4_relat_1(k4_relat_1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_704])]) ).
fof(f362,plain,
( spl15_38
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f5822,plain,
( spl15_452
<=> v1_relat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_452])]) ).
fof(f9254,plain,
( sK3 = k4_relat_1(k4_relat_1(sK3))
| ~ spl15_38
| ~ spl15_452 ),
inference(resolution,[],[f5824,f363]) ).
fof(f363,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(k4_relat_1(X0)) = X0 )
| ~ spl15_38 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f5824,plain,
( v1_relat_1(sK3)
| ~ spl15_452 ),
inference(avatar_component_clause,[],[f5822]) ).
fof(f12165,plain,
( spl15_703
| ~ spl15_1
| ~ spl15_187
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f11233,f4237,f1986,f1793,f1743,f1713,f190,f12162]) ).
fof(f12162,plain,
( spl15_703
<=> k7_relset_2(sK0,sK1,sK13,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_703])]) ).
fof(f190,plain,
( spl15_1
<=> m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f11233,plain,
( k7_relset_2(sK0,sK1,sK13,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK13)))
| ~ spl15_1
| ~ spl15_187
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(forward_demodulation,[],[f11232,f1715]) ).
fof(f11232,plain,
( k7_relset_2(sK0,sK1,sK2,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK0,sK4),k3_pua2mss1(sK2)))
| ~ spl15_1
| ~ spl15_192
| ~ spl15_197
| ~ spl15_221
| ~ spl15_382 ),
inference(forward_demodulation,[],[f11206,f10997]) ).
fof(f11206,plain,
( k7_relset_2(sK0,sK1,sK2,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(sK2)))
| ~ spl15_1
| ~ spl15_221 ),
inference(resolution,[],[f1987,f192]) ).
fof(f192,plain,
( m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f12160,plain,
( spl15_702
| ~ spl15_40
| ~ spl15_201 ),
inference(avatar_split_clause,[],[f11142,f1823,f370,f12158]) ).
fof(f12158,plain,
( spl15_702
<=> ! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_relset_2(sK0,sK1,X0,sK4)
| ~ r1_tarski(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_702])]) ).
fof(f11142,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_relset_2(sK0,sK1,X0,sK4)
| ~ r1_tarski(X0,sK0) )
| ~ spl15_40
| ~ spl15_201 ),
inference(resolution,[],[f1824,f371]) ).
fof(f12155,plain,
( spl15_701
| ~ spl15_686
| ~ spl15_699 ),
inference(avatar_split_clause,[],[f12142,f12093,f11684,f12136]) ).
fof(f12136,plain,
( spl15_701
<=> m1_subset_1(sK7(k7_relset_2(sK0,sK1,sK13,sK4)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_701])]) ).
fof(f11684,plain,
( spl15_686
<=> k8_relset_2(sK0,sK1,sK13,sK4) = k7_relset_2(sK0,sK1,sK13,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_686])]) ).
fof(f12093,plain,
( spl15_699
<=> m1_subset_1(sK7(k8_relset_2(sK0,sK1,sK13,sK4)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_699])]) ).
fof(f12142,plain,
( m1_subset_1(sK7(k7_relset_2(sK0,sK1,sK13,sK4)),sK1)
| ~ spl15_686
| ~ spl15_699 ),
inference(forward_demodulation,[],[f12095,f11686]) ).
fof(f11686,plain,
( k8_relset_2(sK0,sK1,sK13,sK4) = k7_relset_2(sK0,sK1,sK13,sK4)
| ~ spl15_686 ),
inference(avatar_component_clause,[],[f11684]) ).
fof(f12095,plain,
( m1_subset_1(sK7(k8_relset_2(sK0,sK1,sK13,sK4)),sK1)
| ~ spl15_699 ),
inference(avatar_component_clause,[],[f12093]) ).
fof(f12141,plain,
( ~ spl15_479
| ~ spl15_84
| ~ spl15_700
| spl15_701 ),
inference(avatar_split_clause,[],[f12140,f12136,f12100,f690,f6458]) ).
fof(f6458,plain,
( spl15_479
<=> m1_subset_1(sK7(sK13),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_479])]) ).
fof(f12100,plain,
( spl15_700
<=> v1_xboole_0(k7_relset_2(sK0,sK1,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_700])]) ).
fof(f12140,plain,
( ~ m1_subset_1(sK7(sK13),sK1)
| ~ spl15_84
| ~ spl15_700
| spl15_701 ),
inference(forward_demodulation,[],[f12138,f12106]) ).
fof(f12106,plain,
( sK13 = k7_relset_2(sK0,sK1,sK13,sK4)
| ~ spl15_84
| ~ spl15_700 ),
inference(resolution,[],[f12102,f691]) ).
fof(f12102,plain,
( v1_xboole_0(k7_relset_2(sK0,sK1,sK13,sK4))
| ~ spl15_700 ),
inference(avatar_component_clause,[],[f12100]) ).
fof(f12138,plain,
( ~ m1_subset_1(sK7(k7_relset_2(sK0,sK1,sK13,sK4)),sK1)
| spl15_701 ),
inference(avatar_component_clause,[],[f12136]) ).
fof(f12139,plain,
( ~ spl15_701
| ~ spl15_686
| spl15_699 ),
inference(avatar_split_clause,[],[f12097,f12093,f11684,f12136]) ).
fof(f12097,plain,
( ~ m1_subset_1(sK7(k7_relset_2(sK0,sK1,sK13,sK4)),sK1)
| ~ spl15_686
| spl15_699 ),
inference(forward_demodulation,[],[f12094,f11686]) ).
fof(f12094,plain,
( ~ m1_subset_1(sK7(k8_relset_2(sK0,sK1,sK13,sK4)),sK1)
| spl15_699 ),
inference(avatar_component_clause,[],[f12093]) ).
fof(f12103,plain,
( spl15_700
| ~ spl15_686
| ~ spl15_698 ),
inference(avatar_split_clause,[],[f12098,f12089,f11684,f12100]) ).
fof(f12089,plain,
( spl15_698
<=> v1_xboole_0(k8_relset_2(sK0,sK1,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_698])]) ).
fof(f12098,plain,
( v1_xboole_0(k7_relset_2(sK0,sK1,sK13,sK4))
| ~ spl15_686
| ~ spl15_698 ),
inference(forward_demodulation,[],[f12091,f11686]) ).
fof(f12091,plain,
( v1_xboole_0(k8_relset_2(sK0,sK1,sK13,sK4))
| ~ spl15_698 ),
inference(avatar_component_clause,[],[f12089]) ).
fof(f12096,plain,
( spl15_698
| spl15_699
| ~ spl15_89
| ~ spl15_650 ),
inference(avatar_split_clause,[],[f11125,f11122,f756,f12093,f12089]) ).
fof(f756,plain,
( spl15_89
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK7(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).
fof(f11122,plain,
( spl15_650
<=> ! [X0] :
( m1_subset_1(X0,sK1)
| ~ r2_hidden(X0,k8_relset_2(sK0,sK1,sK13,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_650])]) ).
fof(f11125,plain,
( m1_subset_1(sK7(k8_relset_2(sK0,sK1,sK13,sK4)),sK1)
| v1_xboole_0(k8_relset_2(sK0,sK1,sK13,sK4))
| ~ spl15_89
| ~ spl15_650 ),
inference(resolution,[],[f11123,f757]) ).
fof(f757,plain,
( ! [X0] :
( r2_hidden(sK7(X0),X0)
| v1_xboole_0(X0) )
| ~ spl15_89 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f11123,plain,
( ! [X0] :
( ~ r2_hidden(X0,k8_relset_2(sK0,sK1,sK13,sK4))
| m1_subset_1(X0,sK1) )
| ~ spl15_650 ),
inference(avatar_component_clause,[],[f11122]) ).
fof(f12068,plain,
( ~ spl15_197
| spl15_697
| ~ spl15_140
| ~ spl15_192 ),
inference(avatar_split_clause,[],[f11059,f1743,f1161,f12065,f1793]) ).
fof(f12065,plain,
( spl15_697
<=> m1_relset_1(k5_relset_2(sK0,sK4),k1_zfmisc_1(sK0),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_697])]) ).
fof(f1161,plain,
( spl15_140
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m1_relset_1(k6_relset_2(X2,X1,X0),k1_zfmisc_1(X1),k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_140])]) ).
fof(f11059,plain,
( m1_relset_1(k5_relset_2(sK0,sK4),k1_zfmisc_1(sK0),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl15_140
| ~ spl15_192 ),
inference(superposition,[],[f1162,f1745]) ).
fof(f1162,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k6_relset_2(X2,X1,X0),k1_zfmisc_1(X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_140 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f12063,plain,
( spl15_696
| ~ spl15_192
| ~ spl15_197
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f10997,f4237,f1793,f1743,f12061]) ).
fof(f12061,plain,
( spl15_696
<=> ! [X0] : k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),X0) = k9_relat_1(k5_relset_2(sK0,sK4),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_696])]) ).
fof(f12020,plain,
( spl15_695
| ~ spl15_192
| ~ spl15_197
| ~ spl15_372
| ~ spl15_408 ),
inference(avatar_split_clause,[],[f11000,f4942,f4032,f1793,f1743,f12017]) ).
fof(f12017,plain,
( spl15_695
<=> k5_relset_2(sK0,sK4) = k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k4_relat_1(k5_relset_2(sK0,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_695])]) ).
fof(f4032,plain,
( spl15_372
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_2(X2,X1,X0)) = k4_relat_1(k6_relset_2(X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_372])]) ).
fof(f4942,plain,
( spl15_408
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k6_relset_2(X2,X1,X0) = k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_2(X2,X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_408])]) ).
fof(f11000,plain,
( k5_relset_2(sK0,sK4) = k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k4_relat_1(k5_relset_2(sK0,sK4)))
| ~ spl15_192
| ~ spl15_197
| ~ spl15_372
| ~ spl15_408 ),
inference(forward_demodulation,[],[f10999,f10996]) ).
fof(f10996,plain,
( k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k5_relset_2(sK0,sK4)) = k4_relat_1(k5_relset_2(sK0,sK4))
| ~ spl15_192
| ~ spl15_197
| ~ spl15_372 ),
inference(forward_demodulation,[],[f10947,f1745]) ).
fof(f10947,plain,
( k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k6_relset_2(sK1,sK0,sK4)) = k4_relat_1(k6_relset_2(sK1,sK0,sK4))
| ~ spl15_197
| ~ spl15_372 ),
inference(resolution,[],[f1794,f4033]) ).
fof(f4033,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_2(X2,X1,X0)) = k4_relat_1(k6_relset_2(X2,X1,X0)) )
| ~ spl15_372 ),
inference(avatar_component_clause,[],[f4032]) ).
fof(f10999,plain,
( k5_relset_2(sK0,sK4) = k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k5_relset_2(sK0,sK4)))
| ~ spl15_192
| ~ spl15_197
| ~ spl15_408 ),
inference(forward_demodulation,[],[f10950,f1745]) ).
fof(f10950,plain,
( k6_relset_2(sK1,sK0,sK4) = k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k6_relset_2(sK1,sK0,sK4)))
| ~ spl15_197
| ~ spl15_408 ),
inference(resolution,[],[f1794,f4943]) ).
fof(f4943,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k6_relset_2(X2,X1,X0) = k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_2(X2,X1,X0))) )
| ~ spl15_408 ),
inference(avatar_component_clause,[],[f4942]) ).
fof(f12014,plain,
( spl15_694
| ~ spl15_192
| ~ spl15_197
| ~ spl15_372 ),
inference(avatar_split_clause,[],[f10996,f4032,f1793,f1743,f12011]) ).
fof(f12011,plain,
( spl15_694
<=> k6_relset_1(k1_zfmisc_1(sK0),k1_zfmisc_1(sK1),k5_relset_2(sK0,sK4)) = k4_relat_1(k5_relset_2(sK0,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_694])]) ).
fof(f12009,plain,
( spl15_693
| spl15_69
| ~ spl15_325 ),
inference(avatar_split_clause,[],[f10811,f3161,f613,f12007]) ).
fof(f12007,plain,
( spl15_693
<=> ! [X0] : k7_relset_2(sK0,X0,sK5(sK0),sK13) = k8_relset_2(sK0,X0,sK5(sK0),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_693])]) ).
fof(f3161,plain,
( spl15_325
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK13) = k8_relset_2(X0,X1,sK5(X0),sK13)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_325])]) ).
fof(f10811,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK5(sK0),sK13) = k8_relset_2(sK0,X0,sK5(sK0),sK13)
| spl15_69
| ~ spl15_325 ),
inference(resolution,[],[f615,f3162]) ).
fof(f3162,plain,
( ! [X0,X1] :
( v1_xboole_0(X0)
| k7_relset_2(X0,X1,sK5(X0),sK13) = k8_relset_2(X0,X1,sK5(X0),sK13) )
| ~ spl15_325 ),
inference(avatar_component_clause,[],[f3161]) ).
fof(f11896,plain,
( spl15_692
| ~ spl15_686
| ~ spl15_691 ),
inference(avatar_split_clause,[],[f11892,f11889,f11684,f11894]) ).
fof(f11889,plain,
( spl15_691
<=> ! [X0] :
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_691])]) ).
fof(f11892,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_686
| ~ spl15_691 ),
inference(forward_demodulation,[],[f11890,f11686]) ).
fof(f11890,plain,
( ! [X0] :
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_691 ),
inference(avatar_component_clause,[],[f11889]) ).
fof(f11891,plain,
( spl15_691
| ~ spl15_119
| ~ spl15_651 ),
inference(avatar_split_clause,[],[f11136,f11127,f968,f11889]) ).
fof(f968,plain,
( spl15_119
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X2)
| ~ m1_eqrel_1(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_119])]) ).
fof(f11127,plain,
( spl15_651
<=> r2_hidden(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_651])]) ).
fof(f11136,plain,
( ! [X0] :
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_119
| ~ spl15_651 ),
inference(resolution,[],[f11129,f969]) ).
fof(f969,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_eqrel_1(X2,X1) )
| ~ spl15_119 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f11129,plain,
( r2_hidden(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_651 ),
inference(avatar_component_clause,[],[f11127]) ).
fof(f11864,plain,
( ~ spl15_11
| ~ spl15_690 ),
inference(avatar_contradiction_clause,[],[f11848]) ).
fof(f11848,plain,
( $false
| ~ spl15_11
| ~ spl15_690 ),
inference(resolution,[],[f11846,f241]) ).
fof(f241,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl15_11
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f11846,plain,
( v1_xboole_0(k1_zfmisc_1(sK13))
| ~ spl15_690 ),
inference(avatar_component_clause,[],[f11844]) ).
fof(f11844,plain,
( spl15_690
<=> v1_xboole_0(k1_zfmisc_1(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_690])]) ).
fof(f11847,plain,
( spl15_689
| spl15_690
| ~ spl15_44
| ~ spl15_649 ),
inference(avatar_split_clause,[],[f11107,f11066,f410,f11844,f11840]) ).
fof(f11840,plain,
( spl15_689
<=> r2_hidden(k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_689])]) ).
fof(f410,plain,
( spl15_44
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
fof(f11107,plain,
( v1_xboole_0(k1_zfmisc_1(sK13))
| r2_hidden(k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13))
| ~ spl15_44
| ~ spl15_649 ),
inference(resolution,[],[f11068,f411]) ).
fof(f411,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl15_44 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f11829,plain,
( spl15_667
| spl15_688
| ~ spl15_44
| ~ spl15_191 ),
inference(avatar_split_clause,[],[f11057,f1738,f410,f11827,f11522]) ).
fof(f11522,plain,
( spl15_667
<=> v1_xboole_0(k2_zfmisc_1(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_667])]) ).
fof(f11827,plain,
( spl15_688
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| r2_hidden(X0,k2_zfmisc_1(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_688])]) ).
fof(f1738,plain,
( spl15_191
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_191])]) ).
fof(f11057,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| v1_xboole_0(k2_zfmisc_1(sK0,sK1))
| r2_hidden(X0,k2_zfmisc_1(sK0,sK1)) )
| ~ spl15_44
| ~ spl15_191 ),
inference(resolution,[],[f1739,f411]) ).
fof(f1739,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(sK0,sK1))
| ~ r2_hidden(X0,sK4) )
| ~ spl15_191 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f11691,plain,
( spl15_687
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_685 ),
inference(avatar_split_clause,[],[f11682,f11679,f1823,f1713,f190,f11689]) ).
fof(f11689,plain,
( spl15_687
<=> ! [X0] :
( m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_687])]) ).
fof(f11679,plain,
( spl15_685
<=> ! [X0] :
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_685])]) ).
fof(f11682,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK0,sK1,sK13,sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) )
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_685 ),
inference(forward_demodulation,[],[f11680,f11168]) ).
fof(f11168,plain,
( k8_relset_2(sK0,sK1,sK13,sK4) = k7_relset_2(sK0,sK1,sK13,sK4)
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201 ),
inference(forward_demodulation,[],[f11151,f1715]) ).
fof(f11151,plain,
( k8_relset_2(sK0,sK1,sK2,sK4) = k7_relset_2(sK0,sK1,sK2,sK4)
| ~ spl15_1
| ~ spl15_201 ),
inference(resolution,[],[f1824,f192]) ).
fof(f11680,plain,
( ! [X0] :
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) )
| ~ spl15_685 ),
inference(avatar_component_clause,[],[f11679]) ).
fof(f11687,plain,
( spl15_686
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201 ),
inference(avatar_split_clause,[],[f11168,f1823,f1713,f190,f11684]) ).
fof(f11681,plain,
( spl15_685
| ~ spl15_113
| ~ spl15_651 ),
inference(avatar_split_clause,[],[f11137,f11127,f908,f11679]) ).
fof(f908,plain,
( spl15_113
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_113])]) ).
fof(f11137,plain,
( ! [X0] :
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) )
| ~ spl15_113
| ~ spl15_651 ),
inference(resolution,[],[f11129,f909]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1)
| ~ r1_tarski(X2,X1) )
| ~ spl15_113 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f11675,plain,
( ~ spl15_2
| ~ spl15_684
| ~ spl15_62
| spl15_210 ),
inference(avatar_split_clause,[],[f11061,f1911,f553,f11672,f195]) ).
fof(f553,plain,
( spl15_62
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
fof(f11061,plain,
( ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ spl15_62
| spl15_210 ),
inference(resolution,[],[f1913,f554]) ).
fof(f554,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_62 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f1913,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| spl15_210 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f11664,plain,
( spl15_682
| spl15_683
| ~ spl15_44
| ~ spl15_197 ),
inference(avatar_split_clause,[],[f10993,f1793,f410,f11661,f11657]) ).
fof(f11657,plain,
( spl15_682
<=> r2_hidden(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_682])]) ).
fof(f11661,plain,
( spl15_683
<=> v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_683])]) ).
fof(f10993,plain,
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| r2_hidden(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl15_44
| ~ spl15_197 ),
inference(resolution,[],[f1794,f411]) ).
fof(f11655,plain,
( ~ spl15_681
| ~ spl15_29
| ~ spl15_648 ),
inference(avatar_split_clause,[],[f11283,f11034,f322,f11652]) ).
fof(f11652,plain,
( spl15_681
<=> r2_hidden(sK0,sK7(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_681])]) ).
fof(f322,plain,
( spl15_29
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f11283,plain,
( ~ r2_hidden(sK0,sK7(sK13))
| ~ spl15_29
| ~ spl15_648 ),
inference(resolution,[],[f11036,f323]) ).
fof(f323,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f11639,plain,
( spl15_680
| ~ spl15_666
| ~ spl15_679 ),
inference(avatar_split_clause,[],[f11634,f11630,f11517,f11636]) ).
fof(f11636,plain,
( spl15_680
<=> k4_relat_1(sK4) = k6_relset_1(sK1,sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_680])]) ).
fof(f11517,plain,
( spl15_666
<=> sK4 = k6_relset_1(sK1,sK0,k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_666])]) ).
fof(f11630,plain,
( spl15_679
<=> k4_relat_1(sK4) = k6_relset_1(sK1,sK0,k6_relset_1(sK1,sK0,k4_relat_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_679])]) ).
fof(f11634,plain,
( k4_relat_1(sK4) = k6_relset_1(sK1,sK0,sK4)
| ~ spl15_666
| ~ spl15_679 ),
inference(forward_demodulation,[],[f11632,f11519]) ).
fof(f11519,plain,
( sK4 = k6_relset_1(sK1,sK0,k4_relat_1(sK4))
| ~ spl15_666 ),
inference(avatar_component_clause,[],[f11517]) ).
fof(f11632,plain,
( k4_relat_1(sK4) = k6_relset_1(sK1,sK0,k6_relset_1(sK1,sK0,k4_relat_1(sK4)))
| ~ spl15_679 ),
inference(avatar_component_clause,[],[f11630]) ).
fof(f11633,plain,
( spl15_679
| ~ spl15_67
| ~ spl15_179
| ~ spl15_350 ),
inference(avatar_split_clause,[],[f3779,f3665,f1611,f602,f11630]) ).
fof(f3665,plain,
( spl15_350
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_350])]) ).
fof(f3779,plain,
( k4_relat_1(sK4) = k6_relset_1(sK1,sK0,k6_relset_1(sK1,sK0,k4_relat_1(sK4)))
| ~ spl15_67
| ~ spl15_179
| ~ spl15_350 ),
inference(forward_demodulation,[],[f3769,f1613]) ).
fof(f3769,plain,
( k6_relset_1(sK0,sK1,sK4) = k6_relset_1(sK1,sK0,k6_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4)))
| ~ spl15_67
| ~ spl15_350 ),
inference(resolution,[],[f3666,f604]) ).
fof(f3666,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) )
| ~ spl15_350 ),
inference(avatar_component_clause,[],[f3665]) ).
fof(f11624,plain,
( spl15_678
| ~ spl15_8
| ~ spl15_50
| ~ spl15_649 ),
inference(avatar_split_clause,[],[f11073,f11066,f452,f225,f11622]) ).
fof(f11622,plain,
( spl15_678
<=> ! [X0] : ~ r2_hidden(X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_678])]) ).
fof(f225,plain,
( spl15_8
<=> v1_xboole_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f452,plain,
( spl15_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,[spl15_50])]) ).
fof(f11073,plain,
( ! [X0] :
( ~ v1_xboole_0(sK13)
| ~ r2_hidden(X0,k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4))) )
| ~ spl15_50
| ~ spl15_649 ),
inference(resolution,[],[f11068,f453]) ).
fof(f453,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl15_50 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f11620,plain,
( spl15_677
| ~ spl15_67
| ~ spl15_179
| ~ spl15_339 ),
inference(avatar_split_clause,[],[f3514,f3468,f1611,f602,f11617]) ).
fof(f11617,plain,
( spl15_677
<=> k6_relset_2(sK0,sK1,k4_relat_1(sK4)) = k5_relset_2(sK1,k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_677])]) ).
fof(f3468,plain,
( spl15_339
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k6_relset_1(X0,X1,X2)) = k5_relset_2(X1,k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_339])]) ).
fof(f3514,plain,
( k6_relset_2(sK0,sK1,k4_relat_1(sK4)) = k5_relset_2(sK1,k4_relat_1(sK4))
| ~ spl15_67
| ~ spl15_179
| ~ spl15_339 ),
inference(forward_demodulation,[],[f3507,f1613]) ).
fof(f3507,plain,
( k6_relset_2(sK0,sK1,k6_relset_1(sK0,sK1,sK4)) = k5_relset_2(sK1,k6_relset_1(sK0,sK1,sK4))
| ~ spl15_67
| ~ spl15_339 ),
inference(resolution,[],[f3469,f604]) ).
fof(f3469,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_2(X0,X1,k6_relset_1(X0,X1,X2)) = k5_relset_2(X1,k6_relset_1(X0,X1,X2)) )
| ~ spl15_339 ),
inference(avatar_component_clause,[],[f3468]) ).
fof(f11615,plain,
( spl15_676
| ~ spl15_84
| ~ spl15_112
| ~ spl15_145
| ~ spl15_181 ),
inference(avatar_split_clause,[],[f1709,f1621,f1209,f904,f690,f11613]) ).
fof(f11613,plain,
( spl15_676
<=> ! [X0,X1] :
( m1_subset_1(sK13,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_676])]) ).
fof(f904,plain,
( spl15_112
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).
fof(f1209,plain,
( spl15_145
<=> v1_xboole_0(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_145])]) ).
fof(f1709,plain,
( ! [X0,X1] :
( m1_subset_1(sK13,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK0),X0,X1) )
| ~ spl15_84
| ~ spl15_112
| ~ spl15_145
| ~ spl15_181 ),
inference(forward_demodulation,[],[f1700,f1653]) ).
fof(f1653,plain,
( sK2 = sK13
| ~ spl15_84
| ~ spl15_145 ),
inference(resolution,[],[f1211,f691]) ).
fof(f1211,plain,
( v1_xboole_0(sK2)
| ~ spl15_145 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1700,plain,
( ! [X0,X1] :
( m1_subset_1(sK2,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK0),X0,X1) )
| ~ spl15_112
| ~ spl15_181 ),
inference(resolution,[],[f1622,f905]) ).
fof(f905,plain,
( ! [X2,X0,X1] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl15_112 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f11611,plain,
( spl15_675
| ~ spl15_144
| ~ spl15_187 ),
inference(avatar_split_clause,[],[f1764,f1713,f1205,f11608]) ).
fof(f11608,plain,
( spl15_675
<=> m1_subset_1(sK7(sK13),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_675])]) ).
fof(f1205,plain,
( spl15_144
<=> m1_subset_1(sK7(sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_144])]) ).
fof(f1764,plain,
( m1_subset_1(sK7(sK13),sK0)
| ~ spl15_144
| ~ spl15_187 ),
inference(superposition,[],[f1207,f1715]) ).
fof(f1207,plain,
( m1_subset_1(sK7(sK2),sK0)
| ~ spl15_144 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f11606,plain,
( ~ spl15_673
| spl15_674
| ~ spl15_56
| ~ spl15_646 ),
inference(avatar_split_clause,[],[f11038,f11024,f498,f11603,f11599]) ).
fof(f11599,plain,
( spl15_673
<=> m1_relset_1(k4_relat_1(sK4),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_673])]) ).
fof(f11603,plain,
( spl15_674
<=> m2_relset_1(sK4,sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_674])]) ).
fof(f498,plain,
( spl15_56
<=> ! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
fof(f11024,plain,
( spl15_646
<=> sK4 = k6_relset_1(sK0,sK1,k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_646])]) ).
fof(f11038,plain,
( m2_relset_1(sK4,sK1,sK0)
| ~ m1_relset_1(k4_relat_1(sK4),sK0,sK1)
| ~ spl15_56
| ~ spl15_646 ),
inference(superposition,[],[f499,f11026]) ).
fof(f11026,plain,
( sK4 = k6_relset_1(sK0,sK1,k4_relat_1(sK4))
| ~ spl15_646 ),
inference(avatar_component_clause,[],[f11024]) ).
fof(f499,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl15_56 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f11597,plain,
( ~ spl15_672
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| spl15_671 ),
inference(avatar_split_clause,[],[f11581,f11577,f1823,f1713,f190,f11594]) ).
fof(f11594,plain,
( spl15_672
<=> r2_hidden(k1_zfmisc_1(sK1),k7_relset_2(sK0,sK1,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_672])]) ).
fof(f11577,plain,
( spl15_671
<=> r2_hidden(k1_zfmisc_1(sK1),k8_relset_2(sK0,sK1,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_671])]) ).
fof(f11581,plain,
( ~ r2_hidden(k1_zfmisc_1(sK1),k7_relset_2(sK0,sK1,sK13,sK4))
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| spl15_671 ),
inference(forward_demodulation,[],[f11579,f11168]) ).
fof(f11579,plain,
( ~ r2_hidden(k1_zfmisc_1(sK1),k8_relset_2(sK0,sK1,sK13,sK4))
| spl15_671 ),
inference(avatar_component_clause,[],[f11577]) ).
fof(f11580,plain,
( ~ spl15_671
| ~ spl15_29
| ~ spl15_651 ),
inference(avatar_split_clause,[],[f11141,f11127,f322,f11577]) ).
fof(f11141,plain,
( ~ r2_hidden(k1_zfmisc_1(sK1),k8_relset_2(sK0,sK1,sK13,sK4))
| ~ spl15_29
| ~ spl15_651 ),
inference(resolution,[],[f11129,f323]) ).
fof(f11575,plain,
( spl15_670
| ~ spl15_39
| ~ spl15_649 ),
inference(avatar_split_clause,[],[f11072,f11066,f366,f11572]) ).
fof(f11572,plain,
( spl15_670
<=> r1_tarski(k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_670])]) ).
fof(f366,plain,
( spl15_39
<=> ! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f11072,plain,
( r1_tarski(k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13)
| ~ spl15_39
| ~ spl15_649 ),
inference(resolution,[],[f11068,f367]) ).
fof(f367,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
| ~ spl15_39 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f11570,plain,
( ~ spl15_669
| ~ spl15_40
| spl15_210 ),
inference(avatar_split_clause,[],[f11063,f1911,f370,f11567]) ).
fof(f11567,plain,
( spl15_669
<=> r1_tarski(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_669])]) ).
fof(f11063,plain,
( ~ r1_tarski(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK0)
| ~ spl15_40
| spl15_210 ),
inference(resolution,[],[f1913,f371]) ).
fof(f11565,plain,
( spl15_668
| ~ spl15_74
| ~ spl15_187 ),
inference(avatar_split_clause,[],[f1762,f1713,f634,f11562]) ).
fof(f11562,plain,
( spl15_668
<=> r2_hidden(sK13,k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_668])]) ).
fof(f634,plain,
( spl15_74
<=> r2_hidden(sK2,k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).
fof(f1762,plain,
( r2_hidden(sK13,k1_zfmisc_1(sK0))
| ~ spl15_74
| ~ spl15_187 ),
inference(superposition,[],[f636,f1715]) ).
fof(f636,plain,
( r2_hidden(sK2,k1_zfmisc_1(sK0))
| ~ spl15_74 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f11525,plain,
( spl15_582
| ~ spl15_667
| ~ spl15_50
| ~ spl15_197 ),
inference(avatar_split_clause,[],[f10959,f1793,f452,f11522,f9175]) ).
fof(f9175,plain,
( spl15_582
<=> ! [X0] : ~ r2_hidden(X0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_582])]) ).
fof(f10959,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(sK0,sK1))
| ~ r2_hidden(X0,sK4) )
| ~ spl15_50
| ~ spl15_197 ),
inference(resolution,[],[f1794,f453]) ).
fof(f11520,plain,
( spl15_666
| ~ spl15_67
| ~ spl15_116
| ~ spl15_179
| ~ spl15_335 ),
inference(avatar_split_clause,[],[f10804,f3380,f1611,f955,f602,f11517]) ).
fof(f955,plain,
( spl15_116
<=> sK4 = k4_relat_1(k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_116])]) ).
fof(f3380,plain,
( spl15_335
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_335])]) ).
fof(f10804,plain,
( sK4 = k6_relset_1(sK1,sK0,k4_relat_1(sK4))
| ~ spl15_67
| ~ spl15_116
| ~ spl15_179
| ~ spl15_335 ),
inference(forward_demodulation,[],[f3428,f957]) ).
fof(f957,plain,
( sK4 = k4_relat_1(k4_relat_1(sK4))
| ~ spl15_116 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f3428,plain,
( k4_relat_1(k4_relat_1(sK4)) = k6_relset_1(sK1,sK0,k4_relat_1(sK4))
| ~ spl15_67
| ~ spl15_179
| ~ spl15_335 ),
inference(forward_demodulation,[],[f3418,f1613]) ).
fof(f3418,plain,
( k6_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK4)) = k4_relat_1(k6_relset_1(sK0,sK1,sK4))
| ~ spl15_67
| ~ spl15_335 ),
inference(resolution,[],[f3381,f604]) ).
fof(f3381,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) )
| ~ spl15_335 ),
inference(avatar_component_clause,[],[f3380]) ).
fof(f11427,plain,
( spl15_665
| ~ spl15_39
| ~ spl15_197 ),
inference(avatar_split_clause,[],[f10958,f1793,f366,f11424]) ).
fof(f11424,plain,
( spl15_665
<=> r1_tarski(sK4,k2_zfmisc_1(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_665])]) ).
fof(f10958,plain,
( r1_tarski(sK4,k2_zfmisc_1(sK0,sK1))
| ~ spl15_39
| ~ spl15_197 ),
inference(resolution,[],[f1794,f367]) ).
fof(f11365,plain,
( spl15_664
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_663 ),
inference(avatar_split_clause,[],[f11361,f11358,f1823,f1713,f190,f11363]) ).
fof(f11363,plain,
( spl15_664
<=> ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(k7_relset_2(sK0,sK1,sK13,sK4))))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_664])]) ).
fof(f11358,plain,
( spl15_663
<=> ! [X0] :
( k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_663])]) ).
fof(f11361,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(k7_relset_2(sK0,sK1,sK13,sK4))))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_663 ),
inference(forward_demodulation,[],[f11359,f11168]) ).
fof(f11359,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_663 ),
inference(avatar_component_clause,[],[f11358]) ).
fof(f11360,plain,
( spl15_663
| ~ spl15_171
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10835,f10822,f1473,f11358]) ).
fof(f1473,plain,
( spl15_171
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_171])]) ).
fof(f10822,plain,
( spl15_645
<=> m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_645])]) ).
fof(f10835,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_171
| ~ spl15_645 ),
inference(resolution,[],[f10824,f1474]) ).
fof(f1474,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(X2)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_171 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f10824,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_645 ),
inference(avatar_component_clause,[],[f10822]) ).
fof(f11343,plain,
( spl15_662
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_661 ),
inference(avatar_split_clause,[],[f11339,f11336,f1823,f1713,f190,f11341]) ).
fof(f11341,plain,
( spl15_662
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k7_relset_2(sK0,sK1,sK13,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_662])]) ).
fof(f11336,plain,
( spl15_661
<=> ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_661])]) ).
fof(f11339,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k7_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_661 ),
inference(forward_demodulation,[],[f11337,f11168]) ).
fof(f11337,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_661 ),
inference(avatar_component_clause,[],[f11336]) ).
fof(f11338,plain,
( spl15_661
| ~ spl15_17
| ~ spl15_146
| ~ spl15_168
| ~ spl15_382
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10864,f10822,f4237,f1440,f1214,f264,f11336]) ).
fof(f1214,plain,
( spl15_146
<=> ! [X0,X1] : k6_relset_2(X0,X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))) = k5_relset_2(X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_146])]) ).
fof(f1440,plain,
( spl15_168
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_168])]) ).
fof(f10864,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_17
| ~ spl15_146
| ~ spl15_168
| ~ spl15_382
| ~ spl15_645 ),
inference(forward_demodulation,[],[f10834,f4307]) ).
fof(f4307,plain,
( ! [X2,X0,X1] : k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X2) = k9_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X2)
| ~ spl15_17
| ~ spl15_146
| ~ spl15_382 ),
inference(forward_demodulation,[],[f4298,f1215]) ).
fof(f1215,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))) = k5_relset_2(X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))
| ~ spl15_146 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f4298,plain,
( ! [X2,X0,X1] : k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X2) = k9_relat_1(k6_relset_2(X1,X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),X2)
| ~ spl15_17
| ~ spl15_382 ),
inference(resolution,[],[f4238,f265]) ).
fof(f10834,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_168
| ~ spl15_645 ),
inference(resolution,[],[f10824,f1441]) ).
fof(f1441,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2))) )
| ~ spl15_168 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f11313,plain,
( spl15_660
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_659 ),
inference(avatar_split_clause,[],[f11309,f11306,f1823,f1713,f190,f11311]) ).
fof(f11311,plain,
( spl15_660
<=> ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_660])]) ).
fof(f11306,plain,
( spl15_659
<=> ! [X0] :
( k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_659])]) ).
fof(f11309,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_659 ),
inference(forward_demodulation,[],[f11307,f11168]) ).
fof(f11307,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_659 ),
inference(avatar_component_clause,[],[f11306]) ).
fof(f11308,plain,
( spl15_659
| ~ spl15_164
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10833,f10822,f1384,f11306]) ).
fof(f1384,plain,
( spl15_164
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_164])]) ).
fof(f10833,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_164
| ~ spl15_645 ),
inference(resolution,[],[f10824,f1385]) ).
fof(f1385,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_164 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f11287,plain,
( spl15_658
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_657 ),
inference(avatar_split_clause,[],[f11277,f11274,f1823,f1713,f190,f11285]) ).
fof(f11285,plain,
( spl15_658
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_658])]) ).
fof(f11274,plain,
( spl15_657
<=> ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_657])]) ).
fof(f11277,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_657 ),
inference(forward_demodulation,[],[f11275,f11168]) ).
fof(f11275,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| ~ spl15_657 ),
inference(avatar_component_clause,[],[f11274]) ).
fof(f11276,plain,
( spl15_657
| ~ spl15_161
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10832,f10822,f1350,f11274]) ).
fof(f1350,plain,
( spl15_161
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_161])]) ).
fof(f10832,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| ~ spl15_161
| ~ spl15_645 ),
inference(resolution,[],[f10824,f1351]) ).
fof(f1351,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
| ~ spl15_161 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f11259,plain,
( spl15_656
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_655 ),
inference(avatar_split_clause,[],[f11255,f11252,f1823,f1713,f190,f11257]) ).
fof(f11257,plain,
( spl15_656
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(k7_relset_2(sK0,sK1,sK13,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_656])]) ).
fof(f11252,plain,
( spl15_655
<=> ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_655])]) ).
fof(f11255,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(k7_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_655 ),
inference(forward_demodulation,[],[f11253,f11168]) ).
fof(f11253,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_655 ),
inference(avatar_component_clause,[],[f11252]) ).
fof(f11254,plain,
( spl15_655
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_158
| ~ spl15_382
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10863,f10822,f4237,f1312,f864,f390,f303,f11252]) ).
fof(f1312,plain,
( spl15_158
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_158])]) ).
fof(f10863,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_158
| ~ spl15_382
| ~ spl15_645 ),
inference(forward_demodulation,[],[f10831,f4305]) ).
fof(f10831,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(k8_relset_2(sK0,sK1,sK13,sK4))))
| ~ spl15_158
| ~ spl15_645 ),
inference(resolution,[],[f10824,f1313]) ).
fof(f1313,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(X2))) )
| ~ spl15_158 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f11179,plain,
( spl15_654
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_653 ),
inference(avatar_split_clause,[],[f11175,f11172,f1823,f1713,f190,f11177]) ).
fof(f11172,plain,
( spl15_653
<=> ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_653])]) ).
fof(f11175,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k7_relset_2(sK0,sK1,sK13,sK4),sK13)
| ~ spl15_1
| ~ spl15_187
| ~ spl15_201
| ~ spl15_653 ),
inference(forward_demodulation,[],[f11173,f11168]) ).
fof(f11173,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13)
| ~ spl15_653 ),
inference(avatar_component_clause,[],[f11172]) ).
fof(f11174,plain,
( spl15_653
| ~ spl15_143
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10830,f10822,f1173,f11172]) ).
fof(f10830,plain,
( ! [X0] : k7_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k8_relset_2(sK0,sK1,sK13,sK4),sK13)
| ~ spl15_143
| ~ spl15_645 ),
inference(resolution,[],[f10824,f1174]) ).
fof(f11135,plain,
( spl15_652
| ~ spl15_192
| ~ spl15_197
| ~ spl15_268 ),
inference(avatar_split_clause,[],[f10995,f2568,f1793,f1743,f11132]) ).
fof(f11132,plain,
( spl15_652
<=> v1_relat_1(k5_relset_2(sK0,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_652])]) ).
fof(f10995,plain,
( v1_relat_1(k5_relset_2(sK0,sK4))
| ~ spl15_192
| ~ spl15_197
| ~ spl15_268 ),
inference(forward_demodulation,[],[f10945,f1745]) ).
fof(f10945,plain,
( v1_relat_1(k6_relset_2(sK1,sK0,sK4))
| ~ spl15_197
| ~ spl15_268 ),
inference(resolution,[],[f1794,f2569]) ).
fof(f11130,plain,
( spl15_651
| spl15_77
| ~ spl15_44
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10862,f10822,f410,f650,f11127]) ).
fof(f650,plain,
( spl15_77
<=> v1_xboole_0(k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).
fof(f10862,plain,
( v1_xboole_0(k1_zfmisc_1(sK1))
| r2_hidden(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_44
| ~ spl15_645 ),
inference(resolution,[],[f10824,f411]) ).
fof(f11124,plain,
( spl15_650
| ~ spl15_52
| ~ spl15_645 ),
inference(avatar_split_clause,[],[f10829,f10822,f468,f11122]) ).
fof(f468,plain,
( spl15_52
<=> ! [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,[spl15_52])]) ).
fof(f10829,plain,
( ! [X0] :
( m1_subset_1(X0,sK1)
| ~ r2_hidden(X0,k8_relset_2(sK0,sK1,sK13,sK4)) )
| ~ spl15_52
| ~ spl15_645 ),
inference(resolution,[],[f10824,f469]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl15_52 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f11069,plain,
( spl15_649
| ~ spl15_2
| ~ spl15_211
| ~ spl15_622 ),
inference(avatar_split_clause,[],[f10809,f10369,f1917,f195,f11066]) ).
fof(f1917,plain,
( spl15_211
<=> m1_subset_1(k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_211])]) ).
fof(f10369,plain,
( spl15_622
<=> ! [X0] :
( k8_relset_2(sK1,sK13,X0,k4_relat_1(sK4)) = k7_relset_2(sK1,sK13,X0,k4_relat_1(sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_622])]) ).
fof(f10809,plain,
( m1_subset_1(k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13))
| ~ spl15_2
| ~ spl15_211
| ~ spl15_622 ),
inference(forward_demodulation,[],[f1918,f10383]) ).
fof(f10383,plain,
( k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)) = k7_relset_2(sK1,sK13,sK3,k4_relat_1(sK4))
| ~ spl15_2
| ~ spl15_622 ),
inference(resolution,[],[f10370,f197]) ).
fof(f10370,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| k8_relset_2(sK1,sK13,X0,k4_relat_1(sK4)) = k7_relset_2(sK1,sK13,X0,k4_relat_1(sK4)) )
| ~ spl15_622 ),
inference(avatar_component_clause,[],[f10369]) ).
fof(f1918,plain,
( m1_subset_1(k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13))
| ~ spl15_211 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f11037,plain,
( spl15_648
| ~ spl15_183
| ~ spl15_187 ),
inference(avatar_split_clause,[],[f10810,f1713,f1636,f11034]) ).
fof(f1636,plain,
( spl15_183
<=> r2_hidden(sK7(sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_183])]) ).
fof(f10810,plain,
( r2_hidden(sK7(sK13),sK0)
| ~ spl15_183
| ~ spl15_187 ),
inference(forward_demodulation,[],[f1638,f1715]) ).
fof(f1638,plain,
( r2_hidden(sK7(sK2),sK0)
| ~ spl15_183 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f11032,plain,
( spl15_647
| ~ spl15_180
| ~ spl15_187 ),
inference(avatar_split_clause,[],[f4254,f1713,f1616,f11029]) ).
fof(f11029,plain,
( spl15_647
<=> r1_tarski(k8_relset_2(sK0,sK1,sK13,sK4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_647])]) ).
fof(f1616,plain,
( spl15_180
<=> r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_180])]) ).
fof(f4254,plain,
( r1_tarski(k8_relset_2(sK0,sK1,sK13,sK4),sK1)
| ~ spl15_180
| ~ spl15_187 ),
inference(forward_demodulation,[],[f1617,f1715]) ).
fof(f1617,plain,
( r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1)
| ~ spl15_180 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f11027,plain,
( spl15_646
| ~ spl15_179
| ~ spl15_195 ),
inference(avatar_split_clause,[],[f1780,f1776,f1611,f11024]) ).
fof(f1776,plain,
( spl15_195
<=> sK4 = k6_relset_1(sK0,sK1,k6_relset_1(sK0,sK1,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_195])]) ).
fof(f1780,plain,
( sK4 = k6_relset_1(sK0,sK1,k4_relat_1(sK4))
| ~ spl15_179
| ~ spl15_195 ),
inference(forward_demodulation,[],[f1778,f1613]) ).
fof(f1778,plain,
( sK4 = k6_relset_1(sK0,sK1,k6_relset_1(sK0,sK1,sK4))
| ~ spl15_195 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f10825,plain,
( spl15_645
| ~ spl15_96
| ~ spl15_187 ),
inference(avatar_split_clause,[],[f2121,f1713,f810,f10822]) ).
fof(f810,plain,
( spl15_96
<=> m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).
fof(f2121,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_96
| ~ spl15_187 ),
inference(forward_demodulation,[],[f811,f1715]) ).
fof(f811,plain,
( m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ spl15_96 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f10763,plain,
( ~ spl15_638
| ~ spl15_51
| spl15_574 ),
inference(avatar_split_clause,[],[f8951,f8947,f464,f10678]) ).
fof(f10678,plain,
( spl15_638
<=> m2_relset_1(k4_relat_1(sK4),sK1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_638])]) ).
fof(f8951,plain,
( ~ m2_relset_1(k4_relat_1(sK4),sK1,sK13)
| ~ spl15_51
| spl15_574 ),
inference(resolution,[],[f8949,f465]) ).
fof(f8949,plain,
( ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK13)))
| spl15_574 ),
inference(avatar_component_clause,[],[f8947]) ).
fof(f10723,plain,
( spl15_644
| ~ spl15_2
| ~ spl15_200
| ~ spl15_407 ),
inference(avatar_split_clause,[],[f4935,f4696,f1811,f195,f10721]) ).
fof(f10721,plain,
( spl15_644
<=> ! [X0,X1] : k6_relset_2(X0,X1,k7_relset_2(sK1,k2_zfmisc_1(X1,X0),sK3,sK13)) = k5_relset_2(X1,k7_relset_2(sK1,k2_zfmisc_1(X1,X0),sK3,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_644])]) ).
fof(f4696,plain,
( spl15_407
<=> ! [X0,X3,X2,X1] :
( k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK13)) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_407])]) ).
fof(f4935,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,k7_relset_2(sK1,k2_zfmisc_1(X1,X0),sK3,sK13)) = k5_relset_2(X1,k7_relset_2(sK1,k2_zfmisc_1(X1,X0),sK3,sK13))
| ~ spl15_2
| ~ spl15_200
| ~ spl15_407 ),
inference(forward_demodulation,[],[f4916,f1812]) ).
fof(f4916,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,k8_relset_2(sK1,k2_zfmisc_1(X1,X0),sK3,sK13)) = k5_relset_2(X1,k8_relset_2(sK1,k2_zfmisc_1(X1,X0),sK3,sK13))
| ~ spl15_2
| ~ spl15_407 ),
inference(resolution,[],[f4697,f197]) ).
fof(f4697,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK13)) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK13)) )
| ~ spl15_407 ),
inference(avatar_component_clause,[],[f4696]) ).
fof(f10719,plain,
( spl15_643
| ~ spl15_181
| ~ spl15_184
| ~ spl15_187
| ~ spl15_348 ),
inference(avatar_split_clause,[],[f3743,f3657,f1713,f1659,f1621,f10717]) ).
fof(f10717,plain,
( spl15_643
<=> ! [X2,X0,X1] :
( m1_subset_1(sK13,k8_relset_2(X1,X2,sK13,X0))
| ~ m1_subset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(X2))
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_643])]) ).
fof(f1659,plain,
( spl15_184
<=> sK0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_184])]) ).
fof(f3743,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK13,k8_relset_2(X1,X2,sK13,X0))
| ~ m1_subset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(X2))
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1)) )
| ~ spl15_181
| ~ spl15_184
| ~ spl15_187
| ~ spl15_348 ),
inference(forward_demodulation,[],[f3742,f1715]) ).
fof(f3742,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(X2))
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| m1_subset_1(sK2,k8_relset_2(X1,X2,sK13,X0)) )
| ~ spl15_181
| ~ spl15_184
| ~ spl15_348 ),
inference(forward_demodulation,[],[f3727,f1661]) ).
fof(f1661,plain,
( sK0 = sK13
| ~ spl15_184 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f10715,plain,
( spl15_642
| ~ spl15_182
| ~ spl15_348 ),
inference(avatar_split_clause,[],[f3729,f3657,f1625,f10713]) ).
fof(f10713,plain,
( spl15_642
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| m1_subset_1(sK3,k8_relset_2(X1,X2,sK13,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_642])]) ).
fof(f1625,plain,
( spl15_182
<=> ! [X0] :
( m1_subset_1(sK3,X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_182])]) ).
fof(f3729,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| m1_subset_1(sK3,k8_relset_2(X1,X2,sK13,X0)) )
| ~ spl15_182
| ~ spl15_348 ),
inference(resolution,[],[f3658,f1626]) ).
fof(f1626,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(sK1),X0)
| m1_subset_1(sK3,X0) )
| ~ spl15_182 ),
inference(avatar_component_clause,[],[f1625]) ).
fof(f10710,plain,
( ~ spl15_235
| spl15_641
| ~ spl15_239
| ~ spl15_282 ),
inference(avatar_split_clause,[],[f2776,f2740,f2179,f10708,f2127]) ).
fof(f2127,plain,
( spl15_235
<=> m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_235])]) ).
fof(f10708,plain,
( spl15_641
<=> ! [X0,X1] : v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),k7_relset_2(sK13,sK1,sK13,sK4),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_641])]) ).
fof(f2179,plain,
( spl15_239
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_239])]) ).
fof(f2776,plain,
( ! [X0,X1] :
( v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),k7_relset_2(sK13,sK1,sK13,sK4),sK13))
| ~ m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1)) )
| ~ spl15_239
| ~ spl15_282 ),
inference(superposition,[],[f2741,f2180]) ).
fof(f2180,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13)
| ~ spl15_239 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f10690,plain,
( spl15_640
| ~ spl15_603
| ~ spl15_639 ),
inference(avatar_split_clause,[],[f10686,f10683,f9854,f10688]) ).
fof(f10688,plain,
( spl15_640
<=> ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK13,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_640])]) ).
fof(f10683,plain,
( spl15_639
<=> ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_639])]) ).
fof(f10686,plain,
( ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK13,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK13) )
| ~ spl15_603
| ~ spl15_639 ),
inference(forward_demodulation,[],[f10684,f9855]) ).
fof(f10684,plain,
( ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK13) )
| ~ spl15_639 ),
inference(avatar_component_clause,[],[f10683]) ).
fof(f10685,plain,
( spl15_639
| ~ spl15_40
| ~ spl15_223 ),
inference(avatar_split_clause,[],[f2008,f2005,f370,f10683]) ).
fof(f2008,plain,
( ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(X0)))
| ~ r1_tarski(X0,sK13) )
| ~ spl15_40
| ~ spl15_223 ),
inference(resolution,[],[f2006,f371]) ).
fof(f10681,plain,
( spl15_638
| ~ spl15_48
| ~ spl15_563 ),
inference(avatar_split_clause,[],[f8873,f8869,f426,f10678]) ).
fof(f426,plain,
( spl15_48
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
fof(f8869,plain,
( spl15_563
<=> m1_relset_1(k4_relat_1(sK4),sK1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_563])]) ).
fof(f8873,plain,
( m2_relset_1(k4_relat_1(sK4),sK1,sK13)
| ~ spl15_48
| ~ spl15_563 ),
inference(resolution,[],[f8871,f427]) ).
fof(f427,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl15_48 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f8871,plain,
( m1_relset_1(k4_relat_1(sK4),sK1,sK13)
| ~ spl15_563 ),
inference(avatar_component_clause,[],[f8869]) ).
fof(f10676,plain,
( spl15_637
| ~ spl15_54
| ~ spl15_202 ),
inference(avatar_split_clause,[],[f1834,f1829,f490,f10674]) ).
fof(f10674,plain,
( spl15_637
<=> ! [X0] :
( k7_relset_2(sK13,sK1,k8_setfam_1(sK13,X0),sK4) = k8_relset_2(sK13,sK1,k8_setfam_1(sK13,X0),sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_637])]) ).
fof(f1834,plain,
( ! [X0] :
( k7_relset_2(sK13,sK1,k8_setfam_1(sK13,X0),sK4) = k8_relset_2(sK13,sK1,k8_setfam_1(sK13,X0),sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK13))) )
| ~ spl15_54
| ~ spl15_202 ),
inference(resolution,[],[f1830,f491]) ).
fof(f10611,plain,
( spl15_636
| ~ spl15_2
| ~ spl15_400 ),
inference(avatar_split_clause,[],[f4655,f4537,f195,f10609]) ).
fof(f10609,plain,
( spl15_636
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,k8_setfam_1(k2_zfmisc_1(sK1,X0),sK13)) = k8_relset_2(sK1,X0,sK3,k8_setfam_1(k2_zfmisc_1(sK1,X0),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_636])]) ).
fof(f4537,plain,
( spl15_400
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_400])]) ).
fof(f4655,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,k8_setfam_1(k2_zfmisc_1(sK1,X0),sK13)) = k8_relset_2(sK1,X0,sK3,k8_setfam_1(k2_zfmisc_1(sK1,X0),sK13))
| ~ spl15_2
| ~ spl15_400 ),
inference(resolution,[],[f4538,f197]) ).
fof(f4538,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)) )
| ~ spl15_400 ),
inference(avatar_component_clause,[],[f4537]) ).
fof(f10607,plain,
( spl15_635
| ~ spl15_177
| ~ spl15_184
| ~ spl15_348 ),
inference(avatar_split_clause,[],[f3744,f3657,f1659,f1561,f10605]) ).
fof(f10605,plain,
( spl15_635
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(X2))
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| ~ v1_xboole_0(k8_relset_2(X1,X2,sK13,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_635])]) ).
fof(f3744,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(X2))
| ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| ~ v1_xboole_0(k8_relset_2(X1,X2,sK13,X0)) )
| ~ spl15_177
| ~ spl15_184
| ~ spl15_348 ),
inference(forward_demodulation,[],[f3728,f1661]) ).
fof(f10603,plain,
( spl15_634
| ~ spl15_178
| ~ spl15_348 ),
inference(avatar_split_clause,[],[f3730,f3657,f1581,f10601]) ).
fof(f10601,plain,
( spl15_634
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| ~ v1_xboole_0(k8_relset_2(X1,X2,sK13,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_634])]) ).
fof(f1581,plain,
( spl15_178
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_178])]) ).
fof(f3730,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ m1_subset_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1))
| ~ v1_xboole_0(k8_relset_2(X1,X2,sK13,X0)) )
| ~ spl15_178
| ~ spl15_348 ),
inference(resolution,[],[f3658,f1582]) ).
fof(f1582,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(sK1),X0)
| ~ v1_xboole_0(X0) )
| ~ spl15_178 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f10598,plain,
( spl15_633
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_632 ),
inference(avatar_split_clause,[],[f10592,f10589,f4237,f864,f390,f303,f10596]) ).
fof(f10596,plain,
( spl15_633
<=> ! [X0] :
( ~ r1_tarski(k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(X0))
| r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_633])]) ).
fof(f10589,plain,
( spl15_632
<=> ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ r1_tarski(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_632])]) ).
fof(f10592,plain,
( ! [X0] :
( ~ r1_tarski(k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(X0))
| r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_632 ),
inference(forward_demodulation,[],[f10590,f4305]) ).
fof(f10590,plain,
( ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ r1_tarski(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(X0)) )
| ~ spl15_632 ),
inference(avatar_component_clause,[],[f10589]) ).
fof(f10591,plain,
( spl15_632
| ~ spl15_209
| ~ spl15_251 ),
inference(avatar_split_clause,[],[f2391,f2295,f1907,f10589]) ).
fof(f2295,plain,
( spl15_251
<=> ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,X1),X0)
| ~ r1_tarski(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_251])]) ).
fof(f2391,plain,
( ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ r1_tarski(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),k1_zfmisc_1(X0)) )
| ~ spl15_209
| ~ spl15_251 ),
inference(superposition,[],[f2296,f1908]) ).
fof(f2296,plain,
( ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,X1),X0)
| ~ r1_tarski(X1,k1_zfmisc_1(X0)) )
| ~ spl15_251 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f10587,plain,
( spl15_631
| ~ spl15_202
| ~ spl15_250 ),
inference(avatar_split_clause,[],[f2382,f2291,f1829,f10585]) ).
fof(f10585,plain,
( spl15_631
<=> ! [X0] :
( ~ r1_tarski(X0,k1_zfmisc_1(sK13))
| v1_xboole_0(X0)
| k7_relset_2(sK13,sK1,sK7(X0),sK4) = k8_relset_2(sK13,sK1,sK7(X0),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_631])]) ).
fof(f2382,plain,
( ! [X0] :
( ~ r1_tarski(X0,k1_zfmisc_1(sK13))
| v1_xboole_0(X0)
| k7_relset_2(sK13,sK1,sK7(X0),sK4) = k8_relset_2(sK13,sK1,sK7(X0),sK4) )
| ~ spl15_202
| ~ spl15_250 ),
inference(resolution,[],[f2292,f1830]) ).
fof(f10568,plain,
( spl15_630
| ~ spl15_3
| ~ spl15_184
| ~ spl15_435 ),
inference(avatar_split_clause,[],[f5524,f5510,f1659,f200,f10566]) ).
fof(f10566,plain,
( spl15_630
<=> ! [X0] : k7_relset_2(k2_zfmisc_1(sK13,sK1),X0,sK4,sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(k2_zfmisc_1(sK13,sK1),sK13),k3_pua2mss1(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_630])]) ).
fof(f5524,plain,
( ! [X0] : k7_relset_2(k2_zfmisc_1(sK13,sK1),X0,sK4,sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(k2_zfmisc_1(sK13,sK1),sK13),k3_pua2mss1(sK4)))
| ~ spl15_3
| ~ spl15_184
| ~ spl15_435 ),
inference(forward_demodulation,[],[f5519,f1661]) ).
fof(f10563,plain,
( ~ spl15_198
| spl15_629
| ~ spl15_194
| ~ spl15_352 ),
inference(avatar_split_clause,[],[f3792,f3675,f1753,f10561,f1799]) ).
fof(f1799,plain,
( spl15_198
<=> m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_198])]) ).
fof(f10561,plain,
( spl15_629
<=> ! [X0] :
( ~ r2_hidden(X0,k5_relset_2(sK13,sK4))
| m1_subset_1(X0,k2_zfmisc_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_629])]) ).
fof(f1753,plain,
( spl15_194
<=> k6_relset_2(sK1,sK13,sK4) = k5_relset_2(sK13,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_194])]) ).
fof(f3792,plain,
( ! [X0] :
( ~ r2_hidden(X0,k5_relset_2(sK13,sK4))
| m1_subset_1(X0,k2_zfmisc_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1))) )
| ~ spl15_194
| ~ spl15_352 ),
inference(superposition,[],[f3676,f1755]) ).
fof(f1755,plain,
( k6_relset_2(sK1,sK13,sK4) = k5_relset_2(sK13,sK4)
| ~ spl15_194 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f10551,plain,
( ~ spl15_2
| spl15_628
| ~ spl15_213
| ~ spl15_346 ),
inference(avatar_split_clause,[],[f3654,f3496,f1934,f10549,f195]) ).
fof(f10549,plain,
( spl15_628
<=> ! [X0,X1] : v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,k2_zfmisc_1(X0,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_628])]) ).
fof(f1934,plain,
( spl15_213
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_213])]) ).
fof(f3496,plain,
( spl15_346
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_346])]) ).
fof(f3654,plain,
( ! [X0,X1] :
( v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,k2_zfmisc_1(X0,X1))))))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) )
| ~ spl15_213
| ~ spl15_346 ),
inference(superposition,[],[f3497,f1935]) ).
fof(f1935,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| ~ spl15_213 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f3497,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_346 ),
inference(avatar_component_clause,[],[f3496]) ).
fof(f10547,plain,
( spl15_627
| ~ spl15_202
| ~ spl15_261 ),
inference(avatar_split_clause,[],[f2546,f2430,f1829,f10545]) ).
fof(f10545,plain,
( spl15_627
<=> ! [X0] :
( ~ m1_eqrel_1(X0,sK13)
| v1_xboole_0(X0)
| k7_relset_2(sK13,sK1,sK7(X0),sK4) = k8_relset_2(sK13,sK1,sK7(X0),sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_627])]) ).
fof(f2546,plain,
( ! [X0] :
( ~ m1_eqrel_1(X0,sK13)
| v1_xboole_0(X0)
| k7_relset_2(sK13,sK1,sK7(X0),sK4) = k8_relset_2(sK13,sK1,sK7(X0),sK4) )
| ~ spl15_202
| ~ spl15_261 ),
inference(resolution,[],[f2431,f1830]) ).
fof(f10543,plain,
( ~ spl15_626
| spl15_477
| ~ spl15_25
| ~ spl15_546 ),
inference(avatar_split_clause,[],[f8544,f8372,f299,f6379,f10540]) ).
fof(f10540,plain,
( spl15_626
<=> v1_relat_1(k4_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_626])]) ).
fof(f6379,plain,
( spl15_477
<=> v1_relat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_477])]) ).
fof(f299,plain,
( spl15_25
<=> ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f8372,plain,
( spl15_546
<=> sK1 = k4_relat_1(k4_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_546])]) ).
fof(f8544,plain,
( v1_relat_1(sK1)
| ~ v1_relat_1(k4_relat_1(sK1))
| ~ spl15_25
| ~ spl15_546 ),
inference(superposition,[],[f300,f8374]) ).
fof(f8374,plain,
( sK1 = k4_relat_1(k4_relat_1(sK1))
| ~ spl15_546 ),
inference(avatar_component_clause,[],[f8372]) ).
fof(f300,plain,
( ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) )
| ~ spl15_25 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f10538,plain,
( spl15_625
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_624 ),
inference(avatar_split_clause,[],[f10534,f10531,f4237,f864,f390,f303,f10536]) ).
fof(f10536,plain,
( spl15_625
<=> ! [X0] :
( ~ m1_eqrel_1(k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),X0)
| r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_625])]) ).
fof(f10531,plain,
( spl15_624
<=> ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ m1_eqrel_1(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_624])]) ).
fof(f10534,plain,
( ! [X0] :
( ~ m1_eqrel_1(k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),X0)
| r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_624 ),
inference(forward_demodulation,[],[f10532,f4305]) ).
fof(f10532,plain,
( ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ m1_eqrel_1(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),X0) )
| ~ spl15_624 ),
inference(avatar_component_clause,[],[f10531]) ).
fof(f10533,plain,
( spl15_624
| ~ spl15_209
| ~ spl15_234 ),
inference(avatar_split_clause,[],[f2236,f2113,f1907,f10531]) ).
fof(f2113,plain,
( spl15_234
<=> ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,X1),X0)
| ~ m1_eqrel_1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_234])]) ).
fof(f2236,plain,
( ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ m1_eqrel_1(k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)),X0) )
| ~ spl15_209
| ~ spl15_234 ),
inference(superposition,[],[f2114,f1908]) ).
fof(f2114,plain,
( ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,X1),X0)
| ~ m1_eqrel_1(X1,X0) )
| ~ spl15_234 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f10406,plain,
( ~ spl15_2
| spl15_623
| ~ spl15_62
| ~ spl15_200 ),
inference(avatar_split_clause,[],[f1818,f1811,f553,f10404,f195]) ).
fof(f10404,plain,
( spl15_623
<=> ! [X0] :
( m1_subset_1(k7_relset_2(sK1,X0,sK3,sK13),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_623])]) ).
fof(f1818,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK1,X0,sK3,sK13),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) )
| ~ spl15_62
| ~ spl15_200 ),
inference(superposition,[],[f554,f1812]) ).
fof(f10371,plain,
( spl15_622
| ~ spl15_67
| ~ spl15_179
| ~ spl15_184
| ~ spl15_409 ),
inference(avatar_split_clause,[],[f5109,f4946,f1659,f1611,f602,f10369]) ).
fof(f5109,plain,
( ! [X0] :
( k8_relset_2(sK1,sK13,X0,k4_relat_1(sK4)) = k7_relset_2(sK1,sK13,X0,k4_relat_1(sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1)) )
| ~ spl15_67
| ~ spl15_179
| ~ spl15_184
| ~ spl15_409 ),
inference(forward_demodulation,[],[f5108,f1661]) ).
fof(f10367,plain,
( spl15_621
| ~ spl15_209
| ~ spl15_328 ),
inference(avatar_split_clause,[],[f3357,f3323,f1907,f10365]) ).
fof(f10365,plain,
( spl15_621
<=> ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ m1_subset_1(k5_relset_2(sK1,sK13),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_621])]) ).
fof(f3357,plain,
( ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ m1_subset_1(k5_relset_2(sK1,sK13),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK1),k1_zfmisc_1(X0)))) )
| ~ spl15_209
| ~ spl15_328 ),
inference(superposition,[],[f3324,f1908]) ).
fof(f10334,plain,
( spl15_620
| ~ spl15_84
| ~ spl15_601
| ~ spl15_603
| ~ spl15_619 ),
inference(avatar_split_clause,[],[f10329,f10324,f9854,f9815,f690,f10331]) ).
fof(f10331,plain,
( spl15_620
<=> sK13 = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK13,sK4),k3_pua2mss1(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_620])]) ).
fof(f9815,plain,
( spl15_601
<=> v1_xboole_0(k7_relset_2(sK13,sK1,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_601])]) ).
fof(f10324,plain,
( spl15_619
<=> k7_relset_2(sK13,sK1,sK13,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_619])]) ).
fof(f10329,plain,
( sK13 = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK13,sK4),k3_pua2mss1(sK13)))
| ~ spl15_84
| ~ spl15_601
| ~ spl15_603
| ~ spl15_619 ),
inference(forward_demodulation,[],[f10328,f9825]) ).
fof(f9825,plain,
( sK13 = k7_relset_2(sK13,sK1,sK13,sK4)
| ~ spl15_84
| ~ spl15_601 ),
inference(resolution,[],[f9817,f691]) ).
fof(f9817,plain,
( v1_xboole_0(k7_relset_2(sK13,sK1,sK13,sK4))
| ~ spl15_601 ),
inference(avatar_component_clause,[],[f9815]) ).
fof(f10328,plain,
( k7_relset_2(sK13,sK1,sK13,sK4) = k8_setfam_1(sK1,k9_relat_1(k5_relset_2(sK13,sK4),k3_pua2mss1(sK13)))
| ~ spl15_603
| ~ spl15_619 ),
inference(forward_demodulation,[],[f10326,f9855]) ).
fof(f10326,plain,
( k7_relset_2(sK13,sK1,sK13,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(sK13)))
| ~ spl15_619 ),
inference(avatar_component_clause,[],[f10324]) ).
fof(f10327,plain,
( spl15_619
| ~ spl15_26
| ~ spl15_42
| ~ spl15_223 ),
inference(avatar_split_clause,[],[f2015,f2005,f390,f303,f10324]) ).
fof(f2015,plain,
( k7_relset_2(sK13,sK1,sK13,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(sK13)))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_223 ),
inference(forward_demodulation,[],[f2012,f391]) ).
fof(f2012,plain,
( k7_relset_2(sK13,sK1,sK8(sK13),sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(sK8(sK13))))
| ~ spl15_26
| ~ spl15_223 ),
inference(resolution,[],[f2006,f304]) ).
fof(f10293,plain,
( ~ spl15_2
| spl15_618
| ~ spl15_147
| ~ spl15_200 ),
inference(avatar_split_clause,[],[f1817,f1811,f1220,f10291,f195]) ).
fof(f10291,plain,
( spl15_618
<=> ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_618])]) ).
fof(f1220,plain,
( spl15_147
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| r1_tarski(k8_relset_2(X1,X2,X3,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_147])]) ).
fof(f1817,plain,
( ! [X0] :
( r1_tarski(k7_relset_2(sK1,X0,sK3,sK13),X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(sK1,X0))) )
| ~ spl15_147
| ~ spl15_200 ),
inference(superposition,[],[f1221,f1812]) ).
fof(f1221,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(k8_relset_2(X1,X2,X3,X0),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_147 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f10281,plain,
( spl15_617
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_268 ),
inference(avatar_split_clause,[],[f2622,f2568,f864,f390,f303,f10279]) ).
fof(f10279,plain,
( spl15_617
<=> ! [X1] : v1_relat_1(k5_relset_2(X1,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_617])]) ).
fof(f2622,plain,
( ! [X1] : v1_relat_1(k5_relset_2(X1,sK13))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_268 ),
inference(forward_demodulation,[],[f2621,f865]) ).
fof(f2621,plain,
( ! [X0,X1] : v1_relat_1(k6_relset_2(X0,X1,sK13))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_268 ),
inference(forward_demodulation,[],[f2614,f391]) ).
fof(f2614,plain,
( ! [X0,X1] : v1_relat_1(k6_relset_2(X0,X1,sK8(k2_zfmisc_1(X1,X0))))
| ~ spl15_26
| ~ spl15_268 ),
inference(resolution,[],[f2569,f304]) ).
fof(f10251,plain,
( spl15_616
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| spl15_163
| ~ spl15_377
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f10117,f4237,f4053,f1358,f864,f390,f303,f10249]) ).
fof(f10249,plain,
( spl15_616
<=> ! [X0] : k7_relset_2(sK3,X0,sK5(sK3),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK3,sK13),k3_pua2mss1(sK5(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_616])]) ).
fof(f10117,plain,
( ! [X0] : k7_relset_2(sK3,X0,sK5(sK3),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK3,sK13),k3_pua2mss1(sK5(sK3))))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| spl15_163
| ~ spl15_377
| ~ spl15_382 ),
inference(forward_demodulation,[],[f9445,f4305]) ).
fof(f9445,plain,
( ! [X0] : k7_relset_2(sK3,X0,sK5(sK3),sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK3),X0,k5_relset_2(sK3,sK13),k3_pua2mss1(sK5(sK3))))
| spl15_163
| ~ spl15_377 ),
inference(resolution,[],[f1359,f4054]) ).
fof(f10246,plain,
( spl15_162
| ~ spl15_31
| ~ spl15_266 ),
inference(avatar_split_clause,[],[f2599,f2557,f331,f1354]) ).
fof(f1354,plain,
( spl15_162
<=> m1_subset_1(sK7(sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_162])]) ).
fof(f331,plain,
( spl15_31
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f2557,plain,
( spl15_266
<=> r2_hidden(sK7(sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_266])]) ).
fof(f2599,plain,
( m1_subset_1(sK7(sK3),sK1)
| ~ spl15_31
| ~ spl15_266 ),
inference(resolution,[],[f2559,f332]) ).
fof(f332,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) )
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f2559,plain,
( r2_hidden(sK7(sK3),sK1)
| ~ spl15_266 ),
inference(avatar_component_clause,[],[f2557]) ).
fof(f10129,plain,
( spl15_615
| ~ spl15_26
| ~ spl15_42
| spl15_71
| ~ spl15_106
| ~ spl15_377
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f6799,f4237,f4053,f864,f621,f390,f303,f10127]) ).
fof(f10127,plain,
( spl15_615
<=> ! [X0] : k7_relset_2(sK1,X0,sK5(sK1),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK5(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_615])]) ).
fof(f6799,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK5(sK1),sK13) = k8_setfam_1(X0,k9_relat_1(k5_relset_2(sK1,sK13),k3_pua2mss1(sK5(sK1))))
| ~ spl15_26
| ~ spl15_42
| spl15_71
| ~ spl15_106
| ~ spl15_377
| ~ spl15_382 ),
inference(forward_demodulation,[],[f4193,f4305]) ).
fof(f4193,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK5(sK1),sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK5(sK1))))
| spl15_71
| ~ spl15_377 ),
inference(resolution,[],[f4054,f623]) ).
fof(f10116,plain,
( ~ spl15_587
| ~ spl15_459
| spl15_586 ),
inference(avatar_split_clause,[],[f9389,f9385,f5929,f9391]) ).
fof(f9391,plain,
( spl15_587
<=> r1_tarski(sK13,k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,sK13),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_587])]) ).
fof(f9385,plain,
( spl15_586
<=> r1_tarski(sK3,k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,sK13),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_586])]) ).
fof(f9389,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,sK13),sK13))
| ~ spl15_459
| spl15_586 ),
inference(forward_demodulation,[],[f9387,f5931]) ).
fof(f9387,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,sK13),sK13))
| spl15_586 ),
inference(avatar_component_clause,[],[f9385]) ).
fof(f10049,plain,
( spl15_614
| spl15_163
| ~ spl15_342 ),
inference(avatar_split_clause,[],[f3608,f3480,f1358,f10047]) ).
fof(f10047,plain,
( spl15_614
<=> ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(sK3,X0,sK5(k2_zfmisc_1(X0,sK3))) = k5_relset_2(X0,sK5(k2_zfmisc_1(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_614])]) ).
fof(f3608,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(sK3,X0,sK5(k2_zfmisc_1(X0,sK3))) = k5_relset_2(X0,sK5(k2_zfmisc_1(X0,sK3))) )
| spl15_163
| ~ spl15_342 ),
inference(resolution,[],[f3481,f1359]) ).
fof(f10045,plain,
( spl15_613
| spl15_71
| ~ spl15_342 ),
inference(avatar_split_clause,[],[f3607,f3480,f621,f10043]) ).
fof(f10043,plain,
( spl15_613
<=> ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(sK1,X0,sK5(k2_zfmisc_1(X0,sK1))) = k5_relset_2(X0,sK5(k2_zfmisc_1(X0,sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_613])]) ).
fof(f3607,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(sK1,X0,sK5(k2_zfmisc_1(X0,sK1))) = k5_relset_2(X0,sK5(k2_zfmisc_1(X0,sK1))) )
| spl15_71
| ~ spl15_342 ),
inference(resolution,[],[f3481,f623]) ).
fof(f10041,plain,
( spl15_612
| spl15_163
| ~ spl15_342 ),
inference(avatar_split_clause,[],[f3583,f3480,f1358,f10039]) ).
fof(f10039,plain,
( spl15_612
<=> ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(X0,sK3,sK5(k2_zfmisc_1(sK3,X0))) = k5_relset_2(sK3,sK5(k2_zfmisc_1(sK3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_612])]) ).
fof(f3583,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(X0,sK3,sK5(k2_zfmisc_1(sK3,X0))) = k5_relset_2(sK3,sK5(k2_zfmisc_1(sK3,X0))) )
| spl15_163
| ~ spl15_342 ),
inference(resolution,[],[f3481,f1359]) ).
fof(f10037,plain,
( spl15_611
| spl15_71
| ~ spl15_342 ),
inference(avatar_split_clause,[],[f3582,f3480,f621,f10035]) ).
fof(f10035,plain,
( spl15_611
<=> ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))) = k5_relset_2(sK1,sK5(k2_zfmisc_1(sK1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_611])]) ).
fof(f3582,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))) = k5_relset_2(sK1,sK5(k2_zfmisc_1(sK1,X0))) )
| spl15_71
| ~ spl15_342 ),
inference(resolution,[],[f3481,f623]) ).
fof(f9925,plain,
( spl15_610
| ~ spl15_194
| ~ spl15_198
| ~ spl15_390 ),
inference(avatar_split_clause,[],[f4557,f4493,f1799,f1753,f9922]) ).
fof(f9922,plain,
( spl15_610
<=> k6_relset_2(k1_zfmisc_1(sK1),k1_zfmisc_1(sK13),k5_relset_2(sK13,sK4)) = k5_relset_2(k1_zfmisc_1(sK13),k5_relset_2(sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_610])]) ).
fof(f4557,plain,
( k6_relset_2(k1_zfmisc_1(sK1),k1_zfmisc_1(sK13),k5_relset_2(sK13,sK4)) = k5_relset_2(k1_zfmisc_1(sK13),k5_relset_2(sK13,sK4))
| ~ spl15_194
| ~ spl15_198
| ~ spl15_390 ),
inference(forward_demodulation,[],[f4545,f1755]) ).
fof(f4545,plain,
( k6_relset_2(k1_zfmisc_1(sK1),k1_zfmisc_1(sK13),k6_relset_2(sK1,sK13,sK4)) = k5_relset_2(k1_zfmisc_1(sK13),k6_relset_2(sK1,sK13,sK4))
| ~ spl15_198
| ~ spl15_390 ),
inference(resolution,[],[f4494,f1800]) ).
fof(f1800,plain,
( m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1)))
| ~ spl15_198 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f9913,plain,
( spl15_609
| ~ spl15_2
| ~ spl15_361 ),
inference(avatar_split_clause,[],[f3918,f3711,f195,f9911]) ).
fof(f9911,plain,
( spl15_609
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,k2_zfmisc_1(sK1,X0)) = k8_relset_2(sK1,X0,sK3,k2_zfmisc_1(sK1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_609])]) ).
fof(f3711,plain,
( spl15_361
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) = k8_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_361])]) ).
fof(f3918,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,k2_zfmisc_1(sK1,X0)) = k8_relset_2(sK1,X0,sK3,k2_zfmisc_1(sK1,X0))
| ~ spl15_2
| ~ spl15_361 ),
inference(resolution,[],[f3712,f197]) ).
fof(f3712,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) = k8_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_361 ),
inference(avatar_component_clause,[],[f3711]) ).
fof(f9909,plain,
( spl15_608
| ~ spl15_2
| ~ spl15_359 ),
inference(avatar_split_clause,[],[f3881,f3703,f195,f9907]) ).
fof(f9907,plain,
( spl15_608
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK11(sK1,X0)) = k8_relset_2(sK1,X0,sK3,sK11(sK1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_608])]) ).
fof(f3703,plain,
( spl15_359
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK11(X1,X2)) = k8_relset_2(X1,X2,X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_359])]) ).
fof(f3881,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK11(sK1,X0)) = k8_relset_2(sK1,X0,sK3,sK11(sK1,X0))
| ~ spl15_2
| ~ spl15_359 ),
inference(resolution,[],[f3704,f197]) ).
fof(f3704,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK11(X1,X2)) = k8_relset_2(X1,X2,X0,sK11(X1,X2)) )
| ~ spl15_359 ),
inference(avatar_component_clause,[],[f3703]) ).
fof(f9905,plain,
( spl15_607
| ~ spl15_2
| ~ spl15_358 ),
inference(avatar_split_clause,[],[f3857,f3699,f195,f9903]) ).
fof(f9903,plain,
( spl15_607
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK10(sK1,X0)) = k8_relset_2(sK1,X0,sK3,sK10(sK1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_607])]) ).
fof(f3699,plain,
( spl15_358
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK10(X1,X2)) = k8_relset_2(X1,X2,X0,sK10(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_358])]) ).
fof(f3857,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK10(sK1,X0)) = k8_relset_2(sK1,X0,sK3,sK10(sK1,X0))
| ~ spl15_2
| ~ spl15_358 ),
inference(resolution,[],[f3700,f197]) ).
fof(f3700,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK10(X1,X2)) = k8_relset_2(X1,X2,X0,sK10(X1,X2)) )
| ~ spl15_358 ),
inference(avatar_component_clause,[],[f3699]) ).
fof(f9901,plain,
( spl15_606
| ~ spl15_2
| ~ spl15_357 ),
inference(avatar_split_clause,[],[f3833,f3695,f195,f9899]) ).
fof(f9899,plain,
( spl15_606
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK9(sK1,X0)) = k8_relset_2(sK1,X0,sK3,sK9(sK1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_606])]) ).
fof(f3695,plain,
( spl15_357
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK9(X1,X2)) = k8_relset_2(X1,X2,X0,sK9(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_357])]) ).
fof(f3833,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK9(sK1,X0)) = k8_relset_2(sK1,X0,sK3,sK9(sK1,X0))
| ~ spl15_2
| ~ spl15_357 ),
inference(resolution,[],[f3696,f197]) ).
fof(f3696,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK9(X1,X2)) = k8_relset_2(X1,X2,X0,sK9(X1,X2)) )
| ~ spl15_357 ),
inference(avatar_component_clause,[],[f3695]) ).
fof(f9897,plain,
( spl15_605
| ~ spl15_143
| ~ spl15_198 ),
inference(avatar_split_clause,[],[f2148,f1799,f1173,f9895]) ).
fof(f9895,plain,
( spl15_605
<=> ! [X0] : k7_relset_2(k2_zfmisc_1(sK13,sK1),X0,sK4,sK13) = k8_relset_2(k2_zfmisc_1(sK13,sK1),X0,sK4,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_605])]) ).
fof(f2148,plain,
( ! [X0] : k7_relset_2(k2_zfmisc_1(sK13,sK1),X0,sK4,sK13) = k8_relset_2(k2_zfmisc_1(sK13,sK1),X0,sK4,sK13)
| ~ spl15_143
| ~ spl15_198 ),
inference(resolution,[],[f1800,f1174]) ).
fof(f9893,plain,
( spl15_604
| ~ spl15_17
| ~ spl15_202 ),
inference(avatar_split_clause,[],[f1837,f1829,f264,f9890]) ).
fof(f9890,plain,
( spl15_604
<=> k7_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) = k8_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_604])]) ).
fof(f1837,plain,
( k7_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4) = k8_relset_2(sK13,sK1,sK7(k1_zfmisc_1(sK13)),sK4)
| ~ spl15_17
| ~ spl15_202 ),
inference(resolution,[],[f1830,f265]) ).
fof(f9857,plain,
( spl15_129
| ~ spl15_89
| ~ spl15_582 ),
inference(avatar_split_clause,[],[f9600,f9175,f756,f1062]) ).
fof(f1062,plain,
( spl15_129
<=> v1_xboole_0(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_129])]) ).
fof(f9600,plain,
( v1_xboole_0(sK4)
| ~ spl15_89
| ~ spl15_582 ),
inference(resolution,[],[f9176,f757]) ).
fof(f9176,plain,
( ! [X0] : ~ r2_hidden(X0,sK4)
| ~ spl15_582 ),
inference(avatar_component_clause,[],[f9175]) ).
fof(f9856,plain,
( spl15_603
| ~ spl15_194
| ~ spl15_198
| ~ spl15_382 ),
inference(avatar_split_clause,[],[f4303,f4237,f1799,f1753,f9854]) ).
fof(f4303,plain,
( ! [X0] : k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),X0) = k9_relat_1(k5_relset_2(sK13,sK4),X0)
| ~ spl15_194
| ~ spl15_198
| ~ spl15_382 ),
inference(forward_demodulation,[],[f4292,f1755]) ).
fof(f4292,plain,
( ! [X0] : k4_relset_2(k1_zfmisc_1(sK13),sK1,k6_relset_2(sK1,sK13,sK4),X0) = k9_relat_1(k6_relset_2(sK1,sK13,sK4),X0)
| ~ spl15_198
| ~ spl15_382 ),
inference(resolution,[],[f4238,f1800]) ).
fof(f9822,plain,
( spl15_601
| spl15_602
| ~ spl15_89
| ~ spl15_237 ),
inference(avatar_split_clause,[],[f2166,f2163,f756,f9819,f9815]) ).
fof(f9819,plain,
( spl15_602
<=> m1_subset_1(sK7(k7_relset_2(sK13,sK1,sK13,sK4)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_602])]) ).
fof(f2163,plain,
( spl15_237
<=> ! [X0] :
( m1_subset_1(X0,sK1)
| ~ r2_hidden(X0,k7_relset_2(sK13,sK1,sK13,sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_237])]) ).
fof(f2166,plain,
( m1_subset_1(sK7(k7_relset_2(sK13,sK1,sK13,sK4)),sK1)
| v1_xboole_0(k7_relset_2(sK13,sK1,sK13,sK4))
| ~ spl15_89
| ~ spl15_237 ),
inference(resolution,[],[f2164,f757]) ).
fof(f2164,plain,
( ! [X0] :
( ~ r2_hidden(X0,k7_relset_2(sK13,sK1,sK13,sK4))
| m1_subset_1(X0,sK1) )
| ~ spl15_237 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f9813,plain,
( spl15_600
| ~ spl15_40
| ~ spl15_202 ),
inference(avatar_split_clause,[],[f1832,f1829,f370,f9811]) ).
fof(f9811,plain,
( spl15_600
<=> ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_relset_2(sK13,sK1,X0,sK4)
| ~ r1_tarski(X0,sK13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_600])]) ).
fof(f1832,plain,
( ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_relset_2(sK13,sK1,X0,sK4)
| ~ r1_tarski(X0,sK13) )
| ~ spl15_40
| ~ spl15_202 ),
inference(resolution,[],[f1830,f371]) ).
fof(f9790,plain,
( ~ spl15_198
| spl15_599
| ~ spl15_140
| ~ spl15_194 ),
inference(avatar_split_clause,[],[f1773,f1753,f1161,f9787,f1799]) ).
fof(f9787,plain,
( spl15_599
<=> m1_relset_1(k5_relset_2(sK13,sK4),k1_zfmisc_1(sK13),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_599])]) ).
fof(f1773,plain,
( m1_relset_1(k5_relset_2(sK13,sK4),k1_zfmisc_1(sK13),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1)))
| ~ spl15_140
| ~ spl15_194 ),
inference(superposition,[],[f1162,f1755]) ).
fof(f9784,plain,
( ~ spl15_598
| spl15_36
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1666,f1659,f353,f9781]) ).
fof(f9781,plain,
( spl15_598
<=> r1_tarski(sK3,k8_relset_2(sK13,sK1,k8_relset_2(sK1,sK13,sK3,k6_relset_1(sK13,sK1,sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_598])]) ).
fof(f1666,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK13,sK1,k8_relset_2(sK1,sK13,sK3,k6_relset_1(sK13,sK1,sK4)),sK4))
| spl15_36
| ~ spl15_184 ),
inference(superposition,[],[f355,f1661]) ).
fof(f355,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| spl15_36 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f9714,plain,
( spl15_597
| ~ spl15_314
| ~ spl15_477 ),
inference(avatar_split_clause,[],[f6806,f6379,f3117,f9712]) ).
fof(f9712,plain,
( spl15_597
<=> ! [X0,X1] : k5_relset_2(X0,k5_relset_2(X1,sK1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k5_relset_2(X1,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_597])]) ).
fof(f3117,plain,
( spl15_314
<=> ! [X2,X0,X1] :
( k5_relset_2(X0,k5_relset_2(X1,X2)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k5_relset_2(X1,X2))))
| ~ v1_relat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_314])]) ).
fof(f6806,plain,
( ! [X0,X1] : k5_relset_2(X0,k5_relset_2(X1,sK1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k5_relset_2(X1,sK1))))
| ~ spl15_314
| ~ spl15_477 ),
inference(resolution,[],[f6381,f3118]) ).
fof(f3118,plain,
( ! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k5_relset_2(X0,k5_relset_2(X1,X2)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k5_relset_2(X1,X2)))) )
| ~ spl15_314 ),
inference(avatar_component_clause,[],[f3117]) ).
fof(f6381,plain,
( v1_relat_1(sK1)
| ~ spl15_477 ),
inference(avatar_component_clause,[],[f6379]) ).
fof(f9710,plain,
( ~ spl15_596
| ~ spl15_184
| spl15_580 ),
inference(avatar_split_clause,[],[f9596,f9140,f1659,f9707]) ).
fof(f9707,plain,
( spl15_596
<=> r1_tarski(sK3,k8_relset_2(sK13,sK1,k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_596])]) ).
fof(f9140,plain,
( spl15_580
<=> r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_580])]) ).
fof(f9596,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK13,sK1,k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK4))
| ~ spl15_184
| spl15_580 ),
inference(forward_demodulation,[],[f9142,f1661]) ).
fof(f9142,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4))
| spl15_580 ),
inference(avatar_component_clause,[],[f9140]) ).
fof(f9595,plain,
( spl15_595
| ~ spl15_84
| ~ spl15_129 ),
inference(avatar_split_clause,[],[f9152,f1062,f690,f9592]) ).
fof(f9592,plain,
( spl15_595
<=> sK4 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_595])]) ).
fof(f9152,plain,
( sK4 = sK13
| ~ spl15_84
| ~ spl15_129 ),
inference(resolution,[],[f1064,f691]) ).
fof(f1064,plain,
( v1_xboole_0(sK4)
| ~ spl15_129 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f9589,plain,
( spl15_594
| ~ spl15_194
| ~ spl15_198
| ~ spl15_372
| ~ spl15_408 ),
inference(avatar_split_clause,[],[f5082,f4942,f4032,f1799,f1753,f9586]) ).
fof(f9586,plain,
( spl15_594
<=> k5_relset_2(sK13,sK4) = k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k4_relat_1(k5_relset_2(sK13,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_594])]) ).
fof(f5082,plain,
( k5_relset_2(sK13,sK4) = k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k4_relat_1(k5_relset_2(sK13,sK4)))
| ~ spl15_194
| ~ spl15_198
| ~ spl15_372
| ~ spl15_408 ),
inference(forward_demodulation,[],[f5081,f4120]) ).
fof(f4120,plain,
( k4_relat_1(k5_relset_2(sK13,sK4)) = k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k5_relset_2(sK13,sK4))
| ~ spl15_194
| ~ spl15_198
| ~ spl15_372 ),
inference(forward_demodulation,[],[f4109,f1755]) ).
fof(f4109,plain,
( k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k6_relset_2(sK1,sK13,sK4)) = k4_relat_1(k6_relset_2(sK1,sK13,sK4))
| ~ spl15_198
| ~ spl15_372 ),
inference(resolution,[],[f4033,f1800]) ).
fof(f5081,plain,
( k5_relset_2(sK13,sK4) = k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k5_relset_2(sK13,sK4)))
| ~ spl15_194
| ~ spl15_198
| ~ spl15_408 ),
inference(forward_demodulation,[],[f5066,f1755]) ).
fof(f5066,plain,
( k6_relset_2(sK1,sK13,sK4) = k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k6_relset_2(sK1,sK13,sK4)))
| ~ spl15_198
| ~ spl15_408 ),
inference(resolution,[],[f4943,f1800]) ).
fof(f9583,plain,
( spl15_593
| ~ spl15_194
| ~ spl15_198
| ~ spl15_372 ),
inference(avatar_split_clause,[],[f4120,f4032,f1799,f1753,f9580]) ).
fof(f9580,plain,
( spl15_593
<=> k4_relat_1(k5_relset_2(sK13,sK4)) = k6_relset_1(k1_zfmisc_1(sK13),k1_zfmisc_1(sK1),k5_relset_2(sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_593])]) ).
fof(f9578,plain,
( spl15_592
| spl15_163
| ~ spl15_325 ),
inference(avatar_split_clause,[],[f3306,f3161,f1358,f9576]) ).
fof(f9576,plain,
( spl15_592
<=> ! [X0] : k7_relset_2(sK3,X0,sK5(sK3),sK13) = k8_relset_2(sK3,X0,sK5(sK3),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_592])]) ).
fof(f3306,plain,
( ! [X0] : k7_relset_2(sK3,X0,sK5(sK3),sK13) = k8_relset_2(sK3,X0,sK5(sK3),sK13)
| spl15_163
| ~ spl15_325 ),
inference(resolution,[],[f3162,f1359]) ).
fof(f9574,plain,
( spl15_591
| spl15_71
| ~ spl15_325 ),
inference(avatar_split_clause,[],[f3305,f3161,f621,f9572]) ).
fof(f9572,plain,
( spl15_591
<=> ! [X0] : k7_relset_2(sK1,X0,sK5(sK1),sK13) = k8_relset_2(sK1,X0,sK5(sK1),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_591])]) ).
fof(f3305,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK5(sK1),sK13) = k8_relset_2(sK1,X0,sK5(sK1),sK13)
| spl15_71
| ~ spl15_325 ),
inference(resolution,[],[f3162,f623]) ).
fof(f9568,plain,
( spl15_590
| ~ spl15_222
| ~ spl15_179
| ~ spl15_184
| ~ spl15_316 ),
inference(avatar_split_clause,[],[f3226,f3125,f1659,f1611,f1992,f9566]) ).
fof(f9566,plain,
( spl15_590
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(sK1,sK13))
| ~ r2_hidden(X0,k4_relat_1(sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_590])]) ).
fof(f1992,plain,
( spl15_222
<=> m1_relset_1(sK4,sK13,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_222])]) ).
fof(f3125,plain,
( spl15_316
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_316])]) ).
fof(f3226,plain,
( ! [X0] :
( ~ m1_relset_1(sK4,sK13,sK1)
| m1_subset_1(X0,k2_zfmisc_1(sK1,sK13))
| ~ r2_hidden(X0,k4_relat_1(sK4)) )
| ~ spl15_179
| ~ spl15_184
| ~ spl15_316 ),
inference(forward_demodulation,[],[f3225,f1661]) ).
fof(f3225,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(sK1,sK13))
| ~ r2_hidden(X0,k4_relat_1(sK4))
| ~ m1_relset_1(sK4,sK0,sK1) )
| ~ spl15_179
| ~ spl15_184
| ~ spl15_316 ),
inference(forward_demodulation,[],[f3223,f1661]) ).
fof(f3223,plain,
( ! [X0] :
( ~ r2_hidden(X0,k4_relat_1(sK4))
| m1_subset_1(X0,k2_zfmisc_1(sK1,sK0))
| ~ m1_relset_1(sK4,sK0,sK1) )
| ~ spl15_179
| ~ spl15_316 ),
inference(superposition,[],[f3126,f1613]) ).
fof(f3126,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) )
| ~ spl15_316 ),
inference(avatar_component_clause,[],[f3125]) ).
fof(f9563,plain,
( spl15_589
| ~ spl15_102
| ~ spl15_314 ),
inference(avatar_split_clause,[],[f3194,f3117,f839,f9561]) ).
fof(f9561,plain,
( spl15_589
<=> ! [X0,X1] : k5_relset_2(X0,k5_relset_2(X1,sK4)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k5_relset_2(X1,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_589])]) ).
fof(f839,plain,
( spl15_102
<=> v1_relat_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).
fof(f3194,plain,
( ! [X0,X1] : k5_relset_2(X0,k5_relset_2(X1,sK4)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k5_relset_2(X1,sK4))))
| ~ spl15_102
| ~ spl15_314 ),
inference(resolution,[],[f3118,f841]) ).
fof(f841,plain,
( v1_relat_1(sK4)
| ~ spl15_102 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f9453,plain,
( spl15_588
| ~ spl15_84
| ~ spl15_129
| ~ spl15_583 ),
inference(avatar_split_clause,[],[f9183,f9180,f1062,f690,f9451]) ).
fof(f9451,plain,
( spl15_588
<=> ! [X0] :
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK13),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_588])]) ).
fof(f9180,plain,
( spl15_583
<=> ! [X0] :
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_583])]) ).
fof(f9183,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK13),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_84
| ~ spl15_129
| ~ spl15_583 ),
inference(forward_demodulation,[],[f9181,f9152]) ).
fof(f9181,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_583 ),
inference(avatar_component_clause,[],[f9180]) ).
fof(f9442,plain,
( ~ spl15_8
| ~ spl15_8
| spl15_163
| ~ spl15_540 ),
inference(avatar_split_clause,[],[f9440,f8213,f1358,f225,f225]) ).
fof(f9440,plain,
( ~ v1_xboole_0(sK13)
| ~ spl15_8
| spl15_163
| ~ spl15_540 ),
inference(forward_demodulation,[],[f1359,f9331]) ).
fof(f9331,plain,
( sK3 = sK13
| ~ spl15_8
| ~ spl15_540 ),
inference(resolution,[],[f8214,f227]) ).
fof(f227,plain,
( v1_xboole_0(sK13)
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f9396,plain,
( ~ spl15_79
| spl15_587 ),
inference(avatar_contradiction_clause,[],[f9395]) ).
fof(f9395,plain,
( $false
| ~ spl15_79
| spl15_587 ),
inference(resolution,[],[f9393,f664]) ).
fof(f664,plain,
( ! [X0] : r1_tarski(sK13,X0)
| ~ spl15_79 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl15_79
<=> ! [X0] : r1_tarski(sK13,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).
fof(f9393,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,sK13),sK13))
| spl15_587 ),
inference(avatar_component_clause,[],[f9391]) ).
fof(f9394,plain,
( ~ spl15_587
| ~ spl15_84
| ~ spl15_129
| ~ spl15_184
| ~ spl15_204
| ~ spl15_274
| ~ spl15_459
| spl15_580 ),
inference(avatar_split_clause,[],[f9209,f9140,f5929,f2592,f1844,f1659,f1062,f690,f9391]) ).
fof(f1844,plain,
( spl15_204
<=> sK13 = k4_relat_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_204])]) ).
fof(f2592,plain,
( spl15_274
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK13) = k8_relset_2(X0,X1,sK13,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_274])]) ).
fof(f9209,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK13,sK13),sK13))
| ~ spl15_84
| ~ spl15_129
| ~ spl15_184
| ~ spl15_204
| ~ spl15_274
| ~ spl15_459
| spl15_580 ),
inference(forward_demodulation,[],[f9208,f2593]) ).
fof(f2593,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK13) = k8_relset_2(X0,X1,sK13,sK13)
| ~ spl15_274 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f9208,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK13,sK1,k8_relset_2(sK1,sK13,sK13,sK13),sK13))
| ~ spl15_84
| ~ spl15_129
| ~ spl15_184
| ~ spl15_204
| ~ spl15_459
| spl15_580 ),
inference(forward_demodulation,[],[f9207,f1846]) ).
fof(f1846,plain,
( sK13 = k4_relat_1(sK13)
| ~ spl15_204 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f9207,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK13,sK1,k8_relset_2(sK1,sK13,sK13,k4_relat_1(sK13)),sK13))
| ~ spl15_84
| ~ spl15_129
| ~ spl15_184
| ~ spl15_459
| spl15_580 ),
inference(forward_demodulation,[],[f9145,f9152]) ).
fof(f9145,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK13,sK1,k8_relset_2(sK1,sK13,sK13,k4_relat_1(sK4)),sK4))
| ~ spl15_184
| ~ spl15_459
| spl15_580 ),
inference(forward_demodulation,[],[f9144,f1661]) ).
fof(f9144,plain,
( ~ r1_tarski(sK13,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK13,k4_relat_1(sK4)),sK4))
| ~ spl15_459
| spl15_580 ),
inference(forward_demodulation,[],[f9142,f5931]) ).
fof(f9388,plain,
( ~ spl15_586
| ~ spl15_84
| ~ spl15_129
| ~ spl15_184
| ~ spl15_200
| ~ spl15_204
| spl15_580 ),
inference(avatar_split_clause,[],[f9196,f9140,f1844,f1811,f1659,f1062,f690,f9385]) ).
fof(f9196,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK13,sK1,k7_relset_2(sK1,sK13,sK3,sK13),sK13))
| ~ spl15_84
| ~ spl15_129
| ~ spl15_184
| ~ spl15_200
| ~ spl15_204
| spl15_580 ),
inference(forward_demodulation,[],[f9195,f1661]) ).
fof(f9195,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k7_relset_2(sK1,sK0,sK3,sK13),sK13))
| ~ spl15_84
| ~ spl15_129
| ~ spl15_200
| ~ spl15_204
| spl15_580 ),
inference(forward_demodulation,[],[f9194,f1812]) ).
fof(f9194,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,sK13),sK13))
| ~ spl15_84
| ~ spl15_129
| ~ spl15_204
| spl15_580 ),
inference(forward_demodulation,[],[f9193,f1846]) ).
fof(f9193,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK13)),sK13))
| ~ spl15_84
| ~ spl15_129
| spl15_580 ),
inference(forward_demodulation,[],[f9142,f9152]) ).
fof(f9300,plain,
( ~ spl15_129
| ~ spl15_23
| spl15_128 ),
inference(avatar_split_clause,[],[f1155,f1058,f291,f1062]) ).
fof(f291,plain,
( spl15_23
<=> ! [X0] :
( v1_xboole_0(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f1058,plain,
( spl15_128
<=> v1_xboole_0(k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_128])]) ).
fof(f1155,plain,
( ~ v1_xboole_0(sK4)
| ~ spl15_23
| spl15_128 ),
inference(resolution,[],[f1060,f292]) ).
fof(f292,plain,
( ! [X0] :
( v1_xboole_0(k4_relat_1(X0))
| ~ v1_xboole_0(X0) )
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f1060,plain,
( ~ v1_xboole_0(k4_relat_1(sK4))
| spl15_128 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f9205,plain,
( spl15_163
| ~ spl15_70
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f9198,f756,f618,f1358]) ).
fof(f618,plain,
( spl15_70
<=> ! [X0] : ~ r2_hidden(X0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).
fof(f9198,plain,
( v1_xboole_0(sK3)
| ~ spl15_70
| ~ spl15_89 ),
inference(resolution,[],[f619,f757]) ).
fof(f619,plain,
( ! [X0] : ~ r2_hidden(X0,sK3)
| ~ spl15_70 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f9192,plain,
( spl15_585
| ~ spl15_459
| ~ spl15_584 ),
inference(avatar_split_clause,[],[f9188,f9185,f5929,f9190]) ).
fof(f9190,plain,
( spl15_585
<=> ! [X0,X1] : v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),sK13,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_585])]) ).
fof(f9185,plain,
( spl15_584
<=> ! [X0,X1] : v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),sK3,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_584])]) ).
fof(f9188,plain,
( ! [X0,X1] : v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),sK13,sK13))
| ~ spl15_459
| ~ spl15_584 ),
inference(forward_demodulation,[],[f9186,f5931]) ).
fof(f9186,plain,
( ! [X0,X1] : v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),sK3,sK13))
| ~ spl15_584 ),
inference(avatar_component_clause,[],[f9185]) ).
fof(f9187,plain,
( ~ spl15_2
| spl15_584
| ~ spl15_200
| ~ spl15_282 ),
inference(avatar_split_clause,[],[f2775,f2740,f1811,f9185,f195]) ).
fof(f2775,plain,
( ! [X0,X1] :
( v1_relat_1(k7_relset_2(sK1,k2_zfmisc_1(X0,X1),sK3,sK13))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1)) )
| ~ spl15_200
| ~ spl15_282 ),
inference(superposition,[],[f2741,f1812]) ).
fof(f9182,plain,
( spl15_583
| ~ spl15_119
| ~ spl15_238 ),
inference(avatar_split_clause,[],[f2172,f2168,f968,f9180]) ).
fof(f2168,plain,
( spl15_238
<=> r2_hidden(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_238])]) ).
fof(f2172,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_119
| ~ spl15_238 ),
inference(resolution,[],[f2170,f969]) ).
fof(f2170,plain,
( r2_hidden(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_238 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f9177,plain,
( spl15_582
| ~ spl15_327
| ~ spl15_50
| ~ spl15_198 ),
inference(avatar_split_clause,[],[f2146,f1799,f452,f3312,f9175]) ).
fof(f3312,plain,
( spl15_327
<=> v1_xboole_0(k2_zfmisc_1(sK13,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_327])]) ).
fof(f2146,plain,
( ! [X0] :
( ~ v1_xboole_0(k2_zfmisc_1(sK13,sK1))
| ~ r2_hidden(X0,sK4) )
| ~ spl15_50
| ~ spl15_198 ),
inference(resolution,[],[f1800,f453]) ).
fof(f9149,plain,
( spl15_327
| spl15_581
| ~ spl15_44
| ~ spl15_193 ),
inference(avatar_split_clause,[],[f1757,f1749,f410,f9147,f3312]) ).
fof(f9147,plain,
( spl15_581
<=> ! [X0] :
( ~ r2_hidden(X0,sK4)
| r2_hidden(X0,k2_zfmisc_1(sK13,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_581])]) ).
fof(f1749,plain,
( spl15_193
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(sK13,sK1))
| ~ r2_hidden(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_193])]) ).
fof(f1757,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| v1_xboole_0(k2_zfmisc_1(sK13,sK1))
| r2_hidden(X0,k2_zfmisc_1(sK13,sK1)) )
| ~ spl15_44
| ~ spl15_193 ),
inference(resolution,[],[f1750,f411]) ).
fof(f1750,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(sK13,sK1))
| ~ r2_hidden(X0,sK4) )
| ~ spl15_193 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f9143,plain,
( ~ spl15_580
| spl15_36
| ~ spl15_179 ),
inference(avatar_split_clause,[],[f1628,f1611,f353,f9140]) ).
fof(f1628,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4))
| spl15_36
| ~ spl15_179 ),
inference(superposition,[],[f355,f1613]) ).
fof(f9017,plain,
( spl15_579
| ~ spl15_292
| ~ spl15_477 ),
inference(avatar_split_clause,[],[f6805,f6379,f2823,f9015]) ).
fof(f9015,plain,
( spl15_579
<=> ! [X0] : k5_relset_2(X0,k4_relat_1(sK1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_579])]) ).
fof(f2823,plain,
( spl15_292
<=> ! [X0,X1] :
( k5_relset_2(X0,k4_relat_1(X1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(X1))))
| ~ v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_292])]) ).
fof(f6805,plain,
( ! [X0] : k5_relset_2(X0,k4_relat_1(sK1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(sK1))))
| ~ spl15_292
| ~ spl15_477 ),
inference(resolution,[],[f6381,f2824]) ).
fof(f2824,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X1)
| k5_relset_2(X0,k4_relat_1(X1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(X1)))) )
| ~ spl15_292 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f9013,plain,
( spl15_578
| ~ spl15_102
| ~ spl15_292 ),
inference(avatar_split_clause,[],[f2938,f2823,f839,f9011]) ).
fof(f9011,plain,
( spl15_578
<=> ! [X0] : k5_relset_2(X0,k4_relat_1(sK4)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_578])]) ).
fof(f2938,plain,
( ! [X0] : k5_relset_2(X0,k4_relat_1(sK4)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(sK4))))
| ~ spl15_102
| ~ spl15_292 ),
inference(resolution,[],[f2824,f841]) ).
fof(f9009,plain,
( spl15_577
| ~ spl15_113
| ~ spl15_238 ),
inference(avatar_split_clause,[],[f2173,f2168,f908,f9007]) ).
fof(f9007,plain,
( spl15_577
<=> ! [X0] :
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_577])]) ).
fof(f2173,plain,
( ! [X0] :
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) )
| ~ spl15_113
| ~ spl15_238 ),
inference(resolution,[],[f2170,f909]) ).
fof(f8977,plain,
( ~ spl15_11
| ~ spl15_576 ),
inference(avatar_contradiction_clause,[],[f8962]) ).
fof(f8962,plain,
( $false
| ~ spl15_11
| ~ spl15_576 ),
inference(resolution,[],[f8960,f241]) ).
fof(f8960,plain,
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(sK13,sK1)))
| ~ spl15_576 ),
inference(avatar_component_clause,[],[f8958]) ).
fof(f8958,plain,
( spl15_576
<=> v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(sK13,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_576])]) ).
fof(f8961,plain,
( spl15_575
| spl15_576
| ~ spl15_44
| ~ spl15_198 ),
inference(avatar_split_clause,[],[f2154,f1799,f410,f8958,f8954]) ).
fof(f8954,plain,
( spl15_575
<=> r2_hidden(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_575])]) ).
fof(f2154,plain,
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(sK13,sK1)))
| r2_hidden(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1)))
| ~ spl15_44
| ~ spl15_198 ),
inference(resolution,[],[f1800,f411]) ).
fof(f8950,plain,
( ~ spl15_2
| ~ spl15_574
| ~ spl15_62
| spl15_211 ),
inference(avatar_split_clause,[],[f1921,f1917,f553,f8947,f195]) ).
fof(f1921,plain,
( ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK13)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ spl15_62
| spl15_211 ),
inference(resolution,[],[f1919,f554]) ).
fof(f1919,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13))
| spl15_211 ),
inference(avatar_component_clause,[],[f1917]) ).
fof(f8945,plain,
( spl15_573
| ~ spl15_26
| ~ spl15_42
| ~ spl15_202 ),
inference(avatar_split_clause,[],[f1838,f1829,f390,f303,f8942]) ).
fof(f8942,plain,
( spl15_573
<=> k8_relset_2(sK13,sK1,sK13,sK4) = k7_relset_2(sK13,sK1,sK13,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_573])]) ).
fof(f1838,plain,
( k8_relset_2(sK13,sK1,sK13,sK4) = k7_relset_2(sK13,sK1,sK13,sK4)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_202 ),
inference(forward_demodulation,[],[f1836,f391]) ).
fof(f1836,plain,
( k7_relset_2(sK13,sK1,sK8(sK13),sK4) = k8_relset_2(sK13,sK1,sK8(sK13),sK4)
| ~ spl15_26
| ~ spl15_202 ),
inference(resolution,[],[f1830,f304]) ).
fof(f8937,plain,
( spl15_572
| ~ spl15_459
| ~ spl15_569 ),
inference(avatar_split_clause,[],[f8923,f8920,f5929,f8935]) ).
fof(f8935,plain,
( spl15_572
<=> ! [X0,X1] :
( m1_subset_1(sK13,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_572])]) ).
fof(f8920,plain,
( spl15_569
<=> ! [X0,X1] :
( m1_subset_1(sK3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_569])]) ).
fof(f8923,plain,
( ! [X0,X1] :
( m1_subset_1(sK13,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK1),X0,X1) )
| ~ spl15_459
| ~ spl15_569 ),
inference(forward_demodulation,[],[f8921,f5931]) ).
fof(f8921,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(sK1),X0,X1)
| m1_subset_1(sK3,k2_zfmisc_1(X0,X1)) )
| ~ spl15_569 ),
inference(avatar_component_clause,[],[f8920]) ).
fof(f8933,plain,
( spl15_571
| ~ spl15_67
| ~ spl15_179
| ~ spl15_184
| ~ spl15_339 ),
inference(avatar_split_clause,[],[f3515,f3468,f1659,f1611,f602,f8930]) ).
fof(f3515,plain,
( k5_relset_2(sK1,k4_relat_1(sK4)) = k6_relset_2(sK13,sK1,k4_relat_1(sK4))
| ~ spl15_67
| ~ spl15_179
| ~ spl15_184
| ~ spl15_339 ),
inference(forward_demodulation,[],[f3514,f1661]) ).
fof(f8928,plain,
( ~ spl15_570
| spl15_71
| ~ spl15_23
| ~ spl15_546 ),
inference(avatar_split_clause,[],[f8543,f8372,f291,f621,f8925]) ).
fof(f8925,plain,
( spl15_570
<=> v1_xboole_0(k4_relat_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_570])]) ).
fof(f8543,plain,
( v1_xboole_0(sK1)
| ~ v1_xboole_0(k4_relat_1(sK1))
| ~ spl15_23
| ~ spl15_546 ),
inference(superposition,[],[f292,f8374]) ).
fof(f8922,plain,
( spl15_569
| ~ spl15_112
| ~ spl15_182 ),
inference(avatar_split_clause,[],[f1721,f1625,f904,f8920]) ).
fof(f1721,plain,
( ! [X0,X1] :
( m1_subset_1(sK3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK1),X0,X1) )
| ~ spl15_112
| ~ spl15_182 ),
inference(resolution,[],[f1626,f905]) ).
fof(f8918,plain,
( spl15_568
| ~ spl15_84
| ~ spl15_112
| ~ spl15_145
| ~ spl15_181
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1710,f1659,f1621,f1209,f904,f690,f8916]) ).
fof(f8916,plain,
( spl15_568
<=> ! [X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(sK13),X0,X1)
| m1_subset_1(sK13,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_568])]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(sK13),X0,X1)
| m1_subset_1(sK13,k2_zfmisc_1(X0,X1)) )
| ~ spl15_84
| ~ spl15_112
| ~ spl15_145
| ~ spl15_181
| ~ spl15_184 ),
inference(forward_demodulation,[],[f1709,f1661]) ).
fof(f8908,plain,
( spl15_567
| ~ spl15_121
| ~ spl15_477 ),
inference(avatar_split_clause,[],[f6802,f6379,f1001,f8906]) ).
fof(f8906,plain,
( spl15_567
<=> ! [X0] : k5_relset_2(X0,sK1) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_567])]) ).
fof(f1001,plain,
( spl15_121
<=> ! [X0,X1] :
( k5_relset_2(X0,X1) = k4_relat_1(k4_relat_1(k5_relset_2(X0,X1)))
| ~ v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_121])]) ).
fof(f6802,plain,
( ! [X0] : k5_relset_2(X0,sK1) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK1)))
| ~ spl15_121
| ~ spl15_477 ),
inference(resolution,[],[f6381,f1002]) ).
fof(f1002,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X1)
| k5_relset_2(X0,X1) = k4_relat_1(k4_relat_1(k5_relset_2(X0,X1))) )
| ~ spl15_121 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f8904,plain,
( ~ spl15_565
| spl15_566
| ~ spl15_125
| ~ spl15_196 ),
inference(avatar_split_clause,[],[f1788,f1783,f1020,f8901,f8897]) ).
fof(f8897,plain,
( spl15_565
<=> m1_relset_1(k4_relat_1(sK4),sK13,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_565])]) ).
fof(f8901,plain,
( spl15_566
<=> m1_relset_1(sK4,sK1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_566])]) ).
fof(f1020,plain,
( spl15_125
<=> ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_125])]) ).
fof(f1783,plain,
( spl15_196
<=> sK4 = k6_relset_1(sK13,sK1,k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_196])]) ).
fof(f1788,plain,
( m1_relset_1(sK4,sK1,sK13)
| ~ m1_relset_1(k4_relat_1(sK4),sK13,sK1)
| ~ spl15_125
| ~ spl15_196 ),
inference(superposition,[],[f1021,f1785]) ).
fof(f1785,plain,
( sK4 = k6_relset_1(sK13,sK1,k4_relat_1(sK4))
| ~ spl15_196 ),
inference(avatar_component_clause,[],[f1783]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m1_relset_1(X0,X1,X2) )
| ~ spl15_125 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f8894,plain,
( ~ spl15_67
| spl15_564
| ~ spl15_56
| ~ spl15_179 ),
inference(avatar_split_clause,[],[f1634,f1611,f498,f8891,f602]) ).
fof(f1634,plain,
( m2_relset_1(k4_relat_1(sK4),sK1,sK0)
| ~ m1_relset_1(sK4,sK0,sK1)
| ~ spl15_56
| ~ spl15_179 ),
inference(superposition,[],[f499,f1613]) ).
fof(f8872,plain,
( spl15_563
| ~ spl15_184
| ~ spl15_562 ),
inference(avatar_split_clause,[],[f8867,f8863,f1659,f8869]) ).
fof(f8863,plain,
( spl15_562
<=> m1_relset_1(k4_relat_1(sK4),sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_562])]) ).
fof(f8867,plain,
( m1_relset_1(k4_relat_1(sK4),sK1,sK13)
| ~ spl15_184
| ~ spl15_562 ),
inference(forward_demodulation,[],[f8865,f1661]) ).
fof(f8865,plain,
( m1_relset_1(k4_relat_1(sK4),sK1,sK0)
| ~ spl15_562 ),
inference(avatar_component_clause,[],[f8863]) ).
fof(f8866,plain,
( ~ spl15_67
| spl15_562
| ~ spl15_125
| ~ spl15_179 ),
inference(avatar_split_clause,[],[f1631,f1611,f1020,f8863,f602]) ).
fof(f1631,plain,
( m1_relset_1(k4_relat_1(sK4),sK1,sK0)
| ~ m1_relset_1(sK4,sK0,sK1)
| ~ spl15_125
| ~ spl15_179 ),
inference(superposition,[],[f1021,f1613]) ).
fof(f8861,plain,
( spl15_561
| ~ spl15_112
| ~ spl15_178 ),
inference(avatar_split_clause,[],[f1609,f1581,f904,f8859]) ).
fof(f8859,plain,
( spl15_561
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_561])]) ).
fof(f1609,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK1),X0,X1) )
| ~ spl15_112
| ~ spl15_178 ),
inference(resolution,[],[f1582,f905]) ).
fof(f8856,plain,
( spl15_560
| ~ spl15_112
| ~ spl15_177 ),
inference(avatar_split_clause,[],[f1604,f1561,f904,f8854]) ).
fof(f8854,plain,
( spl15_560
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK0),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_560])]) ).
fof(f1604,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(k1_zfmisc_1(sK0),X0,X1) )
| ~ spl15_112
| ~ spl15_177 ),
inference(resolution,[],[f1562,f905]) ).
fof(f8852,plain,
( spl15_559
| ~ spl15_102
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1036,f1001,f839,f8850]) ).
fof(f8850,plain,
( spl15_559
<=> ! [X0] : k5_relset_2(X0,sK4) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_559])]) ).
fof(f1036,plain,
( ! [X0] : k5_relset_2(X0,sK4) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK4)))
| ~ spl15_102
| ~ spl15_121 ),
inference(resolution,[],[f1002,f841]) ).
fof(f8819,plain,
( spl15_558
| ~ spl15_89
| ~ spl15_484 ),
inference(avatar_split_clause,[],[f6519,f6516,f756,f8816]) ).
fof(f6516,plain,
( spl15_484
<=> ! [X0] : ~ r2_hidden(X0,k7_relset_2(sK13,sK13,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_484])]) ).
fof(f6519,plain,
( v1_xboole_0(k7_relset_2(sK13,sK13,sK13,sK4))
| ~ spl15_89
| ~ spl15_484 ),
inference(resolution,[],[f6517,f757]) ).
fof(f6517,plain,
( ! [X0] : ~ r2_hidden(X0,k7_relset_2(sK13,sK13,sK13,sK4))
| ~ spl15_484 ),
inference(avatar_component_clause,[],[f6516]) ).
fof(f8791,plain,
( spl15_557
| ~ spl15_62
| ~ spl15_176 ),
inference(avatar_split_clause,[],[f1554,f1549,f553,f8789]) ).
fof(f8789,plain,
( spl15_557
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_557])]) ).
fof(f1549,plain,
( spl15_176
<=> ! [X3,X4,X0,X5,X2,X1] :
( k7_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_176])]) ).
fof(f1554,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5)) )
| ~ spl15_62
| ~ spl15_176 ),
inference(resolution,[],[f1550,f554]) ).
fof(f1550,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)),k3_pua2mss1(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_176 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f8747,plain,
( spl15_556
| ~ spl15_62
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f1542,f1537,f553,f8745]) ).
fof(f8745,plain,
( spl15_556
<=> ! [X2,X3,X4,X0,X6,X5,X1,X7] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_556])]) ).
fof(f1537,plain,
( spl15_175
<=> ! [X2,X3,X4,X0,X5,X1] :
( k7_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)) = k8_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_175])]) ).
fof(f1542,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_relset_2(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X6,X7)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X6,k1_zfmisc_1(X5)) )
| ~ spl15_62
| ~ spl15_175 ),
inference(resolution,[],[f1538,f554]) ).
fof(f1538,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)) = k8_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_175 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f8720,plain,
( spl15_555
| ~ spl15_62
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1515,f1510,f553,f8718]) ).
fof(f8718,plain,
( spl15_555
<=> ! [X5,X3,X2,X0,X4,X6,X1,X7] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X5,X6)),X7) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X5,X6)),X7)
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_555])]) ).
fof(f1510,plain,
( spl15_173
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X4,X0),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X4,X0),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_173])]) ).
fof(f1515,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X5,X6)),X7) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X5,X6)),X7)
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) )
| ~ spl15_62
| ~ spl15_173 ),
inference(resolution,[],[f1511,f554]) ).
fof(f1511,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X4,X0),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X4,X0),X5) )
| ~ spl15_173 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f8692,plain,
( spl15_554
| ~ spl15_54
| ~ spl15_176 ),
inference(avatar_split_clause,[],[f1555,f1549,f490,f8690]) ).
fof(f8690,plain,
( spl15_554
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_554])]) ).
fof(f1555,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) )
| ~ spl15_54
| ~ spl15_176 ),
inference(resolution,[],[f1550,f491]) ).
fof(f8608,plain,
( spl15_553
| ~ spl15_65
| ~ spl15_147 ),
inference(avatar_split_clause,[],[f1223,f1220,f590,f8606]) ).
fof(f8606,plain,
( spl15_553
<=> ! [X5,X3,X4,X2,X0,X6,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,k8_relset_2(X3,X4,X5,k6_relset_1(X4,X3,X6)))))
| r1_tarski(X5,k8_relset_2(X4,X3,k8_relset_2(X1,k8_relset_2(X3,X4,X5,k6_relset_1(X4,X3,X6)),X0,X2),X6))
| ~ m2_relset_1(X6,X4,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(k8_relset_2(X1,k8_relset_2(X3,X4,X5,k6_relset_1(X4,X3,X6)),X0,X2),k1_zfmisc_1(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_553])]) ).
fof(f590,plain,
( spl15_65
<=> ! [X4,X0,X3,X2,X1] :
( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
fof(f1223,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,k8_relset_2(X3,X4,X5,k6_relset_1(X4,X3,X6)))))
| r1_tarski(X5,k8_relset_2(X4,X3,k8_relset_2(X1,k8_relset_2(X3,X4,X5,k6_relset_1(X4,X3,X6)),X0,X2),X6))
| ~ m2_relset_1(X6,X4,X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(X3))
| ~ m1_subset_1(k8_relset_2(X1,k8_relset_2(X3,X4,X5,k6_relset_1(X4,X3,X6)),X0,X2),k1_zfmisc_1(X4)) )
| ~ spl15_65
| ~ spl15_147 ),
inference(resolution,[],[f1221,f591]) ).
fof(f591,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_65 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f8581,plain,
( spl15_552
| ~ spl15_62
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1527,f1522,f553,f8579]) ).
fof(f8579,plain,
( spl15_552
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_552])]) ).
fof(f1522,plain,
( spl15_174
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_174])]) ).
fof(f1527,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_62
| ~ spl15_174 ),
inference(resolution,[],[f1523,f554]) ).
fof(f1523,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)),k3_pua2mss1(X2))) )
| ~ spl15_174 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f8518,plain,
( spl15_551
| ~ spl15_37
| ~ spl15_176 ),
inference(avatar_split_clause,[],[f1556,f1549,f358,f8516]) ).
fof(f8516,plain,
( spl15_551
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| v1_xboole_0(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_551])]) ).
fof(f1556,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| v1_xboole_0(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) )
| ~ spl15_37
| ~ spl15_176 ),
inference(resolution,[],[f1550,f359]) ).
fof(f8514,plain,
( spl15_550
| ~ spl15_62
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1478,f1469,f553,f8512]) ).
fof(f8512,plain,
( spl15_550
<=> ! [X5,X3,X2,X0,X4,X6,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X5,X6))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X5,X6)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_550])]) ).
fof(f1469,plain,
( spl15_170
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k6_relset_2(X3,X2,k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) = k5_relset_2(X2,k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_170])]) ).
fof(f1478,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X5,X6))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X5,X6)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) )
| ~ spl15_62
| ~ spl15_170 ),
inference(resolution,[],[f1470,f554]) ).
fof(f1470,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k6_relset_2(X3,X2,k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) = k5_relset_2(X2,k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) )
| ~ spl15_170 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f8486,plain,
( spl15_549
| ~ spl15_54
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f1543,f1537,f490,f8484]) ).
fof(f8484,plain,
( spl15_549
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_549])]) ).
fof(f1543,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,k8_setfam_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)),X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m1_subset_1(X5,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) )
| ~ spl15_54
| ~ spl15_175 ),
inference(resolution,[],[f1538,f491]) ).
fof(f8429,plain,
( spl15_548
| ~ spl15_61
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1528,f1522,f538,f8427]) ).
fof(f8427,plain,
( spl15_548
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_548])]) ).
fof(f538,plain,
( spl15_61
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).
fof(f1528,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) )
| ~ spl15_61
| ~ spl15_174 ),
inference(resolution,[],[f1523,f539]) ).
fof(f539,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_61 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f8425,plain,
( spl15_547
| ~ spl15_54
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1516,f1510,f490,f8423]) ).
fof(f8423,plain,
( spl15_547
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X4)),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X4)),X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_547])]) ).
fof(f1516,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X4)),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))),X4)),X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))) )
| ~ spl15_54
| ~ spl15_173 ),
inference(resolution,[],[f1511,f491]) ).
fof(f8375,plain,
( spl15_546
| ~ spl15_38
| ~ spl15_477 ),
inference(avatar_split_clause,[],[f6800,f6379,f362,f8372]) ).
fof(f6800,plain,
( sK1 = k4_relat_1(k4_relat_1(sK1))
| ~ spl15_38
| ~ spl15_477 ),
inference(resolution,[],[f6381,f363]) ).
fof(f8347,plain,
( spl15_545
| ~ spl15_17
| ~ spl15_176 ),
inference(avatar_split_clause,[],[f1558,f1549,f264,f8345]) ).
fof(f8345,plain,
( spl15_545
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_545])]) ).
fof(f1558,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_17
| ~ spl15_176 ),
inference(resolution,[],[f1550,f265]) ).
fof(f8343,plain,
( spl15_544
| ~ spl15_62
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1461,f1456,f553,f8341]) ).
fof(f8341,plain,
( spl15_544
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_544])]) ).
fof(f1456,plain,
( spl15_169
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)) = k8_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_169])]) ).
fof(f1461,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_relset_2(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X4,X5)))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_62
| ~ spl15_169 ),
inference(resolution,[],[f1457,f554]) ).
fof(f1457,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)) = k8_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)) )
| ~ spl15_169 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f8290,plain,
( spl15_543
| ~ spl15_61
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1488,f1473,f538,f8288]) ).
fof(f8288,plain,
( spl15_543
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k6_relset_2(X1,k1_zfmisc_1(X0),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_543])]) ).
fof(f1488,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k6_relset_2(X1,k1_zfmisc_1(X0),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_61
| ~ spl15_171 ),
inference(resolution,[],[f1474,f539]) ).
fof(f8286,plain,
( spl15_542
| ~ spl15_62
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1423,f1414,f553,f8284]) ).
fof(f8284,plain,
( spl15_542
<=> ! [X2,X3,X4,X0,X5,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X3,X4)),X5) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X3,X4)),X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_542])]) ).
fof(f1414,plain,
( spl15_166
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_166])]) ).
fof(f1423,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X3,X4)),X5) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X3,X4)),X5)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_166 ),
inference(resolution,[],[f1415,f554]) ).
fof(f1415,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))
| k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) )
| ~ spl15_166 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f8255,plain,
( spl15_541
| ~ spl15_54
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1529,f1522,f490,f8253]) ).
fof(f8253,plain,
( spl15_541
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_541])]) ).
fof(f1529,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) )
| ~ spl15_54
| ~ spl15_174 ),
inference(resolution,[],[f1523,f491]) ).
fof(f8228,plain,
( ~ spl15_8
| spl15_163
| ~ spl15_459 ),
inference(avatar_split_clause,[],[f8227,f5929,f1358,f225]) ).
fof(f8227,plain,
( ~ v1_xboole_0(sK13)
| spl15_163
| ~ spl15_459 ),
inference(forward_demodulation,[],[f1359,f5931]) ).
fof(f8215,plain,
( spl15_540
| ~ spl15_41
| ~ spl15_163 ),
inference(avatar_split_clause,[],[f5728,f1358,f374,f8213]) ).
fof(f374,plain,
( spl15_41
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
fof(f5728,plain,
( ! [X0] :
( sK3 = X0
| ~ v1_xboole_0(X0) )
| ~ spl15_41
| ~ spl15_163 ),
inference(resolution,[],[f1360,f375]) ).
fof(f375,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl15_41 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f1360,plain,
( v1_xboole_0(sK3)
| ~ spl15_163 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f8178,plain,
( spl15_539
| ~ spl15_37
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f1544,f1537,f358,f8176]) ).
fof(f8176,plain,
( spl15_539
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| v1_xboole_0(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_539])]) ).
fof(f1544,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK5(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| v1_xboole_0(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) )
| ~ spl15_37
| ~ spl15_175 ),
inference(resolution,[],[f1538,f359]) ).
fof(f8040,plain,
( spl15_538
| ~ spl15_37
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1517,f1510,f358,f8038]) ).
fof(f8038,plain,
( spl15_538
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))),X4) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))),X4)
| v1_xboole_0(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_538])]) ).
fof(f1517,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))),X4) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))),X4)
| v1_xboole_0(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))) )
| ~ spl15_37
| ~ spl15_173 ),
inference(resolution,[],[f1511,f359]) ).
fof(f8036,plain,
( spl15_537
| ~ spl15_65
| ~ spl15_172 ),
inference(avatar_split_clause,[],[f1506,f1497,f590,f8034]) ).
fof(f8034,plain,
( spl15_537
<=> ! [X0,X3,X2,X1] :
( ~ m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_relset_2(X0,X1,X3,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))),k1_zfmisc_1(X1))
| r1_tarski(k8_relset_2(X0,X1,X3,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))),k8_relset_2(X0,X1,X3,X2))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_537])]) ).
fof(f1497,plain,
( spl15_172
<=> ! [X0,X3,X2,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_172])]) ).
fof(f1506,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_relset_2(X0,X1,X3,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))),k1_zfmisc_1(X1))
| r1_tarski(k8_relset_2(X0,X1,X3,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))),k8_relset_2(X0,X1,X3,X2))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl15_65
| ~ spl15_172 ),
inference(duplicate_literal_removal,[],[f1501]) ).
fof(f1501,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(k8_relset_2(X0,X1,X3,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))),k1_zfmisc_1(X1))
| r1_tarski(k8_relset_2(X0,X1,X3,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))),k8_relset_2(X0,X1,X3,X2))
| ~ m2_relset_1(X2,X0,X1)
| ~ m1_subset_1(k8_relset_2(X0,X1,X3,k6_relset_1(X1,X0,k6_relset_1(X0,X1,X2))),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) )
| ~ spl15_65
| ~ spl15_172 ),
inference(resolution,[],[f1498,f591]) ).
fof(f1498,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),k1_zfmisc_1(X1)) )
| ~ spl15_172 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f8032,plain,
( spl15_536
| ~ spl15_62
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1487,f1473,f553,f8030]) ).
fof(f8030,plain,
( spl15_536
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_536])]) ).
fof(f1487,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_171 ),
inference(resolution,[],[f1474,f554]) ).
fof(f7990,plain,
( spl15_535
| ~ spl15_40
| ~ spl15_176 ),
inference(avatar_split_clause,[],[f1553,f1549,f370,f7988]) ).
fof(f7988,plain,
( spl15_535
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ r1_tarski(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_535])]) ).
fof(f1553,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ r1_tarski(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) )
| ~ spl15_40
| ~ spl15_176 ),
inference(resolution,[],[f1550,f371]) ).
fof(f7986,plain,
( spl15_534
| ~ spl15_54
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1479,f1469,f490,f7984]) ).
fof(f7984,plain,
( spl15_534
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X4))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_534])]) ).
fof(f1479,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X4))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)),X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))))) )
| ~ spl15_54
| ~ spl15_170 ),
inference(resolution,[],[f1470,f491]) ).
fof(f7981,plain,
( spl15_533
| ~ spl15_61
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1447,f1440,f538,f7979]) ).
fof(f7979,plain,
( spl15_533
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_533])]) ).
fof(f1447,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_61
| ~ spl15_168 ),
inference(resolution,[],[f1441,f539]) ).
fof(f7866,plain,
( spl15_532
| ~ spl15_51
| ~ spl15_176 ),
inference(avatar_split_clause,[],[f1552,f1549,f464,f7864]) ).
fof(f7864,plain,
( spl15_532
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m2_relset_1(X5,X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_532])]) ).
fof(f1552,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m2_relset_1(X5,X3,k2_zfmisc_1(X1,X2)) )
| ~ spl15_51
| ~ spl15_176 ),
inference(resolution,[],[f1550,f465]) ).
fof(f7862,plain,
( spl15_531
| ~ spl15_51
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1486,f1473,f464,f7860]) ).
fof(f7860,plain,
( spl15_531
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,k6_relset_2(X2,k2_zfmisc_1(X0,X1),sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))),k3_pua2mss1(X3)))
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_531])]) ).
fof(f1486,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,k6_relset_2(X2,k2_zfmisc_1(X0,X1),sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))),k3_pua2mss1(X3)))
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_171 ),
inference(resolution,[],[f1474,f465]) ).
fof(f7858,plain,
( spl15_530
| ~ spl15_61
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1462,f1456,f538,f7856]) ).
fof(f7856,plain,
( spl15_530
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_530])]) ).
fof(f1462,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k4_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) )
| ~ spl15_61
| ~ spl15_169 ),
inference(resolution,[],[f1457,f539]) ).
fof(f7854,plain,
( ~ spl15_529
| spl15_290
| ~ spl15_459 ),
inference(avatar_split_clause,[],[f6066,f5929,f2814,f7851]) ).
fof(f7851,plain,
( spl15_529
<=> r2_hidden(sK1,sK7(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_529])]) ).
fof(f2814,plain,
( spl15_290
<=> r2_hidden(sK1,sK7(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_290])]) ).
fof(f6066,plain,
( ~ r2_hidden(sK1,sK7(sK13))
| spl15_290
| ~ spl15_459 ),
inference(superposition,[],[f2816,f5931]) ).
fof(f2816,plain,
( ~ r2_hidden(sK1,sK7(sK3))
| spl15_290 ),
inference(avatar_component_clause,[],[f2814]) ).
fof(f7849,plain,
( spl15_528
| ~ spl15_65
| ~ spl15_88 ),
inference(avatar_split_clause,[],[f790,f752,f590,f7847]) ).
fof(f7847,plain,
( spl15_528
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k8_relset_2(X0,X1,X2,k6_relset_1(X1,X0,X3)))
| r1_tarski(X2,k8_relset_2(X1,X0,sK5(k8_relset_2(X0,X1,X2,k6_relset_1(X1,X0,X3))),X3))
| ~ m2_relset_1(X3,X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(sK5(k8_relset_2(X0,X1,X2,k6_relset_1(X1,X0,X3))),k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_528])]) ).
fof(f752,plain,
( spl15_88
<=> ! [X0] :
( r1_tarski(sK5(X0),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).
fof(f790,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k8_relset_2(X0,X1,X2,k6_relset_1(X1,X0,X3)))
| r1_tarski(X2,k8_relset_2(X1,X0,sK5(k8_relset_2(X0,X1,X2,k6_relset_1(X1,X0,X3))),X3))
| ~ m2_relset_1(X3,X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(sK5(k8_relset_2(X0,X1,X2,k6_relset_1(X1,X0,X3))),k1_zfmisc_1(X1)) )
| ~ spl15_65
| ~ spl15_88 ),
inference(resolution,[],[f753,f591]) ).
fof(f753,plain,
( ! [X0] :
( r1_tarski(sK5(X0),X0)
| v1_xboole_0(X0) )
| ~ spl15_88 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f7757,plain,
( spl15_527
| ~ spl15_17
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f1546,f1537,f264,f7755]) ).
fof(f7755,plain,
( spl15_527
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_527])]) ).
fof(f1546,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK7(k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_17
| ~ spl15_175 ),
inference(resolution,[],[f1538,f265]) ).
fof(f7720,plain,
( spl15_526
| ~ spl15_11
| ~ spl15_445
| ~ spl15_525 ),
inference(avatar_split_clause,[],[f7716,f7713,f5720,f240,f7718]) ).
fof(f7718,plain,
( spl15_526
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_526])]) ).
fof(f5720,plain,
( spl15_445
<=> ! [X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_445])]) ).
fof(f7713,plain,
( spl15_525
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_525])]) ).
fof(f7716,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_11
| ~ spl15_445
| ~ spl15_525 ),
inference(forward_demodulation,[],[f7714,f5804]) ).
fof(f5804,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))
| ~ spl15_11
| ~ spl15_445 ),
inference(resolution,[],[f5721,f241]) ).
fof(f5721,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) )
| ~ spl15_445 ),
inference(avatar_component_clause,[],[f5720]) ).
fof(f7714,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_525 ),
inference(avatar_component_clause,[],[f7713]) ).
fof(f7715,plain,
( spl15_525
| ~ spl15_37
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1530,f1522,f358,f7713]) ).
fof(f1530,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_37
| ~ spl15_174 ),
inference(resolution,[],[f1523,f359]) ).
fof(f7710,plain,
( spl15_524
| ~ spl15_62
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1446,f1440,f553,f7708]) ).
fof(f7708,plain,
( spl15_524
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_524])]) ).
fof(f1446,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_168 ),
inference(resolution,[],[f1441,f554]) ).
fof(f7706,plain,
( spl15_523
| ~ spl15_61
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1424,f1414,f538,f7704]) ).
fof(f7704,plain,
( spl15_523
<=> ! [X2,X3,X4,X0,X5,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k4_relset_2(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X3,X4)),X5) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k4_relset_2(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X3,X4)),X5)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_523])]) ).
fof(f1424,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k4_relset_2(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X3,X4)),X5) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k4_relset_2(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X3,X4)),X5)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))) )
| ~ spl15_61
| ~ spl15_166 ),
inference(resolution,[],[f1415,f539]) ).
fof(f7696,plain,
( spl15_522
| ~ spl15_62
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1364,f1346,f553,f7694]) ).
fof(f7694,plain,
( spl15_522
<=> ! [X2,X4,X0,X3,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X3,X4))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X3,X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_522])]) ).
fof(f1346,plain,
( spl15_160
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_160])]) ).
fof(f1364,plain,
( ! [X2,X3,X0,X1,X4] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X3,X4))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X3,X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_160 ),
inference(resolution,[],[f1347,f554]) ).
fof(f1347,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))
| k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) )
| ~ spl15_160 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f7660,plain,
( spl15_521
| ~ spl15_59
| ~ spl15_165 ),
inference(avatar_split_clause,[],[f1404,f1400,f529,f7658]) ).
fof(f7658,plain,
( spl15_521
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| k7_relset_2(k1_zfmisc_1(X1),k1_zfmisc_1(X2),X0,k6_relset_2(X2,X1,X3)) = k8_setfam_1(k1_zfmisc_1(X2),k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X1)),k1_zfmisc_1(X2),k6_relset_2(k1_zfmisc_1(X2),k1_zfmisc_1(X1),k6_relset_2(X2,X1,X3)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_521])]) ).
fof(f529,plain,
( spl15_59
<=> ! [X2,X0,X1] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
fof(f1400,plain,
( spl15_165
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_165])]) ).
fof(f1404,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| k7_relset_2(k1_zfmisc_1(X1),k1_zfmisc_1(X2),X0,k6_relset_2(X2,X1,X3)) = k8_setfam_1(k1_zfmisc_1(X2),k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X1)),k1_zfmisc_1(X2),k6_relset_2(k1_zfmisc_1(X2),k1_zfmisc_1(X1),k6_relset_2(X2,X1,X3)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_59
| ~ spl15_165 ),
inference(resolution,[],[f1401,f530]) ).
fof(f530,plain,
( ! [X2,X0,X1] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_59 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f1401,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))) )
| ~ spl15_165 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f7567,plain,
( spl15_520
| ~ spl15_17
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1519,f1510,f264,f7565]) ).
fof(f7565,plain,
( spl15_520
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))),X4) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_520])]) ).
fof(f1519,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))),X4) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))),X4) )
| ~ spl15_17
| ~ spl15_173 ),
inference(resolution,[],[f1511,f265]) ).
fof(f7563,plain,
( spl15_519
| ~ spl15_54
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1463,f1456,f490,f7561]) ).
fof(f7561,plain,
( spl15_519
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_519])]) ).
fof(f1463,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)),X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) )
| ~ spl15_54
| ~ spl15_169 ),
inference(resolution,[],[f1457,f491]) ).
fof(f7559,plain,
( spl15_518
| ~ spl15_61
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1391,f1384,f538,f7557]) ).
fof(f7557,plain,
( spl15_518
<=> ! [X2,X4,X0,X3,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_518])]) ).
fof(f1391,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_61
| ~ spl15_164 ),
inference(resolution,[],[f1385,f539]) ).
fof(f7522,plain,
( spl15_517
| ~ spl15_76
| ~ spl15_459 ),
inference(avatar_split_clause,[],[f6057,f5929,f646,f7519]) ).
fof(f7519,plain,
( spl15_517
<=> r2_hidden(sK13,k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_517])]) ).
fof(f646,plain,
( spl15_76
<=> r2_hidden(sK3,k1_zfmisc_1(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
fof(f6057,plain,
( r2_hidden(sK13,k1_zfmisc_1(sK1))
| ~ spl15_76
| ~ spl15_459 ),
inference(superposition,[],[f648,f5931]) ).
fof(f648,plain,
( r2_hidden(sK3,k1_zfmisc_1(sK1))
| ~ spl15_76 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f7493,plain,
( spl15_516
| ~ spl15_37
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1480,f1469,f358,f7491]) ).
fof(f7491,plain,
( spl15_516
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))
| v1_xboole_0(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_516])]) ).
fof(f1480,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))
| v1_xboole_0(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))) )
| ~ spl15_37
| ~ spl15_170 ),
inference(resolution,[],[f1470,f359]) ).
fof(f7489,plain,
( spl15_515
| ~ spl15_54
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1425,f1414,f490,f7487]) ).
fof(f7487,plain,
( spl15_515
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_515])]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))) )
| ~ spl15_54
| ~ spl15_166 ),
inference(resolution,[],[f1415,f491]) ).
fof(f7429,plain,
( spl15_514
| ~ spl15_17
| ~ spl15_160
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1535,f1522,f1346,f264,f7427]) ).
fof(f7427,plain,
( spl15_514
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_514])]) ).
fof(f1535,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_17
| ~ spl15_160
| ~ spl15_174 ),
inference(forward_demodulation,[],[f1532,f1369]) ).
fof(f1369,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))))
| ~ spl15_17
| ~ spl15_160 ),
inference(resolution,[],[f1347,f265]) ).
fof(f1532,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))),k3_pua2mss1(X0))) )
| ~ spl15_17
| ~ spl15_174 ),
inference(resolution,[],[f1523,f265]) ).
fof(f7424,plain,
( spl15_513
| ~ spl15_51
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1445,f1440,f464,f7422]) ).
fof(f7422,plain,
( spl15_513
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,k5_relset_2(k2_zfmisc_1(X0,X1),sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))),k3_pua2mss1(X3)))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_513])]) ).
fof(f1445,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,k5_relset_2(k2_zfmisc_1(X0,X1),sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))),k3_pua2mss1(X3)))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_168 ),
inference(resolution,[],[f1441,f465]) ).
fof(f7420,plain,
( spl15_512
| ~ spl15_62
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1390,f1384,f553,f7418]) ).
fof(f7418,plain,
( spl15_512
<=> ! [X2,X4,X0,X3,X1] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_512])]) ).
fof(f1390,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_164 ),
inference(resolution,[],[f1385,f554]) ).
fof(f7324,plain,
( spl15_511
| ~ spl15_26
| ~ spl15_42
| ~ spl15_176 ),
inference(avatar_split_clause,[],[f1559,f1549,f390,f303,f7322]) ).
fof(f7322,plain,
( spl15_511
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_511])]) ).
fof(f1559,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_176 ),
inference(forward_demodulation,[],[f1557,f391]) ).
fof(f1557,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK8(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK8(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0)))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_26
| ~ spl15_176 ),
inference(resolution,[],[f1550,f304]) ).
fof(f7320,plain,
( spl15_510
| ~ spl15_40
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f1541,f1537,f370,f7318]) ).
fof(f7318,plain,
( spl15_510
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ r1_tarski(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_510])]) ).
fof(f1541,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ r1_tarski(X5,k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))) )
| ~ spl15_40
| ~ spl15_175 ),
inference(resolution,[],[f1538,f371]) ).
fof(f7316,plain,
( spl15_509
| ~ spl15_61
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1375,f1350,f538,f7314]) ).
fof(f7314,plain,
( spl15_509
<=> ! [X2,X4,X0,X3,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_509])]) ).
fof(f1375,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_61
| ~ spl15_161 ),
inference(resolution,[],[f1351,f539]) ).
fof(f7166,plain,
( spl15_508
| ~ spl15_266
| ~ spl15_459 ),
inference(avatar_split_clause,[],[f6798,f5929,f2557,f7163]) ).
fof(f7163,plain,
( spl15_508
<=> r2_hidden(sK7(sK13),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_508])]) ).
fof(f6798,plain,
( r2_hidden(sK7(sK13),sK1)
| ~ spl15_266
| ~ spl15_459 ),
inference(forward_demodulation,[],[f2559,f5931]) ).
fof(f7050,plain,
( spl15_507
| ~ spl15_51
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f1540,f1537,f464,f7048]) ).
fof(f7048,plain,
( spl15_507
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m2_relset_1(X5,X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_507])]) ).
fof(f1540,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5)) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,X5))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3))
| ~ m2_relset_1(X5,X3,k2_zfmisc_1(X1,X2)) )
| ~ spl15_51
| ~ spl15_175 ),
inference(resolution,[],[f1538,f465]) ).
fof(f7046,plain,
( spl15_506
| ~ spl15_127
| ~ spl15_172 ),
inference(avatar_split_clause,[],[f1505,f1497,f1028,f7044]) ).
fof(f7044,plain,
( spl15_506
<=> ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,sK11(X0,X1)),k4_relat_1(sK11(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,sK11(X0,X1)),k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_506])]) ).
fof(f1028,plain,
( spl15_127
<=> ! [X0,X1] : sK11(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK11(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_127])]) ).
fof(f1505,plain,
( ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,sK11(X0,X1)),k4_relat_1(sK11(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,sK11(X0,X1)),k1_zfmisc_1(X0)) )
| ~ spl15_127
| ~ spl15_172 ),
inference(superposition,[],[f1498,f1029]) ).
fof(f1029,plain,
( ! [X0,X1] : sK11(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK11(X0,X1)))
| ~ spl15_127 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f7042,plain,
( spl15_505
| ~ spl15_126
| ~ spl15_172 ),
inference(avatar_split_clause,[],[f1504,f1497,f1024,f7040]) ).
fof(f7040,plain,
( spl15_505
<=> ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,sK9(X0,X1)),k4_relat_1(sK9(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,sK9(X0,X1)),k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_505])]) ).
fof(f1024,plain,
( spl15_126
<=> ! [X0,X1] : sK9(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK9(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_126])]) ).
fof(f1504,plain,
( ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,sK9(X0,X1)),k4_relat_1(sK9(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,sK9(X0,X1)),k1_zfmisc_1(X0)) )
| ~ spl15_126
| ~ spl15_172 ),
inference(superposition,[],[f1498,f1025]) ).
fof(f1025,plain,
( ! [X0,X1] : sK9(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK9(X0,X1)))
| ~ spl15_126 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f7038,plain,
( spl15_504
| ~ spl15_124
| ~ spl15_172 ),
inference(avatar_split_clause,[],[f1503,f1497,f1016,f7036]) ).
fof(f7036,plain,
( spl15_504
<=> ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,k4_relat_1(sK11(X0,X1))),sK11(X0,X1)))
| ~ m2_relset_1(sK11(X0,X1),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,k4_relat_1(sK11(X0,X1))),k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_504])]) ).
fof(f1016,plain,
( spl15_124
<=> ! [X0,X1] : k4_relat_1(sK11(X0,X1)) = k6_relset_1(X0,X1,sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_124])]) ).
fof(f1503,plain,
( ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,k4_relat_1(sK11(X0,X1))),sK11(X0,X1)))
| ~ m2_relset_1(sK11(X0,X1),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,k4_relat_1(sK11(X0,X1))),k1_zfmisc_1(X0)) )
| ~ spl15_124
| ~ spl15_172 ),
inference(superposition,[],[f1498,f1017]) ).
fof(f1017,plain,
( ! [X0,X1] : k4_relat_1(sK11(X0,X1)) = k6_relset_1(X0,X1,sK11(X0,X1))
| ~ spl15_124 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f7034,plain,
( spl15_503
| ~ spl15_123
| ~ spl15_172 ),
inference(avatar_split_clause,[],[f1502,f1497,f1012,f7032]) ).
fof(f7032,plain,
( spl15_503
<=> ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,k4_relat_1(sK9(X0,X1))),sK9(X0,X1)))
| ~ m2_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,k4_relat_1(sK9(X0,X1))),k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_503])]) ).
fof(f1012,plain,
( spl15_123
<=> ! [X0,X1] : k6_relset_1(X0,X1,sK9(X0,X1)) = k4_relat_1(sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_123])]) ).
fof(f1502,plain,
( ! [X2,X0,X1] :
( r1_tarski(X2,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X2,k4_relat_1(sK9(X0,X1))),sK9(X0,X1)))
| ~ m2_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k8_relset_2(X1,X0,X2,k4_relat_1(sK9(X0,X1))),k1_zfmisc_1(X0)) )
| ~ spl15_123
| ~ spl15_172 ),
inference(superposition,[],[f1498,f1013]) ).
fof(f1013,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK9(X0,X1)) = k4_relat_1(sK9(X0,X1))
| ~ spl15_123 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f7030,plain,
( spl15_502
| ~ spl15_54
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1489,f1473,f490,f7028]) ).
fof(f7028,plain,
( spl15_502
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(k8_setfam_1(X0,X2))))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_502])]) ).
fof(f1489,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(k8_setfam_1(X0,X2))))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54
| ~ spl15_171 ),
inference(resolution,[],[f1474,f491]) ).
fof(f7026,plain,
( spl15_501
| ~ spl15_43
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1485,f1473,f406,f7024]) ).
fof(f7024,plain,
( spl15_501
<=> ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k6_relset_2(X1,k1_zfmisc_1(X0),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))),k3_pua2mss1(X2)))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_eqrel_1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_501])]) ).
fof(f406,plain,
( spl15_43
<=> ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f1485,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k6_relset_2(X1,k1_zfmisc_1(X0),sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))),k3_pua2mss1(X2)))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_43
| ~ spl15_171 ),
inference(resolution,[],[f1474,f407]) ).
fof(f407,plain,
( ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0) )
| ~ spl15_43 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f7022,plain,
( spl15_500
| ~ spl15_62
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1374,f1350,f553,f7020]) ).
fof(f7020,plain,
( spl15_500
<=> ! [X2,X4,X0,X3,X1] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_500])]) ).
fof(f1374,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_161 ),
inference(resolution,[],[f1351,f554]) ).
fof(f7018,plain,
( spl15_499
| ~ spl15_61
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1365,f1346,f538,f7016]) ).
fof(f7016,plain,
( spl15_499
<=> ! [X2,X4,X0,X3,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k4_relset_2(X2,k2_zfmisc_1(X1,X0),X3,X4))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k4_relset_2(X2,k2_zfmisc_1(X1,X0),X3,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_499])]) ).
fof(f1365,plain,
( ! [X2,X3,X0,X1,X4] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k4_relset_2(X2,k2_zfmisc_1(X1,X0),X3,X4))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k4_relset_2(X2,k2_zfmisc_1(X1,X0),X3,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) )
| ~ spl15_61
| ~ spl15_160 ),
inference(resolution,[],[f1347,f539]) ).
fof(f7014,plain,
( spl15_498
| ~ spl15_65
| ~ spl15_83 ),
inference(avatar_split_clause,[],[f742,f686,f590,f7012]) ).
fof(f7012,plain,
( spl15_498
<=> ! [X0,X3,X2,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,sK7(k1_zfmisc_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)))),X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)))),k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_498])]) ).
fof(f686,plain,
( spl15_83
<=> ! [X0] : r1_tarski(sK7(k1_zfmisc_1(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).
fof(f742,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,sK7(k1_zfmisc_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)))),X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)))),k1_zfmisc_1(X1)) )
| ~ spl15_65
| ~ spl15_83 ),
inference(resolution,[],[f687,f591]) ).
fof(f687,plain,
( ! [X0] : r1_tarski(sK7(k1_zfmisc_1(X0)),X0)
| ~ spl15_83 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f6918,plain,
( spl15_497
| ~ spl15_40
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1526,f1522,f370,f6916]) ).
fof(f6916,plain,
( spl15_497
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)),k3_pua2mss1(X0)))
| ~ r1_tarski(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_497])]) ).
fof(f1526,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)),k3_pua2mss1(X0)))
| ~ r1_tarski(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_40
| ~ spl15_174 ),
inference(resolution,[],[f1523,f371]) ).
fof(f6906,plain,
( ~ spl15_8
| ~ spl15_4
| ~ spl15_30
| spl15_71
| ~ spl15_480 ),
inference(avatar_split_clause,[],[f6905,f6464,f621,f326,f205,f225]) ).
fof(f205,plain,
( spl15_4
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f326,plain,
( spl15_30
<=> k1_xboole_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f6464,plain,
( spl15_480
<=> ! [X0] :
( sK1 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_480])]) ).
fof(f6905,plain,
( ~ v1_xboole_0(sK13)
| ~ spl15_4
| ~ spl15_30
| spl15_71
| ~ spl15_480 ),
inference(forward_demodulation,[],[f623,f6840]) ).
fof(f6840,plain,
( sK1 = sK13
| ~ spl15_4
| ~ spl15_30
| ~ spl15_480 ),
inference(forward_demodulation,[],[f6829,f328]) ).
fof(f328,plain,
( k1_xboole_0 = sK13
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f6829,plain,
( k1_xboole_0 = sK1
| ~ spl15_4
| ~ spl15_480 ),
inference(resolution,[],[f6465,f207]) ).
fof(f207,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f6465,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK1 = X0 )
| ~ spl15_480 ),
inference(avatar_component_clause,[],[f6464]) ).
fof(f6904,plain,
( ~ spl15_71
| ~ spl15_13
| ~ spl15_303 ),
inference(avatar_split_clause,[],[f2993,f2957,f248,f621]) ).
fof(f248,plain,
( spl15_13
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f2957,plain,
( spl15_303
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_303])]) ).
fof(f2993,plain,
( ~ v1_xboole_0(sK1)
| ~ spl15_13
| ~ spl15_303 ),
inference(resolution,[],[f2958,f249]) ).
fof(f249,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f2958,plain,
( ! [X0] :
( ~ r1_tarski(sK1,X0)
| ~ v1_xboole_0(X0) )
| ~ spl15_303 ),
inference(avatar_component_clause,[],[f2957]) ).
fof(f6903,plain,
( spl15_496
| ~ spl15_17
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1482,f1469,f264,f6901]) ).
fof(f6901,plain,
( spl15_496
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_496])]) ).
fof(f1482,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2)))))) )
| ~ spl15_17
| ~ spl15_170 ),
inference(resolution,[],[f1470,f265]) ).
fof(f6899,plain,
( spl15_495
| ~ spl15_37
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1464,f1456,f358,f6897]) ).
fof(f6897,plain,
( spl15_495
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_495])]) ).
fof(f1464,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_37
| ~ spl15_169 ),
inference(resolution,[],[f1457,f359]) ).
fof(f6786,plain,
( spl15_494
| ~ spl15_3
| ~ spl15_184
| ~ spl15_478 ),
inference(avatar_split_clause,[],[f6434,f6385,f1659,f200,f6783]) ).
fof(f6783,plain,
( spl15_494
<=> m2_relset_1(sK4,sK13,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_494])]) ).
fof(f6385,plain,
( spl15_478
<=> sK1 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_478])]) ).
fof(f6434,plain,
( m2_relset_1(sK4,sK13,sK13)
| ~ spl15_3
| ~ spl15_184
| ~ spl15_478 ),
inference(forward_demodulation,[],[f6390,f1661]) ).
fof(f6390,plain,
( m2_relset_1(sK4,sK0,sK13)
| ~ spl15_3
| ~ spl15_478 ),
inference(superposition,[],[f202,f6387]) ).
fof(f6387,plain,
( sK1 = sK13
| ~ spl15_478 ),
inference(avatar_component_clause,[],[f6385]) ).
fof(f6781,plain,
( spl15_493
| ~ spl15_43
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1525,f1522,f406,f6779]) ).
fof(f6779,plain,
( spl15_493
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)),k3_pua2mss1(X0)))
| ~ m1_eqrel_1(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_493])]) ).
fof(f1525,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)),k3_pua2mss1(X0)))
| ~ m1_eqrel_1(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl15_43
| ~ spl15_174 ),
inference(resolution,[],[f1523,f407]) ).
fof(f6777,plain,
( spl15_492
| ~ spl15_40
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1514,f1510,f370,f6775]) ).
fof(f6775,plain,
( spl15_492
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_492])]) ).
fof(f1514,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5)
| ~ r1_tarski(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))) )
| ~ spl15_40
| ~ spl15_173 ),
inference(resolution,[],[f1511,f371]) ).
fof(f6773,plain,
( spl15_491
| ~ spl15_37
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1426,f1414,f358,f6771]) ).
fof(f6771,plain,
( spl15_491
<=> ! [X2,X0,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK5(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))),X2) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK5(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))),X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_491])]) ).
fof(f1426,plain,
( ! [X2,X0,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK5(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))),X2) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK5(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))),X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_37
| ~ spl15_166 ),
inference(resolution,[],[f1415,f359]) ).
fof(f6769,plain,
( spl15_490
| ~ spl15_51
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1389,f1384,f464,f6767]) ).
fof(f6767,plain,
( spl15_490
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))) = k8_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_490])]) ).
fof(f1389,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))) = k8_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK5(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))
| v1_xboole_0(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_164 ),
inference(resolution,[],[f1385,f465]) ).
fof(f6738,plain,
( spl15_489
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_488 ),
inference(avatar_split_clause,[],[f6734,f6731,f4237,f864,f390,f303,f6736]) ).
fof(f6736,plain,
( spl15_489
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_489])]) ).
fof(f6731,plain,
( spl15_488
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_488])]) ).
fof(f6734,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_488 ),
inference(forward_demodulation,[],[f6732,f4305]) ).
fof(f6732,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_488 ),
inference(avatar_component_clause,[],[f6731]) ).
fof(f6733,plain,
( spl15_488
| ~ spl15_61
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1325,f1312,f538,f6731]) ).
fof(f1325,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(k4_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_61
| ~ spl15_158 ),
inference(resolution,[],[f1313,f539]) ).
fof(f6703,plain,
( spl15_487
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_486 ),
inference(avatar_split_clause,[],[f6699,f6696,f4237,f864,f390,f303,f6701]) ).
fof(f6701,plain,
( spl15_487
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK13),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_487])]) ).
fof(f6696,plain,
( spl15_486
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_486])]) ).
fof(f6699,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK13),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_486 ),
inference(forward_demodulation,[],[f6697,f4305]) ).
fof(f6697,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_486 ),
inference(avatar_component_clause,[],[f6696]) ).
fof(f6698,plain,
( spl15_486
| ~ spl15_62
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1324,f1312,f553,f6696]) ).
fof(f1324,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(k8_relset_2(X2,X0,X3,X4))))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_158 ),
inference(resolution,[],[f1313,f554]) ).
fof(f6523,plain,
( spl15_485
| ~ spl15_51
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1513,f1510,f464,f6521]) ).
fof(f6521,plain,
( spl15_485
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5)
| ~ m2_relset_1(X4,X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_485])]) ).
fof(f1513,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,X4),X5)
| ~ m2_relset_1(X4,X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))) )
| ~ spl15_51
| ~ spl15_173 ),
inference(resolution,[],[f1511,f465]) ).
fof(f6518,plain,
( ~ spl15_8
| spl15_484
| ~ spl15_50
| ~ spl15_235
| ~ spl15_478 ),
inference(avatar_split_clause,[],[f6510,f6385,f2127,f452,f6516,f225]) ).
fof(f6510,plain,
( ! [X0] :
( ~ r2_hidden(X0,k7_relset_2(sK13,sK13,sK13,sK4))
| ~ v1_xboole_0(sK13) )
| ~ spl15_50
| ~ spl15_235
| ~ spl15_478 ),
inference(forward_demodulation,[],[f6509,f6387]) ).
fof(f6509,plain,
( ! [X0] :
( ~ v1_xboole_0(sK13)
| ~ r2_hidden(X0,k7_relset_2(sK13,sK1,sK13,sK4)) )
| ~ spl15_50
| ~ spl15_235
| ~ spl15_478 ),
inference(forward_demodulation,[],[f2132,f6387]) ).
fof(f2132,plain,
( ! [X0] :
( ~ v1_xboole_0(sK1)
| ~ r2_hidden(X0,k7_relset_2(sK13,sK1,sK13,sK4)) )
| ~ spl15_50
| ~ spl15_235 ),
inference(resolution,[],[f2129,f453]) ).
fof(f2129,plain,
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_235 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f6506,plain,
( ~ spl15_71
| ~ spl15_13
| ~ spl15_303 ),
inference(avatar_split_clause,[],[f2993,f2957,f248,f621]) ).
fof(f6480,plain,
( spl15_483
| ~ spl15_17
| ~ spl15_146
| ~ spl15_382
| ~ spl15_482 ),
inference(avatar_split_clause,[],[f6476,f6473,f4237,f1214,f264,f6478]) ).
fof(f6478,plain,
( spl15_483
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_483])]) ).
fof(f6473,plain,
( spl15_482
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_482])]) ).
fof(f6476,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_17
| ~ spl15_146
| ~ spl15_382
| ~ spl15_482 ),
inference(forward_demodulation,[],[f6474,f4307]) ).
fof(f6474,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_482 ),
inference(avatar_component_clause,[],[f6473]) ).
fof(f6475,plain,
( spl15_482
| ~ spl15_54
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1448,f1440,f490,f6473]) ).
fof(f1448,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54
| ~ spl15_168 ),
inference(resolution,[],[f1441,f491]) ).
fof(f6471,plain,
( spl15_481
| ~ spl15_54
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1366,f1346,f490,f6469]) ).
fof(f6469,plain,
( spl15_481
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X2))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_481])]) ).
fof(f1366,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X2))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)),X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) )
| ~ spl15_54
| ~ spl15_160 ),
inference(resolution,[],[f1347,f491]) ).
fof(f6466,plain,
( spl15_480
| ~ spl15_41
| ~ spl15_71 ),
inference(avatar_split_clause,[],[f6350,f621,f374,f6464]) ).
fof(f6350,plain,
( ! [X0] :
( sK1 = X0
| ~ v1_xboole_0(X0) )
| ~ spl15_41
| ~ spl15_71 ),
inference(resolution,[],[f622,f375]) ).
fof(f622,plain,
( v1_xboole_0(sK1)
| ~ spl15_71 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f6461,plain,
( spl15_479
| ~ spl15_162
| ~ spl15_459 ),
inference(avatar_split_clause,[],[f6347,f5929,f1354,f6458]) ).
fof(f6347,plain,
( m1_subset_1(sK7(sK13),sK1)
| ~ spl15_162
| ~ spl15_459 ),
inference(forward_demodulation,[],[f1356,f5931]) ).
fof(f1356,plain,
( m1_subset_1(sK7(sK3),sK1)
| ~ spl15_162 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f6388,plain,
( spl15_478
| ~ spl15_71
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f6351,f690,f621,f6385]) ).
fof(f6351,plain,
( sK1 = sK13
| ~ spl15_71
| ~ spl15_84 ),
inference(resolution,[],[f622,f691]) ).
fof(f6382,plain,
( spl15_477
| ~ spl15_15
| ~ spl15_71 ),
inference(avatar_split_clause,[],[f6349,f621,f256,f6379]) ).
fof(f256,plain,
( spl15_15
<=> ! [X0] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f6349,plain,
( v1_relat_1(sK1)
| ~ spl15_15
| ~ spl15_71 ),
inference(resolution,[],[f622,f257]) ).
fof(f257,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_relat_1(X0) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f6345,plain,
( ~ spl15_13
| spl15_471 ),
inference(avatar_contradiction_clause,[],[f6344]) ).
fof(f6344,plain,
( $false
| ~ spl15_13
| spl15_471 ),
inference(resolution,[],[f6198,f249]) ).
fof(f6198,plain,
( ~ r1_tarski(sK1,sK1)
| spl15_471 ),
inference(avatar_component_clause,[],[f6196]) ).
fof(f6196,plain,
( spl15_471
<=> r1_tarski(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_471])]) ).
fof(f6343,plain,
( spl15_476
| ~ spl15_62
| ~ spl15_155 ),
inference(avatar_split_clause,[],[f1295,f1276,f553,f6341]) ).
fof(f6341,plain,
( spl15_476
<=> ! [X5,X3,X2,X0,X4,X6,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)),X5,X6)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_476])]) ).
fof(f1276,plain,
( spl15_155
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_155])]) ).
fof(f1295,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,k8_relset_2(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)),X5,X6)))
| ~ m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X4)) )
| ~ spl15_62
| ~ spl15_155 ),
inference(resolution,[],[f1277,f554]) ).
fof(f1277,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) )
| ~ spl15_155 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f6339,plain,
( spl15_475
| ~ spl15_65
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1072,f1028,f590,f6337]) ).
fof(f6337,plain,
( spl15_475
<=> ! [X0,X3,X2,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,sK11(X0,X1)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK11(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_475])]) ).
fof(f1072,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,sK11(X0,X1)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK11(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_65
| ~ spl15_127 ),
inference(superposition,[],[f591,f1029]) ).
fof(f6335,plain,
( spl15_474
| ~ spl15_66
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1071,f1028,f594,f6333]) ).
fof(f6333,plain,
( spl15_474
<=> ! [X0,X3,X2,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,sK11(X0,X1)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK11(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_474])]) ).
fof(f594,plain,
( spl15_66
<=> ! [X2,X4,X0,X3,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
fof(f1071,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,sK11(X0,X1)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK11(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_66
| ~ spl15_127 ),
inference(superposition,[],[f595,f1029]) ).
fof(f595,plain,
( ! [X2,X3,X0,X1,X4] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_66 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f6331,plain,
( spl15_473
| ~ spl15_65
| ~ spl15_126 ),
inference(avatar_split_clause,[],[f1068,f1024,f590,f6329]) ).
fof(f6329,plain,
( spl15_473
<=> ! [X0,X3,X2,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,sK9(X0,X1)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK9(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_473])]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,sK9(X0,X1)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK9(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_65
| ~ spl15_126 ),
inference(superposition,[],[f591,f1025]) ).
fof(f6327,plain,
( spl15_472
| ~ spl15_66
| ~ spl15_126 ),
inference(avatar_split_clause,[],[f1067,f1024,f594,f6325]) ).
fof(f6325,plain,
( spl15_472
<=> ! [X0,X3,X2,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,sK9(X0,X1)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK9(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_472])]) ).
fof(f1067,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,sK9(X0,X1)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,k4_relat_1(sK9(X0,X1))))
| ~ m2_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_66
| ~ spl15_126 ),
inference(superposition,[],[f595,f1025]) ).
fof(f6199,plain,
( ~ spl15_471
| spl15_162
| ~ spl15_412 ),
inference(avatar_split_clause,[],[f5756,f4958,f1354,f6196]) ).
fof(f4958,plain,
( spl15_412
<=> ! [X0] :
( m1_subset_1(sK7(sK3),X0)
| ~ r1_tarski(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_412])]) ).
fof(f5756,plain,
( ~ r1_tarski(sK1,sK1)
| spl15_162
| ~ spl15_412 ),
inference(resolution,[],[f1355,f4959]) ).
fof(f4959,plain,
( ! [X0] :
( m1_subset_1(sK7(sK3),X0)
| ~ r1_tarski(sK1,X0) )
| ~ spl15_412 ),
inference(avatar_component_clause,[],[f4958]) ).
fof(f1355,plain,
( ~ m1_subset_1(sK7(sK3),sK1)
| spl15_162 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f6194,plain,
( spl15_470
| ~ spl15_17
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1466,f1456,f264,f6192]) ).
fof(f6192,plain,
( spl15_470
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_470])]) ).
fof(f1466,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) )
| ~ spl15_17
| ~ spl15_169 ),
inference(resolution,[],[f1457,f265]) ).
fof(f6189,plain,
( spl15_469
| ~ spl15_43
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1444,f1440,f406,f6187]) ).
fof(f6187,plain,
( spl15_469
<=> ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))),k3_pua2mss1(X2)))
| ~ m1_eqrel_1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_469])]) ).
fof(f1444,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))),k3_pua2mss1(X2)))
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_43
| ~ spl15_168 ),
inference(resolution,[],[f1441,f407]) ).
fof(f6185,plain,
( spl15_468
| ~ spl15_65
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1050,f1016,f590,f6183]) ).
fof(f6183,plain,
( spl15_468
<=> ! [X0,X3,X2,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK11(X0,X1))))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,sK11(X0,X1)))
| ~ m2_relset_1(sK11(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_468])]) ).
fof(f1050,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK11(X0,X1))))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,sK11(X0,X1)))
| ~ m2_relset_1(sK11(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_65
| ~ spl15_124 ),
inference(superposition,[],[f591,f1017]) ).
fof(f6181,plain,
( spl15_467
| ~ spl15_66
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1049,f1016,f594,f6179]) ).
fof(f6179,plain,
( spl15_467
<=> ! [X0,X3,X2,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK11(X0,X1))))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,sK11(X0,X1)))
| ~ m2_relset_1(sK11(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_467])]) ).
fof(f1049,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK11(X0,X1))))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,sK11(X0,X1)))
| ~ m2_relset_1(sK11(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_66
| ~ spl15_124 ),
inference(superposition,[],[f595,f1017]) ).
fof(f6177,plain,
( spl15_466
| ~ spl15_65
| ~ spl15_123 ),
inference(avatar_split_clause,[],[f1047,f1012,f590,f6175]) ).
fof(f6175,plain,
( spl15_466
<=> ! [X0,X3,X2,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK9(X0,X1))))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,sK9(X0,X1)))
| ~ m2_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_466])]) ).
fof(f1047,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK9(X0,X1))))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,sK9(X0,X1)))
| ~ m2_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_65
| ~ spl15_123 ),
inference(superposition,[],[f591,f1013]) ).
fof(f6173,plain,
( spl15_465
| ~ spl15_66
| ~ spl15_123 ),
inference(avatar_split_clause,[],[f1046,f1012,f594,f6171]) ).
fof(f6171,plain,
( spl15_465
<=> ! [X0,X3,X2,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK9(X0,X1))))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,sK9(X0,X1)))
| ~ m2_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_465])]) ).
fof(f1046,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k4_relat_1(sK9(X0,X1))))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,sK9(X0,X1)))
| ~ m2_relset_1(sK9(X0,X1),X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_66
| ~ spl15_123 ),
inference(superposition,[],[f595,f1013]) ).
fof(f6052,plain,
( spl15_464
| ~ spl15_17
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1494,f1473,f264,f6050]) ).
fof(f6050,plain,
( spl15_464
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(sK7(k1_zfmisc_1(X0)))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_464])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(sK7(k1_zfmisc_1(X0)))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_17
| ~ spl15_171 ),
inference(resolution,[],[f1474,f265]) ).
fof(f6048,plain,
( spl15_463
| ~ spl15_37
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1492,f1473,f358,f6046]) ).
fof(f6046,plain,
( spl15_463
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(sK5(X0))))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_463])]) ).
fof(f1492,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(sK5(X0))))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_171 ),
inference(resolution,[],[f1474,f359]) ).
fof(f6044,plain,
( spl15_462
| ~ spl15_56
| ~ spl15_165 ),
inference(avatar_split_clause,[],[f1403,f1400,f498,f6042]) ).
fof(f6042,plain,
( spl15_462
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k6_relset_1(X2,X1,X3)),k3_pua2mss1(X0)))
| ~ m1_relset_1(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_462])]) ).
fof(f1403,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k6_relset_1(X2,X1,X3)),k3_pua2mss1(X0)))
| ~ m1_relset_1(X3,X2,X1) )
| ~ spl15_56
| ~ spl15_165 ),
inference(resolution,[],[f1401,f499]) ).
fof(f6040,plain,
( spl15_461
| ~ spl15_59
| ~ spl15_152 ),
inference(avatar_split_clause,[],[f1262,f1254,f529,f6038]) ).
fof(f6038,plain,
( spl15_461
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| k7_relset_2(k1_zfmisc_1(X1),k1_zfmisc_1(X2),X0,k6_relset_2(X2,X1,X3)) = k8_relset_2(k1_zfmisc_1(X1),k1_zfmisc_1(X2),X0,k6_relset_2(X2,X1,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_461])]) ).
fof(f1254,plain,
( spl15_152
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_152])]) ).
fof(f1262,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| k7_relset_2(k1_zfmisc_1(X1),k1_zfmisc_1(X2),X0,k6_relset_2(X2,X1,X3)) = k8_relset_2(k1_zfmisc_1(X1),k1_zfmisc_1(X2),X0,k6_relset_2(X2,X1,X3))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_59
| ~ spl15_152 ),
inference(resolution,[],[f1255,f530]) ).
fof(f1255,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3) )
| ~ spl15_152 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f5936,plain,
( spl15_460
| ~ spl15_26
| ~ spl15_42
| ~ spl15_175 ),
inference(avatar_split_clause,[],[f1547,f1537,f390,f303,f5934]) ).
fof(f5934,plain,
( spl15_460
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13)) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_460])]) ).
fof(f1547,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13)) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_175 ),
inference(forward_demodulation,[],[f1545,f391]) ).
fof(f1545,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK8(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2))))) = k8_relset_2(X1,X2,X0,k8_relset_2(X3,k2_zfmisc_1(X1,X2),X4,sK8(k2_zfmisc_1(X3,k2_zfmisc_1(X1,X2)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_26
| ~ spl15_175 ),
inference(resolution,[],[f1538,f304]) ).
fof(f5932,plain,
( spl15_459
| ~ spl15_84
| ~ spl15_163 ),
inference(avatar_split_clause,[],[f5729,f1358,f690,f5929]) ).
fof(f5729,plain,
( sK3 = sK13
| ~ spl15_84
| ~ spl15_163 ),
inference(resolution,[],[f1360,f691]) ).
fof(f5927,plain,
( spl15_458
| ~ spl15_40
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1484,f1473,f370,f5925]) ).
fof(f5925,plain,
( spl15_458
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(X2)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_458])]) ).
fof(f1484,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(X2)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X2,X0) )
| ~ spl15_40
| ~ spl15_171 ),
inference(resolution,[],[f1474,f371]) ).
fof(f5923,plain,
( spl15_457
| ~ spl15_40
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1477,f1469,f370,f5921]) ).
fof(f5921,plain,
( spl15_457
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4)) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_457])]) ).
fof(f1477,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4)) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))) )
| ~ spl15_40
| ~ spl15_170 ),
inference(resolution,[],[f1470,f371]) ).
fof(f5919,plain,
( spl15_456
| ~ spl15_17
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1428,f1414,f264,f5917]) ).
fof(f5917,plain,
( spl15_456
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))),X2) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_456])]) ).
fof(f1428,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))),X2) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))))),X2)
| ~ spl15_17
| ~ spl15_166 ),
inference(resolution,[],[f1415,f265]) ).
fof(f5915,plain,
( spl15_455
| ~ spl15_51
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1373,f1350,f464,f5913]) ).
fof(f5913,plain,
( spl15_455
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))) = k8_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_455])]) ).
fof(f1373,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2)))) = k8_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK7(k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X0,X1),X2))))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_161 ),
inference(resolution,[],[f1351,f465]) ).
fof(f5881,plain,
( spl15_454
| ~ spl15_51
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1476,f1469,f464,f5879]) ).
fof(f5879,plain,
( spl15_454
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4)) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4))
| ~ m2_relset_1(X4,X1,k2_zfmisc_1(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_454])]) ).
fof(f1476,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4)) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,X4))
| ~ m2_relset_1(X4,X1,k2_zfmisc_1(X3,X2)) )
| ~ spl15_51
| ~ spl15_170 ),
inference(resolution,[],[f1470,f465]) ).
fof(f5877,plain,
( spl15_453
| ~ spl15_54
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1392,f1384,f490,f5875]) ).
fof(f5875,plain,
( spl15_453
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,k8_setfam_1(X0,X2),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_453])]) ).
fof(f1392,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,k8_setfam_1(X0,X2),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54
| ~ spl15_164 ),
inference(resolution,[],[f1385,f491]) ).
fof(f5825,plain,
( spl15_452
| ~ spl15_15
| ~ spl15_163 ),
inference(avatar_split_clause,[],[f5727,f1358,f256,f5822]) ).
fof(f5727,plain,
( v1_relat_1(sK3)
| ~ spl15_15
| ~ spl15_163 ),
inference(resolution,[],[f1360,f257]) ).
fof(f5779,plain,
( spl15_451
| ~ spl15_26
| ~ spl15_42
| ~ spl15_160
| ~ spl15_174 ),
inference(avatar_split_clause,[],[f1534,f1522,f1346,f390,f303,f5777]) ).
fof(f5777,plain,
( spl15_451
<=> ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_451])]) ).
fof(f1534,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_160
| ~ spl15_174 ),
inference(forward_demodulation,[],[f1533,f1370]) ).
fof(f1370,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK13)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK13))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_160 ),
inference(forward_demodulation,[],[f1368,f391]) ).
fof(f1368,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK8(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK8(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))
| ~ spl15_26
| ~ spl15_160 ),
inference(resolution,[],[f1347,f304]) ).
fof(f1533,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_174 ),
inference(forward_demodulation,[],[f1531,f391]) ).
fof(f1531,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK8(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k8_setfam_1(k2_zfmisc_1(X1,X2),sK8(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))),k3_pua2mss1(X0))) )
| ~ spl15_26
| ~ spl15_174 ),
inference(resolution,[],[f1523,f304]) ).
fof(f5775,plain,
( spl15_450
| ~ spl15_40
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1460,f1456,f370,f5773]) ).
fof(f5773,plain,
( spl15_450
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3))
| ~ r1_tarski(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_450])]) ).
fof(f1460,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3))
| ~ r1_tarski(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_40
| ~ spl15_169 ),
inference(resolution,[],[f1457,f371]) ).
fof(f5770,plain,
( spl15_449
| ~ spl15_17
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1453,f1440,f264,f5768]) ).
fof(f5768,plain,
( spl15_449
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK7(k1_zfmisc_1(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_449])]) ).
fof(f1453,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK7(k1_zfmisc_1(X0)))))
| ~ spl15_17
| ~ spl15_168 ),
inference(resolution,[],[f1441,f265]) ).
fof(f5765,plain,
( spl15_448
| ~ spl15_37
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1451,f1440,f358,f5763]) ).
fof(f5763,plain,
( spl15_448
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK5(X0))))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_448])]) ).
fof(f1451,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK5(X0))))
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_168 ),
inference(resolution,[],[f1441,f359]) ).
fof(f5761,plain,
( spl15_447
| ~ spl15_43
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1388,f1384,f406,f5759]) ).
fof(f5759,plain,
( spl15_447
<=> ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_relset_2(k1_zfmisc_1(X0),X1,X2,sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_eqrel_1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_447])]) ).
fof(f1388,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1))) = k8_relset_2(k1_zfmisc_1(X0),X1,X2,sK5(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))
| v1_xboole_0(k2_zfmisc_1(k1_zfmisc_1(X0),X1))
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_43
| ~ spl15_164 ),
inference(resolution,[],[f1385,f407]) ).
fof(f5726,plain,
( spl15_446
| ~ spl15_119
| ~ spl15_266 ),
inference(avatar_split_clause,[],[f2595,f2557,f968,f5724]) ).
fof(f5724,plain,
( spl15_446
<=> ! [X0] :
( m1_subset_1(sK7(sK3),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_446])]) ).
fof(f2595,plain,
( ! [X0] :
( m1_subset_1(sK7(sK3),k1_zfmisc_1(X0))
| ~ m1_eqrel_1(sK1,X0) )
| ~ spl15_119
| ~ spl15_266 ),
inference(resolution,[],[f2559,f969]) ).
fof(f5722,plain,
( spl15_445
| ~ spl15_37
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1367,f1346,f358,f5720]) ).
fof(f1367,plain,
( ! [X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK5(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_37
| ~ spl15_160 ),
inference(resolution,[],[f1347,f359]) ).
fof(f5718,plain,
( spl15_444
| ~ spl15_62
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1195,f1173,f553,f5716]) ).
fof(f5716,plain,
( spl15_444
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13) = k8_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_444])]) ).
fof(f1195,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13) = k8_relset_2(X0,X1,k8_relset_2(X2,X0,X3,X4),sK13)
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_143 ),
inference(resolution,[],[f1174,f554]) ).
fof(f5638,plain,
( spl15_443
| ~ spl15_26
| ~ spl15_42
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1495,f1473,f390,f303,f5636]) ).
fof(f5636,plain,
( spl15_443
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK13,sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(sK13)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_443])]) ).
fof(f1495,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK13,sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(sK13)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_171 ),
inference(forward_demodulation,[],[f1493,f391]) ).
fof(f1493,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK8(X0),sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(sK8(X0))))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_26
| ~ spl15_171 ),
inference(resolution,[],[f1474,f304]) ).
fof(f5634,plain,
( spl15_442
| ~ spl15_43
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1459,f1456,f406,f5632]) ).
fof(f5632,plain,
( spl15_442
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3))
| ~ m1_eqrel_1(X3,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_442])]) ).
fof(f1459,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3)) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),X3))
| ~ m1_eqrel_1(X3,k2_zfmisc_1(X1,X2)) )
| ~ spl15_43
| ~ spl15_169 ),
inference(resolution,[],[f1457,f407]) ).
fof(f5606,plain,
( spl15_441
| ~ spl15_17
| ~ spl15_146
| ~ spl15_382
| ~ spl15_440 ),
inference(avatar_split_clause,[],[f5602,f5599,f4237,f1214,f264,f5604]) ).
fof(f5604,plain,
( spl15_441
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_441])]) ).
fof(f5599,plain,
( spl15_440
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_440])]) ).
fof(f5602,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ r1_tarski(X2,X0) )
| ~ spl15_17
| ~ spl15_146
| ~ spl15_382
| ~ spl15_440 ),
inference(forward_demodulation,[],[f5600,f4307]) ).
fof(f5600,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ r1_tarski(X2,X0) )
| ~ spl15_440 ),
inference(avatar_component_clause,[],[f5599]) ).
fof(f5601,plain,
( spl15_440
| ~ spl15_40
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1443,f1440,f370,f5599]) ).
fof(f1443,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ r1_tarski(X2,X0) )
| ~ spl15_40
| ~ spl15_168 ),
inference(resolution,[],[f1441,f371]) ).
fof(f5597,plain,
( spl15_439
| ~ spl15_54
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1376,f1350,f490,f5595]) ).
fof(f5595,plain,
( spl15_439
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_439])]) ).
fof(f1376,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,k8_setfam_1(X0,X2),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54
| ~ spl15_161 ),
inference(resolution,[],[f1351,f491]) ).
fof(f5593,plain,
( spl15_438
| ~ spl15_150
| ~ spl15_153 ),
inference(avatar_split_clause,[],[f1290,f1268,f1246,f5591]) ).
fof(f5591,plain,
( spl15_438
<=> ! [X2,X0,X1] :
( r2_hidden(k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_438])]) ).
fof(f1246,plain,
( spl15_150
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2) = k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_150])]) ).
fof(f1268,plain,
( spl15_153
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X2)))
| r2_hidden(k4_relset_2(X1,X2,X0,X3),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_153])]) ).
fof(f1290,plain,
( ! [X2,X0,X1] :
( r2_hidden(k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_150
| ~ spl15_153 ),
inference(superposition,[],[f1269,f1247]) ).
fof(f1247,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2) = k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2)
| ~ spl15_150 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1269,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(k4_relset_2(X1,X2,X0,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2)))) )
| ~ spl15_153 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f5589,plain,
( spl15_437
| ~ spl15_61
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1196,f1173,f538,f5587]) ).
fof(f5587,plain,
( spl15_437
<=> ! [X4,X0,X3,X2,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13) = k8_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_437])]) ).
fof(f1196,plain,
( ! [X2,X3,X0,X1,X4] :
( k7_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13) = k8_relset_2(k1_zfmisc_1(X0),X1,k4_relset_2(X2,X0,X3,X4),sK13)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0)))) )
| ~ spl15_61
| ~ spl15_143 ),
inference(resolution,[],[f1174,f539]) ).
fof(f5528,plain,
( spl15_436
| ~ spl15_26
| ~ spl15_42
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1520,f1510,f390,f303,f5526]) ).
fof(f5526,plain,
( spl15_436
<=> ! [X4,X0,X3,X2,X1] :
( k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK13),X4) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK13),X4)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_436])]) ).
fof(f1520,plain,
( ! [X2,X3,X0,X1,X4] :
( k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK13),X4) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK13),X4)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_173 ),
inference(forward_demodulation,[],[f1518,f391]) ).
fof(f1518,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK8(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))),X4) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X0,sK8(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3))))),X4) )
| ~ spl15_26
| ~ spl15_173 ),
inference(resolution,[],[f1511,f304]) ).
fof(f5512,plain,
( spl15_435
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_434 ),
inference(avatar_split_clause,[],[f5507,f5504,f4237,f864,f390,f303,f5510]) ).
fof(f5504,plain,
( spl15_434
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,k5_relset_2(k2_zfmisc_1(X0,X1),sK13),k3_pua2mss1(X3)))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_434])]) ).
fof(f5507,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_setfam_1(X2,k9_relat_1(k5_relset_2(k2_zfmisc_1(X0,X1),sK13),k3_pua2mss1(X3)))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_434 ),
inference(forward_demodulation,[],[f5505,f4305]) ).
fof(f5505,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,k5_relset_2(k2_zfmisc_1(X0,X1),sK13),k3_pua2mss1(X3)))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_434 ),
inference(avatar_component_clause,[],[f5504]) ).
fof(f5506,plain,
( spl15_434
| ~ spl15_51
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1323,f1312,f464,f5504]) ).
fof(f1323,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,k5_relset_2(k2_zfmisc_1(X0,X1),sK13),k3_pua2mss1(X3)))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_158 ),
inference(resolution,[],[f1313,f465]) ).
fof(f5502,plain,
( spl15_433
| ~ spl15_54
| ~ spl15_155 ),
inference(avatar_split_clause,[],[f1296,f1276,f490,f5500]) ).
fof(f5500,plain,
( spl15_433
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)),X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_433])]) ).
fof(f1296,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,k8_setfam_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)),X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))) )
| ~ spl15_54
| ~ spl15_155 ),
inference(resolution,[],[f1277,f491]) ).
fof(f5429,plain,
( spl15_432
| ~ spl15_40
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1422,f1414,f370,f5427]) ).
fof(f5427,plain,
( spl15_432
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3)
| ~ r1_tarski(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_432])]) ).
fof(f1422,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3)
| ~ r1_tarski(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_40
| ~ spl15_166 ),
inference(resolution,[],[f1415,f371]) ).
fof(f5425,plain,
( spl15_431
| ~ spl15_43
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1372,f1350,f406,f5423]) ).
fof(f5423,plain,
( spl15_431
<=> ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_relset_2(k1_zfmisc_1(X0),X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1))))
| ~ m1_eqrel_1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_431])]) ).
fof(f1372,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1)))) = k8_relset_2(k1_zfmisc_1(X0),X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(X0),X1))))
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_43
| ~ spl15_161 ),
inference(resolution,[],[f1351,f407]) ).
fof(f5421,plain,
( ~ spl15_430
| ~ spl15_29
| ~ spl15_238 ),
inference(avatar_split_clause,[],[f2177,f2168,f322,f5418]) ).
fof(f5418,plain,
( spl15_430
<=> r2_hidden(k1_zfmisc_1(sK1),k7_relset_2(sK13,sK1,sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_430])]) ).
fof(f2177,plain,
( ~ r2_hidden(k1_zfmisc_1(sK1),k7_relset_2(sK13,sK1,sK13,sK4))
| ~ spl15_29
| ~ spl15_238 ),
inference(resolution,[],[f2170,f323]) ).
fof(f5416,plain,
( spl15_429
| ~ spl15_17
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1369,f1346,f264,f5414]) ).
fof(f5414,plain,
( spl15_429
<=> ! [X0,X1] : k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_429])]) ).
fof(f5412,plain,
( spl15_428
| ~ spl15_103
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1340,f1334,f852,f5410]) ).
fof(f5410,plain,
( spl15_428
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| ~ v1_xboole_0(X3)
| k4_relat_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_428])]) ).
fof(f852,plain,
( spl15_103
<=> ! [X0,X1] :
( k4_relat_1(X1) = X0
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).
fof(f1334,plain,
( spl15_159
<=> ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_159])]) ).
fof(f1340,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| ~ v1_xboole_0(X3)
| k4_relat_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))) = X3 )
| ~ spl15_103
| ~ spl15_159 ),
inference(resolution,[],[f1335,f853]) ).
fof(f853,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| k4_relat_1(X1) = X0 )
| ~ spl15_103 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f1335,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))
| k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) )
| ~ spl15_159 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f5385,plain,
( spl15_427
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_426 ),
inference(avatar_split_clause,[],[f5381,f5378,f4237,f864,f390,f303,f5383]) ).
fof(f5383,plain,
( spl15_427
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK13),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_427])]) ).
fof(f5378,plain,
( spl15_426
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_426])]) ).
fof(f5381,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK13),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_426 ),
inference(forward_demodulation,[],[f5379,f4305]) ).
fof(f5379,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_426 ),
inference(avatar_component_clause,[],[f5378]) ).
fof(f5380,plain,
( spl15_426
| ~ spl15_54
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1326,f1312,f490,f5378]) ).
fof(f1326,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(k8_setfam_1(X0,X2))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54
| ~ spl15_158 ),
inference(resolution,[],[f1313,f491]) ).
fof(f5376,plain,
( spl15_425
| ~ spl15_149
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1257,f1246,f1232,f5374]) ).
fof(f5374,plain,
( spl15_425
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2))
| m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_425])]) ).
fof(f1232,plain,
( spl15_149
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
| m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,k4_relset_2(X1,X2,X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_149])]) ).
fof(f1257,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2))
| m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_149
| ~ spl15_150 ),
inference(superposition,[],[f1233,f1247]) ).
fof(f1233,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X3,k4_relset_2(X1,X2,X0,X4))
| m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2)))) )
| ~ spl15_149 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f5372,plain,
( spl15_424
| ~ spl15_62
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1124,f1114,f553,f5370]) ).
fof(f5370,plain,
( spl15_424
<=> ! [X2,X4,X0,X3,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3,X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_424])]) ).
fof(f1114,plain,
( spl15_135
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| v1_relat_1(k8_setfam_1(k2_zfmisc_1(X1,X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_135])]) ).
fof(f1124,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),k8_relset_2(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3,X4)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) )
| ~ spl15_62
| ~ spl15_135 ),
inference(resolution,[],[f1115,f554]) ).
fof(f1115,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| v1_relat_1(k8_setfam_1(k2_zfmisc_1(X1,X2),X0)) )
| ~ spl15_135 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f5306,plain,
( ~ spl15_423
| ~ spl15_40
| spl15_211 ),
inference(avatar_split_clause,[],[f1922,f1917,f370,f5303]) ).
fof(f5303,plain,
( spl15_423
<=> r1_tarski(k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_423])]) ).
fof(f1922,plain,
( ~ r1_tarski(k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),sK13)
| ~ spl15_40
| spl15_211 ),
inference(resolution,[],[f1919,f371]) ).
fof(f5001,plain,
( spl15_422
| ~ spl15_17
| ~ spl15_146
| ~ spl15_382
| ~ spl15_421 ),
inference(avatar_split_clause,[],[f4997,f4994,f4237,f1214,f264,f4999]) ).
fof(f4999,plain,
( spl15_422
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_422])]) ).
fof(f4994,plain,
( spl15_421
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_421])]) ).
fof(f4997,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK13)))
| ~ spl15_17
| ~ spl15_146
| ~ spl15_382
| ~ spl15_421 ),
inference(forward_demodulation,[],[f4995,f4307]) ).
fof(f4995,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK13)))
| ~ spl15_421 ),
inference(avatar_component_clause,[],[f4994]) ).
fof(f4996,plain,
( spl15_421
| ~ spl15_26
| ~ spl15_42
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1454,f1440,f390,f303,f4994]) ).
fof(f1454,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK13)))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_168 ),
inference(forward_demodulation,[],[f1452,f391]) ).
fof(f1452,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK8(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(sK8(X0))))
| ~ spl15_26
| ~ spl15_168 ),
inference(resolution,[],[f1441,f304]) ).
fof(f4992,plain,
( spl15_420
| ~ spl15_13
| ~ spl15_136
| ~ spl15_167 ),
inference(avatar_split_clause,[],[f1436,f1418,f1118,f248,f4990]) ).
fof(f1118,plain,
( spl15_136
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ r1_tarski(X2,k2_zfmisc_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_136])]) ).
fof(f1418,plain,
( spl15_167
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_167])]) ).
fof(f1436,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,k2_zfmisc_1(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_13
| ~ spl15_136
| ~ spl15_167 ),
inference(forward_demodulation,[],[f1431,f1132]) ).
fof(f1132,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,k2_zfmisc_1(X1,X0)) = k5_relset_2(X1,k2_zfmisc_1(X1,X0))
| ~ spl15_13
| ~ spl15_136 ),
inference(resolution,[],[f1119,f249]) ).
fof(f1119,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X2,k2_zfmisc_1(X1,X0))
| k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) )
| ~ spl15_136 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1431,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,k2_zfmisc_1(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_13
| ~ spl15_167 ),
inference(resolution,[],[f1419,f249]) ).
fof(f1419,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))) )
| ~ spl15_167 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f4988,plain,
( spl15_419
| ~ spl15_43
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1421,f1414,f406,f4986]) ).
fof(f4986,plain,
( spl15_419
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3)
| ~ m1_eqrel_1(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_419])]) ).
fof(f1421,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3)
| ~ m1_eqrel_1(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1))) )
| ~ spl15_43
| ~ spl15_166 ),
inference(resolution,[],[f1415,f407]) ).
fof(f4984,plain,
( spl15_418
| ~ spl15_94
| ~ spl15_133
| ~ spl15_165 ),
inference(avatar_split_clause,[],[f1412,f1400,f1087,f777,f4982]) ).
fof(f777,plain,
( spl15_94
<=> ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).
fof(f1087,plain,
( spl15_133
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m2_relset_1(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_133])]) ).
fof(f1412,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,sK11(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK11(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_94
| ~ spl15_133
| ~ spl15_165 ),
inference(forward_demodulation,[],[f1408,f1108]) ).
fof(f1108,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK11(X1,X0)) = k5_relset_2(X1,sK11(X1,X0))
| ~ spl15_94
| ~ spl15_133 ),
inference(resolution,[],[f1088,f778]) ).
fof(f778,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl15_94 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f1088,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) )
| ~ spl15_133 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1408,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK11(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,sK11(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_94
| ~ spl15_165 ),
inference(resolution,[],[f1401,f778]) ).
fof(f4980,plain,
( spl15_417
| ~ spl15_33
| ~ spl15_133
| ~ spl15_165 ),
inference(avatar_split_clause,[],[f1411,f1400,f1087,f339,f4978]) ).
fof(f339,plain,
( spl15_33
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f1411,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,sK10(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK10(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_33
| ~ spl15_133
| ~ spl15_165 ),
inference(forward_demodulation,[],[f1407,f1107]) ).
fof(f1107,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK10(X1,X0)) = k5_relset_2(X1,sK10(X1,X0))
| ~ spl15_33
| ~ spl15_133 ),
inference(resolution,[],[f1088,f340]) ).
fof(f340,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f1407,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK10(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,sK10(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_33
| ~ spl15_165 ),
inference(resolution,[],[f1401,f340]) ).
fof(f4976,plain,
( spl15_416
| ~ spl15_93
| ~ spl15_133
| ~ spl15_165 ),
inference(avatar_split_clause,[],[f1410,f1400,f1087,f773,f4974]) ).
fof(f773,plain,
( spl15_93
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).
fof(f1410,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,sK9(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k5_relset_2(X1,sK9(X1,X2)),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_93
| ~ spl15_133
| ~ spl15_165 ),
inference(forward_demodulation,[],[f1406,f1106]) ).
fof(f1106,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK9(X1,X0)) = k5_relset_2(X1,sK9(X1,X0))
| ~ spl15_93
| ~ spl15_133 ),
inference(resolution,[],[f1088,f774]) ).
fof(f774,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl15_93 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f1406,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK9(X1,X2)) = k8_setfam_1(X2,k4_relset_2(k1_zfmisc_1(X1),X2,k6_relset_2(X2,X1,sK9(X1,X2)),k3_pua2mss1(X0))) )
| ~ spl15_93
| ~ spl15_165 ),
inference(resolution,[],[f1401,f774]) ).
fof(f4972,plain,
( spl15_415
| ~ spl15_17
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1397,f1384,f264,f4970]) ).
fof(f4970,plain,
( spl15_415
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_415])]) ).
fof(f1397,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_17
| ~ spl15_164 ),
inference(resolution,[],[f1385,f265]) ).
fof(f4968,plain,
( spl15_414
| ~ spl15_37
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1395,f1384,f358,f4966]) ).
fof(f4966,plain,
( spl15_414
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,sK5(X0),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_414])]) ).
fof(f1395,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,sK5(X0),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_164 ),
inference(resolution,[],[f1385,f359]) ).
fof(f4964,plain,
( spl15_413
| ~ spl15_41
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1343,f1334,f374,f4962]) ).
fof(f4962,plain,
( spl15_413
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| k2_zfmisc_1(X0,k1_zfmisc_1(X1)) = X3
| ~ v1_xboole_0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_413])]) ).
fof(f1343,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| k2_zfmisc_1(X0,k1_zfmisc_1(X1)) = X3
| ~ v1_xboole_0(X3) )
| ~ spl15_41
| ~ spl15_159 ),
inference(resolution,[],[f1335,f375]) ).
fof(f4960,plain,
( spl15_412
| ~ spl15_113
| ~ spl15_266 ),
inference(avatar_split_clause,[],[f2596,f2557,f908,f4958]) ).
fof(f2596,plain,
( ! [X0] :
( m1_subset_1(sK7(sK3),X0)
| ~ r1_tarski(sK1,X0) )
| ~ spl15_113
| ~ spl15_266 ),
inference(resolution,[],[f2559,f909]) ).
fof(f4956,plain,
( spl15_411
| ~ spl15_122
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1337,f1334,f1005,f4954]) ).
fof(f4954,plain,
( spl15_411
<=> ! [X4,X0,X3,X2,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| ~ m2_relset_1(X3,X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_411])]) ).
fof(f1005,plain,
( spl15_122
<=> ! [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,[spl15_122])]) ).
fof(f1337,plain,
( ! [X2,X3,X0,X1,X4] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| ~ m2_relset_1(X3,X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X4,X3) )
| ~ spl15_122
| ~ spl15_159 ),
inference(resolution,[],[f1335,f1006]) ).
fof(f1006,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X0,X1,X2)
| ~ r2_hidden(X3,X0) )
| ~ spl15_122 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f4952,plain,
( spl15_410
| ~ spl15_119
| ~ spl15_157 ),
inference(avatar_split_clause,[],[f1315,f1308,f968,f4950]) ).
fof(f4950,plain,
( spl15_410
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m1_subset_1(k8_relset_2(X1,X2,X0,X3),k1_zfmisc_1(X4))
| ~ m1_eqrel_1(k1_zfmisc_1(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_410])]) ).
fof(f1308,plain,
( spl15_157
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(k8_relset_2(X1,X2,X3,X0),k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_157])]) ).
fof(f1315,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m1_subset_1(k8_relset_2(X1,X2,X0,X3),k1_zfmisc_1(X4))
| ~ m1_eqrel_1(k1_zfmisc_1(X2),X4) )
| ~ spl15_119
| ~ spl15_157 ),
inference(resolution,[],[f1309,f969]) ).
fof(f1309,plain,
( ! [X2,X3,X0,X1] :
( r2_hidden(k8_relset_2(X1,X2,X3,X0),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_157 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f4948,plain,
( spl15_409
| ~ spl15_56
| ~ spl15_152 ),
inference(avatar_split_clause,[],[f1261,f1254,f498,f4946]) ).
fof(f1261,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3)) = k8_relset_2(X1,X2,X0,k6_relset_1(X2,X1,X3))
| ~ m1_relset_1(X3,X2,X1) )
| ~ spl15_56
| ~ spl15_152 ),
inference(resolution,[],[f1255,f499]) ).
fof(f4944,plain,
( spl15_408
| ~ spl15_57
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1182,f1161,f510,f4942]) ).
fof(f510,plain,
( spl15_57
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f1182,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k6_relset_2(X2,X1,X0) = k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_2(X2,X1,X0))) )
| ~ spl15_57
| ~ spl15_140 ),
inference(resolution,[],[f1162,f511]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 )
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f4698,plain,
( spl15_407
| ~ spl15_26
| ~ spl15_42
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1483,f1469,f390,f303,f4696]) ).
fof(f1483,plain,
( ! [X2,X3,X0,X1] :
( k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK13)) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_170 ),
inference(forward_demodulation,[],[f1481,f391]) ).
fof(f1481,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k6_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK8(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))))) = k5_relset_2(X3,k8_relset_2(X1,k2_zfmisc_1(X3,X2),X0,sK8(k2_zfmisc_1(X1,k2_zfmisc_1(X3,X2))))) )
| ~ spl15_26
| ~ spl15_170 ),
inference(resolution,[],[f1470,f304]) ).
fof(f4694,plain,
( spl15_406
| ~ spl15_40
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1387,f1384,f370,f4692]) ).
fof(f4692,plain,
( spl15_406
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_406])]) ).
fof(f1387,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r1_tarski(X2,X0) )
| ~ spl15_40
| ~ spl15_164 ),
inference(resolution,[],[f1385,f371]) ).
fof(f4690,plain,
( spl15_405
| ~ spl15_87
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1341,f1334,f748,f4688]) ).
fof(f4688,plain,
( spl15_405
<=> ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| sK13 = k4_relat_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_405])]) ).
fof(f748,plain,
( spl15_87
<=> ! [X0] :
( k4_relat_1(X0) = sK13
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).
fof(f1341,plain,
( ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| sK13 = k4_relat_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))) )
| ~ spl15_87
| ~ spl15_159 ),
inference(resolution,[],[f1335,f749]) ).
fof(f749,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k4_relat_1(X0) = sK13 )
| ~ spl15_87 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f4686,plain,
( spl15_404
| ~ spl15_113
| ~ spl15_157 ),
inference(avatar_split_clause,[],[f1316,f1308,f908,f4684]) ).
fof(f4684,plain,
( spl15_404
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m1_subset_1(k8_relset_2(X1,X2,X0,X3),X4)
| ~ r1_tarski(k1_zfmisc_1(X2),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_404])]) ).
fof(f1316,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m1_subset_1(k8_relset_2(X1,X2,X0,X3),X4)
| ~ r1_tarski(k1_zfmisc_1(X2),X4) )
| ~ spl15_113
| ~ spl15_157 ),
inference(resolution,[],[f1309,f909]) ).
fof(f4682,plain,
( spl15_403
| ~ spl15_89
| ~ spl15_154 ),
inference(avatar_split_clause,[],[f1291,f1272,f756,f4680]) ).
fof(f4680,plain,
( spl15_403
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| m1_subset_1(sK7(k8_relset_2(X1,X2,X0,X3)),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k8_relset_2(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_403])]) ).
fof(f1272,plain,
( spl15_154
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| m1_subset_1(X4,X2)
| ~ r2_hidden(X4,k8_relset_2(X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_154])]) ).
fof(f1291,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| m1_subset_1(sK7(k8_relset_2(X1,X2,X0,X3)),X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k8_relset_2(X1,X2,X0,X3)) )
| ~ spl15_89
| ~ spl15_154 ),
inference(resolution,[],[f1273,f757]) ).
fof(f1273,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k8_relset_2(X1,X2,X3,X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| m1_subset_1(X4,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_154 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f4678,plain,
( spl15_402
| ~ spl15_119
| ~ spl15_153 ),
inference(avatar_split_clause,[],[f1283,f1268,f968,f4676]) ).
fof(f4676,plain,
( spl15_402
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0))))
| m1_subset_1(k4_relset_2(X2,X0,X1,X3),k1_zfmisc_1(X4))
| ~ m1_eqrel_1(k1_zfmisc_1(k1_zfmisc_1(X0)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_402])]) ).
fof(f1283,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0))))
| m1_subset_1(k4_relset_2(X2,X0,X1,X3),k1_zfmisc_1(X4))
| ~ m1_eqrel_1(k1_zfmisc_1(k1_zfmisc_1(X0)),X4) )
| ~ spl15_119
| ~ spl15_153 ),
inference(resolution,[],[f1269,f969]) ).
fof(f4674,plain,
( spl15_401
| ~ spl15_61
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1259,f1246,f538,f4672]) ).
fof(f4672,plain,
( spl15_401
<=> ! [X2,X0,X1] :
( m1_subset_1(k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_401])]) ).
fof(f1259,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_61
| ~ spl15_150 ),
inference(superposition,[],[f539,f1247]) ).
fof(f4539,plain,
( spl15_400
| ~ spl15_26
| ~ spl15_42
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1467,f1456,f390,f303,f4537]) ).
fof(f1467,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13)) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_169 ),
inference(forward_demodulation,[],[f1465,f391]) ).
fof(f1465,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK8(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) = k8_relset_2(X1,X2,X0,k8_setfam_1(k2_zfmisc_1(X1,X2),sK8(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))) )
| ~ spl15_26
| ~ spl15_169 ),
inference(resolution,[],[f1457,f304]) ).
fof(f4535,plain,
( spl15_399
| ~ spl15_17
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1381,f1350,f264,f4533]) ).
fof(f4533,plain,
( spl15_399
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_399])]) ).
fof(f1381,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl15_17
| ~ spl15_161 ),
inference(resolution,[],[f1351,f265]) ).
fof(f4531,plain,
( spl15_398
| ~ spl15_37
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1379,f1350,f358,f4529]) ).
fof(f1379,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK5(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_161 ),
inference(resolution,[],[f1351,f359]) ).
fof(f4527,plain,
( spl15_397
| ~ spl15_84
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1342,f1334,f690,f4525]) ).
fof(f4525,plain,
( spl15_397
<=> ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| k2_zfmisc_1(X0,k1_zfmisc_1(X1)) = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_397])]) ).
fof(f1342,plain,
( ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| k2_zfmisc_1(X0,k1_zfmisc_1(X1)) = sK13 )
| ~ spl15_84
| ~ spl15_159 ),
inference(resolution,[],[f1335,f691]) ).
fof(f4523,plain,
( spl15_396
| ~ spl15_67
| ~ spl15_116
| ~ spl15_179
| ~ spl15_184
| ~ spl15_335
| ~ spl15_350 ),
inference(avatar_split_clause,[],[f3781,f3665,f3380,f1659,f1611,f955,f602,f4520]) ).
fof(f4520,plain,
( spl15_396
<=> k4_relat_1(sK4) = k6_relset_1(sK1,sK13,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_396])]) ).
fof(f3781,plain,
( k4_relat_1(sK4) = k6_relset_1(sK1,sK13,sK4)
| ~ spl15_67
| ~ spl15_116
| ~ spl15_179
| ~ spl15_184
| ~ spl15_335
| ~ spl15_350 ),
inference(forward_demodulation,[],[f3780,f3430]) ).
fof(f3430,plain,
( sK4 = k6_relset_1(sK1,sK13,k4_relat_1(sK4))
| ~ spl15_67
| ~ spl15_116
| ~ spl15_179
| ~ spl15_184
| ~ spl15_335 ),
inference(forward_demodulation,[],[f3429,f957]) ).
fof(f3429,plain,
( k4_relat_1(k4_relat_1(sK4)) = k6_relset_1(sK1,sK13,k4_relat_1(sK4))
| ~ spl15_67
| ~ spl15_179
| ~ spl15_184
| ~ spl15_335 ),
inference(forward_demodulation,[],[f3428,f1661]) ).
fof(f3780,plain,
( k4_relat_1(sK4) = k6_relset_1(sK1,sK13,k6_relset_1(sK1,sK13,k4_relat_1(sK4)))
| ~ spl15_67
| ~ spl15_179
| ~ spl15_184
| ~ spl15_350 ),
inference(forward_demodulation,[],[f3779,f1661]) ).
fof(f4516,plain,
( spl15_395
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_394 ),
inference(avatar_split_clause,[],[f4512,f4509,f4237,f864,f390,f303,f4514]) ).
fof(f4514,plain,
( spl15_395
<=> ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(X2)))
| ~ m1_eqrel_1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_395])]) ).
fof(f4509,plain,
( spl15_394
<=> ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(X2)))
| ~ m1_eqrel_1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_394])]) ).
fof(f4512,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK13) = k8_setfam_1(X1,k9_relat_1(k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(X2)))
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_106
| ~ spl15_382
| ~ spl15_394 ),
inference(forward_demodulation,[],[f4510,f4305]) ).
fof(f4510,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(X2)))
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_394 ),
inference(avatar_component_clause,[],[f4509]) ).
fof(f4511,plain,
( spl15_394
| ~ spl15_43
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1322,f1312,f406,f4509]) ).
fof(f1322,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(k1_zfmisc_1(X0)),X1,k5_relset_2(k1_zfmisc_1(X0),sK13),k3_pua2mss1(X2)))
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_43
| ~ spl15_158 ),
inference(resolution,[],[f1313,f407]) ).
fof(f4507,plain,
( spl15_393
| ~ spl15_37
| ~ spl15_155 ),
inference(avatar_split_clause,[],[f1297,f1276,f358,f4505]) ).
fof(f4505,plain,
( spl15_393
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)))))
| v1_xboole_0(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_393])]) ).
fof(f1297,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK5(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)))))
| v1_xboole_0(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))) )
| ~ spl15_37
| ~ spl15_155 ),
inference(resolution,[],[f1277,f359]) ).
fof(f4503,plain,
( spl15_392
| ~ spl15_113
| ~ spl15_153 ),
inference(avatar_split_clause,[],[f1284,f1268,f908,f4501]) ).
fof(f4501,plain,
( spl15_392
<=> ! [X4,X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0))))
| m1_subset_1(k4_relset_2(X2,X0,X1,X3),X4)
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_392])]) ).
fof(f1284,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0))))
| m1_subset_1(k4_relset_2(X2,X0,X1,X3),X4)
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X4) )
| ~ spl15_113
| ~ spl15_153 ),
inference(resolution,[],[f1269,f909]) ).
fof(f4499,plain,
( spl15_391
| ~ spl15_142
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1258,f1246,f1169,f4497]) ).
fof(f4497,plain,
( spl15_391
<=> ! [X2,X0,X1] :
( r1_tarski(k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_391])]) ).
fof(f1169,plain,
( spl15_142
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
| r1_tarski(k4_relset_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_142])]) ).
fof(f1258,plain,
( ! [X2,X0,X1] :
( r1_tarski(k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_142
| ~ spl15_150 ),
inference(superposition,[],[f1170,f1247]) ).
fof(f1170,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(k4_relset_2(X1,X2,X0,X3),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2)))) )
| ~ spl15_142 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f4495,plain,
( spl15_390
| ~ spl15_59
| ~ spl15_133 ),
inference(avatar_split_clause,[],[f1104,f1087,f529,f4493]) ).
fof(f1104,plain,
( ! [X2,X0,X1] :
( k6_relset_2(k1_zfmisc_1(X0),k1_zfmisc_1(X1),k6_relset_2(X0,X1,X2)) = k5_relset_2(k1_zfmisc_1(X1),k6_relset_2(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_59
| ~ spl15_133 ),
inference(resolution,[],[f1088,f530]) ).
fof(f4272,plain,
( spl15_389
| ~ spl15_40
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1371,f1350,f370,f4270]) ).
fof(f4270,plain,
( spl15_389
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_389])]) ).
fof(f1371,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ r1_tarski(X2,X0) )
| ~ spl15_40
| ~ spl15_161 ),
inference(resolution,[],[f1351,f371]) ).
fof(f4268,plain,
( spl15_388
| ~ spl15_40
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1363,f1346,f370,f4266]) ).
fof(f4266,plain,
( spl15_388
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2))
| ~ r1_tarski(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_388])]) ).
fof(f1363,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2))
| ~ r1_tarski(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_40
| ~ spl15_160 ),
inference(resolution,[],[f1347,f371]) ).
fof(f4264,plain,
( spl15_387
| ~ spl15_45
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1338,f1334,f414,f4262]) ).
fof(f4262,plain,
( spl15_387
<=> ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_387])]) ).
fof(f1338,plain,
( ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(X0) )
| ~ spl15_45
| ~ spl15_159 ),
inference(resolution,[],[f1335,f415]) ).
fof(f4260,plain,
( spl15_386
| ~ spl15_89
| ~ spl15_149 ),
inference(avatar_split_clause,[],[f1243,f1232,f756,f4258]) ).
fof(f4258,plain,
( spl15_386
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(sK7(k4_relset_2(X0,X1,X2,X3)),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
| v1_xboole_0(k4_relset_2(X0,X1,X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_386])]) ).
fof(f1243,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(sK7(k4_relset_2(X0,X1,X2,X3)),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
| v1_xboole_0(k4_relset_2(X0,X1,X2,X3)) )
| ~ spl15_89
| ~ spl15_149 ),
inference(resolution,[],[f1233,f757]) ).
fof(f4252,plain,
( ~ spl15_236
| ~ spl15_26
| ~ spl15_42
| ~ spl15_202
| spl15_351 ),
inference(avatar_split_clause,[],[f3673,f3669,f1829,f390,f303,f2157]) ).
fof(f2157,plain,
( spl15_236
<=> r1_tarski(k7_relset_2(sK13,sK1,sK13,sK4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_236])]) ).
fof(f3669,plain,
( spl15_351
<=> r1_tarski(k8_relset_2(sK13,sK1,sK13,sK4),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_351])]) ).
fof(f3673,plain,
( ~ r1_tarski(k7_relset_2(sK13,sK1,sK13,sK4),sK1)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_202
| spl15_351 ),
inference(forward_demodulation,[],[f3671,f1838]) ).
fof(f3671,plain,
( ~ r1_tarski(k8_relset_2(sK13,sK1,sK13,sK4),sK1)
| spl15_351 ),
inference(avatar_component_clause,[],[f3669]) ).
fof(f4251,plain,
( spl15_385
| ~ spl15_103
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1238,f1228,f852,f4249]) ).
fof(f4249,plain,
( spl15_385
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| ~ v1_xboole_0(X2)
| k4_relat_1(k2_zfmisc_1(X1,X0)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_385])]) ).
fof(f1228,plain,
( spl15_148
<=> ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| v1_xboole_0(k2_zfmisc_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_148])]) ).
fof(f1238,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| ~ v1_xboole_0(X2)
| k4_relat_1(k2_zfmisc_1(X1,X0)) = X2 )
| ~ spl15_103
| ~ spl15_148 ),
inference(resolution,[],[f1229,f853]) ).
fof(f1229,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X1,X0))
| k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0))) )
| ~ spl15_148 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f4247,plain,
( spl15_384
| ~ spl15_59
| ~ spl15_146 ),
inference(avatar_split_clause,[],[f1218,f1214,f529,f4245]) ).
fof(f4245,plain,
( spl15_384
<=> ! [X0,X1] :
( m2_relset_1(k5_relset_2(X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0))),k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_384])]) ).
fof(f1218,plain,
( ! [X0,X1] :
( m2_relset_1(k5_relset_2(X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0))),k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_59
| ~ spl15_146 ),
inference(superposition,[],[f530,f1215]) ).
fof(f4243,plain,
( spl15_383
| ~ spl15_140
| ~ spl15_146 ),
inference(avatar_split_clause,[],[f1217,f1214,f1161,f4241]) ).
fof(f4241,plain,
( spl15_383
<=> ! [X0,X1] :
( m1_relset_1(k5_relset_2(X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0))),k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_383])]) ).
fof(f1217,plain,
( ! [X0,X1] :
( m1_relset_1(k5_relset_2(X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0))),k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_140
| ~ spl15_146 ),
inference(superposition,[],[f1162,f1215]) ).
fof(f4239,plain,
( spl15_382
| ~ spl15_59
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1151,f1141,f529,f4237]) ).
fof(f1141,plain,
( spl15_138
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m2_relset_1(X2,X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_138])]) ).
fof(f1151,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X2),X3) = k9_relat_1(k6_relset_2(X1,X0,X2),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl15_59
| ~ spl15_138 ),
inference(resolution,[],[f1142,f530]) ).
fof(f1142,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X2,X0,k1_zfmisc_1(X1))
| k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) )
| ~ spl15_138 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f4235,plain,
( spl15_381
| ~ spl15_56
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1150,f1141,f498,f4233]) ).
fof(f4233,plain,
( spl15_381
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,k6_relset_1(k1_zfmisc_1(X1),X0,X2),X3) = k9_relat_1(k6_relset_1(k1_zfmisc_1(X1),X0,X2),X3)
| ~ m1_relset_1(X2,k1_zfmisc_1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_381])]) ).
fof(f1150,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,k6_relset_1(k1_zfmisc_1(X1),X0,X2),X3) = k9_relat_1(k6_relset_1(k1_zfmisc_1(X1),X0,X2),X3)
| ~ m1_relset_1(X2,k1_zfmisc_1(X1),X0) )
| ~ spl15_56
| ~ spl15_138 ),
inference(resolution,[],[f1142,f499]) ).
fof(f4067,plain,
( spl15_380
| ~ spl15_26
| ~ spl15_42
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1398,f1384,f390,f303,f4065]) ).
fof(f4065,plain,
( spl15_380
<=> ! [X0,X1] :
( k7_relset_2(X0,X1,sK13,sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,sK13,sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_380])]) ).
fof(f1398,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK13,sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,sK13,sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_164 ),
inference(forward_demodulation,[],[f1396,f391]) ).
fof(f1396,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK8(X0),sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,sK8(X0),sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_26
| ~ spl15_164 ),
inference(resolution,[],[f1385,f304]) ).
fof(f4063,plain,
( spl15_379
| ~ spl15_43
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1362,f1346,f406,f4061]) ).
fof(f4061,plain,
( spl15_379
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2))
| ~ m1_eqrel_1(X2,k2_zfmisc_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_379])]) ).
fof(f1362,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2))
| ~ m1_eqrel_1(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl15_43
| ~ spl15_160 ),
inference(resolution,[],[f1347,f407]) ).
fof(f4059,plain,
( spl15_378
| ~ spl15_17
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1331,f1312,f264,f4057]) ).
fof(f4057,plain,
( spl15_378
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK7(k1_zfmisc_1(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_378])]) ).
fof(f1331,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK7(k1_zfmisc_1(X0)))))
| ~ spl15_17
| ~ spl15_158 ),
inference(resolution,[],[f1313,f265]) ).
fof(f4055,plain,
( spl15_377
| ~ spl15_37
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1329,f1312,f358,f4053]) ).
fof(f1329,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK5(X0))))
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_158 ),
inference(resolution,[],[f1313,f359]) ).
fof(f4051,plain,
( spl15_376
| ~ spl15_29
| ~ spl15_157 ),
inference(avatar_split_clause,[],[f1320,f1308,f322,f4049]) ).
fof(f1320,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ r2_hidden(k1_zfmisc_1(X2),k8_relset_2(X1,X2,X0,X3)) )
| ~ spl15_29
| ~ spl15_157 ),
inference(resolution,[],[f1309,f323]) ).
fof(f4047,plain,
( spl15_375
| ~ spl15_67
| ~ spl15_116
| ~ spl15_179
| ~ spl15_184
| ~ spl15_335 ),
inference(avatar_split_clause,[],[f3430,f3380,f1659,f1611,f955,f602,f4044]) ).
fof(f4044,plain,
( spl15_375
<=> sK4 = k6_relset_1(sK1,sK13,k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_375])]) ).
fof(f4042,plain,
( spl15_374
| ~ spl15_41
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1241,f1228,f374,f4040]) ).
fof(f4040,plain,
( spl15_374
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| k2_zfmisc_1(X1,X0) = X2
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_374])]) ).
fof(f1241,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| k2_zfmisc_1(X1,X0) = X2
| ~ v1_xboole_0(X2) )
| ~ spl15_41
| ~ spl15_148 ),
inference(resolution,[],[f1229,f375]) ).
fof(f4038,plain,
( spl15_373
| ~ spl15_122
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1235,f1228,f1005,f4036]) ).
fof(f4036,plain,
( spl15_373
<=> ! [X2,X0,X1,X3] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| ~ m2_relset_1(X2,X1,X0)
| ~ r2_hidden(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_373])]) ).
fof(f1235,plain,
( ! [X2,X3,X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| ~ m2_relset_1(X2,X1,X0)
| ~ r2_hidden(X3,X2) )
| ~ spl15_122
| ~ spl15_148 ),
inference(resolution,[],[f1229,f1006]) ).
fof(f4034,plain,
( spl15_372
| ~ spl15_55
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1183,f1161,f494,f4032]) ).
fof(f494,plain,
( spl15_55
<=> ! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
fof(f1183,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k6_relset_1(k1_zfmisc_1(X1),k1_zfmisc_1(X2),k6_relset_2(X2,X1,X0)) = k4_relat_1(k6_relset_2(X2,X1,X0)) )
| ~ spl15_55
| ~ spl15_140 ),
inference(resolution,[],[f1162,f495]) ).
fof(f495,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) )
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f4030,plain,
( spl15_371
| ~ spl15_61
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1125,f1114,f538,f4028]) ).
fof(f4028,plain,
( spl15_371
<=> ! [X2,X4,X0,X3,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),k4_relset_2(X2,k2_zfmisc_1(X0,X1),X3,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_371])]) ).
fof(f1125,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),k4_relset_2(X2,k2_zfmisc_1(X0,X1),X3,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) )
| ~ spl15_61
| ~ spl15_135 ),
inference(resolution,[],[f1115,f539]) ).
fof(f4026,plain,
( spl15_370
| ~ spl15_62
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f993,f972,f553,f4024]) ).
fof(f4024,plain,
( spl15_370
<=> ! [X0,X3,X2,X1] :
( r1_tarski(k8_setfam_1(X0,k8_relset_2(X1,k1_zfmisc_1(X0),X2,X3)),X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X0))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_370])]) ).
fof(f972,plain,
( spl15_120
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r1_tarski(k8_setfam_1(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_120])]) ).
fof(f993,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(k8_setfam_1(X0,k8_relset_2(X1,k1_zfmisc_1(X0),X2,X3)),X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X0))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| ~ spl15_62
| ~ spl15_120 ),
inference(resolution,[],[f973,f554]) ).
fof(f973,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r1_tarski(k8_setfam_1(X1,X0),X1) )
| ~ spl15_120 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f3972,plain,
( spl15_369
| ~ spl15_40
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1321,f1312,f370,f3970]) ).
fof(f3970,plain,
( spl15_369
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(X2)))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_369])]) ).
fof(f1321,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(X2)))
| ~ r1_tarski(X2,X0) )
| ~ spl15_40
| ~ spl15_158 ),
inference(resolution,[],[f1313,f371]) ).
fof(f3958,plain,
( spl15_368
| ~ spl15_29
| ~ spl15_153 ),
inference(avatar_split_clause,[],[f1288,f1268,f322,f3956]) ).
fof(f3956,plain,
( spl15_368
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0))))
| ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(X0)),k4_relset_2(X2,X0,X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_368])]) ).
fof(f1288,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,k1_zfmisc_1(X0))))
| ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(X0)),k4_relset_2(X2,X0,X1,X3)) )
| ~ spl15_29
| ~ spl15_153 ),
inference(resolution,[],[f1269,f323]) ).
fof(f3954,plain,
( spl15_367
| ~ spl15_87
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1239,f1228,f748,f3952]) ).
fof(f3952,plain,
( spl15_367
<=> ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| sK13 = k4_relat_1(k2_zfmisc_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_367])]) ).
fof(f1239,plain,
( ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| sK13 = k4_relat_1(k2_zfmisc_1(X1,X0)) )
| ~ spl15_87
| ~ spl15_148 ),
inference(resolution,[],[f1229,f749]) ).
fof(f3950,plain,
( spl15_366
| ~ spl15_54
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1197,f1173,f490,f3948]) ).
fof(f3948,plain,
( spl15_366
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13) = k8_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_366])]) ).
fof(f1197,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13) = k8_relset_2(X0,X1,k8_setfam_1(X0,X2),sK13)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
| ~ spl15_54
| ~ spl15_143 ),
inference(resolution,[],[f1174,f491]) ).
fof(f3823,plain,
( spl15_365
| ~ spl15_222
| ~ spl15_179
| ~ spl15_184
| ~ spl15_246 ),
inference(avatar_split_clause,[],[f2325,f2275,f1659,f1611,f1992,f3820]) ).
fof(f3820,plain,
( spl15_365
<=> v1_relat_1(k4_relat_1(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_365])]) ).
fof(f2275,plain,
( spl15_246
<=> ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_246])]) ).
fof(f2325,plain,
( ~ m1_relset_1(sK4,sK13,sK1)
| v1_relat_1(k4_relat_1(sK4))
| ~ spl15_179
| ~ spl15_184
| ~ spl15_246 ),
inference(forward_demodulation,[],[f2323,f1661]) ).
fof(f2323,plain,
( v1_relat_1(k4_relat_1(sK4))
| ~ m1_relset_1(sK4,sK0,sK1)
| ~ spl15_179
| ~ spl15_246 ),
inference(superposition,[],[f2276,f1613]) ).
fof(f2276,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl15_246 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f3725,plain,
( spl15_364
| ~ spl15_26
| ~ spl15_42
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1429,f1414,f390,f303,f3723]) ).
fof(f3723,plain,
( spl15_364
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK13),X2) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK13),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_364])]) ).
fof(f1429,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK13),X2) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK13),X2)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_166 ),
inference(forward_demodulation,[],[f1427,f391]) ).
fof(f1427,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK8(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))),X2) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),sK8(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))),X2)
| ~ spl15_26
| ~ spl15_166 ),
inference(resolution,[],[f1415,f304]) ).
fof(f3721,plain,
( spl15_363
| ~ spl15_26
| ~ spl15_42
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1382,f1350,f390,f303,f3719]) ).
fof(f3719,plain,
( spl15_363
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_363])]) ).
fof(f1382,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK13,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_161 ),
inference(forward_demodulation,[],[f1380,f391]) ).
fof(f1380,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK8(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,sK8(X0),sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl15_26
| ~ spl15_161 ),
inference(resolution,[],[f1351,f304]) ).
fof(f3717,plain,
( spl15_362
| ~ spl15_84
| ~ spl15_145
| ~ spl15_181
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1711,f1659,f1621,f1209,f690,f3715]) ).
fof(f3715,plain,
( spl15_362
<=> ! [X0] :
( m1_subset_1(sK13,X0)
| ~ r1_tarski(k1_zfmisc_1(sK13),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_362])]) ).
fof(f1711,plain,
( ! [X0] :
( m1_subset_1(sK13,X0)
| ~ r1_tarski(k1_zfmisc_1(sK13),X0) )
| ~ spl15_84
| ~ spl15_145
| ~ spl15_181
| ~ spl15_184 ),
inference(forward_demodulation,[],[f1701,f1653]) ).
fof(f1701,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(sK13),X0)
| m1_subset_1(sK2,X0) )
| ~ spl15_181
| ~ spl15_184 ),
inference(superposition,[],[f1622,f1661]) ).
fof(f3713,plain,
( spl15_361
| ~ spl15_13
| ~ spl15_156 ),
inference(avatar_split_clause,[],[f1302,f1280,f248,f3711]) ).
fof(f1280,plain,
( spl15_156
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_156])]) ).
fof(f1302,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) = k8_relset_2(X1,X2,X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_13
| ~ spl15_156 ),
inference(resolution,[],[f1281,f249]) ).
fof(f1281,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3) )
| ~ spl15_156 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f3709,plain,
( spl15_360
| ~ spl15_40
| ~ spl15_155 ),
inference(avatar_split_clause,[],[f1294,f1276,f370,f3707]) ).
fof(f3707,plain,
( spl15_360
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,X4))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_360])]) ).
fof(f1294,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,X4))
| ~ r1_tarski(X4,k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))) )
| ~ spl15_40
| ~ spl15_155 ),
inference(resolution,[],[f1277,f371]) ).
fof(f3705,plain,
( spl15_359
| ~ spl15_94
| ~ spl15_152 ),
inference(avatar_split_clause,[],[f1266,f1254,f777,f3703]) ).
fof(f1266,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK11(X1,X2)) = k8_relset_2(X1,X2,X0,sK11(X1,X2)) )
| ~ spl15_94
| ~ spl15_152 ),
inference(resolution,[],[f1255,f778]) ).
fof(f3701,plain,
( spl15_358
| ~ spl15_33
| ~ spl15_152 ),
inference(avatar_split_clause,[],[f1265,f1254,f339,f3699]) ).
fof(f1265,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK10(X1,X2)) = k8_relset_2(X1,X2,X0,sK10(X1,X2)) )
| ~ spl15_33
| ~ spl15_152 ),
inference(resolution,[],[f1255,f340]) ).
fof(f3697,plain,
( spl15_357
| ~ spl15_93
| ~ spl15_152 ),
inference(avatar_split_clause,[],[f1264,f1254,f773,f3695]) ).
fof(f1264,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k7_relset_2(X1,X2,X0,sK9(X1,X2)) = k8_relset_2(X1,X2,X0,sK9(X1,X2)) )
| ~ spl15_93
| ~ spl15_152 ),
inference(resolution,[],[f1255,f774]) ).
fof(f3693,plain,
( spl15_356
| ~ spl15_84
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1240,f1228,f690,f3691]) ).
fof(f3691,plain,
( spl15_356
<=> ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| k2_zfmisc_1(X1,X0) = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_356])]) ).
fof(f1240,plain,
( ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| k2_zfmisc_1(X1,X0) = sK13 )
| ~ spl15_84
| ~ spl15_148 ),
inference(resolution,[],[f1229,f691]) ).
fof(f3689,plain,
( spl15_355
| ~ spl15_51
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1194,f1173,f464,f3687]) ).
fof(f1194,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13) = k8_relset_2(k2_zfmisc_1(X0,X1),X2,X3,sK13)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_143 ),
inference(resolution,[],[f1174,f465]) ).
fof(f3685,plain,
( spl15_354
| ~ spl15_119
| ~ spl15_139 ),
inference(avatar_split_clause,[],[f1176,f1157,f968,f3683]) ).
fof(f3683,plain,
( spl15_354
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_eqrel_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_354])]) ).
fof(f1157,plain,
( spl15_139
<=> ! [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,[spl15_139])]) ).
fof(f1176,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_eqrel_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) )
| ~ spl15_119
| ~ spl15_139 ),
inference(resolution,[],[f1158,f969]) ).
fof(f1158,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) )
| ~ spl15_139 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f3681,plain,
( spl15_353
| ~ spl15_54
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1126,f1114,f490,f3679]) ).
fof(f3679,plain,
( spl15_353
<=> ! [X2,X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_353])]) ).
fof(f1126,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),k8_setfam_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) )
| ~ spl15_54
| ~ spl15_135 ),
inference(resolution,[],[f1115,f491]) ).
fof(f3677,plain,
( spl15_352
| ~ spl15_59
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1097,f1079,f529,f3675]) ).
fof(f1079,plain,
( spl15_131
<=> ! [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,[spl15_131])]) ).
fof(f1097,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k6_relset_2(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(k1_zfmisc_1(X2),k1_zfmisc_1(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1))) )
| ~ spl15_59
| ~ spl15_131 ),
inference(resolution,[],[f1080,f530]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_131 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f3672,plain,
( ~ spl15_351
| ~ spl15_84
| ~ spl15_145
| spl15_180
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1695,f1659,f1616,f1209,f690,f3669]) ).
fof(f1695,plain,
( ~ r1_tarski(k8_relset_2(sK13,sK1,sK13,sK4),sK1)
| ~ spl15_84
| ~ spl15_145
| spl15_180
| ~ spl15_184 ),
inference(forward_demodulation,[],[f1694,f1653]) ).
fof(f1694,plain,
( ~ r1_tarski(k8_relset_2(sK13,sK1,sK2,sK4),sK1)
| spl15_180
| ~ spl15_184 ),
inference(superposition,[],[f1618,f1661]) ).
fof(f1618,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1)
| spl15_180 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f3667,plain,
( spl15_350
| ~ spl15_57
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1052,f1020,f510,f3665]) ).
fof(f1052,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X1,X2,X0) = k6_relset_1(X2,X1,k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0))) )
| ~ spl15_57
| ~ spl15_125 ),
inference(resolution,[],[f1021,f511]) ).
fof(f3663,plain,
( spl15_349
| ~ spl15_111
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1037,f1001,f900,f3661]) ).
fof(f3661,plain,
( spl15_349
<=> ! [X2,X0,X1] :
( k5_relset_2(X0,sK5(k2_zfmisc_1(X1,X2))) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK5(k2_zfmisc_1(X1,X2)))))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_349])]) ).
fof(f900,plain,
( spl15_111
<=> ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_111])]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( k5_relset_2(X0,sK5(k2_zfmisc_1(X1,X2))) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK5(k2_zfmisc_1(X1,X2)))))
| v1_xboole_0(k2_zfmisc_1(X1,X2)) )
| ~ spl15_111
| ~ spl15_121 ),
inference(resolution,[],[f1002,f901]) ).
fof(f901,plain,
( ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_111 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f3659,plain,
( spl15_348
| ~ spl15_65
| ~ spl15_79 ),
inference(avatar_split_clause,[],[f666,f663,f590,f3657]) ).
fof(f666,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,sK13,X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(sK13,k1_zfmisc_1(X1)) )
| ~ spl15_65
| ~ spl15_79 ),
inference(resolution,[],[f664,f591]) ).
fof(f3521,plain,
( spl15_347
| ~ spl15_179
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1674,f1659,f1611,f3518]) ).
fof(f3518,plain,
( spl15_347
<=> k4_relat_1(sK4) = k6_relset_1(sK13,sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_347])]) ).
fof(f1674,plain,
( k4_relat_1(sK4) = k6_relset_1(sK13,sK1,sK4)
| ~ spl15_179
| ~ spl15_184 ),
inference(superposition,[],[f1613,f1661]) ).
fof(f3498,plain,
( spl15_346
| ~ spl15_17
| ~ spl15_155 ),
inference(avatar_split_clause,[],[f1299,f1276,f264,f3496]) ).
fof(f1299,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3)))))) )
| ~ spl15_17
| ~ spl15_155 ),
inference(resolution,[],[f1277,f265]) ).
fof(f3494,plain,
( spl15_345
| ~ spl15_51
| ~ spl15_155 ),
inference(avatar_split_clause,[],[f1293,f1276,f464,f3492]) ).
fof(f3492,plain,
( spl15_345
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,X4))
| ~ m2_relset_1(X4,X1,k2_zfmisc_1(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_345])]) ).
fof(f1293,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,X4))
| ~ m2_relset_1(X4,X1,k2_zfmisc_1(X2,X3)) )
| ~ spl15_51
| ~ spl15_155 ),
inference(resolution,[],[f1277,f465]) ).
fof(f3490,plain,
( spl15_344
| ~ spl15_115
| ~ spl15_153 ),
inference(avatar_split_clause,[],[f1289,f1268,f916,f3488]) ).
fof(f3488,plain,
( spl15_344
<=> ! [X2,X0,X1] :
( r2_hidden(k9_relat_1(sK13,X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_344])]) ).
fof(f916,plain,
( spl15_115
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,sK13,X2) = k9_relat_1(sK13,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_115])]) ).
fof(f1289,plain,
( ! [X2,X0,X1] :
( r2_hidden(k9_relat_1(sK13,X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_115
| ~ spl15_153 ),
inference(superposition,[],[f1269,f917]) ).
fof(f917,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK13,X2) = k9_relat_1(sK13,X2)
| ~ spl15_115 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f3486,plain,
( spl15_343
| ~ spl15_89
| ~ spl15_151 ),
inference(avatar_split_clause,[],[f1260,f1250,f756,f3484]) ).
fof(f3484,plain,
( spl15_343
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k8_relset_2(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_343])]) ).
fof(f1250,plain,
( spl15_151
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X4,k8_relset_2(X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_151])]) ).
fof(f1260,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k8_relset_2(X1,X2,X0,X3)) )
| ~ spl15_89
| ~ spl15_151 ),
inference(resolution,[],[f1251,f757]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k8_relset_2(X1,X2,X3,X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl15_151 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f3482,plain,
( spl15_342
| ~ spl15_45
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1236,f1228,f414,f3480]) ).
fof(f1236,plain,
( ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl15_45
| ~ spl15_148 ),
inference(resolution,[],[f1229,f415]) ).
fof(f3478,plain,
( spl15_341
| ~ spl15_113
| ~ spl15_139 ),
inference(avatar_split_clause,[],[f1177,f1157,f908,f3476]) ).
fof(f3476,plain,
( spl15_341
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,X3)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_341])]) ).
fof(f1177,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,X3)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) )
| ~ spl15_113
| ~ spl15_139 ),
inference(resolution,[],[f1158,f909]) ).
fof(f3474,plain,
( spl15_340
| ~ spl15_119
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f1144,f1137,f968,f3472]) ).
fof(f3472,plain,
( spl15_340
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X2))
| ~ m1_eqrel_1(k1_zfmisc_1(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_340])]) ).
fof(f1137,plain,
( spl15_137
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(k8_setfam_1(X1,X0),k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_137])]) ).
fof(f1144,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X2))
| ~ m1_eqrel_1(k1_zfmisc_1(X0),X2) )
| ~ spl15_119
| ~ spl15_137 ),
inference(resolution,[],[f1138,f969]) ).
fof(f1138,plain,
( ! [X0,X1] :
( r2_hidden(k8_setfam_1(X1,X0),k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) )
| ~ spl15_137 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f3470,plain,
( spl15_339
| ~ spl15_56
| ~ spl15_133 ),
inference(avatar_split_clause,[],[f1103,f1087,f498,f3468]) ).
fof(f1103,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k6_relset_1(X0,X1,X2)) = k5_relset_2(X1,k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl15_56
| ~ spl15_133 ),
inference(resolution,[],[f1088,f499]) ).
fof(f3454,plain,
( spl15_338
| ~ spl15_109
| ~ spl15_145 ),
inference(avatar_split_clause,[],[f1650,f1209,f892,f3451]) ).
fof(f3451,plain,
( spl15_338
<=> k4_relat_1(sK2) = k4_relat_1(k4_relat_1(k4_relat_1(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_338])]) ).
fof(f892,plain,
( spl15_109
<=> ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).
fof(f1650,plain,
( k4_relat_1(sK2) = k4_relat_1(k4_relat_1(k4_relat_1(sK2)))
| ~ spl15_109
| ~ spl15_145 ),
inference(resolution,[],[f1211,f893]) ).
fof(f893,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0))) )
| ~ spl15_109 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f3390,plain,
( spl15_337
| ~ spl15_26
| ~ spl15_42
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1332,f1312,f390,f303,f3388]) ).
fof(f3388,plain,
( spl15_337
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_337])]) ).
fof(f1332,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK13)))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_158 ),
inference(forward_demodulation,[],[f1330,f391]) ).
fof(f1330,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK8(X0),sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(sK8(X0))))
| ~ spl15_26
| ~ spl15_158 ),
inference(resolution,[],[f1313,f304]) ).
fof(f3386,plain,
( spl15_336
| ~ spl15_113
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f1145,f1137,f908,f3384]) ).
fof(f3384,plain,
( spl15_336
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k8_setfam_1(X0,X1),X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_336])]) ).
fof(f1145,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k8_setfam_1(X0,X1),X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) )
| ~ spl15_113
| ~ spl15_137 ),
inference(resolution,[],[f1138,f909]) ).
fof(f3382,plain,
( spl15_335
| ~ spl15_55
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1053,f1020,f494,f3380]) ).
fof(f1053,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| k6_relset_1(X2,X1,k6_relset_1(X1,X2,X0)) = k4_relat_1(k6_relset_1(X1,X2,X0)) )
| ~ spl15_55
| ~ spl15_125 ),
inference(resolution,[],[f1021,f495]) ).
fof(f3378,plain,
( spl15_334
| ~ spl15_91
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1038,f1001,f765,f3376]) ).
fof(f3376,plain,
( spl15_334
<=> ! [X2,X0,X1] : k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_334])]) ).
fof(f765,plain,
( spl15_91
<=> ! [X0,X1] : v1_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).
fof(f1038,plain,
( ! [X2,X0,X1] : k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))))
| ~ spl15_91
| ~ spl15_121 ),
inference(resolution,[],[f1002,f766]) ).
fof(f766,plain,
( ! [X0,X1] : v1_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl15_91 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f3374,plain,
( spl15_333
| ~ spl15_108
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f945,f900,f888,f3372]) ).
fof(f3372,plain,
( spl15_333
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k4_relat_1(sK5(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK5(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_333])]) ).
fof(f888,plain,
( spl15_108
<=> ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).
fof(f945,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| k4_relat_1(sK5(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(k4_relat_1(sK5(k2_zfmisc_1(X0,X1))))) )
| ~ spl15_108
| ~ spl15_111 ),
inference(resolution,[],[f901,f889]) ).
fof(f889,plain,
( ! [X0] :
( ~ v1_relat_1(X0)
| k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0))) )
| ~ spl15_108 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f3341,plain,
( spl15_332
| ~ spl15_26
| ~ spl15_42
| ~ spl15_160 ),
inference(avatar_split_clause,[],[f1370,f1346,f390,f303,f3339]) ).
fof(f3339,plain,
( spl15_332
<=> ! [X0,X1] : k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK13)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_332])]) ).
fof(f3337,plain,
( spl15_331
| ~ spl15_115
| ~ spl15_149 ),
inference(avatar_split_clause,[],[f1244,f1232,f916,f3335]) ).
fof(f3335,plain,
( spl15_331
<=> ! [X2,X0,X1,X3] :
( ~ r2_hidden(X3,k9_relat_1(sK13,X2))
| m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_331])]) ).
fof(f1244,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k9_relat_1(sK13,X2))
| m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_115
| ~ spl15_149 ),
inference(superposition,[],[f1233,f917]) ).
fof(f3333,plain,
( spl15_330
| ~ spl15_43
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1193,f1173,f406,f3331]) ).
fof(f3331,plain,
( spl15_330
<=> ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK13) = k8_relset_2(k1_zfmisc_1(X0),X1,X2,sK13)
| ~ m1_eqrel_1(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_330])]) ).
fof(f1193,plain,
( ! [X2,X0,X1] :
( k7_relset_2(k1_zfmisc_1(X0),X1,X2,sK13) = k8_relset_2(k1_zfmisc_1(X0),X1,X2,sK13)
| ~ m1_eqrel_1(X2,X0) )
| ~ spl15_43
| ~ spl15_143 ),
inference(resolution,[],[f1174,f407]) ).
fof(f3329,plain,
( spl15_329
| ~ spl15_119
| ~ spl15_130 ),
inference(avatar_split_clause,[],[f1090,f1075,f968,f3327]) ).
fof(f3327,plain,
( spl15_329
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_eqrel_1(k1_zfmisc_1(k1_zfmisc_1(X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_329])]) ).
fof(f1075,plain,
( spl15_130
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_130])]) ).
fof(f1090,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_eqrel_1(k1_zfmisc_1(k1_zfmisc_1(X0)),X2) )
| ~ spl15_119
| ~ spl15_130 ),
inference(resolution,[],[f1076,f969]) ).
fof(f1076,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0) )
| ~ spl15_130 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f3325,plain,
( spl15_328
| ~ spl15_61
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f994,f972,f538,f3323]) ).
fof(f994,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(k8_setfam_1(X0,k4_relset_2(X1,X0,X2,X3)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X0)))) )
| ~ spl15_61
| ~ spl15_120 ),
inference(resolution,[],[f973,f539]) ).
fof(f3315,plain,
( spl15_129
| ~ spl15_327
| ~ spl15_233
| ~ spl15_255 ),
inference(avatar_split_clause,[],[f2445,f2399,f2077,f3312,f1062]) ).
fof(f2077,plain,
( spl15_233
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_233])]) ).
fof(f2399,plain,
( spl15_255
<=> r1_tarski(sK4,k2_zfmisc_1(sK13,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_255])]) ).
fof(f2445,plain,
( ~ v1_xboole_0(k2_zfmisc_1(sK13,sK1))
| v1_xboole_0(sK4)
| ~ spl15_233
| ~ spl15_255 ),
inference(resolution,[],[f2401,f2078]) ).
fof(f2078,plain,
( ! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl15_233 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f2401,plain,
( r1_tarski(sK4,k2_zfmisc_1(sK13,sK1))
| ~ spl15_255 ),
inference(avatar_component_clause,[],[f2399]) ).
fof(f3167,plain,
( spl15_326
| ~ spl15_17
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1202,f1173,f264,f3165]) ).
fof(f3165,plain,
( spl15_326
<=> ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK13) = k8_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_326])]) ).
fof(f1202,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK13) = k8_relset_2(X0,X1,sK7(k1_zfmisc_1(X0)),sK13)
| ~ spl15_17
| ~ spl15_143 ),
inference(resolution,[],[f1174,f265]) ).
fof(f3163,plain,
( spl15_325
| ~ spl15_37
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1200,f1173,f358,f3161]) ).
fof(f1200,plain,
( ! [X0,X1] :
( k7_relset_2(X0,X1,sK5(X0),sK13) = k8_relset_2(X0,X1,sK5(X0),sK13)
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_143 ),
inference(resolution,[],[f1174,f359]) ).
fof(f3159,plain,
( spl15_324
| ~ spl15_13
| ~ spl15_141 ),
inference(avatar_split_clause,[],[f1187,f1165,f248,f3157]) ).
fof(f3157,plain,
( spl15_324
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_324])]) ).
fof(f1165,plain,
( spl15_141
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_141])]) ).
fof(f1187,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2)
| ~ spl15_13
| ~ spl15_141 ),
inference(resolution,[],[f1166,f249]) ).
fof(f1166,plain,
( ! [X2,X3,X0,X1] :
( ~ r1_tarski(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1)))
| k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) )
| ~ spl15_141 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f3155,plain,
( spl15_323
| ~ spl15_29
| ~ spl15_139 ),
inference(avatar_split_clause,[],[f1181,f1157,f322,f3153]) ).
fof(f3153,plain,
( spl15_323
<=> ! [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,[spl15_323])]) ).
fof(f1181,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) )
| ~ spl15_29
| ~ spl15_139 ),
inference(resolution,[],[f1158,f323]) ).
fof(f3151,plain,
( spl15_322
| ~ spl15_94
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1154,f1141,f777,f3149]) ).
fof(f3149,plain,
( spl15_322
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,sK11(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(sK11(X0,k1_zfmisc_1(X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_322])]) ).
fof(f1154,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK11(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(sK11(X0,k1_zfmisc_1(X1)),X2)
| ~ spl15_94
| ~ spl15_138 ),
inference(resolution,[],[f1142,f778]) ).
fof(f3147,plain,
( spl15_321
| ~ spl15_33
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1153,f1141,f339,f3145]) ).
fof(f3145,plain,
( spl15_321
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,sK10(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(sK10(X0,k1_zfmisc_1(X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_321])]) ).
fof(f1153,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK10(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(sK10(X0,k1_zfmisc_1(X1)),X2)
| ~ spl15_33
| ~ spl15_138 ),
inference(resolution,[],[f1142,f340]) ).
fof(f3143,plain,
( spl15_320
| ~ spl15_93
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1152,f1141,f773,f3141]) ).
fof(f3141,plain,
( spl15_320
<=> ! [X2,X0,X1] : k4_relset_2(X0,X1,sK9(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(sK9(X0,k1_zfmisc_1(X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_320])]) ).
fof(f1152,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK9(X0,k1_zfmisc_1(X1)),X2) = k9_relat_1(sK9(X0,k1_zfmisc_1(X1)),X2)
| ~ spl15_93
| ~ spl15_138 ),
inference(resolution,[],[f1142,f774]) ).
fof(f3139,plain,
( spl15_319
| ~ spl15_37
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1127,f1114,f358,f3137]) ).
fof(f3137,plain,
( spl15_319
<=> ! [X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),sK5(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_319])]) ).
fof(f1127,plain,
( ! [X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),sK5(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl15_37
| ~ spl15_135 ),
inference(resolution,[],[f1115,f359]) ).
fof(f3135,plain,
( spl15_318
| ~ spl15_177
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1673,f1659,f1561,f3133]) ).
fof(f3133,plain,
( spl15_318
<=> ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(sK13),X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_318])]) ).
fof(f1673,plain,
( ! [X0] :
( ~ r1_tarski(k1_zfmisc_1(sK13),X0)
| ~ v1_xboole_0(X0) )
| ~ spl15_177
| ~ spl15_184 ),
inference(superposition,[],[f1562,f1661]) ).
fof(f3131,plain,
( spl15_317
| ~ spl15_89
| ~ spl15_134 ),
inference(avatar_split_clause,[],[f1121,f1110,f756,f3129]) ).
fof(f3129,plain,
( spl15_317
<=> ! [X0,X1] :
( m1_subset_1(sK7(k8_setfam_1(X0,X1)),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(k8_setfam_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_317])]) ).
fof(f1110,plain,
( spl15_134
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,k8_setfam_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_134])]) ).
fof(f1121,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(k8_setfam_1(X0,X1)),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(k8_setfam_1(X0,X1)) )
| ~ spl15_89
| ~ spl15_134 ),
inference(resolution,[],[f1111,f757]) ).
fof(f1111,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k8_setfam_1(X1,X0))
| m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) )
| ~ spl15_134 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f3127,plain,
( spl15_316
| ~ spl15_56
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1096,f1079,f498,f3125]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,k6_relset_1(X1,X2,X3))
| m1_subset_1(X0,k2_zfmisc_1(X2,X1))
| ~ m1_relset_1(X3,X1,X2) )
| ~ spl15_56
| ~ spl15_131 ),
inference(resolution,[],[f1080,f499]) ).
fof(f3123,plain,
( spl15_315
| ~ spl15_113
| ~ spl15_130 ),
inference(avatar_split_clause,[],[f1091,f1075,f908,f3121]) ).
fof(f3121,plain,
( spl15_315
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_315])]) ).
fof(f1091,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X2) )
| ~ spl15_113
| ~ spl15_130 ),
inference(resolution,[],[f1076,f909]) ).
fof(f3119,plain,
( spl15_314
| ~ spl15_28
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1031,f1001,f318,f3117]) ).
fof(f318,plain,
( spl15_28
<=> ! [X0,X1] :
( v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f1031,plain,
( ! [X2,X0,X1] :
( k5_relset_2(X0,k5_relset_2(X1,X2)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k5_relset_2(X1,X2))))
| ~ v1_relat_1(X2) )
| ~ spl15_28
| ~ spl15_121 ),
inference(resolution,[],[f1002,f319]) ).
fof(f319,plain,
( ! [X0,X1] :
( v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) )
| ~ spl15_28 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f3115,plain,
( spl15_313
| ~ spl15_38
| ~ spl15_111 ),
inference(avatar_split_clause,[],[f946,f900,f362,f3113]) ).
fof(f3113,plain,
( spl15_313
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK5(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK5(k2_zfmisc_1(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_313])]) ).
fof(f946,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| sK5(k2_zfmisc_1(X0,X1)) = k4_relat_1(k4_relat_1(sK5(k2_zfmisc_1(X0,X1)))) )
| ~ spl15_38
| ~ spl15_111 ),
inference(resolution,[],[f901,f363]) ).
fof(f3039,plain,
( spl15_312
| ~ spl15_103
| ~ spl15_145 ),
inference(avatar_split_clause,[],[f1651,f1209,f852,f3037]) ).
fof(f3037,plain,
( spl15_312
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k4_relat_1(sK2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_312])]) ).
fof(f1651,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k4_relat_1(sK2) = X0 )
| ~ spl15_103
| ~ spl15_145 ),
inference(resolution,[],[f1211,f853]) ).
fof(f3025,plain,
( spl15_311
| ~ spl15_40
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1192,f1173,f370,f3023]) ).
fof(f3023,plain,
( spl15_311
<=> ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_relset_2(X0,X1,X2,sK13)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_311])]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_relset_2(X0,X1,X2,sK13)
| ~ r1_tarski(X2,X0) )
| ~ spl15_40
| ~ spl15_143 ),
inference(resolution,[],[f1174,f371]) ).
fof(f3021,plain,
( spl15_310
| ~ spl15_106
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1185,f1161,f864,f3019]) ).
fof(f3019,plain,
( spl15_310
<=> ! [X0,X1] :
( m1_relset_1(k5_relset_2(X1,sK13),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_310])]) ).
fof(f1185,plain,
( ! [X0,X1] :
( m1_relset_1(k5_relset_2(X1,sK13),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_106
| ~ spl15_140 ),
inference(superposition,[],[f1162,f865]) ).
fof(f3017,plain,
( spl15_309
| ~ spl15_29
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f1149,f1137,f322,f3015]) ).
fof(f3015,plain,
( spl15_309
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(k1_zfmisc_1(X0),k8_setfam_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_309])]) ).
fof(f1149,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r2_hidden(k1_zfmisc_1(X0),k8_setfam_1(X0,X1)) )
| ~ spl15_29
| ~ spl15_137 ),
inference(resolution,[],[f1138,f323]) ).
fof(f3013,plain,
( spl15_308
| ~ spl15_54
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f995,f972,f490,f3011]) ).
fof(f3011,plain,
( spl15_308
<=> ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,k8_setfam_1(k1_zfmisc_1(X0),X1)),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_308])]) ).
fof(f995,plain,
( ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,k8_setfam_1(k1_zfmisc_1(X0),X1)),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(k1_zfmisc_1(X0)))) )
| ~ spl15_54
| ~ spl15_120 ),
inference(resolution,[],[f973,f491]) ).
fof(f3009,plain,
( spl15_307
| ~ spl15_118
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f988,f968,f964,f3007]) ).
fof(f3007,plain,
( spl15_307
<=> ! [X0,X1] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X1))
| ~ m1_eqrel_1(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_307])]) ).
fof(f964,plain,
( spl15_118
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_118])]) ).
fof(f988,plain,
( ! [X0,X1] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X1))
| ~ m1_eqrel_1(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl15_118
| ~ spl15_119 ),
inference(resolution,[],[f969,f965]) ).
fof(f965,plain,
( ! [X0] :
( r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl15_118 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f3005,plain,
( spl15_306
| ~ spl15_117
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f985,f968,f960,f3003]) ).
fof(f3003,plain,
( spl15_306
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_eqrel_1(k1_zfmisc_1(X2),X1)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ r1_tarski(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_306])]) ).
fof(f960,plain,
( spl15_117
<=> ! [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,[spl15_117])]) ).
fof(f985,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_eqrel_1(k1_zfmisc_1(X2),X1)
| v1_xboole_0(k1_zfmisc_1(X2))
| ~ r1_tarski(X0,X2) )
| ~ spl15_117
| ~ spl15_119 ),
inference(resolution,[],[f969,f961]) ).
fof(f961,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl15_117 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f3001,plain,
( spl15_305
| ~ spl15_61
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f953,f916,f538,f2999]) ).
fof(f2999,plain,
( spl15_305
<=> ! [X2,X0,X1] :
( m1_subset_1(k9_relat_1(sK13,X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_305])]) ).
fof(f953,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k9_relat_1(sK13,X2),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_61
| ~ spl15_115 ),
inference(superposition,[],[f539,f917]) ).
fof(f2992,plain,
( spl15_304
| ~ spl15_59
| ~ spl15_106 ),
inference(avatar_split_clause,[],[f882,f864,f529,f2990]) ).
fof(f2990,plain,
( spl15_304
<=> ! [X0,X1] :
( m2_relset_1(k5_relset_2(X1,sK13),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_304])]) ).
fof(f882,plain,
( ! [X0,X1] :
( m2_relset_1(k5_relset_2(X1,sK13),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_59
| ~ spl15_106 ),
inference(superposition,[],[f530,f865]) ).
fof(f2959,plain,
( spl15_303
| ~ spl15_104
| ~ spl15_266 ),
inference(avatar_split_clause,[],[f2597,f2557,f856,f2957]) ).
fof(f2597,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(sK1,X0) )
| ~ spl15_104
| ~ spl15_266 ),
inference(resolution,[],[f2559,f857]) ).
fof(f2865,plain,
( spl15_302
| ~ spl15_115
| ~ spl15_142 ),
inference(avatar_split_clause,[],[f1191,f1169,f916,f2863]) ).
fof(f2863,plain,
( spl15_302
<=> ! [X2,X0,X1] :
( r1_tarski(k9_relat_1(sK13,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_302])]) ).
fof(f1191,plain,
( ! [X2,X0,X1] :
( r1_tarski(k9_relat_1(sK13,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(sK13,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) )
| ~ spl15_115
| ~ spl15_142 ),
inference(superposition,[],[f1170,f917]) ).
fof(f2861,plain,
( spl15_301
| ~ spl15_56
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1073,f1028,f498,f2859]) ).
fof(f2859,plain,
( spl15_301
<=> ! [X0,X1] :
( m2_relset_1(sK11(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_301])]) ).
fof(f1073,plain,
( ! [X0,X1] :
( m2_relset_1(sK11(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1) )
| ~ spl15_56
| ~ spl15_127 ),
inference(superposition,[],[f499,f1029]) ).
fof(f2857,plain,
( spl15_300
| ~ spl15_125
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1070,f1028,f1020,f2855]) ).
fof(f2855,plain,
( spl15_300
<=> ! [X0,X1] :
( m1_relset_1(sK11(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_300])]) ).
fof(f1070,plain,
( ! [X0,X1] :
( m1_relset_1(sK11(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK11(X0,X1)),X0,X1) )
| ~ spl15_125
| ~ spl15_127 ),
inference(superposition,[],[f1021,f1029]) ).
fof(f2853,plain,
( spl15_299
| ~ spl15_56
| ~ spl15_126 ),
inference(avatar_split_clause,[],[f1069,f1024,f498,f2851]) ).
fof(f2851,plain,
( spl15_299
<=> ! [X0,X1] :
( m2_relset_1(sK9(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_299])]) ).
fof(f1069,plain,
( ! [X0,X1] :
( m2_relset_1(sK9(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1) )
| ~ spl15_56
| ~ spl15_126 ),
inference(superposition,[],[f499,f1025]) ).
fof(f2849,plain,
( spl15_298
| ~ spl15_125
| ~ spl15_126 ),
inference(avatar_split_clause,[],[f1066,f1024,f1020,f2847]) ).
fof(f2847,plain,
( spl15_298
<=> ! [X0,X1] :
( m1_relset_1(sK9(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_298])]) ).
fof(f1066,plain,
( ! [X0,X1] :
( m1_relset_1(sK9(X0,X1),X1,X0)
| ~ m1_relset_1(k4_relat_1(sK9(X0,X1)),X0,X1) )
| ~ spl15_125
| ~ spl15_126 ),
inference(superposition,[],[f1021,f1025]) ).
fof(f2845,plain,
( spl15_297
| ~ spl15_124
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1056,f1020,f1016,f2843]) ).
fof(f2843,plain,
( spl15_297
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK11(X0,X1)),X1,X0)
| ~ m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_297])]) ).
fof(f1056,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK11(X0,X1)),X1,X0)
| ~ m1_relset_1(sK11(X0,X1),X0,X1) )
| ~ spl15_124
| ~ spl15_125 ),
inference(superposition,[],[f1021,f1017]) ).
fof(f2841,plain,
( spl15_296
| ~ spl15_123
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1055,f1020,f1012,f2839]) ).
fof(f2839,plain,
( spl15_296
<=> ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK9(X0,X1)),X1,X0)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_296])]) ).
fof(f1055,plain,
( ! [X0,X1] :
( m1_relset_1(k4_relat_1(sK9(X0,X1)),X1,X0)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl15_123
| ~ spl15_125 ),
inference(superposition,[],[f1021,f1013]) ).
fof(f2837,plain,
( spl15_295
| ~ spl15_56
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1051,f1016,f498,f2835]) ).
fof(f2835,plain,
( spl15_295
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK11(X0,X1)),X1,X0)
| ~ m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_295])]) ).
fof(f1051,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK11(X0,X1)),X1,X0)
| ~ m1_relset_1(sK11(X0,X1),X0,X1) )
| ~ spl15_56
| ~ spl15_124 ),
inference(superposition,[],[f499,f1017]) ).
fof(f2833,plain,
( spl15_294
| ~ spl15_56
| ~ spl15_123 ),
inference(avatar_split_clause,[],[f1048,f1012,f498,f2831]) ).
fof(f2831,plain,
( spl15_294
<=> ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK9(X0,X1)),X1,X0)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_294])]) ).
fof(f1048,plain,
( ! [X0,X1] :
( m2_relset_1(k4_relat_1(sK9(X0,X1)),X1,X0)
| ~ m1_relset_1(sK9(X0,X1),X0,X1) )
| ~ spl15_56
| ~ spl15_123 ),
inference(superposition,[],[f499,f1013]) ).
fof(f2829,plain,
( spl15_293
| ~ spl15_19
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1040,f1001,f272,f2827]) ).
fof(f2827,plain,
( spl15_293
<=> ! [X2,X0,X1] : k5_relset_2(X0,sK11(X1,X2)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK11(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_293])]) ).
fof(f272,plain,
( spl15_19
<=> ! [X0,X1] : v1_relat_1(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f1040,plain,
( ! [X2,X0,X1] : k5_relset_2(X0,sK11(X1,X2)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK11(X1,X2))))
| ~ spl15_19
| ~ spl15_121 ),
inference(resolution,[],[f1002,f273]) ).
fof(f273,plain,
( ! [X0,X1] : v1_relat_1(sK11(X0,X1))
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f2825,plain,
( spl15_292
| ~ spl15_25
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1035,f1001,f299,f2823]) ).
fof(f1035,plain,
( ! [X0,X1] :
( k5_relset_2(X0,k4_relat_1(X1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(X1))))
| ~ v1_relat_1(X1) )
| ~ spl15_25
| ~ spl15_121 ),
inference(resolution,[],[f1002,f300]) ).
fof(f2821,plain,
( spl15_291
| ~ spl15_24
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1034,f1001,f295,f2819]) ).
fof(f2819,plain,
( spl15_291
<=> ! [X0,X1] :
( k5_relset_2(X0,k4_relat_1(X1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(X1))))
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_291])]) ).
fof(f295,plain,
( spl15_24
<=> ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f1034,plain,
( ! [X0,X1] :
( k5_relset_2(X0,k4_relat_1(X1)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k4_relat_1(X1))))
| ~ v1_xboole_0(X1) )
| ~ spl15_24
| ~ spl15_121 ),
inference(resolution,[],[f1002,f296]) ).
fof(f296,plain,
( ! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) )
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f2817,plain,
( ~ spl15_290
| ~ spl15_29
| ~ spl15_266 ),
inference(avatar_split_clause,[],[f2600,f2557,f322,f2814]) ).
fof(f2600,plain,
( ~ r2_hidden(sK1,sK7(sK3))
| ~ spl15_29
| ~ spl15_266 ),
inference(resolution,[],[f2559,f323]) ).
fof(f2812,plain,
( spl15_289
| ~ spl15_18
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1032,f1001,f268,f2810]) ).
fof(f2810,plain,
( spl15_289
<=> ! [X2,X0,X1] : k5_relset_2(X0,k2_zfmisc_1(X1,X2)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k2_zfmisc_1(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_289])]) ).
fof(f268,plain,
( spl15_18
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f1032,plain,
( ! [X2,X0,X1] : k5_relset_2(X0,k2_zfmisc_1(X1,X2)) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k2_zfmisc_1(X1,X2))))
| ~ spl15_18
| ~ spl15_121 ),
inference(resolution,[],[f1002,f269]) ).
fof(f269,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f2808,plain,
( spl15_288
| ~ spl15_113
| ~ spl15_118 ),
inference(avatar_split_clause,[],[f980,f964,f908,f2806]) ).
fof(f2806,plain,
( spl15_288
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK5(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_288])]) ).
fof(f980,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK5(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) )
| ~ spl15_113
| ~ spl15_118 ),
inference(resolution,[],[f965,f909]) ).
fof(f2804,plain,
( spl15_287
| ~ spl15_113
| ~ spl15_117 ),
inference(avatar_split_clause,[],[f975,f960,f908,f2802]) ).
fof(f2802,plain,
( spl15_287
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_287])]) ).
fof(f975,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) )
| ~ spl15_113
| ~ spl15_117 ),
inference(resolution,[],[f961,f909]) ).
fof(f2800,plain,
( spl15_286
| ~ spl15_28
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f922,f888,f318,f2798]) ).
fof(f2798,plain,
( spl15_286
<=> ! [X0,X1] :
( k4_relat_1(k5_relset_2(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(k5_relset_2(X0,X1))))
| ~ v1_relat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_286])]) ).
fof(f922,plain,
( ! [X0,X1] :
( k4_relat_1(k5_relset_2(X0,X1)) = k4_relat_1(k4_relat_1(k4_relat_1(k5_relset_2(X0,X1))))
| ~ v1_relat_1(X1) )
| ~ spl15_28
| ~ spl15_108 ),
inference(resolution,[],[f889,f319]) ).
fof(f2790,plain,
( spl15_285
| ~ spl15_267
| ~ spl15_284 ),
inference(avatar_split_clause,[],[f2786,f2783,f2564,f2788]) ).
fof(f2788,plain,
( spl15_285
<=> ! [X0,X1] : sK10(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK10(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_285])]) ).
fof(f2564,plain,
( spl15_267
<=> ! [X0,X1] : k6_relset_1(X0,X1,sK10(X0,X1)) = k4_relat_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_267])]) ).
fof(f2783,plain,
( spl15_284
<=> ! [X0,X1] : sK10(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK10(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_284])]) ).
fof(f2786,plain,
( ! [X0,X1] : sK10(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK10(X0,X1)))
| ~ spl15_267
| ~ spl15_284 ),
inference(forward_demodulation,[],[f2784,f2565]) ).
fof(f2565,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK10(X0,X1)) = k4_relat_1(sK10(X0,X1))
| ~ spl15_267 ),
inference(avatar_component_clause,[],[f2564]) ).
fof(f2784,plain,
( ! [X0,X1] : sK10(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK10(X0,X1)))
| ~ spl15_284 ),
inference(avatar_component_clause,[],[f2783]) ).
fof(f2785,plain,
( spl15_284
| ~ spl15_57
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f798,f769,f510,f2783]) ).
fof(f769,plain,
( spl15_92
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).
fof(f798,plain,
( ! [X0,X1] : sK10(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK10(X0,X1)))
| ~ spl15_57
| ~ spl15_92 ),
inference(resolution,[],[f770,f511]) ).
fof(f770,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl15_92 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f2781,plain,
( spl15_283
| ~ spl15_38
| ~ spl15_91 ),
inference(avatar_split_clause,[],[f797,f765,f362,f2779]) ).
fof(f2779,plain,
( spl15_283
<=> ! [X0,X1] : sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_283])]) ).
fof(f797,plain,
( ! [X0,X1] : sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) = k4_relat_1(k4_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ spl15_38
| ~ spl15_91 ),
inference(resolution,[],[f766,f363]) ).
fof(f2742,plain,
( spl15_282
| ~ spl15_26
| ~ spl15_42
| ~ spl15_155 ),
inference(avatar_split_clause,[],[f1300,f1276,f390,f303,f2740]) ).
fof(f1300,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK13))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_155 ),
inference(forward_demodulation,[],[f1298,f391]) ).
fof(f1298,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X0,sK8(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))) )
| ~ spl15_26
| ~ spl15_155 ),
inference(resolution,[],[f1277,f304]) ).
fof(f2738,plain,
( spl15_281
| ~ spl15_13
| ~ spl15_136 ),
inference(avatar_split_clause,[],[f1132,f1118,f248,f2736]) ).
fof(f2736,plain,
( spl15_281
<=> ! [X0,X1] : k6_relset_2(X0,X1,k2_zfmisc_1(X1,X0)) = k5_relset_2(X1,k2_zfmisc_1(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_281])]) ).
fof(f2734,plain,
( spl15_280
| ~ spl15_40
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1123,f1114,f370,f2732]) ).
fof(f2732,plain,
( spl15_280
<=> ! [X2,X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),X2))
| ~ r1_tarski(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_280])]) ).
fof(f1123,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),X2))
| ~ r1_tarski(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl15_40
| ~ spl15_135 ),
inference(resolution,[],[f1115,f371]) ).
fof(f2730,plain,
( spl15_279
| ~ spl15_94
| ~ spl15_133 ),
inference(avatar_split_clause,[],[f1108,f1087,f777,f2728]) ).
fof(f2728,plain,
( spl15_279
<=> ! [X0,X1] : k6_relset_2(X0,X1,sK11(X1,X0)) = k5_relset_2(X1,sK11(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_279])]) ).
fof(f2726,plain,
( spl15_278
| ~ spl15_33
| ~ spl15_133 ),
inference(avatar_split_clause,[],[f1107,f1087,f339,f2724]) ).
fof(f2724,plain,
( spl15_278
<=> ! [X0,X1] : k6_relset_2(X0,X1,sK10(X1,X0)) = k5_relset_2(X1,sK10(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_278])]) ).
fof(f2722,plain,
( spl15_277
| ~ spl15_194
| ~ spl15_198
| ~ spl15_268 ),
inference(avatar_split_clause,[],[f2620,f2568,f1799,f1753,f2719]) ).
fof(f2719,plain,
( spl15_277
<=> v1_relat_1(k5_relset_2(sK13,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_277])]) ).
fof(f2620,plain,
( v1_relat_1(k5_relset_2(sK13,sK4))
| ~ spl15_194
| ~ spl15_198
| ~ spl15_268 ),
inference(forward_demodulation,[],[f2611,f1755]) ).
fof(f2611,plain,
( v1_relat_1(k6_relset_2(sK1,sK13,sK4))
| ~ spl15_198
| ~ spl15_268 ),
inference(resolution,[],[f2569,f1800]) ).
fof(f2717,plain,
( spl15_276
| ~ spl15_93
| ~ spl15_133 ),
inference(avatar_split_clause,[],[f1106,f1087,f773,f2715]) ).
fof(f2715,plain,
( spl15_276
<=> ! [X0,X1] : k6_relset_2(X0,X1,sK9(X1,X0)) = k5_relset_2(X1,sK9(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_276])]) ).
fof(f2713,plain,
( spl15_275
| ~ spl15_29
| ~ spl15_130 ),
inference(avatar_split_clause,[],[f1095,f1075,f322,f2711]) ).
fof(f2711,plain,
( spl15_275
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(X0)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_275])]) ).
fof(f1095,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(k1_zfmisc_1(X0)),X1) )
| ~ spl15_29
| ~ spl15_130 ),
inference(resolution,[],[f1076,f323]) ).
fof(f2594,plain,
( spl15_274
| ~ spl15_26
| ~ spl15_42
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1203,f1173,f390,f303,f2592]) ).
fof(f1203,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK13,sK13) = k8_relset_2(X0,X1,sK13,sK13)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_143 ),
inference(forward_demodulation,[],[f1201,f391]) ).
fof(f1201,plain,
( ! [X0,X1] : k7_relset_2(X0,X1,sK8(X0),sK13) = k8_relset_2(X0,X1,sK8(X0),sK13)
| ~ spl15_26
| ~ spl15_143 ),
inference(resolution,[],[f1174,f304]) ).
fof(f2590,plain,
( spl15_273
| ~ spl15_17
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1129,f1114,f264,f2588]) ).
fof(f2588,plain,
( spl15_273
<=> ! [X0,X1] : v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_273])]) ).
fof(f1129,plain,
( ! [X0,X1] : v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),sK7(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))))
| ~ spl15_17
| ~ spl15_135 ),
inference(resolution,[],[f1115,f265]) ).
fof(f2586,plain,
( spl15_272
| ~ spl15_43
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1122,f1114,f406,f2584]) ).
fof(f2584,plain,
( spl15_272
<=> ! [X2,X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),X2))
| ~ m1_eqrel_1(X2,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_272])]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),X2))
| ~ m1_eqrel_1(X2,k2_zfmisc_1(X0,X1)) )
| ~ spl15_43
| ~ spl15_135 ),
inference(resolution,[],[f1115,f407]) ).
fof(f2582,plain,
( spl15_271
| ~ spl15_89
| ~ spl15_132 ),
inference(avatar_split_clause,[],[f1102,f1083,f756,f2580]) ).
fof(f2580,plain,
( spl15_271
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(k8_setfam_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_271])]) ).
fof(f1083,plain,
( spl15_132
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,k8_setfam_1(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_132])]) ).
fof(f1102,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(k8_setfam_1(X0,X1)) )
| ~ spl15_89
| ~ spl15_132 ),
inference(resolution,[],[f1084,f757]) ).
fof(f1084,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,k8_setfam_1(X1,X0))
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) )
| ~ spl15_132 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f2578,plain,
( spl15_270
| ~ spl15_25
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f926,f888,f299,f2576]) ).
fof(f2576,plain,
( spl15_270
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_270])]) ).
fof(f926,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_relat_1(X0) )
| ~ spl15_25
| ~ spl15_108 ),
inference(resolution,[],[f889,f300]) ).
fof(f2574,plain,
( spl15_269
| ~ spl15_24
| ~ spl15_108 ),
inference(avatar_split_clause,[],[f925,f888,f295,f2572]) ).
fof(f2572,plain,
( spl15_269
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_269])]) ).
fof(f925,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = k4_relat_1(k4_relat_1(k4_relat_1(k4_relat_1(X0))))
| ~ v1_xboole_0(X0) )
| ~ spl15_24
| ~ spl15_108 ),
inference(resolution,[],[f889,f296]) ).
fof(f2570,plain,
( spl15_268
| ~ spl15_59
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f804,f781,f529,f2568]) ).
fof(f781,plain,
( spl15_95
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).
fof(f804,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k6_relset_2(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) )
| ~ spl15_59
| ~ spl15_95 ),
inference(resolution,[],[f782,f530]) ).
fof(f782,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl15_95 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f2566,plain,
( spl15_267
| ~ spl15_55
| ~ spl15_92 ),
inference(avatar_split_clause,[],[f799,f769,f494,f2564]) ).
fof(f799,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK10(X0,X1)) = k4_relat_1(sK10(X0,X1))
| ~ spl15_55
| ~ spl15_92 ),
inference(resolution,[],[f770,f495]) ).
fof(f2560,plain,
( spl15_266
| spl15_71
| ~ spl15_44
| ~ spl15_162 ),
inference(avatar_split_clause,[],[f1508,f1354,f410,f621,f2557]) ).
fof(f1508,plain,
( v1_xboole_0(sK1)
| r2_hidden(sK7(sK3),sK1)
| ~ spl15_44
| ~ spl15_162 ),
inference(resolution,[],[f1356,f411]) ).
fof(f2454,plain,
( spl15_265
| ~ spl15_94
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1101,f1079,f777,f2452]) ).
fof(f2452,plain,
( spl15_265
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_265])]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK11(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_94
| ~ spl15_131 ),
inference(resolution,[],[f1080,f778]) ).
fof(f2450,plain,
( spl15_264
| ~ spl15_33
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1100,f1079,f339,f2448]) ).
fof(f2448,plain,
( spl15_264
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_264])]) ).
fof(f1100,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_33
| ~ spl15_131 ),
inference(resolution,[],[f1080,f340]) ).
fof(f2440,plain,
( spl15_263
| ~ spl15_93
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1099,f1079,f773,f2438]) ).
fof(f2438,plain,
( spl15_263
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_263])]) ).
fof(f1099,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_93
| ~ spl15_131 ),
inference(resolution,[],[f1080,f774]) ).
fof(f2436,plain,
( spl15_262
| ~ spl15_37
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f996,f972,f358,f2434]) ).
fof(f2434,plain,
( spl15_262
<=> ! [X0] :
( r1_tarski(k8_setfam_1(X0,sK5(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_262])]) ).
fof(f996,plain,
( ! [X0] :
( r1_tarski(k8_setfam_1(X0,sK5(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl15_37
| ~ spl15_120 ),
inference(resolution,[],[f973,f359]) ).
fof(f2432,plain,
( spl15_261
| ~ spl15_89
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f990,f968,f756,f2430]) ).
fof(f990,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(X0),k1_zfmisc_1(X1))
| ~ m1_eqrel_1(X0,X1)
| v1_xboole_0(X0) )
| ~ spl15_89
| ~ spl15_119 ),
inference(resolution,[],[f969,f757]) ).
fof(f2428,plain,
( spl15_260
| ~ spl15_29
| ~ spl15_118 ),
inference(avatar_split_clause,[],[f984,f964,f322,f2426]) ).
fof(f2426,plain,
( spl15_260
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_260])]) ).
fof(f984,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK5(X0)) )
| ~ spl15_29
| ~ spl15_118 ),
inference(resolution,[],[f965,f323]) ).
fof(f2424,plain,
( spl15_259
| ~ spl15_29
| ~ spl15_117 ),
inference(avatar_split_clause,[],[f979,f960,f322,f2422]) ).
fof(f2422,plain,
( spl15_259
<=> ! [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,[spl15_259])]) ).
fof(f979,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl15_29
| ~ spl15_117 ),
inference(resolution,[],[f961,f323]) ).
fof(f2420,plain,
( spl15_258
| ~ spl15_89
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f952,f912,f756,f2418]) ).
fof(f2418,plain,
( spl15_258
<=> ! [X0] :
( m1_subset_1(sK7(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_258])]) ).
fof(f912,plain,
( spl15_114
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK5(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_114])]) ).
fof(f952,plain,
( ! [X0] :
( m1_subset_1(sK7(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) )
| ~ spl15_89
| ~ spl15_114 ),
inference(resolution,[],[f913,f757]) ).
fof(f913,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK5(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl15_114 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f2416,plain,
( spl15_257
| ~ spl15_99
| ~ spl15_113 ),
inference(avatar_split_clause,[],[f950,f908,f827,f2414]) ).
fof(f2414,plain,
( spl15_257
<=> ! [X0,X1] :
( m1_subset_1(sK13,X0)
| ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_257])]) ).
fof(f827,plain,
( spl15_99
<=> ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).
fof(f950,plain,
( ! [X0,X1] :
( m1_subset_1(sK13,X0)
| ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) )
| ~ spl15_99
| ~ spl15_113 ),
inference(resolution,[],[f909,f828]) ).
fof(f828,plain,
( ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl15_99 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f2412,plain,
( spl15_256
| ~ spl15_89
| ~ spl15_105 ),
inference(avatar_split_clause,[],[f881,f860,f756,f2410]) ).
fof(f2410,plain,
( spl15_256
<=> ! [X0] :
( m1_subset_1(sK7(sK7(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_256])]) ).
fof(f860,plain,
( spl15_105
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).
fof(f881,plain,
( ! [X0] :
( m1_subset_1(sK7(sK7(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) )
| ~ spl15_89
| ~ spl15_105 ),
inference(resolution,[],[f861,f757]) ).
fof(f861,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl15_105 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f2402,plain,
( spl15_255
| ~ spl15_39
| ~ spl15_198 ),
inference(avatar_split_clause,[],[f2145,f1799,f366,f2399]) ).
fof(f2145,plain,
( r1_tarski(sK4,k2_zfmisc_1(sK13,sK1))
| ~ spl15_39
| ~ spl15_198 ),
inference(resolution,[],[f1800,f367]) ).
fof(f2315,plain,
( spl15_254
| ~ spl15_5
| ~ spl15_30
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1044,f1001,f326,f210,f2313]) ).
fof(f2313,plain,
( spl15_254
<=> ! [X0] : k5_relset_2(X0,sK13) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_254])]) ).
fof(f210,plain,
( spl15_5
<=> v1_relat_1(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f1044,plain,
( ! [X0] : k5_relset_2(X0,sK13) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK13)))
| ~ spl15_5
| ~ spl15_30
| ~ spl15_121 ),
inference(forward_demodulation,[],[f1033,f328]) ).
fof(f1033,plain,
( ! [X0] : k5_relset_2(X0,k1_xboole_0) = k4_relat_1(k4_relat_1(k5_relset_2(X0,k1_xboole_0)))
| ~ spl15_5
| ~ spl15_121 ),
inference(resolution,[],[f1002,f212]) ).
fof(f212,plain,
( v1_relat_1(k1_xboole_0)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f2311,plain,
( spl15_253
| ~ spl15_10
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1043,f1001,f235,f2309]) ).
fof(f2309,plain,
( spl15_253
<=> ! [X0] : k5_relset_2(X0,sK14) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_253])]) ).
fof(f235,plain,
( spl15_10
<=> v1_relat_1(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f1043,plain,
( ! [X0] : k5_relset_2(X0,sK14) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK14)))
| ~ spl15_10
| ~ spl15_121 ),
inference(resolution,[],[f1002,f237]) ).
fof(f237,plain,
( v1_relat_1(sK14)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f2307,plain,
( spl15_252
| ~ spl15_7
| ~ spl15_121 ),
inference(avatar_split_clause,[],[f1041,f1001,f220,f2305]) ).
fof(f2305,plain,
( spl15_252
<=> ! [X0] : k5_relset_2(X0,sK12) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_252])]) ).
fof(f220,plain,
( spl15_7
<=> v1_relat_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f1041,plain,
( ! [X0] : k5_relset_2(X0,sK12) = k4_relat_1(k4_relat_1(k5_relset_2(X0,sK12)))
| ~ spl15_7
| ~ spl15_121 ),
inference(resolution,[],[f1002,f222]) ).
fof(f222,plain,
( v1_relat_1(sK12)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f2297,plain,
( spl15_251
| ~ spl15_40
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f992,f972,f370,f2295]) ).
fof(f992,plain,
( ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,X1),X0)
| ~ r1_tarski(X1,k1_zfmisc_1(X0)) )
| ~ spl15_40
| ~ spl15_120 ),
inference(resolution,[],[f973,f371]) ).
fof(f2293,plain,
( spl15_250
| ~ spl15_89
| ~ spl15_113 ),
inference(avatar_split_clause,[],[f951,f908,f756,f2291]) ).
fof(f951,plain,
( ! [X0,X1] :
( m1_subset_1(sK7(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) )
| ~ spl15_89
| ~ spl15_113 ),
inference(resolution,[],[f909,f757]) ).
fof(f2289,plain,
( spl15_249
| ~ spl15_23
| ~ spl15_110 ),
inference(avatar_split_clause,[],[f943,f896,f291,f2287]) ).
fof(f2287,plain,
( spl15_249
<=> ! [X0,X1] :
( v1_xboole_0(sK11(X0,X1))
| ~ v1_xboole_0(k4_relat_1(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_249])]) ).
fof(f896,plain,
( spl15_110
<=> ! [X0,X1] : sK11(X0,X1) = k4_relat_1(k4_relat_1(sK11(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).
fof(f943,plain,
( ! [X0,X1] :
( v1_xboole_0(sK11(X0,X1))
| ~ v1_xboole_0(k4_relat_1(sK11(X0,X1))) )
| ~ spl15_23
| ~ spl15_110 ),
inference(superposition,[],[f292,f897]) ).
fof(f897,plain,
( ! [X0,X1] : sK11(X0,X1) = k4_relat_1(k4_relat_1(sK11(X0,X1)))
| ~ spl15_110 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f2285,plain,
( spl15_248
| ~ spl15_23
| ~ spl15_107 ),
inference(avatar_split_clause,[],[f920,f884,f291,f2283]) ).
fof(f2283,plain,
( spl15_248
<=> ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ v1_xboole_0(k4_relat_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_248])]) ).
fof(f884,plain,
( spl15_107
<=> ! [X0,X1] : k2_zfmisc_1(X0,X1) = k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).
fof(f920,plain,
( ! [X0,X1] :
( v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ v1_xboole_0(k4_relat_1(k2_zfmisc_1(X0,X1))) )
| ~ spl15_23
| ~ spl15_107 ),
inference(superposition,[],[f292,f885]) ).
fof(f885,plain,
( ! [X0,X1] : k2_zfmisc_1(X0,X1) = k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1)))
| ~ spl15_107 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f2281,plain,
( spl15_247
| ~ spl15_23
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f868,f852,f291,f2279]) ).
fof(f2279,plain,
( spl15_247
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| k4_relat_1(k4_relat_1(X1)) = X0
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_247])]) ).
fof(f868,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| k4_relat_1(k4_relat_1(X1)) = X0
| ~ v1_xboole_0(X1) )
| ~ spl15_23
| ~ spl15_103 ),
inference(resolution,[],[f853,f292]) ).
fof(f2277,plain,
( spl15_246
| ~ spl15_56
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f803,f781,f498,f2275]) ).
fof(f803,plain,
( ! [X2,X0,X1] :
( v1_relat_1(k6_relset_1(X0,X1,X2))
| ~ m1_relset_1(X2,X0,X1) )
| ~ spl15_56
| ~ spl15_95 ),
inference(resolution,[],[f782,f499]) ).
fof(f2263,plain,
( spl15_245
| ~ spl15_171
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2139,f2127,f1473,f2261]) ).
fof(f2261,plain,
( spl15_245
<=> ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(k7_relset_2(sK13,sK1,sK13,sK4))))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_245])]) ).
fof(f2139,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(k7_relset_2(sK13,sK1,sK13,sK4))))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_171
| ~ spl15_235 ),
inference(resolution,[],[f2129,f1474]) ).
fof(f2254,plain,
( spl15_244
| ~ spl15_168
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2138,f2127,f1440,f2252]) ).
fof(f2252,plain,
( spl15_244
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k7_relset_2(sK13,sK1,sK13,sK4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_244])]) ).
fof(f2138,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(k7_relset_2(sK13,sK1,sK13,sK4))))
| ~ spl15_168
| ~ spl15_235 ),
inference(resolution,[],[f2129,f1441]) ).
fof(f2228,plain,
( spl15_243
| ~ spl15_17
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f998,f972,f264,f2226]) ).
fof(f2226,plain,
( spl15_243
<=> ! [X0] : r1_tarski(k8_setfam_1(X0,sK7(k1_zfmisc_1(k1_zfmisc_1(X0)))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_243])]) ).
fof(f998,plain,
( ! [X0] : r1_tarski(k8_setfam_1(X0,sK7(k1_zfmisc_1(k1_zfmisc_1(X0)))),X0)
| ~ spl15_17
| ~ spl15_120 ),
inference(resolution,[],[f973,f265]) ).
fof(f2214,plain,
( spl15_242
| ~ spl15_164
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2137,f2127,f1384,f2212]) ).
fof(f2212,plain,
( spl15_242
<=> ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_242])]) ).
fof(f2137,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_164
| ~ spl15_235 ),
inference(resolution,[],[f2129,f1385]) ).
fof(f2205,plain,
( spl15_241
| ~ spl15_161
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2136,f2127,f1350,f2203]) ).
fof(f2203,plain,
( spl15_241
<=> ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_241])]) ).
fof(f2136,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| ~ spl15_161
| ~ spl15_235 ),
inference(resolution,[],[f2129,f1351]) ).
fof(f2197,plain,
( spl15_240
| ~ spl15_158
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2135,f2127,f1312,f2195]) ).
fof(f2135,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(k7_relset_2(sK13,sK1,sK13,sK4))))
| ~ spl15_158
| ~ spl15_235 ),
inference(resolution,[],[f2129,f1313]) ).
fof(f2181,plain,
( spl15_239
| ~ spl15_143
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2134,f2127,f1173,f2179]) ).
fof(f2134,plain,
( ! [X0] : k7_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13) = k8_relset_2(sK1,X0,k7_relset_2(sK13,sK1,sK13,sK4),sK13)
| ~ spl15_143
| ~ spl15_235 ),
inference(resolution,[],[f2129,f1174]) ).
fof(f2171,plain,
( spl15_238
| spl15_77
| ~ spl15_44
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2140,f2127,f410,f650,f2168]) ).
fof(f2140,plain,
( v1_xboole_0(k1_zfmisc_1(sK1))
| r2_hidden(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_44
| ~ spl15_235 ),
inference(resolution,[],[f2129,f411]) ).
fof(f2165,plain,
( spl15_237
| ~ spl15_52
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2133,f2127,f468,f2163]) ).
fof(f2133,plain,
( ! [X0] :
( m1_subset_1(X0,sK1)
| ~ r2_hidden(X0,k7_relset_2(sK13,sK1,sK13,sK4)) )
| ~ spl15_52
| ~ spl15_235 ),
inference(resolution,[],[f2129,f469]) ).
fof(f2160,plain,
( spl15_236
| ~ spl15_39
| ~ spl15_235 ),
inference(avatar_split_clause,[],[f2131,f2127,f366,f2157]) ).
fof(f2131,plain,
( r1_tarski(k7_relset_2(sK13,sK1,sK13,sK4),sK1)
| ~ spl15_39
| ~ spl15_235 ),
inference(resolution,[],[f2129,f367]) ).
fof(f2130,plain,
( spl15_235
| ~ spl15_26
| ~ spl15_42
| ~ spl15_96
| ~ spl15_184
| ~ spl15_187
| ~ spl15_202 ),
inference(avatar_split_clause,[],[f2123,f1829,f1713,f1659,f810,f390,f303,f2127]) ).
fof(f2123,plain,
( m1_subset_1(k7_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_96
| ~ spl15_184
| ~ spl15_187
| ~ spl15_202 ),
inference(forward_demodulation,[],[f2122,f1838]) ).
fof(f2122,plain,
( m1_subset_1(k8_relset_2(sK13,sK1,sK13,sK4),k1_zfmisc_1(sK1))
| ~ spl15_96
| ~ spl15_184
| ~ spl15_187 ),
inference(forward_demodulation,[],[f2121,f1661]) ).
fof(f2116,plain,
( ~ spl15_214
| ~ spl15_51
| spl15_198 ),
inference(avatar_split_clause,[],[f1803,f1799,f464,f1943]) ).
fof(f1943,plain,
( spl15_214
<=> m2_relset_1(sK4,sK13,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_214])]) ).
fof(f1803,plain,
( ~ m2_relset_1(sK4,sK13,sK1)
| ~ spl15_51
| spl15_198 ),
inference(resolution,[],[f1801,f465]) ).
fof(f1801,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1)))
| spl15_198 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f2115,plain,
( spl15_234
| ~ spl15_43
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f991,f972,f406,f2113]) ).
fof(f991,plain,
( ! [X0,X1] :
( r1_tarski(k8_setfam_1(X0,X1),X0)
| ~ m1_eqrel_1(X1,X0) )
| ~ spl15_43
| ~ spl15_120 ),
inference(resolution,[],[f973,f407]) ).
fof(f2079,plain,
( spl15_233
| ~ spl15_89
| ~ spl15_104 ),
inference(avatar_split_clause,[],[f879,f856,f756,f2077]) ).
fof(f879,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X1) )
| ~ spl15_89
| ~ spl15_104 ),
inference(resolution,[],[f857,f757]) ).
fof(f2075,plain,
( spl15_232
| ~ spl15_23
| ~ spl15_87 ),
inference(avatar_split_clause,[],[f785,f748,f291,f2073]) ).
fof(f2073,plain,
( spl15_232
<=> ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = sK13
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_232])]) ).
fof(f785,plain,
( ! [X0] :
( k4_relat_1(k4_relat_1(X0)) = sK13
| ~ v1_xboole_0(X0) )
| ~ spl15_23
| ~ spl15_87 ),
inference(resolution,[],[f749,f292]) ).
fof(f2063,plain,
( spl15_231
| ~ spl15_2
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1491,f1473,f195,f2061]) ).
fof(f2061,plain,
( spl15_231
<=> ! [X0] :
( k7_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(sK3)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_231])]) ).
fof(f1491,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k6_relset_2(X0,sK1,sK5(k2_zfmisc_1(sK1,X0))),k3_pua2mss1(sK3)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_2
| ~ spl15_171 ),
inference(resolution,[],[f1474,f197]) ).
fof(f2058,plain,
( spl15_230
| ~ spl15_1
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1490,f1473,f190,f2056]) ).
fof(f2056,plain,
( spl15_230
<=> ! [X0] :
( k7_relset_2(sK0,X0,sK2,sK5(k2_zfmisc_1(sK0,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK0),X0,k6_relset_2(X0,sK0,sK5(k2_zfmisc_1(sK0,X0))),k3_pua2mss1(sK2)))
| v1_xboole_0(k2_zfmisc_1(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_230])]) ).
fof(f1490,plain,
( ! [X0] :
( k7_relset_2(sK0,X0,sK2,sK5(k2_zfmisc_1(sK0,X0))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK0),X0,k6_relset_2(X0,sK0,sK5(k2_zfmisc_1(sK0,X0))),k3_pua2mss1(sK2)))
| v1_xboole_0(k2_zfmisc_1(sK0,X0)) )
| ~ spl15_1
| ~ spl15_171 ),
inference(resolution,[],[f1474,f192]) ).
fof(f2050,plain,
( spl15_229
| ~ spl15_2
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1450,f1440,f195,f2048]) ).
fof(f2048,plain,
( spl15_229
<=> ! [X0] : k7_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_229])]) ).
fof(f1450,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))),k3_pua2mss1(sK3)))
| ~ spl15_2
| ~ spl15_168 ),
inference(resolution,[],[f1441,f197]) ).
fof(f2046,plain,
( spl15_228
| ~ spl15_74
| ~ spl15_84
| ~ spl15_145
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1678,f1659,f1209,f690,f634,f2043]) ).
fof(f2043,plain,
( spl15_228
<=> r2_hidden(sK13,k1_zfmisc_1(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_228])]) ).
fof(f1678,plain,
( r2_hidden(sK13,k1_zfmisc_1(sK13))
| ~ spl15_74
| ~ spl15_84
| ~ spl15_145
| ~ spl15_184 ),
inference(forward_demodulation,[],[f1670,f1653]) ).
fof(f1670,plain,
( r2_hidden(sK2,k1_zfmisc_1(sK13))
| ~ spl15_74
| ~ spl15_184 ),
inference(superposition,[],[f636,f1661]) ).
fof(f2040,plain,
( spl15_227
| ~ spl15_1
| ~ spl15_168 ),
inference(avatar_split_clause,[],[f1449,f1440,f190,f2038]) ).
fof(f2038,plain,
( spl15_227
<=> ! [X0] : k7_relset_2(sK0,X0,sK2,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK0),X0,k5_relset_2(sK0,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))),k3_pua2mss1(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_227])]) ).
fof(f1449,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK2,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK0),X0,k5_relset_2(sK0,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))),k3_pua2mss1(sK2)))
| ~ spl15_1
| ~ spl15_168 ),
inference(resolution,[],[f1441,f192]) ).
fof(f2027,plain,
( spl15_226
| ~ spl15_26
| ~ spl15_42
| ~ spl15_135 ),
inference(avatar_split_clause,[],[f1130,f1114,f390,f303,f2025]) ).
fof(f2025,plain,
( spl15_226
<=> ! [X0,X1] : v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_226])]) ).
fof(f1130,plain,
( ! [X0,X1] : v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),sK13))
| ~ spl15_26
| ~ spl15_42
| ~ spl15_135 ),
inference(forward_demodulation,[],[f1128,f391]) ).
fof(f1128,plain,
( ! [X0,X1] : v1_relat_1(k8_setfam_1(k2_zfmisc_1(X0,X1),sK8(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| ~ spl15_26
| ~ spl15_135 ),
inference(resolution,[],[f1115,f304]) ).
fof(f2023,plain,
( spl15_225
| ~ spl15_89
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f850,f835,f756,f2021]) ).
fof(f2021,plain,
( spl15_225
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_225])]) ).
fof(f835,plain,
( spl15_101
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).
fof(f850,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK7(k1_zfmisc_1(X0))) )
| ~ spl15_89
| ~ spl15_101 ),
inference(resolution,[],[f836,f757]) ).
fof(f836,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl15_101 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f2019,plain,
( spl15_224
| ~ spl15_29
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f793,f756,f322,f2017]) ).
fof(f2017,plain,
( spl15_224
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK7(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_224])]) ).
fof(f793,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK7(X0)) )
| ~ spl15_29
| ~ spl15_89 ),
inference(resolution,[],[f757,f323]) ).
fof(f2007,plain,
( spl15_223
| ~ spl15_184
| ~ spl15_221 ),
inference(avatar_split_clause,[],[f1990,f1986,f1659,f2005]) ).
fof(f1990,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(X0))) )
| ~ spl15_184
| ~ spl15_221 ),
inference(forward_demodulation,[],[f1989,f1661]) ).
fof(f1989,plain,
( ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK13),sK1,k5_relset_2(sK13,sK4),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) )
| ~ spl15_184
| ~ spl15_221 ),
inference(forward_demodulation,[],[f1987,f1661]) ).
fof(f1995,plain,
( spl15_222
| ~ spl15_67
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1668,f1659,f602,f1992]) ).
fof(f1668,plain,
( m1_relset_1(sK4,sK13,sK1)
| ~ spl15_67
| ~ spl15_184 ),
inference(superposition,[],[f604,f1661]) ).
fof(f1988,plain,
( spl15_221
| ~ spl15_3
| ~ spl15_133
| ~ spl15_165 ),
inference(avatar_split_clause,[],[f1409,f1400,f1087,f200,f1986]) ).
fof(f1409,plain,
( ! [X0] :
( k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k5_relset_2(sK0,sK4),k3_pua2mss1(X0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) )
| ~ spl15_3
| ~ spl15_133
| ~ spl15_165 ),
inference(forward_demodulation,[],[f1405,f1105]) ).
fof(f1105,plain,
( k6_relset_2(sK1,sK0,sK4) = k5_relset_2(sK0,sK4)
| ~ spl15_3
| ~ spl15_133 ),
inference(resolution,[],[f1088,f202]) ).
fof(f1405,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_setfam_1(sK1,k4_relset_2(k1_zfmisc_1(sK0),sK1,k6_relset_2(sK1,sK0,sK4),k3_pua2mss1(X0))) )
| ~ spl15_3
| ~ spl15_165 ),
inference(resolution,[],[f1401,f202]) ).
fof(f1984,plain,
( spl15_220
| ~ spl15_2
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1394,f1384,f195,f1982]) ).
fof(f1394,plain,
( ! [X0] :
( k7_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0))) = k8_relset_2(sK1,X0,sK3,sK5(k2_zfmisc_1(sK1,X0)))
| v1_xboole_0(k2_zfmisc_1(sK1,X0)) )
| ~ spl15_2
| ~ spl15_164 ),
inference(resolution,[],[f1385,f197]) ).
fof(f1977,plain,
( spl15_219
| ~ spl15_1
| ~ spl15_164 ),
inference(avatar_split_clause,[],[f1393,f1384,f190,f1975]) ).
fof(f1975,plain,
( spl15_219
<=> ! [X0] :
( k7_relset_2(sK0,X0,sK2,sK5(k2_zfmisc_1(sK0,X0))) = k8_relset_2(sK0,X0,sK2,sK5(k2_zfmisc_1(sK0,X0)))
| v1_xboole_0(k2_zfmisc_1(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_219])]) ).
fof(f1393,plain,
( ! [X0] :
( k7_relset_2(sK0,X0,sK2,sK5(k2_zfmisc_1(sK0,X0))) = k8_relset_2(sK0,X0,sK2,sK5(k2_zfmisc_1(sK0,X0)))
| v1_xboole_0(k2_zfmisc_1(sK0,X0)) )
| ~ spl15_1
| ~ spl15_164 ),
inference(resolution,[],[f1385,f192]) ).
fof(f1966,plain,
( spl15_218
| ~ spl15_26
| ~ spl15_42
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f999,f972,f390,f303,f1964]) ).
fof(f1964,plain,
( spl15_218
<=> ! [X0] : r1_tarski(k8_setfam_1(X0,sK13),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_218])]) ).
fof(f999,plain,
( ! [X0] : r1_tarski(k8_setfam_1(X0,sK13),X0)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_120 ),
inference(forward_demodulation,[],[f997,f391]) ).
fof(f997,plain,
( ! [X0] : r1_tarski(k8_setfam_1(X0,sK8(k1_zfmisc_1(X0))),X0)
| ~ spl15_26
| ~ spl15_120 ),
inference(resolution,[],[f973,f304]) ).
fof(f1961,plain,
( ~ spl15_216
| spl15_217
| ~ spl15_23
| ~ spl15_81 ),
inference(avatar_split_clause,[],[f737,f676,f291,f1958,f1954]) ).
fof(f1954,plain,
( spl15_216
<=> v1_xboole_0(k4_relat_1(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_216])]) ).
fof(f1958,plain,
( spl15_217
<=> v1_xboole_0(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_217])]) ).
fof(f676,plain,
( spl15_81
<=> sK14 = k4_relat_1(k4_relat_1(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).
fof(f737,plain,
( v1_xboole_0(sK14)
| ~ v1_xboole_0(k4_relat_1(sK14))
| ~ spl15_23
| ~ spl15_81 ),
inference(superposition,[],[f292,f678]) ).
fof(f678,plain,
( sK14 = k4_relat_1(k4_relat_1(sK14))
| ~ spl15_81 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1951,plain,
( ~ spl15_215
| spl15_6
| ~ spl15_23
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f734,f671,f291,f215,f1948]) ).
fof(f1948,plain,
( spl15_215
<=> v1_xboole_0(k4_relat_1(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_215])]) ).
fof(f215,plain,
( spl15_6
<=> v1_xboole_0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f671,plain,
( spl15_80
<=> sK12 = k4_relat_1(k4_relat_1(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).
fof(f734,plain,
( v1_xboole_0(sK12)
| ~ v1_xboole_0(k4_relat_1(sK12))
| ~ spl15_23
| ~ spl15_80 ),
inference(superposition,[],[f292,f673]) ).
fof(f673,plain,
( sK12 = k4_relat_1(k4_relat_1(sK12))
| ~ spl15_80 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f1946,plain,
( spl15_214
| ~ spl15_3
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1664,f1659,f200,f1943]) ).
fof(f1664,plain,
( m2_relset_1(sK4,sK13,sK1)
| ~ spl15_3
| ~ spl15_184 ),
inference(superposition,[],[f202,f1661]) ).
fof(f1936,plain,
( spl15_213
| ~ spl15_2
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1378,f1350,f195,f1934]) ).
fof(f1378,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0)))) = k8_relset_2(sK1,X0,sK3,sK7(k1_zfmisc_1(k2_zfmisc_1(sK1,X0))))
| ~ spl15_2
| ~ spl15_161 ),
inference(resolution,[],[f1351,f197]) ).
fof(f1930,plain,
( spl15_212
| ~ spl15_1
| ~ spl15_161 ),
inference(avatar_split_clause,[],[f1377,f1350,f190,f1928]) ).
fof(f1928,plain,
( spl15_212
<=> ! [X0] : k7_relset_2(sK0,X0,sK2,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) = k8_relset_2(sK0,X0,sK2,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_212])]) ).
fof(f1377,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK2,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0)))) = k8_relset_2(sK0,X0,sK2,sK7(k1_zfmisc_1(k2_zfmisc_1(sK0,X0))))
| ~ spl15_1
| ~ spl15_161 ),
inference(resolution,[],[f1351,f192]) ).
fof(f1920,plain,
( ~ spl15_211
| ~ spl15_184
| spl15_210 ),
inference(avatar_split_clause,[],[f1915,f1911,f1659,f1917]) ).
fof(f1915,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK13,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK13))
| ~ spl15_184
| spl15_210 ),
inference(forward_demodulation,[],[f1913,f1661]) ).
fof(f1914,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_210
| spl15_36
| ~ spl15_55
| ~ spl15_67
| ~ spl15_172 ),
inference(avatar_split_clause,[],[f1507,f1497,f602,f494,f353,f1911,f200,f195]) ).
fof(f1507,plain,
( ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| spl15_36
| ~ spl15_55
| ~ spl15_67
| ~ spl15_172 ),
inference(forward_demodulation,[],[f1500,f607]) ).
fof(f607,plain,
( k6_relset_1(sK0,sK1,sK4) = k4_relat_1(sK4)
| ~ spl15_55
| ~ spl15_67 ),
inference(resolution,[],[f604,f495]) ).
fof(f1500,plain,
( ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),k1_zfmisc_1(sK0))
| spl15_36
| ~ spl15_172 ),
inference(resolution,[],[f1498,f355]) ).
fof(f1909,plain,
( spl15_209
| ~ spl15_2
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1328,f1312,f195,f1907]) ).
fof(f1328,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK1),X0,k5_relset_2(sK1,sK13),k3_pua2mss1(sK3)))
| ~ spl15_2
| ~ spl15_158 ),
inference(resolution,[],[f1313,f197]) ).
fof(f1904,plain,
( spl15_208
| ~ spl15_1
| ~ spl15_158 ),
inference(avatar_split_clause,[],[f1327,f1312,f190,f1902]) ).
fof(f1902,plain,
( spl15_208
<=> ! [X0] : k7_relset_2(sK0,X0,sK2,sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK0),X0,k5_relset_2(sK0,sK13),k3_pua2mss1(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_208])]) ).
fof(f1327,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK2,sK13) = k8_setfam_1(X0,k4_relset_2(k1_zfmisc_1(sK0),X0,k5_relset_2(sK0,sK13),k3_pua2mss1(sK2)))
| ~ spl15_1
| ~ spl15_158 ),
inference(resolution,[],[f1313,f192]) ).
fof(f1896,plain,
( spl15_207
| ~ spl15_87
| ~ spl15_145 ),
inference(avatar_split_clause,[],[f1652,f1209,f748,f1893]) ).
fof(f1893,plain,
( spl15_207
<=> sK13 = k4_relat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_207])]) ).
fof(f1652,plain,
( sK13 = k4_relat_1(sK2)
| ~ spl15_87
| ~ spl15_145 ),
inference(resolution,[],[f1211,f749]) ).
fof(f1855,plain,
( spl15_206
| ~ spl15_33
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f807,f781,f339,f1853]) ).
fof(f1853,plain,
( spl15_206
<=> ! [X0,X1] : v1_relat_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_206])]) ).
fof(f807,plain,
( ! [X0,X1] : v1_relat_1(sK10(X0,X1))
| ~ spl15_33
| ~ spl15_95 ),
inference(resolution,[],[f782,f340]) ).
fof(f1851,plain,
( spl15_205
| ~ spl15_93
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f806,f781,f773,f1849]) ).
fof(f1849,plain,
( spl15_205
<=> ! [X0,X1] : v1_relat_1(sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_205])]) ).
fof(f806,plain,
( ! [X0,X1] : v1_relat_1(sK9(X0,X1))
| ~ spl15_93
| ~ spl15_95 ),
inference(resolution,[],[f782,f774]) ).
fof(f1847,plain,
( spl15_204
| ~ spl15_4
| ~ spl15_30
| ~ spl15_87 ),
inference(avatar_split_clause,[],[f788,f748,f326,f205,f1844]) ).
fof(f788,plain,
( sK13 = k4_relat_1(sK13)
| ~ spl15_4
| ~ spl15_30
| ~ spl15_87 ),
inference(forward_demodulation,[],[f784,f328]) ).
fof(f784,plain,
( sK13 = k4_relat_1(k1_xboole_0)
| ~ spl15_4
| ~ spl15_87 ),
inference(resolution,[],[f749,f207]) ).
fof(f1842,plain,
( spl15_203
| ~ spl15_26
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f667,f390,f303,f1840]) ).
fof(f1840,plain,
( spl15_203
<=> ! [X0] : m1_subset_1(sK13,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_203])]) ).
fof(f667,plain,
( ! [X0] : m1_subset_1(sK13,k1_zfmisc_1(X0))
| ~ spl15_26
| ~ spl15_42 ),
inference(superposition,[],[f304,f391]) ).
fof(f1831,plain,
( spl15_202
| ~ spl15_184
| ~ spl15_201 ),
inference(avatar_split_clause,[],[f1827,f1823,f1659,f1829]) ).
fof(f1827,plain,
( ! [X0] :
( k7_relset_2(sK13,sK1,X0,sK4) = k8_relset_2(sK13,sK1,X0,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(sK13)) )
| ~ spl15_184
| ~ spl15_201 ),
inference(forward_demodulation,[],[f1826,f1661]) ).
fof(f1826,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK13))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_relset_2(sK0,sK1,X0,sK4) )
| ~ spl15_184
| ~ spl15_201 ),
inference(forward_demodulation,[],[f1824,f1661]) ).
fof(f1825,plain,
( spl15_201
| ~ spl15_3
| ~ spl15_152 ),
inference(avatar_split_clause,[],[f1263,f1254,f200,f1823]) ).
fof(f1263,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| k7_relset_2(sK0,sK1,X0,sK4) = k8_relset_2(sK0,sK1,X0,sK4) )
| ~ spl15_3
| ~ spl15_152 ),
inference(resolution,[],[f1255,f202]) ).
fof(f1813,plain,
( spl15_200
| ~ spl15_2
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1199,f1173,f195,f1811]) ).
fof(f1199,plain,
( ! [X0] : k7_relset_2(sK1,X0,sK3,sK13) = k8_relset_2(sK1,X0,sK3,sK13)
| ~ spl15_2
| ~ spl15_143 ),
inference(resolution,[],[f1174,f197]) ).
fof(f1808,plain,
( spl15_199
| ~ spl15_1
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1198,f1173,f190,f1806]) ).
fof(f1806,plain,
( spl15_199
<=> ! [X0] : k7_relset_2(sK0,X0,sK2,sK13) = k8_relset_2(sK0,X0,sK2,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_199])]) ).
fof(f1198,plain,
( ! [X0] : k7_relset_2(sK0,X0,sK2,sK13) = k8_relset_2(sK0,X0,sK2,sK13)
| ~ spl15_1
| ~ spl15_143 ),
inference(resolution,[],[f1174,f192]) ).
fof(f1802,plain,
( ~ spl15_198
| ~ spl15_184
| spl15_197 ),
inference(avatar_split_clause,[],[f1797,f1793,f1659,f1799]) ).
fof(f1797,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK13,sK1)))
| ~ spl15_184
| spl15_197 ),
inference(forward_demodulation,[],[f1795,f1661]) ).
fof(f1796,plain,
( ~ spl15_1
| ~ spl15_197
| ~ spl15_62
| spl15_96 ),
inference(avatar_split_clause,[],[f818,f810,f553,f1793,f190]) ).
fof(f818,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ spl15_62
| spl15_96 ),
inference(resolution,[],[f812,f554]) ).
fof(f812,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| spl15_96 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f1786,plain,
( spl15_196
| ~ spl15_179
| ~ spl15_184
| ~ spl15_195 ),
inference(avatar_split_clause,[],[f1781,f1776,f1659,f1611,f1783]) ).
fof(f1781,plain,
( sK4 = k6_relset_1(sK13,sK1,k4_relat_1(sK4))
| ~ spl15_179
| ~ spl15_184
| ~ spl15_195 ),
inference(forward_demodulation,[],[f1780,f1661]) ).
fof(f1779,plain,
( spl15_195
| ~ spl15_57
| ~ spl15_67 ),
inference(avatar_split_clause,[],[f606,f602,f510,f1776]) ).
fof(f606,plain,
( sK4 = k6_relset_1(sK0,sK1,k6_relset_1(sK0,sK1,sK4))
| ~ spl15_57
| ~ spl15_67 ),
inference(resolution,[],[f604,f511]) ).
fof(f1756,plain,
( spl15_194
| ~ spl15_184
| ~ spl15_192 ),
inference(avatar_split_clause,[],[f1747,f1743,f1659,f1753]) ).
fof(f1747,plain,
( k6_relset_2(sK1,sK13,sK4) = k5_relset_2(sK13,sK4)
| ~ spl15_184
| ~ spl15_192 ),
inference(forward_demodulation,[],[f1745,f1661]) ).
fof(f1751,plain,
( spl15_193
| ~ spl15_184
| ~ spl15_191 ),
inference(avatar_split_clause,[],[f1741,f1738,f1659,f1749]) ).
fof(f1741,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(sK13,sK1))
| ~ r2_hidden(X0,sK4) )
| ~ spl15_184
| ~ spl15_191 ),
inference(forward_demodulation,[],[f1739,f1661]) ).
fof(f1746,plain,
( spl15_192
| ~ spl15_3
| ~ spl15_133 ),
inference(avatar_split_clause,[],[f1105,f1087,f200,f1743]) ).
fof(f1740,plain,
( spl15_191
| ~ spl15_3
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1098,f1079,f200,f1738]) ).
fof(f1098,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK4)
| m1_subset_1(X0,k2_zfmisc_1(sK0,sK1)) )
| ~ spl15_3
| ~ spl15_131 ),
inference(resolution,[],[f1080,f202]) ).
fof(f1736,plain,
( spl15_190
| ~ spl15_76
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f987,f968,f646,f1734]) ).
fof(f1734,plain,
( spl15_190
<=> ! [X0] :
( m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_190])]) ).
fof(f987,plain,
( ! [X0] :
( m1_subset_1(sK3,k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK1),X0) )
| ~ spl15_76
| ~ spl15_119 ),
inference(resolution,[],[f969,f648]) ).
fof(f1731,plain,
( spl15_189
| ~ spl15_74
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f986,f968,f634,f1729]) ).
fof(f1729,plain,
( spl15_189
<=> ! [X0] :
( m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_189])]) ).
fof(f986,plain,
( ! [X0] :
( m1_subset_1(sK2,k1_zfmisc_1(X0))
| ~ m1_eqrel_1(k1_zfmisc_1(sK0),X0) )
| ~ spl15_74
| ~ spl15_119 ),
inference(resolution,[],[f969,f636]) ).
fof(f1726,plain,
( spl15_188
| ~ spl15_69
| ~ spl15_109 ),
inference(avatar_split_clause,[],[f1640,f892,f613,f1723]) ).
fof(f1723,plain,
( spl15_188
<=> k4_relat_1(sK0) = k4_relat_1(k4_relat_1(k4_relat_1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_188])]) ).
fof(f1640,plain,
( k4_relat_1(sK0) = k4_relat_1(k4_relat_1(k4_relat_1(sK0)))
| ~ spl15_69
| ~ spl15_109 ),
inference(resolution,[],[f614,f893]) ).
fof(f614,plain,
( v1_xboole_0(sK0)
| ~ spl15_69 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f1716,plain,
( spl15_187
| ~ spl15_84
| ~ spl15_145 ),
inference(avatar_split_clause,[],[f1653,f1209,f690,f1713]) ).
fof(f1690,plain,
( spl15_186
| ~ spl15_69
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f1641,f852,f613,f1688]) ).
fof(f1688,plain,
( spl15_186
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k4_relat_1(sK0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_186])]) ).
fof(f1641,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k4_relat_1(sK0) = X0 )
| ~ spl15_69
| ~ spl15_103 ),
inference(resolution,[],[f614,f853]) ).
fof(f1685,plain,
( spl15_185
| ~ spl15_69
| ~ spl15_87 ),
inference(avatar_split_clause,[],[f1642,f748,f613,f1682]) ).
fof(f1682,plain,
( spl15_185
<=> sK13 = k4_relat_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_185])]) ).
fof(f1642,plain,
( sK13 = k4_relat_1(sK0)
| ~ spl15_69
| ~ spl15_87 ),
inference(resolution,[],[f614,f749]) ).
fof(f1662,plain,
( spl15_184
| ~ spl15_69
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f1643,f690,f613,f1659]) ).
fof(f1643,plain,
( sK0 = sK13
| ~ spl15_69
| ~ spl15_84 ),
inference(resolution,[],[f614,f691]) ).
fof(f1649,plain,
( spl15_145
| ~ spl15_68
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f1648,f756,f610,f1209]) ).
fof(f610,plain,
( spl15_68
<=> ! [X0] : ~ r2_hidden(X0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).
fof(f1648,plain,
( v1_xboole_0(sK2)
| ~ spl15_68
| ~ spl15_89 ),
inference(resolution,[],[f611,f757]) ).
fof(f611,plain,
( ! [X0] : ~ r2_hidden(X0,sK2)
| ~ spl15_68 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f1639,plain,
( spl15_183
| spl15_69
| ~ spl15_44
| ~ spl15_144 ),
inference(avatar_split_clause,[],[f1292,f1205,f410,f613,f1636]) ).
fof(f1292,plain,
( v1_xboole_0(sK0)
| r2_hidden(sK7(sK2),sK0)
| ~ spl15_44
| ~ spl15_144 ),
inference(resolution,[],[f1207,f411]) ).
fof(f1627,plain,
( spl15_182
| ~ spl15_76
| ~ spl15_113 ),
inference(avatar_split_clause,[],[f949,f908,f646,f1625]) ).
fof(f949,plain,
( ! [X0] :
( m1_subset_1(sK3,X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) )
| ~ spl15_76
| ~ spl15_113 ),
inference(resolution,[],[f909,f648]) ).
fof(f1623,plain,
( spl15_181
| ~ spl15_74
| ~ spl15_113 ),
inference(avatar_split_clause,[],[f948,f908,f634,f1621]) ).
fof(f948,plain,
( ! [X0] :
( m1_subset_1(sK2,X0)
| ~ r1_tarski(k1_zfmisc_1(sK0),X0) )
| ~ spl15_74
| ~ spl15_113 ),
inference(resolution,[],[f909,f636]) ).
fof(f1619,plain,
( ~ spl15_180
| ~ spl15_40
| spl15_96 ),
inference(avatar_split_clause,[],[f819,f810,f370,f1616]) ).
fof(f819,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),sK1)
| ~ spl15_40
| spl15_96 ),
inference(resolution,[],[f812,f371]) ).
fof(f1614,plain,
( spl15_179
| ~ spl15_55
| ~ spl15_67 ),
inference(avatar_split_clause,[],[f607,f602,f494,f1611]) ).
fof(f1591,plain,
( ~ spl15_11
| ~ spl15_77 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1584,plain,
( $false
| ~ spl15_11
| ~ spl15_77 ),
inference(resolution,[],[f652,f241]) ).
fof(f652,plain,
( v1_xboole_0(k1_zfmisc_1(sK1))
| ~ spl15_77 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f1583,plain,
( spl15_178
| ~ spl15_76
| ~ spl15_104 ),
inference(avatar_split_clause,[],[f877,f856,f646,f1581]) ).
fof(f877,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(sK1),X0) )
| ~ spl15_76
| ~ spl15_104 ),
inference(resolution,[],[f857,f648]) ).
fof(f1571,plain,
( ~ spl15_11
| ~ spl15_75 ),
inference(avatar_contradiction_clause,[],[f1564]) ).
fof(f1564,plain,
( $false
| ~ spl15_11
| ~ spl15_75 ),
inference(resolution,[],[f640,f241]) ).
fof(f640,plain,
( v1_xboole_0(k1_zfmisc_1(sK0))
| ~ spl15_75 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl15_75
<=> v1_xboole_0(k1_zfmisc_1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).
fof(f1563,plain,
( spl15_177
| ~ spl15_74
| ~ spl15_104 ),
inference(avatar_split_clause,[],[f876,f856,f634,f1561]) ).
fof(f876,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(k1_zfmisc_1(sK0),X0) )
| ~ spl15_74
| ~ spl15_104 ),
inference(resolution,[],[f857,f636]) ).
fof(f1551,plain,
( spl15_176
| ~ spl15_62
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f581,f576,f553,f1549]) ).
fof(f576,plain,
( spl15_64
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).
fof(f581,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_62
| ~ spl15_64 ),
inference(resolution,[],[f577,f554]) ).
fof(f577,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_64 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f1539,plain,
( spl15_175
| ~ spl15_62
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f569,f564,f553,f1537]) ).
fof(f564,plain,
( spl15_63
<=> ! [X0,X3,X2,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).
fof(f569,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k7_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5)) = k8_relset_2(X0,X1,X2,k8_relset_2(X3,k2_zfmisc_1(X0,X1),X4,X5))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X3,k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X3)) )
| ~ spl15_62
| ~ spl15_63 ),
inference(resolution,[],[f565,f554]) ).
fof(f565,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_63 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f1524,plain,
( spl15_174
| ~ spl15_54
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f582,f576,f490,f1522]) ).
fof(f582,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
| ~ spl15_54
| ~ spl15_64 ),
inference(resolution,[],[f577,f491]) ).
fof(f1512,plain,
( spl15_173
| ~ spl15_60
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f561,f553,f534,f1510]) ).
fof(f534,plain,
( spl15_60
<=> ! [X0,X3,X2,X1] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
fof(f561,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k4_relset_2(X2,X3,k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X4,X0),X5) = k9_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,k1_zfmisc_1(X3)),X4,X0),X5) )
| ~ spl15_60
| ~ spl15_62 ),
inference(resolution,[],[f554,f535]) ).
fof(f535,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
| k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) )
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f1499,plain,
( spl15_172
| ~ spl15_13
| ~ spl15_65 ),
inference(avatar_split_clause,[],[f597,f590,f248,f1497]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1] :
( r1_tarski(X0,k8_relset_2(X1,X2,k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),X3))
| ~ m2_relset_1(X3,X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X3)),k1_zfmisc_1(X1)) )
| ~ spl15_13
| ~ spl15_65 ),
inference(resolution,[],[f591,f249]) ).
fof(f1475,plain,
( spl15_171
| ~ spl15_37
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f583,f576,f358,f1473]) ).
fof(f583,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK5(k2_zfmisc_1(X0,X1))),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_37
| ~ spl15_64 ),
inference(resolution,[],[f577,f359]) ).
fof(f1471,plain,
( spl15_170
| ~ spl15_58
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f559,f553,f518,f1469]) ).
fof(f518,plain,
( spl15_58
<=> ! [X2,X0,X1] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
fof(f559,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| k6_relset_2(X3,X2,k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) = k5_relset_2(X2,k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) )
| ~ spl15_58
| ~ spl15_62 ),
inference(resolution,[],[f554,f519]) ).
fof(f519,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
| k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) )
| ~ spl15_58 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f1458,plain,
( spl15_169
| ~ spl15_54
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f570,f564,f490,f1456]) ).
fof(f570,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3)) = k8_relset_2(X0,X1,X2,k8_setfam_1(k2_zfmisc_1(X0,X1),X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
| ~ spl15_54
| ~ spl15_63 ),
inference(resolution,[],[f565,f491]) ).
fof(f1442,plain,
( spl15_168
| ~ spl15_17
| ~ spl15_58
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f588,f576,f518,f264,f1440]) ).
fof(f588,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_17
| ~ spl15_58
| ~ spl15_64 ),
inference(forward_demodulation,[],[f585,f526]) ).
fof(f526,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))) = k5_relset_2(X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X1,X0))))
| ~ spl15_17
| ~ spl15_58 ),
inference(resolution,[],[f519,f265]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_17
| ~ spl15_64 ),
inference(resolution,[],[f577,f265]) ).
fof(f1420,plain,
( spl15_167
| ~ spl15_40
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f580,f576,f370,f1418]) ).
fof(f580,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl15_40
| ~ spl15_64 ),
inference(resolution,[],[f577,f371]) ).
fof(f1416,plain,
( spl15_166
| ~ spl15_54
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f543,f534,f490,f1414]) ).
fof(f543,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3) = k9_relat_1(k8_setfam_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)),X2),X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))) )
| ~ spl15_54
| ~ spl15_60 ),
inference(resolution,[],[f535,f491]) ).
fof(f1402,plain,
( spl15_165
| ~ spl15_51
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f579,f576,f464,f1400]) ).
fof(f579,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_64 ),
inference(resolution,[],[f577,f465]) ).
fof(f1386,plain,
( spl15_164
| ~ spl15_37
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f571,f564,f358,f1384]) ).
fof(f571,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,X2,sK5(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_37
| ~ spl15_63 ),
inference(resolution,[],[f565,f359]) ).
fof(f1361,plain,
( spl15_162
| spl15_163
| ~ spl15_73
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f795,f756,f630,f1358,f1354]) ).
fof(f630,plain,
( spl15_73
<=> ! [X0] :
( m1_subset_1(X0,sK1)
| ~ r2_hidden(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).
fof(f795,plain,
( v1_xboole_0(sK3)
| m1_subset_1(sK7(sK3),sK1)
| ~ spl15_73
| ~ spl15_89 ),
inference(resolution,[],[f757,f631]) ).
fof(f631,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3)
| m1_subset_1(X0,sK1) )
| ~ spl15_73 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f1352,plain,
( spl15_161
| ~ spl15_17
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f573,f564,f264,f1350]) ).
fof(f573,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k8_relset_2(X0,X1,X2,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_17
| ~ spl15_63 ),
inference(resolution,[],[f565,f265]) ).
fof(f1348,plain,
( spl15_160
| ~ spl15_54
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f523,f518,f490,f1346]) ).
fof(f523,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2)) = k5_relset_2(X1,k8_setfam_1(k2_zfmisc_1(X1,X0),X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X0)))) )
| ~ spl15_54
| ~ spl15_58 ),
inference(resolution,[],[f519,f491]) ).
fof(f1336,plain,
( spl15_159
| ~ spl15_37
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f544,f534,f358,f1334]) ).
fof(f544,plain,
( ! [X2,X0,X1] :
( k4_relset_2(X0,X1,sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK5(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| v1_xboole_0(k2_zfmisc_1(X0,k1_zfmisc_1(X1))) )
| ~ spl15_37
| ~ spl15_60 ),
inference(resolution,[],[f535,f359]) ).
fof(f1314,plain,
( spl15_158
| ~ spl15_26
| ~ spl15_42
| ~ spl15_58
| ~ spl15_64 ),
inference(avatar_split_clause,[],[f587,f576,f518,f390,f303,f1312]) ).
fof(f587,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k5_relset_2(X0,sK13),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_58
| ~ spl15_64 ),
inference(forward_demodulation,[],[f586,f527]) ).
fof(f527,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK13) = k5_relset_2(X1,sK13)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_58 ),
inference(forward_demodulation,[],[f525,f391]) ).
fof(f525,plain,
( ! [X0,X1] : k6_relset_2(X0,X1,sK8(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK8(k2_zfmisc_1(X1,X0)))
| ~ spl15_26
| ~ spl15_58 ),
inference(resolution,[],[f519,f304]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK13),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_64 ),
inference(forward_demodulation,[],[f584,f391]) ).
fof(f584,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK8(k2_zfmisc_1(X0,X1))) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,sK8(k2_zfmisc_1(X0,X1))),k3_pua2mss1(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_64 ),
inference(resolution,[],[f577,f304]) ).
fof(f1310,plain,
( spl15_157
| ~ spl15_44
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f562,f553,f410,f1308]) ).
fof(f562,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X2))
| r2_hidden(k8_relset_2(X1,X2,X3,X0),k1_zfmisc_1(X2)) )
| ~ spl15_44
| ~ spl15_62 ),
inference(resolution,[],[f554,f411]) ).
fof(f1282,plain,
( spl15_156
| ~ spl15_40
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f568,f564,f370,f1280]) ).
fof(f568,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1)) )
| ~ spl15_40
| ~ spl15_63 ),
inference(resolution,[],[f565,f371]) ).
fof(f1278,plain,
( spl15_155
| ~ spl15_46
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f560,f553,f418,f1276]) ).
fof(f418,plain,
( spl15_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,[spl15_46])]) ).
fof(f560,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k2_zfmisc_1(X2,X3))))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| v1_relat_1(k8_relset_2(X1,k2_zfmisc_1(X2,X3),X4,X0)) )
| ~ spl15_46
| ~ spl15_62 ),
inference(resolution,[],[f554,f419]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl15_46 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f1274,plain,
( spl15_154
| ~ spl15_52
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f556,f553,f468,f1272]) ).
fof(f556,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(X1))
| m1_subset_1(X4,X2)
| ~ r2_hidden(X4,k8_relset_2(X1,X2,X3,X0)) )
| ~ spl15_52
| ~ spl15_62 ),
inference(resolution,[],[f554,f469]) ).
fof(f1270,plain,
( spl15_153
| ~ spl15_44
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f551,f538,f410,f1268]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X2)))
| r2_hidden(k4_relset_2(X1,X2,X0,X3),k1_zfmisc_1(k1_zfmisc_1(X2))) )
| ~ spl15_44
| ~ spl15_61 ),
inference(resolution,[],[f539,f411]) ).
fof(f1256,plain,
( spl15_152
| ~ spl15_51
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f567,f564,f464,f1254]) ).
fof(f567,plain,
( ! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl15_51
| ~ spl15_63 ),
inference(resolution,[],[f565,f465]) ).
fof(f1252,plain,
( spl15_151
| ~ spl15_50
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f557,f553,f452,f1250]) ).
fof(f557,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(X1))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X4,k8_relset_2(X1,X2,X3,X0)) )
| ~ spl15_50
| ~ spl15_62 ),
inference(resolution,[],[f554,f453]) ).
fof(f1248,plain,
( spl15_150
| ~ spl15_17
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f546,f534,f264,f1246]) ).
fof(f546,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2) = k9_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))),X2)
| ~ spl15_17
| ~ spl15_60 ),
inference(resolution,[],[f535,f265]) ).
fof(f1234,plain,
( spl15_149
| ~ spl15_52
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f548,f538,f468,f1232]) ).
fof(f548,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
| m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X3,k4_relset_2(X1,X2,X0,X4)) )
| ~ spl15_52
| ~ spl15_61 ),
inference(resolution,[],[f539,f469]) ).
fof(f1230,plain,
( spl15_148
| ~ spl15_37
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f524,f518,f358,f1228]) ).
fof(f524,plain,
( ! [X0,X1] :
( k6_relset_2(X0,X1,sK5(k2_zfmisc_1(X1,X0))) = k5_relset_2(X1,sK5(k2_zfmisc_1(X1,X0)))
| v1_xboole_0(k2_zfmisc_1(X1,X0)) )
| ~ spl15_37
| ~ spl15_58 ),
inference(resolution,[],[f519,f359]) ).
fof(f1222,plain,
( spl15_147
| ~ spl15_39
| ~ spl15_62 ),
inference(avatar_split_clause,[],[f558,f553,f366,f1220]) ).
fof(f558,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| r1_tarski(k8_relset_2(X1,X2,X3,X0),X2) )
| ~ spl15_39
| ~ spl15_62 ),
inference(resolution,[],[f554,f367]) ).
fof(f1216,plain,
( spl15_146
| ~ spl15_17
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f526,f518,f264,f1214]) ).
fof(f1212,plain,
( spl15_144
| spl15_145
| ~ spl15_72
| ~ spl15_89 ),
inference(avatar_split_clause,[],[f794,f756,f626,f1209,f1205]) ).
fof(f626,plain,
( spl15_72
<=> ! [X0] :
( m1_subset_1(X0,sK0)
| ~ r2_hidden(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).
fof(f794,plain,
( v1_xboole_0(sK2)
| m1_subset_1(sK7(sK2),sK0)
| ~ spl15_72
| ~ spl15_89 ),
inference(resolution,[],[f757,f627]) ).
fof(f627,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK2)
| m1_subset_1(X0,sK0) )
| ~ spl15_72 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f1175,plain,
( spl15_143
| ~ spl15_26
| ~ spl15_42
| ~ spl15_63 ),
inference(avatar_split_clause,[],[f574,f564,f390,f303,f1173]) ).
fof(f574,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK13) = k8_relset_2(X0,X1,X2,sK13)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_63 ),
inference(forward_demodulation,[],[f572,f391]) ).
fof(f572,plain,
( ! [X2,X0,X1] :
( k7_relset_2(X0,X1,X2,sK8(k2_zfmisc_1(X0,X1))) = k8_relset_2(X0,X1,X2,sK8(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_63 ),
inference(resolution,[],[f565,f304]) ).
fof(f1171,plain,
( spl15_142
| ~ spl15_39
| ~ spl15_61 ),
inference(avatar_split_clause,[],[f550,f538,f366,f1169]) ).
fof(f550,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,k1_zfmisc_1(X2))))
| r1_tarski(k4_relset_2(X1,X2,X0,X3),k1_zfmisc_1(X2)) )
| ~ spl15_39
| ~ spl15_61 ),
inference(resolution,[],[f539,f367]) ).
fof(f1167,plain,
( spl15_141
| ~ spl15_40
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f542,f534,f370,f1165]) ).
fof(f542,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,k1_zfmisc_1(X1))) )
| ~ spl15_40
| ~ spl15_60 ),
inference(resolution,[],[f535,f371]) ).
fof(f1163,plain,
( spl15_140
| ~ spl15_47
| ~ spl15_59 ),
inference(avatar_split_clause,[],[f532,f529,f422,f1161]) ).
fof(f422,plain,
( spl15_47
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).
fof(f532,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| m1_relset_1(k6_relset_2(X2,X1,X0),k1_zfmisc_1(X1),k1_zfmisc_1(X2)) )
| ~ spl15_47
| ~ spl15_59 ),
inference(resolution,[],[f530,f423]) ).
fof(f423,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl15_47 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f1159,plain,
( spl15_139
| ~ spl15_44
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f474,f464,f410,f1157]) ).
fof(f474,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))) )
| ~ spl15_44
| ~ spl15_51 ),
inference(resolution,[],[f465,f411]) ).
fof(f1143,plain,
( spl15_138
| ~ spl15_51
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f541,f534,f464,f1141]) ).
fof(f541,plain,
( ! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m2_relset_1(X2,X0,k1_zfmisc_1(X1)) )
| ~ spl15_51
| ~ spl15_60 ),
inference(resolution,[],[f535,f465]) ).
fof(f1139,plain,
( spl15_137
| ~ spl15_44
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f505,f490,f410,f1137]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(k8_setfam_1(X1,X0),k1_zfmisc_1(X1)) )
| ~ spl15_44
| ~ spl15_54 ),
inference(resolution,[],[f491,f411]) ).
fof(f1120,plain,
( spl15_136
| ~ spl15_40
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f522,f518,f370,f1118]) ).
fof(f522,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ r1_tarski(X2,k2_zfmisc_1(X1,X0)) )
| ~ spl15_40
| ~ spl15_58 ),
inference(resolution,[],[f519,f371]) ).
fof(f1116,plain,
( spl15_135
| ~ spl15_46
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f504,f490,f418,f1114]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| v1_relat_1(k8_setfam_1(k2_zfmisc_1(X1,X2),X0)) )
| ~ spl15_46
| ~ spl15_54 ),
inference(resolution,[],[f491,f419]) ).
fof(f1112,plain,
( spl15_134
| ~ spl15_52
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f501,f490,f468,f1110]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,k8_setfam_1(X1,X0)) )
| ~ spl15_52
| ~ spl15_54 ),
inference(resolution,[],[f491,f469]) ).
fof(f1089,plain,
( spl15_133
| ~ spl15_51
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f521,f518,f464,f1087]) ).
fof(f521,plain,
( ! [X2,X0,X1] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m2_relset_1(X2,X1,X0) )
| ~ spl15_51
| ~ spl15_58 ),
inference(resolution,[],[f519,f465]) ).
fof(f1085,plain,
( spl15_132
| ~ spl15_50
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f502,f490,f452,f1083]) ).
fof(f502,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,k8_setfam_1(X1,X0)) )
| ~ spl15_50
| ~ spl15_54 ),
inference(resolution,[],[f491,f453]) ).
fof(f1081,plain,
( spl15_131
| ~ spl15_51
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f482,f468,f464,f1079]) ).
fof(f482,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl15_51
| ~ spl15_52 ),
inference(resolution,[],[f469,f465]) ).
fof(f1077,plain,
( spl15_130
| ~ spl15_43
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f436,f410,f406,f1075]) ).
fof(f436,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| r2_hidden(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0) )
| ~ spl15_43
| ~ spl15_44 ),
inference(resolution,[],[f411,f407]) ).
fof(f1065,plain,
( ~ spl15_128
| spl15_129
| ~ spl15_23
| ~ spl15_116 ),
inference(avatar_split_clause,[],[f1009,f955,f291,f1062,f1058]) ).
fof(f1009,plain,
( v1_xboole_0(sK4)
| ~ v1_xboole_0(k4_relat_1(sK4))
| ~ spl15_23
| ~ spl15_116 ),
inference(superposition,[],[f292,f957]) ).
fof(f1030,plain,
( spl15_127
| ~ spl15_34
| ~ spl15_55
| ~ spl15_57 ),
inference(avatar_split_clause,[],[f516,f510,f494,f343,f1028]) ).
fof(f343,plain,
( spl15_34
<=> ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f516,plain,
( ! [X0,X1] : sK11(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK11(X0,X1)))
| ~ spl15_34
| ~ spl15_55
| ~ spl15_57 ),
inference(forward_demodulation,[],[f514,f507]) ).
fof(f507,plain,
( ! [X0,X1] : k4_relat_1(sK11(X0,X1)) = k6_relset_1(X0,X1,sK11(X0,X1))
| ~ spl15_34
| ~ spl15_55 ),
inference(resolution,[],[f495,f344]) ).
fof(f344,plain,
( ! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1)
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f514,plain,
( ! [X0,X1] : sK11(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK11(X0,X1)))
| ~ spl15_34
| ~ spl15_57 ),
inference(resolution,[],[f511,f344]) ).
fof(f1026,plain,
( spl15_126
| ~ spl15_32
| ~ spl15_55
| ~ spl15_57 ),
inference(avatar_split_clause,[],[f515,f510,f494,f335,f1024]) ).
fof(f335,plain,
( spl15_32
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f515,plain,
( ! [X0,X1] : sK9(X0,X1) = k6_relset_1(X0,X1,k4_relat_1(sK9(X0,X1)))
| ~ spl15_32
| ~ spl15_55
| ~ spl15_57 ),
inference(forward_demodulation,[],[f513,f506]) ).
fof(f506,plain,
( ! [X0,X1] : k6_relset_1(X0,X1,sK9(X0,X1)) = k4_relat_1(sK9(X0,X1))
| ~ spl15_32
| ~ spl15_55 ),
inference(resolution,[],[f495,f336]) ).
fof(f336,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f513,plain,
( ! [X0,X1] : sK9(X0,X1) = k6_relset_1(X0,X1,k6_relset_1(X0,X1,sK9(X0,X1)))
| ~ spl15_32
| ~ spl15_57 ),
inference(resolution,[],[f511,f336]) ).
fof(f1022,plain,
( spl15_125
| ~ spl15_47
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f508,f498,f422,f1020]) ).
fof(f508,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X0,X1,X2)
| m1_relset_1(k6_relset_1(X1,X2,X0),X2,X1) )
| ~ spl15_47
| ~ spl15_56 ),
inference(resolution,[],[f499,f423]) ).
fof(f1018,plain,
( spl15_124
| ~ spl15_34
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f507,f494,f343,f1016]) ).
fof(f1014,plain,
( spl15_123
| ~ spl15_32
| ~ spl15_55 ),
inference(avatar_split_clause,[],[f506,f494,f335,f1012]) ).
fof(f1007,plain,
( spl15_122
| ~ spl15_50
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f472,f464,f452,f1005]) ).
fof(f472,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl15_50
| ~ spl15_51 ),
inference(resolution,[],[f465,f453]) ).
fof(f1003,plain,
( spl15_121
| ~ spl15_28
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f377,f362,f318,f1001]) ).
fof(f377,plain,
( ! [X0,X1] :
( k5_relset_2(X0,X1) = k4_relat_1(k4_relat_1(k5_relset_2(X0,X1)))
| ~ v1_relat_1(X1) )
| ~ spl15_28
| ~ spl15_38 ),
inference(resolution,[],[f363,f319]) ).
fof(f974,plain,
( spl15_120
| ~ spl15_39
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f503,f490,f366,f972]) ).
fof(f503,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| r1_tarski(k8_setfam_1(X1,X0),X1) )
| ~ spl15_39
| ~ spl15_54 ),
inference(resolution,[],[f491,f367]) ).
fof(f970,plain,
( spl15_119
| ~ spl15_43
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f481,f468,f406,f968]) ).
fof(f481,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,X2)
| ~ m1_eqrel_1(X2,X1) )
| ~ spl15_43
| ~ spl15_52 ),
inference(resolution,[],[f469,f407]) ).
fof(f966,plain,
( spl15_118
| ~ spl15_37
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f439,f410,f358,f964]) ).
fof(f439,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_44 ),
inference(resolution,[],[f411,f359]) ).
fof(f962,plain,
( spl15_117
| ~ spl15_40
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f435,f410,f370,f960]) ).
fof(f435,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl15_40
| ~ spl15_44 ),
inference(resolution,[],[f411,f371]) ).
fof(f958,plain,
( spl15_116
| ~ spl15_38
| ~ spl15_102 ),
inference(avatar_split_clause,[],[f880,f839,f362,f955]) ).
fof(f880,plain,
( sK4 = k4_relat_1(k4_relat_1(sK4))
| ~ spl15_38
| ~ spl15_102 ),
inference(resolution,[],[f841,f363]) ).
fof(f918,plain,
( spl15_115
| ~ spl15_26
| ~ spl15_42
| ~ spl15_60 ),
inference(avatar_split_clause,[],[f547,f534,f390,f303,f916]) ).
fof(f547,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK13,X2) = k9_relat_1(sK13,X2)
| ~ spl15_26
| ~ spl15_42
| ~ spl15_60 ),
inference(forward_demodulation,[],[f545,f391]) ).
fof(f545,plain,
( ! [X2,X0,X1] : k4_relset_2(X0,X1,sK8(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2) = k9_relat_1(sK8(k2_zfmisc_1(X0,k1_zfmisc_1(X1))),X2)
| ~ spl15_26
| ~ spl15_60 ),
inference(resolution,[],[f535,f304]) ).
fof(f914,plain,
( spl15_114
| ~ spl15_37
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f485,f468,f358,f912]) ).
fof(f485,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK5(X1))
| v1_xboole_0(X1) )
| ~ spl15_37
| ~ spl15_52 ),
inference(resolution,[],[f469,f359]) ).
fof(f910,plain,
( spl15_113
| ~ spl15_40
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f480,f468,f370,f908]) ).
fof(f480,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl15_40
| ~ spl15_52 ),
inference(resolution,[],[f469,f371]) ).
fof(f906,plain,
( spl15_112
| ~ spl15_39
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f473,f464,f366,f904]) ).
fof(f473,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_39
| ~ spl15_51 ),
inference(resolution,[],[f465,f367]) ).
fof(f902,plain,
( spl15_111
| ~ spl15_37
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f444,f418,f358,f900]) ).
fof(f444,plain,
( ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl15_37
| ~ spl15_46 ),
inference(resolution,[],[f419,f359]) ).
fof(f898,plain,
( spl15_110
| ~ spl15_19
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f383,f362,f272,f896]) ).
fof(f383,plain,
( ! [X0,X1] : sK11(X0,X1) = k4_relat_1(k4_relat_1(sK11(X0,X1)))
| ~ spl15_19
| ~ spl15_38 ),
inference(resolution,[],[f363,f273]) ).
fof(f894,plain,
( spl15_109
| ~ spl15_24
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f381,f362,f295,f892]) ).
fof(f381,plain,
( ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl15_24
| ~ spl15_38 ),
inference(resolution,[],[f363,f296]) ).
fof(f890,plain,
( spl15_108
| ~ spl15_25
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f380,f362,f299,f888]) ).
fof(f380,plain,
( ! [X0] :
( k4_relat_1(X0) = k4_relat_1(k4_relat_1(k4_relat_1(X0)))
| ~ v1_relat_1(X0) )
| ~ spl15_25
| ~ spl15_38 ),
inference(resolution,[],[f363,f300]) ).
fof(f886,plain,
( spl15_107
| ~ spl15_18
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f378,f362,f268,f884]) ).
fof(f378,plain,
( ! [X0,X1] : k2_zfmisc_1(X0,X1) = k4_relat_1(k4_relat_1(k2_zfmisc_1(X0,X1)))
| ~ spl15_18
| ~ spl15_38 ),
inference(resolution,[],[f363,f269]) ).
fof(f866,plain,
( spl15_106
| ~ spl15_26
| ~ spl15_42
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f527,f518,f390,f303,f864]) ).
fof(f862,plain,
( spl15_105
| ~ spl15_17
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f487,f468,f264,f860]) ).
fof(f487,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1))) )
| ~ spl15_17
| ~ spl15_52 ),
inference(resolution,[],[f469,f265]) ).
fof(f858,plain,
( spl15_104
| ~ spl15_40
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f455,f452,f370,f856]) ).
fof(f455,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl15_40
| ~ spl15_50 ),
inference(resolution,[],[f453,f371]) ).
fof(f854,plain,
( spl15_103
| ~ spl15_23
| ~ spl15_41 ),
inference(avatar_split_clause,[],[f401,f374,f291,f852]) ).
fof(f401,plain,
( ! [X0,X1] :
( k4_relat_1(X1) = X0
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) )
| ~ spl15_23
| ~ spl15_41 ),
inference(resolution,[],[f375,f292]) ).
fof(f842,plain,
( spl15_102
| ~ spl15_3
| ~ spl15_95 ),
inference(avatar_split_clause,[],[f805,f781,f200,f839]) ).
fof(f805,plain,
( v1_relat_1(sK4)
| ~ spl15_3
| ~ spl15_95 ),
inference(resolution,[],[f782,f202]) ).
fof(f837,plain,
( spl15_101
| ~ spl15_17
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f461,f452,f264,f835]) ).
fof(f461,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(k1_zfmisc_1(X0))) )
| ~ spl15_17
| ~ spl15_50 ),
inference(resolution,[],[f453,f265]) ).
fof(f833,plain,
( spl15_100
| ~ spl15_40
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f443,f418,f370,f831]) ).
fof(f831,plain,
( spl15_100
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).
fof(f443,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl15_40
| ~ spl15_46 ),
inference(resolution,[],[f419,f371]) ).
fof(f829,plain,
( spl15_99
| ~ spl15_26
| ~ spl15_42
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f442,f410,f390,f303,f827]) ).
fof(f442,plain,
( ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_44 ),
inference(forward_demodulation,[],[f440,f391]) ).
fof(f440,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK8(X0),k1_zfmisc_1(X0)) )
| ~ spl15_26
| ~ spl15_44 ),
inference(resolution,[],[f411,f304]) ).
fof(f825,plain,
( spl15_98
| ~ spl15_39
| ~ spl15_43 ),
inference(avatar_split_clause,[],[f429,f406,f366,f823]) ).
fof(f823,plain,
( spl15_98
<=> ! [X0,X1] :
( ~ m1_eqrel_1(X0,X1)
| r1_tarski(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).
fof(f429,plain,
( ! [X0,X1] :
( ~ m1_eqrel_1(X0,X1)
| r1_tarski(X0,k1_zfmisc_1(X1)) )
| ~ spl15_39
| ~ spl15_43 ),
inference(resolution,[],[f407,f367]) ).
fof(f821,plain,
( ~ spl15_13
| spl15_97 ),
inference(avatar_contradiction_clause,[],[f820]) ).
fof(f820,plain,
( $false
| ~ spl15_13
| spl15_97 ),
inference(resolution,[],[f816,f249]) ).
fof(f816,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| spl15_97 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl15_97
<=> r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).
fof(f817,plain,
( ~ spl15_1
| ~ spl15_96
| ~ spl15_3
| ~ spl15_97
| spl15_35
| ~ spl15_66 ),
inference(avatar_split_clause,[],[f598,f594,f349,f814,f200,f810,f190]) ).
fof(f349,plain,
( spl15_35
<=> r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f598,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| spl15_35
| ~ spl15_66 ),
inference(resolution,[],[f595,f351]) ).
fof(f351,plain,
( ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4)))
| spl15_35 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f783,plain,
( spl15_95
| ~ spl15_46
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f471,f464,f418,f781]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl15_46
| ~ spl15_51 ),
inference(resolution,[],[f465,f419]) ).
fof(f779,plain,
( spl15_94
| ~ spl15_34
| ~ spl15_48 ),
inference(avatar_split_clause,[],[f450,f426,f343,f777]) ).
fof(f450,plain,
( ! [X0,X1] : m2_relset_1(sK11(X0,X1),X0,X1)
| ~ spl15_34
| ~ spl15_48 ),
inference(resolution,[],[f427,f344]) ).
fof(f775,plain,
( spl15_93
| ~ spl15_32
| ~ spl15_48 ),
inference(avatar_split_clause,[],[f449,f426,f335,f773]) ).
fof(f449,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl15_32
| ~ spl15_48 ),
inference(resolution,[],[f427,f336]) ).
fof(f771,plain,
( spl15_92
| ~ spl15_33
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f448,f422,f339,f769]) ).
fof(f448,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl15_33
| ~ spl15_47 ),
inference(resolution,[],[f423,f340]) ).
fof(f767,plain,
( spl15_91
| ~ spl15_17
| ~ spl15_46 ),
inference(avatar_split_clause,[],[f446,f418,f264,f765]) ).
fof(f446,plain,
( ! [X0,X1] : v1_relat_1(sK7(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl15_17
| ~ spl15_46 ),
inference(resolution,[],[f419,f265]) ).
fof(f763,plain,
( ~ spl15_90
| ~ spl15_29
| ~ spl15_76 ),
inference(avatar_split_clause,[],[f655,f646,f322,f760]) ).
fof(f760,plain,
( spl15_90
<=> r2_hidden(k1_zfmisc_1(sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).
fof(f655,plain,
( ~ r2_hidden(k1_zfmisc_1(sK1),sK3)
| ~ spl15_29
| ~ spl15_76 ),
inference(resolution,[],[f648,f323]) ).
fof(f758,plain,
( spl15_89
| ~ spl15_17
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f441,f410,f264,f756]) ).
fof(f441,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK7(X0),X0) )
| ~ spl15_17
| ~ spl15_44 ),
inference(resolution,[],[f411,f265]) ).
fof(f754,plain,
( spl15_88
| ~ spl15_37
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f395,f366,f358,f752]) ).
fof(f395,plain,
( ! [X0] :
( r1_tarski(sK5(X0),X0)
| v1_xboole_0(X0) )
| ~ spl15_37
| ~ spl15_39 ),
inference(resolution,[],[f367,f359]) ).
fof(f750,plain,
( spl15_87
| ~ spl15_8
| ~ spl15_22
| ~ spl15_23 ),
inference(avatar_split_clause,[],[f316,f291,f287,f225,f748]) ).
fof(f287,plain,
( spl15_22
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f316,plain,
( ! [X0] :
( k4_relat_1(X0) = sK13
| ~ v1_xboole_0(X0) )
| ~ spl15_8
| ~ spl15_22
| ~ spl15_23 ),
inference(forward_demodulation,[],[f314,f311]) ).
fof(f311,plain,
( k1_xboole_0 = sK13
| ~ spl15_8
| ~ spl15_22 ),
inference(resolution,[],[f288,f227]) ).
fof(f288,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f314,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = k4_relat_1(X0) )
| ~ spl15_22
| ~ spl15_23 ),
inference(resolution,[],[f292,f288]) ).
fof(f714,plain,
( spl15_84
| ~ spl15_22
| ~ spl15_30 ),
inference(avatar_split_clause,[],[f706,f326,f287,f690]) ).
fof(f706,plain,
( ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) )
| ~ spl15_22
| ~ spl15_30 ),
inference(forward_demodulation,[],[f288,f328]) ).
fof(f705,plain,
( ~ spl15_4
| ~ spl15_85 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f700,plain,
( $false
| ~ spl15_4
| ~ spl15_85 ),
inference(resolution,[],[f695,f207]) ).
fof(f695,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl15_85 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f694,plain,
( spl15_85
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).
fof(f704,plain,
( ~ spl15_12
| ~ spl15_85 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl15_12
| ~ spl15_85 ),
inference(resolution,[],[f695,f245]) ).
fof(f245,plain,
( ! [X0] : v1_xboole_0(sK8(X0))
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl15_12
<=> ! [X0] : v1_xboole_0(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f703,plain,
( ~ spl15_8
| ~ spl15_85 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| ~ spl15_8
| ~ spl15_85 ),
inference(resolution,[],[f695,f227]) ).
fof(f699,plain,
( spl15_85
| spl15_86
| ~ spl15_26
| ~ spl15_42
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f462,f452,f390,f303,f697,f694]) ).
fof(f697,plain,
( spl15_86
<=> ! [X1] : ~ r2_hidden(X1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).
fof(f462,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK13)
| ~ v1_xboole_0(X0) )
| ~ spl15_26
| ~ spl15_42
| ~ spl15_50 ),
inference(forward_demodulation,[],[f460,f391]) ).
fof(f460,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK8(X0)) )
| ~ spl15_26
| ~ spl15_50 ),
inference(resolution,[],[f453,f304]) ).
fof(f692,plain,
( spl15_84
| ~ spl15_12
| ~ spl15_41
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f404,f390,f374,f244,f690]) ).
fof(f404,plain,
( ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) )
| ~ spl15_12
| ~ spl15_41
| ~ spl15_42 ),
inference(forward_demodulation,[],[f402,f391]) ).
fof(f402,plain,
( ! [X0,X1] :
( sK8(X1) = X0
| ~ v1_xboole_0(X0) )
| ~ spl15_12
| ~ spl15_41 ),
inference(resolution,[],[f375,f245]) ).
fof(f688,plain,
( spl15_83
| ~ spl15_17
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f397,f366,f264,f686]) ).
fof(f397,plain,
( ! [X0] : r1_tarski(sK7(k1_zfmisc_1(X0)),X0)
| ~ spl15_17
| ~ spl15_39 ),
inference(resolution,[],[f367,f265]) ).
fof(f684,plain,
( spl15_82
| ~ spl15_5
| ~ spl15_30
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f387,f362,f326,f210,f681]) ).
fof(f681,plain,
( spl15_82
<=> sK13 = k4_relat_1(k4_relat_1(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).
fof(f387,plain,
( sK13 = k4_relat_1(k4_relat_1(sK13))
| ~ spl15_5
| ~ spl15_30
| ~ spl15_38 ),
inference(forward_demodulation,[],[f379,f328]) ).
fof(f379,plain,
( k1_xboole_0 = k4_relat_1(k4_relat_1(k1_xboole_0))
| ~ spl15_5
| ~ spl15_38 ),
inference(resolution,[],[f363,f212]) ).
fof(f679,plain,
( spl15_81
| ~ spl15_10
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f386,f362,f235,f676]) ).
fof(f386,plain,
( sK14 = k4_relat_1(k4_relat_1(sK14))
| ~ spl15_10
| ~ spl15_38 ),
inference(resolution,[],[f363,f237]) ).
fof(f674,plain,
( spl15_80
| ~ spl15_7
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f384,f362,f220,f671]) ).
fof(f384,plain,
( sK12 = k4_relat_1(k4_relat_1(sK12))
| ~ spl15_7
| ~ spl15_38 ),
inference(resolution,[],[f363,f222]) ).
fof(f665,plain,
( spl15_79
| ~ spl15_26
| ~ spl15_39
| ~ spl15_42 ),
inference(avatar_split_clause,[],[f398,f390,f366,f303,f663]) ).
fof(f398,plain,
( ! [X0] : r1_tarski(sK13,X0)
| ~ spl15_26
| ~ spl15_39
| ~ spl15_42 ),
inference(forward_demodulation,[],[f396,f391]) ).
fof(f396,plain,
( ! [X0] : r1_tarski(sK8(X0),X0)
| ~ spl15_26
| ~ spl15_39 ),
inference(resolution,[],[f367,f304]) ).
fof(f661,plain,
( ~ spl15_78
| ~ spl15_29
| ~ spl15_74 ),
inference(avatar_split_clause,[],[f643,f634,f322,f658]) ).
fof(f658,plain,
( spl15_78
<=> r2_hidden(k1_zfmisc_1(sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).
fof(f643,plain,
( ~ r2_hidden(k1_zfmisc_1(sK0),sK2)
| ~ spl15_29
| ~ spl15_74 ),
inference(resolution,[],[f636,f323]) ).
fof(f653,plain,
( spl15_76
| spl15_77
| ~ spl15_2
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f438,f410,f195,f650,f646]) ).
fof(f438,plain,
( v1_xboole_0(k1_zfmisc_1(sK1))
| r2_hidden(sK3,k1_zfmisc_1(sK1))
| ~ spl15_2
| ~ spl15_44 ),
inference(resolution,[],[f411,f197]) ).
fof(f641,plain,
( spl15_74
| spl15_75
| ~ spl15_1
| ~ spl15_44 ),
inference(avatar_split_clause,[],[f437,f410,f190,f638,f634]) ).
fof(f437,plain,
( v1_xboole_0(k1_zfmisc_1(sK0))
| r2_hidden(sK2,k1_zfmisc_1(sK0))
| ~ spl15_1
| ~ spl15_44 ),
inference(resolution,[],[f411,f192]) ).
fof(f632,plain,
( spl15_73
| ~ spl15_2
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f484,f468,f195,f630]) ).
fof(f484,plain,
( ! [X0] :
( m1_subset_1(X0,sK1)
| ~ r2_hidden(X0,sK3) )
| ~ spl15_2
| ~ spl15_52 ),
inference(resolution,[],[f469,f197]) ).
fof(f628,plain,
( spl15_72
| ~ spl15_1
| ~ spl15_52 ),
inference(avatar_split_clause,[],[f483,f468,f190,f626]) ).
fof(f483,plain,
( ! [X0] :
( m1_subset_1(X0,sK0)
| ~ r2_hidden(X0,sK2) )
| ~ spl15_1
| ~ spl15_52 ),
inference(resolution,[],[f469,f192]) ).
fof(f624,plain,
( spl15_70
| ~ spl15_71
| ~ spl15_2
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f458,f452,f195,f621,f618]) ).
fof(f458,plain,
( ! [X0] :
( ~ v1_xboole_0(sK1)
| ~ r2_hidden(X0,sK3) )
| ~ spl15_2
| ~ spl15_50 ),
inference(resolution,[],[f453,f197]) ).
fof(f616,plain,
( spl15_68
| ~ spl15_69
| ~ spl15_1
| ~ spl15_50 ),
inference(avatar_split_clause,[],[f457,f452,f190,f613,f610]) ).
fof(f457,plain,
( ! [X0] :
( ~ v1_xboole_0(sK0)
| ~ r2_hidden(X0,sK2) )
| ~ spl15_1
| ~ spl15_50 ),
inference(resolution,[],[f453,f192]) ).
fof(f605,plain,
( spl15_67
| ~ spl15_3
| ~ spl15_47 ),
inference(avatar_split_clause,[],[f447,f422,f200,f602]) ).
fof(f447,plain,
( m1_relset_1(sK4,sK0,sK1)
| ~ spl15_3
| ~ spl15_47 ),
inference(resolution,[],[f423,f202]) ).
fof(f596,plain,
spl15_66,
inference(avatar_split_clause,[],[f167,f594]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f592,plain,
spl15_65,
inference(avatar_split_clause,[],[f166,f590]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f578,plain,
spl15_64,
inference(avatar_split_clause,[],[f168,f576]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ! [X3] :
( k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k7_relset_2(X0,X1,X2,X3) = k8_setfam_1(X1,k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relset_2) ).
fof(f566,plain,
spl15_63,
inference(avatar_split_clause,[],[f183,f564]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k7_relset_2(X0,X1,X2,X3) = k8_relset_2(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_relset_2) ).
fof(f555,plain,
spl15_62,
inference(avatar_split_clause,[],[f182,f553]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f540,plain,
spl15_61,
inference(avatar_split_clause,[],[f181,f538]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> m1_subset_1(k4_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relset_2) ).
fof(f536,plain,
spl15_60,
inference(avatar_split_clause,[],[f180,f534]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
fof(f531,plain,
spl15_59,
inference(avatar_split_clause,[],[f175,f529]) ).
fof(f175,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ),
inference(pure_predicate_removal,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& v1_funct_1(k6_relset_2(X0,X1,X2)) ) ),
inference(pure_predicate_removal,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& v1_funct_2(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& v1_funct_1(k6_relset_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(f520,plain,
spl15_58,
inference(avatar_split_clause,[],[f174,f518]) ).
fof(f174,plain,
! [X2,X0,X1] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_2) ).
fof(f512,plain,
spl15_57,
inference(avatar_split_clause,[],[f171,f510]) ).
fof(f171,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,k6_relset_1(X0,X1,X2)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
fof(f500,plain,
spl15_56,
inference(avatar_split_clause,[],[f170,f498]) ).
fof(f170,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f496,plain,
spl15_55,
inference(avatar_split_clause,[],[f169,f494]) ).
fof(f169,plain,
! [X2,X0,X1] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f492,plain,
spl15_54,
inference(avatar_split_clause,[],[f156,f490]) ).
fof(f156,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> m1_subset_1(k8_setfam_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_setfam_1) ).
fof(f479,plain,
( spl15_53
| ~ spl15_2
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f394,f366,f195,f476]) ).
fof(f476,plain,
( spl15_53
<=> r1_tarski(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f394,plain,
( r1_tarski(sK3,sK1)
| ~ spl15_2
| ~ spl15_39 ),
inference(resolution,[],[f367,f197]) ).
fof(f470,plain,
spl15_52,
inference(avatar_split_clause,[],[f176,f468]) ).
fof(f176,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,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(f466,plain,
spl15_51,
inference(avatar_split_clause,[],[f172,f464]) ).
fof(f172,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,[],[f87]) ).
fof(f87,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,[],[f53]) ).
fof(f53,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(f454,plain,
spl15_50,
inference(avatar_split_clause,[],[f179,f452]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,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(f434,plain,
( spl15_49
| ~ spl15_1
| ~ spl15_39 ),
inference(avatar_split_clause,[],[f393,f366,f190,f431]) ).
fof(f431,plain,
( spl15_49
<=> r1_tarski(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f393,plain,
( r1_tarski(sK2,sK0)
| ~ spl15_1
| ~ spl15_39 ),
inference(resolution,[],[f367,f192]) ).
fof(f428,plain,
spl15_48,
inference(avatar_split_clause,[],[f178,f426]) ).
fof(f178,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,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,[],[f48]) ).
fof(f48,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(f424,plain,
spl15_47,
inference(avatar_split_clause,[],[f177,f422]) ).
fof(f177,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f420,plain,
spl15_46,
inference(avatar_split_clause,[],[f173,f418]) ).
fof(f173,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,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(f416,plain,
spl15_45,
inference(avatar_split_clause,[],[f157,f414]) ).
fof(f157,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,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(f412,plain,
spl15_44,
inference(avatar_split_clause,[],[f155,f410]) ).
fof(f155,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,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(f408,plain,
spl15_43,
inference(avatar_split_clause,[],[f154,f406]) ).
fof(f154,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_eqrel_1(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( m1_eqrel_1(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_eqrel_1) ).
fof(f392,plain,
( spl15_42
| ~ spl15_8
| ~ spl15_12
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f313,f287,f244,f225,f390]) ).
fof(f313,plain,
( ! [X0] : sK8(X0) = sK13
| ~ spl15_8
| ~ spl15_12
| ~ spl15_22 ),
inference(forward_demodulation,[],[f312,f311]) ).
fof(f312,plain,
( ! [X0] : k1_xboole_0 = sK8(X0)
| ~ spl15_12
| ~ spl15_22 ),
inference(resolution,[],[f288,f245]) ).
fof(f376,plain,
spl15_41,
inference(avatar_split_clause,[],[f160,f374]) ).
fof(f160,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(f372,plain,
spl15_40,
inference(avatar_split_clause,[],[f159,f370]) ).
fof(f159,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,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(f368,plain,
spl15_39,
inference(avatar_split_clause,[],[f158,f366]) ).
fof(f158,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f112]) ).
fof(f364,plain,
spl15_38,
inference(avatar_split_clause,[],[f144,f362]) ).
fof(f144,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( k4_relat_1(k4_relat_1(X0)) = X0
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( v1_relat_1(X0)
=> k4_relat_1(k4_relat_1(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(f360,plain,
spl15_37,
inference(avatar_split_clause,[],[f137,f358]) ).
fof(f137,plain,
! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f65,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(f65,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,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(f356,plain,
( ~ spl15_35
| ~ spl15_36 ),
inference(avatar_split_clause,[],[f130,f353,f349]) ).
fof(f130,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) )
& m2_relset_1(sK4,sK0,sK1)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f64,f102,f101,f100]) ).
fof(f100,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(X3,k1_zfmisc_1(sK1)) )
=> ( ? [X4] :
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
& m1_subset_1(sK3,k1_zfmisc_1(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X4] :
( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,X4)),X4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,X4),k6_relset_1(sK0,sK1,X4))) )
& m2_relset_1(X4,sK0,sK1) )
=> ( ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) )
& m2_relset_1(sK4,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
& r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
& r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f345,plain,
spl15_34,
inference(avatar_split_clause,[],[f164,f343]) ).
fof(f164,plain,
! [X0,X1] : m1_relset_1(sK11(X0,X1),X0,X1),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( v1_relat_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f62,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ? [X2] :
( v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) )
=> ( v1_relat_1(sK11(X0,X1))
& m1_relset_1(sK11(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
? [X2] :
( v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f7,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(f341,plain,
spl15_33,
inference(avatar_split_clause,[],[f163,f339]) ).
fof(f163,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f45,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f337,plain,
spl15_32,
inference(avatar_split_clause,[],[f162,f335]) ).
fof(f162,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f25,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f25,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f333,plain,
spl15_31,
inference(avatar_split_clause,[],[f153,f331]) ).
fof(f153,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f329,plain,
( spl15_30
| ~ spl15_8
| ~ spl15_22 ),
inference(avatar_split_clause,[],[f311,f287,f225,f326]) ).
fof(f324,plain,
spl15_29,
inference(avatar_split_clause,[],[f152,f322]) ).
fof(f152,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f320,plain,
spl15_28,
inference(avatar_split_clause,[],[f151,f318]) ).
fof(f151,plain,
! [X0,X1] :
( v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( v1_relat_1(k5_relset_2(X0,X1))
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( v1_relat_1(X1)
=> v1_relat_1(k5_relset_2(X0,X1)) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( v1_funct_1(k5_relset_2(X0,X1))
& v1_relat_1(k5_relset_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relset_2) ).
fof(f309,plain,
spl15_27,
inference(avatar_split_clause,[],[f161,f307]) ).
fof(f307,plain,
( spl15_27
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f161,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f305,plain,
spl15_26,
inference(avatar_split_clause,[],[f147,f303]) ).
fof(f147,plain,
! [X0] : m1_subset_1(sK8(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f36,f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK8(X0))
& m1_subset_1(sK8(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,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(f301,plain,
spl15_25,
inference(avatar_split_clause,[],[f143,f299]) ).
fof(f143,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( v1_relat_1(X0)
=> v1_relat_1(k4_relat_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_relat_1) ).
fof(f297,plain,
spl15_24,
inference(avatar_split_clause,[],[f142,f295]) ).
fof(f142,plain,
! [X0] :
( v1_relat_1(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( v1_relat_1(k4_relat_1(X0))
& v1_xboole_0(k4_relat_1(X0)) )
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v1_relat_1(k4_relat_1(X0))
& v1_xboole_0(k4_relat_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc11_relat_1) ).
fof(f293,plain,
spl15_23,
inference(avatar_split_clause,[],[f141,f291]) ).
fof(f141,plain,
! [X0] :
( v1_xboole_0(k4_relat_1(X0))
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f289,plain,
spl15_22,
inference(avatar_split_clause,[],[f140,f287]) ).
fof(f140,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f285,plain,
spl15_21,
inference(avatar_split_clause,[],[f138,f283]) ).
fof(f283,plain,
( spl15_21
<=> ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f138,plain,
! [X0] :
( ~ v1_xboole_0(sK5(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f281,plain,
( spl15_20
| ~ spl15_12
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f277,f256,f244,f279]) ).
fof(f279,plain,
( spl15_20
<=> ! [X0] : v1_relat_1(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f277,plain,
( ! [X0] : v1_relat_1(sK8(X0))
| ~ spl15_12
| ~ spl15_15 ),
inference(resolution,[],[f257,f245]) ).
fof(f274,plain,
spl15_19,
inference(avatar_split_clause,[],[f165,f272]) ).
fof(f165,plain,
! [X0,X1] : v1_relat_1(sK11(X0,X1)),
inference(cnf_transformation,[],[f118]) ).
fof(f270,plain,
spl15_18,
inference(avatar_split_clause,[],[f150,f268]) ).
fof(f150,plain,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_sysrel) ).
fof(f266,plain,
spl15_17,
inference(avatar_split_clause,[],[f146,f264]) ).
fof(f146,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f44,f108]) ).
fof(f108,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f262,plain,
spl15_16,
inference(avatar_split_clause,[],[f145,f260]) ).
fof(f260,plain,
( spl15_16
<=> ! [X0] : m1_eqrel_1(sK6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f145,plain,
! [X0] : m1_eqrel_1(sK6(X0),X0),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] : m1_eqrel_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f3,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1] : m1_eqrel_1(X1,X0)
=> m1_eqrel_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f3,axiom,
! [X0] :
? [X1] : m1_eqrel_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_eqrel_1) ).
fof(f258,plain,
spl15_15,
inference(avatar_split_clause,[],[f139,f256]) ).
fof(f139,plain,
! [X0] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( v1_relat_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( v1_xboole_0(X0)
=> v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relat_1) ).
fof(f254,plain,
spl15_14,
inference(avatar_split_clause,[],[f136,f252]) ).
fof(f252,plain,
( spl15_14
<=> ! [X0] : m1_eqrel_1(k3_pua2mss1(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f136,plain,
! [X0] : m1_eqrel_1(k3_pua2mss1(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] : m1_eqrel_1(k3_pua2mss1(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_pua2mss1) ).
fof(f250,plain,
spl15_13,
inference(avatar_split_clause,[],[f149,f248]) ).
fof(f149,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f246,plain,
spl15_12,
inference(avatar_split_clause,[],[f148,f244]) ).
fof(f148,plain,
! [X0] : v1_xboole_0(sK8(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f242,plain,
spl15_11,
inference(avatar_split_clause,[],[f135,f240]) ).
fof(f135,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f238,plain,
spl15_10,
inference(avatar_split_clause,[],[f188,f235]) ).
fof(f188,plain,
v1_relat_1(sK14),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
v1_relat_1(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f59,f125]) ).
fof(f125,plain,
( ? [X0] : v1_relat_1(X0)
=> v1_relat_1(sK14) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0] : v1_relat_1(X0),
inference(pure_predicate_removal,[],[f8]) ).
fof(f8,axiom,
? [X0] :
( v3_relat_1(X0)
& v1_relat_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_relat_1) ).
fof(f233,plain,
spl15_9,
inference(avatar_split_clause,[],[f187,f230]) ).
fof(f230,plain,
( spl15_9
<=> v1_relat_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f187,plain,
v1_relat_1(sK13),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( v1_relat_1(sK13)
& v1_xboole_0(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f19,f123]) ).
fof(f123,plain,
( ? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) )
=> ( v1_relat_1(sK13)
& v1_xboole_0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f19,axiom,
? [X0] :
( v1_relat_1(X0)
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(f228,plain,
spl15_8,
inference(avatar_split_clause,[],[f186,f225]) ).
fof(f186,plain,
v1_xboole_0(sK13),
inference(cnf_transformation,[],[f124]) ).
fof(f223,plain,
spl15_7,
inference(avatar_split_clause,[],[f185,f220]) ).
fof(f185,plain,
v1_relat_1(sK12),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( v1_relat_1(sK12)
& ~ v1_xboole_0(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f20,f121]) ).
fof(f121,plain,
( ? [X0] :
( v1_relat_1(X0)
& ~ v1_xboole_0(X0) )
=> ( v1_relat_1(sK12)
& ~ v1_xboole_0(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
? [X0] :
( v1_relat_1(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_relat_1) ).
fof(f218,plain,
~ spl15_6,
inference(avatar_split_clause,[],[f184,f215]) ).
fof(f184,plain,
~ v1_xboole_0(sK12),
inference(cnf_transformation,[],[f122]) ).
fof(f213,plain,
spl15_5,
inference(avatar_split_clause,[],[f132,f210]) ).
fof(f132,plain,
v1_relat_1(k1_xboole_0),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( v1_relat_1(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f208,plain,
spl15_4,
inference(avatar_split_clause,[],[f131,f205]) ).
fof(f131,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f18]) ).
fof(f203,plain,
spl15_3,
inference(avatar_split_clause,[],[f129,f200]) ).
fof(f129,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f103]) ).
fof(f198,plain,
spl15_2,
inference(avatar_split_clause,[],[f128,f195]) ).
fof(f128,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f103]) ).
fof(f193,plain,
spl15_1,
inference(avatar_split_clause,[],[f127,f190]) ).
fof(f127,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n002.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 21:11:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (15873)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35 % (15876)WARNING: value z3 for option sas not known
% 0.17/0.35 % (15878)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)
% 0.17/0.35 % (15879)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)
% 0.17/0.35 % (15877)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35 % (15875)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35 % (15874)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35 % (15876)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)
% 0.17/0.35 % (15880)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.36 TRYING [3]
% 0.17/0.36 TRYING [1]
% 0.17/0.37 TRYING [2]
% 0.17/0.42 TRYING [3]
% 0.17/0.43 TRYING [4]
% 1.71/0.58 TRYING [4]
% 2.74/0.74 TRYING [5]
% 6.18/1.20 TRYING [5]
% 6.18/1.22 % (15878)First to succeed.
% 6.39/1.27 % (15878)Refutation found. Thanks to Tanya!
% 6.39/1.27 % SZS status Theorem for theBenchmark
% 6.39/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 6.39/1.29 % (15878)------------------------------
% 6.39/1.29 % (15878)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.39/1.29 % (15878)Termination reason: Refutation
% 6.39/1.29
% 6.39/1.29 % (15878)Memory used [KB]: 9473
% 6.39/1.29 % (15878)Time elapsed: 0.919 s
% 6.39/1.29 % (15878)Instructions burned: 1617 (million)
% 6.39/1.29 % (15878)------------------------------
% 6.39/1.29 % (15878)------------------------------
% 6.39/1.29 % (15873)Success in time 0.937 s
%------------------------------------------------------------------------------