TSTP Solution File: ALG222+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG222+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:29:18 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 653
% Syntax : Number of formulae : 2202 ( 227 unt; 0 def)
% Number of atoms : 11020 ( 547 equ)
% Maximal formula atoms : 46 ( 5 avg)
% Number of connectives : 15884 (7066 ~;7517 |; 652 &)
% ( 552 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 589 ( 587 usr; 551 prp; 0-10 aty)
% Number of functors : 40 ( 40 usr; 16 con; 0-5 aty)
% Number of variables : 2521 (2429 !; 92 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6070,plain,
$false,
inference(avatar_sat_refutation,[],[f384,f389,f394,f399,f404,f409,f414,f419,f424,f429,f434,f439,f444,f449,f454,f459,f464,f469,f474,f479,f484,f489,f494,f499,f504,f509,f514,f519,f524,f529,f534,f539,f544,f549,f554,f559,f563,f567,f571,f575,f579,f583,f587,f591,f595,f599,f603,f607,f614,f627,f631,f635,f640,f644,f648,f652,f656,f660,f664,f668,f672,f676,f680,f685,f689,f693,f697,f701,f705,f709,f713,f717,f721,f725,f730,f744,f749,f753,f757,f761,f766,f770,f774,f778,f782,f786,f790,f794,f798,f802,f806,f811,f815,f820,f824,f828,f833,f837,f841,f845,f849,f853,f857,f861,f865,f869,f873,f878,f882,f916,f920,f924,f928,f932,f937,f951,f955,f959,f964,f975,f979,f983,f987,f991,f1015,f1019,f1024,f1028,f1032,f1037,f1041,f1045,f1049,f1061,f1070,f1074,f1078,f1093,f1107,f1112,f1121,f1125,f1133,f1143,f1147,f1151,f1155,f1164,f1169,f1174,f1179,f1185,f1190,f1196,f1201,f1208,f1213,f1223,f1227,f1231,f1238,f1243,f1248,f1253,f1258,f1263,f1268,f1273,f1291,f1299,f1303,f1312,f1317,f1321,f1327,f1331,f1370,f1374,f1391,f1407,f1414,f1419,f1423,f1427,f1431,f1435,f1439,f1443,f1447,f1454,f1458,f1459,f1460,f1464,f1501,f1505,f1509,f1513,f1522,f1531,f1535,f1539,f1543,f1554,f1558,f1575,f1579,f1593,f1597,f1601,f1605,f1609,f1626,f1630,f1635,f1639,f1643,f1666,f1670,f1674,f1679,f1683,f1687,f1692,f1715,f1731,f1736,f1740,f1749,f1753,f1771,f1775,f1779,f1784,f1788,f1792,f1844,f1848,f1852,f1889,f1898,f1902,f1943,f1987,f2018,f2028,f2034,f2039,f2050,f2061,f2067,f2071,f2075,f2098,f2112,f2116,f2127,f2138,f2147,f2151,f2155,f2159,f2165,f2170,f2179,f2183,f2187,f2198,f2202,f2207,f2218,f2222,f2227,f2232,f2237,f2242,f2252,f2257,f2272,f2279,f2289,f2297,f2303,f2315,f2321,f2325,f2331,f2368,f2375,f2380,f2390,f2394,f2400,f2406,f2411,f2416,f2473,f2480,f2526,f2536,f2572,f2587,f2597,f2606,f2647,f2653,f2659,f2665,f2670,f2675,f2679,f2683,f2687,f2700,f2704,f2708,f2724,f2728,f2732,f2736,f2750,f2802,f2806,f2810,f2814,f2840,f2844,f2848,f2852,f2923,f2928,f2932,f2936,f2940,f2944,f2973,f2977,f2981,f2985,f2989,f3027,f3067,f3071,f3075,f3079,f3083,f3087,f3091,f3227,f3238,f3244,f3254,f3262,f3268,f3280,f3283,f3289,f3300,f3304,f3308,f3312,f3316,f3320,f3324,f3329,f3393,f3398,f3403,f3407,f3427,f3431,f3435,f3461,f3466,f3470,f3474,f3478,f3482,f3486,f3490,f3567,f3616,f3620,f3624,f3628,f3632,f3649,f3695,f3699,f3703,f3707,f3741,f3760,f3764,f3800,f3804,f3808,f3812,f3833,f3874,f3878,f3882,f3964,f3969,f3973,f3977,f3981,f4022,f4026,f4030,f4035,f4039,f4043,f4047,f4051,f4055,f4090,f4120,f4124,f4128,f4132,f4175,f4198,f4202,f4206,f4227,f4231,f4235,f4240,f4278,f4282,f4286,f4290,f4294,f4298,f4318,f4402,f4406,f4410,f4414,f4418,f4423,f4496,f4500,f4534,f4539,f4543,f4577,f4581,f4585,f4625,f4643,f4647,f4673,f4677,f4681,f4685,f4689,f4693,f4697,f4701,f4708,f4717,f4721,f4725,f4729,f4733,f4737,f4741,f4745,f4749,f4753,f4757,f4770,f4774,f4778,f4782,f4786,f4790,f4864,f4868,f4872,f4883,f4887,f4895,f4904,f4910,f4914,f4928,f4938,f4943,f4948,f4953,f4958,f4963,f4968,f4987,f5070,f5075,f5080,f5090,f5103,f5116,f5121,f5123,f5147,f5150,f5151,f5160,f5164,f5168,f5259,f5267,f5273,f5275,f5293,f5298,f5303,f5305,f5317,f5322,f5327,f5332,f5339,f5360,f5365,f5370,f5411,f5423,f5429,f5434,f5455,f5460,f5480,f5486,f5492,f5498,f5504,f5589,f5593,f5597,f5658,f5945,f5951,f5956,f5958,f5972,f5974,f6052,f6058,f6069]) ).
fof(f6069,plain,
( ~ spl33_69
| spl33_550 ),
inference(avatar_contradiction_clause,[],[f6068]) ).
fof(f6068,plain,
( $false
| ~ spl33_69
| spl33_550 ),
inference(resolution,[],[f6057,f704]) ).
fof(f704,plain,
( ! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0)
| ~ spl33_69 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f703,plain,
( spl33_69
<=> ! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_69])]) ).
fof(f6057,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK7)
| spl33_550 ),
inference(avatar_component_clause,[],[f6055]) ).
fof(f6055,plain,
( spl33_550
<=> r1_tarski(k3_xboole_0(sK7,sK8),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_550])]) ).
fof(f6058,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_379
| ~ spl33_21
| ~ spl33_550
| ~ spl33_156
| spl33_262 ),
inference(avatar_split_clause,[],[f2046,f2036,f1206,f6055,f481,f3390,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f381,plain,
( spl33_1
<=> v3_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f386,plain,
( spl33_2
<=> v3_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_2])]) ).
fof(f391,plain,
( spl33_3
<=> v4_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_3])]) ).
fof(f396,plain,
( spl33_4
<=> v5_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f401,plain,
( spl33_5
<=> v6_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_5])]) ).
fof(f406,plain,
( spl33_6
<=> v4_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_6])]) ).
fof(f411,plain,
( spl33_7
<=> v7_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f416,plain,
( spl33_8
<=> v6_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_8])]) ).
fof(f421,plain,
( spl33_9
<=> v7_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_9])]) ).
fof(f426,plain,
( spl33_10
<=> v8_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_10])]) ).
fof(f431,plain,
( spl33_11
<=> v10_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_11])]) ).
fof(f436,plain,
( spl33_12
<=> v2_vectsp_2(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_12])]) ).
fof(f441,plain,
( spl33_13
<=> l3_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f446,plain,
( spl33_14
<=> v3_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f451,plain,
( spl33_15
<=> v3_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_15])]) ).
fof(f456,plain,
( spl33_16
<=> v4_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_16])]) ).
fof(f461,plain,
( spl33_17
<=> v5_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_17])]) ).
fof(f466,plain,
( spl33_18
<=> v6_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f471,plain,
( spl33_19
<=> v5_vectsp_2(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_19])]) ).
fof(f476,plain,
( spl33_20
<=> l1_vectsp_2(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_20])]) ).
fof(f3390,plain,
( spl33_379
<=> m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_379])]) ).
fof(f481,plain,
( spl33_21
<=> m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_21])]) ).
fof(f1206,plain,
( spl33_156
<=> ! [X0,X3,X2,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_156])]) ).
fof(f2036,plain,
( spl33_262
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_262])]) ).
fof(f2046,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| spl33_262 ),
inference(resolution,[],[f2038,f1207]) ).
fof(f1207,plain,
( ! [X2,X3,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_156 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f2038,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| spl33_262 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f6052,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_369
| ~ spl33_21
| ~ spl33_549
| ~ spl33_156
| spl33_547 ),
inference(avatar_split_clause,[],[f5946,f5942,f1206,f5953,f481,f3277,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f3277,plain,
( spl33_369
<=> m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_369])]) ).
fof(f5953,plain,
( spl33_549
<=> r1_tarski(sK30,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_549])]) ).
fof(f5942,plain,
( spl33_547
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_547])]) ).
fof(f5946,plain,
( ~ r1_tarski(sK30,sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| spl33_547 ),
inference(resolution,[],[f5944,f1207]) ).
fof(f5944,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,k1_rmod_5(sK5,sK6,sK7))
| spl33_547 ),
inference(avatar_component_clause,[],[f5942]) ).
fof(f5974,plain,
( ~ spl33_262
| spl33_258
| ~ spl33_292 ),
inference(avatar_split_clause,[],[f5930,f2254,f2011,f2036]) ).
fof(f2011,plain,
( spl33_258
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_258])]) ).
fof(f2254,plain,
( spl33_292
<=> k5_subset_1(u1_struct_0(sK6),sK7,sK8) = k3_xboole_0(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_292])]) ).
fof(f5930,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| spl33_258
| ~ spl33_292 ),
inference(forward_demodulation,[],[f2013,f2256]) ).
fof(f2256,plain,
( k5_subset_1(u1_struct_0(sK6),sK7,sK8) = k3_xboole_0(sK7,sK8)
| ~ spl33_292 ),
inference(avatar_component_clause,[],[f2254]) ).
fof(f2013,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| spl33_258 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f5972,plain,
( spl33_260
| ~ spl33_255
| ~ spl33_292 ),
inference(avatar_split_clause,[],[f5937,f2254,f1999,f2025]) ).
fof(f2025,plain,
( spl33_260
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_260])]) ).
fof(f1999,plain,
( spl33_255
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_255])]) ).
fof(f5937,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,sK6)
| ~ spl33_255
| ~ spl33_292 ),
inference(forward_demodulation,[],[f2000,f2256]) ).
fof(f2000,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,sK6)
| ~ spl33_255 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f5958,plain,
( ~ spl33_175
| spl33_549 ),
inference(avatar_contradiction_clause,[],[f5957]) ).
fof(f5957,plain,
( $false
| ~ spl33_175
| spl33_549 ),
inference(resolution,[],[f5955,f1320]) ).
fof(f1320,plain,
( ! [X0] : r1_tarski(sK30,X0)
| ~ spl33_175 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1319,plain,
( spl33_175
<=> ! [X0] : r1_tarski(sK30,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_175])]) ).
fof(f5955,plain,
( ~ r1_tarski(sK30,sK7)
| spl33_549 ),
inference(avatar_component_clause,[],[f5953]) ).
fof(f5956,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_549
| ~ spl33_369
| ~ spl33_100
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_536 ),
inference(avatar_split_clause,[],[f5920,f5431,f2036,f1437,f1206,f843,f3277,f5953,f481,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f843,plain,
( spl33_100
<=> ! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_100])]) ).
fof(f1437,plain,
( spl33_188
<=> ! [X0] : sK30 = k3_xboole_0(sK30,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_188])]) ).
fof(f5431,plain,
( spl33_536
<=> sK8 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_536])]) ).
fof(f5920,plain,
( ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r1_tarski(sK30,sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_100
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f5919,f1438]) ).
fof(f1438,plain,
( ! [X0] : sK30 = k3_xboole_0(sK30,X0)
| ~ spl33_188 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f5919,plain,
( ~ m1_subset_1(k3_xboole_0(sK30,sK7),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r1_tarski(sK30,sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_100
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f5918,f844]) ).
fof(f844,plain,
( ! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0)
| ~ spl33_100 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f5918,plain,
( ~ m1_subset_1(k3_xboole_0(sK7,sK30),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r1_tarski(sK30,sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_100
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f5917,f5433]) ).
fof(f5433,plain,
( sK8 = sK30
| ~ spl33_536 ),
inference(avatar_component_clause,[],[f5431]) ).
fof(f5917,plain,
( ~ r1_tarski(sK30,sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_100
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f5916,f1438]) ).
fof(f5916,plain,
( ~ r1_tarski(k3_xboole_0(sK30,sK7),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_100
| ~ spl33_156
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f5915,f844]) ).
fof(f5915,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK30),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f2046,f5433]) ).
fof(f5951,plain,
( ~ spl33_548
| ~ spl33_160
| ~ spl33_190
| ~ spl33_532
| spl33_533 ),
inference(avatar_split_clause,[],[f5417,f5408,f5404,f1445,f1225,f5948]) ).
fof(f5948,plain,
( spl33_548
<=> r2_hidden(sK16(sK30),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_548])]) ).
fof(f1225,plain,
( spl33_160
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_160])]) ).
fof(f1445,plain,
( spl33_190
<=> ! [X0] :
( sK30 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_190])]) ).
fof(f5404,plain,
( spl33_532
<=> v1_xboole_0(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_532])]) ).
fof(f5408,plain,
( spl33_533
<=> m1_subset_1(sK16(sK8),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_533])]) ).
fof(f5417,plain,
( ~ r2_hidden(sK16(sK30),sK7)
| ~ spl33_160
| ~ spl33_190
| ~ spl33_532
| spl33_533 ),
inference(forward_demodulation,[],[f5415,f5412]) ).
fof(f5412,plain,
( sK8 = sK30
| ~ spl33_190
| ~ spl33_532 ),
inference(resolution,[],[f5406,f1446]) ).
fof(f1446,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK30 = X0 )
| ~ spl33_190 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f5406,plain,
( v1_xboole_0(sK8)
| ~ spl33_532 ),
inference(avatar_component_clause,[],[f5404]) ).
fof(f5415,plain,
( ~ r2_hidden(sK16(sK8),sK7)
| ~ spl33_160
| spl33_533 ),
inference(resolution,[],[f5409,f1226]) ).
fof(f1226,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK7) )
| ~ spl33_160 ),
inference(avatar_component_clause,[],[f1225]) ).
fof(f5409,plain,
( ~ m1_subset_1(sK16(sK8),u1_struct_0(sK6))
| spl33_533 ),
inference(avatar_component_clause,[],[f5408]) ).
fof(f5945,plain,
( ~ spl33_547
| ~ spl33_100
| ~ spl33_188
| spl33_262
| ~ spl33_536 ),
inference(avatar_split_clause,[],[f5923,f5431,f2036,f1437,f843,f5942]) ).
fof(f5923,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_100
| ~ spl33_188
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f5922,f1438]) ).
fof(f5922,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK30,sK7)),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_100
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f5921,f844]) ).
fof(f5921,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK30)),sK5,k1_rmod_5(sK5,sK6,sK7))
| spl33_262
| ~ spl33_536 ),
inference(forward_demodulation,[],[f2038,f5433]) ).
fof(f5658,plain,
( ~ spl33_21
| ~ spl33_22
| spl33_509
| ~ spl33_229
| ~ spl33_291 ),
inference(avatar_split_clause,[],[f2261,f2249,f1738,f4965,f486,f481]) ).
fof(f486,plain,
( spl33_22
<=> m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f4965,plain,
( spl33_509
<=> r1_tarski(k3_xboole_0(sK7,sK8),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_509])]) ).
fof(f1738,plain,
( spl33_229
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_tarski(k5_subset_1(X1,X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_229])]) ).
fof(f2249,plain,
( spl33_291
<=> k5_subset_1(u1_struct_0(sK6),sK8,sK7) = k3_xboole_0(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_291])]) ).
fof(f2261,plain,
( r1_tarski(k3_xboole_0(sK7,sK8),u1_struct_0(sK6))
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_229
| ~ spl33_291 ),
inference(superposition,[],[f1739,f2251]) ).
fof(f2251,plain,
( k5_subset_1(u1_struct_0(sK6),sK8,sK7) = k3_xboole_0(sK7,sK8)
| ~ spl33_291 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f1739,plain,
( ! [X2,X0,X1] :
( r1_tarski(k5_subset_1(X1,X2,X0),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl33_229 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f5597,plain,
( spl33_546
| ~ spl33_187
| ~ spl33_299 ),
inference(avatar_split_clause,[],[f2514,f2323,f1433,f5595]) ).
fof(f5595,plain,
( spl33_546
<=> ! [X0] : k3_xboole_0(sK7,k3_xboole_0(X0,u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK7,k3_xboole_0(X0,u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_546])]) ).
fof(f1433,plain,
( spl33_187
<=> ! [X0,X1] : r1_tarski(k3_xboole_0(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_187])]) ).
fof(f2323,plain,
( spl33_299
<=> ! [X0] :
( k3_xboole_0(sK7,X0) = k5_subset_1(u1_struct_0(sK6),sK7,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_299])]) ).
fof(f2514,plain,
( ! [X0] : k3_xboole_0(sK7,k3_xboole_0(X0,u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK7,k3_xboole_0(X0,u1_struct_0(sK6)))
| ~ spl33_187
| ~ spl33_299 ),
inference(resolution,[],[f2324,f1434]) ).
fof(f1434,plain,
( ! [X0,X1] : r1_tarski(k3_xboole_0(X1,X0),X0)
| ~ spl33_187 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f2324,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(sK6))
| k3_xboole_0(sK7,X0) = k5_subset_1(u1_struct_0(sK6),sK7,X0) )
| ~ spl33_299 ),
inference(avatar_component_clause,[],[f2323]) ).
fof(f5593,plain,
( spl33_545
| ~ spl33_69
| ~ spl33_299 ),
inference(avatar_split_clause,[],[f2510,f2323,f703,f5591]) ).
fof(f5591,plain,
( spl33_545
<=> ! [X0] : k3_xboole_0(sK7,k3_xboole_0(u1_struct_0(sK6),X0)) = k5_subset_1(u1_struct_0(sK6),sK7,k3_xboole_0(u1_struct_0(sK6),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_545])]) ).
fof(f2510,plain,
( ! [X0] : k3_xboole_0(sK7,k3_xboole_0(u1_struct_0(sK6),X0)) = k5_subset_1(u1_struct_0(sK6),sK7,k3_xboole_0(u1_struct_0(sK6),X0))
| ~ spl33_69
| ~ spl33_299 ),
inference(resolution,[],[f2324,f704]) ).
fof(f5589,plain,
( spl33_544
| ~ spl33_100
| ~ spl33_187
| ~ spl33_297 ),
inference(avatar_split_clause,[],[f2504,f2313,f1433,f843,f5587]) ).
fof(f5587,plain,
( spl33_544
<=> ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(X0,u1_struct_0(sK6)),sK7) = k3_xboole_0(sK7,k3_xboole_0(X0,u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_544])]) ).
fof(f2313,plain,
( spl33_297
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k3_xboole_0(X0,sK7)
| ~ r1_tarski(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_297])]) ).
fof(f2504,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(X0,u1_struct_0(sK6)),sK7) = k3_xboole_0(sK7,k3_xboole_0(X0,u1_struct_0(sK6)))
| ~ spl33_100
| ~ spl33_187
| ~ spl33_297 ),
inference(forward_demodulation,[],[f2494,f844]) ).
fof(f2494,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(X0,u1_struct_0(sK6)),sK7) = k3_xboole_0(k3_xboole_0(X0,u1_struct_0(sK6)),sK7)
| ~ spl33_187
| ~ spl33_297 ),
inference(resolution,[],[f2314,f1434]) ).
fof(f2314,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(sK6))
| k5_subset_1(u1_struct_0(sK6),X0,sK7) = k3_xboole_0(X0,sK7) )
| ~ spl33_297 ),
inference(avatar_component_clause,[],[f2313]) ).
fof(f5504,plain,
( spl33_543
| ~ spl33_69
| ~ spl33_100
| ~ spl33_297 ),
inference(avatar_split_clause,[],[f2500,f2313,f843,f703,f5502]) ).
fof(f5502,plain,
( spl33_543
<=> ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(u1_struct_0(sK6),X0),sK7) = k3_xboole_0(sK7,k3_xboole_0(u1_struct_0(sK6),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_543])]) ).
fof(f2500,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(u1_struct_0(sK6),X0),sK7) = k3_xboole_0(sK7,k3_xboole_0(u1_struct_0(sK6),X0))
| ~ spl33_69
| ~ spl33_100
| ~ spl33_297 ),
inference(forward_demodulation,[],[f2490,f844]) ).
fof(f2490,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(u1_struct_0(sK6),X0),sK7) = k3_xboole_0(k3_xboole_0(u1_struct_0(sK6),X0),sK7)
| ~ spl33_69
| ~ spl33_297 ),
inference(resolution,[],[f2314,f704]) ).
fof(f5498,plain,
( spl33_542
| ~ spl33_187
| ~ spl33_300 ),
inference(avatar_split_clause,[],[f2360,f2329,f1433,f5496]) ).
fof(f5496,plain,
( spl33_542
<=> ! [X0] : k3_xboole_0(sK8,k3_xboole_0(X0,u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK8,k3_xboole_0(X0,u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_542])]) ).
fof(f2329,plain,
( spl33_300
<=> ! [X0] :
( k3_xboole_0(sK8,X0) = k5_subset_1(u1_struct_0(sK6),sK8,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_300])]) ).
fof(f2360,plain,
( ! [X0] : k3_xboole_0(sK8,k3_xboole_0(X0,u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK8,k3_xboole_0(X0,u1_struct_0(sK6)))
| ~ spl33_187
| ~ spl33_300 ),
inference(resolution,[],[f2330,f1434]) ).
fof(f2330,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(sK6))
| k3_xboole_0(sK8,X0) = k5_subset_1(u1_struct_0(sK6),sK8,X0) )
| ~ spl33_300 ),
inference(avatar_component_clause,[],[f2329]) ).
fof(f5492,plain,
( spl33_541
| ~ spl33_69
| ~ spl33_300 ),
inference(avatar_split_clause,[],[f2356,f2329,f703,f5490]) ).
fof(f5490,plain,
( spl33_541
<=> ! [X0] : k3_xboole_0(sK8,k3_xboole_0(u1_struct_0(sK6),X0)) = k5_subset_1(u1_struct_0(sK6),sK8,k3_xboole_0(u1_struct_0(sK6),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_541])]) ).
fof(f2356,plain,
( ! [X0] : k3_xboole_0(sK8,k3_xboole_0(u1_struct_0(sK6),X0)) = k5_subset_1(u1_struct_0(sK6),sK8,k3_xboole_0(u1_struct_0(sK6),X0))
| ~ spl33_69
| ~ spl33_300 ),
inference(resolution,[],[f2330,f704]) ).
fof(f5486,plain,
( spl33_540
| ~ spl33_100
| ~ spl33_187
| ~ spl33_298 ),
inference(avatar_split_clause,[],[f2350,f2319,f1433,f843,f5484]) ).
fof(f5484,plain,
( spl33_540
<=> ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(X0,u1_struct_0(sK6)),sK8) = k3_xboole_0(sK8,k3_xboole_0(X0,u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_540])]) ).
fof(f2319,plain,
( spl33_298
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k3_xboole_0(X0,sK8)
| ~ r1_tarski(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_298])]) ).
fof(f2350,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(X0,u1_struct_0(sK6)),sK8) = k3_xboole_0(sK8,k3_xboole_0(X0,u1_struct_0(sK6)))
| ~ spl33_100
| ~ spl33_187
| ~ spl33_298 ),
inference(forward_demodulation,[],[f2341,f844]) ).
fof(f2341,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(X0,u1_struct_0(sK6)),sK8) = k3_xboole_0(k3_xboole_0(X0,u1_struct_0(sK6)),sK8)
| ~ spl33_187
| ~ spl33_298 ),
inference(resolution,[],[f2320,f1434]) ).
fof(f2320,plain,
( ! [X0] :
( ~ r1_tarski(X0,u1_struct_0(sK6))
| k5_subset_1(u1_struct_0(sK6),X0,sK8) = k3_xboole_0(X0,sK8) )
| ~ spl33_298 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f5480,plain,
( spl33_539
| ~ spl33_69
| ~ spl33_100
| ~ spl33_298 ),
inference(avatar_split_clause,[],[f2346,f2319,f843,f703,f5478]) ).
fof(f5478,plain,
( spl33_539
<=> ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(u1_struct_0(sK6),X0),sK8) = k3_xboole_0(sK8,k3_xboole_0(u1_struct_0(sK6),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_539])]) ).
fof(f2346,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(u1_struct_0(sK6),X0),sK8) = k3_xboole_0(sK8,k3_xboole_0(u1_struct_0(sK6),X0))
| ~ spl33_69
| ~ spl33_100
| ~ spl33_298 ),
inference(forward_demodulation,[],[f2337,f844]) ).
fof(f2337,plain,
( ! [X0] : k5_subset_1(u1_struct_0(sK6),k3_xboole_0(u1_struct_0(sK6),X0),sK8) = k3_xboole_0(k3_xboole_0(u1_struct_0(sK6),X0),sK8)
| ~ spl33_69
| ~ spl33_298 ),
inference(resolution,[],[f2320,f704]) ).
fof(f5460,plain,
( spl33_538
| spl33_295
| ~ spl33_397
| ~ spl33_404 ),
inference(avatar_split_clause,[],[f5162,f3705,f3622,f2286,f5457]) ).
fof(f5457,plain,
( spl33_538
<=> k3_xboole_0(sK9(sK7),sK16(k1_zfmisc_1(sK7))) = k5_subset_1(sK7,sK9(sK7),sK16(k1_zfmisc_1(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_538])]) ).
fof(f2286,plain,
( spl33_295
<=> v1_xboole_0(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_295])]) ).
fof(f3622,plain,
( spl33_397
<=> ! [X0] :
( k3_xboole_0(sK9(X0),sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK9(X0),sK16(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_397])]) ).
fof(f3705,plain,
( spl33_404
<=> ! [X0] :
( k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK9(X0)) = k5_subset_1(X0,sK9(X0),sK16(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_404])]) ).
fof(f5162,plain,
( k3_xboole_0(sK9(sK7),sK16(k1_zfmisc_1(sK7))) = k5_subset_1(sK7,sK9(sK7),sK16(k1_zfmisc_1(sK7)))
| spl33_295
| ~ spl33_397
| ~ spl33_404 ),
inference(forward_demodulation,[],[f3749,f3755]) ).
fof(f3755,plain,
( k5_subset_1(sK7,sK16(k1_zfmisc_1(sK7)),sK9(sK7)) = k3_xboole_0(sK9(sK7),sK16(k1_zfmisc_1(sK7)))
| spl33_295
| ~ spl33_397
| ~ spl33_404 ),
inference(forward_demodulation,[],[f3749,f3657]) ).
fof(f3657,plain,
( k3_xboole_0(sK9(sK7),sK16(k1_zfmisc_1(sK7))) = k5_subset_1(sK7,sK9(sK7),sK16(k1_zfmisc_1(sK7)))
| spl33_295
| ~ spl33_397 ),
inference(resolution,[],[f3623,f2287]) ).
fof(f2287,plain,
( ~ v1_xboole_0(sK7)
| spl33_295 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f3623,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k3_xboole_0(sK9(X0),sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK9(X0),sK16(k1_zfmisc_1(X0))) )
| ~ spl33_397 ),
inference(avatar_component_clause,[],[f3622]) ).
fof(f3749,plain,
( k5_subset_1(sK7,sK16(k1_zfmisc_1(sK7)),sK9(sK7)) = k5_subset_1(sK7,sK9(sK7),sK16(k1_zfmisc_1(sK7)))
| spl33_295
| ~ spl33_404 ),
inference(resolution,[],[f3706,f2287]) ).
fof(f3706,plain,
( ! [X0] :
( v1_xboole_0(X0)
| k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK9(X0)) = k5_subset_1(X0,sK9(X0),sK16(k1_zfmisc_1(X0))) )
| ~ spl33_404 ),
inference(avatar_component_clause,[],[f3705]) ).
fof(f5455,plain,
( spl33_537
| spl33_295
| ~ spl33_397
| ~ spl33_404 ),
inference(avatar_split_clause,[],[f3755,f3705,f3622,f2286,f5452]) ).
fof(f5452,plain,
( spl33_537
<=> k5_subset_1(sK7,sK16(k1_zfmisc_1(sK7)),sK9(sK7)) = k3_xboole_0(sK9(sK7),sK16(k1_zfmisc_1(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_537])]) ).
fof(f5434,plain,
( spl33_536
| ~ spl33_190
| ~ spl33_532 ),
inference(avatar_split_clause,[],[f5412,f5404,f1445,f5431]) ).
fof(f5429,plain,
( spl33_535
| spl33_159
| ~ spl33_365 ),
inference(avatar_split_clause,[],[f3231,f3225,f1220,f5426]) ).
fof(f5426,plain,
( spl33_535
<=> sK9(u1_struct_0(sK6)) = k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_535])]) ).
fof(f1220,plain,
( spl33_159
<=> v1_xboole_0(u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_159])]) ).
fof(f3225,plain,
( spl33_365
<=> ! [X0] :
( sK9(X0) = k5_subset_1(X0,sK9(X0),sK9(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_365])]) ).
fof(f3231,plain,
( sK9(u1_struct_0(sK6)) = k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK9(u1_struct_0(sK6)))
| spl33_159
| ~ spl33_365 ),
inference(resolution,[],[f3226,f1222]) ).
fof(f1222,plain,
( ~ v1_xboole_0(u1_struct_0(sK6))
| spl33_159 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f3226,plain,
( ! [X0] :
( v1_xboole_0(X0)
| sK9(X0) = k5_subset_1(X0,sK9(X0),sK9(X0)) )
| ~ spl33_365 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f5423,plain,
( spl33_295
| ~ spl33_21
| spl33_534
| ~ spl33_197
| ~ spl33_414 ),
inference(avatar_split_clause,[],[f3945,f3876,f1519,f5420,f481,f2286]) ).
fof(f5420,plain,
( spl33_534
<=> m1_subset_1(sK16(sK7),u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_534])]) ).
fof(f1519,plain,
( spl33_197
<=> sK7 = k5_subset_1(u1_struct_0(sK6),sK7,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_197])]) ).
fof(f3876,plain,
( spl33_414
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| m1_subset_1(sK16(k5_subset_1(X1,X0,X2)),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k5_subset_1(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_414])]) ).
fof(f3945,plain,
( m1_subset_1(sK16(sK7),u1_struct_0(sK6))
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| v1_xboole_0(sK7)
| ~ spl33_197
| ~ spl33_414 ),
inference(duplicate_literal_removal,[],[f3918]) ).
fof(f3918,plain,
( m1_subset_1(sK16(sK7),u1_struct_0(sK6))
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| v1_xboole_0(sK7)
| ~ spl33_197
| ~ spl33_414 ),
inference(superposition,[],[f3877,f1521]) ).
fof(f1521,plain,
( sK7 = k5_subset_1(u1_struct_0(sK6),sK7,sK7)
| ~ spl33_197 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f3877,plain,
( ! [X2,X0,X1] :
( m1_subset_1(sK16(k5_subset_1(X1,X0,X2)),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k5_subset_1(X1,X0,X2)) )
| ~ spl33_414 ),
inference(avatar_component_clause,[],[f3876]) ).
fof(f5411,plain,
( spl33_532
| ~ spl33_22
| spl33_533
| ~ spl33_216
| ~ spl33_414 ),
inference(avatar_split_clause,[],[f3944,f3876,f1632,f5408,f486,f5404]) ).
fof(f1632,plain,
( spl33_216
<=> sK8 = k5_subset_1(u1_struct_0(sK6),sK8,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_216])]) ).
fof(f3944,plain,
( m1_subset_1(sK16(sK8),u1_struct_0(sK6))
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| v1_xboole_0(sK8)
| ~ spl33_216
| ~ spl33_414 ),
inference(duplicate_literal_removal,[],[f3925]) ).
fof(f3925,plain,
( m1_subset_1(sK16(sK8),u1_struct_0(sK6))
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| v1_xboole_0(sK8)
| ~ spl33_216
| ~ spl33_414 ),
inference(superposition,[],[f3877,f1634]) ).
fof(f1634,plain,
( sK8 = k5_subset_1(u1_struct_0(sK6),sK8,sK8)
| ~ spl33_216 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f5370,plain,
( ~ spl33_97
| spl33_531
| ~ spl33_96
| ~ spl33_504 ),
inference(avatar_split_clause,[],[f4970,f4940,f826,f5367,f830]) ).
fof(f830,plain,
( spl33_97
<=> l1_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_97])]) ).
fof(f5367,plain,
( spl33_531
<=> l1_rlvect_1(k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_531])]) ).
fof(f826,plain,
( spl33_96
<=> ! [X0,X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_96])]) ).
fof(f4940,plain,
( spl33_504
<=> l1_vectsp_2(k1_rmod_5(sK5,sK6,sK7),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_504])]) ).
fof(f4970,plain,
( l1_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ l1_struct_0(sK5)
| ~ spl33_96
| ~ spl33_504 ),
inference(resolution,[],[f4942,f827]) ).
fof(f827,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl33_96 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f4942,plain,
( l1_vectsp_2(k1_rmod_5(sK5,sK6,sK7),sK5)
| ~ spl33_504 ),
inference(avatar_component_clause,[],[f4940]) ).
fof(f5365,plain,
( spl33_530
| ~ spl33_39
| ~ spl33_299 ),
inference(avatar_split_clause,[],[f2508,f2323,f569,f5362]) ).
fof(f5362,plain,
( spl33_530
<=> k3_xboole_0(sK7,u1_struct_0(sK6)) = k5_subset_1(u1_struct_0(sK6),sK7,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_530])]) ).
fof(f569,plain,
( spl33_39
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_39])]) ).
fof(f2508,plain,
( k3_xboole_0(sK7,u1_struct_0(sK6)) = k5_subset_1(u1_struct_0(sK6),sK7,u1_struct_0(sK6))
| ~ spl33_39
| ~ spl33_299 ),
inference(resolution,[],[f2324,f570]) ).
fof(f570,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl33_39 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f5360,plain,
( spl33_529
| ~ spl33_39
| ~ spl33_100
| ~ spl33_297 ),
inference(avatar_split_clause,[],[f2498,f2313,f843,f569,f5357]) ).
fof(f5357,plain,
( spl33_529
<=> k5_subset_1(u1_struct_0(sK6),u1_struct_0(sK6),sK7) = k3_xboole_0(sK7,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_529])]) ).
fof(f2498,plain,
( k5_subset_1(u1_struct_0(sK6),u1_struct_0(sK6),sK7) = k3_xboole_0(sK7,u1_struct_0(sK6))
| ~ spl33_39
| ~ spl33_100
| ~ spl33_297 ),
inference(forward_demodulation,[],[f2488,f844]) ).
fof(f2488,plain,
( k5_subset_1(u1_struct_0(sK6),u1_struct_0(sK6),sK7) = k3_xboole_0(u1_struct_0(sK6),sK7)
| ~ spl33_39
| ~ spl33_297 ),
inference(resolution,[],[f2314,f570]) ).
fof(f5339,plain,
( spl33_528
| spl33_295
| ~ spl33_365 ),
inference(avatar_split_clause,[],[f3245,f3225,f2286,f5336]) ).
fof(f5336,plain,
( spl33_528
<=> sK9(sK7) = k5_subset_1(sK7,sK9(sK7),sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_528])]) ).
fof(f3245,plain,
( sK9(sK7) = k5_subset_1(sK7,sK9(sK7),sK9(sK7))
| spl33_295
| ~ spl33_365 ),
inference(resolution,[],[f2287,f3226]) ).
fof(f5332,plain,
( spl33_527
| ~ spl33_91
| ~ spl33_519 ),
inference(avatar_split_clause,[],[f5266,f5256,f804,f5329]) ).
fof(f5329,plain,
( spl33_527
<=> l1_vectsp_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_527])]) ).
fof(f804,plain,
( spl33_91
<=> ! [X0,X1] :
( l1_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_91])]) ).
fof(f5256,plain,
( spl33_519
<=> sP2(sK5,k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_519])]) ).
fof(f5266,plain,
( l1_vectsp_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5)
| ~ spl33_91
| ~ spl33_519 ),
inference(resolution,[],[f5258,f805]) ).
fof(f805,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| l1_vectsp_2(X1,X0) )
| ~ spl33_91 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f5258,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ spl33_519 ),
inference(avatar_component_clause,[],[f5256]) ).
fof(f5327,plain,
( spl33_526
| ~ spl33_90
| ~ spl33_519 ),
inference(avatar_split_clause,[],[f5265,f5256,f800,f5324]) ).
fof(f5324,plain,
( spl33_526
<=> v5_vectsp_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_526])]) ).
fof(f800,plain,
( spl33_90
<=> ! [X0,X1] :
( v5_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_90])]) ).
fof(f5265,plain,
( v5_vectsp_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5)
| ~ spl33_90
| ~ spl33_519 ),
inference(resolution,[],[f5258,f801]) ).
fof(f801,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v5_vectsp_2(X1,X0) )
| ~ spl33_90 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f5322,plain,
( spl33_525
| ~ spl33_74
| ~ spl33_519 ),
inference(avatar_split_clause,[],[f5264,f5256,f723,f5319]) ).
fof(f5319,plain,
( spl33_525
<=> v6_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_525])]) ).
fof(f723,plain,
( spl33_74
<=> ! [X0,X1] :
( v6_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_74])]) ).
fof(f5264,plain,
( v6_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ spl33_74
| ~ spl33_519 ),
inference(resolution,[],[f5258,f724]) ).
fof(f724,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v6_rlvect_1(X1) )
| ~ spl33_74 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f5317,plain,
( spl33_524
| ~ spl33_73
| ~ spl33_519 ),
inference(avatar_split_clause,[],[f5263,f5256,f719,f5314]) ).
fof(f5314,plain,
( spl33_524
<=> v5_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_524])]) ).
fof(f719,plain,
( spl33_73
<=> ! [X0,X1] :
( v5_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_73])]) ).
fof(f5263,plain,
( v5_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ spl33_73
| ~ spl33_519 ),
inference(resolution,[],[f5258,f720]) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v5_rlvect_1(X1) )
| ~ spl33_73 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f5305,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| spl33_378
| ~ spl33_381
| ~ spl33_387
| ~ spl33_394
| ~ spl33_400
| ~ spl33_503
| ~ spl33_504
| spl33_519
| ~ spl33_145
| ~ spl33_262 ),
inference(avatar_split_clause,[],[f5169,f2036,f1145,f5256,f4940,f4935,f3646,f3564,f3463,f3400,f3326,f441,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f3326,plain,
( spl33_378
<=> v3_struct_0(k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_378])]) ).
fof(f3400,plain,
( spl33_381
<=> v3_rlvect_1(k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_381])]) ).
fof(f3463,plain,
( spl33_387
<=> v4_rlvect_1(k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_387])]) ).
fof(f3564,plain,
( spl33_394
<=> v5_rlvect_1(k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_394])]) ).
fof(f3646,plain,
( spl33_400
<=> v6_rlvect_1(k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_400])]) ).
fof(f4935,plain,
( spl33_503
<=> v5_vectsp_2(k1_rmod_5(sK5,sK6,sK7),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_503])]) ).
fof(f1145,plain,
( spl33_145
<=> ! [X2,X0,X1] :
( sP2(X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_145])]) ).
fof(f5169,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ l1_vectsp_2(k1_rmod_5(sK5,sK6,sK7),sK5)
| ~ v5_vectsp_2(k1_rmod_5(sK5,sK6,sK7),sK5)
| ~ v6_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ v5_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ v4_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ v3_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| v3_struct_0(k1_rmod_5(sK5,sK6,sK7))
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_145
| ~ spl33_262 ),
inference(resolution,[],[f2037,f1146]) ).
fof(f1146,plain,
( ! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| sP2(X0,X2)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_145 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f2037,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_262 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f5303,plain,
( spl33_523
| ~ spl33_72
| ~ spl33_519 ),
inference(avatar_split_clause,[],[f5262,f5256,f715,f5300]) ).
fof(f5300,plain,
( spl33_523
<=> v4_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_523])]) ).
fof(f715,plain,
( spl33_72
<=> ! [X0,X1] :
( v4_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_72])]) ).
fof(f5262,plain,
( v4_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ spl33_72
| ~ spl33_519 ),
inference(resolution,[],[f5258,f716]) ).
fof(f716,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v4_rlvect_1(X1) )
| ~ spl33_72 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f5298,plain,
( spl33_522
| ~ spl33_71
| ~ spl33_519 ),
inference(avatar_split_clause,[],[f5261,f5256,f711,f5295]) ).
fof(f5295,plain,
( spl33_522
<=> v3_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_522])]) ).
fof(f711,plain,
( spl33_71
<=> ! [X0,X1] :
( v3_rlvect_1(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_71])]) ).
fof(f5261,plain,
( v3_rlvect_1(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ spl33_71
| ~ spl33_519 ),
inference(resolution,[],[f5258,f712]) ).
fof(f712,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| v3_rlvect_1(X1) )
| ~ spl33_71 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f5293,plain,
( ~ spl33_521
| ~ spl33_70
| ~ spl33_519 ),
inference(avatar_split_clause,[],[f5260,f5256,f707,f5290]) ).
fof(f5290,plain,
( spl33_521
<=> v3_struct_0(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_521])]) ).
fof(f707,plain,
( spl33_70
<=> ! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_70])]) ).
fof(f5260,plain,
( ~ v3_struct_0(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ spl33_70
| ~ spl33_519 ),
inference(resolution,[],[f5258,f708]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ sP2(X0,X1)
| ~ v3_struct_0(X1) )
| ~ spl33_70 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f5275,plain,
( ~ spl33_187
| spl33_520 ),
inference(avatar_contradiction_clause,[],[f5274]) ).
fof(f5274,plain,
( $false
| ~ spl33_187
| spl33_520 ),
inference(resolution,[],[f5272,f1434]) ).
fof(f5272,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK8)
| spl33_520 ),
inference(avatar_component_clause,[],[f5270]) ).
fof(f5270,plain,
( spl33_520
<=> r1_tarski(k3_xboole_0(sK7,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_520])]) ).
fof(f5273,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_379
| ~ spl33_22
| ~ spl33_520
| ~ spl33_156
| spl33_261 ),
inference(avatar_split_clause,[],[f2040,f2031,f1206,f5270,f486,f3390,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f2031,plain,
( spl33_261
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_261])]) ).
fof(f2040,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK8)
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| spl33_261 ),
inference(resolution,[],[f2033,f1207]) ).
fof(f2033,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8))
| spl33_261 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f5267,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_369
| ~ spl33_517
| ~ spl33_156
| spl33_518 ),
inference(avatar_split_clause,[],[f5167,f5157,f1206,f5144,f3277,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f5144,plain,
( spl33_517
<=> r1_tarski(sK30,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_517])]) ).
fof(f5157,plain,
( spl33_518
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,k1_rmod_5(sK5,sK6,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_518])]) ).
fof(f5167,plain,
( ~ r1_tarski(sK30,sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| spl33_518 ),
inference(duplicate_literal_removal,[],[f5166]) ).
fof(f5166,plain,
( ~ r1_tarski(sK30,sK30)
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| spl33_518 ),
inference(resolution,[],[f5158,f1207]) ).
fof(f5158,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,k1_rmod_5(sK5,sK6,sK30))
| spl33_518 ),
inference(avatar_component_clause,[],[f5157]) ).
fof(f5259,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| spl33_519
| ~ spl33_145
| ~ spl33_260 ),
inference(avatar_split_clause,[],[f5165,f2025,f1145,f5256,f476,f471,f466,f461,f456,f451,f446,f441,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f5165,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_145
| ~ spl33_260 ),
inference(resolution,[],[f2026,f1146]) ).
fof(f2026,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,sK6)
| ~ spl33_260 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f5168,plain,
( spl33_262
| ~ spl33_258
| ~ spl33_292 ),
inference(avatar_split_clause,[],[f5161,f2254,f2011,f2036]) ).
fof(f5161,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_258
| ~ spl33_292 ),
inference(forward_demodulation,[],[f2012,f2256]) ).
fof(f2012,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_258 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f5164,plain,
( spl33_260
| ~ spl33_255
| ~ spl33_292 ),
inference(avatar_split_clause,[],[f5140,f2254,f1999,f2025]) ).
fof(f5140,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,sK6)
| ~ spl33_255
| ~ spl33_292 ),
inference(forward_demodulation,[],[f2000,f2256]) ).
fof(f5160,plain,
( spl33_518
| ~ spl33_188
| ~ spl33_262
| ~ spl33_302 ),
inference(avatar_split_clause,[],[f5153,f2372,f2036,f1437,f5157]) ).
fof(f2372,plain,
( spl33_302
<=> sK7 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_302])]) ).
fof(f5153,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_188
| ~ spl33_262
| ~ spl33_302 ),
inference(forward_demodulation,[],[f5152,f1438]) ).
fof(f5152,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK30,sK8)),sK5,k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_262
| ~ spl33_302 ),
inference(forward_demodulation,[],[f2037,f2374]) ).
fof(f2374,plain,
( sK7 = sK30
| ~ spl33_302 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f5151,plain,
( ~ spl33_175
| spl33_517 ),
inference(avatar_contradiction_clause,[],[f5148]) ).
fof(f5148,plain,
( $false
| ~ spl33_175
| spl33_517 ),
inference(resolution,[],[f5146,f1320]) ).
fof(f5146,plain,
( ~ r1_tarski(sK30,sK30)
| spl33_517 ),
inference(avatar_component_clause,[],[f5144]) ).
fof(f5150,plain,
( ~ spl33_39
| spl33_517 ),
inference(avatar_contradiction_clause,[],[f5149]) ).
fof(f5149,plain,
( $false
| ~ spl33_39
| spl33_517 ),
inference(resolution,[],[f5146,f570]) ).
fof(f5147,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_517
| ~ spl33_369
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_302 ),
inference(avatar_split_clause,[],[f5133,f2372,f2036,f1437,f1206,f3277,f5144,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f5133,plain,
( ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r1_tarski(sK30,sK30)
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_302 ),
inference(duplicate_literal_removal,[],[f5132]) ).
fof(f5132,plain,
( ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r1_tarski(sK30,sK30)
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_302 ),
inference(forward_demodulation,[],[f5131,f1438]) ).
fof(f5131,plain,
( ~ m1_subset_1(k3_xboole_0(sK30,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r1_tarski(sK30,sK30)
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_302 ),
inference(forward_demodulation,[],[f5130,f2374]) ).
fof(f5130,plain,
( ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ r1_tarski(sK30,sK30)
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_302 ),
inference(forward_demodulation,[],[f5129,f2374]) ).
fof(f5129,plain,
( ~ r1_tarski(sK30,sK30)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| ~ spl33_188
| spl33_262
| ~ spl33_302 ),
inference(forward_demodulation,[],[f5128,f1438]) ).
fof(f5128,plain,
( ~ r1_tarski(k3_xboole_0(sK30,sK8),sK30)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_156
| spl33_262
| ~ spl33_302 ),
inference(forward_demodulation,[],[f2046,f2374]) ).
fof(f5123,plain,
( ~ spl33_175
| spl33_511 ),
inference(avatar_contradiction_clause,[],[f5122]) ).
fof(f5122,plain,
( $false
| ~ spl33_175
| spl33_511 ),
inference(resolution,[],[f5069,f1320]) ).
fof(f5069,plain,
( ~ r1_tarski(sK30,u1_struct_0(sK6))
| spl33_511 ),
inference(avatar_component_clause,[],[f5067]) ).
fof(f5067,plain,
( spl33_511
<=> r1_tarski(sK30,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_511])]) ).
fof(f5121,plain,
( spl33_516
| ~ spl33_39
| ~ spl33_300 ),
inference(avatar_split_clause,[],[f2354,f2329,f569,f5118]) ).
fof(f5118,plain,
( spl33_516
<=> k3_xboole_0(sK8,u1_struct_0(sK6)) = k5_subset_1(u1_struct_0(sK6),sK8,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_516])]) ).
fof(f2354,plain,
( k3_xboole_0(sK8,u1_struct_0(sK6)) = k5_subset_1(u1_struct_0(sK6),sK8,u1_struct_0(sK6))
| ~ spl33_39
| ~ spl33_300 ),
inference(resolution,[],[f2330,f570]) ).
fof(f5116,plain,
( spl33_515
| ~ spl33_39
| ~ spl33_100
| ~ spl33_298 ),
inference(avatar_split_clause,[],[f2344,f2319,f843,f569,f5113]) ).
fof(f5113,plain,
( spl33_515
<=> k5_subset_1(u1_struct_0(sK6),u1_struct_0(sK6),sK8) = k3_xboole_0(sK8,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_515])]) ).
fof(f2344,plain,
( k5_subset_1(u1_struct_0(sK6),u1_struct_0(sK6),sK8) = k3_xboole_0(sK8,u1_struct_0(sK6))
| ~ spl33_39
| ~ spl33_100
| ~ spl33_298 ),
inference(forward_demodulation,[],[f2335,f844]) ).
fof(f2335,plain,
( k5_subset_1(u1_struct_0(sK6),u1_struct_0(sK6),sK8) = k3_xboole_0(u1_struct_0(sK6),sK8)
| ~ spl33_39
| ~ spl33_298 ),
inference(resolution,[],[f2320,f570]) ).
fof(f5103,plain,
( spl33_514
| spl33_159
| ~ spl33_356 ),
inference(avatar_split_clause,[],[f3057,f2987,f1220,f5100]) ).
fof(f5100,plain,
( spl33_514
<=> sK30 = k5_subset_1(u1_struct_0(sK6),sK30,sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_514])]) ).
fof(f2987,plain,
( spl33_356
<=> ! [X0] :
( sK30 = k5_subset_1(X0,sK30,sK9(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_356])]) ).
fof(f3057,plain,
( sK30 = k5_subset_1(u1_struct_0(sK6),sK30,sK9(u1_struct_0(sK6)))
| spl33_159
| ~ spl33_356 ),
inference(resolution,[],[f2988,f1222]) ).
fof(f2988,plain,
( ! [X0] :
( v1_xboole_0(X0)
| sK30 = k5_subset_1(X0,sK30,sK9(X0)) )
| ~ spl33_356 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f5090,plain,
( spl33_311
| spl33_159
| ~ spl33_353 ),
inference(avatar_split_clause,[],[f3004,f2975,f1220,f2477]) ).
fof(f2477,plain,
( spl33_311
<=> sK30 = k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_311])]) ).
fof(f2975,plain,
( spl33_353
<=> ! [X0] :
( sK30 = k5_subset_1(X0,sK9(X0),sK30)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_353])]) ).
fof(f3004,plain,
( sK30 = k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK30)
| spl33_159
| ~ spl33_353 ),
inference(resolution,[],[f2976,f1222]) ).
fof(f2976,plain,
( ! [X0] :
( v1_xboole_0(X0)
| sK30 = k5_subset_1(X0,sK9(X0),sK30) )
| ~ spl33_353 ),
inference(avatar_component_clause,[],[f2975]) ).
fof(f5080,plain,
( spl33_513
| ~ spl33_43
| ~ spl33_289 ),
inference(avatar_split_clause,[],[f2247,f2234,f585,f5077]) ).
fof(f5077,plain,
( spl33_513
<=> l1_group_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_513])]) ).
fof(f585,plain,
( spl33_43
<=> ! [X0] :
( l1_group_1(X0)
| ~ l1_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_43])]) ).
fof(f2234,plain,
( spl33_289
<=> l1_vectsp_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_289])]) ).
fof(f2247,plain,
( l1_group_1(sK26)
| ~ spl33_43
| ~ spl33_289 ),
inference(resolution,[],[f2236,f586]) ).
fof(f586,plain,
( ! [X0] :
( ~ l1_vectsp_1(X0)
| l1_group_1(X0) )
| ~ spl33_43 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f2236,plain,
( l1_vectsp_1(sK26)
| ~ spl33_289 ),
inference(avatar_component_clause,[],[f2234]) ).
fof(f5075,plain,
( spl33_512
| ~ spl33_47
| ~ spl33_288 ),
inference(avatar_split_clause,[],[f2244,f2229,f601,f5072]) ).
fof(f5072,plain,
( spl33_512
<=> l1_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_512])]) ).
fof(f601,plain,
( spl33_47
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_47])]) ).
fof(f2229,plain,
( spl33_288
<=> l2_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_288])]) ).
fof(f2244,plain,
( l1_struct_0(sK26)
| ~ spl33_47
| ~ spl33_288 ),
inference(resolution,[],[f2231,f602]) ).
fof(f602,plain,
( ! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) )
| ~ spl33_47 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f2231,plain,
( l2_struct_0(sK26)
| ~ spl33_288 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f5070,plain,
( ~ spl33_511
| ~ spl33_188
| ~ spl33_302
| spl33_509 ),
inference(avatar_split_clause,[],[f5064,f4965,f2372,f1437,f5067]) ).
fof(f5064,plain,
( ~ r1_tarski(sK30,u1_struct_0(sK6))
| ~ spl33_188
| ~ spl33_302
| spl33_509 ),
inference(forward_demodulation,[],[f5050,f1438]) ).
fof(f5050,plain,
( ~ r1_tarski(k3_xboole_0(sK30,sK8),u1_struct_0(sK6))
| ~ spl33_302
| spl33_509 ),
inference(superposition,[],[f4967,f2374]) ).
fof(f4967,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),u1_struct_0(sK6))
| spl33_509 ),
inference(avatar_component_clause,[],[f4965]) ).
fof(f4987,plain,
( spl33_510
| spl33_295
| ~ spl33_356 ),
inference(avatar_split_clause,[],[f3246,f2987,f2286,f4984]) ).
fof(f4984,plain,
( spl33_510
<=> sK30 = k5_subset_1(sK7,sK30,sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_510])]) ).
fof(f3246,plain,
( sK30 = k5_subset_1(sK7,sK30,sK9(sK7))
| spl33_295
| ~ spl33_356 ),
inference(resolution,[],[f2287,f2988]) ).
fof(f4968,plain,
( ~ spl33_509
| ~ spl33_107
| spl33_379 ),
inference(avatar_split_clause,[],[f3394,f3390,f871,f4965]) ).
fof(f871,plain,
( spl33_107
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_107])]) ).
fof(f3394,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),u1_struct_0(sK6))
| ~ spl33_107
| spl33_379 ),
inference(resolution,[],[f3392,f872]) ).
fof(f872,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl33_107 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f3392,plain,
( ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| spl33_379 ),
inference(avatar_component_clause,[],[f3390]) ).
fof(f4963,plain,
( spl33_508
| ~ spl33_91
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f3296,f3286,f804,f4960]) ).
fof(f4960,plain,
( spl33_508
<=> l1_vectsp_2(k1_rmod_5(sK5,sK6,sK30),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_508])]) ).
fof(f3286,plain,
( spl33_370
<=> sP2(sK5,k1_rmod_5(sK5,sK6,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_370])]) ).
fof(f3296,plain,
( l1_vectsp_2(k1_rmod_5(sK5,sK6,sK30),sK5)
| ~ spl33_91
| ~ spl33_370 ),
inference(resolution,[],[f3288,f805]) ).
fof(f3288,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_370 ),
inference(avatar_component_clause,[],[f3286]) ).
fof(f4958,plain,
( spl33_507
| ~ spl33_90
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f3295,f3286,f800,f4955]) ).
fof(f4955,plain,
( spl33_507
<=> v5_vectsp_2(k1_rmod_5(sK5,sK6,sK30),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_507])]) ).
fof(f3295,plain,
( v5_vectsp_2(k1_rmod_5(sK5,sK6,sK30),sK5)
| ~ spl33_90
| ~ spl33_370 ),
inference(resolution,[],[f3288,f801]) ).
fof(f4953,plain,
( spl33_506
| ~ spl33_91
| ~ spl33_368 ),
inference(avatar_split_clause,[],[f3275,f3265,f804,f4950]) ).
fof(f4950,plain,
( spl33_506
<=> l1_vectsp_2(k1_rmod_5(sK5,sK6,sK8),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_506])]) ).
fof(f3265,plain,
( spl33_368
<=> sP2(sK5,k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_368])]) ).
fof(f3275,plain,
( l1_vectsp_2(k1_rmod_5(sK5,sK6,sK8),sK5)
| ~ spl33_91
| ~ spl33_368 ),
inference(resolution,[],[f3267,f805]) ).
fof(f3267,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,sK8))
| ~ spl33_368 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f4948,plain,
( spl33_505
| ~ spl33_90
| ~ spl33_368 ),
inference(avatar_split_clause,[],[f3274,f3265,f800,f4945]) ).
fof(f4945,plain,
( spl33_505
<=> v5_vectsp_2(k1_rmod_5(sK5,sK6,sK8),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_505])]) ).
fof(f3274,plain,
( v5_vectsp_2(k1_rmod_5(sK5,sK6,sK8),sK5)
| ~ spl33_90
| ~ spl33_368 ),
inference(resolution,[],[f3267,f801]) ).
fof(f4943,plain,
( spl33_504
| ~ spl33_91
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f3261,f3251,f804,f4940]) ).
fof(f3251,plain,
( spl33_367
<=> sP2(sK5,k1_rmod_5(sK5,sK6,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_367])]) ).
fof(f3261,plain,
( l1_vectsp_2(k1_rmod_5(sK5,sK6,sK7),sK5)
| ~ spl33_91
| ~ spl33_367 ),
inference(resolution,[],[f3253,f805]) ).
fof(f3253,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_367 ),
inference(avatar_component_clause,[],[f3251]) ).
fof(f4938,plain,
( spl33_503
| ~ spl33_90
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f3260,f3251,f800,f4935]) ).
fof(f3260,plain,
( v5_vectsp_2(k1_rmod_5(sK5,sK6,sK7),sK5)
| ~ spl33_90
| ~ spl33_367 ),
inference(resolution,[],[f3253,f801]) ).
fof(f4928,plain,
( spl33_502
| ~ spl33_233
| ~ spl33_277 ),
inference(avatar_split_clause,[],[f2175,f2163,f1773,f4926]) ).
fof(f4926,plain,
( spl33_502
<=> ! [X0,X3,X2,X1] :
( sP4(u1_vectsp_2(X0,X1),u1_vectsp_2(X0,X1),X2,X2,X3,X3,u1_struct_0(X1),u1_struct_0(X1),X0,X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_502])]) ).
fof(f1773,plain,
( spl33_233
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ l1_struct_0(X1)
| m1_relset_1(u1_vectsp_2(X1,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_233])]) ).
fof(f2163,plain,
( spl33_277
<=> ! [X4,X0,X3,X2,X1] :
( sP4(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4)
| ~ m1_relset_1(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_277])]) ).
fof(f2175,plain,
( ! [X2,X3,X0,X1] :
( sP4(u1_vectsp_2(X0,X1),u1_vectsp_2(X0,X1),X2,X2,X3,X3,u1_struct_0(X1),u1_struct_0(X1),X0,X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) )
| ~ spl33_233
| ~ spl33_277 ),
inference(duplicate_literal_removal,[],[f2172]) ).
fof(f2172,plain,
( ! [X2,X3,X0,X1] :
( sP4(u1_vectsp_2(X0,X1),u1_vectsp_2(X0,X1),X2,X2,X3,X3,u1_struct_0(X1),u1_struct_0(X1),X0,X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) )
| ~ spl33_233
| ~ spl33_277 ),
inference(resolution,[],[f2164,f1774]) ).
fof(f1774,plain,
( ! [X0,X1] :
( m1_relset_1(u1_vectsp_2(X1,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0))
| ~ l1_struct_0(X1)
| ~ l1_vectsp_2(X0,X1) )
| ~ spl33_233 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f2164,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| sP4(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X4) )
| ~ spl33_277 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f4914,plain,
( spl33_501
| ~ spl33_195
| ~ spl33_277 ),
inference(avatar_split_clause,[],[f2174,f2163,f1507,f4912]) ).
fof(f4912,plain,
( spl33_501
<=> ! [X0,X3,X2,X1] :
( sP4(sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_501])]) ).
fof(f1507,plain,
( spl33_195
<=> ! [X0,X1] : m1_relset_1(sK21(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_195])]) ).
fof(f2174,plain,
( ! [X2,X3,X0,X1] :
( sP4(sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) )
| ~ spl33_195
| ~ spl33_277 ),
inference(resolution,[],[f2164,f1508]) ).
fof(f1508,plain,
( ! [X0,X1] : m1_relset_1(sK21(X0,X1),X0,X1)
| ~ spl33_195 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f4910,plain,
( spl33_500
| ~ spl33_92
| ~ spl33_277 ),
inference(avatar_split_clause,[],[f2173,f2163,f809,f4908]) ).
fof(f4908,plain,
( spl33_500
<=> ! [X0,X3,X2,X1] :
( sP4(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_500])]) ).
fof(f809,plain,
( spl33_92
<=> ! [X0,X1] : m1_relset_1(sK20(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_92])]) ).
fof(f2173,plain,
( ! [X2,X3,X0,X1] :
( sP4(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),X2,X2,X3,X3,X0,X0,X1,X1)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0),k2_zfmisc_1(X0,u1_struct_0(X1)),X0)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X0,u1_struct_0(X1)),X0))
| ~ m1_subset_1(X2,X0)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X1) )
| ~ spl33_92
| ~ spl33_277 ),
inference(resolution,[],[f2164,f810]) ).
fof(f810,plain,
( ! [X0,X1] : m1_relset_1(sK20(X0,X1),X0,X1)
| ~ spl33_92 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f4904,plain,
( spl33_499
| ~ spl33_148
| ~ spl33_233 ),
inference(avatar_split_clause,[],[f1800,f1773,f1162,f4902]) ).
fof(f4902,plain,
( spl33_499
<=> ! [X0,X3,X2,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)))
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v1_xboole_0(u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_499])]) ).
fof(f1162,plain,
( spl33_148
<=> ! [X4,X0,X3,X2,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_148])]) ).
fof(f1800,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)))
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v1_xboole_0(u1_struct_0(X1)) )
| ~ spl33_148
| ~ spl33_233 ),
inference(duplicate_literal_removal,[],[f1794]) ).
fof(f1794,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)))
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X0) )
| ~ spl33_148
| ~ spl33_233 ),
inference(resolution,[],[f1774,f1163]) ).
fof(f1163,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4))
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) )
| ~ spl33_148 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f4895,plain,
( spl33_498
| ~ spl33_223
| ~ spl33_277 ),
inference(avatar_split_clause,[],[f2171,f2163,f1681,f4893]) ).
fof(f4893,plain,
( spl33_498
<=> ! [X2,X0,X1] :
( sP4(u1_rlvect_1(X0),u1_rlvect_1(X0),X1,X1,X2,X2,u1_struct_0(X0),u1_struct_0(X0),X0,X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_498])]) ).
fof(f1681,plain,
( spl33_223
<=> ! [X0] :
( ~ l1_rlvect_1(X0)
| m1_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_223])]) ).
fof(f2171,plain,
( ! [X2,X0,X1] :
( sP4(u1_rlvect_1(X0),u1_rlvect_1(X0),X1,X1,X2,X2,u1_struct_0(X0),u1_struct_0(X0),X0,X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0)
| ~ l1_rlvect_1(X0) )
| ~ spl33_223
| ~ spl33_277 ),
inference(resolution,[],[f2164,f1682]) ).
fof(f1682,plain,
( ! [X0] :
( m1_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) )
| ~ spl33_223 ),
inference(avatar_component_clause,[],[f1681]) ).
fof(f4887,plain,
( spl33_497
| ~ spl33_147
| ~ spl33_233 ),
inference(avatar_split_clause,[],[f1799,f1773,f1153,f4885]) ).
fof(f4885,plain,
( spl33_497
<=> ! [X0,X3,X2,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_497])]) ).
fof(f1153,plain,
( spl33_147
<=> ! [X4,X0,X3,X2,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_147])]) ).
fof(f1799,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ spl33_147
| ~ spl33_233 ),
inference(duplicate_literal_removal,[],[f1795]) ).
fof(f1795,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_147
| ~ spl33_233 ),
inference(resolution,[],[f1774,f1154]) ).
fof(f1154,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_147 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f4883,plain,
( spl33_496
| ~ spl33_146
| ~ spl33_233 ),
inference(avatar_split_clause,[],[f1798,f1773,f1149,f4881]) ).
fof(f4881,plain,
( spl33_496
<=> ! [X0,X3,X2,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_496])]) ).
fof(f1149,plain,
( spl33_146
<=> ! [X4,X0,X3,X2,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_146])]) ).
fof(f1798,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2) )
| ~ spl33_146
| ~ spl33_233 ),
inference(duplicate_literal_removal,[],[f1796]) ).
fof(f1796,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X1),X2,X3,u1_vectsp_2(X0,X1)),X0)
| ~ v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ v1_funct_1(u1_vectsp_2(X0,X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_146
| ~ spl33_233 ),
inference(resolution,[],[f1774,f1150]) ).
fof(f1150,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_146 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f4872,plain,
( spl33_495
| ~ spl33_91
| ~ spl33_283 ),
inference(avatar_split_clause,[],[f2214,f2200,f804,f4870]) ).
fof(f4870,plain,
( spl33_495
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| l1_vectsp_2(k1_rmod_5(X1,X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_495])]) ).
fof(f2200,plain,
( spl33_283
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| sP2(X2,k1_rmod_5(X2,X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_283])]) ).
fof(f2214,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| l1_vectsp_2(k1_rmod_5(X1,X0,X2),X1) )
| ~ spl33_91
| ~ spl33_283 ),
inference(resolution,[],[f2201,f805]) ).
fof(f2201,plain,
( ! [X2,X0,X1] :
( sP2(X2,k1_rmod_5(X2,X1,X0))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ spl33_283 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f4868,plain,
( spl33_494
| ~ spl33_90
| ~ spl33_283 ),
inference(avatar_split_clause,[],[f2213,f2200,f800,f4866]) ).
fof(f4866,plain,
( spl33_494
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_vectsp_2(k1_rmod_5(X1,X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_494])]) ).
fof(f2213,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_vectsp_2(k1_rmod_5(X1,X0,X2),X1) )
| ~ spl33_90
| ~ spl33_283 ),
inference(resolution,[],[f2201,f801]) ).
fof(f4864,plain,
( spl33_493
| ~ spl33_148
| ~ spl33_223 ),
inference(avatar_split_clause,[],[f1708,f1681,f1162,f4862]) ).
fof(f4862,plain,
( spl33_493
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_493])]) ).
fof(f1708,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| ~ v3_struct_0(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)))
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) )
| ~ spl33_148
| ~ spl33_223 ),
inference(resolution,[],[f1682,f1163]) ).
fof(f4790,plain,
( spl33_492
| ~ spl33_74
| ~ spl33_283 ),
inference(avatar_split_clause,[],[f2212,f2200,f723,f4788]) ).
fof(f4788,plain,
( spl33_492
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v6_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_492])]) ).
fof(f2212,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v6_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl33_74
| ~ spl33_283 ),
inference(resolution,[],[f2201,f724]) ).
fof(f4786,plain,
( spl33_491
| ~ spl33_73
| ~ spl33_283 ),
inference(avatar_split_clause,[],[f2211,f2200,f719,f4784]) ).
fof(f4784,plain,
( spl33_491
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_491])]) ).
fof(f2211,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v5_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl33_73
| ~ spl33_283 ),
inference(resolution,[],[f2201,f720]) ).
fof(f4782,plain,
( spl33_490
| ~ spl33_72
| ~ spl33_283 ),
inference(avatar_split_clause,[],[f2210,f2200,f715,f4780]) ).
fof(f4780,plain,
( spl33_490
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v4_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_490])]) ).
fof(f2210,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v4_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl33_72
| ~ spl33_283 ),
inference(resolution,[],[f2201,f716]) ).
fof(f4778,plain,
( spl33_489
| ~ spl33_71
| ~ spl33_283 ),
inference(avatar_split_clause,[],[f2209,f2200,f711,f4776]) ).
fof(f4776,plain,
( spl33_489
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_rlvect_1(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_489])]) ).
fof(f2209,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_rlvect_1(k1_rmod_5(X1,X0,X2)) )
| ~ spl33_71
| ~ spl33_283 ),
inference(resolution,[],[f2201,f712]) ).
fof(f4774,plain,
( spl33_488
| ~ spl33_70
| ~ spl33_283 ),
inference(avatar_split_clause,[],[f2208,f2200,f707,f4772]) ).
fof(f4772,plain,
( spl33_488
<=> ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_struct_0(k1_rmod_5(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_488])]) ).
fof(f2208,plain,
( ! [X2,X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| v10_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_struct_0(k1_rmod_5(X1,X0,X2)) )
| ~ spl33_70
| ~ spl33_283 ),
inference(resolution,[],[f2201,f708]) ).
fof(f4770,plain,
( spl33_487
| ~ spl33_148
| ~ spl33_195 ),
inference(avatar_split_clause,[],[f1524,f1507,f1162,f4768]) ).
fof(f4768,plain,
( spl33_487
<=> ! [X0,X3,X2,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_487])]) ).
fof(f1524,plain,
( ! [X2,X3,X0,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) )
| ~ spl33_148
| ~ spl33_195 ),
inference(resolution,[],[f1508,f1163]) ).
fof(f4757,plain,
( spl33_486
| ~ spl33_91
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2194,f2185,f804,f4755]) ).
fof(f4755,plain,
( spl33_486
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| l1_vectsp_2(k2_rmod_3(X1,X2,X0,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_486])]) ).
fof(f2185,plain,
( spl33_281
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| sP2(X1,k2_rmod_3(X1,X2,X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_281])]) ).
fof(f2194,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| l1_vectsp_2(k2_rmod_3(X1,X2,X0,X3),X1) )
| ~ spl33_91
| ~ spl33_281 ),
inference(resolution,[],[f2186,f805]) ).
fof(f2186,plain,
( ! [X2,X3,X0,X1] :
( sP2(X1,k2_rmod_3(X1,X2,X3,X0))
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X0,X1,X2) )
| ~ spl33_281 ),
inference(avatar_component_clause,[],[f2185]) ).
fof(f4753,plain,
( spl33_485
| ~ spl33_90
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2193,f2185,f800,f4751]) ).
fof(f4751,plain,
( spl33_485
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v5_vectsp_2(k2_rmod_3(X1,X2,X0,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_485])]) ).
fof(f2193,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v5_vectsp_2(k2_rmod_3(X1,X2,X0,X3),X1) )
| ~ spl33_90
| ~ spl33_281 ),
inference(resolution,[],[f2186,f801]) ).
fof(f4749,plain,
( spl33_484
| ~ spl33_146
| ~ spl33_223 ),
inference(avatar_split_clause,[],[f1710,f1681,f1149,f4747]) ).
fof(f4747,plain,
( spl33_484
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_484])]) ).
fof(f1710,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| v3_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl33_146
| ~ spl33_223 ),
inference(resolution,[],[f1682,f1150]) ).
fof(f4745,plain,
( spl33_483
| ~ spl33_147
| ~ spl33_223 ),
inference(avatar_split_clause,[],[f1709,f1681,f1153,f4743]) ).
fof(f4743,plain,
( spl33_483
<=> ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_483])]) ).
fof(f1709,plain,
( ! [X2,X0,X1] :
( ~ l1_rlvect_1(X0)
| l1_vectsp_2(g1_vectsp_2(X0,u1_struct_0(X0),X1,X2,u1_rlvect_1(X0)),X0)
| ~ v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(u1_rlvect_1(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ v1_funct_1(X1)
| ~ l1_struct_0(X0) )
| ~ spl33_147
| ~ spl33_223 ),
inference(resolution,[],[f1682,f1154]) ).
fof(f4741,plain,
( spl33_482
| ~ spl33_146
| ~ spl33_195 ),
inference(avatar_split_clause,[],[f1526,f1507,f1149,f4739]) ).
fof(f4739,plain,
( spl33_482
<=> ! [X0,X3,X2,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_482])]) ).
fof(f1526,plain,
( ! [X2,X3,X0,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_146
| ~ spl33_195 ),
inference(resolution,[],[f1508,f1150]) ).
fof(f4737,plain,
( spl33_481
| ~ spl33_147
| ~ spl33_195 ),
inference(avatar_split_clause,[],[f1525,f1507,f1153,f4735]) ).
fof(f4735,plain,
( spl33_481
<=> ! [X0,X3,X2,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_481])]) ).
fof(f1525,plain,
( ! [X2,X3,X0,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK21(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_147
| ~ spl33_195 ),
inference(resolution,[],[f1508,f1154]) ).
fof(f4733,plain,
( spl33_480
| ~ spl33_74
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2192,f2185,f723,f4731]) ).
fof(f4731,plain,
( spl33_480
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v6_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_480])]) ).
fof(f2192,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v6_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) )
| ~ spl33_74
| ~ spl33_281 ),
inference(resolution,[],[f2186,f724]) ).
fof(f4729,plain,
( spl33_479
| ~ spl33_73
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2191,f2185,f719,f4727]) ).
fof(f4727,plain,
( spl33_479
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v5_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_479])]) ).
fof(f2191,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v5_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) )
| ~ spl33_73
| ~ spl33_281 ),
inference(resolution,[],[f2186,f720]) ).
fof(f4725,plain,
( spl33_478
| ~ spl33_72
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2190,f2185,f715,f4723]) ).
fof(f4723,plain,
( spl33_478
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v4_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_478])]) ).
fof(f2190,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v4_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) )
| ~ spl33_72
| ~ spl33_281 ),
inference(resolution,[],[f2186,f716]) ).
fof(f4721,plain,
( spl33_477
| ~ spl33_71
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2189,f2185,f711,f4719]) ).
fof(f4719,plain,
( spl33_477
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v3_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_477])]) ).
fof(f2189,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| v3_rlvect_1(k2_rmod_3(X1,X2,X0,X3)) )
| ~ spl33_71
| ~ spl33_281 ),
inference(resolution,[],[f2186,f712]) ).
fof(f4717,plain,
( spl33_476
| ~ spl33_70
| ~ spl33_281 ),
inference(avatar_split_clause,[],[f2188,f2185,f707,f4715]) ).
fof(f4715,plain,
( spl33_476
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v3_struct_0(k2_rmod_3(X1,X2,X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_476])]) ).
fof(f2188,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ v3_struct_0(k2_rmod_3(X1,X2,X0,X3)) )
| ~ spl33_70
| ~ spl33_281 ),
inference(resolution,[],[f2186,f708]) ).
fof(f4708,plain,
( spl33_475
| ~ spl33_91
| ~ spl33_271 ),
inference(avatar_split_clause,[],[f2134,f2125,f804,f4706]) ).
fof(f4706,plain,
( spl33_475
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ sP3(X1,X0)
| l1_vectsp_2(sK19(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_475])]) ).
fof(f2125,plain,
( spl33_271
<=> ! [X0,X1] :
( sP2(X0,sK19(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_271])]) ).
fof(f2134,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ sP3(X1,X0)
| l1_vectsp_2(sK19(X1,X0),X1) )
| ~ spl33_91
| ~ spl33_271 ),
inference(resolution,[],[f2126,f805]) ).
fof(f2126,plain,
( ! [X0,X1] :
( sP2(X0,sK19(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP3(X0,X1) )
| ~ spl33_271 ),
inference(avatar_component_clause,[],[f2125]) ).
fof(f4701,plain,
( spl33_474
| ~ spl33_87
| ~ spl33_276 ),
inference(avatar_split_clause,[],[f2161,f2157,f788,f4699]) ).
fof(f4699,plain,
( spl33_474
<=> ! [X0] :
( sP3(X0,sK15(X0))
| ~ v6_rlvect_1(sK15(X0))
| ~ v5_rlvect_1(sK15(X0))
| ~ v4_rlvect_1(sK15(X0))
| ~ v3_rlvect_1(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_474])]) ).
fof(f788,plain,
( spl33_87
<=> ! [X0] :
( v5_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_87])]) ).
fof(f2157,plain,
( spl33_276
<=> ! [X0] :
( sP3(X0,sK15(X0))
| ~ v5_vectsp_2(sK15(X0),X0)
| ~ v6_rlvect_1(sK15(X0))
| ~ v5_rlvect_1(sK15(X0))
| ~ v4_rlvect_1(sK15(X0))
| ~ v3_rlvect_1(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_276])]) ).
fof(f2161,plain,
( ! [X0] :
( sP3(X0,sK15(X0))
| ~ v6_rlvect_1(sK15(X0))
| ~ v5_rlvect_1(sK15(X0))
| ~ v4_rlvect_1(sK15(X0))
| ~ v3_rlvect_1(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_87
| ~ spl33_276 ),
inference(duplicate_literal_removal,[],[f2160]) ).
fof(f2160,plain,
( ! [X0] :
( sP3(X0,sK15(X0))
| ~ v6_rlvect_1(sK15(X0))
| ~ v5_rlvect_1(sK15(X0))
| ~ v4_rlvect_1(sK15(X0))
| ~ v3_rlvect_1(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0)
| ~ sP1(X0) )
| ~ spl33_87
| ~ spl33_276 ),
inference(resolution,[],[f2158,f789]) ).
fof(f789,plain,
( ! [X0] :
( v5_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) )
| ~ spl33_87 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f2158,plain,
( ! [X0] :
( ~ v5_vectsp_2(sK15(X0),X0)
| sP3(X0,sK15(X0))
| ~ v6_rlvect_1(sK15(X0))
| ~ v5_rlvect_1(sK15(X0))
| ~ v4_rlvect_1(sK15(X0))
| ~ v3_rlvect_1(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_276 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f4697,plain,
( spl33_473
| ~ spl33_91
| ~ spl33_270 ),
inference(avatar_split_clause,[],[f2123,f2114,f804,f4695]) ).
fof(f4695,plain,
( spl33_473
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| l1_vectsp_2(sK18(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_473])]) ).
fof(f2114,plain,
( spl33_270
<=> ! [X0,X1] :
( sP2(X0,sK18(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_270])]) ).
fof(f2123,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| l1_vectsp_2(sK18(X1,X0),X1) )
| ~ spl33_91
| ~ spl33_270 ),
inference(resolution,[],[f2115,f805]) ).
fof(f2115,plain,
( ! [X0,X1] :
( sP2(X0,sK18(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_270 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f4693,plain,
( spl33_472
| ~ spl33_90
| ~ spl33_270 ),
inference(avatar_split_clause,[],[f2122,f2114,f800,f4691]) ).
fof(f4691,plain,
( spl33_472
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_vectsp_2(sK18(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_472])]) ).
fof(f2122,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_vectsp_2(sK18(X1,X0),X1) )
| ~ spl33_90
| ~ spl33_270 ),
inference(resolution,[],[f2115,f801]) ).
fof(f4689,plain,
( spl33_471
| ~ spl33_74
| ~ spl33_270 ),
inference(avatar_split_clause,[],[f2121,f2114,f723,f4687]) ).
fof(f4687,plain,
( spl33_471
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v6_rlvect_1(sK18(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_471])]) ).
fof(f2121,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v6_rlvect_1(sK18(X1,X0)) )
| ~ spl33_74
| ~ spl33_270 ),
inference(resolution,[],[f2115,f724]) ).
fof(f4685,plain,
( spl33_470
| ~ spl33_73
| ~ spl33_270 ),
inference(avatar_split_clause,[],[f2120,f2114,f719,f4683]) ).
fof(f4683,plain,
( spl33_470
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_rlvect_1(sK18(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_470])]) ).
fof(f2120,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v5_rlvect_1(sK18(X1,X0)) )
| ~ spl33_73
| ~ spl33_270 ),
inference(resolution,[],[f2115,f720]) ).
fof(f4681,plain,
( spl33_469
| ~ spl33_72
| ~ spl33_270 ),
inference(avatar_split_clause,[],[f2119,f2114,f715,f4679]) ).
fof(f4679,plain,
( spl33_469
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v4_rlvect_1(sK18(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_469])]) ).
fof(f2119,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v4_rlvect_1(sK18(X1,X0)) )
| ~ spl33_72
| ~ spl33_270 ),
inference(resolution,[],[f2115,f716]) ).
fof(f4677,plain,
( spl33_468
| ~ spl33_71
| ~ spl33_270 ),
inference(avatar_split_clause,[],[f2118,f2114,f711,f4675]) ).
fof(f4675,plain,
( spl33_468
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v3_rlvect_1(sK18(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_468])]) ).
fof(f2118,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| v3_rlvect_1(sK18(X1,X0)) )
| ~ spl33_71
| ~ spl33_270 ),
inference(resolution,[],[f2115,f712]) ).
fof(f4673,plain,
( spl33_467
| ~ spl33_70
| ~ spl33_270 ),
inference(avatar_split_clause,[],[f2117,f2114,f707,f4671]) ).
fof(f4671,plain,
( spl33_467
<=> ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(sK18(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_467])]) ).
fof(f2117,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ v5_vectsp_2(X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v3_struct_0(sK18(X1,X0)) )
| ~ spl33_70
| ~ spl33_270 ),
inference(resolution,[],[f2115,f708]) ).
fof(f4647,plain,
( spl33_466
| ~ spl33_123
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2106,f2096,f985,f4645]) ).
fof(f4645,plain,
( spl33_466
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k5_subset_1(k2_zfmisc_1(X1,X2),X0,k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4)) = k5_subset_1(k2_zfmisc_1(X1,X2),k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4),X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_466])]) ).
fof(f985,plain,
( spl33_123
<=> ! [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,[spl33_123])]) ).
fof(f2096,plain,
( spl33_268
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(X0,X1,k5_subset_1(X0,X2,X3)) = k5_subset_1(X0,k5_subset_1(X0,X2,X3),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_268])]) ).
fof(f2106,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k5_subset_1(k2_zfmisc_1(X1,X2),X0,k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4)) = k5_subset_1(k2_zfmisc_1(X1,X2),k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4),X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl33_123
| ~ spl33_268 ),
inference(resolution,[],[f2097,f986]) ).
fof(f986,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f2097,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,k5_subset_1(X0,X2,X3)) = k5_subset_1(X0,k5_subset_1(X0,X2,X3),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl33_268 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f4643,plain,
( spl33_465
| ~ spl33_134
| ~ spl33_263 ),
inference(avatar_split_clause,[],[f2054,f2048,f1059,f4641]) ).
fof(f4641,plain,
( spl33_465
<=> ! [X4,X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3),X4) = k5_subset_1(k2_zfmisc_1(X0,X1),X4,k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_465])]) ).
fof(f1059,plain,
( spl33_134
<=> ! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_134])]) ).
fof(f2048,plain,
( spl33_263
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k5_subset_1(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_263])]) ).
fof(f2054,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_subset_1(k2_zfmisc_1(X0,X1),k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3),X4) = k5_subset_1(k2_zfmisc_1(X0,X1),X4,k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl33_134
| ~ spl33_263 ),
inference(resolution,[],[f2049,f1060]) ).
fof(f1060,plain,
( ! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f2049,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k5_subset_1(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl33_263 ),
inference(avatar_component_clause,[],[f2048]) ).
fof(f4625,plain,
( spl33_464
| ~ spl33_134
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2101,f2096,f1059,f4623]) ).
fof(f4623,plain,
( spl33_464
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4))) = k5_subset_1(X1,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_464])]) ).
fof(f2101,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4))) = k5_subset_1(X1,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ spl33_134
| ~ spl33_268 ),
inference(resolution,[],[f2097,f1060]) ).
fof(f4585,plain,
( spl33_463
| ~ spl33_123
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2083,f2065,f985,f4583]) ).
fof(f4583,plain,
( spl33_463
<=> ! [X4,X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k5_subset_1(k2_zfmisc_1(X1,X2),X0,k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4)) = k3_xboole_0(X0,k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X4,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_463])]) ).
fof(f2065,plain,
( spl33_265
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(X0,X1,k5_subset_1(X0,X2,X3)) = k3_xboole_0(X1,k5_subset_1(X0,X2,X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_265])]) ).
fof(f2083,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| k5_subset_1(k2_zfmisc_1(X1,X2),X0,k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4)) = k3_xboole_0(X0,k5_subset_1(k2_zfmisc_1(X1,X2),X3,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X4,X1,X2) )
| ~ spl33_123
| ~ spl33_265 ),
inference(resolution,[],[f2066,f986]) ).
fof(f2066,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,k5_subset_1(X0,X2,X3)) = k3_xboole_0(X1,k5_subset_1(X0,X2,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl33_265 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f4581,plain,
( spl33_462
| ~ spl33_134
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2078,f2065,f1059,f4579]) ).
fof(f4579,plain,
( spl33_462
<=> ! [X2,X4,X0,X3,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4))) = k3_xboole_0(X0,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_462])]) ).
fof(f2078,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4))) = k3_xboole_0(X0,k5_subset_1(X1,X2,k5_subset_1(X1,X3,X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X4,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ spl33_134
| ~ spl33_265 ),
inference(resolution,[],[f2066,f1060]) ).
fof(f4577,plain,
( spl33_461
| ~ spl33_134
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f1969,f1900,f1059,f4575]) ).
fof(f4575,plain,
( spl33_461
<=> ! [X4,X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3),X4) = k3_xboole_0(k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3),X4)
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_461])]) ).
fof(f1900,plain,
( spl33_243
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X3,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_243])]) ).
fof(f1969,plain,
( ! [X2,X3,X0,X1,X4] :
( k5_subset_1(k2_zfmisc_1(X0,X1),k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3),X4) = k3_xboole_0(k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3),X4)
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl33_134
| ~ spl33_243 ),
inference(resolution,[],[f1901,f1060]) ).
fof(f1901,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl33_243 ),
inference(avatar_component_clause,[],[f1900]) ).
fof(f4543,plain,
( spl33_460
| ~ spl33_122
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2105,f2096,f981,f4541]) ).
fof(f4541,plain,
( spl33_460
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| k5_subset_1(u1_struct_0(X1),X0,k5_subset_1(u1_struct_0(X1),X2,sK13(X1))) = k5_subset_1(u1_struct_0(X1),k5_subset_1(u1_struct_0(X1),X2,sK13(X1)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_460])]) ).
fof(f981,plain,
( spl33_122
<=> ! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_122])]) ).
fof(f2105,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| k5_subset_1(u1_struct_0(X1),X0,k5_subset_1(u1_struct_0(X1),X2,sK13(X1))) = k5_subset_1(u1_struct_0(X1),k5_subset_1(u1_struct_0(X1),X2,sK13(X1)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl33_122
| ~ spl33_268 ),
inference(resolution,[],[f2097,f982]) ).
fof(f982,plain,
( ! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f4539,plain,
( spl33_459
| ~ spl33_74
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f3294,f3286,f723,f4536]) ).
fof(f4536,plain,
( spl33_459
<=> v6_rlvect_1(k1_rmod_5(sK5,sK6,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_459])]) ).
fof(f3294,plain,
( v6_rlvect_1(k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_74
| ~ spl33_370 ),
inference(resolution,[],[f3288,f724]) ).
fof(f4534,plain,
( spl33_458
| ~ spl33_134
| ~ spl33_254 ),
inference(avatar_split_clause,[],[f1993,f1985,f1059,f4532]) ).
fof(f4532,plain,
( spl33_458
<=> ! [X2,X0,X1] :
( k5_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),X1,X2),sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK13(X0),k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_458])]) ).
fof(f1985,plain,
( spl33_254
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK13(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_254])]) ).
fof(f1993,plain,
( ! [X2,X0,X1] :
( k5_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),X1,X2),sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK13(X0),k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl33_134
| ~ spl33_254 ),
inference(resolution,[],[f1986,f1060]) ).
fof(f1986,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK13(X0),X1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_254 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f4500,plain,
( spl33_457
| ~ spl33_122
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2082,f2065,f981,f4498]) ).
fof(f4498,plain,
( spl33_457
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| k5_subset_1(u1_struct_0(X1),X0,k5_subset_1(u1_struct_0(X1),X2,sK13(X1))) = k3_xboole_0(X0,k5_subset_1(u1_struct_0(X1),X2,sK13(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_457])]) ).
fof(f2082,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| k5_subset_1(u1_struct_0(X1),X0,k5_subset_1(u1_struct_0(X1),X2,sK13(X1))) = k3_xboole_0(X0,k5_subset_1(u1_struct_0(X1),X2,sK13(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl33_122
| ~ spl33_265 ),
inference(resolution,[],[f2066,f982]) ).
fof(f4496,plain,
( spl33_456
| ~ spl33_100
| ~ spl33_134
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f1964,f1896,f1059,f843,f4494]) ).
fof(f4494,plain,
( spl33_456
<=> ! [X2,X0,X1] :
( k5_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),X1,X2),sK13(X0)) = k3_xboole_0(sK13(X0),k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_456])]) ).
fof(f1896,plain,
( spl33_242
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k3_xboole_0(X1,sK13(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_242])]) ).
fof(f1964,plain,
( ! [X2,X0,X1] :
( k5_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),X1,X2),sK13(X0)) = k3_xboole_0(sK13(X0),k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl33_100
| ~ spl33_134
| ~ spl33_242 ),
inference(forward_demodulation,[],[f1954,f844]) ).
fof(f1954,plain,
( ! [X2,X0,X1] :
( k5_subset_1(u1_struct_0(X0),k5_subset_1(u1_struct_0(X0),X1,X2),sK13(X0)) = k3_xboole_0(k5_subset_1(u1_struct_0(X0),X1,X2),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl33_134
| ~ spl33_242 ),
inference(resolution,[],[f1897,f1060]) ).
fof(f1897,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k3_xboole_0(X1,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_242 ),
inference(avatar_component_clause,[],[f1896]) ).
fof(f4423,plain,
( spl33_455
| ~ spl33_73
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f3293,f3286,f719,f4420]) ).
fof(f4420,plain,
( spl33_455
<=> v5_rlvect_1(k1_rmod_5(sK5,sK6,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_455])]) ).
fof(f3293,plain,
( v5_rlvect_1(k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_73
| ~ spl33_370 ),
inference(resolution,[],[f3288,f720]) ).
fof(f4418,plain,
( spl33_454
| ~ spl33_48
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2107,f2096,f605,f4416]) ).
fof(f4416,plain,
( spl33_454
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1)))) = k5_subset_1(X1,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1))),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_454])]) ).
fof(f605,plain,
( spl33_48
<=> ! [X0] : m1_subset_1(sK16(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_48])]) ).
fof(f2107,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1)))) = k5_subset_1(X1,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1))),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| ~ spl33_48
| ~ spl33_268 ),
inference(resolution,[],[f2097,f606]) ).
fof(f606,plain,
( ! [X0] : m1_subset_1(sK16(X0),X0)
| ~ spl33_48 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f4414,plain,
( spl33_453
| ~ spl33_94
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2100,f2096,f818,f4412]) ).
fof(f4412,plain,
( spl33_453
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK9(X1))) = k5_subset_1(X1,k5_subset_1(X1,X2,sK9(X1)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_453])]) ).
fof(f818,plain,
( spl33_94
<=> ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_94])]) ).
fof(f2100,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK9(X1))) = k5_subset_1(X1,k5_subset_1(X1,X2,sK9(X1)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl33_94
| ~ spl33_268 ),
inference(resolution,[],[f2097,f819]) ).
fof(f819,plain,
( ! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl33_94 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f4410,plain,
( spl33_452
| ~ spl33_134
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f1875,f1850,f1059,f4408]) ).
fof(f4408,plain,
( spl33_452
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_452])]) ).
fof(f1850,plain,
( spl33_240
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_240])]) ).
fof(f1875,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_240 ),
inference(resolution,[],[f1851,f1060]) ).
fof(f1851,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),X1) )
| ~ spl33_240 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f4406,plain,
( spl33_451
| ~ spl33_123
| ~ spl33_239 ),
inference(avatar_split_clause,[],[f1869,f1846,f985,f4404]) ).
fof(f4404,plain,
( spl33_451
<=> ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK9(k2_zfmisc_1(X0,X1))) = k5_subset_1(k2_zfmisc_1(X0,X1),sK9(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_451])]) ).
fof(f1846,plain,
( spl33_239
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k5_subset_1(X0,sK9(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_239])]) ).
fof(f1869,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK9(k2_zfmisc_1(X0,X1))) = k5_subset_1(k2_zfmisc_1(X0,X1),sK9(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_239 ),
inference(resolution,[],[f1847,f986]) ).
fof(f1847,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,sK9(X0)) = k5_subset_1(X0,sK9(X0),X1)
| v1_xboole_0(X0) )
| ~ spl33_239 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f4402,plain,
( spl33_450
| ~ spl33_134
| ~ spl33_239 ),
inference(avatar_split_clause,[],[f1864,f1846,f1059,f4400]) ).
fof(f4400,plain,
( spl33_450
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK9(X0)) = k5_subset_1(X0,sK9(X0),k5_subset_1(X0,X1,X2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_450])]) ).
fof(f1864,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK9(X0)) = k5_subset_1(X0,sK9(X0),k5_subset_1(X0,X1,X2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_239 ),
inference(resolution,[],[f1847,f1060]) ).
fof(f4318,plain,
( spl33_449
| ~ spl33_72
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f3292,f3286,f715,f4315]) ).
fof(f4315,plain,
( spl33_449
<=> v4_rlvect_1(k1_rmod_5(sK5,sK6,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_449])]) ).
fof(f3292,plain,
( v4_rlvect_1(k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_72
| ~ spl33_370 ),
inference(resolution,[],[f3288,f716]) ).
fof(f4298,plain,
( spl33_448
| ~ spl33_107
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2102,f2096,f871,f4296]) ).
fof(f4296,plain,
( spl33_448
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,X3)) = k5_subset_1(X1,k5_subset_1(X1,X2,X3),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_448])]) ).
fof(f2102,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,X3)) = k5_subset_1(X1,k5_subset_1(X1,X2,X3),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X3,X1) )
| ~ spl33_107
| ~ spl33_268 ),
inference(resolution,[],[f2097,f872]) ).
fof(f4294,plain,
( spl33_447
| ~ spl33_48
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2084,f2065,f605,f4292]) ).
fof(f4292,plain,
( spl33_447
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1)))) = k3_xboole_0(X0,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_447])]) ).
fof(f2084,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1)))) = k3_xboole_0(X0,k5_subset_1(X1,X2,sK16(k1_zfmisc_1(X1))))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| ~ spl33_48
| ~ spl33_265 ),
inference(resolution,[],[f2066,f606]) ).
fof(f4290,plain,
( spl33_446
| ~ spl33_94
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2077,f2065,f818,f4288]) ).
fof(f4288,plain,
( spl33_446
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK9(X1))) = k3_xboole_0(X0,k5_subset_1(X1,X2,sK9(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_446])]) ).
fof(f2077,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK9(X1))) = k3_xboole_0(X0,k5_subset_1(X1,X2,sK9(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) )
| ~ spl33_94
| ~ spl33_265 ),
inference(resolution,[],[f2066,f819]) ).
fof(f4286,plain,
( spl33_445
| ~ spl33_134
| ~ spl33_237 ),
inference(avatar_split_clause,[],[f1833,f1790,f1059,f4284]) ).
fof(f4284,plain,
( spl33_445
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),X3) = k5_subset_1(X0,X3,k5_subset_1(X0,X1,X2))
| ~ r1_tarski(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_445])]) ).
fof(f1790,plain,
( spl33_237
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_237])]) ).
fof(f1833,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),X3) = k5_subset_1(X0,X3,k5_subset_1(X0,X1,X2))
| ~ r1_tarski(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_237 ),
inference(resolution,[],[f1791,f1060]) ).
fof(f1791,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ r1_tarski(X2,X0) )
| ~ spl33_237 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f4282,plain,
( spl33_444
| ~ spl33_100
| ~ spl33_134
| ~ spl33_236 ),
inference(avatar_split_clause,[],[f1829,f1786,f1059,f843,f4280]) ).
fof(f4280,plain,
( spl33_444
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK16(k1_zfmisc_1(X0))) = k3_xboole_0(sK16(k1_zfmisc_1(X0)),k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_444])]) ).
fof(f1786,plain,
( spl33_236
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k3_xboole_0(X1,sK16(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_236])]) ).
fof(f1829,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK16(k1_zfmisc_1(X0))) = k3_xboole_0(sK16(k1_zfmisc_1(X0)),k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_100
| ~ spl33_134
| ~ spl33_236 ),
inference(forward_demodulation,[],[f1820,f844]) ).
fof(f1820,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK16(k1_zfmisc_1(X0))) = k3_xboole_0(k5_subset_1(X0,X1,X2),sK16(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_236 ),
inference(resolution,[],[f1787,f1060]) ).
fof(f1787,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k3_xboole_0(X1,sK16(k1_zfmisc_1(X0))) )
| ~ spl33_236 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f4278,plain,
( spl33_443
| ~ spl33_100
| ~ spl33_134
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1816,f1777,f1059,f843,f4276]) ).
fof(f4276,plain,
( spl33_443
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK9(X0)) = k3_xboole_0(sK9(X0),k5_subset_1(X0,X1,X2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_443])]) ).
fof(f1777,plain,
( spl33_234
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k3_xboole_0(X1,sK9(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_234])]) ).
fof(f1816,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK9(X0)) = k3_xboole_0(sK9(X0),k5_subset_1(X0,X1,X2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_100
| ~ spl33_134
| ~ spl33_234 ),
inference(forward_demodulation,[],[f1803,f844]) ).
fof(f1803,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK9(X0)) = k3_xboole_0(k5_subset_1(X0,X1,X2),sK9(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_234 ),
inference(resolution,[],[f1778,f1060]) ).
fof(f1778,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,sK9(X0)) = k3_xboole_0(X1,sK9(X0))
| v1_xboole_0(X0) )
| ~ spl33_234 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f4240,plain,
( spl33_442
| ~ spl33_71
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f3291,f3286,f711,f4237]) ).
fof(f4237,plain,
( spl33_442
<=> v3_rlvect_1(k1_rmod_5(sK5,sK6,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_442])]) ).
fof(f3291,plain,
( v3_rlvect_1(k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_71
| ~ spl33_370 ),
inference(resolution,[],[f3288,f712]) ).
fof(f4235,plain,
( spl33_441
| ~ spl33_107
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2079,f2065,f871,f4233]) ).
fof(f4233,plain,
( spl33_441
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,X3)) = k3_xboole_0(X0,k5_subset_1(X1,X2,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_441])]) ).
fof(f2079,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,X3)) = k3_xboole_0(X0,k5_subset_1(X1,X2,X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r1_tarski(X3,X1) )
| ~ spl33_107
| ~ spl33_265 ),
inference(resolution,[],[f2066,f872]) ).
fof(f4231,plain,
( spl33_440
| ~ spl33_123
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f1880,f1850,f985,f4229]) ).
fof(f4229,plain,
( spl33_440
<=> ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k5_subset_1(k2_zfmisc_1(X0,X1),sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_440])]) ).
fof(f1880,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k5_subset_1(k2_zfmisc_1(X0,X1),sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_240 ),
inference(resolution,[],[f1851,f986]) ).
fof(f4227,plain,
( spl33_439
| ~ spl33_134
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1759,f1751,f1059,f4225]) ).
fof(f4225,plain,
( spl33_439
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),X3) = k3_xboole_0(k5_subset_1(X0,X1,X2),X3)
| ~ r1_tarski(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_439])]) ).
fof(f1751,plain,
( spl33_231
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_231])]) ).
fof(f1759,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),X3) = k3_xboole_0(k5_subset_1(X0,X1,X2),X3)
| ~ r1_tarski(X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_231 ),
inference(resolution,[],[f1752,f1060]) ).
fof(f1752,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl33_231 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f4206,plain,
( spl33_438
| ~ spl33_94
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f1968,f1900,f818,f4204]) ).
fof(f4204,plain,
( spl33_438
<=> ! [X2,X0,X1] :
( k3_xboole_0(sK9(k2_zfmisc_1(X0,X1)),X2) = k5_subset_1(k2_zfmisc_1(X0,X1),sK9(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_438])]) ).
fof(f1968,plain,
( ! [X2,X0,X1] :
( k3_xboole_0(sK9(k2_zfmisc_1(X0,X1)),X2) = k5_subset_1(k2_zfmisc_1(X0,X1),sK9(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl33_94
| ~ spl33_243 ),
inference(resolution,[],[f1901,f819]) ).
fof(f4202,plain,
( spl33_437
| ~ spl33_122
| ~ spl33_239 ),
inference(avatar_split_clause,[],[f1868,f1846,f981,f4200]) ).
fof(f4200,plain,
( spl33_437
<=> ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK9(u1_struct_0(X0))) = k5_subset_1(u1_struct_0(X0),sK9(u1_struct_0(X0)),sK13(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_437])]) ).
fof(f1868,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK9(u1_struct_0(X0))) = k5_subset_1(u1_struct_0(X0),sK9(u1_struct_0(X0)),sK13(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_239 ),
inference(resolution,[],[f1847,f982]) ).
fof(f4198,plain,
( spl33_436
| ~ spl33_123
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1808,f1777,f985,f4196]) ).
fof(f4196,plain,
( spl33_436
<=> ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK9(k2_zfmisc_1(X0,X1))) = k3_xboole_0(X2,sK9(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_436])]) ).
fof(f1808,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK9(k2_zfmisc_1(X0,X1))) = k3_xboole_0(X2,sK9(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_234 ),
inference(resolution,[],[f1778,f986]) ).
fof(f4175,plain,
( ~ spl33_435
| ~ spl33_70
| ~ spl33_370 ),
inference(avatar_split_clause,[],[f3290,f3286,f707,f4172]) ).
fof(f4172,plain,
( spl33_435
<=> v3_struct_0(k1_rmod_5(sK5,sK6,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_435])]) ).
fof(f3290,plain,
( ~ v3_struct_0(k1_rmod_5(sK5,sK6,sK30))
| ~ spl33_70
| ~ spl33_370 ),
inference(resolution,[],[f3288,f708]) ).
fof(f4132,plain,
( spl33_434
| ~ spl33_67
| ~ spl33_181
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2108,f2096,f1405,f695,f4130]) ).
fof(f4130,plain,
( spl33_434
<=> ! [X2,X0,X1] :
( k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK30)) = k5_subset_1(X1,k5_subset_1(X1,X2,sK30),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_434])]) ).
fof(f695,plain,
( spl33_67
<=> ! [X0] : m1_subset_1(sK17(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_67])]) ).
fof(f1405,plain,
( spl33_181
<=> ! [X0] : sK17(X0) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_181])]) ).
fof(f2108,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK30)) = k5_subset_1(X1,k5_subset_1(X1,X2,sK30),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| ~ spl33_67
| ~ spl33_181
| ~ spl33_268 ),
inference(forward_demodulation,[],[f2099,f1406]) ).
fof(f1406,plain,
( ! [X0] : sK17(X0) = sK30
| ~ spl33_181 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f2099,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK17(X1))) = k5_subset_1(X1,k5_subset_1(X1,X2,sK17(X1)),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| ~ spl33_67
| ~ spl33_268 ),
inference(resolution,[],[f2097,f696]) ).
fof(f696,plain,
( ! [X0] : m1_subset_1(sK17(X0),k1_zfmisc_1(X0))
| ~ spl33_67 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f4128,plain,
( spl33_433
| ~ spl33_122
| ~ spl33_240 ),
inference(avatar_split_clause,[],[f1879,f1850,f981,f4126]) ).
fof(f4126,plain,
( spl33_433
<=> ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0)))) = k5_subset_1(u1_struct_0(X0),sK16(k1_zfmisc_1(u1_struct_0(X0))),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_433])]) ).
fof(f1879,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0)))) = k5_subset_1(u1_struct_0(X0),sK16(k1_zfmisc_1(u1_struct_0(X0))),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_240 ),
inference(resolution,[],[f1851,f982]) ).
fof(f4124,plain,
( spl33_432
| ~ spl33_134
| ~ spl33_226 ),
inference(avatar_split_clause,[],[f1718,f1713,f1059,f4122]) ).
fof(f4122,plain,
( spl33_432
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK30) = k5_subset_1(X0,sK30,k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_432])]) ).
fof(f1713,plain,
( spl33_226
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK30) = k5_subset_1(X0,sK30,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_226])]) ).
fof(f1718,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK30) = k5_subset_1(X0,sK30,k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_226 ),
inference(resolution,[],[f1714,f1060]) ).
fof(f1714,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,sK30) = k5_subset_1(X0,sK30,X1) )
| ~ spl33_226 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f4120,plain,
( spl33_431
| ~ spl33_134
| ~ spl33_218 ),
inference(avatar_split_clause,[],[f1655,f1641,f1059,f4118]) ).
fof(f4118,plain,
( spl33_431
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,k5_subset_1(X0,X1,X2),k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_431])]) ).
fof(f1641,plain,
( spl33_218
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_218])]) ).
fof(f1655,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,k5_subset_1(X0,X1,X2),k5_subset_1(X0,X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_218 ),
inference(resolution,[],[f1642,f1060]) ).
fof(f1642,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1 )
| ~ spl33_218 ),
inference(avatar_component_clause,[],[f1641]) ).
fof(f4090,plain,
( spl33_430
| ~ spl33_74
| ~ spl33_368 ),
inference(avatar_split_clause,[],[f3273,f3265,f723,f4087]) ).
fof(f4087,plain,
( spl33_430
<=> v6_rlvect_1(k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_430])]) ).
fof(f3273,plain,
( v6_rlvect_1(k1_rmod_5(sK5,sK6,sK8))
| ~ spl33_74
| ~ spl33_368 ),
inference(resolution,[],[f3267,f724]) ).
fof(f4055,plain,
( spl33_429
| ~ spl33_85
| ~ spl33_267 ),
inference(avatar_split_clause,[],[f2094,f2073,f780,f4053]) ).
fof(f4053,plain,
( spl33_429
<=> ! [X0] :
( sK15(X0) = g1_vectsp_2(X0,u1_struct_0(sK15(X0)),u1_rlvect_1(sK15(X0)),u2_struct_0(sK15(X0)),u1_vectsp_2(X0,sK15(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_429])]) ).
fof(f780,plain,
( spl33_85
<=> ! [X0] :
( l1_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_85])]) ).
fof(f2073,plain,
( spl33_267
<=> ! [X0] :
( sK15(X0) = g1_vectsp_2(X0,u1_struct_0(sK15(X0)),u1_rlvect_1(sK15(X0)),u2_struct_0(sK15(X0)),u1_vectsp_2(X0,sK15(X0)))
| ~ l1_vectsp_2(sK15(X0),X0)
| ~ l1_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_267])]) ).
fof(f2094,plain,
( ! [X0] :
( sK15(X0) = g1_vectsp_2(X0,u1_struct_0(sK15(X0)),u1_rlvect_1(sK15(X0)),u2_struct_0(sK15(X0)),u1_vectsp_2(X0,sK15(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_85
| ~ spl33_267 ),
inference(duplicate_literal_removal,[],[f2093]) ).
fof(f2093,plain,
( ! [X0] :
( sK15(X0) = g1_vectsp_2(X0,u1_struct_0(sK15(X0)),u1_rlvect_1(sK15(X0)),u2_struct_0(sK15(X0)),u1_vectsp_2(X0,sK15(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0)
| ~ sP1(X0) )
| ~ spl33_85
| ~ spl33_267 ),
inference(resolution,[],[f2074,f781]) ).
fof(f781,plain,
( ! [X0] :
( l1_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) )
| ~ spl33_85 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f2074,plain,
( ! [X0] :
( ~ l1_vectsp_2(sK15(X0),X0)
| sK15(X0) = g1_vectsp_2(X0,u1_struct_0(sK15(X0)),u1_rlvect_1(sK15(X0)),u2_struct_0(sK15(X0)),u1_vectsp_2(X0,sK15(X0)))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_267 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f4051,plain,
( spl33_428
| ~ spl33_83
| ~ spl33_266 ),
inference(avatar_split_clause,[],[f2087,f2069,f772,f4049]) ).
fof(f4049,plain,
( spl33_428
<=> ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_428])]) ).
fof(f772,plain,
( spl33_83
<=> ! [X0] :
( l1_vectsp_2(sK14(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_83])]) ).
fof(f2069,plain,
( spl33_266
<=> ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_vectsp_2(sK14(X0),X0)
| ~ l1_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_266])]) ).
fof(f2087,plain,
( ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl33_83
| ~ spl33_266 ),
inference(duplicate_literal_removal,[],[f2086]) ).
fof(f2086,plain,
( ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0)
| ~ sP0(X0) )
| ~ spl33_83
| ~ spl33_266 ),
inference(resolution,[],[f2070,f773]) ).
fof(f773,plain,
( ! [X0] :
( l1_vectsp_2(sK14(X0),X0)
| ~ sP0(X0) )
| ~ spl33_83 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f2070,plain,
( ! [X0] :
( ~ l1_vectsp_2(sK14(X0),X0)
| sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl33_266 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f4047,plain,
( spl33_427
| ~ spl33_67
| ~ spl33_181
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2085,f2065,f1405,f695,f4045]) ).
fof(f4045,plain,
( spl33_427
<=> ! [X2,X0,X1] :
( k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK30)) = k3_xboole_0(X0,k5_subset_1(X1,X2,sK30))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_427])]) ).
fof(f2085,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK30)) = k3_xboole_0(X0,k5_subset_1(X1,X2,sK30))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| ~ spl33_67
| ~ spl33_181
| ~ spl33_265 ),
inference(forward_demodulation,[],[f2076,f1406]) ).
fof(f2076,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| k5_subset_1(X1,X0,k5_subset_1(X1,X2,sK17(X1))) = k3_xboole_0(X0,k5_subset_1(X1,X2,sK17(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) )
| ~ spl33_67
| ~ spl33_265 ),
inference(resolution,[],[f2066,f696]) ).
fof(f4043,plain,
( spl33_426
| ~ spl33_48
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f1971,f1900,f605,f4041]) ).
fof(f4041,plain,
( spl33_426
<=> ! [X2,X0,X1] :
( k3_xboole_0(sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) = k5_subset_1(k2_zfmisc_1(X0,X1),sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_426])]) ).
fof(f1971,plain,
( ! [X2,X0,X1] :
( k3_xboole_0(sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2) = k5_subset_1(k2_zfmisc_1(X0,X1),sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X2)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_48
| ~ spl33_243 ),
inference(resolution,[],[f1901,f606]) ).
fof(f4039,plain,
( spl33_425
| ~ spl33_94
| ~ spl33_100
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f1963,f1896,f843,f818,f4037]) ).
fof(f4037,plain,
( spl33_425
<=> ! [X0] :
( k3_xboole_0(sK13(X0),sK9(u1_struct_0(X0))) = k5_subset_1(u1_struct_0(X0),sK9(u1_struct_0(X0)),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_425])]) ).
fof(f1963,plain,
( ! [X0] :
( k3_xboole_0(sK13(X0),sK9(u1_struct_0(X0))) = k5_subset_1(u1_struct_0(X0),sK9(u1_struct_0(X0)),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl33_94
| ~ spl33_100
| ~ spl33_242 ),
inference(forward_demodulation,[],[f1953,f844]) ).
fof(f1953,plain,
( ! [X0] :
( k3_xboole_0(sK9(u1_struct_0(X0)),sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK9(u1_struct_0(X0)),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl33_94
| ~ spl33_242 ),
inference(resolution,[],[f1897,f819]) ).
fof(f4035,plain,
( spl33_424
| ~ spl33_73
| ~ spl33_368 ),
inference(avatar_split_clause,[],[f3272,f3265,f719,f4032]) ).
fof(f4032,plain,
( spl33_424
<=> v5_rlvect_1(k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_424])]) ).
fof(f3272,plain,
( v5_rlvect_1(k1_rmod_5(sK5,sK6,sK8))
| ~ spl33_73
| ~ spl33_368 ),
inference(resolution,[],[f3267,f720]) ).
fof(f4030,plain,
( spl33_423
| ~ spl33_123
| ~ spl33_237 ),
inference(avatar_split_clause,[],[f1838,f1790,f985,f4028]) ).
fof(f4028,plain,
( spl33_423
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k5_subset_1(k2_zfmisc_1(X0,X1),X3,X2)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_423])]) ).
fof(f1838,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k5_subset_1(k2_zfmisc_1(X0,X1),X3,X2)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_237 ),
inference(resolution,[],[f1791,f986]) ).
fof(f4026,plain,
( spl33_422
| ~ spl33_123
| ~ spl33_236 ),
inference(avatar_split_clause,[],[f1825,f1786,f985,f4024]) ).
fof(f4024,plain,
( spl33_422
<=> ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k3_xboole_0(X2,sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_422])]) ).
fof(f1825,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) = k3_xboole_0(X2,sK16(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_236 ),
inference(resolution,[],[f1787,f986]) ).
fof(f4022,plain,
( spl33_421
| ~ spl33_122
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1807,f1777,f981,f4020]) ).
fof(f4020,plain,
( spl33_421
<=> ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK9(u1_struct_0(X0))) = k3_xboole_0(sK13(X0),sK9(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_421])]) ).
fof(f1807,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK9(u1_struct_0(X0))) = k3_xboole_0(sK13(X0),sK9(u1_struct_0(X0)))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_234 ),
inference(resolution,[],[f1778,f982]) ).
fof(f3981,plain,
( spl33_420
| ~ spl33_123
| ~ spl33_263 ),
inference(avatar_split_clause,[],[f2051,f2048,f985,f3979]) ).
fof(f3979,plain,
( spl33_420
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k5_subset_1(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_420])]) ).
fof(f2051,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k5_subset_1(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_263 ),
inference(resolution,[],[f2049,f986]) ).
fof(f3977,plain,
( spl33_419
| ~ spl33_48
| ~ spl33_100
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f1965,f1896,f843,f605,f3975]) ).
fof(f3975,plain,
( spl33_419
<=> ! [X0] :
( k3_xboole_0(sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0)))) = k5_subset_1(u1_struct_0(X0),sK16(k1_zfmisc_1(u1_struct_0(X0))),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_419])]) ).
fof(f1965,plain,
( ! [X0] :
( k3_xboole_0(sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0)))) = k5_subset_1(u1_struct_0(X0),sK16(k1_zfmisc_1(u1_struct_0(X0))),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_48
| ~ spl33_100
| ~ spl33_242 ),
inference(forward_demodulation,[],[f1956,f844]) ).
fof(f1956,plain,
( ! [X0] :
( k3_xboole_0(sK16(k1_zfmisc_1(u1_struct_0(X0))),sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK16(k1_zfmisc_1(u1_struct_0(X0))),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_48
| ~ spl33_242 ),
inference(resolution,[],[f1897,f606]) ).
fof(f3973,plain,
( spl33_418
| ~ spl33_122
| ~ spl33_237 ),
inference(avatar_split_clause,[],[f1837,f1790,f981,f3971]) ).
fof(f3971,plain,
( spl33_418
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK13(X0),X1)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_418])]) ).
fof(f1837,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK13(X0),X1)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_237 ),
inference(resolution,[],[f1791,f982]) ).
fof(f3969,plain,
( spl33_417
| ~ spl33_72
| ~ spl33_368 ),
inference(avatar_split_clause,[],[f3271,f3265,f715,f3966]) ).
fof(f3966,plain,
( spl33_417
<=> v4_rlvect_1(k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_417])]) ).
fof(f3271,plain,
( v4_rlvect_1(k1_rmod_5(sK5,sK6,sK8))
| ~ spl33_72
| ~ spl33_368 ),
inference(resolution,[],[f3267,f716]) ).
fof(f3964,plain,
( spl33_416
| ~ spl33_122
| ~ spl33_236 ),
inference(avatar_split_clause,[],[f1824,f1786,f981,f3962]) ).
fof(f3962,plain,
( spl33_416
<=> ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0)))) = k3_xboole_0(sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_416])]) ).
fof(f1824,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0)))) = k3_xboole_0(sK13(X0),sK16(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_236 ),
inference(resolution,[],[f1787,f982]) ).
fof(f3882,plain,
( spl33_415
| ~ spl33_80
| ~ spl33_264 ),
inference(avatar_split_clause,[],[f2063,f2059,f759,f3880]) ).
fof(f3880,plain,
( spl33_415
<=> ! [X0] :
( sK12(X0) = g1_vectsp_2(X0,u1_struct_0(sK12(X0)),u1_rlvect_1(sK12(X0)),u2_struct_0(sK12(X0)),u1_vectsp_2(X0,sK12(X0)))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_415])]) ).
fof(f759,plain,
( spl33_80
<=> ! [X0] :
( l1_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_80])]) ).
fof(f2059,plain,
( spl33_264
<=> ! [X0] :
( sK12(X0) = g1_vectsp_2(X0,u1_struct_0(sK12(X0)),u1_rlvect_1(sK12(X0)),u2_struct_0(sK12(X0)),u1_vectsp_2(X0,sK12(X0)))
| ~ l1_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_264])]) ).
fof(f2063,plain,
( ! [X0] :
( sK12(X0) = g1_vectsp_2(X0,u1_struct_0(sK12(X0)),u1_rlvect_1(sK12(X0)),u2_struct_0(sK12(X0)),u1_vectsp_2(X0,sK12(X0)))
| ~ l1_struct_0(X0) )
| ~ spl33_80
| ~ spl33_264 ),
inference(duplicate_literal_removal,[],[f2062]) ).
fof(f2062,plain,
( ! [X0] :
( sK12(X0) = g1_vectsp_2(X0,u1_struct_0(sK12(X0)),u1_rlvect_1(sK12(X0)),u2_struct_0(sK12(X0)),u1_vectsp_2(X0,sK12(X0)))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_80
| ~ spl33_264 ),
inference(resolution,[],[f2060,f760]) ).
fof(f760,plain,
( ! [X0] :
( l1_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl33_80 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f2060,plain,
( ! [X0] :
( ~ l1_vectsp_2(sK12(X0),X0)
| sK12(X0) = g1_vectsp_2(X0,u1_struct_0(sK12(X0)),u1_rlvect_1(sK12(X0)),u2_struct_0(sK12(X0)),u1_vectsp_2(X0,sK12(X0)))
| ~ l1_struct_0(X0) )
| ~ spl33_264 ),
inference(avatar_component_clause,[],[f2059]) ).
fof(f3878,plain,
( spl33_414
| ~ spl33_194
| ~ spl33_238 ),
inference(avatar_split_clause,[],[f1859,f1842,f1503,f3876]) ).
fof(f1503,plain,
( spl33_194
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK16(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_194])]) ).
fof(f1842,plain,
( spl33_238
<=> ! [X0,X3,X2,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(X3,X1)
| ~ r2_hidden(X3,k5_subset_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_238])]) ).
fof(f1859,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| m1_subset_1(sK16(k5_subset_1(X1,X0,X2)),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k5_subset_1(X1,X0,X2)) )
| ~ spl33_194
| ~ spl33_238 ),
inference(resolution,[],[f1843,f1504]) ).
fof(f1504,plain,
( ! [X0] :
( r2_hidden(sK16(X0),X0)
| v1_xboole_0(X0) )
| ~ spl33_194 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1843,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_subset_1(X1,X2,X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(X3,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl33_238 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f3874,plain,
( spl33_413
| ~ spl33_136
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f1705,f1672,f1072,f3872]) ).
fof(f3872,plain,
( spl33_413
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)),u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_413])]) ).
fof(f1072,plain,
( spl33_136
<=> ! [X0,X1] :
( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_136])]) ).
fof(f1672,plain,
( spl33_221
<=> ! [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,[spl33_221])]) ).
fof(f1705,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,u1_vectsp_2(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)),u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ l1_struct_0(X1) )
| ~ spl33_136
| ~ spl33_221 ),
inference(resolution,[],[f1673,f1073]) ).
fof(f1073,plain,
( ! [X0,X1] :
( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) )
| ~ spl33_136 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1673,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl33_221 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f3833,plain,
( spl33_412
| ~ spl33_71
| ~ spl33_368 ),
inference(avatar_split_clause,[],[f3270,f3265,f711,f3830]) ).
fof(f3830,plain,
( spl33_412
<=> v3_rlvect_1(k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_412])]) ).
fof(f3270,plain,
( v3_rlvect_1(k1_rmod_5(sK5,sK6,sK8))
| ~ spl33_71
| ~ spl33_368 ),
inference(resolution,[],[f3267,f712]) ).
fof(f3812,plain,
( spl33_411
| ~ spl33_107
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f1970,f1900,f871,f3810]) ).
fof(f3810,plain,
( spl33_411
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ m2_relset_1(X3,X0,X1)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_411])]) ).
fof(f1970,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ m2_relset_1(X3,X0,X1)
| ~ r1_tarski(X2,k2_zfmisc_1(X0,X1)) )
| ~ spl33_107
| ~ spl33_243 ),
inference(resolution,[],[f1901,f872]) ).
fof(f3808,plain,
( spl33_410
| ~ spl33_107
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f1955,f1896,f871,f3806]) ).
fof(f3806,plain,
( spl33_410
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k3_xboole_0(X1,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_410])]) ).
fof(f1955,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k3_xboole_0(X1,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ r1_tarski(X1,u1_struct_0(X0)) )
| ~ spl33_107
| ~ spl33_242 ),
inference(resolution,[],[f1897,f872]) ).
fof(f3804,plain,
( spl33_409
| ~ spl33_123
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1764,f1751,f985,f3802]) ).
fof(f3802,plain,
( spl33_409
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_409])]) ).
fof(f1764,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ r1_tarski(X3,k2_zfmisc_1(X0,X1))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_231 ),
inference(resolution,[],[f1752,f986]) ).
fof(f3800,plain,
( spl33_408
| ~ spl33_122
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1763,f1751,f981,f3798]) ).
fof(f3798,plain,
( spl33_408
<=> ! [X0,X1] :
( k3_xboole_0(sK13(X0),X1) = k5_subset_1(u1_struct_0(X0),sK13(X0),X1)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_408])]) ).
fof(f1763,plain,
( ! [X0,X1] :
( k3_xboole_0(sK13(X0),X1) = k5_subset_1(u1_struct_0(X0),sK13(X0),X1)
| ~ r1_tarski(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_231 ),
inference(resolution,[],[f1752,f982]) ).
fof(f3764,plain,
( spl33_407
| ~ spl33_123
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f1966,f1900,f985,f3762]) ).
fof(f3762,plain,
( spl33_407
<=> ! [X0,X3,X2,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_407])]) ).
fof(f1966,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ m2_relset_1(X3,X0,X1)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_243 ),
inference(resolution,[],[f1901,f986]) ).
fof(f3760,plain,
( spl33_406
| ~ spl33_88
| ~ spl33_241 ),
inference(avatar_split_clause,[],[f1892,f1887,f792,f3758]) ).
fof(f3758,plain,
( spl33_406
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(k1_zfmisc_1(X1),k5_subset_1(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_406])]) ).
fof(f792,plain,
( spl33_88
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_88])]) ).
fof(f1887,plain,
( spl33_241
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_241])]) ).
fof(f1892,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(k1_zfmisc_1(X1),k5_subset_1(X1,X0,X2)) )
| ~ spl33_88
| ~ spl33_241 ),
inference(resolution,[],[f1888,f793]) ).
fof(f793,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl33_88 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( r2_hidden(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl33_241 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f3741,plain,
( ~ spl33_405
| ~ spl33_70
| ~ spl33_368 ),
inference(avatar_split_clause,[],[f3269,f3265,f707,f3738]) ).
fof(f3738,plain,
( spl33_405
<=> v3_struct_0(k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_405])]) ).
fof(f3269,plain,
( ~ v3_struct_0(k1_rmod_5(sK5,sK6,sK8))
| ~ spl33_70
| ~ spl33_368 ),
inference(resolution,[],[f3267,f708]) ).
fof(f3707,plain,
( spl33_404
| ~ spl33_48
| ~ spl33_239 ),
inference(avatar_split_clause,[],[f1870,f1846,f605,f3705]) ).
fof(f1870,plain,
( ! [X0] :
( k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK9(X0)) = k5_subset_1(X0,sK9(X0),sK16(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) )
| ~ spl33_48
| ~ spl33_239 ),
inference(resolution,[],[f1847,f606]) ).
fof(f3703,plain,
( spl33_403
| ~ spl33_123
| ~ spl33_226 ),
inference(avatar_split_clause,[],[f1723,f1713,f985,f3701]) ).
fof(f3701,plain,
( spl33_403
<=> ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK30) = k5_subset_1(k2_zfmisc_1(X0,X1),sK30,X2)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_403])]) ).
fof(f1723,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK30) = k5_subset_1(k2_zfmisc_1(X0,X1),sK30,X2)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_226 ),
inference(resolution,[],[f1714,f986]) ).
fof(f3699,plain,
( spl33_402
| ~ spl33_122
| ~ spl33_226 ),
inference(avatar_split_clause,[],[f1722,f1713,f981,f3697]) ).
fof(f3697,plain,
( spl33_402
<=> ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK30) = k5_subset_1(u1_struct_0(X0),sK30,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_402])]) ).
fof(f1722,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK13(X0),sK30) = k5_subset_1(u1_struct_0(X0),sK30,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_226 ),
inference(resolution,[],[f1714,f982]) ).
fof(f3695,plain,
( spl33_401
| ~ spl33_134
| ~ spl33_225 ),
inference(avatar_split_clause,[],[f1695,f1690,f1059,f3693]) ).
fof(f3693,plain,
( spl33_401
<=> ! [X2,X0,X1] :
( sK30 = k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK30)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_401])]) ).
fof(f1690,plain,
( spl33_225
<=> ! [X0,X1] :
( sK30 = k5_subset_1(X0,X1,sK30)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_225])]) ).
fof(f1695,plain,
( ! [X2,X0,X1] :
( sK30 = k5_subset_1(X0,k5_subset_1(X0,X1,X2),sK30)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_225 ),
inference(resolution,[],[f1691,f1060]) ).
fof(f1691,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sK30 = k5_subset_1(X0,X1,sK30) )
| ~ spl33_225 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f3649,plain,
( spl33_400
| ~ spl33_74
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f3259,f3251,f723,f3646]) ).
fof(f3259,plain,
( v6_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_74
| ~ spl33_367 ),
inference(resolution,[],[f3253,f724]) ).
fof(f3632,plain,
( spl33_399
| ~ spl33_48
| ~ spl33_237 ),
inference(avatar_split_clause,[],[f1839,f1790,f605,f3630]) ).
fof(f3630,plain,
( spl33_399
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),X1)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_399])]) ).
fof(f1839,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),X1)
| ~ r1_tarski(X1,X0) )
| ~ spl33_48
| ~ spl33_237 ),
inference(resolution,[],[f1791,f606]) ).
fof(f3628,plain,
( spl33_398
| ~ spl33_94
| ~ spl33_237 ),
inference(avatar_split_clause,[],[f1832,f1790,f818,f3626]) ).
fof(f3626,plain,
( spl33_398
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k5_subset_1(X0,sK9(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_398])]) ).
fof(f1832,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k5_subset_1(X0,sK9(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_237 ),
inference(resolution,[],[f1791,f819]) ).
fof(f3624,plain,
( spl33_397
| ~ spl33_94
| ~ spl33_236 ),
inference(avatar_split_clause,[],[f1819,f1786,f818,f3622]) ).
fof(f1819,plain,
( ! [X0] :
( k3_xboole_0(sK9(X0),sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK9(X0),sK16(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_236 ),
inference(resolution,[],[f1787,f819]) ).
fof(f3620,plain,
( spl33_396
| ~ spl33_48
| ~ spl33_100
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1817,f1777,f843,f605,f3618]) ).
fof(f3618,plain,
( spl33_396
<=> ! [X0] :
( k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK9(X0)) = k3_xboole_0(sK9(X0),sK16(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_396])]) ).
fof(f1817,plain,
( ! [X0] :
( k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK9(X0)) = k3_xboole_0(sK9(X0),sK16(k1_zfmisc_1(X0)))
| v1_xboole_0(X0) )
| ~ spl33_48
| ~ spl33_100
| ~ spl33_234 ),
inference(forward_demodulation,[],[f1809,f844]) ).
fof(f1809,plain,
( ! [X0] :
( k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK9(X0)) = k3_xboole_0(sK16(k1_zfmisc_1(X0)),sK9(X0))
| v1_xboole_0(X0) )
| ~ spl33_48
| ~ spl33_234 ),
inference(resolution,[],[f1778,f606]) ).
fof(f3616,plain,
( spl33_395
| ~ spl33_126
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f1704,f1672,f1017,f3614]) ).
fof(f3614,plain,
( spl33_395
<=> ! [X0,X1] :
( ~ r2_hidden(X0,u1_rlvect_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_rlvect_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_395])]) ).
fof(f1017,plain,
( spl33_126
<=> ! [X0] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_126])]) ).
fof(f1704,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_rlvect_1(X1))
| m1_subset_1(X0,k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)))
| ~ l1_rlvect_1(X1) )
| ~ spl33_126
| ~ spl33_221 ),
inference(resolution,[],[f1673,f1018]) ).
fof(f1018,plain,
( ! [X0] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) )
| ~ spl33_126 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f3567,plain,
( spl33_394
| ~ spl33_73
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f3258,f3251,f719,f3564]) ).
fof(f3258,plain,
( v5_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_73
| ~ spl33_367 ),
inference(resolution,[],[f3253,f720]) ).
fof(f3490,plain,
( spl33_393
| ~ spl33_107
| ~ spl33_237 ),
inference(avatar_split_clause,[],[f1834,f1790,f871,f3488]) ).
fof(f3488,plain,
( spl33_393
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_393])]) ).
fof(f1834,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_237 ),
inference(resolution,[],[f1791,f872]) ).
fof(f3486,plain,
( spl33_392
| ~ spl33_107
| ~ spl33_236 ),
inference(avatar_split_clause,[],[f1821,f1786,f871,f3484]) ).
fof(f3484,plain,
( spl33_392
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k3_xboole_0(X1,sK16(k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_392])]) ).
fof(f1821,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k3_xboole_0(X1,sK16(k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_236 ),
inference(resolution,[],[f1787,f872]) ).
fof(f3482,plain,
( spl33_391
| ~ spl33_107
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1804,f1777,f871,f3480]) ).
fof(f3480,plain,
( spl33_391
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k3_xboole_0(X1,sK9(X0))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_391])]) ).
fof(f1804,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k3_xboole_0(X1,sK9(X0))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_234 ),
inference(resolution,[],[f1778,f872]) ).
fof(f3478,plain,
( spl33_390
| ~ spl33_194
| ~ spl33_232 ),
inference(avatar_split_clause,[],[f1793,f1769,f1503,f3476]) ).
fof(f3476,plain,
( spl33_390
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k5_subset_1(X1,X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_390])]) ).
fof(f1769,plain,
( spl33_232
<=> ! [X2,X0,X1,X3] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,k5_subset_1(X1,X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_232])]) ).
fof(f1793,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k5_subset_1(X1,X0,X2)) )
| ~ spl33_194
| ~ spl33_232 ),
inference(resolution,[],[f1770,f1504]) ).
fof(f1770,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k5_subset_1(X1,X2,X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) )
| ~ spl33_232 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f3474,plain,
( spl33_389
| ~ spl33_48
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1765,f1751,f605,f3472]) ).
fof(f3472,plain,
( spl33_389
<=> ! [X0,X1] :
( k3_xboole_0(sK16(k1_zfmisc_1(X0)),X1) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),X1)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_389])]) ).
fof(f1765,plain,
( ! [X0,X1] :
( k3_xboole_0(sK16(k1_zfmisc_1(X0)),X1) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),X1)
| ~ r1_tarski(X1,X0) )
| ~ spl33_48
| ~ spl33_231 ),
inference(resolution,[],[f1752,f606]) ).
fof(f3470,plain,
( spl33_388
| ~ spl33_94
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1758,f1751,f818,f3468]) ).
fof(f3468,plain,
( spl33_388
<=> ! [X0,X1] :
( k3_xboole_0(sK9(X0),X1) = k5_subset_1(X0,sK9(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_388])]) ).
fof(f1758,plain,
( ! [X0,X1] :
( k3_xboole_0(sK9(X0),X1) = k5_subset_1(X0,sK9(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_231 ),
inference(resolution,[],[f1752,f819]) ).
fof(f3466,plain,
( spl33_387
| ~ spl33_72
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f3257,f3251,f715,f3463]) ).
fof(f3257,plain,
( v4_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_72
| ~ spl33_367 ),
inference(resolution,[],[f3253,f716]) ).
fof(f3461,plain,
( spl33_386
| ~ spl33_88
| ~ spl33_230 ),
inference(avatar_split_clause,[],[f1756,f1747,f792,f3459]) ).
fof(f3459,plain,
( spl33_386
<=> ! [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,[spl33_386])]) ).
fof(f1747,plain,
( spl33_230
<=> ! [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,[spl33_230])]) ).
fof(f1756,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) )
| ~ spl33_88
| ~ spl33_230 ),
inference(resolution,[],[f1748,f793]) ).
fof(f1748,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) )
| ~ spl33_230 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f3435,plain,
( spl33_385
| ~ spl33_107
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1760,f1751,f871,f3433]) ).
fof(f3433,plain,
( spl33_385
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_385])]) ).
fof(f1760,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ r1_tarski(X2,X0)
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_231 ),
inference(resolution,[],[f1752,f872]) ).
fof(f3431,plain,
( spl33_384
| ~ spl33_88
| ~ spl33_227 ),
inference(avatar_split_clause,[],[f1743,f1729,f792,f3429]) ).
fof(f3429,plain,
( spl33_384
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_384])]) ).
fof(f1729,plain,
( spl33_227
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_227])]) ).
fof(f1743,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK13(X0)) )
| ~ spl33_88
| ~ spl33_227 ),
inference(resolution,[],[f1730,f793]) ).
fof(f1730,plain,
( ! [X0] :
( r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) )
| ~ spl33_227 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f3427,plain,
( spl33_383
| ~ spl33_122
| ~ spl33_218 ),
inference(avatar_split_clause,[],[f1659,f1641,f981,f3425]) ).
fof(f3425,plain,
( spl33_383
<=> ! [X0] :
( sK13(X0) = k5_subset_1(u1_struct_0(X0),sK13(X0),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_383])]) ).
fof(f1659,plain,
( ! [X0] :
( sK13(X0) = k5_subset_1(u1_struct_0(X0),sK13(X0),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_218 ),
inference(resolution,[],[f1642,f982]) ).
fof(f3407,plain,
( spl33_382
| ~ spl33_94
| ~ spl33_226 ),
inference(avatar_split_clause,[],[f1717,f1713,f818,f3405]) ).
fof(f3405,plain,
( spl33_382
<=> ! [X0] :
( k5_subset_1(X0,sK9(X0),sK30) = k5_subset_1(X0,sK30,sK9(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_382])]) ).
fof(f1717,plain,
( ! [X0] :
( k5_subset_1(X0,sK9(X0),sK30) = k5_subset_1(X0,sK30,sK9(X0))
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_226 ),
inference(resolution,[],[f1714,f819]) ).
fof(f3403,plain,
( spl33_381
| ~ spl33_71
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f3256,f3251,f711,f3400]) ).
fof(f3256,plain,
( v3_rlvect_1(k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_71
| ~ spl33_367 ),
inference(resolution,[],[f3253,f712]) ).
fof(f3398,plain,
( spl33_380
| ~ spl33_194
| ~ spl33_220 ),
inference(avatar_split_clause,[],[f1703,f1668,f1503,f3396]) ).
fof(f3396,plain,
( spl33_380
<=> ! [X0] :
( m1_subset_1(sK16(sK13(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK13(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_380])]) ).
fof(f1668,plain,
( spl33_220
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK13(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_220])]) ).
fof(f1703,plain,
( ! [X0] :
( m1_subset_1(sK16(sK13(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK13(X0)) )
| ~ spl33_194
| ~ spl33_220 ),
inference(resolution,[],[f1669,f1504]) ).
fof(f1669,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK13(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl33_220 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f3393,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_379
| ~ spl33_153
| spl33_260 ),
inference(avatar_split_clause,[],[f2029,f2025,f1188,f3390,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f1188,plain,
( spl33_153
<=> ! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_153])]) ).
fof(f2029,plain,
( ~ m1_subset_1(k3_xboole_0(sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_153
| spl33_260 ),
inference(resolution,[],[f2027,f1189]) ).
fof(f1189,plain,
( ! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_153 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f2027,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,sK6)
| spl33_260 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f3329,plain,
( ~ spl33_378
| ~ spl33_70
| ~ spl33_367 ),
inference(avatar_split_clause,[],[f3255,f3251,f707,f3326]) ).
fof(f3255,plain,
( ~ v3_struct_0(k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_70
| ~ spl33_367 ),
inference(resolution,[],[f3253,f708]) ).
fof(f3324,plain,
( spl33_377
| ~ spl33_67
| ~ spl33_181
| ~ spl33_188
| ~ spl33_243 ),
inference(avatar_split_clause,[],[f1973,f1900,f1437,f1405,f695,f3322]) ).
fof(f3322,plain,
( spl33_377
<=> ! [X2,X0,X1] :
( sK30 = k5_subset_1(k2_zfmisc_1(X0,X1),sK30,X2)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_377])]) ).
fof(f1973,plain,
( ! [X2,X0,X1] :
( sK30 = k5_subset_1(k2_zfmisc_1(X0,X1),sK30,X2)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_67
| ~ spl33_181
| ~ spl33_188
| ~ spl33_243 ),
inference(forward_demodulation,[],[f1972,f1438]) ).
fof(f1972,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),sK30,X2) = k3_xboole_0(sK30,X2)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_67
| ~ spl33_181
| ~ spl33_243 ),
inference(forward_demodulation,[],[f1967,f1406]) ).
fof(f1967,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),sK17(k2_zfmisc_1(X0,X1)),X2) = k3_xboole_0(sK17(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_67
| ~ spl33_243 ),
inference(resolution,[],[f1901,f696]) ).
fof(f3320,plain,
( spl33_376
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_188
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f1962,f1896,f1437,f1405,f843,f695,f3318]) ).
fof(f3318,plain,
( spl33_376
<=> ! [X0] :
( sK30 = k5_subset_1(u1_struct_0(X0),sK30,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_376])]) ).
fof(f1962,plain,
( ! [X0] :
( sK30 = k5_subset_1(u1_struct_0(X0),sK30,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_188
| ~ spl33_242 ),
inference(forward_demodulation,[],[f1961,f1438]) ).
fof(f1961,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK30,sK13(X0)) = k3_xboole_0(sK30,sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_242 ),
inference(forward_demodulation,[],[f1960,f844]) ).
fof(f1960,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK30,sK13(X0)) = k3_xboole_0(sK13(X0),sK30)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_242 ),
inference(forward_demodulation,[],[f1959,f1406]) ).
fof(f1959,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK17(u1_struct_0(X0)),sK13(X0)) = k3_xboole_0(sK13(X0),sK17(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_242 ),
inference(forward_demodulation,[],[f1952,f844]) ).
fof(f1952,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(X0),sK17(u1_struct_0(X0)),sK13(X0)) = k3_xboole_0(sK17(u1_struct_0(X0)),sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_67
| ~ spl33_242 ),
inference(resolution,[],[f1897,f696]) ).
fof(f3316,plain,
( spl33_375
| ~ spl33_107
| ~ spl33_226 ),
inference(avatar_split_clause,[],[f1719,f1713,f871,f3314]) ).
fof(f3314,plain,
( spl33_375
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK30) = k5_subset_1(X0,sK30,X1)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_375])]) ).
fof(f1719,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK30) = k5_subset_1(X0,sK30,X1)
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_226 ),
inference(resolution,[],[f1714,f872]) ).
fof(f3312,plain,
( spl33_374
| ~ spl33_123
| ~ spl33_225 ),
inference(avatar_split_clause,[],[f1700,f1690,f985,f3310]) ).
fof(f3310,plain,
( spl33_374
<=> ! [X2,X0,X1] :
( sK30 = k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK30)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_374])]) ).
fof(f1700,plain,
( ! [X2,X0,X1] :
( sK30 = k5_subset_1(k2_zfmisc_1(X0,X1),X2,sK30)
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_225 ),
inference(resolution,[],[f1691,f986]) ).
fof(f3308,plain,
( spl33_373
| ~ spl33_122
| ~ spl33_225 ),
inference(avatar_split_clause,[],[f1699,f1690,f981,f3306]) ).
fof(f3306,plain,
( spl33_373
<=> ! [X0] :
( sK30 = k5_subset_1(u1_struct_0(X0),sK13(X0),sK30)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_373])]) ).
fof(f1699,plain,
( ! [X0] :
( sK30 = k5_subset_1(u1_struct_0(X0),sK13(X0),sK30)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_225 ),
inference(resolution,[],[f1691,f982]) ).
fof(f3304,plain,
( spl33_372
| ~ spl33_48
| ~ spl33_218 ),
inference(avatar_split_clause,[],[f1661,f1641,f605,f3302]) ).
fof(f3302,plain,
( spl33_372
<=> ! [X0] : sK16(k1_zfmisc_1(X0)) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK16(k1_zfmisc_1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_372])]) ).
fof(f1661,plain,
( ! [X0] : sK16(k1_zfmisc_1(X0)) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK16(k1_zfmisc_1(X0)))
| ~ spl33_48
| ~ spl33_218 ),
inference(resolution,[],[f1642,f606]) ).
fof(f3300,plain,
( spl33_371
| ~ spl33_123
| ~ spl33_218 ),
inference(avatar_split_clause,[],[f1660,f1641,f985,f3298]) ).
fof(f3298,plain,
( spl33_371
<=> ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X2) = X2
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_371])]) ).
fof(f1660,plain,
( ! [X2,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X2) = X2
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl33_123
| ~ spl33_218 ),
inference(resolution,[],[f1642,f986]) ).
fof(f3289,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| spl33_370
| ~ spl33_145
| ~ spl33_366 ),
inference(avatar_split_clause,[],[f3284,f3241,f1145,f3286,f476,f471,f466,f461,f456,f451,f446,f441,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f3241,plain,
( spl33_366
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_366])]) ).
fof(f3284,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,sK30))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_145
| ~ spl33_366 ),
inference(resolution,[],[f3243,f1146]) ).
fof(f3243,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,sK6)
| ~ spl33_366 ),
inference(avatar_component_clause,[],[f3241]) ).
fof(f3283,plain,
( ~ spl33_317
| spl33_369 ),
inference(avatar_contradiction_clause,[],[f3281]) ).
fof(f3281,plain,
( $false
| ~ spl33_317
| spl33_369 ),
inference(resolution,[],[f3279,f2605]) ).
fof(f2605,plain,
( ! [X0] : m1_subset_1(sK30,k1_zfmisc_1(X0))
| ~ spl33_317 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f2604,plain,
( spl33_317
<=> ! [X0] : m1_subset_1(sK30,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_317])]) ).
fof(f3279,plain,
( ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| spl33_369 ),
inference(avatar_component_clause,[],[f3277]) ).
fof(f3280,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_369
| ~ spl33_153
| spl33_366 ),
inference(avatar_split_clause,[],[f3249,f3241,f1188,f3277,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f3249,plain,
( ~ m1_subset_1(sK30,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_153
| spl33_366 ),
inference(resolution,[],[f3242,f1189]) ).
fof(f3242,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,sK6)
| spl33_366 ),
inference(avatar_component_clause,[],[f3241]) ).
fof(f3268,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| spl33_368
| ~ spl33_145
| ~ spl33_257 ),
inference(avatar_split_clause,[],[f3263,f2007,f1145,f3265,f476,f471,f466,f461,f456,f451,f446,f441,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f2007,plain,
( spl33_257
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,sK8),sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_257])]) ).
fof(f3263,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,sK8))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_145
| ~ spl33_257 ),
inference(resolution,[],[f2008,f1146]) ).
fof(f2008,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,sK8),sK5,sK6)
| ~ spl33_257 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f3262,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_22
| ~ spl33_153
| spl33_257 ),
inference(avatar_split_clause,[],[f2023,f2007,f1188,f486,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f2023,plain,
( ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_153
| spl33_257 ),
inference(resolution,[],[f2009,f1189]) ).
fof(f2009,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK8),sK5,sK6)
| spl33_257 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f3254,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| spl33_367
| ~ spl33_145
| ~ spl33_256 ),
inference(avatar_split_clause,[],[f3248,f2003,f1145,f3251,f476,f471,f466,f461,f456,f451,f446,f441,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f2003,plain,
( spl33_256
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,sK7),sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_256])]) ).
fof(f3248,plain,
( sP2(sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_145
| ~ spl33_256 ),
inference(resolution,[],[f2004,f1146]) ).
fof(f2004,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,sK7),sK5,sK6)
| ~ spl33_256 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f3244,plain,
( spl33_366
| ~ spl33_256
| ~ spl33_302 ),
inference(avatar_split_clause,[],[f3239,f2372,f2003,f3241]) ).
fof(f3239,plain,
( m1_rmod_2(k1_rmod_5(sK5,sK6,sK30),sK5,sK6)
| ~ spl33_256
| ~ spl33_302 ),
inference(forward_demodulation,[],[f2004,f2374]) ).
fof(f3238,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_11
| ~ spl33_12
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_153
| spl33_256 ),
inference(avatar_split_clause,[],[f2022,f2003,f1188,f481,f476,f471,f466,f461,f456,f451,f446,f441,f436,f431,f426,f421,f416,f411,f406,f401,f396,f391,f386,f381]) ).
fof(f2022,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| v10_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_group_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_153
| spl33_256 ),
inference(resolution,[],[f2005,f1189]) ).
fof(f2005,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK7),sK5,sK6)
| spl33_256 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f3227,plain,
( spl33_365
| ~ spl33_94
| ~ spl33_218 ),
inference(avatar_split_clause,[],[f1654,f1641,f818,f3225]) ).
fof(f1654,plain,
( ! [X0] :
( sK9(X0) = k5_subset_1(X0,sK9(X0),sK9(X0))
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_218 ),
inference(resolution,[],[f1642,f819]) ).
fof(f3091,plain,
( spl33_364
| ~ spl33_93
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f1707,f1672,f813,f3089]) ).
fof(f3089,plain,
( spl33_364
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK21(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_364])]) ).
fof(f813,plain,
( spl33_93
<=> ! [X0,X1] : m2_relset_1(sK21(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_93])]) ).
fof(f1707,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK21(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl33_93
| ~ spl33_221 ),
inference(resolution,[],[f1673,f814]) ).
fof(f814,plain,
( ! [X0,X1] : m2_relset_1(sK21(X0,X1),X0,X1)
| ~ spl33_93 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f3087,plain,
( spl33_363
| ~ spl33_196
| ~ spl33_221 ),
inference(avatar_split_clause,[],[f1706,f1672,f1511,f3085]) ).
fof(f3085,plain,
( spl33_363
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_363])]) ).
fof(f1511,plain,
( spl33_196
<=> ! [X0,X1] : m2_relset_1(sK20(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_196])]) ).
fof(f1706,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl33_196
| ~ spl33_221 ),
inference(resolution,[],[f1673,f1512]) ).
fof(f1512,plain,
( ! [X0,X1] : m2_relset_1(sK20(X0,X1),X0,X1)
| ~ spl33_196 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f3083,plain,
( spl33_362
| ~ spl33_88
| ~ spl33_217 ),
inference(avatar_split_clause,[],[f1652,f1637,f792,f3081]) ).
fof(f3081,plain,
( spl33_362
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),u2_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_362])]) ).
fof(f1637,plain,
( spl33_217
<=> ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_217])]) ).
fof(f1652,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),u2_struct_0(X0)) )
| ~ spl33_88
| ~ spl33_217 ),
inference(resolution,[],[f1638,f793]) ).
fof(f1638,plain,
( ! [X0] :
( r2_hidden(u2_struct_0(X0),u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl33_217 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f3079,plain,
( spl33_361
| ~ spl33_88
| ~ spl33_215 ),
inference(avatar_split_clause,[],[f1649,f1628,f792,f3077]) ).
fof(f3077,plain,
( spl33_361
<=> ! [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,[spl33_361])]) ).
fof(f1628,plain,
( spl33_215
<=> ! [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,[spl33_215])]) ).
fof(f1649,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl33_88
| ~ spl33_215 ),
inference(resolution,[],[f1629,f793]) ).
fof(f1629,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl33_215 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f3075,plain,
( spl33_360
| ~ spl33_88
| ~ spl33_214 ),
inference(avatar_split_clause,[],[f1646,f1624,f792,f3073]) ).
fof(f3073,plain,
( spl33_360
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_360])]) ).
fof(f1624,plain,
( spl33_214
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_214])]) ).
fof(f1646,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK9(X0)) )
| ~ spl33_88
| ~ spl33_214 ),
inference(resolution,[],[f1625,f793]) ).
fof(f1625,plain,
( ! [X0] :
( r2_hidden(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl33_214 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f3071,plain,
( spl33_359
| ~ spl33_194
| ~ spl33_212 ),
inference(avatar_split_clause,[],[f1612,f1603,f1503,f3069]) ).
fof(f3069,plain,
( spl33_359
<=> ! [X0] :
( m1_subset_1(sK16(sK9(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_359])]) ).
fof(f1603,plain,
( spl33_212
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK9(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_212])]) ).
fof(f1612,plain,
( ! [X0] :
( m1_subset_1(sK16(sK9(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK9(X0)) )
| ~ spl33_194
| ~ spl33_212 ),
inference(resolution,[],[f1604,f1504]) ).
fof(f1604,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK9(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl33_212 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f3067,plain,
( spl33_358
| ~ spl33_194
| ~ spl33_208 ),
inference(avatar_split_clause,[],[f1588,f1577,f1503,f3065]) ).
fof(f3065,plain,
( spl33_358
<=> ! [X0] :
( m1_subset_1(sK16(sK16(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK16(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_358])]) ).
fof(f1577,plain,
( spl33_208
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK16(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_208])]) ).
fof(f1588,plain,
( ! [X0] :
( m1_subset_1(sK16(sK16(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK16(k1_zfmisc_1(X0))) )
| ~ spl33_194
| ~ spl33_208 ),
inference(resolution,[],[f1578,f1504]) ).
fof(f1578,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK16(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl33_208 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f3027,plain,
( spl33_357
| spl33_295
| ~ spl33_353 ),
inference(avatar_split_clause,[],[f3008,f2975,f2286,f3024]) ).
fof(f3024,plain,
( spl33_357
<=> sK30 = k5_subset_1(sK7,sK9(sK7),sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_357])]) ).
fof(f3008,plain,
( sK30 = k5_subset_1(sK7,sK9(sK7),sK30)
| spl33_295
| ~ spl33_353 ),
inference(resolution,[],[f2976,f2287]) ).
fof(f2989,plain,
( spl33_356
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_188
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1814,f1777,f1437,f1405,f843,f695,f2987]) ).
fof(f1814,plain,
( ! [X0] :
( sK30 = k5_subset_1(X0,sK30,sK9(X0))
| v1_xboole_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_188
| ~ spl33_234 ),
inference(forward_demodulation,[],[f1813,f1438]) ).
fof(f1813,plain,
( ! [X0] :
( k5_subset_1(X0,sK30,sK9(X0)) = k3_xboole_0(sK30,sK9(X0))
| v1_xboole_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_234 ),
inference(forward_demodulation,[],[f1812,f844]) ).
fof(f1812,plain,
( ! [X0] :
( k5_subset_1(X0,sK30,sK9(X0)) = k3_xboole_0(sK9(X0),sK30)
| v1_xboole_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_181
| ~ spl33_234 ),
inference(forward_demodulation,[],[f1811,f1406]) ).
fof(f1811,plain,
( ! [X0] :
( k5_subset_1(X0,sK17(X0),sK9(X0)) = k3_xboole_0(sK9(X0),sK17(X0))
| v1_xboole_0(X0) )
| ~ spl33_67
| ~ spl33_100
| ~ spl33_234 ),
inference(forward_demodulation,[],[f1801,f844]) ).
fof(f1801,plain,
( ! [X0] :
( k5_subset_1(X0,sK17(X0),sK9(X0)) = k3_xboole_0(sK17(X0),sK9(X0))
| v1_xboole_0(X0) )
| ~ spl33_67
| ~ spl33_234 ),
inference(resolution,[],[f1778,f696]) ).
fof(f2985,plain,
( spl33_355
| ~ spl33_67
| ~ spl33_181
| ~ spl33_188
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1767,f1751,f1437,f1405,f695,f2983]) ).
fof(f2983,plain,
( spl33_355
<=> ! [X0,X1] :
( sK30 = k5_subset_1(X0,sK30,X1)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_355])]) ).
fof(f1767,plain,
( ! [X0,X1] :
( sK30 = k5_subset_1(X0,sK30,X1)
| ~ r1_tarski(X1,X0) )
| ~ spl33_67
| ~ spl33_181
| ~ spl33_188
| ~ spl33_231 ),
inference(forward_demodulation,[],[f1766,f1438]) ).
fof(f1766,plain,
( ! [X0,X1] :
( k3_xboole_0(sK30,X1) = k5_subset_1(X0,sK30,X1)
| ~ r1_tarski(X1,X0) )
| ~ spl33_67
| ~ spl33_181
| ~ spl33_231 ),
inference(forward_demodulation,[],[f1757,f1406]) ).
fof(f1757,plain,
( ! [X0,X1] :
( k3_xboole_0(sK17(X0),X1) = k5_subset_1(X0,sK17(X0),X1)
| ~ r1_tarski(X1,X0) )
| ~ spl33_67
| ~ spl33_231 ),
inference(resolution,[],[f1752,f696]) ).
fof(f2981,plain,
( spl33_354
| ~ spl33_107
| ~ spl33_225 ),
inference(avatar_split_clause,[],[f1696,f1690,f871,f2979]) ).
fof(f2979,plain,
( spl33_354
<=> ! [X0,X1] :
( sK30 = k5_subset_1(X0,X1,sK30)
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_354])]) ).
fof(f1696,plain,
( ! [X0,X1] :
( sK30 = k5_subset_1(X0,X1,sK30)
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_225 ),
inference(resolution,[],[f1691,f872]) ).
fof(f2977,plain,
( spl33_353
| ~ spl33_94
| ~ spl33_225 ),
inference(avatar_split_clause,[],[f1694,f1690,f818,f2975]) ).
fof(f1694,plain,
( ! [X0] :
( sK30 = k5_subset_1(X0,sK9(X0),sK30)
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_225 ),
inference(resolution,[],[f1691,f819]) ).
fof(f2973,plain,
( spl33_352
| ~ spl33_107
| ~ spl33_218 ),
inference(avatar_split_clause,[],[f1656,f1641,f871,f2971]) ).
fof(f2971,plain,
( spl33_352
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,X1) = X1
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_352])]) ).
fof(f1656,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,X1) = X1
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_218 ),
inference(resolution,[],[f1642,f872]) ).
fof(f2944,plain,
( spl33_351
| ~ spl33_48
| ~ spl33_225
| ~ spl33_226 ),
inference(avatar_split_clause,[],[f1727,f1713,f1690,f605,f2942]) ).
fof(f2942,plain,
( spl33_351
<=> ! [X0] : sK30 = k5_subset_1(X0,sK30,sK16(k1_zfmisc_1(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_351])]) ).
fof(f1727,plain,
( ! [X0] : sK30 = k5_subset_1(X0,sK30,sK16(k1_zfmisc_1(X0)))
| ~ spl33_48
| ~ spl33_225
| ~ spl33_226 ),
inference(forward_demodulation,[],[f1724,f1701]) ).
fof(f1701,plain,
( ! [X0] : sK30 = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK30)
| ~ spl33_48
| ~ spl33_225 ),
inference(resolution,[],[f1691,f606]) ).
fof(f1724,plain,
( ! [X0] : k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK30) = k5_subset_1(X0,sK30,sK16(k1_zfmisc_1(X0)))
| ~ spl33_48
| ~ spl33_226 ),
inference(resolution,[],[f1714,f606]) ).
fof(f2940,plain,
( spl33_350
| ~ spl33_48
| ~ spl33_225 ),
inference(avatar_split_clause,[],[f1701,f1690,f605,f2938]) ).
fof(f2938,plain,
( spl33_350
<=> ! [X0] : sK30 = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_350])]) ).
fof(f2936,plain,
( spl33_349
| ~ spl33_187
| ~ spl33_213 ),
inference(avatar_split_clause,[],[f1618,f1607,f1433,f2934]) ).
fof(f2934,plain,
( spl33_349
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| m1_subset_1(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_349])]) ).
fof(f1607,plain,
( spl33_213
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_213])]) ).
fof(f1618,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| m1_subset_1(X0,X2) )
| ~ spl33_187
| ~ spl33_213 ),
inference(resolution,[],[f1608,f1434]) ).
fof(f1608,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X2,X1)
| ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1) )
| ~ spl33_213 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f2932,plain,
( spl33_348
| ~ spl33_69
| ~ spl33_213 ),
inference(avatar_split_clause,[],[f1614,f1607,f703,f2930]) ).
fof(f2930,plain,
( spl33_348
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_348])]) ).
fof(f1614,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| m1_subset_1(X0,X1) )
| ~ spl33_69
| ~ spl33_213 ),
inference(resolution,[],[f1608,f704]) ).
fof(f2928,plain,
( ~ spl33_347
| ~ spl33_296
| ~ spl33_334 ),
inference(avatar_split_clause,[],[f2829,f2748,f2295,f2925]) ).
fof(f2925,plain,
( spl33_347
<=> r2_hidden(u1_struct_0(sK6),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_347])]) ).
fof(f2295,plain,
( spl33_296
<=> ! [X0] :
( ~ r2_hidden(X0,sK8)
| r2_hidden(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_296])]) ).
fof(f2748,plain,
( spl33_334
<=> ! [X0] :
( ~ r2_hidden(X0,sK8)
| ~ r2_hidden(u1_struct_0(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_334])]) ).
fof(f2829,plain,
( ~ r2_hidden(u1_struct_0(sK6),sK8)
| ~ spl33_296
| ~ spl33_334 ),
inference(duplicate_literal_removal,[],[f2828]) ).
fof(f2828,plain,
( ~ r2_hidden(u1_struct_0(sK6),sK8)
| ~ r2_hidden(u1_struct_0(sK6),sK8)
| ~ spl33_296
| ~ spl33_334 ),
inference(resolution,[],[f2749,f2296]) ).
fof(f2296,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK8) )
| ~ spl33_296 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f2749,plain,
( ! [X0] :
( ~ r2_hidden(u1_struct_0(sK6),X0)
| ~ r2_hidden(X0,sK8) )
| ~ spl33_334 ),
inference(avatar_component_clause,[],[f2748]) ).
fof(f2923,plain,
( spl33_343
| spl33_344
| ~ spl33_345
| ~ spl33_346
| ~ spl33_121
| ~ spl33_162 ),
inference(avatar_split_clause,[],[f1274,f1235,f977,f2920,f2916,f2912,f2908]) ).
fof(f2908,plain,
( spl33_343
<=> v6_vectsp_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_343])]) ).
fof(f2912,plain,
( spl33_344
<=> v3_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_344])]) ).
fof(f2916,plain,
( spl33_345
<=> v7_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_345])]) ).
fof(f2920,plain,
( spl33_346
<=> v8_vectsp_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_346])]) ).
fof(f977,plain,
( spl33_121
<=> ! [X0] :
( v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_121])]) ).
fof(f1235,plain,
( spl33_162
<=> l1_vectsp_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_162])]) ).
fof(f1274,plain,
( ~ v8_vectsp_1(sK24)
| ~ v7_group_1(sK24)
| v3_struct_0(sK24)
| v6_vectsp_1(sK24)
| ~ spl33_121
| ~ spl33_162 ),
inference(resolution,[],[f1237,f978]) ).
fof(f978,plain,
( ! [X0] :
( ~ l1_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| v6_vectsp_1(X0) )
| ~ spl33_121 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f1237,plain,
( l1_vectsp_1(sK24)
| ~ spl33_162 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f2852,plain,
( spl33_342
| ~ spl33_22
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2104,f2096,f486,f2850]) ).
fof(f2850,plain,
( spl33_342
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK8)) = k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X1,sK8),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_342])]) ).
fof(f2104,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK8)) = k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X1,sK8),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_22
| ~ spl33_268 ),
inference(resolution,[],[f2097,f488]) ).
fof(f488,plain,
( m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_22 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f2848,plain,
( spl33_341
| ~ spl33_21
| ~ spl33_268 ),
inference(avatar_split_clause,[],[f2103,f2096,f481,f2846]) ).
fof(f2846,plain,
( spl33_341
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK7)) = k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X1,sK7),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_341])]) ).
fof(f2103,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK7)) = k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X1,sK7),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_21
| ~ spl33_268 ),
inference(resolution,[],[f2097,f483]) ).
fof(f483,plain,
( m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_21 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f2844,plain,
( spl33_340
| ~ spl33_134
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1397,f1372,f1059,f2842]) ).
fof(f2842,plain,
( spl33_340
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_340])]) ).
fof(f1372,plain,
( spl33_179
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k5_subset_1(u1_struct_0(sK6),sK8,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_179])]) ).
fof(f1397,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_134
| ~ spl33_179 ),
inference(resolution,[],[f1373,f1060]) ).
fof(f1373,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,sK8) = k5_subset_1(u1_struct_0(sK6),sK8,X0) )
| ~ spl33_179 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f2840,plain,
( spl33_339
| ~ spl33_134
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1380,f1368,f1059,f2838]) ).
fof(f2838,plain,
( spl33_339
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_339])]) ).
fof(f1368,plain,
( spl33_178
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k5_subset_1(u1_struct_0(sK6),sK7,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_178])]) ).
fof(f1380,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_134
| ~ spl33_178 ),
inference(resolution,[],[f1369,f1060]) ).
fof(f1369,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,sK7) = k5_subset_1(u1_struct_0(sK6),sK7,X0) )
| ~ spl33_178 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f2814,plain,
( spl33_338
| ~ spl33_187
| ~ spl33_203 ),
inference(avatar_split_clause,[],[f1587,f1556,f1433,f2812]) ).
fof(f2812,plain,
( spl33_338
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| ~ v1_xboole_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_338])]) ).
fof(f1556,plain,
( spl33_203
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_203])]) ).
fof(f1587,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| ~ v1_xboole_0(X2) )
| ~ spl33_187
| ~ spl33_203 ),
inference(resolution,[],[f1557,f1434]) ).
fof(f1557,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0) )
| ~ spl33_203 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f2810,plain,
( spl33_337
| ~ spl33_69
| ~ spl33_203 ),
inference(avatar_split_clause,[],[f1581,f1556,f703,f2808]) ).
fof(f2808,plain,
( spl33_337
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_337])]) ).
fof(f1581,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,k3_xboole_0(X1,X2))
| ~ v1_xboole_0(X1) )
| ~ spl33_69
| ~ spl33_203 ),
inference(resolution,[],[f1557,f704]) ).
fof(f2806,plain,
( spl33_336
| ~ spl33_46
| ~ spl33_199 ),
inference(avatar_split_clause,[],[f1545,f1533,f597,f2804]) ).
fof(f2804,plain,
( spl33_336
<=> ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP1(X0)
| l2_struct_0(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_336])]) ).
fof(f597,plain,
( spl33_46
<=> ! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f1533,plain,
( spl33_199
<=> ! [X0] :
( l1_rlvect_1(sK15(X0))
| ~ l1_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_199])]) ).
fof(f1545,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP1(X0)
| l2_struct_0(sK15(X0)) )
| ~ spl33_46
| ~ spl33_199 ),
inference(resolution,[],[f1534,f598]) ).
fof(f598,plain,
( ! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) )
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1534,plain,
( ! [X0] :
( l1_rlvect_1(sK15(X0))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_199 ),
inference(avatar_component_clause,[],[f1533]) ).
fof(f2802,plain,
( spl33_335
| ~ spl33_46
| ~ spl33_198 ),
inference(avatar_split_clause,[],[f1544,f1529,f597,f2800]) ).
fof(f2800,plain,
( spl33_335
<=> ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP0(X0)
| l2_struct_0(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_335])]) ).
fof(f1529,plain,
( spl33_198
<=> ! [X0] :
( l1_rlvect_1(sK14(X0))
| ~ l1_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_198])]) ).
fof(f1544,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| ~ sP0(X0)
| l2_struct_0(sK14(X0)) )
| ~ spl33_46
| ~ spl33_198 ),
inference(resolution,[],[f1530,f598]) ).
fof(f1530,plain,
( ! [X0] :
( l1_rlvect_1(sK14(X0))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl33_198 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f2750,plain,
( spl33_334
| ~ spl33_88
| ~ spl33_296 ),
inference(avatar_split_clause,[],[f2311,f2295,f792,f2748]) ).
fof(f2311,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK8)
| ~ r2_hidden(u1_struct_0(sK6),X0) )
| ~ spl33_88
| ~ spl33_296 ),
inference(resolution,[],[f2296,f793]) ).
fof(f2736,plain,
( spl33_333
| ~ spl33_22
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2081,f2065,f486,f2734]) ).
fof(f2734,plain,
( spl33_333
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK8)) = k3_xboole_0(X0,k5_subset_1(u1_struct_0(sK6),X1,sK8))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_333])]) ).
fof(f2081,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK8)) = k3_xboole_0(X0,k5_subset_1(u1_struct_0(sK6),X1,sK8))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_22
| ~ spl33_265 ),
inference(resolution,[],[f2066,f488]) ).
fof(f2732,plain,
( spl33_332
| ~ spl33_21
| ~ spl33_265 ),
inference(avatar_split_clause,[],[f2080,f2065,f481,f2730]) ).
fof(f2730,plain,
( spl33_332
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK7)) = k3_xboole_0(X0,k5_subset_1(u1_struct_0(sK6),X1,sK7))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_332])]) ).
fof(f2080,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,k5_subset_1(u1_struct_0(sK6),X1,sK7)) = k3_xboole_0(X0,k5_subset_1(u1_struct_0(sK6),X1,sK7))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_21
| ~ spl33_265 ),
inference(resolution,[],[f2066,f483]) ).
fof(f2728,plain,
( spl33_331
| ~ spl33_100
| ~ spl33_134
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1365,f1329,f1059,f843,f2726]) ).
fof(f2726,plain,
( spl33_331
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK8) = k3_xboole_0(sK8,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_331])]) ).
fof(f1329,plain,
( spl33_177
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k3_xboole_0(X0,sK8)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_177])]) ).
fof(f1365,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK8) = k3_xboole_0(sK8,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_100
| ~ spl33_134
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1355,f844]) ).
fof(f1355,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK8) = k3_xboole_0(k5_subset_1(u1_struct_0(sK6),X0,X1),sK8)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_134
| ~ spl33_177 ),
inference(resolution,[],[f1330,f1060]) ).
fof(f1330,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,sK8) = k3_xboole_0(X0,sK8) )
| ~ spl33_177 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f2724,plain,
( spl33_330
| ~ spl33_100
| ~ spl33_134
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1348,f1325,f1059,f843,f2722]) ).
fof(f2722,plain,
( spl33_330
<=> ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK7) = k3_xboole_0(sK7,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_330])]) ).
fof(f1325,plain,
( spl33_176
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k3_xboole_0(X0,sK7)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_176])]) ).
fof(f1348,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK7) = k3_xboole_0(sK7,k5_subset_1(u1_struct_0(sK6),X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_100
| ~ spl33_134
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1337,f844]) ).
fof(f1337,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(sK6),k5_subset_1(u1_struct_0(sK6),X0,X1),sK7) = k3_xboole_0(k5_subset_1(u1_struct_0(sK6),X0,X1),sK7)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_134
| ~ spl33_176 ),
inference(resolution,[],[f1326,f1060]) ).
fof(f1326,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6)))
| k5_subset_1(u1_struct_0(sK6),X0,sK7) = k3_xboole_0(X0,sK7) )
| ~ spl33_176 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f2708,plain,
( spl33_329
| ~ spl33_67
| ~ spl33_181
| ~ spl33_218 ),
inference(avatar_split_clause,[],[f1662,f1641,f1405,f695,f2706]) ).
fof(f2706,plain,
( spl33_329
<=> ! [X0] : sK30 = k5_subset_1(X0,sK30,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_329])]) ).
fof(f1662,plain,
( ! [X0] : sK30 = k5_subset_1(X0,sK30,sK30)
| ~ spl33_67
| ~ spl33_181
| ~ spl33_218 ),
inference(forward_demodulation,[],[f1653,f1406]) ).
fof(f1653,plain,
( ! [X0] : sK17(X0) = k5_subset_1(X0,sK17(X0),sK17(X0))
| ~ spl33_67
| ~ spl33_218 ),
inference(resolution,[],[f1642,f696]) ).
fof(f2704,plain,
( spl33_328
| ~ spl33_194
| ~ spl33_201 ),
inference(avatar_split_clause,[],[f1549,f1541,f1503,f2702]) ).
fof(f2702,plain,
( spl33_328
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK16(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_328])]) ).
fof(f1541,plain,
( spl33_201
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK16(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_201])]) ).
fof(f1549,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK16(k1_zfmisc_1(X0))) )
| ~ spl33_194
| ~ spl33_201 ),
inference(resolution,[],[f1542,f1504]) ).
fof(f1542,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK16(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl33_201 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f2700,plain,
( spl33_327
| ~ spl33_88
| ~ spl33_194 ),
inference(avatar_split_clause,[],[f1516,f1503,f792,f2698]) ).
fof(f2698,plain,
( spl33_327
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_327])]) ).
fof(f1516,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK16(X0)) )
| ~ spl33_88
| ~ spl33_194 ),
inference(resolution,[],[f1504,f793]) ).
fof(f2687,plain,
( spl33_326
| ~ spl33_46
| ~ spl33_186 ),
inference(avatar_split_clause,[],[f1482,f1429,f597,f2685]) ).
fof(f2685,plain,
( spl33_326
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_326])]) ).
fof(f1429,plain,
( spl33_186
<=> ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_186])]) ).
fof(f1482,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK10(X0)) )
| ~ spl33_46
| ~ spl33_186 ),
inference(resolution,[],[f1430,f598]) ).
fof(f1430,plain,
( ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0) )
| ~ spl33_186 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f2683,plain,
( spl33_325
| ~ spl33_46
| ~ spl33_185 ),
inference(avatar_split_clause,[],[f1481,f1425,f597,f2681]) ).
fof(f2681,plain,
( spl33_325
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK11(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_325])]) ).
fof(f1425,plain,
( spl33_185
<=> ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_185])]) ).
fof(f1481,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK11(X0)) )
| ~ spl33_46
| ~ spl33_185 ),
inference(resolution,[],[f1426,f598]) ).
fof(f1426,plain,
( ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0) )
| ~ spl33_185 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f2679,plain,
( spl33_324
| ~ spl33_46
| ~ spl33_184 ),
inference(avatar_split_clause,[],[f1480,f1421,f597,f2677]) ).
fof(f2677,plain,
( spl33_324
<=> ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_324])]) ).
fof(f1421,plain,
( spl33_184
<=> ! [X0] :
( l1_rlvect_1(sK12(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_184])]) ).
fof(f1480,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| l2_struct_0(sK12(X0)) )
| ~ spl33_46
| ~ spl33_184 ),
inference(resolution,[],[f1422,f598]) ).
fof(f1422,plain,
( ! [X0] :
( l1_rlvect_1(sK12(X0))
| ~ l1_struct_0(X0) )
| ~ spl33_184 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f2675,plain,
( spl33_323
| ~ spl33_50
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1322,f1309,f625,f2673]) ).
fof(f2673,plain,
( spl33_323
<=> ! [X0] : sK30 = k3_xboole_0(X0,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_323])]) ).
fof(f625,plain,
( spl33_50
<=> ! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_50])]) ).
fof(f1309,plain,
( spl33_173
<=> k1_xboole_0 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_173])]) ).
fof(f1322,plain,
( ! [X0] : sK30 = k3_xboole_0(X0,sK30)
| ~ spl33_50
| ~ spl33_173 ),
inference(superposition,[],[f626,f1311]) ).
fof(f1311,plain,
( k1_xboole_0 = sK30
| ~ spl33_173 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f626,plain,
( ! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0)
| ~ spl33_50 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f2670,plain,
( spl33_159
| spl33_322
| ~ spl33_94
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1396,f1372,f818,f2667,f1220]) ).
fof(f2667,plain,
( spl33_322
<=> k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_322])]) ).
fof(f1396,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,sK9(u1_struct_0(sK6)))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_94
| ~ spl33_179 ),
inference(resolution,[],[f1373,f819]) ).
fof(f2665,plain,
( ~ spl33_321
| ~ spl33_293
| ~ spl33_294 ),
inference(avatar_split_clause,[],[f2577,f2277,f2270,f2662]) ).
fof(f2662,plain,
( spl33_321
<=> r2_hidden(u1_struct_0(sK6),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_321])]) ).
fof(f2270,plain,
( spl33_293
<=> ! [X0] :
( ~ r2_hidden(X0,sK7)
| r2_hidden(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_293])]) ).
fof(f2277,plain,
( spl33_294
<=> ! [X0] :
( ~ r2_hidden(X0,sK7)
| ~ r2_hidden(u1_struct_0(sK6),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_294])]) ).
fof(f2577,plain,
( ~ r2_hidden(u1_struct_0(sK6),sK7)
| ~ spl33_293
| ~ spl33_294 ),
inference(duplicate_literal_removal,[],[f2575]) ).
fof(f2575,plain,
( ~ r2_hidden(u1_struct_0(sK6),sK7)
| ~ r2_hidden(u1_struct_0(sK6),sK7)
| ~ spl33_293
| ~ spl33_294 ),
inference(resolution,[],[f2278,f2271]) ).
fof(f2271,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK7) )
| ~ spl33_293 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f2278,plain,
( ! [X0] :
( ~ r2_hidden(u1_struct_0(sK6),X0)
| ~ r2_hidden(X0,sK7) )
| ~ spl33_294 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f2659,plain,
( spl33_159
| spl33_320
| ~ spl33_94
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1379,f1368,f818,f2656,f1220]) ).
fof(f2656,plain,
( spl33_320
<=> k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_320])]) ).
fof(f1379,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,sK9(u1_struct_0(sK6)))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_94
| ~ spl33_178 ),
inference(resolution,[],[f1369,f819]) ).
fof(f2653,plain,
( spl33_14
| ~ spl33_140
| spl33_319
| ~ spl33_122
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1394,f1372,f981,f2650,f1109,f446]) ).
fof(f1109,plain,
( spl33_140
<=> l1_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_140])]) ).
fof(f2650,plain,
( spl33_319
<=> k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,sK13(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_319])]) ).
fof(f1394,plain,
( k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,sK13(sK6))
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_122
| ~ spl33_179 ),
inference(resolution,[],[f1373,f982]) ).
fof(f2647,plain,
( spl33_14
| ~ spl33_140
| spl33_318
| ~ spl33_122
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1377,f1368,f981,f2644,f1109,f446]) ).
fof(f2644,plain,
( spl33_318
<=> k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,sK13(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_318])]) ).
fof(f1377,plain,
( k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,sK13(sK6))
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_122
| ~ spl33_178 ),
inference(resolution,[],[f1369,f982]) ).
fof(f2606,plain,
( spl33_317
| ~ spl33_67
| ~ spl33_181 ),
inference(avatar_split_clause,[],[f1408,f1405,f695,f2604]) ).
fof(f1408,plain,
( ! [X0] : m1_subset_1(sK30,k1_zfmisc_1(X0))
| ~ spl33_67
| ~ spl33_181 ),
inference(superposition,[],[f696,f1406]) ).
fof(f2597,plain,
( spl33_159
| spl33_316
| ~ spl33_22
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1806,f1777,f486,f2594,f1220]) ).
fof(f2594,plain,
( spl33_316
<=> k3_xboole_0(sK8,sK9(u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK8,sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_316])]) ).
fof(f1806,plain,
( k3_xboole_0(sK8,sK9(u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK8,sK9(u1_struct_0(sK6)))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_22
| ~ spl33_234 ),
inference(resolution,[],[f1778,f488]) ).
fof(f2587,plain,
( spl33_159
| spl33_315
| ~ spl33_21
| ~ spl33_234 ),
inference(avatar_split_clause,[],[f1805,f1777,f481,f2584,f1220]) ).
fof(f2584,plain,
( spl33_315
<=> k3_xboole_0(sK7,sK9(u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK7,sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_315])]) ).
fof(f1805,plain,
( k3_xboole_0(sK7,sK9(u1_struct_0(sK6))) = k5_subset_1(u1_struct_0(sK6),sK7,sK9(u1_struct_0(sK6)))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_21
| ~ spl33_234 ),
inference(resolution,[],[f1778,f483]) ).
fof(f2572,plain,
( spl33_159
| spl33_314
| ~ spl33_94
| ~ spl33_100
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1364,f1329,f843,f818,f2569,f1220]) ).
fof(f2569,plain,
( spl33_314
<=> k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK8) = k3_xboole_0(sK8,sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_314])]) ).
fof(f1364,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK8) = k3_xboole_0(sK8,sK9(u1_struct_0(sK6)))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_94
| ~ spl33_100
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1354,f844]) ).
fof(f1354,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK8) = k3_xboole_0(sK9(u1_struct_0(sK6)),sK8)
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_94
| ~ spl33_177 ),
inference(resolution,[],[f1330,f819]) ).
fof(f2536,plain,
( spl33_14
| ~ spl33_140
| spl33_313
| ~ spl33_21
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f1949,f1896,f481,f2533,f1109,f446]) ).
fof(f2533,plain,
( spl33_313
<=> k3_xboole_0(sK7,sK13(sK6)) = k5_subset_1(u1_struct_0(sK6),sK7,sK13(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_313])]) ).
fof(f1949,plain,
( k3_xboole_0(sK7,sK13(sK6)) = k5_subset_1(u1_struct_0(sK6),sK7,sK13(sK6))
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_21
| ~ spl33_242 ),
inference(resolution,[],[f1897,f483]) ).
fof(f2526,plain,
( spl33_14
| ~ spl33_140
| spl33_312
| ~ spl33_100
| ~ spl33_122
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1342,f1325,f981,f843,f2523,f1109,f446]) ).
fof(f2523,plain,
( spl33_312
<=> k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK7) = k3_xboole_0(sK7,sK13(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_312])]) ).
fof(f1342,plain,
( k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK7) = k3_xboole_0(sK7,sK13(sK6))
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_100
| ~ spl33_122
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1334,f844]) ).
fof(f1334,plain,
( k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK7) = k3_xboole_0(sK13(sK6),sK7)
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_122
| ~ spl33_176 ),
inference(resolution,[],[f1326,f982]) ).
fof(f2480,plain,
( spl33_311
| ~ spl33_188
| ~ spl33_302
| ~ spl33_310 ),
inference(avatar_split_clause,[],[f2475,f2470,f2372,f1437,f2477]) ).
fof(f2470,plain,
( spl33_310
<=> k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK7) = k3_xboole_0(sK7,sK9(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_310])]) ).
fof(f2475,plain,
( sK30 = k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK30)
| ~ spl33_188
| ~ spl33_302
| ~ spl33_310 ),
inference(forward_demodulation,[],[f2474,f1438]) ).
fof(f2474,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK30) = k3_xboole_0(sK30,sK9(u1_struct_0(sK6)))
| ~ spl33_302
| ~ spl33_310 ),
inference(forward_demodulation,[],[f2472,f2374]) ).
fof(f2472,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK7) = k3_xboole_0(sK7,sK9(u1_struct_0(sK6)))
| ~ spl33_310 ),
inference(avatar_component_clause,[],[f2470]) ).
fof(f2473,plain,
( spl33_159
| spl33_310
| ~ spl33_94
| ~ spl33_100
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1347,f1325,f843,f818,f2470,f1220]) ).
fof(f1347,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK7) = k3_xboole_0(sK7,sK9(u1_struct_0(sK6)))
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_94
| ~ spl33_100
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1336,f844]) ).
fof(f1336,plain,
( k5_subset_1(u1_struct_0(sK6),sK9(u1_struct_0(sK6)),sK7) = k3_xboole_0(sK9(u1_struct_0(sK6)),sK7)
| v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_94
| ~ spl33_176 ),
inference(resolution,[],[f1326,f819]) ).
fof(f2416,plain,
( spl33_14
| ~ spl33_140
| spl33_309
| ~ spl33_22
| ~ spl33_242 ),
inference(avatar_split_clause,[],[f1950,f1896,f486,f2413,f1109,f446]) ).
fof(f2413,plain,
( spl33_309
<=> k3_xboole_0(sK8,sK13(sK6)) = k5_subset_1(u1_struct_0(sK6),sK8,sK13(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_309])]) ).
fof(f1950,plain,
( k3_xboole_0(sK8,sK13(sK6)) = k5_subset_1(u1_struct_0(sK6),sK8,sK13(sK6))
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_22
| ~ spl33_242 ),
inference(resolution,[],[f1897,f488]) ).
fof(f2411,plain,
( spl33_308
| ~ spl33_48
| ~ spl33_100
| ~ spl33_177
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1403,f1372,f1329,f843,f605,f2408]) ).
fof(f2408,plain,
( spl33_308
<=> k3_xboole_0(sK8,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) = k5_subset_1(u1_struct_0(sK6),sK8,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_308])]) ).
fof(f1403,plain,
( k3_xboole_0(sK8,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) = k5_subset_1(u1_struct_0(sK6),sK8,sK16(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl33_48
| ~ spl33_100
| ~ spl33_177
| ~ spl33_179 ),
inference(forward_demodulation,[],[f1399,f1366]) ).
fof(f1366,plain,
( k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK8) = k3_xboole_0(sK8,sK16(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl33_48
| ~ spl33_100
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1357,f844]) ).
fof(f1357,plain,
( k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK8) = k3_xboole_0(sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK8)
| ~ spl33_48
| ~ spl33_177 ),
inference(resolution,[],[f1330,f606]) ).
fof(f1399,plain,
( k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,sK16(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl33_48
| ~ spl33_179 ),
inference(resolution,[],[f1373,f606]) ).
fof(f2406,plain,
( spl33_307
| ~ spl33_107
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1398,f1372,f871,f2404]) ).
fof(f2404,plain,
( spl33_307
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k5_subset_1(u1_struct_0(sK6),sK8,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_307])]) ).
fof(f1398,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k5_subset_1(u1_struct_0(sK6),sK8,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl33_107
| ~ spl33_179 ),
inference(resolution,[],[f1373,f872]) ).
fof(f2400,plain,
( spl33_306
| ~ spl33_48
| ~ spl33_100
| ~ spl33_176
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1386,f1368,f1325,f843,f605,f2397]) ).
fof(f2397,plain,
( spl33_306
<=> k3_xboole_0(sK7,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) = k5_subset_1(u1_struct_0(sK6),sK7,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_306])]) ).
fof(f1386,plain,
( k3_xboole_0(sK7,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) = k5_subset_1(u1_struct_0(sK6),sK7,sK16(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl33_48
| ~ spl33_100
| ~ spl33_176
| ~ spl33_178 ),
inference(forward_demodulation,[],[f1382,f1349]) ).
fof(f1349,plain,
( k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK7) = k3_xboole_0(sK7,sK16(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl33_48
| ~ spl33_100
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1339,f844]) ).
fof(f1339,plain,
( k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK7) = k3_xboole_0(sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK7)
| ~ spl33_48
| ~ spl33_176 ),
inference(resolution,[],[f1326,f606]) ).
fof(f1382,plain,
( k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,sK16(k1_zfmisc_1(u1_struct_0(sK6))))
| ~ spl33_48
| ~ spl33_178 ),
inference(resolution,[],[f1369,f606]) ).
fof(f2394,plain,
( spl33_305
| ~ spl33_107
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1381,f1368,f871,f2392]) ).
fof(f2392,plain,
( spl33_305
<=> ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k5_subset_1(u1_struct_0(sK6),sK7,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_305])]) ).
fof(f1381,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k5_subset_1(u1_struct_0(sK6),sK7,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl33_107
| ~ spl33_178 ),
inference(resolution,[],[f1369,f872]) ).
fof(f2390,plain,
( spl33_304
| ~ spl33_48
| ~ spl33_100
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1366,f1329,f843,f605,f2387]) ).
fof(f2387,plain,
( spl33_304
<=> k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK8) = k3_xboole_0(sK8,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_304])]) ).
fof(f2380,plain,
( spl33_14
| ~ spl33_140
| spl33_303
| ~ spl33_100
| ~ spl33_122
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1359,f1329,f981,f843,f2377,f1109,f446]) ).
fof(f2377,plain,
( spl33_303
<=> k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK8) = k3_xboole_0(sK8,sK13(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_303])]) ).
fof(f1359,plain,
( k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK8) = k3_xboole_0(sK8,sK13(sK6))
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_100
| ~ spl33_122
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1352,f844]) ).
fof(f1352,plain,
( k5_subset_1(u1_struct_0(sK6),sK13(sK6),sK8) = k3_xboole_0(sK13(sK6),sK8)
| ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_122
| ~ spl33_177 ),
inference(resolution,[],[f1330,f982]) ).
fof(f2375,plain,
( spl33_302
| ~ spl33_190
| ~ spl33_295 ),
inference(avatar_split_clause,[],[f2300,f2286,f1445,f2372]) ).
fof(f2300,plain,
( sK7 = sK30
| ~ spl33_190
| ~ spl33_295 ),
inference(resolution,[],[f2288,f1446]) ).
fof(f2288,plain,
( v1_xboole_0(sK7)
| ~ spl33_295 ),
inference(avatar_component_clause,[],[f2286]) ).
fof(f2368,plain,
( spl33_301
| ~ spl33_48
| ~ spl33_100
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1349,f1325,f843,f605,f2365]) ).
fof(f2365,plain,
( spl33_301
<=> k5_subset_1(u1_struct_0(sK6),sK16(k1_zfmisc_1(u1_struct_0(sK6))),sK7) = k3_xboole_0(sK7,sK16(k1_zfmisc_1(u1_struct_0(sK6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_301])]) ).
fof(f2331,plain,
( spl33_300
| ~ spl33_22
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1762,f1751,f486,f2329]) ).
fof(f1762,plain,
( ! [X0] :
( k3_xboole_0(sK8,X0) = k5_subset_1(u1_struct_0(sK6),sK8,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl33_22
| ~ spl33_231 ),
inference(resolution,[],[f1752,f488]) ).
fof(f2325,plain,
( spl33_299
| ~ spl33_21
| ~ spl33_231 ),
inference(avatar_split_clause,[],[f1761,f1751,f481,f2323]) ).
fof(f1761,plain,
( ! [X0] :
( k3_xboole_0(sK7,X0) = k5_subset_1(u1_struct_0(sK6),sK7,X0)
| ~ r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl33_21
| ~ spl33_231 ),
inference(resolution,[],[f1752,f483]) ).
fof(f2321,plain,
( spl33_298
| ~ spl33_107
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1356,f1329,f871,f2319]) ).
fof(f1356,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k3_xboole_0(X0,sK8)
| ~ r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl33_107
| ~ spl33_177 ),
inference(resolution,[],[f1330,f872]) ).
fof(f2315,plain,
( spl33_297
| ~ spl33_107
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1338,f1325,f871,f2313]) ).
fof(f1338,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k3_xboole_0(X0,sK7)
| ~ r1_tarski(X0,u1_struct_0(sK6)) )
| ~ spl33_107
| ~ spl33_176 ),
inference(resolution,[],[f1326,f872]) ).
fof(f2303,plain,
( spl33_14
| ~ spl33_140
| ~ spl33_98
| ~ spl33_159 ),
inference(avatar_split_clause,[],[f2281,f1220,f835,f1109,f446]) ).
fof(f835,plain,
( spl33_98
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_98])]) ).
fof(f2281,plain,
( ~ l1_struct_0(sK6)
| v3_struct_0(sK6)
| ~ spl33_98
| ~ spl33_159 ),
inference(resolution,[],[f1221,f836]) ).
fof(f836,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_98 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f1221,plain,
( v1_xboole_0(u1_struct_0(sK6))
| ~ spl33_159 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f2297,plain,
( spl33_159
| spl33_296
| ~ spl33_110
| ~ spl33_161 ),
inference(avatar_split_clause,[],[f1233,f1229,f914,f2295,f1220]) ).
fof(f914,plain,
( spl33_110
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_110])]) ).
fof(f1229,plain,
( spl33_161
<=> ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_161])]) ).
fof(f1233,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK8)
| v1_xboole_0(u1_struct_0(sK6))
| r2_hidden(X0,u1_struct_0(sK6)) )
| ~ spl33_110
| ~ spl33_161 ),
inference(resolution,[],[f1230,f915]) ).
fof(f915,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl33_110 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f1230,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK8) )
| ~ spl33_161 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f2289,plain,
( spl33_295
| ~ spl33_158
| ~ spl33_194 ),
inference(avatar_split_clause,[],[f2280,f1503,f1217,f2286]) ).
fof(f1217,plain,
( spl33_158
<=> ! [X0] : ~ r2_hidden(X0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_158])]) ).
fof(f2280,plain,
( v1_xboole_0(sK7)
| ~ spl33_158
| ~ spl33_194 ),
inference(resolution,[],[f1218,f1504]) ).
fof(f1218,plain,
( ! [X0] : ~ r2_hidden(X0,sK7)
| ~ spl33_158 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f2279,plain,
( spl33_294
| ~ spl33_88
| ~ spl33_293 ),
inference(avatar_split_clause,[],[f2275,f2270,f792,f2277]) ).
fof(f2275,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK7)
| ~ r2_hidden(u1_struct_0(sK6),X0) )
| ~ spl33_88
| ~ spl33_293 ),
inference(resolution,[],[f2271,f793]) ).
fof(f2272,plain,
( spl33_159
| spl33_293
| ~ spl33_110
| ~ spl33_160 ),
inference(avatar_split_clause,[],[f1232,f1225,f914,f2270,f1220]) ).
fof(f1232,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK7)
| v1_xboole_0(u1_struct_0(sK6))
| r2_hidden(X0,u1_struct_0(sK6)) )
| ~ spl33_110
| ~ spl33_160 ),
inference(resolution,[],[f1226,f915]) ).
fof(f2257,plain,
( spl33_292
| ~ spl33_21
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1350,f1329,f481,f2254]) ).
fof(f1350,plain,
( k5_subset_1(u1_struct_0(sK6),sK7,sK8) = k3_xboole_0(sK7,sK8)
| ~ spl33_21
| ~ spl33_177 ),
inference(resolution,[],[f1330,f483]) ).
fof(f2252,plain,
( spl33_291
| ~ spl33_22
| ~ spl33_100
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1341,f1325,f843,f486,f2249]) ).
fof(f1341,plain,
( k5_subset_1(u1_struct_0(sK6),sK8,sK7) = k3_xboole_0(sK7,sK8)
| ~ spl33_22
| ~ spl33_100
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1333,f844]) ).
fof(f1333,plain,
( k5_subset_1(u1_struct_0(sK6),sK8,sK7) = k3_xboole_0(sK8,sK7)
| ~ spl33_22
| ~ spl33_176 ),
inference(resolution,[],[f1326,f488]) ).
fof(f2242,plain,
( spl33_290
| ~ spl33_47
| ~ spl33_167 ),
inference(avatar_split_clause,[],[f1282,f1260,f601,f2239]) ).
fof(f2239,plain,
( spl33_290
<=> l1_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_290])]) ).
fof(f1260,plain,
( spl33_167
<=> l2_struct_0(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_167])]) ).
fof(f1282,plain,
( l1_struct_0(sK27)
| ~ spl33_47
| ~ spl33_167 ),
inference(resolution,[],[f1262,f602]) ).
fof(f1262,plain,
( l2_struct_0(sK27)
| ~ spl33_167 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f2237,plain,
( spl33_289
| ~ spl33_41
| ~ spl33_166 ),
inference(avatar_split_clause,[],[f1281,f1255,f577,f2234]) ).
fof(f577,plain,
( spl33_41
<=> ! [X0] :
( l1_vectsp_1(X0)
| ~ l2_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_41])]) ).
fof(f1255,plain,
( spl33_166
<=> l2_vectsp_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_166])]) ).
fof(f1281,plain,
( l1_vectsp_1(sK26)
| ~ spl33_41
| ~ spl33_166 ),
inference(resolution,[],[f1257,f578]) ).
fof(f578,plain,
( ! [X0] :
( ~ l2_vectsp_1(X0)
| l1_vectsp_1(X0) )
| ~ spl33_41 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f1257,plain,
( l2_vectsp_1(sK26)
| ~ spl33_166 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f2232,plain,
( spl33_288
| ~ spl33_46
| ~ spl33_165 ),
inference(avatar_split_clause,[],[f1279,f1250,f597,f2229]) ).
fof(f1250,plain,
( spl33_165
<=> l1_rlvect_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_165])]) ).
fof(f1279,plain,
( l2_struct_0(sK26)
| ~ spl33_46
| ~ spl33_165 ),
inference(resolution,[],[f1252,f598]) ).
fof(f1252,plain,
( l1_rlvect_1(sK26)
| ~ spl33_165 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f2227,plain,
( spl33_287
| ~ spl33_40
| ~ spl33_164 ),
inference(avatar_split_clause,[],[f1278,f1245,f573,f2224]) ).
fof(f2224,plain,
( spl33_287
<=> l1_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_287])]) ).
fof(f573,plain,
( spl33_40
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_40])]) ).
fof(f1245,plain,
( spl33_164
<=> l1_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_164])]) ).
fof(f1278,plain,
( l1_struct_0(sK25)
| ~ spl33_40
| ~ spl33_164 ),
inference(resolution,[],[f1247,f574]) ).
fof(f574,plain,
( ! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) )
| ~ spl33_40 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f1247,plain,
( l1_group_1(sK25)
| ~ spl33_164 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f2222,plain,
( spl33_286
| ~ spl33_139
| ~ spl33_149 ),
inference(avatar_split_clause,[],[f1170,f1167,f1105,f2220]) ).
fof(f2220,plain,
( spl33_286
<=> ! [X0,X3,X2,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| k2_rmod_3(X1,X2,X3,X0) = g1_vectsp_2(X1,u1_struct_0(k2_rmod_3(X1,X2,X3,X0)),u1_rlvect_1(k2_rmod_3(X1,X2,X3,X0)),u2_struct_0(k2_rmod_3(X1,X2,X3,X0)),u1_vectsp_2(X1,k2_rmod_3(X1,X2,X3,X0)))
| ~ l1_vectsp_2(k2_rmod_3(X1,X2,X3,X0),X1)
| ~ l1_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_286])]) ).
fof(f1105,plain,
( spl33_139
<=> ! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_139])]) ).
fof(f1167,plain,
( spl33_149
<=> ! [X0,X3,X2,X1] :
( v3_vectsp_2(k2_rmod_3(X0,X1,X2,X3),X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_149])]) ).
fof(f1170,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| k2_rmod_3(X1,X2,X3,X0) = g1_vectsp_2(X1,u1_struct_0(k2_rmod_3(X1,X2,X3,X0)),u1_rlvect_1(k2_rmod_3(X1,X2,X3,X0)),u2_struct_0(k2_rmod_3(X1,X2,X3,X0)),u1_vectsp_2(X1,k2_rmod_3(X1,X2,X3,X0)))
| ~ l1_vectsp_2(k2_rmod_3(X1,X2,X3,X0),X1)
| ~ l1_struct_0(X1) )
| ~ spl33_139
| ~ spl33_149 ),
inference(resolution,[],[f1168,f1106]) ).
fof(f1106,plain,
( ! [X0,X1] :
( ~ v3_vectsp_2(X1,X0)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) )
| ~ spl33_139 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1168,plain,
( ! [X2,X3,X0,X1] :
( v3_vectsp_2(k2_rmod_3(X0,X1,X2,X3),X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_149 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f2218,plain,
( spl33_285
| ~ spl33_139
| ~ spl33_152 ),
inference(avatar_split_clause,[],[f1186,f1183,f1105,f2216]) ).
fof(f2216,plain,
( spl33_285
<=> ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| k1_rmod_5(X2,X1,X0) = g1_vectsp_2(X2,u1_struct_0(k1_rmod_5(X2,X1,X0)),u1_rlvect_1(k1_rmod_5(X2,X1,X0)),u2_struct_0(k1_rmod_5(X2,X1,X0)),u1_vectsp_2(X2,k1_rmod_5(X2,X1,X0)))
| ~ l1_vectsp_2(k1_rmod_5(X2,X1,X0),X2)
| ~ l1_struct_0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_285])]) ).
fof(f1183,plain,
( spl33_152
<=> ! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_152])]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| k1_rmod_5(X2,X1,X0) = g1_vectsp_2(X2,u1_struct_0(k1_rmod_5(X2,X1,X0)),u1_rlvect_1(k1_rmod_5(X2,X1,X0)),u2_struct_0(k1_rmod_5(X2,X1,X0)),u1_vectsp_2(X2,k1_rmod_5(X2,X1,X0)))
| ~ l1_vectsp_2(k1_rmod_5(X2,X1,X0),X2)
| ~ l1_struct_0(X2) )
| ~ spl33_139
| ~ spl33_152 ),
inference(resolution,[],[f1184,f1106]) ).
fof(f1184,plain,
( ! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_152 ),
inference(avatar_component_clause,[],[f1183]) ).
fof(f2207,plain,
( spl33_284
| ~ spl33_47
| ~ spl33_163 ),
inference(avatar_split_clause,[],[f1277,f1240,f601,f2204]) ).
fof(f2204,plain,
( spl33_284
<=> l1_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_284])]) ).
fof(f1240,plain,
( spl33_163
<=> l2_struct_0(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_163])]) ).
fof(f1277,plain,
( l1_struct_0(sK24)
| ~ spl33_47
| ~ spl33_163 ),
inference(resolution,[],[f1242,f602]) ).
fof(f1242,plain,
( l2_struct_0(sK24)
| ~ spl33_163 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f2202,plain,
( spl33_283
| ~ spl33_145
| ~ spl33_153 ),
inference(avatar_split_clause,[],[f1192,f1188,f1145,f2200]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| sP2(X2,k1_rmod_5(X2,X1,X0)) )
| ~ spl33_145
| ~ spl33_153 ),
inference(duplicate_literal_removal,[],[f1191]) ).
fof(f1191,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v2_vectsp_2(X2)
| v10_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_group_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| sP2(X2,k1_rmod_5(X2,X1,X0))
| ~ l1_vectsp_2(X1,X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2) )
| ~ spl33_145
| ~ spl33_153 ),
inference(resolution,[],[f1189,f1146]) ).
fof(f2198,plain,
( spl33_282
| ~ spl33_92
| ~ spl33_148 ),
inference(avatar_split_clause,[],[f1165,f1162,f809,f2196]) ).
fof(f2196,plain,
( spl33_282
<=> ! [X0,X3,X2,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_282])]) ).
fof(f1165,plain,
( ! [X2,X3,X0,X1] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)))
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) )
| ~ spl33_92
| ~ spl33_148 ),
inference(resolution,[],[f1163,f810]) ).
fof(f2187,plain,
( spl33_281
| ~ spl33_145
| ~ spl33_150 ),
inference(avatar_split_clause,[],[f1181,f1172,f1145,f2185]) ).
fof(f1172,plain,
( spl33_150
<=> ! [X0,X3,X2,X1] :
( m1_rmod_2(k2_rmod_3(X0,X1,X2,X3),X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_150])]) ).
fof(f1181,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| sP2(X1,k2_rmod_3(X1,X2,X3,X0)) )
| ~ spl33_145
| ~ spl33_150 ),
inference(duplicate_literal_removal,[],[f1180]) ).
fof(f1180,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X0,X1,X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| sP2(X1,k2_rmod_3(X1,X2,X3,X0))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ spl33_145
| ~ spl33_150 ),
inference(resolution,[],[f1173,f1146]) ).
fof(f1173,plain,
( ! [X2,X3,X0,X1] :
( m1_rmod_2(k2_rmod_3(X0,X1,X2,X3),X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_150 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f2183,plain,
( spl33_280
| ~ spl33_92
| ~ spl33_147 ),
inference(avatar_split_clause,[],[f1160,f1153,f809,f2181]) ).
fof(f2181,plain,
( spl33_280
<=> ! [X0,X3,X2,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_280])]) ).
fof(f1160,plain,
( ! [X2,X3,X0,X1] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_92
| ~ spl33_147 ),
inference(resolution,[],[f1154,f810]) ).
fof(f2179,plain,
( spl33_279
| ~ spl33_92
| ~ spl33_146 ),
inference(avatar_split_clause,[],[f1159,f1149,f809,f2177]) ).
fof(f2177,plain,
( spl33_279
<=> ! [X0,X3,X2,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_279])]) ).
fof(f1159,plain,
( ! [X2,X3,X0,X1] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1)),X0)
| ~ v1_funct_2(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1),k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(sK20(k2_zfmisc_1(X1,u1_struct_0(X0)),X1))
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_92
| ~ spl33_146 ),
inference(resolution,[],[f1150,f810]) ).
fof(f2170,plain,
( spl33_278
| ~ spl33_43
| ~ spl33_162 ),
inference(avatar_split_clause,[],[f1276,f1235,f585,f2167]) ).
fof(f2167,plain,
( spl33_278
<=> l1_group_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_278])]) ).
fof(f1276,plain,
( l1_group_1(sK24)
| ~ spl33_43
| ~ spl33_162 ),
inference(resolution,[],[f1237,f586]) ).
fof(f2165,plain,
( spl33_277
| ~ spl33_154 ),
inference(avatar_split_clause,[],[f1197,f1194,f2163]) ).
fof(f1194,plain,
( spl33_154
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_154])]) ).
fof(f1197,plain,
( ! [X2,X3,X0,X1,X4] :
( sP4(X0,X0,X1,X1,X2,X2,X3,X3,X4,X4)
| ~ m1_relset_1(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_2(X0,k2_zfmisc_1(X3,u1_struct_0(X4)),X3)
| ~ v1_funct_1(X0)
| ~ m1_subset_1(X1,X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X4) )
| ~ spl33_154 ),
inference(equality_resolution,[],[f1195]) ).
fof(f1195,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9)
| sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) )
| ~ spl33_154 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f2159,plain,
( spl33_276
| ~ spl33_85
| ~ spl33_143 ),
inference(avatar_split_clause,[],[f1139,f1131,f780,f2157]) ).
fof(f1131,plain,
( spl33_143
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_143])]) ).
fof(f1139,plain,
( ! [X0] :
( sP3(X0,sK15(X0))
| ~ v5_vectsp_2(sK15(X0),X0)
| ~ v6_rlvect_1(sK15(X0))
| ~ v5_rlvect_1(sK15(X0))
| ~ v4_rlvect_1(sK15(X0))
| ~ v3_rlvect_1(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_85
| ~ spl33_143 ),
inference(resolution,[],[f1132,f781]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| sP3(X0,X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_143 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f2155,plain,
( spl33_275
| ~ spl33_83
| ~ spl33_143 ),
inference(avatar_split_clause,[],[f1138,f1131,f772,f2153]) ).
fof(f2153,plain,
( spl33_275
<=> ! [X0] :
( sP3(X0,sK14(X0))
| ~ v5_vectsp_2(sK14(X0),X0)
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_275])]) ).
fof(f1138,plain,
( ! [X0] :
( sP3(X0,sK14(X0))
| ~ v5_vectsp_2(sK14(X0),X0)
| ~ v6_rlvect_1(sK14(X0))
| ~ v5_rlvect_1(sK14(X0))
| ~ v4_rlvect_1(sK14(X0))
| ~ v3_rlvect_1(sK14(X0))
| v3_struct_0(sK14(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP0(X0) )
| ~ spl33_83
| ~ spl33_143 ),
inference(resolution,[],[f1132,f773]) ).
fof(f2151,plain,
( spl33_274
| ~ spl33_80
| ~ spl33_143 ),
inference(avatar_split_clause,[],[f1137,f1131,f759,f2149]) ).
fof(f2149,plain,
( spl33_274
<=> ! [X0] :
( sP3(X0,sK12(X0))
| ~ v5_vectsp_2(sK12(X0),X0)
| ~ v6_rlvect_1(sK12(X0))
| ~ v5_rlvect_1(sK12(X0))
| ~ v4_rlvect_1(sK12(X0))
| ~ v3_rlvect_1(sK12(X0))
| v3_struct_0(sK12(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_274])]) ).
fof(f1137,plain,
( ! [X0] :
( sP3(X0,sK12(X0))
| ~ v5_vectsp_2(sK12(X0),X0)
| ~ v6_rlvect_1(sK12(X0))
| ~ v5_rlvect_1(sK12(X0))
| ~ v4_rlvect_1(sK12(X0))
| ~ v3_rlvect_1(sK12(X0))
| v3_struct_0(sK12(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_80
| ~ spl33_143 ),
inference(resolution,[],[f1132,f760]) ).
fof(f2147,plain,
( spl33_273
| ~ spl33_79
| ~ spl33_143 ),
inference(avatar_split_clause,[],[f1136,f1131,f755,f2145]) ).
fof(f2145,plain,
( spl33_273
<=> ! [X0] :
( sP3(X0,sK11(X0))
| ~ v5_vectsp_2(sK11(X0),X0)
| ~ v6_rlvect_1(sK11(X0))
| ~ v5_rlvect_1(sK11(X0))
| ~ v4_rlvect_1(sK11(X0))
| ~ v3_rlvect_1(sK11(X0))
| v3_struct_0(sK11(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_273])]) ).
fof(f755,plain,
( spl33_79
<=> ! [X0] :
( l1_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_79])]) ).
fof(f1136,plain,
( ! [X0] :
( sP3(X0,sK11(X0))
| ~ v5_vectsp_2(sK11(X0),X0)
| ~ v6_rlvect_1(sK11(X0))
| ~ v5_rlvect_1(sK11(X0))
| ~ v4_rlvect_1(sK11(X0))
| ~ v3_rlvect_1(sK11(X0))
| v3_struct_0(sK11(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_79
| ~ spl33_143 ),
inference(resolution,[],[f1132,f756]) ).
fof(f756,plain,
( ! [X0] :
( l1_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl33_79 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f2138,plain,
( spl33_272
| ~ spl33_78
| ~ spl33_143 ),
inference(avatar_split_clause,[],[f1135,f1131,f751,f2136]) ).
fof(f2136,plain,
( spl33_272
<=> ! [X0] :
( sP3(X0,sK10(X0))
| ~ v5_vectsp_2(sK10(X0),X0)
| ~ v6_rlvect_1(sK10(X0))
| ~ v5_rlvect_1(sK10(X0))
| ~ v4_rlvect_1(sK10(X0))
| ~ v3_rlvect_1(sK10(X0))
| v3_struct_0(sK10(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_272])]) ).
fof(f751,plain,
( spl33_78
<=> ! [X0] :
( l1_vectsp_2(sK10(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_78])]) ).
fof(f1135,plain,
( ! [X0] :
( sP3(X0,sK10(X0))
| ~ v5_vectsp_2(sK10(X0),X0)
| ~ v6_rlvect_1(sK10(X0))
| ~ v5_rlvect_1(sK10(X0))
| ~ v4_rlvect_1(sK10(X0))
| ~ v3_rlvect_1(sK10(X0))
| v3_struct_0(sK10(X0))
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_78
| ~ spl33_143 ),
inference(resolution,[],[f1132,f752]) ).
fof(f752,plain,
( ! [X0] :
( l1_vectsp_2(sK10(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl33_78 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f2127,plain,
( spl33_271
| ~ spl33_116
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1156,f1145,f949,f2125]) ).
fof(f949,plain,
( spl33_116
<=> ! [X0,X1] :
( m1_rmod_2(sK19(X0,X1),X0,X1)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_116])]) ).
fof(f1156,plain,
( ! [X0,X1] :
( sP2(X0,sK19(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ sP3(X0,X1) )
| ~ spl33_116
| ~ spl33_145 ),
inference(resolution,[],[f1146,f950]) ).
fof(f950,plain,
( ! [X0,X1] :
( m1_rmod_2(sK19(X0,X1),X0,X1)
| ~ sP3(X0,X1) )
| ~ spl33_116 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f2116,plain,
( spl33_270
| ~ spl33_144
| ~ spl33_145 ),
inference(avatar_split_clause,[],[f1158,f1145,f1141,f2114]) ).
fof(f1141,plain,
( spl33_144
<=> ! [X0,X1] :
( m1_rmod_2(sK18(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_144])]) ).
fof(f1158,plain,
( ! [X0,X1] :
( sP2(X0,sK18(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_144
| ~ spl33_145 ),
inference(duplicate_literal_removal,[],[f1157]) ).
fof(f1157,plain,
( ! [X0,X1] :
( sP2(X0,sK18(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_144
| ~ spl33_145 ),
inference(resolution,[],[f1146,f1142]) ).
fof(f1142,plain,
( ! [X0,X1] :
( m1_rmod_2(sK18(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_144 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f2112,plain,
( spl33_269
| ~ spl33_112
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1116,f1105,f922,f2110]) ).
fof(f2110,plain,
( spl33_269
<=> ! [X0,X1] :
( sK19(X0,X1) = g1_vectsp_2(X0,u1_struct_0(sK19(X0,X1)),u1_rlvect_1(sK19(X0,X1)),u2_struct_0(sK19(X0,X1)),u1_vectsp_2(X0,sK19(X0,X1)))
| ~ l1_vectsp_2(sK19(X0,X1),X0)
| ~ l1_struct_0(X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_269])]) ).
fof(f922,plain,
( spl33_112
<=> ! [X0,X1] :
( v3_vectsp_2(sK19(X0,X1),X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_112])]) ).
fof(f1116,plain,
( ! [X0,X1] :
( sK19(X0,X1) = g1_vectsp_2(X0,u1_struct_0(sK19(X0,X1)),u1_rlvect_1(sK19(X0,X1)),u2_struct_0(sK19(X0,X1)),u1_vectsp_2(X0,sK19(X0,X1)))
| ~ l1_vectsp_2(sK19(X0,X1),X0)
| ~ l1_struct_0(X0)
| ~ sP3(X0,X1) )
| ~ spl33_112
| ~ spl33_139 ),
inference(resolution,[],[f1106,f923]) ).
fof(f923,plain,
( ! [X0,X1] :
( v3_vectsp_2(sK19(X0,X1),X0)
| ~ sP3(X0,X1) )
| ~ spl33_112 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f2098,plain,
( spl33_268
| ~ spl33_134
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1096,f1091,f1059,f2096]) ).
fof(f1091,plain,
( spl33_138
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_138])]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(X0,X1,k5_subset_1(X0,X2,X3)) = k5_subset_1(X0,k5_subset_1(X0,X2,X3),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_138 ),
inference(resolution,[],[f1092,f1060]) ).
fof(f1092,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_138 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f2075,plain,
( spl33_267
| ~ spl33_86
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1115,f1105,f784,f2073]) ).
fof(f784,plain,
( spl33_86
<=> ! [X0] :
( v3_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_86])]) ).
fof(f1115,plain,
( ! [X0] :
( sK15(X0) = g1_vectsp_2(X0,u1_struct_0(sK15(X0)),u1_rlvect_1(sK15(X0)),u2_struct_0(sK15(X0)),u1_vectsp_2(X0,sK15(X0)))
| ~ l1_vectsp_2(sK15(X0),X0)
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_86
| ~ spl33_139 ),
inference(resolution,[],[f1106,f785]) ).
fof(f785,plain,
( ! [X0] :
( v3_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) )
| ~ spl33_86 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f2071,plain,
( spl33_266
| ~ spl33_84
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1114,f1105,f776,f2069]) ).
fof(f776,plain,
( spl33_84
<=> ! [X0] :
( v3_vectsp_2(sK14(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_84])]) ).
fof(f1114,plain,
( ! [X0] :
( sK14(X0) = g1_vectsp_2(X0,u1_struct_0(sK14(X0)),u1_rlvect_1(sK14(X0)),u2_struct_0(sK14(X0)),u1_vectsp_2(X0,sK14(X0)))
| ~ l1_vectsp_2(sK14(X0),X0)
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl33_84
| ~ spl33_139 ),
inference(resolution,[],[f1106,f777]) ).
fof(f777,plain,
( ! [X0] :
( v3_vectsp_2(sK14(X0),X0)
| ~ sP0(X0) )
| ~ spl33_84 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f2067,plain,
( spl33_265
| ~ spl33_134
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1082,f1076,f1059,f2065]) ).
fof(f1076,plain,
( spl33_137
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_137])]) ).
fof(f1082,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(X0,X1,k5_subset_1(X0,X2,X3)) = k3_xboole_0(X1,k5_subset_1(X0,X2,X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ spl33_134
| ~ spl33_137 ),
inference(resolution,[],[f1077,f1060]) ).
fof(f1077,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_137 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f2061,plain,
( spl33_264
| ~ spl33_82
| ~ spl33_139 ),
inference(avatar_split_clause,[],[f1117,f1105,f768,f2059]) ).
fof(f768,plain,
( spl33_82
<=> ! [X0] :
( v3_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_82])]) ).
fof(f1117,plain,
( ! [X0] :
( sK12(X0) = g1_vectsp_2(X0,u1_struct_0(sK12(X0)),u1_rlvect_1(sK12(X0)),u2_struct_0(sK12(X0)),u1_vectsp_2(X0,sK12(X0)))
| ~ l1_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl33_82
| ~ spl33_139 ),
inference(duplicate_literal_removal,[],[f1113]) ).
fof(f1113,plain,
( ! [X0] :
( sK12(X0) = g1_vectsp_2(X0,u1_struct_0(sK12(X0)),u1_rlvect_1(sK12(X0)),u2_struct_0(sK12(X0)),u1_vectsp_2(X0,sK12(X0)))
| ~ l1_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_82
| ~ spl33_139 ),
inference(resolution,[],[f1106,f769]) ).
fof(f769,plain,
( ! [X0] :
( v3_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) )
| ~ spl33_82 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f2050,plain,
( spl33_263
| ~ spl33_123
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1101,f1091,f985,f2048]) ).
fof(f1101,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k5_subset_1(k2_zfmisc_1(X0,X1),X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl33_123
| ~ spl33_138 ),
inference(resolution,[],[f1092,f986]) ).
fof(f2039,plain,
( ~ spl33_262
| ~ spl33_21
| ~ spl33_177
| spl33_258 ),
inference(avatar_split_clause,[],[f2020,f2011,f1329,f481,f2036]) ).
fof(f2020,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ spl33_21
| ~ spl33_177
| spl33_258 ),
inference(forward_demodulation,[],[f2013,f1350]) ).
fof(f2034,plain,
( ~ spl33_261
| ~ spl33_21
| ~ spl33_177
| spl33_259 ),
inference(avatar_split_clause,[],[f2019,f2015,f1329,f481,f2031]) ).
fof(f2015,plain,
( spl33_259
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_259])]) ).
fof(f2019,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8))
| ~ spl33_21
| ~ spl33_177
| spl33_259 ),
inference(forward_demodulation,[],[f2017,f1350]) ).
fof(f2017,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8))
| spl33_259 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f2028,plain,
( ~ spl33_260
| ~ spl33_21
| ~ spl33_177
| spl33_255 ),
inference(avatar_split_clause,[],[f2021,f1999,f1329,f481,f2025]) ).
fof(f2021,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k3_xboole_0(sK7,sK8)),sK5,sK6)
| ~ spl33_21
| ~ spl33_177
| spl33_255 ),
inference(forward_demodulation,[],[f2001,f1350]) ).
fof(f2001,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,sK6)
| spl33_255 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2018,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_255
| ~ spl33_256
| ~ spl33_257
| ~ spl33_258
| ~ spl33_259
| spl33_77
| ~ spl33_155 ),
inference(avatar_split_clause,[],[f1202,f1199,f746,f2015,f2011,f2007,f2003,f1999,f476,f471,f466,f461,f456,f451,f446,f441,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f746,plain,
( spl33_77
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_77])]) ).
fof(f1199,plain,
( spl33_155
<=> ! [X2,X4,X0,X3,X1] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_155])]) ).
fof(f1202,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8))
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK8),sK5,sK6)
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK7),sK5,sK6)
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,sK6)
| ~ l1_vectsp_2(sK6,sK5)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| spl33_77
| ~ spl33_155 ),
inference(resolution,[],[f1200,f748]) ).
fof(f748,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,sK8)))
| spl33_77 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1200,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_155 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1987,plain,
( spl33_254
| ~ spl33_122
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1100,f1091,f981,f1985]) ).
fof(f1100,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k5_subset_1(u1_struct_0(X0),sK13(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_138 ),
inference(resolution,[],[f1092,f982]) ).
fof(f1943,plain,
( spl33_244
| ~ spl33_245
| ~ spl33_246
| ~ spl33_247
| ~ spl33_248
| ~ spl33_249
| ~ spl33_250
| ~ spl33_251
| ~ spl33_252
| spl33_253
| ~ spl33_28
| ~ spl33_141 ),
inference(avatar_split_clause,[],[f1127,f1119,f516,f1940,f1936,f1932,f1928,f1924,f1920,f1916,f1912,f1908,f1904]) ).
fof(f1904,plain,
( spl33_244
<=> v3_struct_0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_244])]) ).
fof(f1908,plain,
( spl33_245
<=> v3_rlvect_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_245])]) ).
fof(f1912,plain,
( spl33_246
<=> v4_rlvect_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_246])]) ).
fof(f1916,plain,
( spl33_247
<=> v5_rlvect_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_247])]) ).
fof(f1920,plain,
( spl33_248
<=> v6_rlvect_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_248])]) ).
fof(f1924,plain,
( spl33_249
<=> v4_group_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_249])]) ).
fof(f1928,plain,
( spl33_250
<=> v6_vectsp_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_250])]) ).
fof(f1932,plain,
( spl33_251
<=> v7_vectsp_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_251])]) ).
fof(f1936,plain,
( spl33_252
<=> v8_vectsp_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_252])]) ).
fof(f1940,plain,
( spl33_253
<=> sP0(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_253])]) ).
fof(f516,plain,
( spl33_28
<=> l3_vectsp_1(sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_28])]) ).
fof(f1119,plain,
( spl33_141
<=> ! [X0] :
( sP0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_141])]) ).
fof(f1127,plain,
( sP0(sK26)
| ~ v8_vectsp_1(sK26)
| ~ v7_vectsp_1(sK26)
| ~ v6_vectsp_1(sK26)
| ~ v4_group_1(sK26)
| ~ v6_rlvect_1(sK26)
| ~ v5_rlvect_1(sK26)
| ~ v4_rlvect_1(sK26)
| ~ v3_rlvect_1(sK26)
| v3_struct_0(sK26)
| ~ spl33_28
| ~ spl33_141 ),
inference(resolution,[],[f1120,f518]) ).
fof(f518,plain,
( l3_vectsp_1(sK26)
| ~ spl33_28 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f1120,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| sP0(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_141 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1902,plain,
( spl33_243
| ~ spl33_123
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1087,f1076,f985,f1900]) ).
fof(f1087,plain,
( ! [X2,X3,X0,X1] :
( k5_subset_1(k2_zfmisc_1(X0,X1),X2,X3) = k3_xboole_0(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X3,X0,X1) )
| ~ spl33_123
| ~ spl33_137 ),
inference(resolution,[],[f1077,f986]) ).
fof(f1898,plain,
( spl33_242
| ~ spl33_122
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1086,f1076,f981,f1896]) ).
fof(f1086,plain,
( ! [X0,X1] :
( k5_subset_1(u1_struct_0(X0),X1,sK13(X0)) = k3_xboole_0(X1,sK13(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl33_122
| ~ spl33_137 ),
inference(resolution,[],[f1077,f982]) ).
fof(f1889,plain,
( spl33_241
| ~ spl33_110
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1066,f1059,f914,f1887]) ).
fof(f1066,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) )
| ~ spl33_110
| ~ spl33_134 ),
inference(resolution,[],[f1060,f915]) ).
fof(f1852,plain,
( spl33_240
| ~ spl33_48
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1102,f1091,f605,f1850]) ).
fof(f1102,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k5_subset_1(X0,sK16(k1_zfmisc_1(X0)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_48
| ~ spl33_138 ),
inference(resolution,[],[f1092,f606]) ).
fof(f1848,plain,
( spl33_239
| ~ spl33_94
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1095,f1091,f818,f1846]) ).
fof(f1095,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k5_subset_1(X0,sK9(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_138 ),
inference(resolution,[],[f1092,f819]) ).
fof(f1844,plain,
( spl33_238
| ~ spl33_124
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1063,f1059,f989,f1842]) ).
fof(f989,plain,
( spl33_124
<=> ! [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,[spl33_124])]) ).
fof(f1063,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| m1_subset_1(X3,X1)
| ~ r2_hidden(X3,k5_subset_1(X1,X2,X0)) )
| ~ spl33_124
| ~ spl33_134 ),
inference(resolution,[],[f1060,f990]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl33_124 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1792,plain,
( spl33_237
| ~ spl33_107
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1097,f1091,f871,f1790]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X2,X0) )
| ~ spl33_107
| ~ spl33_138 ),
inference(resolution,[],[f1092,f872]) ).
fof(f1788,plain,
( spl33_236
| ~ spl33_48
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1088,f1076,f605,f1786]) ).
fof(f1088,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK16(k1_zfmisc_1(X0))) = k3_xboole_0(X1,sK16(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_48
| ~ spl33_137 ),
inference(resolution,[],[f1077,f606]) ).
fof(f1784,plain,
( spl33_235
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_177
| ~ spl33_179 ),
inference(avatar_split_clause,[],[f1402,f1372,f1329,f843,f695,f646,f625,f565,f536,f1781]) ).
fof(f1781,plain,
( spl33_235
<=> sK30 = k5_subset_1(u1_struct_0(sK6),sK8,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_235])]) ).
fof(f536,plain,
( spl33_32
<=> v1_xboole_0(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_32])]) ).
fof(f565,plain,
( spl33_38
<=> ! [X0] : v1_xboole_0(sK17(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_38])]) ).
fof(f646,plain,
( spl33_55
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_55])]) ).
fof(f1402,plain,
( sK30 = k5_subset_1(u1_struct_0(sK6),sK8,sK30)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_177
| ~ spl33_179 ),
inference(forward_demodulation,[],[f1401,f1363]) ).
fof(f1363,plain,
( sK30 = k5_subset_1(u1_struct_0(sK6),sK30,sK8)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1362,f898]) ).
fof(f898,plain,
( ! [X0] : sK30 = k3_xboole_0(sK30,X0)
| ~ spl33_32
| ~ spl33_50
| ~ spl33_55
| ~ spl33_100 ),
inference(forward_demodulation,[],[f892,f732]) ).
fof(f732,plain,
( k1_xboole_0 = sK30
| ~ spl33_32
| ~ spl33_55 ),
inference(resolution,[],[f647,f538]) ).
fof(f538,plain,
( v1_xboole_0(sK30)
| ~ spl33_32 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f647,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl33_55 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f892,plain,
( ! [X0] : k1_xboole_0 = k3_xboole_0(k1_xboole_0,X0)
| ~ spl33_50
| ~ spl33_100 ),
inference(superposition,[],[f844,f626]) ).
fof(f1362,plain,
( k5_subset_1(u1_struct_0(sK6),sK30,sK8) = k3_xboole_0(sK30,sK8)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1361,f844]) ).
fof(f1361,plain,
( k5_subset_1(u1_struct_0(sK6),sK30,sK8) = k3_xboole_0(sK8,sK30)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1360,f734]) ).
fof(f734,plain,
( ! [X0] : sK17(X0) = sK30
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55 ),
inference(forward_demodulation,[],[f733,f732]) ).
fof(f733,plain,
( ! [X0] : k1_xboole_0 = sK17(X0)
| ~ spl33_38
| ~ spl33_55 ),
inference(resolution,[],[f647,f566]) ).
fof(f566,plain,
( ! [X0] : v1_xboole_0(sK17(X0))
| ~ spl33_38 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f1360,plain,
( k5_subset_1(u1_struct_0(sK6),sK17(u1_struct_0(sK6)),sK8) = k3_xboole_0(sK8,sK17(u1_struct_0(sK6)))
| ~ spl33_67
| ~ spl33_100
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1353,f844]) ).
fof(f1353,plain,
( k5_subset_1(u1_struct_0(sK6),sK17(u1_struct_0(sK6)),sK8) = k3_xboole_0(sK17(u1_struct_0(sK6)),sK8)
| ~ spl33_67
| ~ spl33_177 ),
inference(resolution,[],[f1330,f696]) ).
fof(f1401,plain,
( k5_subset_1(u1_struct_0(sK6),sK30,sK8) = k5_subset_1(u1_struct_0(sK6),sK8,sK30)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_179 ),
inference(forward_demodulation,[],[f1395,f734]) ).
fof(f1395,plain,
( k5_subset_1(u1_struct_0(sK6),sK17(u1_struct_0(sK6)),sK8) = k5_subset_1(u1_struct_0(sK6),sK8,sK17(u1_struct_0(sK6)))
| ~ spl33_67
| ~ spl33_179 ),
inference(resolution,[],[f1373,f696]) ).
fof(f1779,plain,
( spl33_234
| ~ spl33_94
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1081,f1076,f818,f1777]) ).
fof(f1081,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK9(X0)) = k3_xboole_0(X1,sK9(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_137 ),
inference(resolution,[],[f1077,f819]) ).
fof(f1775,plain,
( spl33_233
| ~ spl33_114
| ~ spl33_136 ),
inference(avatar_split_clause,[],[f1079,f1072,f930,f1773]) ).
fof(f930,plain,
( spl33_114
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_114])]) ).
fof(f1079,plain,
( ! [X0,X1] :
( ~ l1_vectsp_2(X0,X1)
| ~ l1_struct_0(X1)
| m1_relset_1(u1_vectsp_2(X1,X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0)) )
| ~ spl33_114
| ~ spl33_136 ),
inference(resolution,[],[f1073,f931]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl33_114 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f1771,plain,
( spl33_232
| ~ spl33_118
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1064,f1059,f957,f1769]) ).
fof(f957,plain,
( spl33_118
<=> ! [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,[spl33_118])]) ).
fof(f1064,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X3,k5_subset_1(X1,X2,X0)) )
| ~ spl33_118
| ~ spl33_134 ),
inference(resolution,[],[f1060,f958]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl33_118 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f1753,plain,
( spl33_231
| ~ spl33_107
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1083,f1076,f871,f1751]) ).
fof(f1083,plain,
( ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X2,X0) )
| ~ spl33_107
| ~ spl33_137 ),
inference(resolution,[],[f1077,f872]) ).
fof(f1749,plain,
( spl33_230
| ~ spl33_110
| ~ spl33_123 ),
inference(avatar_split_clause,[],[f1002,f985,f914,f1747]) ).
fof(f1002,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))) )
| ~ spl33_110
| ~ spl33_123 ),
inference(resolution,[],[f986,f915]) ).
fof(f1740,plain,
( spl33_229
| ~ spl33_106
| ~ spl33_134 ),
inference(avatar_split_clause,[],[f1065,f1059,f867,f1738]) ).
fof(f867,plain,
( spl33_106
<=> ! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_106])]) ).
fof(f1065,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_tarski(k5_subset_1(X1,X2,X0),X1) )
| ~ spl33_106
| ~ spl33_134 ),
inference(resolution,[],[f1060,f868]) ).
fof(f868,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
| ~ spl33_106 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f1736,plain,
( spl33_228
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_176
| ~ spl33_178 ),
inference(avatar_split_clause,[],[f1385,f1368,f1325,f843,f695,f646,f625,f565,f536,f1733]) ).
fof(f1733,plain,
( spl33_228
<=> sK30 = k5_subset_1(u1_struct_0(sK6),sK7,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_228])]) ).
fof(f1385,plain,
( sK30 = k5_subset_1(u1_struct_0(sK6),sK7,sK30)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_176
| ~ spl33_178 ),
inference(forward_demodulation,[],[f1384,f1346]) ).
fof(f1346,plain,
( sK30 = k5_subset_1(u1_struct_0(sK6),sK30,sK7)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1345,f898]) ).
fof(f1345,plain,
( k5_subset_1(u1_struct_0(sK6),sK30,sK7) = k3_xboole_0(sK30,sK7)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1344,f844]) ).
fof(f1344,plain,
( k5_subset_1(u1_struct_0(sK6),sK30,sK7) = k3_xboole_0(sK7,sK30)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1343,f734]) ).
fof(f1343,plain,
( k5_subset_1(u1_struct_0(sK6),sK17(u1_struct_0(sK6)),sK7) = k3_xboole_0(sK7,sK17(u1_struct_0(sK6)))
| ~ spl33_67
| ~ spl33_100
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1335,f844]) ).
fof(f1335,plain,
( k5_subset_1(u1_struct_0(sK6),sK17(u1_struct_0(sK6)),sK7) = k3_xboole_0(sK17(u1_struct_0(sK6)),sK7)
| ~ spl33_67
| ~ spl33_176 ),
inference(resolution,[],[f1326,f696]) ).
fof(f1384,plain,
( k5_subset_1(u1_struct_0(sK6),sK30,sK7) = k5_subset_1(u1_struct_0(sK6),sK7,sK30)
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_178 ),
inference(forward_demodulation,[],[f1378,f734]) ).
fof(f1378,plain,
( k5_subset_1(u1_struct_0(sK6),sK17(u1_struct_0(sK6)),sK7) = k5_subset_1(u1_struct_0(sK6),sK7,sK17(u1_struct_0(sK6)))
| ~ spl33_67
| ~ spl33_178 ),
inference(resolution,[],[f1369,f696]) ).
fof(f1731,plain,
( spl33_227
| ~ spl33_110
| ~ spl33_122 ),
inference(avatar_split_clause,[],[f999,f981,f914,f1729]) ).
fof(f999,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl33_110
| ~ spl33_122 ),
inference(resolution,[],[f982,f915]) ).
fof(f1715,plain,
( spl33_226
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1103,f1091,f695,f646,f565,f536,f1713]) ).
fof(f1103,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK30) = k5_subset_1(X0,sK30,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_138 ),
inference(forward_demodulation,[],[f1094,f734]) ).
fof(f1094,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK17(X0)) = k5_subset_1(X0,sK17(X0),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_67
| ~ spl33_138 ),
inference(resolution,[],[f1092,f696]) ).
fof(f1692,plain,
( spl33_225
| ~ spl33_50
| ~ spl33_173
| ~ spl33_224 ),
inference(avatar_split_clause,[],[f1688,f1685,f1309,f625,f1690]) ).
fof(f1685,plain,
( spl33_224
<=> ! [X0,X1] :
( k5_subset_1(X0,X1,sK30) = k3_xboole_0(X1,sK30)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_224])]) ).
fof(f1688,plain,
( ! [X0,X1] :
( sK30 = k5_subset_1(X0,X1,sK30)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_50
| ~ spl33_173
| ~ spl33_224 ),
inference(forward_demodulation,[],[f1686,f1322]) ).
fof(f1686,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK30) = k3_xboole_0(X1,sK30)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_224 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1687,plain,
( spl33_224
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1089,f1076,f695,f646,f565,f536,f1685]) ).
fof(f1089,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK30) = k3_xboole_0(X1,sK30)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_137 ),
inference(forward_demodulation,[],[f1080,f734]) ).
fof(f1080,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,sK17(X0)) = k3_xboole_0(X1,sK17(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_67
| ~ spl33_137 ),
inference(resolution,[],[f1077,f696]) ).
fof(f1683,plain,
( spl33_223
| ~ spl33_114
| ~ spl33_126 ),
inference(avatar_split_clause,[],[f1020,f1017,f930,f1681]) ).
fof(f1020,plain,
( ! [X0] :
( ~ l1_rlvect_1(X0)
| m1_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ spl33_114
| ~ spl33_126 ),
inference(resolution,[],[f1018,f931]) ).
fof(f1679,plain,
( spl33_222
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1363,f1329,f843,f695,f646,f625,f565,f536,f1676]) ).
fof(f1676,plain,
( spl33_222
<=> sK30 = k5_subset_1(u1_struct_0(sK6),sK30,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_222])]) ).
fof(f1674,plain,
( spl33_221
| ~ spl33_123
| ~ spl33_124 ),
inference(avatar_split_clause,[],[f1009,f989,f985,f1672]) ).
fof(f1009,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl33_123
| ~ spl33_124 ),
inference(resolution,[],[f990,f986]) ).
fof(f1670,plain,
( spl33_220
| ~ spl33_122
| ~ spl33_124 ),
inference(avatar_split_clause,[],[f1008,f989,f981,f1668]) ).
fof(f1008,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK13(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl33_122
| ~ spl33_124 ),
inference(resolution,[],[f990,f982]) ).
fof(f1666,plain,
( spl33_219
| ~ spl33_118
| ~ spl33_123 ),
inference(avatar_split_clause,[],[f1000,f985,f957,f1664]) ).
fof(f1664,plain,
( spl33_219
<=> ! [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,[spl33_219])]) ).
fof(f1000,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl33_118
| ~ spl33_123 ),
inference(resolution,[],[f986,f958]) ).
fof(f1643,plain,
( spl33_218
| ~ spl33_67
| ~ spl33_127 ),
inference(avatar_split_clause,[],[f1050,f1022,f695,f1641]) ).
fof(f1022,plain,
( spl33_127
<=> ! [X2,X0,X1] :
( k5_subset_1(X0,X1,X1) = X1
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_127])]) ).
fof(f1050,plain,
( ! [X0,X1] :
( k5_subset_1(X0,X1,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_67
| ~ spl33_127 ),
inference(resolution,[],[f1023,f696]) ).
fof(f1023,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ spl33_127 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1639,plain,
( spl33_217
| ~ spl33_95
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f944,f914,f822,f1637]) ).
fof(f822,plain,
( spl33_95
<=> ! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_95])]) ).
fof(f944,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| r2_hidden(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl33_95
| ~ spl33_110 ),
inference(resolution,[],[f915,f823]) ).
fof(f823,plain,
( ! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) )
| ~ spl33_95 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1635,plain,
( spl33_216
| ~ spl33_22
| ~ spl33_68
| ~ spl33_177 ),
inference(avatar_split_clause,[],[f1358,f1329,f699,f486,f1632]) ).
fof(f699,plain,
( spl33_68
<=> ! [X0] : k3_xboole_0(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_68])]) ).
fof(f1358,plain,
( sK8 = k5_subset_1(u1_struct_0(sK6),sK8,sK8)
| ~ spl33_22
| ~ spl33_68
| ~ spl33_177 ),
inference(forward_demodulation,[],[f1351,f700]) ).
fof(f700,plain,
( ! [X0] : k3_xboole_0(X0,X0) = X0
| ~ spl33_68 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f1351,plain,
( k5_subset_1(u1_struct_0(sK6),sK8,sK8) = k3_xboole_0(sK8,sK8)
| ~ spl33_22
| ~ spl33_177 ),
inference(resolution,[],[f1330,f488]) ).
fof(f1630,plain,
( spl33_215
| ~ spl33_107
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f942,f914,f871,f1628]) ).
fof(f942,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl33_107
| ~ spl33_110 ),
inference(resolution,[],[f915,f872]) ).
fof(f1626,plain,
( spl33_214
| ~ spl33_94
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f941,f914,f818,f1624]) ).
fof(f941,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_110 ),
inference(resolution,[],[f915,f819]) ).
fof(f1609,plain,
( spl33_213
| ~ spl33_107
| ~ spl33_124 ),
inference(avatar_split_clause,[],[f1005,f989,f871,f1607]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl33_107
| ~ spl33_124 ),
inference(resolution,[],[f990,f872]) ).
fof(f1605,plain,
( spl33_212
| ~ spl33_94
| ~ spl33_124 ),
inference(avatar_split_clause,[],[f1004,f989,f818,f1603]) ).
fof(f1004,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK9(X1))
| v1_xboole_0(X1) )
| ~ spl33_94
| ~ spl33_124 ),
inference(resolution,[],[f990,f819]) ).
fof(f1601,plain,
( spl33_211
| ~ spl33_106
| ~ spl33_123 ),
inference(avatar_split_clause,[],[f1001,f985,f867,f1599]) ).
fof(f1599,plain,
( spl33_211
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_211])]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl33_106
| ~ spl33_123 ),
inference(resolution,[],[f986,f868]) ).
fof(f1597,plain,
( spl33_210
| ~ spl33_106
| ~ spl33_122 ),
inference(avatar_split_clause,[],[f998,f981,f867,f1595]) ).
fof(f1595,plain,
( spl33_210
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK13(X0),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_210])]) ).
fof(f998,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| r1_tarski(sK13(X0),u1_struct_0(X0)) )
| ~ spl33_106
| ~ spl33_122 ),
inference(resolution,[],[f982,f868]) ).
fof(f1593,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_13
| spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| spl33_209
| ~ spl33_20
| ~ spl33_143 ),
inference(avatar_split_clause,[],[f1134,f1131,f476,f1590,f471,f466,f461,f456,f451,f446,f441,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f1590,plain,
( spl33_209
<=> sP3(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_209])]) ).
fof(f1134,plain,
( sP3(sK5,sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ v6_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v3_rlvect_1(sK6)
| v3_struct_0(sK6)
| ~ l3_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_20
| ~ spl33_143 ),
inference(resolution,[],[f1132,f478]) ).
fof(f478,plain,
( l1_vectsp_2(sK6,sK5)
| ~ spl33_20 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f1579,plain,
( spl33_208
| ~ spl33_48
| ~ spl33_124 ),
inference(avatar_split_clause,[],[f1010,f989,f605,f1577]) ).
fof(f1010,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK16(k1_zfmisc_1(X1))) )
| ~ spl33_48
| ~ spl33_124 ),
inference(resolution,[],[f990,f606]) ).
fof(f1575,plain,
( spl33_204
| spl33_205
| ~ spl33_206
| ~ spl33_207
| ~ spl33_27
| ~ spl33_120 ),
inference(avatar_split_clause,[],[f992,f973,f511,f1572,f1568,f1564,f1560]) ).
fof(f1560,plain,
( spl33_204
<=> v8_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_204])]) ).
fof(f1564,plain,
( spl33_205
<=> v3_struct_0(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_205])]) ).
fof(f1568,plain,
( spl33_206
<=> v7_group_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_206])]) ).
fof(f1572,plain,
( spl33_207
<=> v6_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_207])]) ).
fof(f511,plain,
( spl33_27
<=> l1_vectsp_1(sK25) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_27])]) ).
fof(f973,plain,
( spl33_120
<=> ! [X0] :
( v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_120])]) ).
fof(f992,plain,
( ~ v6_vectsp_1(sK25)
| ~ v7_group_1(sK25)
| v3_struct_0(sK25)
| v8_vectsp_1(sK25)
| ~ spl33_27
| ~ spl33_120 ),
inference(resolution,[],[f974,f513]) ).
fof(f513,plain,
( l1_vectsp_1(sK25)
| ~ spl33_27 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f974,plain,
( ! [X0] :
( ~ l1_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| v8_vectsp_1(X0) )
| ~ spl33_120 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f1558,plain,
( spl33_203
| ~ spl33_107
| ~ spl33_118 ),
inference(avatar_split_clause,[],[f969,f957,f871,f1556]) ).
fof(f969,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl33_107
| ~ spl33_118 ),
inference(resolution,[],[f958,f872]) ).
fof(f1554,plain,
( spl33_202
| ~ spl33_32
| ~ spl33_38
| ~ spl33_50
| ~ spl33_55
| ~ spl33_67
| ~ spl33_100
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1346,f1325,f843,f695,f646,f625,f565,f536,f1551]) ).
fof(f1551,plain,
( spl33_202
<=> sK30 = k5_subset_1(u1_struct_0(sK6),sK30,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_202])]) ).
fof(f1543,plain,
( spl33_201
| ~ spl33_48
| ~ spl33_118 ),
inference(avatar_split_clause,[],[f970,f957,f605,f1541]) ).
fof(f970,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK16(k1_zfmisc_1(X0))) )
| ~ spl33_48
| ~ spl33_118 ),
inference(resolution,[],[f958,f606]) ).
fof(f1539,plain,
( spl33_200
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f945,f914,f695,f646,f565,f536,f1537]) ).
fof(f1537,plain,
( spl33_200
<=> ! [X0] :
( r2_hidden(sK30,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_200])]) ).
fof(f945,plain,
( ! [X0] :
( r2_hidden(sK30,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_110 ),
inference(forward_demodulation,[],[f940,f734]) ).
fof(f940,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK17(X0),k1_zfmisc_1(X0)) )
| ~ spl33_67
| ~ spl33_110 ),
inference(resolution,[],[f915,f696]) ).
fof(f1535,plain,
( spl33_199
| ~ spl33_85
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f888,f826,f780,f1533]) ).
fof(f888,plain,
( ! [X0] :
( l1_rlvect_1(sK15(X0))
| ~ l1_struct_0(X0)
| ~ sP1(X0) )
| ~ spl33_85
| ~ spl33_96 ),
inference(resolution,[],[f827,f781]) ).
fof(f1531,plain,
( spl33_198
| ~ spl33_83
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f887,f826,f772,f1529]) ).
fof(f887,plain,
( ! [X0] :
( l1_rlvect_1(sK14(X0))
| ~ l1_struct_0(X0)
| ~ sP0(X0) )
| ~ spl33_83
| ~ spl33_96 ),
inference(resolution,[],[f827,f773]) ).
fof(f1522,plain,
( spl33_197
| ~ spl33_21
| ~ spl33_68
| ~ spl33_176 ),
inference(avatar_split_clause,[],[f1340,f1325,f699,f481,f1519]) ).
fof(f1340,plain,
( sK7 = k5_subset_1(u1_struct_0(sK6),sK7,sK7)
| ~ spl33_21
| ~ spl33_68
| ~ spl33_176 ),
inference(forward_demodulation,[],[f1332,f700]) ).
fof(f1332,plain,
( k5_subset_1(u1_struct_0(sK6),sK7,sK7) = k3_xboole_0(sK7,sK7)
| ~ spl33_21
| ~ spl33_176 ),
inference(resolution,[],[f1326,f483]) ).
fof(f1513,plain,
( spl33_196
| ~ spl33_92
| ~ spl33_115 ),
inference(avatar_split_clause,[],[f947,f935,f809,f1511]) ).
fof(f935,plain,
( spl33_115
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_115])]) ).
fof(f947,plain,
( ! [X0,X1] : m2_relset_1(sK20(X0,X1),X0,X1)
| ~ spl33_92
| ~ spl33_115 ),
inference(resolution,[],[f936,f810]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl33_115 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f1509,plain,
( spl33_195
| ~ spl33_93
| ~ spl33_114 ),
inference(avatar_split_clause,[],[f946,f930,f813,f1507]) ).
fof(f946,plain,
( ! [X0,X1] : m1_relset_1(sK21(X0,X1),X0,X1)
| ~ spl33_93
| ~ spl33_114 ),
inference(resolution,[],[f931,f814]) ).
fof(f1505,plain,
( spl33_194
| ~ spl33_48
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f943,f914,f605,f1503]) ).
fof(f943,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK16(X0),X0) )
| ~ spl33_48
| ~ spl33_110 ),
inference(resolution,[],[f915,f606]) ).
fof(f1501,plain,
( spl33_193
| ~ spl33_94
| ~ spl33_106 ),
inference(avatar_split_clause,[],[f905,f867,f818,f1499]) ).
fof(f1499,plain,
( spl33_193
<=> ! [X0] :
( r1_tarski(sK9(X0),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_193])]) ).
fof(f905,plain,
( ! [X0] :
( r1_tarski(sK9(X0),X0)
| v1_xboole_0(X0) )
| ~ spl33_94
| ~ spl33_106 ),
inference(resolution,[],[f868,f819]) ).
fof(f1464,plain,
( spl33_190
| ~ spl33_55
| ~ spl33_173 ),
inference(avatar_split_clause,[],[f1461,f1309,f646,f1445]) ).
fof(f1461,plain,
( ! [X0] :
( sK30 = X0
| ~ v1_xboole_0(X0) )
| ~ spl33_55
| ~ spl33_173 ),
inference(forward_demodulation,[],[f647,f1311]) ).
fof(f1460,plain,
( ~ spl33_23
| ~ spl33_191 ),
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1455,plain,
( $false
| ~ spl33_23
| ~ spl33_191 ),
inference(resolution,[],[f1450,f493]) ).
fof(f493,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl33_23 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl33_23
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f1450,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl33_191 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1449,plain,
( spl33_191
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_191])]) ).
fof(f1459,plain,
( ~ spl33_38
| ~ spl33_191 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1456,plain,
( $false
| ~ spl33_38
| ~ spl33_191 ),
inference(resolution,[],[f1450,f566]) ).
fof(f1458,plain,
( ~ spl33_32
| ~ spl33_191 ),
inference(avatar_contradiction_clause,[],[f1457]) ).
fof(f1457,plain,
( $false
| ~ spl33_32
| ~ spl33_191 ),
inference(resolution,[],[f1450,f538]) ).
fof(f1454,plain,
( spl33_191
| spl33_192
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_118 ),
inference(avatar_split_clause,[],[f971,f957,f695,f646,f565,f536,f1452,f1449]) ).
fof(f1452,plain,
( spl33_192
<=> ! [X1] : ~ r2_hidden(X1,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_192])]) ).
fof(f971,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK30)
| ~ v1_xboole_0(X0) )
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55
| ~ spl33_67
| ~ spl33_118 ),
inference(forward_demodulation,[],[f967,f734]) ).
fof(f967,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK17(X0)) )
| ~ spl33_67
| ~ spl33_118 ),
inference(resolution,[],[f958,f696]) ).
fof(f1447,plain,
( spl33_190
| ~ spl33_32
| ~ spl33_109 ),
inference(avatar_split_clause,[],[f910,f880,f536,f1445]) ).
fof(f880,plain,
( spl33_109
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_109])]) ).
fof(f910,plain,
( ! [X0] :
( sK30 = X0
| ~ v1_xboole_0(X0) )
| ~ spl33_32
| ~ spl33_109 ),
inference(resolution,[],[f881,f538]) ).
fof(f881,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl33_109 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f1443,plain,
( spl33_189
| ~ spl33_48
| ~ spl33_106 ),
inference(avatar_split_clause,[],[f906,f867,f605,f1441]) ).
fof(f1441,plain,
( spl33_189
<=> ! [X0] : r1_tarski(sK16(k1_zfmisc_1(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_189])]) ).
fof(f906,plain,
( ! [X0] : r1_tarski(sK16(k1_zfmisc_1(X0)),X0)
| ~ spl33_48
| ~ spl33_106 ),
inference(resolution,[],[f868,f606]) ).
fof(f1439,plain,
( spl33_188
| ~ spl33_32
| ~ spl33_50
| ~ spl33_55
| ~ spl33_100 ),
inference(avatar_split_clause,[],[f898,f843,f646,f625,f536,f1437]) ).
fof(f1435,plain,
( spl33_187
| ~ spl33_69
| ~ spl33_100 ),
inference(avatar_split_clause,[],[f895,f843,f703,f1433]) ).
fof(f895,plain,
( ! [X0,X1] : r1_tarski(k3_xboole_0(X1,X0),X0)
| ~ spl33_69
| ~ spl33_100 ),
inference(superposition,[],[f704,f844]) ).
fof(f1431,plain,
( spl33_186
| ~ spl33_78
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f891,f826,f751,f1429]) ).
fof(f891,plain,
( ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0) )
| ~ spl33_78
| ~ spl33_96 ),
inference(duplicate_literal_removal,[],[f884]) ).
fof(f884,plain,
( ! [X0] :
( l1_rlvect_1(sK10(X0))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_78
| ~ spl33_96 ),
inference(resolution,[],[f827,f752]) ).
fof(f1427,plain,
( spl33_185
| ~ spl33_79
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f890,f826,f755,f1425]) ).
fof(f890,plain,
( ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0) )
| ~ spl33_79
| ~ spl33_96 ),
inference(duplicate_literal_removal,[],[f885]) ).
fof(f885,plain,
( ! [X0] :
( l1_rlvect_1(sK11(X0))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_79
| ~ spl33_96 ),
inference(resolution,[],[f827,f756]) ).
fof(f1423,plain,
( spl33_184
| ~ spl33_80
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f889,f826,f759,f1421]) ).
fof(f889,plain,
( ! [X0] :
( l1_rlvect_1(sK12(X0))
| ~ l1_struct_0(X0) )
| ~ spl33_80
| ~ spl33_96 ),
inference(duplicate_literal_removal,[],[f886]) ).
fof(f886,plain,
( ! [X0] :
( l1_rlvect_1(sK12(X0))
| ~ l1_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl33_80
| ~ spl33_96 ),
inference(resolution,[],[f827,f760]) ).
fof(f1419,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_183
| ~ spl33_13
| ~ spl33_142 ),
inference(avatar_split_clause,[],[f1128,f1123,f441,f1416,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f1416,plain,
( spl33_183
<=> sP1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_183])]) ).
fof(f1123,plain,
( spl33_142
<=> ! [X0] :
( sP1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_142])]) ).
fof(f1128,plain,
( sP1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_13
| ~ spl33_142 ),
inference(resolution,[],[f1124,f443]) ).
fof(f443,plain,
( l3_vectsp_1(sK5)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f1124,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| sP1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) )
| ~ spl33_142 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1414,plain,
( spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| spl33_182
| ~ spl33_13
| ~ spl33_141 ),
inference(avatar_split_clause,[],[f1126,f1119,f441,f1411,f426,f421,f416,f406,f401,f396,f391,f386,f381]) ).
fof(f1411,plain,
( spl33_182
<=> sP0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_182])]) ).
fof(f1126,plain,
( sP0(sK5)
| ~ v8_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v3_rlvect_1(sK5)
| v3_struct_0(sK5)
| ~ spl33_13
| ~ spl33_141 ),
inference(resolution,[],[f1120,f443]) ).
fof(f1407,plain,
( spl33_181
| ~ spl33_32
| ~ spl33_38
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f734,f646,f565,f536,f1405]) ).
fof(f1391,plain,
( ~ spl33_180
| ~ spl33_88
| ~ spl33_172 ),
inference(avatar_split_clause,[],[f1306,f1296,f792,f1388]) ).
fof(f1388,plain,
( spl33_180
<=> r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_180])]) ).
fof(f1296,plain,
( spl33_172
<=> r2_hidden(sK8,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_172])]) ).
fof(f1306,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),sK8)
| ~ spl33_88
| ~ spl33_172 ),
inference(resolution,[],[f1298,f793]) ).
fof(f1298,plain,
( r2_hidden(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_172 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1374,plain,
( spl33_179
| ~ spl33_22
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1099,f1091,f486,f1372]) ).
fof(f1099,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k5_subset_1(u1_struct_0(sK6),sK8,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_22
| ~ spl33_138 ),
inference(resolution,[],[f1092,f488]) ).
fof(f1370,plain,
( spl33_178
| ~ spl33_21
| ~ spl33_138 ),
inference(avatar_split_clause,[],[f1098,f1091,f481,f1368]) ).
fof(f1098,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k5_subset_1(u1_struct_0(sK6),sK7,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_21
| ~ spl33_138 ),
inference(resolution,[],[f1092,f483]) ).
fof(f1331,plain,
( spl33_177
| ~ spl33_22
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1085,f1076,f486,f1329]) ).
fof(f1085,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK8) = k3_xboole_0(X0,sK8)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_22
| ~ spl33_137 ),
inference(resolution,[],[f1077,f488]) ).
fof(f1327,plain,
( spl33_176
| ~ spl33_21
| ~ spl33_137 ),
inference(avatar_split_clause,[],[f1084,f1076,f481,f1325]) ).
fof(f1084,plain,
( ! [X0] :
( k5_subset_1(u1_struct_0(sK6),X0,sK7) = k3_xboole_0(X0,sK7)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK6))) )
| ~ spl33_21
| ~ spl33_137 ),
inference(resolution,[],[f1077,f483]) ).
fof(f1321,plain,
( spl33_175
| ~ spl33_32
| ~ spl33_50
| ~ spl33_55
| ~ spl33_69 ),
inference(avatar_split_clause,[],[f739,f703,f646,f625,f536,f1319]) ).
fof(f739,plain,
( ! [X0] : r1_tarski(sK30,X0)
| ~ spl33_32
| ~ spl33_50
| ~ spl33_55
| ~ spl33_69 ),
inference(forward_demodulation,[],[f737,f732]) ).
fof(f737,plain,
( ! [X0] : r1_tarski(k1_xboole_0,X0)
| ~ spl33_50
| ~ spl33_69 ),
inference(superposition,[],[f704,f626]) ).
fof(f1317,plain,
( ~ spl33_174
| ~ spl33_88
| ~ spl33_170 ),
inference(avatar_split_clause,[],[f1293,f1284,f792,f1314]) ).
fof(f1314,plain,
( spl33_174
<=> r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_174])]) ).
fof(f1284,plain,
( spl33_170
<=> r2_hidden(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_170])]) ).
fof(f1293,plain,
( ~ r2_hidden(k1_zfmisc_1(u1_struct_0(sK6)),sK7)
| ~ spl33_88
| ~ spl33_170 ),
inference(resolution,[],[f1286,f793]) ).
fof(f1286,plain,
( r2_hidden(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_170 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1312,plain,
( spl33_173
| ~ spl33_32
| ~ spl33_55 ),
inference(avatar_split_clause,[],[f732,f646,f536,f1309]) ).
fof(f1303,plain,
( ~ spl33_37
| ~ spl33_171 ),
inference(avatar_contradiction_clause,[],[f1300]) ).
fof(f1300,plain,
( $false
| ~ spl33_37
| ~ spl33_171 ),
inference(resolution,[],[f1290,f562]) ).
fof(f562,plain,
( ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0))
| ~ spl33_37 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f561,plain,
( spl33_37
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_37])]) ).
fof(f1290,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_171 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1288,plain,
( spl33_171
<=> v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_171])]) ).
fof(f1299,plain,
( spl33_172
| spl33_171
| ~ spl33_22
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f939,f914,f486,f1288,f1296]) ).
fof(f939,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6)))
| r2_hidden(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_22
| ~ spl33_110 ),
inference(resolution,[],[f915,f488]) ).
fof(f1291,plain,
( spl33_170
| spl33_171
| ~ spl33_21
| ~ spl33_110 ),
inference(avatar_split_clause,[],[f938,f914,f481,f1288,f1284]) ).
fof(f938,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK6)))
| r2_hidden(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ spl33_21
| ~ spl33_110 ),
inference(resolution,[],[f915,f483]) ).
fof(f1273,plain,
( spl33_169
| ~ spl33_33
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f623,f601,f541,f1270]) ).
fof(f1270,plain,
( spl33_169
<=> l1_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_169])]) ).
fof(f541,plain,
( spl33_33
<=> l2_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_33])]) ).
fof(f623,plain,
( l1_struct_0(sK31)
| ~ spl33_33
| ~ spl33_47 ),
inference(resolution,[],[f602,f543]) ).
fof(f543,plain,
( l2_struct_0(sK31)
| ~ spl33_33 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f1268,plain,
( spl33_168
| ~ spl33_30
| ~ spl33_47 ),
inference(avatar_split_clause,[],[f622,f601,f526,f1265]) ).
fof(f1265,plain,
( spl33_168
<=> l1_struct_0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_168])]) ).
fof(f526,plain,
( spl33_30
<=> l2_struct_0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_30])]) ).
fof(f622,plain,
( l1_struct_0(sK28)
| ~ spl33_30
| ~ spl33_47 ),
inference(resolution,[],[f602,f528]) ).
fof(f528,plain,
( l2_struct_0(sK28)
| ~ spl33_30 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f1263,plain,
( spl33_167
| ~ spl33_29
| ~ spl33_46 ),
inference(avatar_split_clause,[],[f621,f597,f521,f1260]) ).
fof(f521,plain,
( spl33_29
<=> l1_rlvect_1(sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f621,plain,
( l2_struct_0(sK27)
| ~ spl33_29
| ~ spl33_46 ),
inference(resolution,[],[f598,f523]) ).
fof(f523,plain,
( l1_rlvect_1(sK27)
| ~ spl33_29 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f1258,plain,
( spl33_166
| ~ spl33_28
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f620,f593,f516,f1255]) ).
fof(f593,plain,
( spl33_45
<=> ! [X0] :
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f620,plain,
( l2_vectsp_1(sK26)
| ~ spl33_28
| ~ spl33_45 ),
inference(resolution,[],[f594,f518]) ).
fof(f594,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| l2_vectsp_1(X0) )
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f1253,plain,
( spl33_165
| ~ spl33_28
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f618,f589,f516,f1250]) ).
fof(f589,plain,
( spl33_44
<=> ! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_44])]) ).
fof(f618,plain,
( l1_rlvect_1(sK26)
| ~ spl33_28
| ~ spl33_44 ),
inference(resolution,[],[f590,f518]) ).
fof(f590,plain,
( ! [X0] :
( ~ l3_vectsp_1(X0)
| l1_rlvect_1(X0) )
| ~ spl33_44 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f1248,plain,
( spl33_164
| ~ spl33_27
| ~ spl33_43 ),
inference(avatar_split_clause,[],[f616,f585,f511,f1245]) ).
fof(f616,plain,
( l1_group_1(sK25)
| ~ spl33_27
| ~ spl33_43 ),
inference(resolution,[],[f586,f513]) ).
fof(f1243,plain,
( spl33_163
| ~ spl33_26
| ~ spl33_42 ),
inference(avatar_split_clause,[],[f615,f581,f506,f1240]) ).
fof(f506,plain,
( spl33_26
<=> l2_vectsp_1(sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_26])]) ).
fof(f581,plain,
( spl33_42
<=> ! [X0] :
( l2_struct_0(X0)
| ~ l2_vectsp_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_42])]) ).
fof(f615,plain,
( l2_struct_0(sK24)
| ~ spl33_26
| ~ spl33_42 ),
inference(resolution,[],[f582,f508]) ).
fof(f508,plain,
( l2_vectsp_1(sK24)
| ~ spl33_26 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f582,plain,
( ! [X0] :
( ~ l2_vectsp_1(X0)
| l2_struct_0(X0) )
| ~ spl33_42 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f1238,plain,
( spl33_162
| ~ spl33_26
| ~ spl33_41 ),
inference(avatar_split_clause,[],[f609,f577,f506,f1235]) ).
fof(f609,plain,
( l1_vectsp_1(sK24)
| ~ spl33_26
| ~ spl33_41 ),
inference(resolution,[],[f578,f508]) ).
fof(f1231,plain,
( spl33_161
| ~ spl33_22
| ~ spl33_124 ),
inference(avatar_split_clause,[],[f1007,f989,f486,f1229]) ).
fof(f1007,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK8) )
| ~ spl33_22
| ~ spl33_124 ),
inference(resolution,[],[f990,f488]) ).
fof(f1227,plain,
( spl33_160
| ~ spl33_21
| ~ spl33_124 ),
inference(avatar_split_clause,[],[f1006,f989,f481,f1225]) ).
fof(f1006,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK6))
| ~ r2_hidden(X0,sK7) )
| ~ spl33_21
| ~ spl33_124 ),
inference(resolution,[],[f990,f483]) ).
fof(f1223,plain,
( spl33_158
| ~ spl33_159
| ~ spl33_21
| ~ spl33_118 ),
inference(avatar_split_clause,[],[f965,f957,f481,f1220,f1217]) ).
fof(f965,plain,
( ! [X0] :
( ~ v1_xboole_0(u1_struct_0(sK6))
| ~ r2_hidden(X0,sK7) )
| ~ spl33_21
| ~ spl33_118 ),
inference(resolution,[],[f958,f483]) ).
fof(f1213,plain,
( spl33_157
| ~ spl33_22
| ~ spl33_106 ),
inference(avatar_split_clause,[],[f903,f867,f486,f1210]) ).
fof(f1210,plain,
( spl33_157
<=> r1_tarski(sK8,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_157])]) ).
fof(f903,plain,
( r1_tarski(sK8,u1_struct_0(sK6))
| ~ spl33_22
| ~ spl33_106 ),
inference(resolution,[],[f868,f488]) ).
fof(f1208,plain,
spl33_156,
inference(avatar_split_clause,[],[f286,f1206]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r1_tarski(X2,X3)
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f1201,plain,
spl33_155,
inference(avatar_split_clause,[],[f287,f1199]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ! [X3] :
( m1_rmod_2(X3,X0,X1)
=> ! [X4] :
( m1_rmod_2(X4,X0,X1)
=> ( ( m1_rmod_2(X2,X0,X4)
& m1_rmod_2(X2,X0,X3) )
=> m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_rmod_3) ).
fof(f1196,plain,
spl33_154,
inference(avatar_split_clause,[],[f366,f1194]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8,X9] :
( sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0)
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(definition_folding,[],[f157,f166]) ).
fof(f166,plain,
! [X9,X4,X8,X3,X7,X2,X6,X1,X5,X0] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| ~ sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8,X9] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6,X7,X8,X9] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| g1_vectsp_2(X0,X1,X2,X3,X4) != g1_vectsp_2(X5,X6,X7,X8,X9) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_1(X4)
& m1_subset_1(X3,X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& l1_struct_0(X0) )
=> ! [X5,X6,X7,X8,X9] :
( g1_vectsp_2(X0,X1,X2,X3,X4) = g1_vectsp_2(X5,X6,X7,X8,X9)
=> ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_vectsp_2) ).
fof(f1190,plain,
spl33_153,
inference(avatar_split_clause,[],[f346,f1188]) ).
fof(f346,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
& v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f1185,plain,
spl33_152,
inference(avatar_split_clause,[],[f345,f1183]) ).
fof(f345,plain,
! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f1179,plain,
( spl33_151
| ~ spl33_21
| ~ spl33_106 ),
inference(avatar_split_clause,[],[f902,f867,f481,f1176]) ).
fof(f1176,plain,
( spl33_151
<=> r1_tarski(sK7,u1_struct_0(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_151])]) ).
fof(f902,plain,
( r1_tarski(sK7,u1_struct_0(sK6))
| ~ spl33_21
| ~ spl33_106 ),
inference(resolution,[],[f868,f483]) ).
fof(f1174,plain,
spl33_150,
inference(avatar_split_clause,[],[f356,f1172]) ).
fof(f356,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(k2_rmod_3(X0,X1,X2,X3),X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ( m1_rmod_2(k2_rmod_3(X0,X1,X2,X3),X0,X1)
& v3_vectsp_2(k2_rmod_3(X0,X1,X2,X3),X0) )
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ( m1_rmod_2(k2_rmod_3(X0,X1,X2,X3),X0,X1)
& v3_vectsp_2(k2_rmod_3(X0,X1,X2,X3),X0) )
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( ( m1_rmod_2(X3,X0,X1)
& m1_rmod_2(X2,X0,X1)
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_rmod_2(k2_rmod_3(X0,X1,X2,X3),X0,X1)
& v3_vectsp_2(k2_rmod_3(X0,X1,X2,X3),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_rmod_3) ).
fof(f1169,plain,
spl33_149,
inference(avatar_split_clause,[],[f355,f1167]) ).
fof(f355,plain,
! [X2,X3,X0,X1] :
( v3_vectsp_2(k2_rmod_3(X0,X1,X2,X3),X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f1164,plain,
spl33_148,
inference(avatar_split_clause,[],[f357,f1162]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4] :
( ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4))
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4] :
( ( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4] :
( ( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4)) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X1)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_1(X4)
& m1_subset_1(X3,X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& ~ v1_xboole_0(X1)
& l1_struct_0(X0) )
=> ( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& ~ v3_struct_0(g1_vectsp_2(X0,X1,X2,X3,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_vectsp_2) ).
fof(f1155,plain,
spl33_147,
inference(avatar_split_clause,[],[f360,f1153]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X4] :
( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4] :
( ( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4] :
( ( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0) )
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
& v1_funct_1(X4)
& m1_subset_1(X3,X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2)
& l1_struct_0(X0) )
=> ( l1_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
& v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_vectsp_2) ).
fof(f1151,plain,
spl33_146,
inference(avatar_split_clause,[],[f359,f1149]) ).
fof(f359,plain,
! [X2,X3,X0,X1,X4] :
( v3_vectsp_2(g1_vectsp_2(X0,X1,X2,X3,X4),X0)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,u1_struct_0(X0)),X1)
| ~ v1_funct_1(X4)
| ~ m1_subset_1(X3,X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f1147,plain,
spl33_145,
inference(avatar_split_clause,[],[f323,f1145]) ).
fof(f323,plain,
! [X2,X0,X1] :
( sP2(X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ! [X2] :
( sP2(X0,X2)
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f125,f162]) ).
fof(f162,plain,
! [X0,X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ sP2(X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ! [X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(f1143,plain,
spl33_144,
inference(avatar_split_clause,[],[f324,f1141]) ).
fof(f324,plain,
! [X0,X1] :
( m1_rmod_2(sK18(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0,X1] :
( m1_rmod_2(sK18(X0,X1),X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f127,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ? [X2] : m1_rmod_2(X2,X0,X1)
=> m1_rmod_2(sK18(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] : m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2] : m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] : m1_rmod_2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_rmod_2) ).
fof(f1133,plain,
spl33_143,
inference(avatar_split_clause,[],[f333,f1131]) ).
fof(f333,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f129,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_rmod_2) ).
fof(f1125,plain,
spl33_142,
inference(avatar_split_clause,[],[f304,f1123]) ).
fof(f304,plain,
! [X0] :
( sP1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( sP1(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f117,f160]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc16_vectsp_2) ).
fof(f1121,plain,
spl33_141,
inference(avatar_split_clause,[],[f295,f1119]) ).
fof(f295,plain,
! [X0] :
( sP0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( sP0(X0)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f115,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f115,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ( l3_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc13_vectsp_2) ).
fof(f1112,plain,
( spl33_140
| ~ spl33_47
| ~ spl33_130 ),
inference(avatar_split_clause,[],[f1062,f1034,f601,f1109]) ).
fof(f1034,plain,
( spl33_130
<=> l2_struct_0(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_130])]) ).
fof(f1062,plain,
( l1_struct_0(sK6)
| ~ spl33_47
| ~ spl33_130 ),
inference(resolution,[],[f1036,f602]) ).
fof(f1036,plain,
( l2_struct_0(sK6)
| ~ spl33_130 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1107,plain,
spl33_139,
inference(avatar_split_clause,[],[f337,f1105]) ).
fof(f337,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1
| ~ v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& l1_struct_0(X0) )
=> ( v3_vectsp_2(X1,X0)
=> g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_vectsp_2) ).
fof(f1093,plain,
spl33_138,
inference(avatar_split_clause,[],[f351,f1091]) ).
fof(f351,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k5_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(f1078,plain,
spl33_137,
inference(avatar_split_clause,[],[f350,f1076]) ).
fof(f350,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f1074,plain,
spl33_136,
inference(avatar_split_clause,[],[f336,f1072]) ).
fof(f336,plain,
! [X0,X1] :
( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_1(u1_vectsp_2(X0,X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_1(u1_vectsp_2(X0,X1)) )
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& l1_struct_0(X0) )
=> ( m2_relset_1(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
& v1_funct_1(u1_vectsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_vectsp_2) ).
fof(f1070,plain,
spl33_135,
inference(avatar_split_clause,[],[f335,f1068]) ).
fof(f1068,plain,
( spl33_135
<=> ! [X0,X1] :
( v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_135])]) ).
fof(f335,plain,
! [X0,X1] :
( v1_funct_2(u1_vectsp_2(X0,X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),u1_struct_0(X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f1061,plain,
spl33_134,
inference(avatar_split_clause,[],[f349,f1059]) ).
fof(f349,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f1049,plain,
spl33_133,
inference(avatar_split_clause,[],[f365,f1047]) ).
fof(f1047,plain,
( spl33_133
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_133])]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X0 = X1
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( X0 = X1
& X2 = X3
& X4 = X5
& X6 = X7
& X8 = X9 )
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X9,X4,X8,X3,X7,X2,X6,X1,X5,X0] :
( ( X4 = X9
& X3 = X8
& X2 = X7
& X1 = X6
& X0 = X5 )
| ~ sP4(X9,X4,X8,X3,X7,X2,X6,X1,X5,X0) ),
inference(nnf_transformation,[],[f166]) ).
fof(f1045,plain,
spl33_132,
inference(avatar_split_clause,[],[f364,f1043]) ).
fof(f1043,plain,
( spl33_132
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X2 = X3
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_132])]) ).
fof(f364,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X2 = X3
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1041,plain,
spl33_131,
inference(avatar_split_clause,[],[f363,f1039]) ).
fof(f1039,plain,
( spl33_131
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X5
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_131])]) ).
fof(f363,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X5
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1037,plain,
( spl33_130
| ~ spl33_46
| ~ spl33_119 ),
inference(avatar_split_clause,[],[f996,f961,f597,f1034]) ).
fof(f961,plain,
( spl33_119
<=> l1_rlvect_1(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_119])]) ).
fof(f996,plain,
( l2_struct_0(sK6)
| ~ spl33_46
| ~ spl33_119 ),
inference(resolution,[],[f963,f598]) ).
fof(f963,plain,
( l1_rlvect_1(sK6)
| ~ spl33_119 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f1032,plain,
spl33_129,
inference(avatar_split_clause,[],[f362,f1030]) ).
fof(f1030,plain,
( spl33_129
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X6 = X7
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_129])]) ).
fof(f362,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X6 = X7
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1028,plain,
spl33_128,
inference(avatar_split_clause,[],[f361,f1026]) ).
fof(f1026,plain,
( spl33_128
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X8 = X9
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_128])]) ).
fof(f361,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( X8 = X9
| ~ sP4(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f207]) ).
fof(f1024,plain,
spl33_127,
inference(avatar_split_clause,[],[f348,f1022]) ).
fof(f348,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X1) = X1
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X1) = X1
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X1) = X1
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k5_subset_1) ).
fof(f1019,plain,
spl33_126,
inference(avatar_split_clause,[],[f273,f1017]) ).
fof(f273,plain,
! [X0] :
( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_rlvect_1(X0)) )
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> ( m2_relset_1(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_rlvect_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_rlvect_1) ).
fof(f1015,plain,
spl33_125,
inference(avatar_split_clause,[],[f272,f1013]) ).
fof(f1013,plain,
( spl33_125
<=> ! [X0] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_125])]) ).
fof(f272,plain,
! [X0] :
( v1_funct_2(u1_rlvect_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f991,plain,
spl33_124,
inference(avatar_split_clause,[],[f347,f989]) ).
fof(f347,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f987,plain,
spl33_123,
inference(avatar_split_clause,[],[f344,f985]) ).
fof(f344,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,[],[f136]) ).
fof(f136,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,[],[f29]) ).
fof(f29,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f983,plain,
spl33_122,
inference(avatar_split_clause,[],[f284,f981]) ).
fof(f284,plain,
! [X0] :
( m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( ~ v1_xboole_0(sK13(X0))
& m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f109,f181]) ).
fof(f181,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK13(X0))
& m1_subset_1(sK13(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f979,plain,
spl33_121,
inference(avatar_split_clause,[],[f266,f977]) ).
fof(f266,plain,
! [X0] :
( v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v8_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v8_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v8_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_vectsp_2) ).
fof(f975,plain,
spl33_120,
inference(avatar_split_clause,[],[f264,f973]) ).
fof(f264,plain,
! [X0] :
( v8_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) )
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v6_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> ( ( v6_vectsp_1(X0)
& v7_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( v8_vectsp_1(X0)
& v6_vectsp_1(X0)
& v2_group_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_vectsp_2) ).
fof(f964,plain,
( ~ spl33_97
| spl33_119
| ~ spl33_20
| ~ spl33_96 ),
inference(avatar_split_clause,[],[f883,f826,f476,f961,f830]) ).
fof(f883,plain,
( l1_rlvect_1(sK6)
| ~ l1_struct_0(sK5)
| ~ spl33_20
| ~ spl33_96 ),
inference(resolution,[],[f827,f478]) ).
fof(f959,plain,
spl33_118,
inference(avatar_split_clause,[],[f354,f957]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f955,plain,
spl33_117,
inference(avatar_split_clause,[],[f334,f953]) ).
fof(f953,plain,
( spl33_117
<=> ! [X0,X1] :
( v1_funct_1(u1_vectsp_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_117])]) ).
fof(f334,plain,
! [X0,X1] :
( v1_funct_1(u1_vectsp_2(X0,X1))
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f951,plain,
spl33_116,
inference(avatar_split_clause,[],[f325,f949]) ).
fof(f325,plain,
! [X0,X1] :
( m1_rmod_2(sK19(X0,X1),X0,X1)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( v5_vectsp_2(sK19(X0,X1),X0)
& v3_vectsp_2(sK19(X0,X1),X0)
& v6_rlvect_1(sK19(X0,X1))
& v5_rlvect_1(sK19(X0,X1))
& v4_rlvect_1(sK19(X0,X1))
& v3_rlvect_1(sK19(X0,X1))
& ~ v3_struct_0(sK19(X0,X1))
& m1_rmod_2(sK19(X0,X1),X0,X1) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f197,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
=> ( v5_vectsp_2(sK19(X0,X1),X0)
& v3_vectsp_2(sK19(X0,X1),X0)
& v6_rlvect_1(sK19(X0,X1))
& v5_rlvect_1(sK19(X0,X1))
& v4_rlvect_1(sK19(X0,X1))
& v3_rlvect_1(sK19(X0,X1))
& ~ v3_struct_0(sK19(X0,X1))
& m1_rmod_2(sK19(X0,X1),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X0,X1] :
( ? [X2] :
( v5_vectsp_2(X2,X0)
& v3_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& m1_rmod_2(X2,X0,X1) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f164]) ).
fof(f937,plain,
spl33_115,
inference(avatar_split_clause,[],[f353,f935]) ).
fof(f353,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,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,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f932,plain,
spl33_114,
inference(avatar_split_clause,[],[f352,f930]) ).
fof(f352,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f928,plain,
spl33_113,
inference(avatar_split_clause,[],[f332,f926]) ).
fof(f926,plain,
( spl33_113
<=> ! [X0,X1] :
( v5_vectsp_2(sK19(X0,X1),X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_113])]) ).
fof(f332,plain,
! [X0,X1] :
( v5_vectsp_2(sK19(X0,X1),X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f924,plain,
spl33_112,
inference(avatar_split_clause,[],[f331,f922]) ).
fof(f331,plain,
! [X0,X1] :
( v3_vectsp_2(sK19(X0,X1),X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f920,plain,
spl33_111,
inference(avatar_split_clause,[],[f315,f918]) ).
fof(f918,plain,
( spl33_111
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_111])]) ).
fof(f315,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f916,plain,
spl33_110,
inference(avatar_split_clause,[],[f314,f914]) ).
fof(f314,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f882,plain,
spl33_109,
inference(avatar_split_clause,[],[f340,f880]) ).
fof(f340,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f878,plain,
( spl33_108
| ~ spl33_43
| ~ spl33_81 ),
inference(avatar_split_clause,[],[f816,f763,f585,f875]) ).
fof(f875,plain,
( spl33_108
<=> l1_group_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_108])]) ).
fof(f763,plain,
( spl33_81
<=> l1_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_81])]) ).
fof(f816,plain,
( l1_group_1(sK5)
| ~ spl33_43
| ~ spl33_81 ),
inference(resolution,[],[f765,f586]) ).
fof(f765,plain,
( l1_vectsp_1(sK5)
| ~ spl33_81 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f873,plain,
spl33_107,
inference(avatar_split_clause,[],[f339,f871]) ).
fof(f339,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,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,[],[f75]) ).
fof(f75,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f869,plain,
spl33_106,
inference(avatar_split_clause,[],[f338,f867]) ).
fof(f338,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f865,plain,
spl33_105,
inference(avatar_split_clause,[],[f330,f863]) ).
fof(f863,plain,
( spl33_105
<=> ! [X0,X1] :
( v6_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_105])]) ).
fof(f330,plain,
! [X0,X1] :
( v6_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f861,plain,
spl33_104,
inference(avatar_split_clause,[],[f329,f859]) ).
fof(f859,plain,
( spl33_104
<=> ! [X0,X1] :
( v5_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_104])]) ).
fof(f329,plain,
! [X0,X1] :
( v5_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f857,plain,
spl33_103,
inference(avatar_split_clause,[],[f328,f855]) ).
fof(f855,plain,
( spl33_103
<=> ! [X0,X1] :
( v4_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_103])]) ).
fof(f328,plain,
! [X0,X1] :
( v4_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f853,plain,
spl33_102,
inference(avatar_split_clause,[],[f327,f851]) ).
fof(f851,plain,
( spl33_102
<=> ! [X0,X1] :
( v3_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_102])]) ).
fof(f327,plain,
! [X0,X1] :
( v3_rlvect_1(sK19(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f849,plain,
spl33_101,
inference(avatar_split_clause,[],[f326,f847]) ).
fof(f847,plain,
( spl33_101
<=> ! [X0,X1] :
( ~ v3_struct_0(sK19(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_101])]) ).
fof(f326,plain,
! [X0,X1] :
( ~ v3_struct_0(sK19(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
fof(f845,plain,
spl33_100,
inference(avatar_split_clause,[],[f311,f843]) ).
fof(f311,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f841,plain,
spl33_99,
inference(avatar_split_clause,[],[f285,f839]) ).
fof(f839,plain,
( spl33_99
<=> ! [X0] :
( ~ v1_xboole_0(sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_99])]) ).
fof(f285,plain,
! [X0] :
( ~ v1_xboole_0(sK13(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f837,plain,
spl33_98,
inference(avatar_split_clause,[],[f283,f835]) ).
fof(f283,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f833,plain,
( spl33_97
| ~ spl33_47
| ~ spl33_76 ),
inference(avatar_split_clause,[],[f807,f741,f601,f830]) ).
fof(f741,plain,
( spl33_76
<=> l2_struct_0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_76])]) ).
fof(f807,plain,
( l1_struct_0(sK5)
| ~ spl33_47
| ~ spl33_76 ),
inference(resolution,[],[f743,f602]) ).
fof(f743,plain,
( l2_struct_0(sK5)
| ~ spl33_76 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f828,plain,
spl33_96,
inference(avatar_split_clause,[],[f276,f826]) ).
fof(f276,plain,
! [X0,X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(f824,plain,
spl33_95,
inference(avatar_split_clause,[],[f275,f822]) ).
fof(f275,plain,
! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( m1_subset_1(u2_struct_0(X0),u1_struct_0(X0))
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( l2_struct_0(X0)
=> m1_subset_1(u2_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_struct_0) ).
fof(f820,plain,
spl33_94,
inference(avatar_split_clause,[],[f256,f818]) ).
fof(f256,plain,
! [X0] :
( m1_subset_1(sK9(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f88,f173]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK9(X0))
& m1_subset_1(sK9(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f815,plain,
spl33_93,
inference(avatar_split_clause,[],[f343,f813]) ).
fof(f343,plain,
! [X0,X1] : m2_relset_1(sK21(X0,X1),X0,X1),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] : m2_relset_1(sK21(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f45,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK21(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f45,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f811,plain,
spl33_92,
inference(avatar_split_clause,[],[f342,f809]) ).
fof(f342,plain,
! [X0,X1] : m1_relset_1(sK20(X0,X1),X0,X1),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] : m1_relset_1(sK20(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f42,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK20(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f42,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f806,plain,
spl33_91,
inference(avatar_split_clause,[],[f322,f804]) ).
fof(f322,plain,
! [X0,X1] :
( l1_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f193]) ).
fof(f193,plain,
! [X0,X2] :
( ( l1_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
| ~ sP2(X0,X2) ),
inference(nnf_transformation,[],[f162]) ).
fof(f802,plain,
spl33_90,
inference(avatar_split_clause,[],[f321,f800]) ).
fof(f321,plain,
! [X0,X1] :
( v5_vectsp_2(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f798,plain,
spl33_89,
inference(avatar_split_clause,[],[f313,f796]) ).
fof(f796,plain,
( spl33_89
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_89])]) ).
fof(f313,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f794,plain,
spl33_88,
inference(avatar_split_clause,[],[f312,f792]) ).
fof(f312,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f790,plain,
spl33_87,
inference(avatar_split_clause,[],[f303,f788]) ).
fof(f303,plain,
! [X0] :
( v5_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ( v5_vectsp_2(sK15(X0),X0)
& v3_vectsp_2(sK15(X0),X0)
& v6_rlvect_1(sK15(X0))
& v5_rlvect_1(sK15(X0))
& v4_rlvect_1(sK15(X0))
& v3_rlvect_1(sK15(X0))
& ~ v3_struct_0(sK15(X0))
& l1_vectsp_2(sK15(X0),X0) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f186,f187]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
=> ( v5_vectsp_2(sK15(X0),X0)
& v3_vectsp_2(sK15(X0),X0)
& v6_rlvect_1(sK15(X0))
& v5_rlvect_1(sK15(X0))
& v4_rlvect_1(sK15(X0))
& v3_rlvect_1(sK15(X0))
& ~ v3_struct_0(sK15(X0))
& l1_vectsp_2(sK15(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0] :
( ? [X1] :
( v5_vectsp_2(X1,X0)
& v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f786,plain,
spl33_86,
inference(avatar_split_clause,[],[f302,f784]) ).
fof(f302,plain,
! [X0] :
( v3_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f782,plain,
spl33_85,
inference(avatar_split_clause,[],[f296,f780]) ).
fof(f296,plain,
! [X0] :
( l1_vectsp_2(sK15(X0),X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f778,plain,
spl33_84,
inference(avatar_split_clause,[],[f294,f776]) ).
fof(f294,plain,
! [X0] :
( v3_vectsp_2(sK14(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( v3_vectsp_2(sK14(X0),X0)
& v6_rlvect_1(sK14(X0))
& v5_rlvect_1(sK14(X0))
& v4_rlvect_1(sK14(X0))
& v3_rlvect_1(sK14(X0))
& ~ v3_struct_0(sK14(X0))
& l1_vectsp_2(sK14(X0),X0) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f183,f184]) ).
fof(f184,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
=> ( v3_vectsp_2(sK14(X0),X0)
& v6_rlvect_1(sK14(X0))
& v5_rlvect_1(sK14(X0))
& v4_rlvect_1(sK14(X0))
& v3_rlvect_1(sK14(X0))
& ~ v3_struct_0(sK14(X0))
& l1_vectsp_2(sK14(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f158]) ).
fof(f774,plain,
spl33_83,
inference(avatar_split_clause,[],[f288,f772]) ).
fof(f288,plain,
! [X0] :
( l1_vectsp_2(sK14(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f770,plain,
spl33_82,
inference(avatar_split_clause,[],[f281,f768]) ).
fof(f281,plain,
! [X0] :
( v3_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( v3_vectsp_2(sK12(X0),X0)
& l1_vectsp_2(sK12(X0),X0) )
| ~ l1_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f104,f179]) ).
fof(f179,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ( v3_vectsp_2(sK12(X0),X0)
& l1_vectsp_2(sK12(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( v3_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( l1_struct_0(X0)
=> ? [X1] :
( v3_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc8_vectsp_2) ).
fof(f766,plain,
( spl33_81
| ~ spl33_41
| ~ spl33_64 ),
inference(avatar_split_clause,[],[f736,f682,f577,f763]) ).
fof(f682,plain,
( spl33_64
<=> l2_vectsp_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_64])]) ).
fof(f736,plain,
( l1_vectsp_1(sK5)
| ~ spl33_41
| ~ spl33_64 ),
inference(resolution,[],[f684,f578]) ).
fof(f684,plain,
( l2_vectsp_1(sK5)
| ~ spl33_64 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f761,plain,
spl33_80,
inference(avatar_split_clause,[],[f280,f759]) ).
fof(f280,plain,
! [X0] :
( l1_vectsp_2(sK12(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f757,plain,
spl33_79,
inference(avatar_split_clause,[],[f278,f755]) ).
fof(f278,plain,
! [X0] :
( l1_vectsp_2(sK11(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( ~ v3_struct_0(sK11(X0))
& l1_vectsp_2(sK11(X0),X0) )
| ~ l1_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f103,f177]) ).
fof(f177,plain,
! [X0] :
( ? [X1] :
( ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
=> ( ~ v3_struct_0(sK11(X0))
& l1_vectsp_2(sK11(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( l1_struct_0(X0)
=> ? [X1] :
( ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc9_vectsp_2) ).
fof(f753,plain,
spl33_78,
inference(avatar_split_clause,[],[f277,f751]) ).
fof(f277,plain,
! [X0] :
( l1_vectsp_2(sK10(X0),X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( l1_vectsp_2(sK10(X0),X0)
| ~ l1_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f102,f175]) ).
fof(f175,plain,
! [X0] :
( ? [X1] : l1_vectsp_2(X1,X0)
=> l1_vectsp_2(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ? [X1] : l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( l1_struct_0(X0)
=> ? [X1] : l1_vectsp_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_vectsp_2) ).
fof(f749,plain,
~ spl33_77,
inference(avatar_split_clause,[],[f252,f746]) ).
fof(f252,plain,
~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,sK8))),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,sK8)))
& m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
& l1_vectsp_2(sK6,sK5)
& v5_vectsp_2(sK6,sK5)
& v6_rlvect_1(sK6)
& v5_rlvect_1(sK6)
& v4_rlvect_1(sK6)
& v3_rlvect_1(sK6)
& ~ v3_struct_0(sK6)
& l3_vectsp_1(sK5)
& v2_vectsp_2(sK5)
& ~ v10_vectsp_1(sK5)
& v8_vectsp_1(sK5)
& v7_vectsp_1(sK5)
& v6_vectsp_1(sK5)
& v7_group_1(sK5)
& v4_group_1(sK5)
& v6_rlvect_1(sK5)
& v5_rlvect_1(sK5)
& v4_rlvect_1(sK5)
& v3_rlvect_1(sK5)
& ~ v3_struct_0(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f87,f171,f170,f169,f168]) ).
fof(f168,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK5,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),sK5,k2_rmod_3(sK5,X1,k1_rmod_5(sK5,X1,X2),k1_rmod_5(sK5,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK5)
& v5_vectsp_2(X1,sK5)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(sK5)
& v2_vectsp_2(sK5)
& ~ v10_vectsp_1(sK5)
& v8_vectsp_1(sK5)
& v7_vectsp_1(sK5)
& v6_vectsp_1(sK5)
& v7_group_1(sK5)
& v4_group_1(sK5)
& v6_rlvect_1(sK5)
& v5_rlvect_1(sK5)
& v4_rlvect_1(sK5)
& v3_rlvect_1(sK5)
& ~ v3_struct_0(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK5,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),sK5,k2_rmod_3(sK5,X1,k1_rmod_5(sK5,X1,X2),k1_rmod_5(sK5,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,sK5)
& v5_vectsp_2(X1,sK5)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),X2,X3)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,X2),k1_rmod_5(sK5,sK6,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK6))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK6))) )
& l1_vectsp_2(sK6,sK5)
& v5_vectsp_2(sK6,sK5)
& v6_rlvect_1(sK6)
& v5_rlvect_1(sK6)
& v4_rlvect_1(sK6)
& v3_rlvect_1(sK6)
& ~ v3_struct_0(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),X2,X3)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,X2),k1_rmod_5(sK5,sK6,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK6))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK6))) )
=> ( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,X3)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK6))) )
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,X3)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK6))) )
=> ( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,sK8)))
& m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6))) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
& l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_vectsp_1(X0)
& v2_vectsp_2(X0)
& ~ v10_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v7_group_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v3_rlvect_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l1_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_rmod_5) ).
fof(f744,plain,
( spl33_76
| ~ spl33_46
| ~ spl33_53 ),
inference(avatar_split_clause,[],[f726,f637,f597,f741]) ).
fof(f637,plain,
( spl33_53
<=> l1_rlvect_1(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_53])]) ).
fof(f726,plain,
( l2_struct_0(sK5)
| ~ spl33_46
| ~ spl33_53 ),
inference(resolution,[],[f639,f598]) ).
fof(f639,plain,
( l1_rlvect_1(sK5)
| ~ spl33_53 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f730,plain,
spl33_75,
inference(avatar_split_clause,[],[f341,f728]) ).
fof(f728,plain,
( spl33_75
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_75])]) ).
fof(f341,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f725,plain,
spl33_74,
inference(avatar_split_clause,[],[f320,f723]) ).
fof(f320,plain,
! [X0,X1] :
( v6_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f721,plain,
spl33_73,
inference(avatar_split_clause,[],[f319,f719]) ).
fof(f319,plain,
! [X0,X1] :
( v5_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f717,plain,
spl33_72,
inference(avatar_split_clause,[],[f318,f715]) ).
fof(f318,plain,
! [X0,X1] :
( v4_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f713,plain,
spl33_71,
inference(avatar_split_clause,[],[f317,f711]) ).
fof(f317,plain,
! [X0,X1] :
( v3_rlvect_1(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f709,plain,
spl33_70,
inference(avatar_split_clause,[],[f316,f707]) ).
fof(f316,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f705,plain,
spl33_69,
inference(avatar_split_clause,[],[f310,f703]) ).
fof(f310,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f701,plain,
spl33_68,
inference(avatar_split_clause,[],[f309,f699]) ).
fof(f309,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f52]) ).
fof(f52,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f697,plain,
spl33_67,
inference(avatar_split_clause,[],[f306,f695]) ).
fof(f306,plain,
! [X0] : m1_subset_1(sK17(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f59,f191]) ).
fof(f191,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f693,plain,
spl33_66,
inference(avatar_split_clause,[],[f301,f691]) ).
fof(f691,plain,
( spl33_66
<=> ! [X0] :
( v6_rlvect_1(sK15(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_66])]) ).
fof(f301,plain,
! [X0] :
( v6_rlvect_1(sK15(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f689,plain,
spl33_65,
inference(avatar_split_clause,[],[f300,f687]) ).
fof(f687,plain,
( spl33_65
<=> ! [X0] :
( v5_rlvect_1(sK15(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_65])]) ).
fof(f300,plain,
! [X0] :
( v5_rlvect_1(sK15(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f685,plain,
( spl33_64
| ~ spl33_13
| ~ spl33_45 ),
inference(avatar_split_clause,[],[f619,f593,f441,f682]) ).
fof(f619,plain,
( l2_vectsp_1(sK5)
| ~ spl33_13
| ~ spl33_45 ),
inference(resolution,[],[f594,f443]) ).
fof(f680,plain,
spl33_63,
inference(avatar_split_clause,[],[f299,f678]) ).
fof(f678,plain,
( spl33_63
<=> ! [X0] :
( v4_rlvect_1(sK15(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_63])]) ).
fof(f299,plain,
! [X0] :
( v4_rlvect_1(sK15(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f676,plain,
spl33_62,
inference(avatar_split_clause,[],[f298,f674]) ).
fof(f674,plain,
( spl33_62
<=> ! [X0] :
( v3_rlvect_1(sK15(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_62])]) ).
fof(f298,plain,
! [X0] :
( v3_rlvect_1(sK15(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f672,plain,
spl33_61,
inference(avatar_split_clause,[],[f297,f670]) ).
fof(f670,plain,
( spl33_61
<=> ! [X0] :
( ~ v3_struct_0(sK15(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_61])]) ).
fof(f297,plain,
! [X0] :
( ~ v3_struct_0(sK15(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f668,plain,
spl33_60,
inference(avatar_split_clause,[],[f293,f666]) ).
fof(f666,plain,
( spl33_60
<=> ! [X0] :
( v6_rlvect_1(sK14(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_60])]) ).
fof(f293,plain,
! [X0] :
( v6_rlvect_1(sK14(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f664,plain,
spl33_59,
inference(avatar_split_clause,[],[f292,f662]) ).
fof(f662,plain,
( spl33_59
<=> ! [X0] :
( v5_rlvect_1(sK14(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_59])]) ).
fof(f292,plain,
! [X0] :
( v5_rlvect_1(sK14(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f660,plain,
spl33_58,
inference(avatar_split_clause,[],[f291,f658]) ).
fof(f658,plain,
( spl33_58
<=> ! [X0] :
( v4_rlvect_1(sK14(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_58])]) ).
fof(f291,plain,
! [X0] :
( v4_rlvect_1(sK14(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f656,plain,
spl33_57,
inference(avatar_split_clause,[],[f290,f654]) ).
fof(f654,plain,
( spl33_57
<=> ! [X0] :
( v3_rlvect_1(sK14(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_57])]) ).
fof(f290,plain,
! [X0] :
( v3_rlvect_1(sK14(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f652,plain,
spl33_56,
inference(avatar_split_clause,[],[f289,f650]) ).
fof(f650,plain,
( spl33_56
<=> ! [X0] :
( ~ v3_struct_0(sK14(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_56])]) ).
fof(f289,plain,
! [X0] :
( ~ v3_struct_0(sK14(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f648,plain,
spl33_55,
inference(avatar_split_clause,[],[f282,f646]) ).
fof(f282,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f644,plain,
spl33_54,
inference(avatar_split_clause,[],[f279,f642]) ).
fof(f642,plain,
( spl33_54
<=> ! [X0] :
( ~ v3_struct_0(sK11(X0))
| ~ l1_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_54])]) ).
fof(f279,plain,
! [X0] :
( ~ v3_struct_0(sK11(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f640,plain,
( spl33_53
| ~ spl33_13
| ~ spl33_44 ),
inference(avatar_split_clause,[],[f617,f589,f441,f637]) ).
fof(f617,plain,
( l1_rlvect_1(sK5)
| ~ spl33_13
| ~ spl33_44 ),
inference(resolution,[],[f590,f443]) ).
fof(f635,plain,
spl33_52,
inference(avatar_split_clause,[],[f271,f633]) ).
fof(f633,plain,
( spl33_52
<=> ! [X0] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_52])]) ).
fof(f271,plain,
! [X0] :
( v1_funct_1(u1_rlvect_1(X0))
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f631,plain,
spl33_51,
inference(avatar_split_clause,[],[f257,f629]) ).
fof(f629,plain,
( spl33_51
<=> ! [X0] :
( ~ v1_xboole_0(sK9(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_51])]) ).
fof(f257,plain,
! [X0] :
( ~ v1_xboole_0(sK9(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f627,plain,
spl33_50,
inference(avatar_split_clause,[],[f255,f625]) ).
fof(f255,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(f614,plain,
( spl33_49
| ~ spl33_25
| ~ spl33_40 ),
inference(avatar_split_clause,[],[f608,f573,f501,f611]) ).
fof(f611,plain,
( spl33_49
<=> l1_struct_0(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_49])]) ).
fof(f501,plain,
( spl33_25
<=> l1_group_1(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_25])]) ).
fof(f608,plain,
( l1_struct_0(sK23)
| ~ spl33_25
| ~ spl33_40 ),
inference(resolution,[],[f574,f503]) ).
fof(f503,plain,
( l1_group_1(sK23)
| ~ spl33_25 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f607,plain,
spl33_48,
inference(avatar_split_clause,[],[f305,f605]) ).
fof(f305,plain,
! [X0] : m1_subset_1(sK16(X0),X0),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] : m1_subset_1(sK16(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f44,f189]) ).
fof(f189,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK16(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f44,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f603,plain,
spl33_47,
inference(avatar_split_clause,[],[f274,f601]) ).
fof(f274,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f599,plain,
spl33_46,
inference(avatar_split_clause,[],[f270,f597]) ).
fof(f270,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f595,plain,
spl33_45,
inference(avatar_split_clause,[],[f269,f593]) ).
fof(f269,plain,
! [X0] :
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l2_vectsp_1(X0)
& l1_rlvect_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f591,plain,
spl33_44,
inference(avatar_split_clause,[],[f268,f589]) ).
fof(f268,plain,
! [X0] :
( l1_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f587,plain,
spl33_43,
inference(avatar_split_clause,[],[f261,f585]) ).
fof(f261,plain,
! [X0] :
( l1_group_1(X0)
| ~ l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( l1_group_1(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_1) ).
fof(f583,plain,
spl33_42,
inference(avatar_split_clause,[],[f260,f581]) ).
fof(f260,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ( l2_struct_0(X0)
& l1_vectsp_1(X0) )
| ~ l2_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l2_struct_0(X0)
& l1_vectsp_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f579,plain,
spl33_41,
inference(avatar_split_clause,[],[f259,f577]) ).
fof(f259,plain,
! [X0] :
( l1_vectsp_1(X0)
| ~ l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f575,plain,
spl33_40,
inference(avatar_split_clause,[],[f258,f573]) ).
fof(f258,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f571,plain,
spl33_39,
inference(avatar_split_clause,[],[f308,f569]) ).
fof(f308,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f567,plain,
spl33_38,
inference(avatar_split_clause,[],[f307,f565]) ).
fof(f307,plain,
! [X0] : v1_xboole_0(sK17(X0)),
inference(cnf_transformation,[],[f192]) ).
fof(f563,plain,
spl33_37,
inference(avatar_split_clause,[],[f254,f561]) ).
fof(f254,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f559,plain,
~ spl33_36,
inference(avatar_split_clause,[],[f379,f556]) ).
fof(f556,plain,
( spl33_36
<=> v3_struct_0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_36])]) ).
fof(f379,plain,
~ v3_struct_0(sK32),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ~ v3_struct_0(sK32)
& l1_struct_0(sK32) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f61,f228]) ).
fof(f228,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK32)
& l1_struct_0(sK32) ) ),
introduced(choice_axiom,[]) ).
fof(f61,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f554,plain,
spl33_35,
inference(avatar_split_clause,[],[f378,f551]) ).
fof(f551,plain,
( spl33_35
<=> l1_struct_0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_35])]) ).
fof(f378,plain,
l1_struct_0(sK32),
inference(cnf_transformation,[],[f229]) ).
fof(f549,plain,
~ spl33_34,
inference(avatar_split_clause,[],[f377,f546]) ).
fof(f546,plain,
( spl33_34
<=> v3_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_34])]) ).
fof(f377,plain,
~ v3_struct_0(sK31),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ~ v3_struct_0(sK31)
& l2_struct_0(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f62,f226]) ).
fof(f226,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l2_struct_0(X0) )
=> ( ~ v3_struct_0(sK31)
& l2_struct_0(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f62,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_struct_0) ).
fof(f544,plain,
spl33_33,
inference(avatar_split_clause,[],[f376,f541]) ).
fof(f376,plain,
l2_struct_0(sK31),
inference(cnf_transformation,[],[f227]) ).
fof(f539,plain,
spl33_32,
inference(avatar_split_clause,[],[f375,f536]) ).
fof(f375,plain,
v1_xboole_0(sK30),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
v1_xboole_0(sK30),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f58,f224]) ).
fof(f224,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK30) ),
introduced(choice_axiom,[]) ).
fof(f58,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f534,plain,
spl33_31,
inference(avatar_split_clause,[],[f374,f531]) ).
fof(f531,plain,
( spl33_31
<=> l1_struct_0(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_31])]) ).
fof(f374,plain,
l1_struct_0(sK29),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
l1_struct_0(sK29),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f36,f222]) ).
fof(f222,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK29) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f529,plain,
spl33_30,
inference(avatar_split_clause,[],[f373,f526]) ).
fof(f373,plain,
l2_struct_0(sK28),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
l2_struct_0(sK28),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f39,f220]) ).
fof(f220,plain,
( ? [X0] : l2_struct_0(X0)
=> l2_struct_0(sK28) ),
introduced(choice_axiom,[]) ).
fof(f39,axiom,
? [X0] : l2_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_struct_0) ).
fof(f524,plain,
spl33_29,
inference(avatar_split_clause,[],[f372,f521]) ).
fof(f372,plain,
l1_rlvect_1(sK27),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
l1_rlvect_1(sK27),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f35,f218]) ).
fof(f218,plain,
( ? [X0] : l1_rlvect_1(X0)
=> l1_rlvect_1(sK27) ),
introduced(choice_axiom,[]) ).
fof(f35,axiom,
? [X0] : l1_rlvect_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_rlvect_1) ).
fof(f519,plain,
spl33_28,
inference(avatar_split_clause,[],[f371,f516]) ).
fof(f371,plain,
l3_vectsp_1(sK26),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
l3_vectsp_1(sK26),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f41,f216]) ).
fof(f216,plain,
( ? [X0] : l3_vectsp_1(X0)
=> l3_vectsp_1(sK26) ),
introduced(choice_axiom,[]) ).
fof(f41,axiom,
? [X0] : l3_vectsp_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l3_vectsp_1) ).
fof(f514,plain,
spl33_27,
inference(avatar_split_clause,[],[f370,f511]) ).
fof(f370,plain,
l1_vectsp_1(sK25),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
l1_vectsp_1(sK25),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f37,f214]) ).
fof(f214,plain,
( ? [X0] : l1_vectsp_1(X0)
=> l1_vectsp_1(sK25) ),
introduced(choice_axiom,[]) ).
fof(f37,axiom,
? [X0] : l1_vectsp_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_vectsp_1) ).
fof(f509,plain,
spl33_26,
inference(avatar_split_clause,[],[f369,f506]) ).
fof(f369,plain,
l2_vectsp_1(sK24),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
l2_vectsp_1(sK24),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f40,f212]) ).
fof(f212,plain,
( ? [X0] : l2_vectsp_1(X0)
=> l2_vectsp_1(sK24) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
? [X0] : l2_vectsp_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l2_vectsp_1) ).
fof(f504,plain,
spl33_25,
inference(avatar_split_clause,[],[f368,f501]) ).
fof(f368,plain,
l1_group_1(sK23),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
l1_group_1(sK23),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f34,f210]) ).
fof(f210,plain,
( ? [X0] : l1_group_1(X0)
=> l1_group_1(sK23) ),
introduced(choice_axiom,[]) ).
fof(f34,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f499,plain,
~ spl33_24,
inference(avatar_split_clause,[],[f367,f496]) ).
fof(f496,plain,
( spl33_24
<=> v1_xboole_0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_24])]) ).
fof(f367,plain,
~ v1_xboole_0(sK22),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
~ v1_xboole_0(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f60,f208]) ).
fof(f208,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK22) ),
introduced(choice_axiom,[]) ).
fof(f60,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f494,plain,
spl33_23,
inference(avatar_split_clause,[],[f253,f491]) ).
fof(f253,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f489,plain,
spl33_22,
inference(avatar_split_clause,[],[f251,f486]) ).
fof(f251,plain,
m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6))),
inference(cnf_transformation,[],[f172]) ).
fof(f484,plain,
spl33_21,
inference(avatar_split_clause,[],[f250,f481]) ).
fof(f250,plain,
m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))),
inference(cnf_transformation,[],[f172]) ).
fof(f479,plain,
spl33_20,
inference(avatar_split_clause,[],[f249,f476]) ).
fof(f249,plain,
l1_vectsp_2(sK6,sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f474,plain,
spl33_19,
inference(avatar_split_clause,[],[f248,f471]) ).
fof(f248,plain,
v5_vectsp_2(sK6,sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f469,plain,
spl33_18,
inference(avatar_split_clause,[],[f247,f466]) ).
fof(f247,plain,
v6_rlvect_1(sK6),
inference(cnf_transformation,[],[f172]) ).
fof(f464,plain,
spl33_17,
inference(avatar_split_clause,[],[f246,f461]) ).
fof(f246,plain,
v5_rlvect_1(sK6),
inference(cnf_transformation,[],[f172]) ).
fof(f459,plain,
spl33_16,
inference(avatar_split_clause,[],[f245,f456]) ).
fof(f245,plain,
v4_rlvect_1(sK6),
inference(cnf_transformation,[],[f172]) ).
fof(f454,plain,
spl33_15,
inference(avatar_split_clause,[],[f244,f451]) ).
fof(f244,plain,
v3_rlvect_1(sK6),
inference(cnf_transformation,[],[f172]) ).
fof(f449,plain,
~ spl33_14,
inference(avatar_split_clause,[],[f243,f446]) ).
fof(f243,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f172]) ).
fof(f444,plain,
spl33_13,
inference(avatar_split_clause,[],[f242,f441]) ).
fof(f242,plain,
l3_vectsp_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f439,plain,
spl33_12,
inference(avatar_split_clause,[],[f241,f436]) ).
fof(f241,plain,
v2_vectsp_2(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f434,plain,
~ spl33_11,
inference(avatar_split_clause,[],[f240,f431]) ).
fof(f240,plain,
~ v10_vectsp_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f429,plain,
spl33_10,
inference(avatar_split_clause,[],[f239,f426]) ).
fof(f239,plain,
v8_vectsp_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f424,plain,
spl33_9,
inference(avatar_split_clause,[],[f238,f421]) ).
fof(f238,plain,
v7_vectsp_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f419,plain,
spl33_8,
inference(avatar_split_clause,[],[f237,f416]) ).
fof(f237,plain,
v6_vectsp_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f414,plain,
spl33_7,
inference(avatar_split_clause,[],[f236,f411]) ).
fof(f236,plain,
v7_group_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f409,plain,
spl33_6,
inference(avatar_split_clause,[],[f235,f406]) ).
fof(f235,plain,
v4_group_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f404,plain,
spl33_5,
inference(avatar_split_clause,[],[f234,f401]) ).
fof(f234,plain,
v6_rlvect_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f399,plain,
spl33_4,
inference(avatar_split_clause,[],[f233,f396]) ).
fof(f233,plain,
v5_rlvect_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f394,plain,
spl33_3,
inference(avatar_split_clause,[],[f232,f391]) ).
fof(f232,plain,
v4_rlvect_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f389,plain,
spl33_2,
inference(avatar_split_clause,[],[f231,f386]) ).
fof(f231,plain,
v3_rlvect_1(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f384,plain,
~ spl33_1,
inference(avatar_split_clause,[],[f230,f381]) ).
fof(f230,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG222+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 19:55:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (30412)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (30417)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (30414)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (30415)WARNING: value z3 for option sas not known
% 0.14/0.37 % (30416)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (30413)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (30418)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (30415)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (30419)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.49 TRYING [1]
% 0.21/0.50 TRYING [2]
% 0.21/0.52 % (30417)First to succeed.
% 0.21/0.54 % (30417)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30412"
% 0.21/0.54 % (30417)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (30417)------------------------------
% 0.21/0.55 % (30417)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.55 % (30417)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (30417)Memory used [KB]: 4038
% 0.21/0.55 % (30417)Time elapsed: 0.176 s
% 0.21/0.55 % (30417)Instructions burned: 429 (million)
% 0.21/0.55 % (30412)Success in time 0.2 s
%------------------------------------------------------------------------------