TSTP Solution File: TOP034+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP034+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:19:02 EDT 2024
% Result : Theorem 1.70s 0.60s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 901
% Syntax : Number of formulae : 3012 ( 227 unt; 0 def)
% Number of atoms : 12567 ( 155 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 16820 (7265 ~;7944 |; 680 &)
% ( 805 <=>; 126 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 845 ( 843 usr; 797 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 7 con; 0-2 aty)
% Number of variables : 2885 (2803 !; 82 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6204,plain,
$false,
inference(avatar_sat_refutation,[],[f530,f535,f540,f545,f550,f555,f560,f565,f570,f575,f580,f585,f590,f595,f600,f605,f610,f615,f620,f625,f630,f635,f640,f644,f648,f652,f656,f660,f664,f668,f672,f676,f680,f684,f688,f692,f696,f700,f704,f708,f712,f716,f720,f724,f728,f732,f736,f740,f744,f748,f752,f756,f760,f764,f768,f772,f776,f780,f784,f788,f792,f796,f800,f804,f808,f812,f816,f823,f832,f844,f848,f852,f856,f860,f864,f869,f873,f877,f881,f885,f889,f893,f897,f901,f905,f909,f914,f918,f922,f926,f930,f934,f938,f945,f961,f965,f969,f973,f977,f981,f985,f989,f993,f997,f1001,f1005,f1014,f1018,f1022,f1026,f1030,f1038,f1042,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1088,f1092,f1097,f1101,f1105,f1109,f1113,f1117,f1121,f1125,f1129,f1133,f1137,f1144,f1148,f1152,f1156,f1160,f1164,f1168,f1172,f1176,f1180,f1185,f1189,f1193,f1227,f1293,f1297,f1301,f1305,f1309,f1313,f1317,f1321,f1325,f1329,f1338,f1351,f1355,f1359,f1363,f1367,f1371,f1375,f1379,f1383,f1387,f1468,f1472,f1476,f1480,f1485,f1491,f1495,f1499,f1503,f1507,f1511,f1518,f1522,f1570,f1574,f1578,f1582,f1586,f1590,f1657,f1661,f1687,f1694,f1698,f1702,f1706,f1756,f1764,f1768,f1777,f1785,f1790,f1791,f1872,f1876,f1880,f1884,f1891,f1896,f1897,f1919,f2069,f2076,f2080,f2084,f2088,f2092,f2096,f2100,f2104,f2108,f2113,f2117,f2121,f2125,f2129,f2133,f2137,f2141,f2145,f2186,f2199,f2203,f2207,f2212,f2216,f2220,f2224,f2228,f2232,f2236,f2240,f2244,f2248,f2252,f2265,f2269,f2273,f2277,f2281,f2285,f2289,f2293,f2297,f2301,f2317,f2321,f2325,f2339,f2353,f2365,f2378,f2382,f2386,f2390,f2394,f2422,f2426,f2430,f2434,f2438,f2442,f2446,f2451,f2463,f2467,f2471,f2475,f2479,f2483,f2487,f2491,f2495,f2499,f2503,f2507,f2511,f2515,f2519,f2524,f2528,f2532,f2536,f2540,f2544,f2548,f2552,f2556,f2560,f2564,f2568,f2572,f2576,f2580,f2584,f2588,f2592,f2596,f2600,f2604,f2609,f2613,f2617,f2621,f2625,f2629,f2633,f2637,f2641,f2645,f2649,f2653,f2657,f2661,f2665,f2669,f2673,f2677,f2681,f2685,f2689,f2694,f2698,f2702,f2706,f2710,f2721,f2726,f2771,f2785,f2789,f2793,f2797,f2801,f2805,f2809,f2813,f2817,f2821,f2825,f2829,f2833,f2837,f2841,f2848,f2860,f2864,f2868,f2872,f2876,f2880,f2884,f2889,f2893,f2897,f2901,f2905,f2909,f2913,f2917,f2921,f2925,f2929,f2935,f2939,f2943,f2947,f2951,f2955,f2959,f2963,f2967,f2971,f2976,f2980,f2984,f2988,f2992,f2996,f3023,f3034,f3038,f3042,f3046,f3050,f3054,f3058,f3062,f3066,f3070,f3074,f3084,f3104,f3108,f3112,f3116,f3120,f3124,f3128,f3132,f3136,f3140,f3144,f3163,f3167,f3171,f3175,f3182,f3186,f3190,f3194,f3198,f3202,f3206,f3210,f3214,f3218,f3225,f3246,f3251,f3255,f3259,f3263,f3269,f3273,f3277,f3281,f3285,f3289,f3293,f3297,f3301,f3305,f3317,f3325,f3329,f3333,f3337,f3341,f3345,f3349,f3357,f3363,f3367,f3432,f3436,f3440,f3445,f3449,f3457,f3461,f3465,f3469,f3473,f3482,f3486,f3501,f3506,f3510,f3514,f3518,f3522,f3526,f3538,f3542,f3546,f3550,f3554,f3558,f3562,f3566,f3570,f3574,f3578,f3582,f3586,f3590,f3594,f3598,f3602,f3606,f3610,f3614,f3618,f3622,f3626,f3630,f3634,f3638,f3661,f3665,f3669,f3673,f3679,f3683,f3687,f3691,f3695,f3704,f3708,f3712,f3716,f3720,f3769,f3779,f3783,f3787,f3791,f3795,f3799,f3803,f3807,f3811,f3820,f3826,f3830,f3834,f3838,f3842,f3846,f3850,f3854,f3858,f3862,f3866,f3870,f3874,f3878,f3882,f3886,f3890,f3894,f3898,f3902,f3906,f3910,f3914,f3918,f3922,f3926,f3930,f3934,f3938,f3955,f3959,f3963,f3967,f3971,f3976,f3980,f3984,f3988,f3992,f4005,f4009,f4013,f4017,f4021,f4025,f4029,f4033,f4037,f4058,f4062,f4066,f4070,f4078,f4082,f4086,f4090,f4094,f4103,f4107,f4111,f4115,f4121,f4127,f4131,f4135,f4139,f4143,f4177,f4181,f4186,f4190,f4194,f4198,f4220,f4224,f4267,f4271,f4275,f4279,f4313,f4317,f4321,f4352,f4358,f4362,f4366,f4370,f4374,f4378,f4382,f4386,f4391,f4395,f4399,f4403,f4407,f4459,f4463,f4467,f4471,f4495,f4499,f4503,f4507,f4511,f4515,f4519,f4523,f4527,f4590,f4594,f4598,f4602,f4629,f4633,f4637,f4641,f4645,f4649,f4653,f4675,f4679,f4683,f4687,f4694,f4698,f4703,f4707,f4721,f4725,f4729,f4736,f4740,f4744,f4748,f4752,f4756,f4760,f4766,f4772,f4776,f4785,f4789,f4793,f4806,f4811,f4816,f4893,f4897,f4901,f4905,f4909,f4913,f4924,f4954,f4958,f4962,f4989,f4993,f4997,f5001,f5005,f5009,f5013,f5017,f5021,f5025,f5029,f5033,f5037,f5041,f5045,f5049,f5053,f5057,f5061,f5065,f5070,f5074,f5078,f5082,f5141,f5146,f5152,f5156,f5160,f5164,f5169,f5173,f5177,f5227,f5231,f5236,f5242,f5246,f5250,f5254,f5258,f5262,f5272,f5292,f5296,f5300,f5304,f5308,f5312,f5317,f5321,f5325,f5329,f5333,f5337,f5350,f5372,f5398,f5402,f5426,f5430,f5434,f5438,f5442,f5494,f5520,f5524,f5528,f5532,f5536,f5540,f5564,f5568,f5572,f5624,f5628,f5632,f5678,f5682,f5706,f5710,f5714,f5718,f5722,f5726,f5758,f5762,f5774,f5778,f5804,f5808,f5814,f5839,f5884,f5909,f5934,f5938,f5942,f5946,f5955,f5970,f5977,f6000,f6001,f6035,f6058,f6081,f6086,f6091,f6092,f6108,f6112,f6202,f6203]) ).
fof(f6203,plain,
( spl35_383
| ~ spl35_197
| ~ spl35_794 ),
inference(avatar_split_clause,[],[f6193,f6110,f1761,f2973]) ).
fof(f2973,plain,
( spl35_383
<=> sP8(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_383])]) ).
fof(f1761,plain,
( spl35_197
<=> sP7(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_197])]) ).
fof(f6110,plain,
( spl35_794
<=> ! [X0,X1] :
( sP8(X0,X1)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_794])]) ).
fof(f6193,plain,
( sP8(sK13,sK12)
| ~ spl35_197
| ~ spl35_794 ),
inference(resolution,[],[f6111,f1763]) ).
fof(f1763,plain,
( sP7(sK13,sK12)
| ~ spl35_197 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f6111,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| sP8(X0,X1) )
| ~ spl35_794 ),
inference(avatar_component_clause,[],[f6110]) ).
fof(f6202,plain,
( ~ spl35_795
| spl35_796
| ~ spl35_97
| ~ spl35_671 ),
inference(avatar_split_clause,[],[f4823,f4803,f967,f6199,f6195]) ).
fof(f6195,plain,
( spl35_795
<=> sP4(sK15(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_795])]) ).
fof(f6199,plain,
( spl35_796
<=> v2_tops_1(k1_xboole_0,sK15(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_796])]) ).
fof(f967,plain,
( spl35_97
<=> ! [X0] :
( v2_tops_1(sK17(X0),X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_97])]) ).
fof(f4803,plain,
( spl35_671
<=> k1_xboole_0 = sK17(sK15(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_671])]) ).
fof(f4823,plain,
( v2_tops_1(k1_xboole_0,sK15(sK32))
| ~ sP4(sK15(sK32))
| ~ spl35_97
| ~ spl35_671 ),
inference(superposition,[],[f968,f4805]) ).
fof(f4805,plain,
( k1_xboole_0 = sK17(sK15(sK32))
| ~ spl35_671 ),
inference(avatar_component_clause,[],[f4803]) ).
fof(f968,plain,
( ! [X0] :
( v2_tops_1(sK17(X0),X0)
| ~ sP4(X0) )
| ~ spl35_97 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f6112,plain,
( spl35_794
| ~ spl35_118
| ~ spl35_706 ),
inference(avatar_split_clause,[],[f5148,f5080,f1060,f6110]) ).
fof(f1060,plain,
( spl35_118
<=> ! [X0,X1] :
( v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_118])]) ).
fof(f5080,plain,
( spl35_706
<=> ! [X0,X1] :
( sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_706])]) ).
fof(f5148,plain,
( ! [X0,X1] :
( sP8(X0,X1)
| ~ sP7(X0,X1) )
| ~ spl35_118
| ~ spl35_706 ),
inference(duplicate_literal_removal,[],[f5147]) ).
fof(f5147,plain,
( ! [X0,X1] :
( sP8(X0,X1)
| ~ sP7(X0,X1)
| ~ sP7(X0,X1) )
| ~ spl35_118
| ~ spl35_706 ),
inference(resolution,[],[f5081,f1061]) ).
fof(f1061,plain,
( ! [X0,X1] :
( v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_118 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f5081,plain,
( ! [X0,X1] :
( ~ v1_funct_1(sK19(X0,X1))
| sP8(X0,X1)
| ~ sP7(X0,X1) )
| ~ spl35_706 ),
inference(avatar_component_clause,[],[f5080]) ).
fof(f6108,plain,
( spl35_793
| ~ spl35_15
| ~ spl35_677 ),
inference(avatar_split_clause,[],[f4934,f4903,f597,f6105]) ).
fof(f6105,plain,
( spl35_793
<=> k1_xboole_0 = sK17(sK16(sK16(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_793])]) ).
fof(f597,plain,
( spl35_15
<=> l1_pre_topc(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_15])]) ).
fof(f4903,plain,
( spl35_677
<=> ! [X0] :
( k1_xboole_0 = sK17(sK16(sK16(X0)))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_677])]) ).
fof(f4934,plain,
( k1_xboole_0 = sK17(sK16(sK16(sK32)))
| ~ spl35_15
| ~ spl35_677 ),
inference(resolution,[],[f4904,f599]) ).
fof(f599,plain,
( l1_pre_topc(sK32)
| ~ spl35_15 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f4904,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK16(sK16(X0))) )
| ~ spl35_677 ),
inference(avatar_component_clause,[],[f4903]) ).
fof(f6092,plain,
( ~ spl35_124
| ~ spl35_458
| spl35_784 ),
inference(avatar_split_clause,[],[f5971,f5963,f3438,f1094]) ).
fof(f1094,plain,
( spl35_124
<=> l1_pre_topc(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_124])]) ).
fof(f3438,plain,
( spl35_458
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| sP4(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_458])]) ).
fof(f5963,plain,
( spl35_784
<=> sP4(sK16(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_784])]) ).
fof(f5971,plain,
( ~ l1_pre_topc(sK13)
| ~ spl35_458
| spl35_784 ),
inference(resolution,[],[f5965,f3439]) ).
fof(f3439,plain,
( ! [X0] :
( sP4(sK16(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_458 ),
inference(avatar_component_clause,[],[f3438]) ).
fof(f5965,plain,
( ~ sP4(sK16(sK13))
| spl35_784 ),
inference(avatar_component_clause,[],[f5963]) ).
fof(f6091,plain,
( spl35_792
| ~ spl35_15
| ~ spl35_676 ),
inference(avatar_split_clause,[],[f4929,f4899,f597,f6088]) ).
fof(f6088,plain,
( spl35_792
<=> k1_xboole_0 = sK17(sK16(sK15(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_792])]) ).
fof(f4899,plain,
( spl35_676
<=> ! [X0] :
( k1_xboole_0 = sK17(sK16(sK15(X0)))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_676])]) ).
fof(f4929,plain,
( k1_xboole_0 = sK17(sK16(sK15(sK32)))
| ~ spl35_15
| ~ spl35_676 ),
inference(resolution,[],[f4900,f599]) ).
fof(f4900,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK16(sK15(X0))) )
| ~ spl35_676 ),
inference(avatar_component_clause,[],[f4899]) ).
fof(f6086,plain,
( spl35_791
| ~ spl35_15
| ~ spl35_675 ),
inference(avatar_split_clause,[],[f4923,f4895,f597,f6083]) ).
fof(f6083,plain,
( spl35_791
<=> k1_xboole_0 = sK17(sK15(sK16(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_791])]) ).
fof(f4895,plain,
( spl35_675
<=> ! [X0] :
( k1_xboole_0 = sK17(sK15(sK16(X0)))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_675])]) ).
fof(f4923,plain,
( k1_xboole_0 = sK17(sK15(sK16(sK32)))
| ~ spl35_15
| ~ spl35_675 ),
inference(resolution,[],[f4896,f599]) ).
fof(f4896,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK15(sK16(X0))) )
| ~ spl35_675 ),
inference(avatar_component_clause,[],[f4895]) ).
fof(f6081,plain,
( spl35_790
| ~ spl35_15
| ~ spl35_674 ),
inference(avatar_split_clause,[],[f4918,f4891,f597,f6078]) ).
fof(f6078,plain,
( spl35_790
<=> k1_xboole_0 = sK17(sK15(sK15(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_790])]) ).
fof(f4891,plain,
( spl35_674
<=> ! [X0] :
( k1_xboole_0 = sK17(sK15(sK15(X0)))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_674])]) ).
fof(f4918,plain,
( k1_xboole_0 = sK17(sK15(sK15(sK32)))
| ~ spl35_15
| ~ spl35_674 ),
inference(resolution,[],[f4892,f599]) ).
fof(f4892,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK15(sK15(X0))) )
| ~ spl35_674 ),
inference(avatar_component_clause,[],[f4891]) ).
fof(f6058,plain,
( spl35_789
| ~ spl35_159
| ~ spl35_124
| ~ spl35_682 ),
inference(avatar_split_clause,[],[f4977,f4960,f1094,f1331,f6055]) ).
fof(f6055,plain,
( spl35_789
<=> k1_xboole_0 = sK23(sK16(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_789])]) ).
fof(f1331,plain,
( spl35_159
<=> v2_pre_topc(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_159])]) ).
fof(f4960,plain,
( spl35_682
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_xboole_0 = sK23(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_682])]) ).
fof(f4977,plain,
( ~ v2_pre_topc(sK13)
| k1_xboole_0 = sK23(sK16(sK13))
| ~ spl35_124
| ~ spl35_682 ),
inference(resolution,[],[f4961,f1096]) ).
fof(f1096,plain,
( l1_pre_topc(sK13)
| ~ spl35_124 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f4961,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_xboole_0 = sK23(sK16(X0)) )
| ~ spl35_682 ),
inference(avatar_component_clause,[],[f4960]) ).
fof(f6035,plain,
( spl35_788
| ~ spl35_2
| ~ spl35_3
| ~ spl35_682 ),
inference(avatar_split_clause,[],[f4976,f4960,f537,f532,f6032]) ).
fof(f6032,plain,
( spl35_788
<=> k1_xboole_0 = sK23(sK16(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_788])]) ).
fof(f532,plain,
( spl35_2
<=> v2_pre_topc(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_2])]) ).
fof(f537,plain,
( spl35_3
<=> l1_pre_topc(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_3])]) ).
fof(f4976,plain,
( ~ v2_pre_topc(sK12)
| k1_xboole_0 = sK23(sK16(sK12))
| ~ spl35_3
| ~ spl35_682 ),
inference(resolution,[],[f4961,f539]) ).
fof(f539,plain,
( l1_pre_topc(sK12)
| ~ spl35_3 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f6001,plain,
( ~ spl35_3
| ~ spl35_458
| spl35_782 ),
inference(avatar_split_clause,[],[f5960,f5948,f3438,f537]) ).
fof(f5948,plain,
( spl35_782
<=> sP4(sK16(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_782])]) ).
fof(f5960,plain,
( ~ l1_pre_topc(sK12)
| ~ spl35_458
| spl35_782 ),
inference(resolution,[],[f5950,f3439]) ).
fof(f5950,plain,
( ~ sP4(sK16(sK12))
| spl35_782 ),
inference(avatar_component_clause,[],[f5948]) ).
fof(f6000,plain,
( spl35_787
| ~ spl35_159
| ~ spl35_124
| ~ spl35_681 ),
inference(avatar_split_clause,[],[f4972,f4956,f1094,f1331,f5997]) ).
fof(f5997,plain,
( spl35_787
<=> k1_xboole_0 = sK23(sK15(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_787])]) ).
fof(f4956,plain,
( spl35_681
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_xboole_0 = sK23(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_681])]) ).
fof(f4972,plain,
( ~ v2_pre_topc(sK13)
| k1_xboole_0 = sK23(sK15(sK13))
| ~ spl35_124
| ~ spl35_681 ),
inference(resolution,[],[f4957,f1096]) ).
fof(f4957,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_xboole_0 = sK23(sK15(X0)) )
| ~ spl35_681 ),
inference(avatar_component_clause,[],[f4956]) ).
fof(f5977,plain,
( spl35_786
| ~ spl35_2
| ~ spl35_3
| ~ spl35_681 ),
inference(avatar_split_clause,[],[f4971,f4956,f537,f532,f5974]) ).
fof(f5974,plain,
( spl35_786
<=> k1_xboole_0 = sK23(sK15(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_786])]) ).
fof(f4971,plain,
( ~ v2_pre_topc(sK12)
| k1_xboole_0 = sK23(sK15(sK12))
| ~ spl35_3
| ~ spl35_681 ),
inference(resolution,[],[f4957,f539]) ).
fof(f5970,plain,
( ~ spl35_784
| spl35_785
| ~ spl35_97
| ~ spl35_617 ),
inference(avatar_split_clause,[],[f4572,f4388,f967,f5967,f5963]) ).
fof(f5967,plain,
( spl35_785
<=> v2_tops_1(k1_xboole_0,sK16(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_785])]) ).
fof(f4388,plain,
( spl35_617
<=> k1_xboole_0 = sK17(sK16(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_617])]) ).
fof(f4572,plain,
( v2_tops_1(k1_xboole_0,sK16(sK13))
| ~ sP4(sK16(sK13))
| ~ spl35_97
| ~ spl35_617 ),
inference(superposition,[],[f968,f4390]) ).
fof(f4390,plain,
( k1_xboole_0 = sK17(sK16(sK13))
| ~ spl35_617 ),
inference(avatar_component_clause,[],[f4388]) ).
fof(f5955,plain,
( ~ spl35_782
| spl35_783
| ~ spl35_97
| ~ spl35_608 ),
inference(avatar_split_clause,[],[f4537,f4349,f967,f5952,f5948]) ).
fof(f5952,plain,
( spl35_783
<=> v2_tops_1(k1_xboole_0,sK16(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_783])]) ).
fof(f4349,plain,
( spl35_608
<=> k1_xboole_0 = sK17(sK16(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_608])]) ).
fof(f4537,plain,
( v2_tops_1(k1_xboole_0,sK16(sK12))
| ~ sP4(sK16(sK12))
| ~ spl35_97
| ~ spl35_608 ),
inference(superposition,[],[f968,f4351]) ).
fof(f4351,plain,
( k1_xboole_0 = sK17(sK16(sK12))
| ~ spl35_608 ),
inference(avatar_component_clause,[],[f4349]) ).
fof(f5946,plain,
( spl35_781
| ~ spl35_661
| ~ spl35_669 ),
inference(avatar_split_clause,[],[f4799,f4787,f4750,f5944]) ).
fof(f5944,plain,
( spl35_781
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| sP10(X0,sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_781])]) ).
fof(f4750,plain,
( spl35_661
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_661])]) ).
fof(f4787,plain,
( spl35_669
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| sP10(X0,sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_669])]) ).
fof(f4799,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| sP10(X0,sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0))))) )
| ~ spl35_661
| ~ spl35_669 ),
inference(duplicate_literal_removal,[],[f4798]) ).
fof(f4798,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| sP10(X0,sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_661
| ~ spl35_669 ),
inference(resolution,[],[f4788,f4751]) ).
fof(f4751,plain,
( ! [X0] :
( v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_661 ),
inference(avatar_component_clause,[],[f4750]) ).
fof(f4788,plain,
( ! [X0] :
( ~ v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| sP10(X0,sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_669 ),
inference(avatar_component_clause,[],[f4787]) ).
fof(f5942,plain,
( spl35_780
| ~ spl35_657
| ~ spl35_665 ),
inference(avatar_split_clause,[],[f4795,f4770,f4734,f5940]) ).
fof(f5940,plain,
( spl35_780
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| sP10(X0,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_780])]) ).
fof(f4734,plain,
( spl35_657
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_657])]) ).
fof(f4770,plain,
( spl35_665
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| sP10(X0,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_665])]) ).
fof(f4795,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| sP10(X0,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))) )
| ~ spl35_657
| ~ spl35_665 ),
inference(duplicate_literal_removal,[],[f4794]) ).
fof(f4794,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| sP10(X0,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_657
| ~ spl35_665 ),
inference(resolution,[],[f4771,f4735]) ).
fof(f4735,plain,
( ! [X0] :
( v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_657 ),
inference(avatar_component_clause,[],[f4734]) ).
fof(f4771,plain,
( ! [X0] :
( ~ v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| sP10(X0,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_665 ),
inference(avatar_component_clause,[],[f4770]) ).
fof(f5938,plain,
( spl35_779
| ~ spl35_569
| ~ spl35_653 ),
inference(avatar_split_clause,[],[f4717,f4705,f4019,f5936]) ).
fof(f5936,plain,
( spl35_779
<=> ! [X0,X3,X2,X1] :
( ~ sP8(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),sK20(X0,X1))
| ~ m2_relset_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_779])]) ).
fof(f4019,plain,
( spl35_569
<=> ! [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,[spl35_569])]) ).
fof(f4705,plain,
( spl35_653
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| ~ sP8(X1,X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_653])]) ).
fof(f4717,plain,
( ! [X2,X3,X0,X1] :
( ~ sP8(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),sK20(X0,X1))
| ~ m2_relset_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
| ~ spl35_569
| ~ spl35_653 ),
inference(resolution,[],[f4706,f4020]) ).
fof(f4020,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl35_569 ),
inference(avatar_component_clause,[],[f4019]) ).
fof(f4706,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ sP8(X1,X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ r2_hidden(X0,sK20(X1,X2)) )
| ~ spl35_653 ),
inference(avatar_component_clause,[],[f4705]) ).
fof(f5934,plain,
( spl35_778
| ~ spl35_569
| ~ spl35_652 ),
inference(avatar_split_clause,[],[f4712,f4701,f4019,f5932]) ).
fof(f5932,plain,
( spl35_778
<=> ! [X0,X3,X2,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),sK19(X0,X1))
| ~ m2_relset_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_778])]) ).
fof(f4701,plain,
( spl35_652
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK19(X1,X2))
| ~ sP7(X1,X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_652])]) ).
fof(f4712,plain,
( ! [X2,X3,X0,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),sK19(X0,X1))
| ~ m2_relset_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
| ~ spl35_569
| ~ spl35_652 ),
inference(resolution,[],[f4702,f4020]) ).
fof(f4702,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ sP7(X1,X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ r2_hidden(X0,sK19(X1,X2)) )
| ~ spl35_652 ),
inference(avatar_component_clause,[],[f4701]) ).
fof(f5909,plain,
( spl35_777
| ~ spl35_605
| ~ spl35_635 ),
inference(avatar_split_clause,[],[f4605,f4588,f4311,f5907]) ).
fof(f5907,plain,
( spl35_777
<=> ! [X0] :
( m1_subset_1(sK27(sK27(k1_zfmisc_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| v1_xboole_0(sK27(k1_zfmisc_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_777])]) ).
fof(f4311,plain,
( spl35_605
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK27(sK27(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_605])]) ).
fof(f4588,plain,
( spl35_635
<=> ! [X0,X1] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_635])]) ).
fof(f4605,plain,
( ! [X0] :
( m1_subset_1(sK27(sK27(k1_zfmisc_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| v1_xboole_0(sK27(k1_zfmisc_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))))) )
| ~ spl35_605
| ~ spl35_635 ),
inference(resolution,[],[f4589,f4312]) ).
fof(f4312,plain,
( ! [X0] :
( r2_hidden(sK27(sK27(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_605 ),
inference(avatar_component_clause,[],[f4311]) ).
fof(f4589,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| m1_subset_1(X1,X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))) )
| ~ spl35_635 ),
inference(avatar_component_clause,[],[f4588]) ).
fof(f5884,plain,
( spl35_776
| ~ spl35_605
| ~ spl35_641 ),
inference(avatar_split_clause,[],[f4656,f4631,f4311,f5882]) ).
fof(f5882,plain,
( spl35_776
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK27(sK14(k1_zfmisc_1(X0)))))),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(k1_zfmisc_1(sK27(sK14(k1_zfmisc_1(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_776])]) ).
fof(f4631,plain,
( spl35_641
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_641])]) ).
fof(f4656,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK27(sK14(k1_zfmisc_1(X0)))))),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(k1_zfmisc_1(sK27(sK14(k1_zfmisc_1(X0)))))) )
| ~ spl35_605
| ~ spl35_641 ),
inference(resolution,[],[f4632,f4312]) ).
fof(f4632,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK27(sK14(k1_zfmisc_1(X0))))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl35_641 ),
inference(avatar_component_clause,[],[f4631]) ).
fof(f5839,plain,
( spl35_775
| ~ spl35_599
| ~ spl35_635 ),
inference(avatar_split_clause,[],[f4604,f4588,f4218,f5837]) ).
fof(f5837,plain,
( spl35_775
<=> ! [X0] :
( m1_subset_1(sK27(sK14(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK14(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_775])]) ).
fof(f4218,plain,
( spl35_599
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK14(X0))
| r2_hidden(sK27(sK14(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_599])]) ).
fof(f4604,plain,
( ! [X0] :
( m1_subset_1(sK27(sK14(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK14(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_599
| ~ spl35_635 ),
inference(resolution,[],[f4589,f4219]) ).
fof(f4219,plain,
( ! [X0] :
( r2_hidden(sK27(sK14(X0)),X0)
| v1_xboole_0(sK14(X0))
| v1_xboole_0(X0) )
| ~ spl35_599 ),
inference(avatar_component_clause,[],[f4218]) ).
fof(f5814,plain,
( spl35_774
| ~ spl35_599
| ~ spl35_641 ),
inference(avatar_split_clause,[],[f4655,f4631,f4218,f5812]) ).
fof(f5812,plain,
( spl35_774
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK14(sK27(sK14(k1_zfmisc_1(X0))))),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(sK27(sK14(k1_zfmisc_1(X0)))))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_774])]) ).
fof(f4655,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK14(sK27(sK14(k1_zfmisc_1(X0))))),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(sK27(sK14(k1_zfmisc_1(X0)))))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_599
| ~ spl35_641 ),
inference(resolution,[],[f4632,f4219]) ).
fof(f5808,plain,
( spl35_773
| ~ spl35_507
| ~ spl35_653 ),
inference(avatar_split_clause,[],[f4716,f4705,f3685,f5806]) ).
fof(f5806,plain,
( spl35_773
<=> ! [X2,X0,X1] :
( ~ sP8(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(X2),sK20(X0,X1))
| ~ r1_tarski(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2)
| v1_xboole_0(k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_773])]) ).
fof(f3685,plain,
( spl35_507
<=> ! [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,[spl35_507])]) ).
fof(f4716,plain,
( ! [X2,X0,X1] :
( ~ sP8(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(X2),sK20(X0,X1))
| ~ r1_tarski(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2)
| v1_xboole_0(k1_zfmisc_1(X2)) )
| ~ spl35_507
| ~ spl35_653 ),
inference(resolution,[],[f4706,f3686]) ).
fof(f3686,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl35_507 ),
inference(avatar_component_clause,[],[f3685]) ).
fof(f5804,plain,
( spl35_772
| ~ spl35_507
| ~ spl35_652 ),
inference(avatar_split_clause,[],[f4711,f4701,f3685,f5802]) ).
fof(f5802,plain,
( spl35_772
<=> ! [X2,X0,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(X2),sK19(X0,X1))
| ~ r1_tarski(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2)
| v1_xboole_0(k1_zfmisc_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_772])]) ).
fof(f4711,plain,
( ! [X2,X0,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(k1_zfmisc_1(X2),sK19(X0,X1))
| ~ r1_tarski(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2)
| v1_xboole_0(k1_zfmisc_1(X2)) )
| ~ spl35_507
| ~ spl35_652 ),
inference(resolution,[],[f4702,f3686]) ).
fof(f5778,plain,
( spl35_771
| ~ spl35_409
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4332,f4311,f3122,f5776]) ).
fof(f5776,plain,
( spl35_771
<=> ! [X0] :
( v1_xboole_0(sK22(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK22(X0))))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK22(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_771])]) ).
fof(f3122,plain,
( spl35_409
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK22(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_409])]) ).
fof(f4332,plain,
( ! [X0] :
( v1_xboole_0(sK22(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK22(X0))))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK22(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_409
| ~ spl35_605 ),
inference(resolution,[],[f4312,f3123]) ).
fof(f3123,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK22(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_409 ),
inference(avatar_component_clause,[],[f3122]) ).
fof(f5774,plain,
( spl35_770
| ~ spl35_408
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4330,f4311,f3118,f5772]) ).
fof(f5772,plain,
( spl35_770
<=> ! [X0] :
( v1_xboole_0(sK21(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK21(X0))))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK21(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_770])]) ).
fof(f3118,plain,
( spl35_408
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_408])]) ).
fof(f4330,plain,
( ! [X0] :
( v1_xboole_0(sK21(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK21(X0))))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK21(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_408
| ~ spl35_605 ),
inference(resolution,[],[f4312,f3119]) ).
fof(f3119,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK21(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_408 ),
inference(avatar_component_clause,[],[f3118]) ).
fof(f5762,plain,
( spl35_769
| ~ spl35_107
| ~ spl35_653 ),
inference(avatar_split_clause,[],[f4715,f4705,f1012,f5760]) ).
fof(f5760,plain,
( spl35_769
<=> ! [X2,X0,X1] :
( ~ sP8(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(X2,sK20(X0,X1))
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_769])]) ).
fof(f1012,plain,
( spl35_107
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_107])]) ).
fof(f4715,plain,
( ! [X2,X0,X1] :
( ~ sP8(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(X2,sK20(X0,X1))
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2) )
| ~ spl35_107
| ~ spl35_653 ),
inference(resolution,[],[f4706,f1013]) ).
fof(f1013,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl35_107 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f5758,plain,
( spl35_768
| ~ spl35_107
| ~ spl35_652 ),
inference(avatar_split_clause,[],[f4710,f4701,f1012,f5756]) ).
fof(f5756,plain,
( spl35_768
<=> ! [X2,X0,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(X2,sK19(X0,X1))
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_768])]) ).
fof(f4710,plain,
( ! [X2,X0,X1] :
( ~ sP7(X0,X1)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ r2_hidden(X2,sK19(X0,X1))
| ~ r2_hidden(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)),X2) )
| ~ spl35_107
| ~ spl35_652 ),
inference(resolution,[],[f4702,f1013]) ).
fof(f5726,plain,
( spl35_767
| ~ spl35_513
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4346,f4311,f3714,f5724]) ).
fof(f5724,plain,
( spl35_767
<=> ! [X0,X1] :
( v1_xboole_0(sK30(X0,X1))
| v1_xboole_0(sK27(k1_zfmisc_1(sK30(X0,X1))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK30(X0,X1)))),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_767])]) ).
fof(f3714,plain,
( spl35_513
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK30(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_513])]) ).
fof(f4346,plain,
( ! [X0,X1] :
( v1_xboole_0(sK30(X0,X1))
| v1_xboole_0(sK27(k1_zfmisc_1(sK30(X0,X1))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK30(X0,X1)))),k2_zfmisc_1(X0,X1)) )
| ~ spl35_513
| ~ spl35_605 ),
inference(resolution,[],[f4312,f3715]) ).
fof(f3715,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK30(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl35_513 ),
inference(avatar_component_clause,[],[f3714]) ).
fof(f5722,plain,
( spl35_766
| ~ spl35_512
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4344,f4311,f3710,f5720]) ).
fof(f5720,plain,
( spl35_766
<=> ! [X0,X1] :
( v1_xboole_0(sK29(X0,X1))
| v1_xboole_0(sK27(k1_zfmisc_1(sK29(X0,X1))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK29(X0,X1)))),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_766])]) ).
fof(f3710,plain,
( spl35_512
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK29(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_512])]) ).
fof(f4344,plain,
( ! [X0,X1] :
( v1_xboole_0(sK29(X0,X1))
| v1_xboole_0(sK27(k1_zfmisc_1(sK29(X0,X1))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK29(X0,X1)))),k2_zfmisc_1(X0,X1)) )
| ~ spl35_512
| ~ spl35_605 ),
inference(resolution,[],[f4312,f3711]) ).
fof(f3711,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK29(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl35_512 ),
inference(avatar_component_clause,[],[f3710]) ).
fof(f5718,plain,
( spl35_765
| ~ spl35_361
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4340,f4311,f2882,f5716]) ).
fof(f5716,plain,
( spl35_765
<=> ! [X0] :
( v1_xboole_0(sK26(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK26(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK26(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_765])]) ).
fof(f2882,plain,
( spl35_361
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK26(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_361])]) ).
fof(f4340,plain,
( ! [X0] :
( v1_xboole_0(sK26(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK26(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK26(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_361
| ~ spl35_605 ),
inference(resolution,[],[f4312,f2883]) ).
fof(f2883,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK26(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) )
| ~ spl35_361 ),
inference(avatar_component_clause,[],[f2882]) ).
fof(f5714,plain,
( spl35_764
| ~ spl35_360
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4338,f4311,f2878,f5712]) ).
fof(f5712,plain,
( spl35_764
<=> ! [X0] :
( v1_xboole_0(sK25(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK25(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK25(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_764])]) ).
fof(f2878,plain,
( spl35_360
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK25(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_360])]) ).
fof(f4338,plain,
( ! [X0] :
( v1_xboole_0(sK25(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK25(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK25(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_360
| ~ spl35_605 ),
inference(resolution,[],[f4312,f2879]) ).
fof(f2879,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK25(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) )
| ~ spl35_360 ),
inference(avatar_component_clause,[],[f2878]) ).
fof(f5710,plain,
( spl35_763
| ~ spl35_359
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4336,f4311,f2874,f5708]) ).
fof(f5708,plain,
( spl35_763
<=> ! [X0] :
( v1_xboole_0(sK24(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK24(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK24(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_763])]) ).
fof(f2874,plain,
( spl35_359
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK24(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_359])]) ).
fof(f4336,plain,
( ! [X0] :
( v1_xboole_0(sK24(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK24(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK24(X0)))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_359
| ~ spl35_605 ),
inference(resolution,[],[f4312,f2875]) ).
fof(f2875,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK24(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) )
| ~ spl35_359 ),
inference(avatar_component_clause,[],[f2874]) ).
fof(f5706,plain,
( spl35_762
| ~ spl35_358
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4329,f4311,f2870,f5704]) ).
fof(f5704,plain,
( spl35_762
<=> ! [X0] :
( v1_xboole_0(sK18(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK18(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK18(X0)))),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_762])]) ).
fof(f2870,plain,
( spl35_358
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK18(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_358])]) ).
fof(f4329,plain,
( ! [X0] :
( v1_xboole_0(sK18(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK18(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK18(X0)))),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl35_358
| ~ spl35_605 ),
inference(resolution,[],[f4312,f2871]) ).
fof(f2871,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK18(X1))
| m1_subset_1(X0,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl35_358 ),
inference(avatar_component_clause,[],[f2870]) ).
fof(f5682,plain,
( spl35_761
| ~ spl35_409
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4235,f4218,f3122,f5680]) ).
fof(f5680,plain,
( spl35_761
<=> ! [X0] :
( v1_xboole_0(sK14(sK22(X0)))
| v1_xboole_0(sK22(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK14(sK22(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_761])]) ).
fof(f4235,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK22(X0)))
| v1_xboole_0(sK22(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK14(sK22(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_409
| ~ spl35_599 ),
inference(resolution,[],[f4219,f3123]) ).
fof(f5678,plain,
( spl35_760
| ~ spl35_408
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4233,f4218,f3118,f5676]) ).
fof(f5676,plain,
( spl35_760
<=> ! [X0] :
( v1_xboole_0(sK14(sK21(X0)))
| v1_xboole_0(sK21(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK14(sK21(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_760])]) ).
fof(f4233,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK21(X0)))
| v1_xboole_0(sK21(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK14(sK21(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_408
| ~ spl35_599 ),
inference(resolution,[],[f4219,f3119]) ).
fof(f5632,plain,
( spl35_759
| ~ spl35_26
| ~ spl35_651 ),
inference(avatar_split_clause,[],[f4699,f4696,f650,f5630]) ).
fof(f5630,plain,
( spl35_759
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_759])]) ).
fof(f650,plain,
( spl35_26
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_26])]) ).
fof(f4696,plain,
( spl35_651
<=> ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_651])]) ).
fof(f4699,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))),X0,X1) )
| ~ spl35_26
| ~ spl35_651 ),
inference(resolution,[],[f4697,f651]) ).
fof(f651,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl35_26 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f4697,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) )
| ~ spl35_651 ),
inference(avatar_component_clause,[],[f4696]) ).
fof(f5628,plain,
( spl35_758
| ~ spl35_227
| ~ spl35_641 ),
inference(avatar_split_clause,[],[f4654,f4631,f2135,f5626]) ).
fof(f5626,plain,
( spl35_758
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK27(sK14(k1_zfmisc_1(X0)))),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_758])]) ).
fof(f2135,plain,
( spl35_227
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK27(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_227])]) ).
fof(f4654,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK27(sK14(k1_zfmisc_1(X0)))),X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_227
| ~ spl35_641 ),
inference(resolution,[],[f4632,f2136]) ).
fof(f2136,plain,
( ! [X0] :
( r2_hidden(sK27(X0),X0)
| v1_xboole_0(X0) )
| ~ spl35_227 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f5624,plain,
( spl35_757
| ~ spl35_227
| ~ spl35_635 ),
inference(avatar_split_clause,[],[f4603,f4588,f2135,f5622]) ).
fof(f5622,plain,
( spl35_757
<=> ! [X0] :
( m1_subset_1(sK27(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_757])]) ).
fof(f4603,plain,
( ! [X0] :
( m1_subset_1(sK27(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_227
| ~ spl35_635 ),
inference(resolution,[],[f4589,f2136]) ).
fof(f5572,plain,
( spl35_756
| ~ spl35_107
| ~ spl35_650 ),
inference(avatar_split_clause,[],[f4693,f4685,f1012,f5570]) ).
fof(f5570,plain,
( spl35_756
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK22(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_756])]) ).
fof(f4685,plain,
( spl35_650
<=> ! [X0] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK22(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_650])]) ).
fof(f4693,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK22(X0))) )
| ~ spl35_107
| ~ spl35_650 ),
inference(resolution,[],[f4686,f1013]) ).
fof(f4686,plain,
( ! [X0] :
( r2_hidden(sK27(sK22(X0)),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) )
| ~ spl35_650 ),
inference(avatar_component_clause,[],[f4685]) ).
fof(f5568,plain,
( spl35_755
| ~ spl35_107
| ~ spl35_649 ),
inference(avatar_split_clause,[],[f4690,f4681,f1012,f5566]) ).
fof(f5566,plain,
( spl35_755
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK21(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_755])]) ).
fof(f4681,plain,
( spl35_649
<=> ! [X0] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK21(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_649])]) ).
fof(f4690,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK21(X0))) )
| ~ spl35_107
| ~ spl35_649 ),
inference(resolution,[],[f4682,f1013]) ).
fof(f4682,plain,
( ! [X0] :
( r2_hidden(sK27(sK21(X0)),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0))
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0) )
| ~ spl35_649 ),
inference(avatar_component_clause,[],[f4681]) ).
fof(f5564,plain,
( spl35_754
| ~ spl35_265
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4342,f4311,f2392,f5562]) ).
fof(f5562,plain,
( spl35_754
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| v1_xboole_0(sK27(k1_zfmisc_1(sK27(k1_zfmisc_1(X0)))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK27(k1_zfmisc_1(X0))))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_754])]) ).
fof(f2392,plain,
( spl35_265
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK27(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_265])]) ).
fof(f4342,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| v1_xboole_0(sK27(k1_zfmisc_1(sK27(k1_zfmisc_1(X0)))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK27(k1_zfmisc_1(X0))))),X0) )
| ~ spl35_265
| ~ spl35_605 ),
inference(resolution,[],[f4312,f2393]) ).
fof(f2393,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK27(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl35_265 ),
inference(avatar_component_clause,[],[f2392]) ).
fof(f5540,plain,
( spl35_753
| ~ spl35_513
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4249,f4218,f3714,f5538]) ).
fof(f5538,plain,
( spl35_753
<=> ! [X0,X1] :
( v1_xboole_0(sK14(sK30(X0,X1)))
| v1_xboole_0(sK30(X0,X1))
| m1_subset_1(sK27(sK14(sK30(X0,X1))),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_753])]) ).
fof(f4249,plain,
( ! [X0,X1] :
( v1_xboole_0(sK14(sK30(X0,X1)))
| v1_xboole_0(sK30(X0,X1))
| m1_subset_1(sK27(sK14(sK30(X0,X1))),k2_zfmisc_1(X0,X1)) )
| ~ spl35_513
| ~ spl35_599 ),
inference(resolution,[],[f4219,f3715]) ).
fof(f5536,plain,
( spl35_752
| ~ spl35_512
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4247,f4218,f3710,f5534]) ).
fof(f5534,plain,
( spl35_752
<=> ! [X0,X1] :
( v1_xboole_0(sK14(sK29(X0,X1)))
| v1_xboole_0(sK29(X0,X1))
| m1_subset_1(sK27(sK14(sK29(X0,X1))),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_752])]) ).
fof(f4247,plain,
( ! [X0,X1] :
( v1_xboole_0(sK14(sK29(X0,X1)))
| v1_xboole_0(sK29(X0,X1))
| m1_subset_1(sK27(sK14(sK29(X0,X1))),k2_zfmisc_1(X0,X1)) )
| ~ spl35_512
| ~ spl35_599 ),
inference(resolution,[],[f4219,f3711]) ).
fof(f5532,plain,
( spl35_751
| ~ spl35_361
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4243,f4218,f2882,f5530]) ).
fof(f5530,plain,
( spl35_751
<=> ! [X0] :
( v1_xboole_0(sK14(sK26(X0)))
| v1_xboole_0(sK26(X0))
| m1_subset_1(sK27(sK14(sK26(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_751])]) ).
fof(f4243,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK26(X0)))
| v1_xboole_0(sK26(X0))
| m1_subset_1(sK27(sK14(sK26(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_361
| ~ spl35_599 ),
inference(resolution,[],[f4219,f2883]) ).
fof(f5528,plain,
( spl35_750
| ~ spl35_360
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4241,f4218,f2878,f5526]) ).
fof(f5526,plain,
( spl35_750
<=> ! [X0] :
( v1_xboole_0(sK14(sK25(X0)))
| v1_xboole_0(sK25(X0))
| m1_subset_1(sK27(sK14(sK25(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_750])]) ).
fof(f4241,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK25(X0)))
| v1_xboole_0(sK25(X0))
| m1_subset_1(sK27(sK14(sK25(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_360
| ~ spl35_599 ),
inference(resolution,[],[f4219,f2879]) ).
fof(f5524,plain,
( spl35_749
| ~ spl35_359
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4239,f4218,f2874,f5522]) ).
fof(f5522,plain,
( spl35_749
<=> ! [X0] :
( v1_xboole_0(sK14(sK24(X0)))
| v1_xboole_0(sK24(X0))
| m1_subset_1(sK27(sK14(sK24(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_749])]) ).
fof(f4239,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK24(X0)))
| v1_xboole_0(sK24(X0))
| m1_subset_1(sK27(sK14(sK24(X0))),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_359
| ~ spl35_599 ),
inference(resolution,[],[f4219,f2875]) ).
fof(f5520,plain,
( spl35_748
| ~ spl35_358
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4232,f4218,f2870,f5518]) ).
fof(f5518,plain,
( spl35_748
<=> ! [X0] :
( v1_xboole_0(sK14(sK18(X0)))
| v1_xboole_0(sK18(X0))
| m1_subset_1(sK27(sK14(sK18(X0))),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_748])]) ).
fof(f4232,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK18(X0)))
| v1_xboole_0(sK18(X0))
| m1_subset_1(sK27(sK14(sK18(X0))),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl35_358
| ~ spl35_599 ),
inference(resolution,[],[f4219,f2871]) ).
fof(f5494,plain,
( spl35_747
| ~ spl35_269
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4326,f4311,f2432,f5492]) ).
fof(f5492,plain,
( spl35_747
<=> ! [X0] :
( v1_xboole_0(sK14(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK14(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK14(X0)))),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_747])]) ).
fof(f2432,plain,
( spl35_269
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK14(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_269])]) ).
fof(f4326,plain,
( ! [X0] :
( v1_xboole_0(sK14(X0))
| v1_xboole_0(sK27(k1_zfmisc_1(sK14(X0))))
| m1_subset_1(sK27(sK27(k1_zfmisc_1(sK14(X0)))),X0)
| v1_xboole_0(X0) )
| ~ spl35_269
| ~ spl35_605 ),
inference(resolution,[],[f4312,f2433]) ).
fof(f2433,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK14(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl35_269 ),
inference(avatar_component_clause,[],[f2432]) ).
fof(f5442,plain,
( spl35_746
| ~ spl35_107
| ~ spl35_645 ),
inference(avatar_split_clause,[],[f4669,f4647,f1012,f5440]) ).
fof(f5440,plain,
( spl35_746
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK26(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_746])]) ).
fof(f4647,plain,
( spl35_645
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK26(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_645])]) ).
fof(f4669,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK26(X0))) )
| ~ spl35_107
| ~ spl35_645 ),
inference(resolution,[],[f4648,f1013]) ).
fof(f4648,plain,
( ! [X0] :
( r2_hidden(sK27(sK26(X0)),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_645 ),
inference(avatar_component_clause,[],[f4647]) ).
fof(f5438,plain,
( spl35_745
| ~ spl35_107
| ~ spl35_644 ),
inference(avatar_split_clause,[],[f4665,f4643,f1012,f5436]) ).
fof(f5436,plain,
( spl35_745
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK25(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_745])]) ).
fof(f4643,plain,
( spl35_644
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK25(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_644])]) ).
fof(f4665,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK25(X0))) )
| ~ spl35_107
| ~ spl35_644 ),
inference(resolution,[],[f4644,f1013]) ).
fof(f4644,plain,
( ! [X0] :
( r2_hidden(sK27(sK25(X0)),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_644 ),
inference(avatar_component_clause,[],[f4643]) ).
fof(f5434,plain,
( spl35_744
| ~ spl35_107
| ~ spl35_643 ),
inference(avatar_split_clause,[],[f4662,f4639,f1012,f5432]) ).
fof(f5432,plain,
( spl35_744
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK24(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_744])]) ).
fof(f4639,plain,
( spl35_643
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK24(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_643])]) ).
fof(f4662,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK24(X0))) )
| ~ spl35_107
| ~ spl35_643 ),
inference(resolution,[],[f4640,f1013]) ).
fof(f4640,plain,
( ! [X0] :
( r2_hidden(sK27(sK24(X0)),u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_643 ),
inference(avatar_component_clause,[],[f4639]) ).
fof(f5430,plain,
( spl35_743
| ~ spl35_107
| ~ spl35_642 ),
inference(avatar_split_clause,[],[f4659,f4635,f1012,f5428]) ).
fof(f5428,plain,
( spl35_743
<=> ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(sK18(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK18(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_743])]) ).
fof(f4635,plain,
( spl35_642
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK18(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK18(X0)),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_642])]) ).
fof(f4659,plain,
( ! [X0] :
( v3_struct_0(X0)
| v1_xboole_0(sK18(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| ~ r2_hidden(u1_struct_0(X0),sK27(sK18(X0))) )
| ~ spl35_107
| ~ spl35_642 ),
inference(resolution,[],[f4636,f1013]) ).
fof(f4636,plain,
( ! [X0] :
( r2_hidden(sK27(sK18(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| v1_xboole_0(sK18(X0))
| v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0) )
| ~ spl35_642 ),
inference(avatar_component_clause,[],[f4635]) ).
fof(f5426,plain,
( spl35_742
| ~ spl35_143
| ~ spl35_607 ),
inference(avatar_split_clause,[],[f4354,f4319,f1174,f5424]) ).
fof(f5424,plain,
( spl35_742
<=> ! [X0,X1] :
( v1_xboole_0(sK30(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| r2_hidden(sK27(sK30(X0,X1)),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_742])]) ).
fof(f1174,plain,
( spl35_143
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_143])]) ).
fof(f4319,plain,
( spl35_607
<=> ! [X0,X1] :
( m1_subset_1(sK27(sK30(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_607])]) ).
fof(f4354,plain,
( ! [X0,X1] :
( v1_xboole_0(sK30(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| r2_hidden(sK27(sK30(X0,X1)),k2_zfmisc_1(X0,X1)) )
| ~ spl35_143
| ~ spl35_607 ),
inference(resolution,[],[f4320,f1175]) ).
fof(f1175,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl35_143 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f4320,plain,
( ! [X0,X1] :
( m1_subset_1(sK27(sK30(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK30(X0,X1)) )
| ~ spl35_607 ),
inference(avatar_component_clause,[],[f4319]) ).
fof(f5402,plain,
( spl35_741
| ~ spl35_143
| ~ spl35_606 ),
inference(avatar_split_clause,[],[f4353,f4315,f1174,f5400]) ).
fof(f5400,plain,
( spl35_741
<=> ! [X0,X1] :
( v1_xboole_0(sK29(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| r2_hidden(sK27(sK29(X0,X1)),k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_741])]) ).
fof(f4315,plain,
( spl35_606
<=> ! [X0,X1] :
( m1_subset_1(sK27(sK29(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK29(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_606])]) ).
fof(f4353,plain,
( ! [X0,X1] :
( v1_xboole_0(sK29(X0,X1))
| v1_xboole_0(k2_zfmisc_1(X0,X1))
| r2_hidden(sK27(sK29(X0,X1)),k2_zfmisc_1(X0,X1)) )
| ~ spl35_143
| ~ spl35_606 ),
inference(resolution,[],[f4316,f1175]) ).
fof(f4316,plain,
( ! [X0,X1] :
( m1_subset_1(sK27(sK29(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK29(X0,X1)) )
| ~ spl35_606 ),
inference(avatar_component_clause,[],[f4315]) ).
fof(f5398,plain,
( spl35_740
| ~ spl35_265
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4245,f4218,f2392,f5396]) ).
fof(f5396,plain,
( spl35_740
<=> ! [X0] :
( v1_xboole_0(sK14(sK27(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK14(sK27(k1_zfmisc_1(X0)))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_740])]) ).
fof(f4245,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK27(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| m1_subset_1(sK27(sK14(sK27(k1_zfmisc_1(X0)))),X0) )
| ~ spl35_265
| ~ spl35_599 ),
inference(resolution,[],[f4219,f2393]) ).
fof(f5372,plain,
( spl35_739
| ~ spl35_269
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4229,f4218,f2432,f5370]) ).
fof(f5370,plain,
( spl35_739
<=> ! [X0] :
( v1_xboole_0(sK14(sK14(X0)))
| v1_xboole_0(sK14(X0))
| m1_subset_1(sK27(sK14(sK14(X0))),X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_739])]) ).
fof(f4229,plain,
( ! [X0] :
( v1_xboole_0(sK14(sK14(X0)))
| v1_xboole_0(sK14(X0))
| m1_subset_1(sK27(sK14(sK14(X0))),X0)
| v1_xboole_0(X0) )
| ~ spl35_269
| ~ spl35_599 ),
inference(resolution,[],[f4219,f2433]) ).
fof(f5350,plain,
( spl35_738
| ~ spl35_124
| ~ spl35_677 ),
inference(avatar_split_clause,[],[f4931,f4903,f1094,f5347]) ).
fof(f5347,plain,
( spl35_738
<=> k1_xboole_0 = sK17(sK16(sK16(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_738])]) ).
fof(f4931,plain,
( k1_xboole_0 = sK17(sK16(sK16(sK13)))
| ~ spl35_124
| ~ spl35_677 ),
inference(resolution,[],[f4904,f1096]) ).
fof(f5337,plain,
( spl35_737
| ~ spl35_84
| ~ spl35_638 ),
inference(avatar_split_clause,[],[f4616,f4600,f899,f5335]) ).
fof(f5335,plain,
( spl35_737
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v5_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_737])]) ).
fof(f899,plain,
( spl35_84
<=> ! [X0,X1] :
( v5_membered(X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_84])]) ).
fof(f4600,plain,
( spl35_638
<=> ! [X0] :
( sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_638])]) ).
fof(f4616,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v5_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_84
| ~ spl35_638 ),
inference(resolution,[],[f4601,f900]) ).
fof(f900,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| v5_membered(X1) )
| ~ spl35_84 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f4601,plain,
( ! [X0] :
( sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_638 ),
inference(avatar_component_clause,[],[f4600]) ).
fof(f5333,plain,
( spl35_736
| ~ spl35_83
| ~ spl35_638 ),
inference(avatar_split_clause,[],[f4615,f4600,f895,f5331]) ).
fof(f5331,plain,
( spl35_736
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v4_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_736])]) ).
fof(f895,plain,
( spl35_83
<=> ! [X0,X1] :
( v4_membered(X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_83])]) ).
fof(f4615,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v4_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_83
| ~ spl35_638 ),
inference(resolution,[],[f4601,f896]) ).
fof(f896,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| v4_membered(X1) )
| ~ spl35_83 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f5329,plain,
( spl35_735
| ~ spl35_82
| ~ spl35_638 ),
inference(avatar_split_clause,[],[f4614,f4600,f891,f5327]) ).
fof(f5327,plain,
( spl35_735
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v3_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_735])]) ).
fof(f891,plain,
( spl35_82
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_82])]) ).
fof(f4614,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v3_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_82
| ~ spl35_638 ),
inference(resolution,[],[f4601,f892]) ).
fof(f892,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| v3_membered(X1) )
| ~ spl35_82 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f5325,plain,
( spl35_734
| ~ spl35_81
| ~ spl35_638 ),
inference(avatar_split_clause,[],[f4613,f4600,f887,f5323]) ).
fof(f5323,plain,
( spl35_734
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v2_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_734])]) ).
fof(f887,plain,
( spl35_81
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_81])]) ).
fof(f4613,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v2_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_81
| ~ spl35_638 ),
inference(resolution,[],[f4601,f888]) ).
fof(f888,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| v2_membered(X1) )
| ~ spl35_81 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f5321,plain,
( spl35_733
| ~ spl35_80
| ~ spl35_638 ),
inference(avatar_split_clause,[],[f4612,f4600,f883,f5319]) ).
fof(f5319,plain,
( spl35_733
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v1_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_733])]) ).
fof(f883,plain,
( spl35_80
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_80])]) ).
fof(f4612,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v1_membered(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_80
| ~ spl35_638 ),
inference(resolution,[],[f4601,f884]) ).
fof(f884,plain,
( ! [X0,X1] :
( ~ sP10(X0,X1)
| v1_membered(X1) )
| ~ spl35_80 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f5317,plain,
( spl35_732
| ~ spl35_3
| ~ spl35_677 ),
inference(avatar_split_clause,[],[f4930,f4903,f537,f5314]) ).
fof(f5314,plain,
( spl35_732
<=> k1_xboole_0 = sK17(sK16(sK16(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_732])]) ).
fof(f4930,plain,
( k1_xboole_0 = sK17(sK16(sK16(sK12)))
| ~ spl35_3
| ~ spl35_677 ),
inference(resolution,[],[f4904,f539]) ).
fof(f5312,plain,
( spl35_731
| ~ spl35_227
| ~ spl35_636 ),
inference(avatar_split_clause,[],[f4606,f4592,f2135,f5310]) ).
fof(f5310,plain,
( spl35_731
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_731])]) ).
fof(f4592,plain,
( spl35_636
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_636])]) ).
fof(f4606,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_227
| ~ spl35_636 ),
inference(resolution,[],[f4593,f2136]) ).
fof(f4593,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK27(sK14(k1_zfmisc_1(X0))))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl35_636 ),
inference(avatar_component_clause,[],[f4592]) ).
fof(f5308,plain,
( spl35_730
| ~ spl35_53
| ~ spl35_623 ),
inference(avatar_split_clause,[],[f4555,f4461,f758,f5306]) ).
fof(f5306,plain,
( spl35_730
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v1_membered(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_730])]) ).
fof(f758,plain,
( spl35_53
<=> ! [X0] :
( v1_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_53])]) ).
fof(f4461,plain,
( spl35_623
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| sP5(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_623])]) ).
fof(f4555,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v1_membered(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_53
| ~ spl35_623 ),
inference(resolution,[],[f4462,f759]) ).
fof(f759,plain,
( ! [X0] :
( ~ sP5(X0)
| v1_membered(X0) )
| ~ spl35_53 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f4462,plain,
( ! [X0] :
( sP5(sK27(sK14(k1_zfmisc_1(X0))))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0) )
| ~ spl35_623 ),
inference(avatar_component_clause,[],[f4461]) ).
fof(f5304,plain,
( spl35_729
| ~ spl35_54
| ~ spl35_623 ),
inference(avatar_split_clause,[],[f4554,f4461,f762,f5302]) ).
fof(f5302,plain,
( spl35_729
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v2_membered(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_729])]) ).
fof(f762,plain,
( spl35_54
<=> ! [X0] :
( v2_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_54])]) ).
fof(f4554,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v2_membered(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_54
| ~ spl35_623 ),
inference(resolution,[],[f4462,f763]) ).
fof(f763,plain,
( ! [X0] :
( ~ sP5(X0)
| v2_membered(X0) )
| ~ spl35_54 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f5300,plain,
( spl35_728
| ~ spl35_55
| ~ spl35_623 ),
inference(avatar_split_clause,[],[f4553,f4461,f766,f5298]) ).
fof(f5298,plain,
( spl35_728
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v3_membered(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_728])]) ).
fof(f766,plain,
( spl35_55
<=> ! [X0] :
( v3_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_55])]) ).
fof(f4553,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v3_membered(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_55
| ~ spl35_623 ),
inference(resolution,[],[f4462,f767]) ).
fof(f767,plain,
( ! [X0] :
( ~ sP5(X0)
| v3_membered(X0) )
| ~ spl35_55 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f5296,plain,
( spl35_727
| ~ spl35_56
| ~ spl35_623 ),
inference(avatar_split_clause,[],[f4552,f4461,f770,f5294]) ).
fof(f5294,plain,
( spl35_727
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v4_membered(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_727])]) ).
fof(f770,plain,
( spl35_56
<=> ! [X0] :
( v4_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_56])]) ).
fof(f4552,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v4_membered(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_56
| ~ spl35_623 ),
inference(resolution,[],[f4462,f771]) ).
fof(f771,plain,
( ! [X0] :
( ~ sP5(X0)
| v4_membered(X0) )
| ~ spl35_56 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f5292,plain,
( spl35_726
| ~ spl35_57
| ~ spl35_623 ),
inference(avatar_split_clause,[],[f4551,f4461,f774,f5290]) ).
fof(f5290,plain,
( spl35_726
<=> ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v5_membered(sK27(sK14(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_726])]) ).
fof(f774,plain,
( spl35_57
<=> ! [X0] :
( v5_membered(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_57])]) ).
fof(f4551,plain,
( ! [X0] :
( v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ v5_membered(X0)
| v5_membered(sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_57
| ~ spl35_623 ),
inference(resolution,[],[f4462,f775]) ).
fof(f775,plain,
( ! [X0] :
( ~ sP5(X0)
| v5_membered(X0) )
| ~ spl35_57 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f5272,plain,
( spl35_725
| ~ spl35_124
| ~ spl35_676 ),
inference(avatar_split_clause,[],[f4926,f4899,f1094,f5269]) ).
fof(f5269,plain,
( spl35_725
<=> k1_xboole_0 = sK17(sK16(sK15(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_725])]) ).
fof(f4926,plain,
( k1_xboole_0 = sK17(sK16(sK15(sK13)))
| ~ spl35_124
| ~ spl35_676 ),
inference(resolution,[],[f4900,f1096]) ).
fof(f5262,plain,
( spl35_724
| ~ spl35_227
| ~ spl35_622 ),
inference(avatar_split_clause,[],[f4528,f4457,f2135,f5260]) ).
fof(f5260,plain,
( spl35_724
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_724])]) ).
fof(f4457,plain,
( spl35_622
<=> ! [X0,X1] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_622])]) ).
fof(f4528,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_227
| ~ spl35_622 ),
inference(resolution,[],[f4458,f2136]) ).
fof(f4458,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))) )
| ~ spl35_622 ),
inference(avatar_component_clause,[],[f4457]) ).
fof(f5258,plain,
( spl35_723
| ~ spl35_53
| ~ spl35_609 ),
inference(avatar_split_clause,[],[f4412,f4356,f758,f5256]) ).
fof(f5256,plain,
( spl35_723
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_723])]) ).
fof(f4356,plain,
( spl35_609
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| sP5(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_609])]) ).
fof(f4412,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_53
| ~ spl35_609 ),
inference(resolution,[],[f4357,f759]) ).
fof(f4357,plain,
( ! [X0] :
( sP5(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0) )
| ~ spl35_609 ),
inference(avatar_component_clause,[],[f4356]) ).
fof(f5254,plain,
( spl35_722
| ~ spl35_54
| ~ spl35_609 ),
inference(avatar_split_clause,[],[f4411,f4356,f762,f5252]) ).
fof(f5252,plain,
( spl35_722
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_722])]) ).
fof(f4411,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_54
| ~ spl35_609 ),
inference(resolution,[],[f4357,f763]) ).
fof(f5250,plain,
( spl35_721
| ~ spl35_55
| ~ spl35_609 ),
inference(avatar_split_clause,[],[f4410,f4356,f766,f5248]) ).
fof(f5248,plain,
( spl35_721
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v3_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_721])]) ).
fof(f4410,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v3_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_55
| ~ spl35_609 ),
inference(resolution,[],[f4357,f767]) ).
fof(f5246,plain,
( spl35_720
| ~ spl35_56
| ~ spl35_609 ),
inference(avatar_split_clause,[],[f4409,f4356,f770,f5244]) ).
fof(f5244,plain,
( spl35_720
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v4_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_720])]) ).
fof(f4409,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v4_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_56
| ~ spl35_609 ),
inference(resolution,[],[f4357,f771]) ).
fof(f5242,plain,
( spl35_719
| ~ spl35_57
| ~ spl35_609 ),
inference(avatar_split_clause,[],[f4408,f4356,f774,f5240]) ).
fof(f5240,plain,
( spl35_719
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v5_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_719])]) ).
fof(f4408,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v5_membered(X0)
| v5_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_57
| ~ spl35_609 ),
inference(resolution,[],[f4357,f775]) ).
fof(f5236,plain,
( spl35_718
| ~ spl35_3
| ~ spl35_676 ),
inference(avatar_split_clause,[],[f4925,f4899,f537,f5233]) ).
fof(f5233,plain,
( spl35_718
<=> k1_xboole_0 = sK17(sK16(sK15(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_718])]) ).
fof(f4925,plain,
( k1_xboole_0 = sK17(sK16(sK15(sK12)))
| ~ spl35_3
| ~ spl35_676 ),
inference(resolution,[],[f4900,f539]) ).
fof(f5231,plain,
( spl35_717
| ~ spl35_26
| ~ spl35_634 ),
inference(avatar_split_clause,[],[f4586,f4525,f650,f5229]) ).
fof(f5229,plain,
( spl35_717
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_717])]) ).
fof(f4525,plain,
( spl35_634
<=> ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_634])]) ).
fof(f4586,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(k1_zfmisc_1(k1_zfmisc_1(X0)),X0) )
| ~ spl35_26
| ~ spl35_634 ),
inference(resolution,[],[f4526,f651]) ).
fof(f4526,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X0),X1) )
| ~ spl35_634 ),
inference(avatar_component_clause,[],[f4525]) ).
fof(f5227,plain,
( spl35_716
| ~ spl35_107
| ~ spl35_605 ),
inference(avatar_split_clause,[],[f4324,f4311,f1012,f5225]) ).
fof(f5225,plain,
( spl35_716
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| ~ r2_hidden(X0,sK27(sK27(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_716])]) ).
fof(f4324,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| ~ r2_hidden(X0,sK27(sK27(k1_zfmisc_1(X0)))) )
| ~ spl35_107
| ~ spl35_605 ),
inference(resolution,[],[f4312,f1013]) ).
fof(f5177,plain,
( spl35_715
| ~ spl35_517
| ~ spl35_637 ),
inference(avatar_split_clause,[],[f4610,f4596,f3781,f5175]) ).
fof(f5175,plain,
( spl35_715
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP10(X0,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_715])]) ).
fof(f3781,plain,
( spl35_517
<=> ! [X0] :
( v3_pre_topc(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_517])]) ).
fof(f4596,plain,
( spl35_637
<=> ! [X0] :
( sP10(X0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_pre_topc(u1_struct_0(X0),X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_637])]) ).
fof(f4610,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP10(X0,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_517
| ~ spl35_637 ),
inference(duplicate_literal_removal,[],[f4609]) ).
fof(f4609,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP10(X0,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_517
| ~ spl35_637 ),
inference(resolution,[],[f4597,f3782]) ).
fof(f3782,plain,
( ! [X0] :
( v3_pre_topc(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_517 ),
inference(avatar_component_clause,[],[f3781]) ).
fof(f4597,plain,
( ! [X0] :
( ~ v3_pre_topc(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP10(X0,u1_struct_0(X0))
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_637 ),
inference(avatar_component_clause,[],[f4596]) ).
fof(f5173,plain,
( spl35_714
| ~ spl35_467
| ~ spl35_598 ),
inference(avatar_split_clause,[],[f4214,f4196,f3484,f5171]) ).
fof(f5171,plain,
( spl35_714
<=> ! [X0,X1] :
( sK27(k1_zfmisc_1(X0)) = sK27(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_714])]) ).
fof(f3484,plain,
( spl35_467
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_467])]) ).
fof(f4196,plain,
( spl35_598
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK27(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_598])]) ).
fof(f4214,plain,
( ! [X0,X1] :
( sK27(k1_zfmisc_1(X0)) = sK27(k1_zfmisc_1(X1))
| ~ v1_xboole_0(X0)
| ~ v1_xboole_0(X1) )
| ~ spl35_467
| ~ spl35_598 ),
inference(resolution,[],[f4197,f3485]) ).
fof(f3485,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl35_467 ),
inference(avatar_component_clause,[],[f3484]) ).
fof(f4197,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| sK27(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X0) )
| ~ spl35_598 ),
inference(avatar_component_clause,[],[f4196]) ).
fof(f5169,plain,
( spl35_713
| ~ spl35_124
| ~ spl35_675 ),
inference(avatar_split_clause,[],[f4920,f4895,f1094,f5166]) ).
fof(f5166,plain,
( spl35_713
<=> k1_xboole_0 = sK17(sK15(sK16(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_713])]) ).
fof(f4920,plain,
( k1_xboole_0 = sK17(sK15(sK16(sK13)))
| ~ spl35_124
| ~ spl35_675 ),
inference(resolution,[],[f4896,f1096]) ).
fof(f5164,plain,
( spl35_712
| ~ spl35_467
| ~ spl35_597 ),
inference(avatar_split_clause,[],[f4208,f4192,f3484,f5162]) ).
fof(f5162,plain,
( spl35_712
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK27(k1_zfmisc_1(X1)) = sK17(sK16(X0))
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_712])]) ).
fof(f4192,plain,
( spl35_597
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK17(sK16(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_597])]) ).
fof(f4208,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK27(k1_zfmisc_1(X1)) = sK17(sK16(X0))
| ~ v1_xboole_0(X1) )
| ~ spl35_467
| ~ spl35_597 ),
inference(resolution,[],[f4193,f3485]) ).
fof(f4193,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| sK17(sK16(X0)) = X1 )
| ~ spl35_597 ),
inference(avatar_component_clause,[],[f4192]) ).
fof(f5160,plain,
( spl35_711
| ~ spl35_467
| ~ spl35_596 ),
inference(avatar_split_clause,[],[f4202,f4188,f3484,f5158]) ).
fof(f5158,plain,
( spl35_711
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK27(k1_zfmisc_1(X1)) = sK17(sK15(X0))
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_711])]) ).
fof(f4188,plain,
( spl35_596
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK17(sK15(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_596])]) ).
fof(f4202,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK27(k1_zfmisc_1(X1)) = sK17(sK15(X0))
| ~ v1_xboole_0(X1) )
| ~ spl35_467
| ~ spl35_596 ),
inference(resolution,[],[f4189,f3485]) ).
fof(f4189,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X0)
| sK17(sK15(X0)) = X1 )
| ~ spl35_596 ),
inference(avatar_component_clause,[],[f4188]) ).
fof(f5156,plain,
( spl35_710
| ~ spl35_261
| ~ spl35_591 ),
inference(avatar_split_clause,[],[f4162,f4137,f2376,f5154]) ).
fof(f5154,plain,
( spl35_710
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK23(sK16(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_710])]) ).
fof(f2376,plain,
( spl35_261
<=> ! [X0,X1] :
( sK23(X1) = X0
| ~ v1_xboole_0(X0)
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_261])]) ).
fof(f4137,plain,
( spl35_591
<=> ! [X0] :
( sP11(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_591])]) ).
fof(f4162,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK23(sK16(X0)) = X1 )
| ~ spl35_261
| ~ spl35_591 ),
inference(resolution,[],[f4138,f2377]) ).
fof(f2377,plain,
( ! [X0,X1] :
( ~ sP11(X1)
| ~ v1_xboole_0(X0)
| sK23(X1) = X0 )
| ~ spl35_261 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f4138,plain,
( ! [X0] :
( sP11(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_591 ),
inference(avatar_component_clause,[],[f4137]) ).
fof(f5152,plain,
( spl35_709
| ~ spl35_261
| ~ spl35_590 ),
inference(avatar_split_clause,[],[f4160,f4133,f2376,f5150]) ).
fof(f5150,plain,
( spl35_709
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK23(sK15(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_709])]) ).
fof(f4133,plain,
( spl35_590
<=> ! [X0] :
( sP11(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_590])]) ).
fof(f4160,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK23(sK15(X0)) = X1 )
| ~ spl35_261
| ~ spl35_590 ),
inference(resolution,[],[f4134,f2377]) ).
fof(f4134,plain,
( ! [X0] :
( sP11(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_590 ),
inference(avatar_component_clause,[],[f4133]) ).
fof(f5146,plain,
( spl35_708
| ~ spl35_3
| ~ spl35_675 ),
inference(avatar_split_clause,[],[f4919,f4895,f537,f5143]) ).
fof(f5143,plain,
( spl35_708
<=> k1_xboole_0 = sK17(sK15(sK16(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_708])]) ).
fof(f4919,plain,
( k1_xboole_0 = sK17(sK15(sK16(sK12)))
| ~ spl35_3
| ~ spl35_675 ),
inference(resolution,[],[f4896,f539]) ).
fof(f5141,plain,
( spl35_707
| ~ spl35_124
| ~ spl35_674 ),
inference(avatar_split_clause,[],[f4915,f4891,f1094,f5138]) ).
fof(f5138,plain,
( spl35_707
<=> k1_xboole_0 = sK17(sK15(sK15(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_707])]) ).
fof(f4915,plain,
( k1_xboole_0 = sK17(sK15(sK15(sK13)))
| ~ spl35_124
| ~ spl35_674 ),
inference(resolution,[],[f4892,f1096]) ).
fof(f5082,plain,
( spl35_706
| ~ spl35_149
| ~ spl35_646 ),
inference(avatar_split_clause,[],[f4671,f4651,f1291,f5080]) ).
fof(f1291,plain,
( spl35_149
<=> ! [X0,X1] :
( v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_149])]) ).
fof(f4651,plain,
( spl35_646
<=> ! [X0,X1] :
( ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_646])]) ).
fof(f4671,plain,
( ! [X0,X1] :
( sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_149
| ~ spl35_646 ),
inference(duplicate_literal_removal,[],[f4670]) ).
fof(f4670,plain,
( ! [X0,X1] :
( sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1)
| ~ sP7(X0,X1) )
| ~ spl35_149
| ~ spl35_646 ),
inference(resolution,[],[f4652,f1292]) ).
fof(f1292,plain,
( ! [X0,X1] :
( v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ sP7(X0,X1) )
| ~ spl35_149 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f4652,plain,
( ! [X0,X1] :
( ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_646 ),
inference(avatar_component_clause,[],[f4651]) ).
fof(f5078,plain,
( spl35_705
| ~ spl35_84
| ~ spl35_604 ),
inference(avatar_split_clause,[],[f4305,f4277,f899,f5076]) ).
fof(f5076,plain,
( spl35_705
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v5_membered(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_705])]) ).
fof(f4277,plain,
( spl35_604
<=> ! [X0] :
( sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_604])]) ).
fof(f4305,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v5_membered(sK24(X0)) )
| ~ spl35_84
| ~ spl35_604 ),
inference(resolution,[],[f4278,f900]) ).
fof(f4278,plain,
( ! [X0] :
( sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0)) )
| ~ spl35_604 ),
inference(avatar_component_clause,[],[f4277]) ).
fof(f5074,plain,
( spl35_704
| ~ spl35_83
| ~ spl35_604 ),
inference(avatar_split_clause,[],[f4304,f4277,f895,f5072]) ).
fof(f5072,plain,
( spl35_704
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v4_membered(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_704])]) ).
fof(f4304,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v4_membered(sK24(X0)) )
| ~ spl35_83
| ~ spl35_604 ),
inference(resolution,[],[f4278,f896]) ).
fof(f5070,plain,
( spl35_703
| ~ spl35_3
| ~ spl35_674 ),
inference(avatar_split_clause,[],[f4914,f4891,f537,f5067]) ).
fof(f5067,plain,
( spl35_703
<=> k1_xboole_0 = sK17(sK15(sK15(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_703])]) ).
fof(f4914,plain,
( k1_xboole_0 = sK17(sK15(sK15(sK12)))
| ~ spl35_3
| ~ spl35_674 ),
inference(resolution,[],[f4892,f539]) ).
fof(f5065,plain,
( spl35_702
| ~ spl35_82
| ~ spl35_604 ),
inference(avatar_split_clause,[],[f4303,f4277,f891,f5063]) ).
fof(f5063,plain,
( spl35_702
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v3_membered(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_702])]) ).
fof(f4303,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v3_membered(sK24(X0)) )
| ~ spl35_82
| ~ spl35_604 ),
inference(resolution,[],[f4278,f892]) ).
fof(f5061,plain,
( spl35_701
| ~ spl35_81
| ~ spl35_604 ),
inference(avatar_split_clause,[],[f4302,f4277,f887,f5059]) ).
fof(f5059,plain,
( spl35_701
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v2_membered(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_701])]) ).
fof(f4302,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v2_membered(sK24(X0)) )
| ~ spl35_81
| ~ spl35_604 ),
inference(resolution,[],[f4278,f888]) ).
fof(f5057,plain,
( spl35_700
| ~ spl35_80
| ~ spl35_604 ),
inference(avatar_split_clause,[],[f4301,f4277,f883,f5055]) ).
fof(f5055,plain,
( spl35_700
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v1_membered(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_700])]) ).
fof(f4301,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| v1_membered(sK24(X0)) )
| ~ spl35_80
| ~ spl35_604 ),
inference(resolution,[],[f4278,f884]) ).
fof(f5053,plain,
( spl35_699
| ~ spl35_84
| ~ spl35_603 ),
inference(avatar_split_clause,[],[f4295,f4273,f899,f5051]) ).
fof(f5051,plain,
( spl35_699
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v5_membered(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_699])]) ).
fof(f4273,plain,
( spl35_603
<=> ! [X0] :
( sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_603])]) ).
fof(f4295,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v5_membered(sK25(X0)) )
| ~ spl35_84
| ~ spl35_603 ),
inference(resolution,[],[f4274,f900]) ).
fof(f4274,plain,
( ! [X0] :
( sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0)) )
| ~ spl35_603 ),
inference(avatar_component_clause,[],[f4273]) ).
fof(f5049,plain,
( spl35_698
| ~ spl35_83
| ~ spl35_603 ),
inference(avatar_split_clause,[],[f4294,f4273,f895,f5047]) ).
fof(f5047,plain,
( spl35_698
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v4_membered(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_698])]) ).
fof(f4294,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v4_membered(sK25(X0)) )
| ~ spl35_83
| ~ spl35_603 ),
inference(resolution,[],[f4274,f896]) ).
fof(f5045,plain,
( spl35_697
| ~ spl35_82
| ~ spl35_603 ),
inference(avatar_split_clause,[],[f4293,f4273,f891,f5043]) ).
fof(f5043,plain,
( spl35_697
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v3_membered(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_697])]) ).
fof(f4293,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v3_membered(sK25(X0)) )
| ~ spl35_82
| ~ spl35_603 ),
inference(resolution,[],[f4274,f892]) ).
fof(f5041,plain,
( spl35_696
| ~ spl35_81
| ~ spl35_603 ),
inference(avatar_split_clause,[],[f4292,f4273,f887,f5039]) ).
fof(f5039,plain,
( spl35_696
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v2_membered(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_696])]) ).
fof(f4292,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v2_membered(sK25(X0)) )
| ~ spl35_81
| ~ spl35_603 ),
inference(resolution,[],[f4274,f888]) ).
fof(f5037,plain,
( spl35_695
| ~ spl35_80
| ~ spl35_603 ),
inference(avatar_split_clause,[],[f4291,f4273,f883,f5035]) ).
fof(f5035,plain,
( spl35_695
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v1_membered(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_695])]) ).
fof(f4291,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| v1_membered(sK25(X0)) )
| ~ spl35_80
| ~ spl35_603 ),
inference(resolution,[],[f4274,f884]) ).
fof(f5033,plain,
( spl35_694
| ~ spl35_84
| ~ spl35_602 ),
inference(avatar_split_clause,[],[f4285,f4269,f899,f5031]) ).
fof(f5031,plain,
( spl35_694
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v5_membered(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_694])]) ).
fof(f4269,plain,
( spl35_602
<=> ! [X0] :
( sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_602])]) ).
fof(f4285,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v5_membered(sK26(X0)) )
| ~ spl35_84
| ~ spl35_602 ),
inference(resolution,[],[f4270,f900]) ).
fof(f4270,plain,
( ! [X0] :
( sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) )
| ~ spl35_602 ),
inference(avatar_component_clause,[],[f4269]) ).
fof(f5029,plain,
( spl35_693
| ~ spl35_83
| ~ spl35_602 ),
inference(avatar_split_clause,[],[f4284,f4269,f895,f5027]) ).
fof(f5027,plain,
( spl35_693
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v4_membered(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_693])]) ).
fof(f4284,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v4_membered(sK26(X0)) )
| ~ spl35_83
| ~ spl35_602 ),
inference(resolution,[],[f4270,f896]) ).
fof(f5025,plain,
( spl35_692
| ~ spl35_82
| ~ spl35_602 ),
inference(avatar_split_clause,[],[f4283,f4269,f891,f5023]) ).
fof(f5023,plain,
( spl35_692
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v3_membered(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_692])]) ).
fof(f4283,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v3_membered(sK26(X0)) )
| ~ spl35_82
| ~ spl35_602 ),
inference(resolution,[],[f4270,f892]) ).
fof(f5021,plain,
( spl35_691
| ~ spl35_81
| ~ spl35_602 ),
inference(avatar_split_clause,[],[f4282,f4269,f887,f5019]) ).
fof(f5019,plain,
( spl35_691
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v2_membered(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_691])]) ).
fof(f4282,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v2_membered(sK26(X0)) )
| ~ spl35_81
| ~ spl35_602 ),
inference(resolution,[],[f4270,f888]) ).
fof(f5017,plain,
( spl35_690
| ~ spl35_80
| ~ spl35_602 ),
inference(avatar_split_clause,[],[f4281,f4269,f883,f5015]) ).
fof(f5015,plain,
( spl35_690
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v1_membered(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_690])]) ).
fof(f4281,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| v1_membered(sK26(X0)) )
| ~ spl35_80
| ~ spl35_602 ),
inference(resolution,[],[f4270,f884]) ).
fof(f5013,plain,
( spl35_689
| ~ spl35_107
| ~ spl35_599 ),
inference(avatar_split_clause,[],[f4227,f4218,f1012,f5011]) ).
fof(f5011,plain,
( spl35_689
<=> ! [X0] :
( v1_xboole_0(sK14(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(X0,sK27(sK14(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_689])]) ).
fof(f4227,plain,
( ! [X0] :
( v1_xboole_0(sK14(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(X0,sK27(sK14(X0))) )
| ~ spl35_107
| ~ spl35_599 ),
inference(resolution,[],[f4219,f1013]) ).
fof(f5009,plain,
( spl35_688
| ~ spl35_85
| ~ spl35_598 ),
inference(avatar_split_clause,[],[f4213,f4196,f903,f5007]) ).
fof(f5007,plain,
( spl35_688
<=> ! [X0,X1] :
( sK23(X1) = sK27(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_688])]) ).
fof(f903,plain,
( spl35_85
<=> ! [X0] :
( v1_xboole_0(sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_85])]) ).
fof(f4213,plain,
( ! [X0,X1] :
( sK23(X1) = sK27(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP11(X1) )
| ~ spl35_85
| ~ spl35_598 ),
inference(resolution,[],[f4197,f904]) ).
fof(f904,plain,
( ! [X0] :
( v1_xboole_0(sK23(X0))
| ~ sP11(X0) )
| ~ spl35_85 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f5005,plain,
( spl35_687
| ~ spl35_71
| ~ spl35_598 ),
inference(avatar_split_clause,[],[f4212,f4196,f846,f5003]) ).
fof(f5003,plain,
( spl35_687
<=> ! [X0,X1] :
( sK17(X1) = sK27(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_687])]) ).
fof(f846,plain,
( spl35_71
<=> ! [X0] :
( v1_xboole_0(sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_71])]) ).
fof(f4212,plain,
( ! [X0,X1] :
( sK17(X1) = sK27(k1_zfmisc_1(X0))
| ~ v1_xboole_0(X0)
| ~ sP4(X1) )
| ~ spl35_71
| ~ spl35_598 ),
inference(resolution,[],[f4197,f847]) ).
fof(f847,plain,
( ! [X0] :
( v1_xboole_0(sK17(X0))
| ~ sP4(X0) )
| ~ spl35_71 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f5001,plain,
( spl35_686
| ~ spl35_85
| ~ spl35_597 ),
inference(avatar_split_clause,[],[f4207,f4192,f903,f4999]) ).
fof(f4999,plain,
( spl35_686
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK23(X1) = sK17(sK16(X0))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_686])]) ).
fof(f4207,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK23(X1) = sK17(sK16(X0))
| ~ sP11(X1) )
| ~ spl35_85
| ~ spl35_597 ),
inference(resolution,[],[f4193,f904]) ).
fof(f4997,plain,
( spl35_685
| ~ spl35_71
| ~ spl35_597 ),
inference(avatar_split_clause,[],[f4206,f4192,f846,f4995]) ).
fof(f4995,plain,
( spl35_685
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK17(X1) = sK17(sK16(X0))
| ~ sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_685])]) ).
fof(f4206,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK17(X1) = sK17(sK16(X0))
| ~ sP4(X1) )
| ~ spl35_71
| ~ spl35_597 ),
inference(resolution,[],[f4193,f847]) ).
fof(f4993,plain,
( spl35_684
| ~ spl35_85
| ~ spl35_596 ),
inference(avatar_split_clause,[],[f4201,f4188,f903,f4991]) ).
fof(f4991,plain,
( spl35_684
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK23(X1) = sK17(sK15(X0))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_684])]) ).
fof(f4201,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK23(X1) = sK17(sK15(X0))
| ~ sP11(X1) )
| ~ spl35_85
| ~ spl35_596 ),
inference(resolution,[],[f4189,f904]) ).
fof(f4989,plain,
( spl35_683
| ~ spl35_71
| ~ spl35_596 ),
inference(avatar_split_clause,[],[f4200,f4188,f846,f4987]) ).
fof(f4987,plain,
( spl35_683
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK17(X1) = sK17(sK15(X0))
| ~ sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_683])]) ).
fof(f4200,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| sK17(X1) = sK17(sK15(X0))
| ~ sP4(X1) )
| ~ spl35_71
| ~ spl35_596 ),
inference(resolution,[],[f4189,f847]) ).
fof(f4962,plain,
( spl35_682
| ~ spl35_213
| ~ spl35_591 ),
inference(avatar_split_clause,[],[f4163,f4137,f2078,f4960]) ).
fof(f2078,plain,
( spl35_213
<=> ! [X0] :
( ~ sP11(X0)
| k1_xboole_0 = sK23(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_213])]) ).
fof(f4163,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_xboole_0 = sK23(sK16(X0)) )
| ~ spl35_213
| ~ spl35_591 ),
inference(resolution,[],[f4138,f2079]) ).
fof(f2079,plain,
( ! [X0] :
( ~ sP11(X0)
| k1_xboole_0 = sK23(X0) )
| ~ spl35_213 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f4958,plain,
( spl35_681
| ~ spl35_213
| ~ spl35_590 ),
inference(avatar_split_clause,[],[f4161,f4133,f2078,f4956]) ).
fof(f4161,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| k1_xboole_0 = sK23(sK15(X0)) )
| ~ spl35_213
| ~ spl35_590 ),
inference(resolution,[],[f4134,f2079]) ).
fof(f4954,plain,
( spl35_680
| ~ spl35_467
| ~ spl35_589 ),
inference(avatar_split_clause,[],[f4157,f4129,f3484,f4952]) ).
fof(f4952,plain,
( spl35_680
<=> ! [X0] :
( k1_xboole_0 = sK27(k1_zfmisc_1(sK27(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_680])]) ).
fof(f4129,plain,
( spl35_589
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK27(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_589])]) ).
fof(f4157,plain,
( ! [X0] :
( k1_xboole_0 = sK27(k1_zfmisc_1(sK27(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0) )
| ~ spl35_467
| ~ spl35_589 ),
inference(resolution,[],[f4130,f3485]) ).
fof(f4130,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK27(k1_zfmisc_1(X0)) )
| ~ spl35_589 ),
inference(avatar_component_clause,[],[f4129]) ).
fof(f4924,plain,
( ~ spl35_124
| ~ spl35_456
| spl35_667 ),
inference(avatar_split_clause,[],[f4837,f4778,f3430,f1094]) ).
fof(f3430,plain,
( spl35_456
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| sP4(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_456])]) ).
fof(f4778,plain,
( spl35_667
<=> sP4(sK15(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_667])]) ).
fof(f4837,plain,
( ~ l1_pre_topc(sK13)
| ~ spl35_456
| spl35_667 ),
inference(resolution,[],[f4780,f3431]) ).
fof(f3431,plain,
( ! [X0] :
( sP4(sK15(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_456 ),
inference(avatar_component_clause,[],[f3430]) ).
fof(f4780,plain,
( ~ sP4(sK15(sK13))
| spl35_667 ),
inference(avatar_component_clause,[],[f4778]) ).
fof(f4913,plain,
( spl35_679
| ~ spl35_85
| ~ spl35_589 ),
inference(avatar_split_clause,[],[f4156,f4129,f903,f4911]) ).
fof(f4911,plain,
( spl35_679
<=> ! [X0] :
( k1_xboole_0 = sK27(k1_zfmisc_1(sK23(X0)))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_679])]) ).
fof(f4156,plain,
( ! [X0] :
( k1_xboole_0 = sK27(k1_zfmisc_1(sK23(X0)))
| ~ sP11(X0) )
| ~ spl35_85
| ~ spl35_589 ),
inference(resolution,[],[f4130,f904]) ).
fof(f4909,plain,
( spl35_678
| ~ spl35_71
| ~ spl35_589 ),
inference(avatar_split_clause,[],[f4155,f4129,f846,f4907]) ).
fof(f4907,plain,
( spl35_678
<=> ! [X0] :
( k1_xboole_0 = sK27(k1_zfmisc_1(sK17(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_678])]) ).
fof(f4155,plain,
( ! [X0] :
( k1_xboole_0 = sK27(k1_zfmisc_1(sK17(X0)))
| ~ sP4(X0) )
| ~ spl35_71
| ~ spl35_589 ),
inference(resolution,[],[f4130,f847]) ).
fof(f4905,plain,
( spl35_677
| ~ spl35_206
| ~ spl35_585 ),
inference(avatar_split_clause,[],[f4152,f4109,f1882,f4903]) ).
fof(f1882,plain,
( spl35_206
<=> ! [X0] :
( l1_pre_topc(sK16(X0))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_206])]) ).
fof(f4109,plain,
( spl35_585
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_585])]) ).
fof(f4152,plain,
( ! [X0] :
( k1_xboole_0 = sK17(sK16(sK16(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_206
| ~ spl35_585 ),
inference(resolution,[],[f4110,f1883]) ).
fof(f1883,plain,
( ! [X0] :
( l1_pre_topc(sK16(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_206 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f4110,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK16(X0)) )
| ~ spl35_585 ),
inference(avatar_component_clause,[],[f4109]) ).
fof(f4901,plain,
( spl35_676
| ~ spl35_205
| ~ spl35_585 ),
inference(avatar_split_clause,[],[f4151,f4109,f1878,f4899]) ).
fof(f1878,plain,
( spl35_205
<=> ! [X0] :
( l1_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_205])]) ).
fof(f4151,plain,
( ! [X0] :
( k1_xboole_0 = sK17(sK16(sK15(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_205
| ~ spl35_585 ),
inference(resolution,[],[f4110,f1879]) ).
fof(f1879,plain,
( ! [X0] :
( l1_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_205 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f4897,plain,
( spl35_675
| ~ spl35_206
| ~ spl35_579 ),
inference(avatar_split_clause,[],[f4147,f4080,f1882,f4895]) ).
fof(f4080,plain,
( spl35_579
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_579])]) ).
fof(f4147,plain,
( ! [X0] :
( k1_xboole_0 = sK17(sK15(sK16(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_206
| ~ spl35_579 ),
inference(resolution,[],[f4081,f1883]) ).
fof(f4081,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK15(X0)) )
| ~ spl35_579 ),
inference(avatar_component_clause,[],[f4080]) ).
fof(f4893,plain,
( spl35_674
| ~ spl35_205
| ~ spl35_579 ),
inference(avatar_split_clause,[],[f4146,f4080,f1878,f4891]) ).
fof(f4146,plain,
( ! [X0] :
( k1_xboole_0 = sK17(sK15(sK15(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_205
| ~ spl35_579 ),
inference(resolution,[],[f4081,f1879]) ).
fof(f4816,plain,
( spl35_673
| ~ spl35_8
| ~ spl35_589 ),
inference(avatar_split_clause,[],[f4154,f4129,f562,f4813]) ).
fof(f4813,plain,
( spl35_673
<=> k1_xboole_0 = sK27(k1_zfmisc_1(k1_xboole_0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_673])]) ).
fof(f562,plain,
( spl35_8
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_8])]) ).
fof(f4154,plain,
( k1_xboole_0 = sK27(k1_zfmisc_1(k1_xboole_0))
| ~ spl35_8
| ~ spl35_589 ),
inference(resolution,[],[f4130,f564]) ).
fof(f564,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl35_8 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f4811,plain,
( spl35_672
| ~ spl35_15
| ~ spl35_585 ),
inference(avatar_split_clause,[],[f4153,f4109,f597,f4808]) ).
fof(f4808,plain,
( spl35_672
<=> k1_xboole_0 = sK17(sK16(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_672])]) ).
fof(f4153,plain,
( k1_xboole_0 = sK17(sK16(sK32))
| ~ spl35_15
| ~ spl35_585 ),
inference(resolution,[],[f4110,f599]) ).
fof(f4806,plain,
( spl35_671
| ~ spl35_15
| ~ spl35_579 ),
inference(avatar_split_clause,[],[f4148,f4080,f597,f4803]) ).
fof(f4148,plain,
( k1_xboole_0 = sK17(sK15(sK32))
| ~ spl35_15
| ~ spl35_579 ),
inference(resolution,[],[f4081,f599]) ).
fof(f4793,plain,
( spl35_670
| ~ spl35_195
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3761,f3681,f1704,f4791]) ).
fof(f4791,plain,
( spl35_670
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v2_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ v4_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_670])]) ).
fof(f1704,plain,
( spl35_195
<=> ! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_195])]) ).
fof(f3681,plain,
( spl35_506
<=> ! [X0] :
( m1_subset_1(sK27(sK14(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_506])]) ).
fof(f3761,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v2_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ v4_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_195
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1705]) ).
fof(f1705,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| v3_tops_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_195 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f3682,plain,
( ! [X0] :
( m1_subset_1(sK27(sK14(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK14(X0)) )
| ~ spl35_506 ),
inference(avatar_component_clause,[],[f3681]) ).
fof(f4789,plain,
( spl35_669
| ~ spl35_194
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3760,f3681,f1700,f4787]) ).
fof(f1700,plain,
( spl35_194
<=> ! [X0,X1] :
( sP10(X0,X1)
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_194])]) ).
fof(f3760,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| sP10(X0,sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_194
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1701]) ).
fof(f1701,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| sP10(X0,X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_194 ),
inference(avatar_component_clause,[],[f1700]) ).
fof(f4785,plain,
( ~ spl35_667
| spl35_668
| ~ spl35_97
| ~ spl35_601 ),
inference(avatar_split_clause,[],[f4478,f4264,f967,f4782,f4778]) ).
fof(f4782,plain,
( spl35_668
<=> v2_tops_1(k1_xboole_0,sK15(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_668])]) ).
fof(f4264,plain,
( spl35_601
<=> k1_xboole_0 = sK17(sK15(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_601])]) ).
fof(f4478,plain,
( v2_tops_1(k1_xboole_0,sK15(sK13))
| ~ sP4(sK15(sK13))
| ~ spl35_97
| ~ spl35_601 ),
inference(superposition,[],[f968,f4266]) ).
fof(f4266,plain,
( k1_xboole_0 = sK17(sK15(sK13))
| ~ spl35_601 ),
inference(avatar_component_clause,[],[f4264]) ).
fof(f4776,plain,
( spl35_666
| ~ spl35_195
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3740,f3677,f1704,f4774]) ).
fof(f4774,plain,
( spl35_666
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v2_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ v4_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_666])]) ).
fof(f3677,plain,
( spl35_505
<=> ! [X0] :
( m1_subset_1(sK27(sK27(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_505])]) ).
fof(f3740,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v2_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ v4_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_195
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1705]) ).
fof(f3678,plain,
( ! [X0] :
( m1_subset_1(sK27(sK27(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_505 ),
inference(avatar_component_clause,[],[f3677]) ).
fof(f4772,plain,
( spl35_665
| ~ spl35_194
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3739,f3677,f1700,f4770]) ).
fof(f3739,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| sP10(X0,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_194
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1701]) ).
fof(f4766,plain,
( spl35_664
| ~ spl35_190
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3759,f3681,f1659,f4764]) ).
fof(f4764,plain,
( spl35_664
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| v2_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_664])]) ).
fof(f1659,plain,
( spl35_190
<=> ! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_190])]) ).
fof(f3759,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| v2_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_190
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1660]) ).
fof(f1660,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_tops_1(X1,X0)
| v2_tops_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_190 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f4760,plain,
( spl35_663
| ~ spl35_188
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3758,f3681,f1588,f4758]) ).
fof(f4758,plain,
( spl35_663
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v4_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_663])]) ).
fof(f1588,plain,
( spl35_188
<=> ! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_188])]) ).
fof(f3758,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v4_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_188
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1589]) ).
fof(f1589,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v4_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_188 ),
inference(avatar_component_clause,[],[f1588]) ).
fof(f4756,plain,
( spl35_662
| ~ spl35_187
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3757,f3681,f1584,f4754]) ).
fof(f4754,plain,
( spl35_662
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_662])]) ).
fof(f1584,plain,
( spl35_187
<=> ! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_187])]) ).
fof(f3757,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v3_pre_topc(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_187
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1585]) ).
fof(f1585,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v3_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_187 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f4752,plain,
( spl35_661
| ~ spl35_186
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3756,f3681,f1580,f4750]) ).
fof(f1580,plain,
( spl35_186
<=> ! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_186])]) ).
fof(f3756,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v3_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_186
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1581]) ).
fof(f1581,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v3_tops_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_186 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f4748,plain,
( spl35_660
| ~ spl35_190
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3738,f3677,f1659,f4746]) ).
fof(f4746,plain,
( spl35_660
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| v2_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_660])]) ).
fof(f3738,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| v2_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_190
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1660]) ).
fof(f4744,plain,
( spl35_659
| ~ spl35_188
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3737,f3677,f1588,f4742]) ).
fof(f4742,plain,
( spl35_659
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v4_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_659])]) ).
fof(f3737,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v4_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_188
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1589]) ).
fof(f4740,plain,
( spl35_658
| ~ spl35_187
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3736,f3677,f1584,f4738]) ).
fof(f4738,plain,
( spl35_658
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_658])]) ).
fof(f3736,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v3_pre_topc(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_187
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1585]) ).
fof(f4736,plain,
( spl35_657
| ~ spl35_186
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3735,f3677,f1580,f4734]) ).
fof(f3735,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v3_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_186
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1581]) ).
fof(f4729,plain,
( spl35_656
| ~ spl35_415
| ~ spl35_569 ),
inference(avatar_split_clause,[],[f4043,f4019,f3161,f4727]) ).
fof(f4727,plain,
( spl35_656
<=> ! [X0,X3,X2,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_656])]) ).
fof(f3161,plain,
( spl35_415
<=> ! [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,[spl35_415])]) ).
fof(f4043,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) )
| ~ spl35_415
| ~ spl35_569 ),
inference(resolution,[],[f4020,f3162]) ).
fof(f3162,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) )
| ~ spl35_415 ),
inference(avatar_component_clause,[],[f3161]) ).
fof(f4725,plain,
( spl35_655
| ~ spl35_181
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3755,f3681,f1509,f4723]) ).
fof(f4723,plain,
( spl35_655
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v2_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_655])]) ).
fof(f1509,plain,
( spl35_181
<=> ! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_181])]) ).
fof(f3755,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(sK14(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))))
| v2_tops_1(sK27(sK14(k1_zfmisc_1(u1_struct_0(X0)))),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_181
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1510]) ).
fof(f1510,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_xboole_0(X1)
| v2_tops_1(X1,X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_181 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f4721,plain,
( spl35_654
| ~ spl35_181
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3734,f3677,f1509,f4719]) ).
fof(f4719,plain,
( spl35_654
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v2_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_654])]) ).
fof(f3734,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))))
| ~ v1_xboole_0(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))))
| v2_tops_1(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_181
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1510]) ).
fof(f4707,plain,
( spl35_653
| ~ spl35_143
| ~ spl35_566 ),
inference(avatar_split_clause,[],[f4039,f4007,f1174,f4705]) ).
fof(f4007,plain,
( spl35_566
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ sP8(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_566])]) ).
fof(f4039,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| ~ sP8(X1,X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1))) )
| ~ spl35_143
| ~ spl35_566 ),
inference(resolution,[],[f4008,f1175]) ).
fof(f4008,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ r2_hidden(X0,sK20(X1,X2))
| ~ sP8(X1,X2) )
| ~ spl35_566 ),
inference(avatar_component_clause,[],[f4007]) ).
fof(f4703,plain,
( spl35_652
| ~ spl35_143
| ~ spl35_565 ),
inference(avatar_split_clause,[],[f4038,f4003,f1174,f4701]) ).
fof(f4003,plain,
( spl35_565
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK19(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ sP7(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_565])]) ).
fof(f4038,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK19(X1,X2))
| ~ sP7(X1,X2)
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| r2_hidden(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1))) )
| ~ spl35_143
| ~ spl35_565 ),
inference(resolution,[],[f4004,f1175]) ).
fof(f4004,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ r2_hidden(X0,sK19(X1,X2))
| ~ sP7(X1,X2) )
| ~ spl35_565 ),
inference(avatar_component_clause,[],[f4003]) ).
fof(f4698,plain,
( spl35_651
| ~ spl35_415
| ~ spl35_507 ),
inference(avatar_split_clause,[],[f3765,f3685,f3161,f4696]) ).
fof(f3765,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) )
| ~ spl35_415
| ~ spl35_507 ),
inference(resolution,[],[f3686,f3162]) ).
fof(f4694,plain,
( ~ spl35_3
| ~ spl35_456
| spl35_639 ),
inference(avatar_split_clause,[],[f4666,f4622,f3430,f537]) ).
fof(f4622,plain,
( spl35_639
<=> sP4(sK15(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_639])]) ).
fof(f4666,plain,
( ~ l1_pre_topc(sK12)
| ~ spl35_456
| spl35_639 ),
inference(resolution,[],[f4624,f3431]) ).
fof(f4624,plain,
( ~ sP4(sK15(sK12))
| spl35_639 ),
inference(avatar_component_clause,[],[f4622]) ).
fof(f4687,plain,
( spl35_650
| ~ spl35_143
| ~ spl35_568 ),
inference(avatar_split_clause,[],[f4041,f4015,f1174,f4685]) ).
fof(f4015,plain,
( spl35_568
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK22(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_568])]) ).
fof(f4041,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK22(X0)),u1_struct_0(X0)) )
| ~ spl35_143
| ~ spl35_568 ),
inference(resolution,[],[f4016,f1175]) ).
fof(f4016,plain,
( ! [X0] :
( m1_subset_1(sK27(sK22(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0)) )
| ~ spl35_568 ),
inference(avatar_component_clause,[],[f4015]) ).
fof(f4683,plain,
( spl35_649
| ~ spl35_143
| ~ spl35_567 ),
inference(avatar_split_clause,[],[f4040,f4011,f1174,f4681]) ).
fof(f4011,plain,
( spl35_567
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK21(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_567])]) ).
fof(f4040,plain,
( ! [X0] :
( v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK21(X0)),u1_struct_0(X0)) )
| ~ spl35_143
| ~ spl35_567 ),
inference(resolution,[],[f4012,f1175]) ).
fof(f4012,plain,
( ! [X0] :
( m1_subset_1(sK27(sK21(X0)),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0)) )
| ~ spl35_567 ),
inference(avatar_component_clause,[],[f4011]) ).
fof(f4679,plain,
( spl35_648
| ~ spl35_151
| ~ spl35_526 ),
inference(avatar_split_clause,[],[f3940,f3824,f1299,f4677]) ).
fof(f4677,plain,
( spl35_648
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ r1_borsuk_1(X0,sK16(X0))
| sP8(sK16(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_648])]) ).
fof(f1299,plain,
( spl35_151
<=> ! [X0,X1] :
( sP8(X1,X0)
| ~ r1_borsuk_1(X0,X1)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_151])]) ).
fof(f3824,plain,
( spl35_526
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| sP9(X0,sK16(X0))
| v3_struct_0(sK16(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_526])]) ).
fof(f3940,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ r1_borsuk_1(X0,sK16(X0))
| sP8(sK16(X0),X0) )
| ~ spl35_151
| ~ spl35_526 ),
inference(resolution,[],[f3825,f1300]) ).
fof(f1300,plain,
( ! [X0,X1] :
( ~ sP9(X0,X1)
| ~ r1_borsuk_1(X0,X1)
| sP8(X1,X0) )
| ~ spl35_151 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f3825,plain,
( ! [X0] :
( sP9(X0,sK16(X0))
| ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_526 ),
inference(avatar_component_clause,[],[f3824]) ).
fof(f4675,plain,
( spl35_647
| ~ spl35_152
| ~ spl35_526 ),
inference(avatar_split_clause,[],[f3939,f3824,f1303,f4673]) ).
fof(f4673,plain,
( spl35_647
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ sP8(sK16(X0),X0)
| r1_borsuk_1(X0,sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_647])]) ).
fof(f1303,plain,
( spl35_152
<=> ! [X0,X1] :
( r1_borsuk_1(X0,X1)
| ~ sP8(X1,X0)
| ~ sP9(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_152])]) ).
fof(f3939,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ sP8(sK16(X0),X0)
| r1_borsuk_1(X0,sK16(X0)) )
| ~ spl35_152
| ~ spl35_526 ),
inference(resolution,[],[f3825,f1304]) ).
fof(f1304,plain,
( ! [X0,X1] :
( ~ sP9(X0,X1)
| ~ sP8(X1,X0)
| r1_borsuk_1(X0,X1) )
| ~ spl35_152 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f4653,plain,
( spl35_646
| ~ spl35_150
| ~ spl35_587 ),
inference(avatar_split_clause,[],[f4123,f4119,f1295,f4651]) ).
fof(f1295,plain,
( spl35_150
<=> ! [X0,X1] :
( v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_150])]) ).
fof(f4119,plain,
( spl35_587
<=> ! [X0,X1] :
( sP8(X0,X1)
| ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_587])]) ).
fof(f4123,plain,
( ! [X0,X1] :
( ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_150
| ~ spl35_587 ),
inference(duplicate_literal_removal,[],[f4122]) ).
fof(f4122,plain,
( ! [X0,X1] :
( ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1)
| ~ sP7(X0,X1) )
| ~ spl35_150
| ~ spl35_587 ),
inference(resolution,[],[f4120,f1296]) ).
fof(f1296,plain,
( ! [X0,X1] :
( v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ sP7(X0,X1) )
| ~ spl35_150 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f4120,plain,
( ! [X0,X1] :
( ~ v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| sP8(X0,X1)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_587 ),
inference(avatar_component_clause,[],[f4119]) ).
fof(f4649,plain,
( spl35_645
| ~ spl35_143
| ~ spl35_554 ),
inference(avatar_split_clause,[],[f3951,f3936,f1174,f4647]) ).
fof(f3936,plain,
( spl35_554
<=> ! [X0] :
( m1_subset_1(sK27(sK26(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_554])]) ).
fof(f3951,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK26(X0)),u1_struct_0(X0)) )
| ~ spl35_143
| ~ spl35_554 ),
inference(resolution,[],[f3937,f1175]) ).
fof(f3937,plain,
( ! [X0] :
( m1_subset_1(sK27(sK26(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0)) )
| ~ spl35_554 ),
inference(avatar_component_clause,[],[f3936]) ).
fof(f4645,plain,
( spl35_644
| ~ spl35_143
| ~ spl35_553 ),
inference(avatar_split_clause,[],[f3950,f3932,f1174,f4643]) ).
fof(f3932,plain,
( spl35_553
<=> ! [X0] :
( m1_subset_1(sK27(sK25(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_553])]) ).
fof(f3950,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK25(X0)),u1_struct_0(X0)) )
| ~ spl35_143
| ~ spl35_553 ),
inference(resolution,[],[f3933,f1175]) ).
fof(f3933,plain,
( ! [X0] :
( m1_subset_1(sK27(sK25(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0)) )
| ~ spl35_553 ),
inference(avatar_component_clause,[],[f3932]) ).
fof(f4641,plain,
( spl35_643
| ~ spl35_143
| ~ spl35_552 ),
inference(avatar_split_clause,[],[f3949,f3928,f1174,f4639]) ).
fof(f3928,plain,
( spl35_552
<=> ! [X0] :
( m1_subset_1(sK27(sK24(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_552])]) ).
fof(f3949,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK24(X0)),u1_struct_0(X0)) )
| ~ spl35_143
| ~ spl35_552 ),
inference(resolution,[],[f3929,f1175]) ).
fof(f3929,plain,
( ! [X0] :
( m1_subset_1(sK27(sK24(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0)) )
| ~ spl35_552 ),
inference(avatar_component_clause,[],[f3928]) ).
fof(f4637,plain,
( spl35_642
| ~ spl35_143
| ~ spl35_551 ),
inference(avatar_split_clause,[],[f3948,f3924,f1174,f4635]) ).
fof(f3924,plain,
( spl35_551
<=> ! [X0] :
( m1_subset_1(sK27(sK18(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK18(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_551])]) ).
fof(f3948,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK18(X0))
| v1_xboole_0(u1_struct_0(X0))
| r2_hidden(sK27(sK18(X0)),u1_struct_0(X0)) )
| ~ spl35_143
| ~ spl35_551 ),
inference(resolution,[],[f3925,f1175]) ).
fof(f3925,plain,
( ! [X0] :
( m1_subset_1(sK27(sK18(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK18(X0)) )
| ~ spl35_551 ),
inference(avatar_component_clause,[],[f3924]) ).
fof(f4633,plain,
( spl35_641
| ~ spl35_170
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3754,f3681,f1385,f4631]) ).
fof(f1385,plain,
( spl35_170
<=> ! [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,[spl35_170])]) ).
fof(f3754,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_170
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1386]) ).
fof(f1386,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl35_170 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f4629,plain,
( ~ spl35_639
| spl35_640
| ~ spl35_97
| ~ spl35_595 ),
inference(avatar_split_clause,[],[f4425,f4183,f967,f4626,f4622]) ).
fof(f4626,plain,
( spl35_640
<=> v2_tops_1(k1_xboole_0,sK15(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_640])]) ).
fof(f4183,plain,
( spl35_595
<=> k1_xboole_0 = sK17(sK15(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_595])]) ).
fof(f4425,plain,
( v2_tops_1(k1_xboole_0,sK15(sK12))
| ~ sP4(sK15(sK12))
| ~ spl35_97
| ~ spl35_595 ),
inference(superposition,[],[f968,f4185]) ).
fof(f4185,plain,
( k1_xboole_0 = sK17(sK15(sK12))
| ~ spl35_595 ),
inference(avatar_component_clause,[],[f4183]) ).
fof(f4602,plain,
( spl35_638
| ~ spl35_417
| ~ spl35_586 ),
inference(avatar_split_clause,[],[f4117,f4113,f3169,f4600]) ).
fof(f3169,plain,
( spl35_417
<=> ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_417])]) ).
fof(f4113,plain,
( spl35_586
<=> ! [X0] :
( ~ v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_586])]) ).
fof(f4117,plain,
( ! [X0] :
( sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_417
| ~ spl35_586 ),
inference(duplicate_literal_removal,[],[f4116]) ).
fof(f4116,plain,
( ! [X0] :
( sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_417
| ~ spl35_586 ),
inference(resolution,[],[f4114,f3170]) ).
fof(f3170,plain,
( ! [X0] :
( v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_417 ),
inference(avatar_component_clause,[],[f3169]) ).
fof(f4114,plain,
( ! [X0] :
( ~ v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_586 ),
inference(avatar_component_clause,[],[f4113]) ).
fof(f4598,plain,
( spl35_637
| ~ spl35_516
| ~ spl35_576 ),
inference(avatar_split_clause,[],[f4072,f4064,f3777,f4596]) ).
fof(f3777,plain,
( spl35_516
<=> ! [X0] :
( v3_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_516])]) ).
fof(f4064,plain,
( spl35_576
<=> ! [X0] :
( ~ v3_pre_topc(u1_struct_0(X0),X0)
| sP10(X0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_tops_1(u1_struct_0(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_576])]) ).
fof(f4072,plain,
( ! [X0] :
( sP10(X0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_pre_topc(u1_struct_0(X0),X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_516
| ~ spl35_576 ),
inference(duplicate_literal_removal,[],[f4071]) ).
fof(f4071,plain,
( ! [X0] :
( sP10(X0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_pre_topc(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_516
| ~ spl35_576 ),
inference(resolution,[],[f4065,f3778]) ).
fof(f3778,plain,
( ! [X0] :
( v3_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_516 ),
inference(avatar_component_clause,[],[f3777]) ).
fof(f4065,plain,
( ! [X0] :
( ~ v3_tops_1(u1_struct_0(X0),X0)
| sP10(X0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_pre_topc(u1_struct_0(X0),X0) )
| ~ spl35_576 ),
inference(avatar_component_clause,[],[f4064]) ).
fof(f4594,plain,
( spl35_636
| ~ spl35_158
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3753,f3681,f1327,f4592]) ).
fof(f1327,plain,
( spl35_158
<=> ! [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,[spl35_158])]) ).
fof(f3753,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK27(sK14(k1_zfmisc_1(X0)))) )
| ~ spl35_158
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1328]) ).
fof(f1328,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl35_158 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f4590,plain,
( spl35_635
| ~ spl35_170
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3733,f3677,f1385,f4588]) ).
fof(f3733,plain,
( ! [X0,X1] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_170
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1386]) ).
fof(f4527,plain,
( spl35_634
| ~ spl35_274
| ~ spl35_507 ),
inference(avatar_split_clause,[],[f3764,f3685,f2461,f4525]) ).
fof(f2461,plain,
( spl35_274
<=> ! [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,[spl35_274])]) ).
fof(f3764,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) )
| ~ spl35_274
| ~ spl35_507 ),
inference(resolution,[],[f3686,f2462]) ).
fof(f2462,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl35_274 ),
inference(avatar_component_clause,[],[f2461]) ).
fof(f4523,plain,
( spl35_633
| ~ spl35_137
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3752,f3681,f1150,f4521]) ).
fof(f4521,plain,
( spl35_633
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_633])]) ).
fof(f1150,plain,
( spl35_137
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_137])]) ).
fof(f3752,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v1_membered(X0) )
| ~ spl35_137
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1151]) ).
fof(f1151,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v1_membered(X0) )
| ~ spl35_137 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f4519,plain,
( spl35_632
| ~ spl35_136
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3751,f3681,f1146,f4517]) ).
fof(f4517,plain,
( spl35_632
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v2_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_632])]) ).
fof(f1146,plain,
( spl35_136
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_136])]) ).
fof(f3751,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v2_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v2_membered(X0) )
| ~ spl35_136
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1147]) ).
fof(f1147,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v2_membered(X0) )
| ~ spl35_136 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f4515,plain,
( spl35_631
| ~ spl35_135
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3750,f3681,f1142,f4513]) ).
fof(f4513,plain,
( spl35_631
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_631])]) ).
fof(f1142,plain,
( spl35_135
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_135])]) ).
fof(f3750,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v2_membered(X0) )
| ~ spl35_135
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1143]) ).
fof(f1143,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v2_membered(X0) )
| ~ spl35_135 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f4511,plain,
( spl35_630
| ~ spl35_134
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3749,f3681,f1135,f4509]) ).
fof(f4509,plain,
( spl35_630
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v3_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_630])]) ).
fof(f1135,plain,
( spl35_134
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_134])]) ).
fof(f3749,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v3_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v3_membered(X0) )
| ~ spl35_134
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1136]) ).
fof(f1136,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1)
| ~ v3_membered(X0) )
| ~ spl35_134 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f4507,plain,
( spl35_629
| ~ spl35_133
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3748,f3681,f1131,f4505]) ).
fof(f4505,plain,
( spl35_629
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v2_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_629])]) ).
fof(f1131,plain,
( spl35_133
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_133])]) ).
fof(f3748,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v2_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v3_membered(X0) )
| ~ spl35_133
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1132]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v3_membered(X0) )
| ~ spl35_133 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f4503,plain,
( spl35_628
| ~ spl35_132
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3747,f3681,f1127,f4501]) ).
fof(f4501,plain,
( spl35_628
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_628])]) ).
fof(f1127,plain,
( spl35_132
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_132])]) ).
fof(f3747,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v3_membered(X0) )
| ~ spl35_132
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1128]) ).
fof(f1128,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v3_membered(X0) )
| ~ spl35_132 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f4499,plain,
( spl35_627
| ~ spl35_131
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3746,f3681,f1123,f4497]) ).
fof(f4497,plain,
( spl35_627
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v4_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_627])]) ).
fof(f1123,plain,
( spl35_131
<=> ! [X0,X1] :
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_131])]) ).
fof(f3746,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v4_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) )
| ~ spl35_131
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1124]) ).
fof(f1124,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v4_membered(X1)
| ~ v4_membered(X0) )
| ~ spl35_131 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f4495,plain,
( spl35_626
| ~ spl35_130
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3745,f3681,f1119,f4493]) ).
fof(f4493,plain,
( spl35_626
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v3_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_626])]) ).
fof(f1119,plain,
( spl35_130
<=> ! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_130])]) ).
fof(f3745,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v3_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) )
| ~ spl35_130
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1120]) ).
fof(f1120,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v3_membered(X1)
| ~ v4_membered(X0) )
| ~ spl35_130 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f4471,plain,
( spl35_625
| ~ spl35_129
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3744,f3681,f1115,f4469]) ).
fof(f4469,plain,
( spl35_625
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v2_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_625])]) ).
fof(f1115,plain,
( spl35_129
<=> ! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_129])]) ).
fof(f3744,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v2_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) )
| ~ spl35_129
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1116]) ).
fof(f1116,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v2_membered(X1)
| ~ v4_membered(X0) )
| ~ spl35_129 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f4467,plain,
( spl35_624
| ~ spl35_128
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3743,f3681,f1111,f4465]) ).
fof(f4465,plain,
( spl35_624
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_624])]) ).
fof(f1111,plain,
( spl35_128
<=> ! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_128])]) ).
fof(f3743,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| v1_membered(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v4_membered(X0) )
| ~ spl35_128
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1112]) ).
fof(f1112,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_membered(X1)
| ~ v4_membered(X0) )
| ~ spl35_128 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f4463,plain,
( spl35_623
| ~ spl35_127
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3742,f3681,f1107,f4461]) ).
fof(f1107,plain,
( spl35_127
<=> ! [X0,X1] :
( sP5(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_127])]) ).
fof(f3742,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK14(k1_zfmisc_1(X0)))
| sP5(sK27(sK14(k1_zfmisc_1(X0))))
| ~ v5_membered(X0) )
| ~ spl35_127
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1108]) ).
fof(f1108,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| sP5(X1)
| ~ v5_membered(X0) )
| ~ spl35_127 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f4459,plain,
( spl35_622
| ~ spl35_158
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3732,f3677,f1327,f4457]) ).
fof(f3732,plain,
( ! [X0,X1] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl35_158
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1328]) ).
fof(f4407,plain,
( spl35_621
| ~ spl35_398
| ~ spl35_582 ),
inference(avatar_split_clause,[],[f4099,f4092,f3060,f4405]) ).
fof(f4405,plain,
( spl35_621
<=> ! [X0] :
( sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ v1_xboole_0(sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_621])]) ).
fof(f3060,plain,
( spl35_398
<=> ! [X0] :
( ~ v1_xboole_0(sK17(X0))
| v3_pre_topc(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_398])]) ).
fof(f4092,plain,
( spl35_582
<=> ! [X0] :
( ~ v3_pre_topc(sK17(X0),X0)
| sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ v1_xboole_0(sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_582])]) ).
fof(f4099,plain,
( ! [X0] :
( sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ v1_xboole_0(sK17(X0)) )
| ~ spl35_398
| ~ spl35_582 ),
inference(duplicate_literal_removal,[],[f4095]) ).
fof(f4095,plain,
( ! [X0] :
( sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ v1_xboole_0(sK17(X0))
| ~ v1_xboole_0(sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_398
| ~ spl35_582 ),
inference(resolution,[],[f4093,f3061]) ).
fof(f3061,plain,
( ! [X0] :
( v3_pre_topc(sK17(X0),X0)
| ~ v1_xboole_0(sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_398 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f4093,plain,
( ! [X0] :
( ~ v3_pre_topc(sK17(X0),X0)
| sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ v1_xboole_0(sK17(X0)) )
| ~ spl35_582 ),
inference(avatar_component_clause,[],[f4092]) ).
fof(f4403,plain,
( spl35_620
| ~ spl35_137
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3731,f3677,f1150,f4401]) ).
fof(f4401,plain,
( spl35_620
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_620])]) ).
fof(f3731,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v1_membered(X0) )
| ~ spl35_137
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1151]) ).
fof(f4399,plain,
( spl35_619
| ~ spl35_136
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3730,f3677,f1146,f4397]) ).
fof(f4397,plain,
( spl35_619
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_619])]) ).
fof(f3730,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v2_membered(X0) )
| ~ spl35_136
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1147]) ).
fof(f4395,plain,
( spl35_618
| ~ spl35_135
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3729,f3677,f1142,f4393]) ).
fof(f4393,plain,
( spl35_618
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_618])]) ).
fof(f3729,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v2_membered(X0) )
| ~ spl35_135
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1143]) ).
fof(f4391,plain,
( spl35_617
| ~ spl35_124
| ~ spl35_585 ),
inference(avatar_split_clause,[],[f4150,f4109,f1094,f4388]) ).
fof(f4150,plain,
( k1_xboole_0 = sK17(sK16(sK13))
| ~ spl35_124
| ~ spl35_585 ),
inference(resolution,[],[f4110,f1096]) ).
fof(f4386,plain,
( spl35_616
| ~ spl35_134
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3728,f3677,f1135,f4384]) ).
fof(f4384,plain,
( spl35_616
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v3_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_616])]) ).
fof(f3728,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v3_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v3_membered(X0) )
| ~ spl35_134
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1136]) ).
fof(f4382,plain,
( spl35_615
| ~ spl35_133
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3727,f3677,f1131,f4380]) ).
fof(f4380,plain,
( spl35_615
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_615])]) ).
fof(f3727,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v3_membered(X0) )
| ~ spl35_133
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1132]) ).
fof(f4378,plain,
( spl35_614
| ~ spl35_132
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3726,f3677,f1127,f4376]) ).
fof(f4376,plain,
( spl35_614
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_614])]) ).
fof(f3726,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v3_membered(X0) )
| ~ spl35_132
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1128]) ).
fof(f4374,plain,
( spl35_613
| ~ spl35_131
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3725,f3677,f1123,f4372]) ).
fof(f4372,plain,
( spl35_613
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v4_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_613])]) ).
fof(f3725,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v4_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) )
| ~ spl35_131
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1124]) ).
fof(f4370,plain,
( spl35_612
| ~ spl35_130
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3724,f3677,f1119,f4368]) ).
fof(f4368,plain,
( spl35_612
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v3_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_612])]) ).
fof(f3724,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v3_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) )
| ~ spl35_130
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1120]) ).
fof(f4366,plain,
( spl35_611
| ~ spl35_129
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3723,f3677,f1115,f4364]) ).
fof(f4364,plain,
( spl35_611
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_611])]) ).
fof(f3723,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v2_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) )
| ~ spl35_129
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1116]) ).
fof(f4362,plain,
( spl35_610
| ~ spl35_128
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3722,f3677,f1111,f4360]) ).
fof(f4360,plain,
( spl35_610
<=> ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_610])]) ).
fof(f3722,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| v1_membered(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v4_membered(X0) )
| ~ spl35_128
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1112]) ).
fof(f4358,plain,
( spl35_609
| ~ spl35_127
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3721,f3677,f1107,f4356]) ).
fof(f3721,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(k1_zfmisc_1(X0))))
| sP5(sK27(sK27(k1_zfmisc_1(k1_zfmisc_1(X0)))))
| ~ v5_membered(X0) )
| ~ spl35_127
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1108]) ).
fof(f4352,plain,
( spl35_608
| ~ spl35_3
| ~ spl35_585 ),
inference(avatar_split_clause,[],[f4149,f4109,f537,f4349]) ).
fof(f4149,plain,
( k1_xboole_0 = sK17(sK16(sK12))
| ~ spl35_3
| ~ spl35_585 ),
inference(resolution,[],[f4110,f539]) ).
fof(f4321,plain,
( spl35_607
| ~ spl35_227
| ~ spl35_513 ),
inference(avatar_split_clause,[],[f3771,f3714,f2135,f4319]) ).
fof(f3771,plain,
( ! [X0,X1] :
( m1_subset_1(sK27(sK30(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK30(X0,X1)) )
| ~ spl35_227
| ~ spl35_513 ),
inference(resolution,[],[f3715,f2136]) ).
fof(f4317,plain,
( spl35_606
| ~ spl35_227
| ~ spl35_512 ),
inference(avatar_split_clause,[],[f3770,f3710,f2135,f4315]) ).
fof(f3770,plain,
( ! [X0,X1] :
( m1_subset_1(sK27(sK29(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK29(X0,X1)) )
| ~ spl35_227
| ~ spl35_512 ),
inference(resolution,[],[f3711,f2136]) ).
fof(f4313,plain,
( spl35_605
| ~ spl35_143
| ~ spl35_505 ),
inference(avatar_split_clause,[],[f3741,f3677,f1174,f4311]) ).
fof(f3741,plain,
( ! [X0] :
( v1_xboole_0(sK27(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK27(sK27(k1_zfmisc_1(X0))),X0) )
| ~ spl35_143
| ~ spl35_505 ),
inference(resolution,[],[f3678,f1175]) ).
fof(f4279,plain,
( spl35_604
| ~ spl35_139
| ~ spl35_573 ),
inference(avatar_split_clause,[],[f4054,f4035,f1158,f4277]) ).
fof(f1158,plain,
( spl35_139
<=> ! [X0] :
( v3_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_139])]) ).
fof(f4035,plain,
( spl35_573
<=> ! [X0] :
( ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_573])]) ).
fof(f4054,plain,
( ! [X0] :
( sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0)) )
| ~ spl35_139
| ~ spl35_573 ),
inference(duplicate_literal_removal,[],[f4053]) ).
fof(f4053,plain,
( ! [X0] :
( sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_139
| ~ spl35_573 ),
inference(resolution,[],[f4036,f1159]) ).
fof(f1159,plain,
( ! [X0] :
( v3_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_139 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f4036,plain,
( ! [X0] :
( ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0)) )
| ~ spl35_573 ),
inference(avatar_component_clause,[],[f4035]) ).
fof(f4275,plain,
( spl35_603
| ~ spl35_140
| ~ spl35_572 ),
inference(avatar_split_clause,[],[f4047,f4031,f1162,f4273]) ).
fof(f1162,plain,
( spl35_140
<=> ! [X0] :
( v3_pre_topc(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_140])]) ).
fof(f4031,plain,
( spl35_572
<=> ! [X0] :
( ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_572])]) ).
fof(f4047,plain,
( ! [X0] :
( sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0)) )
| ~ spl35_140
| ~ spl35_572 ),
inference(duplicate_literal_removal,[],[f4046]) ).
fof(f4046,plain,
( ! [X0] :
( sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_140
| ~ spl35_572 ),
inference(resolution,[],[f4032,f1163]) ).
fof(f1163,plain,
( ! [X0] :
( v3_pre_topc(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_140 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f4032,plain,
( ! [X0] :
( ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0)) )
| ~ spl35_572 ),
inference(avatar_component_clause,[],[f4031]) ).
fof(f4271,plain,
( spl35_602
| ~ spl35_352
| ~ spl35_571 ),
inference(avatar_split_clause,[],[f4045,f4027,f2835,f4269]) ).
fof(f2835,plain,
( spl35_352
<=> ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v3_pre_topc(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_352])]) ).
fof(f4027,plain,
( spl35_571
<=> ! [X0] :
( ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_571])]) ).
fof(f4045,plain,
( ! [X0] :
( sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) )
| ~ spl35_352
| ~ spl35_571 ),
inference(duplicate_literal_removal,[],[f4044]) ).
fof(f4044,plain,
( ! [X0] :
( sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ~ v1_xboole_0(sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_352
| ~ spl35_571 ),
inference(resolution,[],[f4028,f2836]) ).
fof(f2836,plain,
( ! [X0] :
( v3_pre_topc(sK26(X0),X0)
| ~ v1_xboole_0(sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_352 ),
inference(avatar_component_clause,[],[f2835]) ).
fof(f4028,plain,
( ! [X0] :
( ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) )
| ~ spl35_571 ),
inference(avatar_component_clause,[],[f4027]) ).
fof(f4267,plain,
( spl35_601
| ~ spl35_124
| ~ spl35_579 ),
inference(avatar_split_clause,[],[f4145,f4080,f1094,f4264]) ).
fof(f4145,plain,
( k1_xboole_0 = sK17(sK15(sK13))
| ~ spl35_124
| ~ spl35_579 ),
inference(resolution,[],[f4081,f1096]) ).
fof(f4224,plain,
( spl35_600
| ~ spl35_102
| ~ spl35_563 ),
inference(avatar_split_clause,[],[f3996,f3986,f987,f4222]) ).
fof(f4222,plain,
( spl35_600
<=> ! [X0] :
( sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_600])]) ).
fof(f987,plain,
( spl35_102
<=> ! [X0] :
( v3_pre_topc(sK23(X0),X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_102])]) ).
fof(f3986,plain,
( spl35_563
<=> ! [X0] :
( ~ v3_pre_topc(sK23(X0),X0)
| sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_563])]) ).
fof(f3996,plain,
( ! [X0] :
( sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) )
| ~ spl35_102
| ~ spl35_563 ),
inference(duplicate_literal_removal,[],[f3993]) ).
fof(f3993,plain,
( ! [X0] :
( sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0)
| ~ sP11(X0) )
| ~ spl35_102
| ~ spl35_563 ),
inference(resolution,[],[f3987,f988]) ).
fof(f988,plain,
( ! [X0] :
( v3_pre_topc(sK23(X0),X0)
| ~ sP11(X0) )
| ~ spl35_102 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f3987,plain,
( ! [X0] :
( ~ v3_pre_topc(sK23(X0),X0)
| sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) )
| ~ spl35_563 ),
inference(avatar_component_clause,[],[f3986]) ).
fof(f4220,plain,
( spl35_599
| ~ spl35_143
| ~ spl35_506 ),
inference(avatar_split_clause,[],[f3763,f3681,f1174,f4218]) ).
fof(f3763,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK14(X0))
| r2_hidden(sK27(sK14(X0)),X0) )
| ~ spl35_143
| ~ spl35_506 ),
inference(duplicate_literal_removal,[],[f3762]) ).
fof(f3762,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK14(X0))
| v1_xboole_0(X0)
| r2_hidden(sK27(sK14(X0)),X0) )
| ~ spl35_143
| ~ spl35_506 ),
inference(resolution,[],[f3682,f1175]) ).
fof(f4198,plain,
( spl35_598
| ~ spl35_121
| ~ spl35_467 ),
inference(avatar_split_clause,[],[f3495,f3484,f1072,f4196]) ).
fof(f1072,plain,
( spl35_121
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_121])]) ).
fof(f3495,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK27(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl35_121
| ~ spl35_467 ),
inference(resolution,[],[f3485,f1073]) ).
fof(f1073,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl35_121 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f4194,plain,
( spl35_597
| ~ spl35_260
| ~ spl35_458 ),
inference(avatar_split_clause,[],[f3452,f3438,f2363,f4192]) ).
fof(f2363,plain,
( spl35_260
<=> ! [X0,X1] :
( sK17(X1) = X0
| ~ v1_xboole_0(X0)
| ~ sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_260])]) ).
fof(f3452,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK17(sK16(X0)) = X1 )
| ~ spl35_260
| ~ spl35_458 ),
inference(resolution,[],[f3439,f2364]) ).
fof(f2364,plain,
( ! [X0,X1] :
( ~ sP4(X1)
| ~ v1_xboole_0(X0)
| sK17(X1) = X0 )
| ~ spl35_260 ),
inference(avatar_component_clause,[],[f2363]) ).
fof(f4190,plain,
( spl35_596
| ~ spl35_260
| ~ spl35_456 ),
inference(avatar_split_clause,[],[f3450,f3430,f2363,f4188]) ).
fof(f3450,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v1_xboole_0(X1)
| sK17(sK15(X0)) = X1 )
| ~ spl35_260
| ~ spl35_456 ),
inference(resolution,[],[f3431,f2364]) ).
fof(f4186,plain,
( spl35_595
| ~ spl35_3
| ~ spl35_579 ),
inference(avatar_split_clause,[],[f4144,f4080,f537,f4183]) ).
fof(f4144,plain,
( k1_xboole_0 = sK17(sK15(sK12))
| ~ spl35_3
| ~ spl35_579 ),
inference(resolution,[],[f4081,f539]) ).
fof(f4181,plain,
( spl35_594
| ~ spl35_227
| ~ spl35_503 ),
inference(avatar_split_clause,[],[f3675,f3667,f2135,f4179]) ).
fof(f4179,plain,
( spl35_594
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_594])]) ).
fof(f3667,plain,
( spl35_503
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK30(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_503])]) ).
fof(f3675,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK30(X0,X1)) )
| ~ spl35_227
| ~ spl35_503 ),
inference(resolution,[],[f3668,f2136]) ).
fof(f3668,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK30(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl35_503 ),
inference(avatar_component_clause,[],[f3667]) ).
fof(f4177,plain,
( spl35_593
| ~ spl35_227
| ~ spl35_501 ),
inference(avatar_split_clause,[],[f3674,f3659,f2135,f4175]) ).
fof(f4175,plain,
( spl35_593
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK29(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_593])]) ).
fof(f3659,plain,
( spl35_501
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK29(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_501])]) ).
fof(f3674,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK29(X0,X1)) )
| ~ spl35_227
| ~ spl35_501 ),
inference(resolution,[],[f3660,f2136]) ).
fof(f3660,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK29(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl35_501 ),
inference(avatar_component_clause,[],[f3659]) ).
fof(f4143,plain,
( spl35_592
| ~ spl35_271
| ~ spl35_514 ),
inference(avatar_split_clause,[],[f3775,f3718,f2440,f4141]) ).
fof(f4141,plain,
( spl35_592
<=> ! [X0] :
( sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_592])]) ).
fof(f2440,plain,
( spl35_271
<=> ! [X0] :
( v3_pre_topc(k1_xboole_0,X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_271])]) ).
fof(f3718,plain,
( spl35_514
<=> ! [X0] :
( ~ v3_pre_topc(k1_xboole_0,X0)
| sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_514])]) ).
fof(f3775,plain,
( ! [X0] :
( sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_271
| ~ spl35_514 ),
inference(duplicate_literal_removal,[],[f3772]) ).
fof(f3772,plain,
( ! [X0] :
( sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_271
| ~ spl35_514 ),
inference(resolution,[],[f3719,f2441]) ).
fof(f2441,plain,
( ! [X0] :
( v3_pre_topc(k1_xboole_0,X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_271 ),
inference(avatar_component_clause,[],[f2440]) ).
fof(f3719,plain,
( ! [X0] :
( ~ v3_pre_topc(k1_xboole_0,X0)
| sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_514 ),
inference(avatar_component_clause,[],[f3718]) ).
fof(f4139,plain,
( spl35_591
| ~ spl35_468
| ~ spl35_476 ),
inference(avatar_split_clause,[],[f3642,f3540,f3499,f4137]) ).
fof(f3499,plain,
( spl35_468
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| v2_pre_topc(sK16(X0))
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_468])]) ).
fof(f3540,plain,
( spl35_476
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| sP11(sK16(X0))
| ~ v2_pre_topc(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_476])]) ).
fof(f3642,plain,
( ! [X0] :
( sP11(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_468
| ~ spl35_476 ),
inference(duplicate_literal_removal,[],[f3641]) ).
fof(f3641,plain,
( ! [X0] :
( sP11(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_468
| ~ spl35_476 ),
inference(resolution,[],[f3541,f3500]) ).
fof(f3500,plain,
( ! [X0] :
( v2_pre_topc(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_468 ),
inference(avatar_component_clause,[],[f3499]) ).
fof(f3541,plain,
( ! [X0] :
( ~ v2_pre_topc(sK16(X0))
| sP11(sK16(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_476 ),
inference(avatar_component_clause,[],[f3540]) ).
fof(f4135,plain,
( spl35_590
| ~ spl35_255
| ~ spl35_475 ),
inference(avatar_split_clause,[],[f3640,f3536,f2315,f4133]) ).
fof(f2315,plain,
( spl35_255
<=> ! [X0] :
( v2_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_255])]) ).
fof(f3536,plain,
( spl35_475
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| sP11(sK15(X0))
| ~ v2_pre_topc(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_475])]) ).
fof(f3640,plain,
( ! [X0] :
( sP11(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_255
| ~ spl35_475 ),
inference(duplicate_literal_removal,[],[f3639]) ).
fof(f3639,plain,
( ! [X0] :
( sP11(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_255
| ~ spl35_475 ),
inference(resolution,[],[f3537,f2316]) ).
fof(f2316,plain,
( ! [X0] :
( v2_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_255 ),
inference(avatar_component_clause,[],[f2315]) ).
fof(f3537,plain,
( ! [X0] :
( ~ v2_pre_topc(sK15(X0))
| sP11(sK15(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_475 ),
inference(avatar_component_clause,[],[f3536]) ).
fof(f4131,plain,
( spl35_589
| ~ spl35_78
| ~ spl35_467 ),
inference(avatar_split_clause,[],[f3496,f3484,f875,f4129]) ).
fof(f875,plain,
( spl35_78
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_78])]) ).
fof(f3496,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = sK27(k1_zfmisc_1(X0)) )
| ~ spl35_78
| ~ spl35_467 ),
inference(resolution,[],[f3485,f876]) ).
fof(f876,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl35_78 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f4127,plain,
( spl35_588
| ~ spl35_196
| ~ spl35_229 ),
inference(avatar_split_clause,[],[f2195,f2143,f1754,f4125]) ).
fof(f4125,plain,
( spl35_588
<=> ! [X0,X1] :
( ~ v3_borsuk_1(sK29(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| sP8(X1,X0)
| ~ v5_pre_topc(sK29(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK29(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK29(u1_struct_0(X0),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_588])]) ).
fof(f1754,plain,
( spl35_196
<=> ! [X2,X0,X1] :
( sP8(X0,X1)
| ~ v3_borsuk_1(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_196])]) ).
fof(f2143,plain,
( spl35_229
<=> ! [X0,X1] : m2_relset_1(sK29(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_229])]) ).
fof(f2195,plain,
( ! [X0,X1] :
( ~ v3_borsuk_1(sK29(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| sP8(X1,X0)
| ~ v5_pre_topc(sK29(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK29(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK29(u1_struct_0(X0),u1_struct_0(X1))) )
| ~ spl35_196
| ~ spl35_229 ),
inference(resolution,[],[f2144,f1755]) ).
fof(f1755,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v3_borsuk_1(X2,X1,X0)
| sP8(X0,X1)
| ~ v5_pre_topc(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) )
| ~ spl35_196 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f2144,plain,
( ! [X0,X1] : m2_relset_1(sK29(X0,X1),X0,X1)
| ~ spl35_229 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f4121,plain,
( spl35_587
| ~ spl35_171
| ~ spl35_453 ),
inference(avatar_split_clause,[],[f3359,f3355,f1466,f4119]) ).
fof(f1466,plain,
( spl35_171
<=> ! [X0,X1] :
( v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_171])]) ).
fof(f3355,plain,
( spl35_453
<=> ! [X0,X1] :
( ~ v3_borsuk_1(sK19(X0,X1),X1,X0)
| sP8(X0,X1)
| ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_453])]) ).
fof(f3359,plain,
( ! [X0,X1] :
( sP8(X0,X1)
| ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_171
| ~ spl35_453 ),
inference(duplicate_literal_removal,[],[f3358]) ).
fof(f3358,plain,
( ! [X0,X1] :
( sP8(X0,X1)
| ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1)
| ~ sP7(X0,X1) )
| ~ spl35_171
| ~ spl35_453 ),
inference(resolution,[],[f3356,f1467]) ).
fof(f1467,plain,
( ! [X0,X1] :
( v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP7(X0,X1) )
| ~ spl35_171 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f3356,plain,
( ! [X0,X1] :
( ~ v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| sP8(X0,X1)
| ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_453 ),
inference(avatar_component_clause,[],[f3355]) ).
fof(f4115,plain,
( spl35_586
| ~ spl35_416
| ~ spl35_450 ),
inference(avatar_split_clause,[],[f3351,f3339,f3165,f4113]) ).
fof(f3165,plain,
( spl35_416
<=> ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_416])]) ).
fof(f3339,plain,
( spl35_450
<=> ! [X0] :
( ~ v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_450])]) ).
fof(f3351,plain,
( ! [X0] :
( ~ v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0)))) )
| ~ spl35_416
| ~ spl35_450 ),
inference(duplicate_literal_removal,[],[f3350]) ).
fof(f3350,plain,
( ! [X0] :
( ~ v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_416
| ~ spl35_450 ),
inference(resolution,[],[f3340,f3166]) ).
fof(f3166,plain,
( ! [X0] :
( v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_416 ),
inference(avatar_component_clause,[],[f3165]) ).
fof(f3340,plain,
( ! [X0] :
( ~ v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_450 ),
inference(avatar_component_clause,[],[f3339]) ).
fof(f4111,plain,
( spl35_585
| ~ spl35_212
| ~ spl35_458 ),
inference(avatar_split_clause,[],[f3453,f3438,f2074,f4109]) ).
fof(f2074,plain,
( spl35_212
<=> ! [X0] :
( k1_xboole_0 = sK17(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_212])]) ).
fof(f3453,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK16(X0)) )
| ~ spl35_212
| ~ spl35_458 ),
inference(resolution,[],[f3439,f2075]) ).
fof(f2075,plain,
( ! [X0] :
( ~ sP4(X0)
| k1_xboole_0 = sK17(X0) )
| ~ spl35_212 ),
inference(avatar_component_clause,[],[f2074]) ).
fof(f4107,plain,
( spl35_584
| ~ spl35_192
| ~ spl35_214 ),
inference(avatar_split_clause,[],[f2160,f2082,f1692,f4105]) ).
fof(f4105,plain,
( spl35_584
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(sK16(X0))
| v3_struct_0(sK16(X0))
| v2_tex_2(sK16(X0),X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_584])]) ).
fof(f1692,plain,
( spl35_192
<=> ! [X0,X1] :
( v2_tex_2(X1,X0)
| ~ v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_192])]) ).
fof(f2082,plain,
( spl35_214
<=> ! [X0] :
( m1_pre_topc(sK16(X0),X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_214])]) ).
fof(f2160,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(sK16(X0))
| v3_struct_0(sK16(X0))
| v2_tex_2(sK16(X0),X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_192
| ~ spl35_214 ),
inference(duplicate_literal_removal,[],[f2157]) ).
fof(f2157,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(sK16(X0))
| v3_struct_0(sK16(X0))
| v2_tex_2(sK16(X0),X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_192
| ~ spl35_214 ),
inference(resolution,[],[f2083,f1693]) ).
fof(f1693,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ v2_t_0topsp(X1)
| v3_struct_0(X1)
| v2_tex_2(X1,X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_192 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f2083,plain,
( ! [X0] :
( m1_pre_topc(sK16(X0),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_214 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f4103,plain,
( spl35_583
| ~ spl35_193
| ~ spl35_214 ),
inference(avatar_split_clause,[],[f2159,f2082,f1696,f4101]) ).
fof(f4101,plain,
( spl35_583
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| v2_tex_2(sK16(X0),X0)
| v3_struct_0(sK16(X0))
| ~ v3_realset2(sK16(X0))
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_583])]) ).
fof(f1696,plain,
( spl35_193
<=> ! [X0,X1] :
( ~ v3_realset2(X1)
| v2_tex_2(X1,X0)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_193])]) ).
fof(f2159,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v2_tex_2(sK16(X0),X0)
| v3_struct_0(sK16(X0))
| ~ v3_realset2(sK16(X0))
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_193
| ~ spl35_214 ),
inference(duplicate_literal_removal,[],[f2158]) ).
fof(f2158,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v2_tex_2(sK16(X0),X0)
| v3_struct_0(sK16(X0))
| ~ v3_realset2(sK16(X0))
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_193
| ~ spl35_214 ),
inference(resolution,[],[f2083,f1697]) ).
fof(f1697,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v2_tex_2(X1,X0)
| v3_struct_0(X1)
| ~ v3_realset2(X1)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_193 ),
inference(avatar_component_clause,[],[f1696]) ).
fof(f4094,plain,
( spl35_582
| ~ spl35_396
| ~ spl35_437 ),
inference(avatar_split_clause,[],[f3309,f3275,f3052,f4092]) ).
fof(f3052,plain,
( spl35_396
<=> ! [X0] :
( ~ v1_xboole_0(sK17(X0))
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_396])]) ).
fof(f3275,plain,
( spl35_437
<=> ! [X0] :
( ~ v3_tops_1(sK17(X0),X0)
| ~ v3_pre_topc(sK17(X0),X0)
| sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_437])]) ).
fof(f3309,plain,
( ! [X0] :
( ~ v3_pre_topc(sK17(X0),X0)
| sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ v1_xboole_0(sK17(X0)) )
| ~ spl35_396
| ~ spl35_437 ),
inference(duplicate_literal_removal,[],[f3306]) ).
fof(f3306,plain,
( ! [X0] :
( ~ v3_pre_topc(sK17(X0),X0)
| sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ v1_xboole_0(sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_396
| ~ spl35_437 ),
inference(resolution,[],[f3276,f3053]) ).
fof(f3053,plain,
( ! [X0] :
( v3_tops_1(sK17(X0),X0)
| ~ v1_xboole_0(sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_396 ),
inference(avatar_component_clause,[],[f3052]) ).
fof(f3276,plain,
( ! [X0] :
( ~ v3_tops_1(sK17(X0),X0)
| ~ v3_pre_topc(sK17(X0),X0)
| sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_437 ),
inference(avatar_component_clause,[],[f3275]) ).
fof(f4090,plain,
( spl35_581
| ~ spl35_151
| ~ spl35_394 ),
inference(avatar_split_clause,[],[f3087,f3044,f1299,f4088]) ).
fof(f4088,plain,
( spl35_581
<=> ! [X0] :
( v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ r1_borsuk_1(X0,sK15(X0))
| sP8(sK15(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_581])]) ).
fof(f3044,plain,
( spl35_394
<=> ! [X0] :
( sP9(X0,sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_394])]) ).
fof(f3087,plain,
( ! [X0] :
( v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ r1_borsuk_1(X0,sK15(X0))
| sP8(sK15(X0),X0) )
| ~ spl35_151
| ~ spl35_394 ),
inference(resolution,[],[f3045,f1300]) ).
fof(f3045,plain,
( ! [X0] :
( sP9(X0,sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_394 ),
inference(avatar_component_clause,[],[f3044]) ).
fof(f4086,plain,
( spl35_580
| ~ spl35_152
| ~ spl35_394 ),
inference(avatar_split_clause,[],[f3086,f3044,f1303,f4084]) ).
fof(f4084,plain,
( spl35_580
<=> ! [X0] :
( v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ sP8(sK15(X0),X0)
| r1_borsuk_1(X0,sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_580])]) ).
fof(f3086,plain,
( ! [X0] :
( v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ sP8(sK15(X0),X0)
| r1_borsuk_1(X0,sK15(X0)) )
| ~ spl35_152
| ~ spl35_394 ),
inference(resolution,[],[f3045,f1304]) ).
fof(f4082,plain,
( spl35_579
| ~ spl35_212
| ~ spl35_456 ),
inference(avatar_split_clause,[],[f3451,f3430,f2074,f4080]) ).
fof(f3451,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| k1_xboole_0 = sK17(sK15(X0)) )
| ~ spl35_212
| ~ spl35_456 ),
inference(resolution,[],[f3431,f2075]) ).
fof(f4078,plain,
( spl35_578
| ~ spl35_191
| ~ spl35_215 ),
inference(avatar_split_clause,[],[f2172,f2086,f1685,f4076]) ).
fof(f4076,plain,
( spl35_578
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| sP7(sK15(X0),X0)
| ~ v2_tsp_2(sK15(X0),X0)
| v3_struct_0(sK15(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_578])]) ).
fof(f1685,plain,
( spl35_191
<=> ! [X0,X1] :
( sP7(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_191])]) ).
fof(f2086,plain,
( spl35_215
<=> ! [X0] :
( m2_tsp_1(sK15(X0),X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_215])]) ).
fof(f2172,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP7(sK15(X0),X0)
| ~ v2_tsp_2(sK15(X0),X0)
| v3_struct_0(sK15(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_191
| ~ spl35_215 ),
inference(duplicate_literal_removal,[],[f2167]) ).
fof(f2167,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP7(sK15(X0),X0)
| ~ v2_tsp_2(sK15(X0),X0)
| v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_191
| ~ spl35_215 ),
inference(resolution,[],[f2087,f1686]) ).
fof(f1686,plain,
( ! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| sP7(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_191 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f2087,plain,
( ! [X0] :
( m2_tsp_1(sK15(X0),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_215 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f4070,plain,
( spl35_577
| ~ spl35_26
| ~ spl35_434 ),
inference(avatar_split_clause,[],[f3265,f3261,f650,f4068]) ).
fof(f4068,plain,
( spl35_577
<=> ! [X0] :
( ~ v4_pre_topc(u1_struct_0(X0),X0)
| v3_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v2_tops_1(u1_struct_0(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_577])]) ).
fof(f3261,plain,
( spl35_434
<=> ! [X0,X1] :
( ~ v2_tops_1(X0,X1)
| ~ v4_pre_topc(X0,X1)
| v3_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_434])]) ).
fof(f3265,plain,
( ! [X0] :
( ~ v4_pre_topc(u1_struct_0(X0),X0)
| v3_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v2_tops_1(u1_struct_0(X0),X0) )
| ~ spl35_26
| ~ spl35_434 ),
inference(resolution,[],[f3262,f651]) ).
fof(f3262,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| ~ v4_pre_topc(X0,X1)
| v3_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v2_tops_1(X0,X1) )
| ~ spl35_434 ),
inference(avatar_component_clause,[],[f3261]) ).
fof(f4066,plain,
( spl35_576
| ~ spl35_26
| ~ spl35_433 ),
inference(avatar_split_clause,[],[f3264,f3257,f650,f4064]) ).
fof(f3257,plain,
( spl35_433
<=> ! [X0,X1] :
( ~ v3_tops_1(X0,X1)
| ~ v3_pre_topc(X0,X1)
| sP10(X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_433])]) ).
fof(f3264,plain,
( ! [X0] :
( ~ v3_pre_topc(u1_struct_0(X0),X0)
| sP10(X0,u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_tops_1(u1_struct_0(X0),X0) )
| ~ spl35_26
| ~ spl35_433 ),
inference(resolution,[],[f3258,f651]) ).
fof(f3258,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| ~ v3_pre_topc(X0,X1)
| sP10(X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_tops_1(X0,X1) )
| ~ spl35_433 ),
inference(avatar_component_clause,[],[f3257]) ).
fof(f4062,plain,
( spl35_575
| ~ spl35_107
| ~ spl35_420 ),
inference(avatar_split_clause,[],[f3228,f3184,f1012,f4060]) ).
fof(f4060,plain,
( spl35_575
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK22(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_575])]) ).
fof(f3184,plain,
( spl35_420
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK22(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_420])]) ).
fof(f3228,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK22(X0)) )
| ~ spl35_107
| ~ spl35_420 ),
inference(resolution,[],[f3185,f1013]) ).
fof(f3185,plain,
( ! [X0] :
( r2_hidden(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_420 ),
inference(avatar_component_clause,[],[f3184]) ).
fof(f4058,plain,
( spl35_574
| ~ spl35_107
| ~ spl35_419 ),
inference(avatar_split_clause,[],[f3221,f3180,f1012,f4056]) ).
fof(f4056,plain,
( spl35_574
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_574])]) ).
fof(f3180,plain,
( spl35_419
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK21(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_419])]) ).
fof(f3221,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK21(X0)) )
| ~ spl35_107
| ~ spl35_419 ),
inference(resolution,[],[f3181,f1013]) ).
fof(f3181,plain,
( ! [X0] :
( r2_hidden(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_419 ),
inference(avatar_component_clause,[],[f3180]) ).
fof(f4037,plain,
( spl35_573
| ~ spl35_351
| ~ spl35_425 ),
inference(avatar_split_clause,[],[f3236,f3204,f2831,f4035]) ).
fof(f2831,plain,
( spl35_351
<=> ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v3_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_351])]) ).
fof(f3204,plain,
( spl35_425
<=> ! [X0] :
( ~ v3_tops_1(sK24(X0),X0)
| ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_425])]) ).
fof(f3236,plain,
( ! [X0] :
( ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0)) )
| ~ spl35_351
| ~ spl35_425 ),
inference(duplicate_literal_removal,[],[f3235]) ).
fof(f3235,plain,
( ! [X0] :
( ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_351
| ~ spl35_425 ),
inference(resolution,[],[f3205,f2832]) ).
fof(f2832,plain,
( ! [X0] :
( v3_tops_1(sK24(X0),X0)
| ~ v1_xboole_0(sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_351 ),
inference(avatar_component_clause,[],[f2831]) ).
fof(f3205,plain,
( ! [X0] :
( ~ v3_tops_1(sK24(X0),X0)
| ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_425 ),
inference(avatar_component_clause,[],[f3204]) ).
fof(f4033,plain,
( spl35_572
| ~ spl35_350
| ~ spl35_424 ),
inference(avatar_split_clause,[],[f3234,f3200,f2827,f4031]) ).
fof(f2827,plain,
( spl35_350
<=> ! [X0] :
( ~ v1_xboole_0(sK25(X0))
| v3_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_350])]) ).
fof(f3200,plain,
( spl35_424
<=> ! [X0] :
( ~ v3_tops_1(sK25(X0),X0)
| ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_424])]) ).
fof(f3234,plain,
( ! [X0] :
( ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0)) )
| ~ spl35_350
| ~ spl35_424 ),
inference(duplicate_literal_removal,[],[f3233]) ).
fof(f3233,plain,
( ! [X0] :
( ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_350
| ~ spl35_424 ),
inference(resolution,[],[f3201,f2828]) ).
fof(f2828,plain,
( ! [X0] :
( v3_tops_1(sK25(X0),X0)
| ~ v1_xboole_0(sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_350 ),
inference(avatar_component_clause,[],[f2827]) ).
fof(f3201,plain,
( ! [X0] :
( ~ v3_tops_1(sK25(X0),X0)
| ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_424 ),
inference(avatar_component_clause,[],[f3200]) ).
fof(f4029,plain,
( spl35_571
| ~ spl35_349
| ~ spl35_423 ),
inference(avatar_split_clause,[],[f3232,f3196,f2823,f4027]) ).
fof(f2823,plain,
( spl35_349
<=> ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v3_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_349])]) ).
fof(f3196,plain,
( spl35_423
<=> ! [X0] :
( ~ v3_tops_1(sK26(X0),X0)
| ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_423])]) ).
fof(f3232,plain,
( ! [X0] :
( ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0)) )
| ~ spl35_349
| ~ spl35_423 ),
inference(duplicate_literal_removal,[],[f3231]) ).
fof(f3231,plain,
( ! [X0] :
( ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_349
| ~ spl35_423 ),
inference(resolution,[],[f3197,f2824]) ).
fof(f2824,plain,
( ! [X0] :
( v3_tops_1(sK26(X0),X0)
| ~ v1_xboole_0(sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_349 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f3197,plain,
( ! [X0] :
( ~ v3_tops_1(sK26(X0),X0)
| ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_423 ),
inference(avatar_component_clause,[],[f3196]) ).
fof(f4025,plain,
( spl35_570
| ~ spl35_438
| ~ spl35_515 ),
inference(avatar_split_clause,[],[f3941,f3767,f3279,f4023]) ).
fof(f4023,plain,
( spl35_570
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sP5(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_570])]) ).
fof(f3279,plain,
( spl35_438
<=> ! [X0] :
( ~ v5_membered(X0)
| sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_438])]) ).
fof(f3767,plain,
( spl35_515
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v5_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_515])]) ).
fof(f3941,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sP5(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_438
| ~ spl35_515 ),
inference(resolution,[],[f3768,f3280]) ).
fof(f3280,plain,
( ! [X0] :
( ~ v5_membered(X0)
| sP5(X0) )
| ~ spl35_438 ),
inference(avatar_component_clause,[],[f3279]) ).
fof(f3768,plain,
( ! [X0] :
( v5_membered(sK27(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl35_515 ),
inference(avatar_component_clause,[],[f3767]) ).
fof(f4021,plain,
( spl35_569
| ~ spl35_107
| ~ spl35_415 ),
inference(avatar_split_clause,[],[f3178,f3161,f1012,f4019]) ).
fof(f3178,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) )
| ~ spl35_107
| ~ spl35_415 ),
inference(resolution,[],[f3162,f1013]) ).
fof(f4017,plain,
( spl35_568
| ~ spl35_227
| ~ spl35_409 ),
inference(avatar_split_clause,[],[f3158,f3122,f2135,f4015]) ).
fof(f3158,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK22(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0)) )
| ~ spl35_227
| ~ spl35_409 ),
inference(resolution,[],[f3123,f2136]) ).
fof(f4013,plain,
( spl35_567
| ~ spl35_227
| ~ spl35_408 ),
inference(avatar_split_clause,[],[f3157,f3118,f2135,f4011]) ).
fof(f3157,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(sK27(sK21(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0)) )
| ~ spl35_227
| ~ spl35_408 ),
inference(resolution,[],[f3119,f2136]) ).
fof(f4009,plain,
( spl35_566
| ~ spl35_174
| ~ spl35_357 ),
inference(avatar_split_clause,[],[f3008,f2866,f1478,f4007]) ).
fof(f1478,plain,
( spl35_174
<=> ! [X0,X1] :
( m2_relset_1(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_174])]) ).
fof(f2866,plain,
( spl35_357
<=> ! [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,[spl35_357])]) ).
fof(f3008,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK20(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ sP8(X1,X2) )
| ~ spl35_174
| ~ spl35_357 ),
inference(resolution,[],[f2867,f1479]) ).
fof(f1479,plain,
( ! [X0,X1] :
( m2_relset_1(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP8(X0,X1) )
| ~ spl35_174 ),
inference(avatar_component_clause,[],[f1478]) ).
fof(f2867,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl35_357 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f4005,plain,
( spl35_565
| ~ spl35_172
| ~ spl35_357 ),
inference(avatar_split_clause,[],[f3007,f2866,f1470,f4003]) ).
fof(f1470,plain,
( spl35_172
<=> ! [X0,X1] :
( m2_relset_1(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_172])]) ).
fof(f3007,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK19(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X1)))
| ~ sP7(X1,X2) )
| ~ spl35_172
| ~ spl35_357 ),
inference(resolution,[],[f2867,f1471]) ).
fof(f1471,plain,
( ! [X0,X1] :
( m2_relset_1(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP7(X0,X1) )
| ~ spl35_172 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f3992,plain,
( spl35_564
| ~ spl35_97
| ~ spl35_442 ),
inference(avatar_split_clause,[],[f3321,f3295,f967,f3990]) ).
fof(f3990,plain,
( spl35_564
<=> ! [X0] :
( ~ v4_pre_topc(sK17(X0),X0)
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_564])]) ).
fof(f3295,plain,
( spl35_442
<=> ! [X0] :
( ~ v2_tops_1(sK17(X0),X0)
| ~ v4_pre_topc(sK17(X0),X0)
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_442])]) ).
fof(f3321,plain,
( ! [X0] :
( ~ v4_pre_topc(sK17(X0),X0)
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_97
| ~ spl35_442 ),
inference(duplicate_literal_removal,[],[f3318]) ).
fof(f3318,plain,
( ! [X0] :
( ~ v4_pre_topc(sK17(X0),X0)
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0)
| ~ sP4(X0) )
| ~ spl35_97
| ~ spl35_442 ),
inference(resolution,[],[f3296,f968]) ).
fof(f3296,plain,
( ! [X0] :
( ~ v2_tops_1(sK17(X0),X0)
| ~ v4_pre_topc(sK17(X0),X0)
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_442 ),
inference(avatar_component_clause,[],[f3295]) ).
fof(f3988,plain,
( spl35_563
| ~ spl35_105
| ~ spl35_439 ),
inference(avatar_split_clause,[],[f3313,f3283,f999,f3986]) ).
fof(f999,plain,
( spl35_105
<=> ! [X0] :
( v3_tops_1(sK23(X0),X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_105])]) ).
fof(f3283,plain,
( spl35_439
<=> ! [X0] :
( ~ v3_tops_1(sK23(X0),X0)
| ~ v3_pre_topc(sK23(X0),X0)
| sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_439])]) ).
fof(f3313,plain,
( ! [X0] :
( ~ v3_pre_topc(sK23(X0),X0)
| sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) )
| ~ spl35_105
| ~ spl35_439 ),
inference(duplicate_literal_removal,[],[f3310]) ).
fof(f3310,plain,
( ! [X0] :
( ~ v3_pre_topc(sK23(X0),X0)
| sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0)
| ~ sP11(X0) )
| ~ spl35_105
| ~ spl35_439 ),
inference(resolution,[],[f3284,f1000]) ).
fof(f1000,plain,
( ! [X0] :
( v3_tops_1(sK23(X0),X0)
| ~ sP11(X0) )
| ~ spl35_105 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f3284,plain,
( ! [X0] :
( ~ v3_tops_1(sK23(X0),X0)
| ~ v3_pre_topc(sK23(X0),X0)
| sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) )
| ~ spl35_439 ),
inference(avatar_component_clause,[],[f3283]) ).
fof(f3984,plain,
( spl35_562
| ~ spl35_107
| ~ spl35_407 ),
inference(avatar_split_clause,[],[f3156,f3114,f1012,f3982]) ).
fof(f3982,plain,
( spl35_562
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_562])]) ).
fof(f3114,plain,
( spl35_407
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK26(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_407])]) ).
fof(f3156,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK26(X0)) )
| ~ spl35_107
| ~ spl35_407 ),
inference(resolution,[],[f3115,f1013]) ).
fof(f3115,plain,
( ! [X0] :
( r2_hidden(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_407 ),
inference(avatar_component_clause,[],[f3114]) ).
fof(f3980,plain,
( spl35_561
| ~ spl35_107
| ~ spl35_406 ),
inference(avatar_split_clause,[],[f3153,f3110,f1012,f3978]) ).
fof(f3978,plain,
( spl35_561
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_561])]) ).
fof(f3110,plain,
( spl35_406
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK25(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_406])]) ).
fof(f3153,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK25(X0)) )
| ~ spl35_107
| ~ spl35_406 ),
inference(resolution,[],[f3111,f1013]) ).
fof(f3111,plain,
( ! [X0] :
( r2_hidden(sK25(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_406 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f3976,plain,
( spl35_560
| ~ spl35_107
| ~ spl35_405 ),
inference(avatar_split_clause,[],[f3150,f3106,f1012,f3974]) ).
fof(f3974,plain,
( spl35_560
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_560])]) ).
fof(f3106,plain,
( spl35_405
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_405])]) ).
fof(f3150,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK24(X0)) )
| ~ spl35_107
| ~ spl35_405 ),
inference(resolution,[],[f3107,f1013]) ).
fof(f3107,plain,
( ! [X0] :
( r2_hidden(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl35_405 ),
inference(avatar_component_clause,[],[f3106]) ).
fof(f3971,plain,
( spl35_559
| ~ spl35_107
| ~ spl35_404 ),
inference(avatar_split_clause,[],[f3147,f3102,f1012,f3969]) ).
fof(f3969,plain,
( spl35_559
<=> ! [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)),sK18(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_559])]) ).
fof(f3102,plain,
( spl35_404
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK18(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_404])]) ).
fof(f3147,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)),sK18(X0)) )
| ~ spl35_107
| ~ spl35_404 ),
inference(resolution,[],[f3103,f1013]) ).
fof(f3103,plain,
( ! [X0] :
( r2_hidden(sK18(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) )
| ~ spl35_404 ),
inference(avatar_component_clause,[],[f3102]) ).
fof(f3967,plain,
( spl35_558
| ~ spl35_174
| ~ spl35_342 ),
inference(avatar_split_clause,[],[f2851,f2795,f1478,f3965]) ).
fof(f3965,plain,
( spl35_558
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r2_hidden(X2,sK20(X1,X0))
| ~ sP8(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_558])]) ).
fof(f2795,plain,
( spl35_342
<=> ! [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,[spl35_342])]) ).
fof(f2851,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r2_hidden(X2,sK20(X1,X0))
| ~ sP8(X1,X0) )
| ~ spl35_174
| ~ spl35_342 ),
inference(resolution,[],[f2796,f1479]) ).
fof(f2796,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl35_342 ),
inference(avatar_component_clause,[],[f2795]) ).
fof(f3963,plain,
( spl35_557
| ~ spl35_172
| ~ spl35_342 ),
inference(avatar_split_clause,[],[f2850,f2795,f1470,f3961]) ).
fof(f3961,plain,
( spl35_557
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r2_hidden(X2,sK19(X1,X0))
| ~ sP7(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_557])]) ).
fof(f2850,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X1)))
| ~ r2_hidden(X2,sK19(X1,X0))
| ~ sP7(X1,X0) )
| ~ spl35_172
| ~ spl35_342 ),
inference(resolution,[],[f2796,f1471]) ).
fof(f3959,plain,
( spl35_556
| ~ spl35_184
| ~ spl35_214 ),
inference(avatar_split_clause,[],[f2163,f2082,f1572,f3957]) ).
fof(f3957,plain,
( spl35_556
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| v2_t_0topsp(sK16(X0))
| v3_struct_0(sK16(X0))
| ~ v2_tsp_2(sK16(X0),X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_556])]) ).
fof(f1572,plain,
( spl35_184
<=> ! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_184])]) ).
fof(f2163,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v2_t_0topsp(sK16(X0))
| v3_struct_0(sK16(X0))
| ~ v2_tsp_2(sK16(X0),X0)
| v3_struct_0(X0) )
| ~ spl35_184
| ~ spl35_214 ),
inference(duplicate_literal_removal,[],[f2154]) ).
fof(f2154,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v2_t_0topsp(sK16(X0))
| v3_struct_0(sK16(X0))
| ~ v2_tsp_2(sK16(X0),X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_184
| ~ spl35_214 ),
inference(resolution,[],[f2083,f1573]) ).
fof(f1573,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_184 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f3955,plain,
( spl35_555
| ~ spl35_189
| ~ spl35_214 ),
inference(avatar_split_clause,[],[f2161,f2082,f1655,f3953]) ).
fof(f3953,plain,
( spl35_555
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| v2_t_0topsp(sK16(X0))
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_555])]) ).
fof(f1655,plain,
( spl35_189
<=> ! [X0,X1] :
( v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_189])]) ).
fof(f2161,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| v2_t_0topsp(sK16(X0))
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_189
| ~ spl35_214 ),
inference(duplicate_literal_removal,[],[f2156]) ).
fof(f2156,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(sK16(X0))
| v2_t_0topsp(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_189
| ~ spl35_214 ),
inference(resolution,[],[f2083,f1656]) ).
fof(f1656,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| v2_t_0topsp(X1)
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_189 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f3938,plain,
( spl35_554
| ~ spl35_227
| ~ spl35_361 ),
inference(avatar_split_clause,[],[f3014,f2882,f2135,f3936]) ).
fof(f3014,plain,
( ! [X0] :
( m1_subset_1(sK27(sK26(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK26(X0)) )
| ~ spl35_227
| ~ spl35_361 ),
inference(resolution,[],[f2883,f2136]) ).
fof(f3934,plain,
( spl35_553
| ~ spl35_227
| ~ spl35_360 ),
inference(avatar_split_clause,[],[f3013,f2878,f2135,f3932]) ).
fof(f3013,plain,
( ! [X0] :
( m1_subset_1(sK27(sK25(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK25(X0)) )
| ~ spl35_227
| ~ spl35_360 ),
inference(resolution,[],[f2879,f2136]) ).
fof(f3930,plain,
( spl35_552
| ~ spl35_227
| ~ spl35_359 ),
inference(avatar_split_clause,[],[f3012,f2874,f2135,f3928]) ).
fof(f3012,plain,
( ! [X0] :
( m1_subset_1(sK27(sK24(X0)),u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(sK24(X0)) )
| ~ spl35_227
| ~ spl35_359 ),
inference(resolution,[],[f2875,f2136]) ).
fof(f3926,plain,
( spl35_551
| ~ spl35_227
| ~ spl35_358 ),
inference(avatar_split_clause,[],[f3011,f2870,f2135,f3924]) ).
fof(f3011,plain,
( ! [X0] :
( m1_subset_1(sK27(sK18(X0)),u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(sK18(X0)) )
| ~ spl35_227
| ~ spl35_358 ),
inference(resolution,[],[f2871,f2136]) ).
fof(f3922,plain,
( spl35_550
| ~ spl35_174
| ~ spl35_333 ),
inference(avatar_split_clause,[],[f2773,f2700,f1478,f3920]) ).
fof(f3920,plain,
( spl35_550
<=> ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v1_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_550])]) ).
fof(f2700,plain,
( spl35_333
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v1_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_333])]) ).
fof(f2773,plain,
( ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v1_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_333 ),
inference(resolution,[],[f2701,f1479]) ).
fof(f2701,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v1_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_333 ),
inference(avatar_component_clause,[],[f2700]) ).
fof(f3918,plain,
( spl35_549
| ~ spl35_172
| ~ spl35_333 ),
inference(avatar_split_clause,[],[f2772,f2700,f1470,f3916]) ).
fof(f3916,plain,
( spl35_549
<=> ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v1_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_549])]) ).
fof(f2772,plain,
( ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v1_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_333 ),
inference(resolution,[],[f2701,f1471]) ).
fof(f3914,plain,
( spl35_548
| ~ spl35_174
| ~ spl35_332 ),
inference(avatar_split_clause,[],[f2764,f2696,f1478,f3912]) ).
fof(f3912,plain,
( spl35_548
<=> ! [X0,X1] :
( v2_membered(sK20(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_548])]) ).
fof(f2696,plain,
( spl35_332
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v2_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_332])]) ).
fof(f2764,plain,
( ! [X0,X1] :
( v2_membered(sK20(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_332 ),
inference(resolution,[],[f2697,f1479]) ).
fof(f2697,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v2_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_332 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f3910,plain,
( spl35_547
| ~ spl35_172
| ~ spl35_332 ),
inference(avatar_split_clause,[],[f2763,f2696,f1470,f3908]) ).
fof(f3908,plain,
( spl35_547
<=> ! [X0,X1] :
( v2_membered(sK19(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_547])]) ).
fof(f2763,plain,
( ! [X0,X1] :
( v2_membered(sK19(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_332 ),
inference(resolution,[],[f2697,f1471]) ).
fof(f3906,plain,
( spl35_546
| ~ spl35_59
| ~ spl35_502 ),
inference(avatar_split_clause,[],[f3700,f3663,f782,f3904]) ).
fof(f3904,plain,
( spl35_546
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_546])]) ).
fof(f782,plain,
( spl35_59
<=> ! [X0] :
( v1_membered(X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_59])]) ).
fof(f3663,plain,
( spl35_502
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sP6(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_502])]) ).
fof(f3700,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_59
| ~ spl35_502 ),
inference(resolution,[],[f3664,f783]) ).
fof(f783,plain,
( ! [X0] :
( ~ sP6(X0)
| v1_membered(X0) )
| ~ spl35_59 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f3664,plain,
( ! [X0] :
( sP6(sK27(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl35_502 ),
inference(avatar_component_clause,[],[f3663]) ).
fof(f3902,plain,
( spl35_545
| ~ spl35_174
| ~ spl35_330 ),
inference(avatar_split_clause,[],[f2760,f2687,f1478,f3900]) ).
fof(f3900,plain,
( spl35_545
<=> ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_545])]) ).
fof(f2687,plain,
( spl35_330
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v2_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_330])]) ).
fof(f2760,plain,
( ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_330 ),
inference(resolution,[],[f2688,f1479]) ).
fof(f2688,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v2_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_330 ),
inference(avatar_component_clause,[],[f2687]) ).
fof(f3898,plain,
( spl35_544
| ~ spl35_172
| ~ spl35_330 ),
inference(avatar_split_clause,[],[f2759,f2687,f1470,f3896]) ).
fof(f3896,plain,
( spl35_544
<=> ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_544])]) ).
fof(f2759,plain,
( ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v2_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_330 ),
inference(resolution,[],[f2688,f1471]) ).
fof(f3894,plain,
( spl35_543
| ~ spl35_174
| ~ spl35_329 ),
inference(avatar_split_clause,[],[f2756,f2683,f1478,f3892]) ).
fof(f3892,plain,
( spl35_543
<=> ! [X0,X1] :
( v3_membered(sK20(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_543])]) ).
fof(f2683,plain,
( spl35_329
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v3_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_329])]) ).
fof(f2756,plain,
( ! [X0,X1] :
( v3_membered(sK20(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_329 ),
inference(resolution,[],[f2684,f1479]) ).
fof(f2684,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v3_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_329 ),
inference(avatar_component_clause,[],[f2683]) ).
fof(f3890,plain,
( spl35_542
| ~ spl35_172
| ~ spl35_329 ),
inference(avatar_split_clause,[],[f2755,f2683,f1470,f3888]) ).
fof(f3888,plain,
( spl35_542
<=> ! [X0,X1] :
( v3_membered(sK19(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_542])]) ).
fof(f2755,plain,
( ! [X0,X1] :
( v3_membered(sK19(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_329 ),
inference(resolution,[],[f2684,f1471]) ).
fof(f3886,plain,
( spl35_541
| ~ spl35_174
| ~ spl35_328 ),
inference(avatar_split_clause,[],[f2752,f2679,f1478,f3884]) ).
fof(f3884,plain,
( spl35_541
<=> ! [X0,X1] :
( v2_membered(sK20(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_541])]) ).
fof(f2679,plain,
( spl35_328
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_328])]) ).
fof(f2752,plain,
( ! [X0,X1] :
( v2_membered(sK20(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_328 ),
inference(resolution,[],[f2680,f1479]) ).
fof(f2680,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_328 ),
inference(avatar_component_clause,[],[f2679]) ).
fof(f3882,plain,
( spl35_540
| ~ spl35_172
| ~ spl35_328 ),
inference(avatar_split_clause,[],[f2751,f2679,f1470,f3880]) ).
fof(f3880,plain,
( spl35_540
<=> ! [X0,X1] :
( v2_membered(sK19(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_540])]) ).
fof(f2751,plain,
( ! [X0,X1] :
( v2_membered(sK19(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_328 ),
inference(resolution,[],[f2680,f1471]) ).
fof(f3878,plain,
( spl35_539
| ~ spl35_174
| ~ spl35_327 ),
inference(avatar_split_clause,[],[f2748,f2675,f1478,f3876]) ).
fof(f3876,plain,
( spl35_539
<=> ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_539])]) ).
fof(f2675,plain,
( spl35_327
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_327])]) ).
fof(f2748,plain,
( ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_327 ),
inference(resolution,[],[f2676,f1479]) ).
fof(f2676,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_327 ),
inference(avatar_component_clause,[],[f2675]) ).
fof(f3874,plain,
( spl35_538
| ~ spl35_172
| ~ spl35_327 ),
inference(avatar_split_clause,[],[f2747,f2675,f1470,f3872]) ).
fof(f3872,plain,
( spl35_538
<=> ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_538])]) ).
fof(f2747,plain,
( ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v3_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_327 ),
inference(resolution,[],[f2676,f1471]) ).
fof(f3870,plain,
( spl35_537
| ~ spl35_174
| ~ spl35_326 ),
inference(avatar_split_clause,[],[f2744,f2671,f1478,f3868]) ).
fof(f3868,plain,
( spl35_537
<=> ! [X0,X1] :
( v4_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_537])]) ).
fof(f2671,plain,
( spl35_326
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v4_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_326])]) ).
fof(f2744,plain,
( ! [X0,X1] :
( v4_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_326 ),
inference(resolution,[],[f2672,f1479]) ).
fof(f2672,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v4_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_326 ),
inference(avatar_component_clause,[],[f2671]) ).
fof(f3866,plain,
( spl35_536
| ~ spl35_172
| ~ spl35_326 ),
inference(avatar_split_clause,[],[f2743,f2671,f1470,f3864]) ).
fof(f3864,plain,
( spl35_536
<=> ! [X0,X1] :
( v4_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_536])]) ).
fof(f2743,plain,
( ! [X0,X1] :
( v4_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_326 ),
inference(resolution,[],[f2672,f1471]) ).
fof(f3862,plain,
( spl35_535
| ~ spl35_60
| ~ spl35_502 ),
inference(avatar_split_clause,[],[f3699,f3663,f786,f3860]) ).
fof(f3860,plain,
( spl35_535
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v2_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_535])]) ).
fof(f786,plain,
( spl35_60
<=> ! [X0] :
( v2_membered(X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_60])]) ).
fof(f3699,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v2_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_60
| ~ spl35_502 ),
inference(resolution,[],[f3664,f787]) ).
fof(f787,plain,
( ! [X0] :
( ~ sP6(X0)
| v2_membered(X0) )
| ~ spl35_60 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f3858,plain,
( spl35_534
| ~ spl35_174
| ~ spl35_325 ),
inference(avatar_split_clause,[],[f2740,f2667,f1478,f3856]) ).
fof(f3856,plain,
( spl35_534
<=> ! [X0,X1] :
( v3_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_534])]) ).
fof(f2667,plain,
( spl35_325
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v3_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_325])]) ).
fof(f2740,plain,
( ! [X0,X1] :
( v3_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_325 ),
inference(resolution,[],[f2668,f1479]) ).
fof(f2668,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v3_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_325 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f3854,plain,
( spl35_533
| ~ spl35_172
| ~ spl35_325 ),
inference(avatar_split_clause,[],[f2739,f2667,f1470,f3852]) ).
fof(f3852,plain,
( spl35_533
<=> ! [X0,X1] :
( v3_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_533])]) ).
fof(f2739,plain,
( ! [X0,X1] :
( v3_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_325 ),
inference(resolution,[],[f2668,f1471]) ).
fof(f3850,plain,
( spl35_532
| ~ spl35_174
| ~ spl35_324 ),
inference(avatar_split_clause,[],[f2736,f2663,f1478,f3848]) ).
fof(f3848,plain,
( spl35_532
<=> ! [X0,X1] :
( v2_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_532])]) ).
fof(f2663,plain,
( spl35_324
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_324])]) ).
fof(f2736,plain,
( ! [X0,X1] :
( v2_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_324 ),
inference(resolution,[],[f2664,f1479]) ).
fof(f2664,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_324 ),
inference(avatar_component_clause,[],[f2663]) ).
fof(f3846,plain,
( spl35_531
| ~ spl35_172
| ~ spl35_324 ),
inference(avatar_split_clause,[],[f2735,f2663,f1470,f3844]) ).
fof(f3844,plain,
( spl35_531
<=> ! [X0,X1] :
( v2_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_531])]) ).
fof(f2735,plain,
( ! [X0,X1] :
( v2_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_324 ),
inference(resolution,[],[f2664,f1471]) ).
fof(f3842,plain,
( spl35_530
| ~ spl35_174
| ~ spl35_323 ),
inference(avatar_split_clause,[],[f2732,f2659,f1478,f3840]) ).
fof(f3840,plain,
( spl35_530
<=> ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_530])]) ).
fof(f2659,plain,
( spl35_323
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_323])]) ).
fof(f2732,plain,
( ! [X0,X1] :
( v1_membered(sK20(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_323 ),
inference(resolution,[],[f2660,f1479]) ).
fof(f2660,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_323 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f3838,plain,
( spl35_529
| ~ spl35_172
| ~ spl35_323 ),
inference(avatar_split_clause,[],[f2731,f2659,f1470,f3836]) ).
fof(f3836,plain,
( spl35_529
<=> ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_529])]) ).
fof(f2731,plain,
( ! [X0,X1] :
( v1_membered(sK19(X0,X1))
| ~ v4_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_323 ),
inference(resolution,[],[f2660,f1471]) ).
fof(f3834,plain,
( spl35_528
| ~ spl35_174
| ~ spl35_322 ),
inference(avatar_split_clause,[],[f2728,f2655,f1478,f3832]) ).
fof(f3832,plain,
( spl35_528
<=> ! [X0,X1] :
( sP5(sK20(X0,X1))
| ~ v5_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_528])]) ).
fof(f2655,plain,
( spl35_322
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| sP5(X0)
| ~ v5_membered(k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_322])]) ).
fof(f2728,plain,
( ! [X0,X1] :
( sP5(sK20(X0,X1))
| ~ v5_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP8(X0,X1) )
| ~ spl35_174
| ~ spl35_322 ),
inference(resolution,[],[f2656,f1479]) ).
fof(f2656,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| sP5(X0)
| ~ v5_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_322 ),
inference(avatar_component_clause,[],[f2655]) ).
fof(f3830,plain,
( spl35_527
| ~ spl35_172
| ~ spl35_322 ),
inference(avatar_split_clause,[],[f2727,f2655,f1470,f3828]) ).
fof(f3828,plain,
( spl35_527
<=> ! [X0,X1] :
( sP5(sK19(X0,X1))
| ~ v5_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_527])]) ).
fof(f2727,plain,
( ! [X0,X1] :
( sP5(sK19(X0,X1))
| ~ v5_membered(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X0)))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_322 ),
inference(resolution,[],[f2656,f1471]) ).
fof(f3826,plain,
( spl35_526
| ~ spl35_185
| ~ spl35_214 ),
inference(avatar_split_clause,[],[f2162,f2082,f1576,f3824]) ).
fof(f1576,plain,
( spl35_185
<=> ! [X0,X1] :
( sP9(X0,X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_185])]) ).
fof(f2162,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP9(X0,sK16(X0))
| v3_struct_0(sK16(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_185
| ~ spl35_214 ),
inference(duplicate_literal_removal,[],[f2155]) ).
fof(f2155,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP9(X0,sK16(X0))
| v3_struct_0(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_185
| ~ spl35_214 ),
inference(resolution,[],[f2083,f1577]) ).
fof(f1577,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| sP9(X0,X1)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_185 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f3820,plain,
( spl35_525
| ~ spl35_61
| ~ spl35_502 ),
inference(avatar_split_clause,[],[f3698,f3663,f790,f3818]) ).
fof(f3818,plain,
( spl35_525
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v3_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_525])]) ).
fof(f790,plain,
( spl35_61
<=> ! [X0] :
( v3_membered(X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_61])]) ).
fof(f3698,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v3_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_61
| ~ spl35_502 ),
inference(resolution,[],[f3664,f791]) ).
fof(f791,plain,
( ! [X0] :
( ~ sP6(X0)
| v3_membered(X0) )
| ~ spl35_61 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f3811,plain,
( spl35_524
| ~ spl35_26
| ~ spl35_412 ),
inference(avatar_split_clause,[],[f3159,f3134,f650,f3809]) ).
fof(f3809,plain,
( spl35_524
<=> ! [X0] :
( v2_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_tops_1(u1_struct_0(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_524])]) ).
fof(f3134,plain,
( spl35_412
<=> ! [X0,X1] :
( ~ v3_tops_1(X0,X1)
| v2_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_412])]) ).
fof(f3159,plain,
( ! [X0] :
( v2_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v3_tops_1(u1_struct_0(X0),X0) )
| ~ spl35_26
| ~ spl35_412 ),
inference(resolution,[],[f3135,f651]) ).
fof(f3135,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| v2_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v3_tops_1(X0,X1) )
| ~ spl35_412 ),
inference(avatar_component_clause,[],[f3134]) ).
fof(f3807,plain,
( spl35_523
| ~ spl35_227
| ~ spl35_393 ),
inference(avatar_split_clause,[],[f3085,f3040,f2135,f3805]) ).
fof(f3805,plain,
( spl35_523
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_523])]) ).
fof(f3040,plain,
( spl35_393
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK22(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_393])]) ).
fof(f3085,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK22(X0)) )
| ~ spl35_227
| ~ spl35_393 ),
inference(resolution,[],[f3041,f2136]) ).
fof(f3041,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK22(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_393 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3803,plain,
( spl35_522
| ~ spl35_227
| ~ spl35_392 ),
inference(avatar_split_clause,[],[f3075,f3036,f2135,f3801]) ).
fof(f3801,plain,
( spl35_522
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_522])]) ).
fof(f3036,plain,
( spl35_392
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK21(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_392])]) ).
fof(f3075,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK21(X0)) )
| ~ spl35_227
| ~ spl35_392 ),
inference(resolution,[],[f3037,f2136]) ).
fof(f3037,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK21(X0))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_392 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3799,plain,
( spl35_521
| ~ spl35_107
| ~ spl35_356 ),
inference(avatar_split_clause,[],[f3004,f2862,f1012,f3797]) ).
fof(f3797,plain,
( spl35_521
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK23(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_521])]) ).
fof(f2862,plain,
( spl35_356
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_356])]) ).
fof(f3004,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK23(X0)) )
| ~ spl35_107
| ~ spl35_356 ),
inference(resolution,[],[f2863,f1013]) ).
fof(f2863,plain,
( ! [X0] :
( r2_hidden(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0) )
| ~ spl35_356 ),
inference(avatar_component_clause,[],[f2862]) ).
fof(f3795,plain,
( spl35_520
| ~ spl35_107
| ~ spl35_355 ),
inference(avatar_split_clause,[],[f2999,f2858,f1012,f3793]) ).
fof(f3793,plain,
( spl35_520
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_520])]) ).
fof(f2858,plain,
( spl35_355
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_355])]) ).
fof(f2999,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0)
| ~ r2_hidden(k1_zfmisc_1(u1_struct_0(X0)),sK17(X0)) )
| ~ spl35_107
| ~ spl35_355 ),
inference(resolution,[],[f2859,f1013]) ).
fof(f2859,plain,
( ! [X0] :
( r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0) )
| ~ spl35_355 ),
inference(avatar_component_clause,[],[f2858]) ).
fof(f3791,plain,
( spl35_519
| ~ spl35_62
| ~ spl35_502 ),
inference(avatar_split_clause,[],[f3697,f3663,f794,f3789]) ).
fof(f3789,plain,
( spl35_519
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v4_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_519])]) ).
fof(f794,plain,
( spl35_62
<=> ! [X0] :
( v4_membered(X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_62])]) ).
fof(f3697,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v4_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_62
| ~ spl35_502 ),
inference(resolution,[],[f3664,f795]) ).
fof(f795,plain,
( ! [X0] :
( ~ sP6(X0)
| v4_membered(X0) )
| ~ spl35_62 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f3787,plain,
( spl35_518
| ~ spl35_26
| ~ spl35_399 ),
inference(avatar_split_clause,[],[f3094,f3064,f650,f3785]) ).
fof(f3785,plain,
( spl35_518
<=> ! [X0] :
( v4_pre_topc(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_518])]) ).
fof(f3064,plain,
( spl35_399
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v4_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_399])]) ).
fof(f3094,plain,
( ! [X0] :
( v4_pre_topc(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_26
| ~ spl35_399 ),
inference(resolution,[],[f3065,f651]) ).
fof(f3065,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| v4_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(X0) )
| ~ spl35_399 ),
inference(avatar_component_clause,[],[f3064]) ).
fof(f3783,plain,
( spl35_517
| ~ spl35_26
| ~ spl35_397 ),
inference(avatar_split_clause,[],[f3091,f3056,f650,f3781]) ).
fof(f3056,plain,
( spl35_397
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v3_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_397])]) ).
fof(f3091,plain,
( ! [X0] :
( v3_pre_topc(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_26
| ~ spl35_397 ),
inference(resolution,[],[f3057,f651]) ).
fof(f3057,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| v3_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(X0) )
| ~ spl35_397 ),
inference(avatar_component_clause,[],[f3056]) ).
fof(f3779,plain,
( spl35_516
| ~ spl35_26
| ~ spl35_395 ),
inference(avatar_split_clause,[],[f3088,f3048,f650,f3777]) ).
fof(f3048,plain,
( spl35_395
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v3_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_395])]) ).
fof(f3088,plain,
( ! [X0] :
( v3_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_26
| ~ spl35_395 ),
inference(resolution,[],[f3049,f651]) ).
fof(f3049,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| v3_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_xboole_0(X0) )
| ~ spl35_395 ),
inference(avatar_component_clause,[],[f3048]) ).
fof(f3769,plain,
( spl35_515
| ~ spl35_63
| ~ spl35_502 ),
inference(avatar_split_clause,[],[f3696,f3663,f798,f3767]) ).
fof(f798,plain,
( spl35_63
<=> ! [X0] :
( v5_membered(X0)
| ~ sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_63])]) ).
fof(f3696,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v5_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_63
| ~ spl35_502 ),
inference(resolution,[],[f3664,f799]) ).
fof(f799,plain,
( ! [X0] :
( ~ sP6(X0)
| v5_membered(X0) )
| ~ spl35_63 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f3720,plain,
( spl35_514
| ~ spl35_270
| ~ spl35_401 ),
inference(avatar_split_clause,[],[f3100,f3072,f2436,f3718]) ).
fof(f2436,plain,
( spl35_270
<=> ! [X0] :
( v3_tops_1(k1_xboole_0,X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_270])]) ).
fof(f3072,plain,
( spl35_401
<=> ! [X0] :
( sP10(X0,k1_xboole_0)
| ~ v3_pre_topc(k1_xboole_0,X0)
| ~ v3_tops_1(k1_xboole_0,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_401])]) ).
fof(f3100,plain,
( ! [X0] :
( ~ v3_pre_topc(k1_xboole_0,X0)
| sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_270
| ~ spl35_401 ),
inference(duplicate_literal_removal,[],[f3097]) ).
fof(f3097,plain,
( ! [X0] :
( ~ v3_pre_topc(k1_xboole_0,X0)
| sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_270
| ~ spl35_401 ),
inference(resolution,[],[f3073,f2437]) ).
fof(f2437,plain,
( ! [X0] :
( v3_tops_1(k1_xboole_0,X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_270 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f3073,plain,
( ! [X0] :
( ~ v3_tops_1(k1_xboole_0,X0)
| ~ v3_pre_topc(k1_xboole_0,X0)
| sP10(X0,k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_401 ),
inference(avatar_component_clause,[],[f3072]) ).
fof(f3716,plain,
( spl35_513
| ~ spl35_110
| ~ spl35_357 ),
inference(avatar_split_clause,[],[f3010,f2866,f1024,f3714]) ).
fof(f1024,plain,
( spl35_110
<=> ! [X0,X1] : m2_relset_1(sK30(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_110])]) ).
fof(f3010,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK30(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl35_110
| ~ spl35_357 ),
inference(resolution,[],[f2867,f1025]) ).
fof(f1025,plain,
( ! [X0,X1] : m2_relset_1(sK30(X0,X1),X0,X1)
| ~ spl35_110 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f3712,plain,
( spl35_512
| ~ spl35_229
| ~ spl35_357 ),
inference(avatar_split_clause,[],[f3009,f2866,f2143,f3710]) ).
fof(f3009,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK29(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl35_229
| ~ spl35_357 ),
inference(resolution,[],[f2867,f2144]) ).
fof(f3708,plain,
( spl35_511
| ~ spl35_227
| ~ spl35_341 ),
inference(avatar_split_clause,[],[f2849,f2791,f2135,f3706]) ).
fof(f3706,plain,
( spl35_511
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_511])]) ).
fof(f2791,plain,
( spl35_341
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK26(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_341])]) ).
fof(f2849,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK26(X0)) )
| ~ spl35_227
| ~ spl35_341 ),
inference(resolution,[],[f2792,f2136]) ).
fof(f2792,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK26(X0))
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_341 ),
inference(avatar_component_clause,[],[f2791]) ).
fof(f3704,plain,
( spl35_510
| ~ spl35_227
| ~ spl35_340 ),
inference(avatar_split_clause,[],[f2843,f2787,f2135,f3702]) ).
fof(f3702,plain,
( spl35_510
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_510])]) ).
fof(f2787,plain,
( spl35_340
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK25(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_340])]) ).
fof(f2843,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK25(X0)) )
| ~ spl35_227
| ~ spl35_340 ),
inference(resolution,[],[f2788,f2136]) ).
fof(f2788,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK25(X0))
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_340 ),
inference(avatar_component_clause,[],[f2787]) ).
fof(f3695,plain,
( spl35_509
| ~ spl35_227
| ~ spl35_339 ),
inference(avatar_split_clause,[],[f2842,f2783,f2135,f3693]) ).
fof(f3693,plain,
( spl35_509
<=> ! [X0] :
( ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_509])]) ).
fof(f2783,plain,
( spl35_339
<=> ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_339])]) ).
fof(f2842,plain,
( ! [X0] :
( ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0)
| v1_xboole_0(sK24(X0)) )
| ~ spl35_227
| ~ spl35_339 ),
inference(resolution,[],[f2784,f2136]) ).
fof(f2784,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK24(X0))
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_339 ),
inference(avatar_component_clause,[],[f2783]) ).
fof(f3691,plain,
( spl35_508
| ~ spl35_107
| ~ spl35_275 ),
inference(avatar_split_clause,[],[f2716,f2465,f1012,f3689]) ).
fof(f3689,plain,
( spl35_508
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_508])]) ).
fof(f2465,plain,
( spl35_275
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK14(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_275])]) ).
fof(f2716,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK14(X0)) )
| ~ spl35_107
| ~ spl35_275 ),
inference(resolution,[],[f2466,f1013]) ).
fof(f2466,plain,
( ! [X0] :
( r2_hidden(sK14(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl35_275 ),
inference(avatar_component_clause,[],[f2465]) ).
fof(f3687,plain,
( spl35_507
| ~ spl35_107
| ~ spl35_274 ),
inference(avatar_split_clause,[],[f2713,f2461,f1012,f3685]) ).
fof(f2713,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl35_107
| ~ spl35_274 ),
inference(resolution,[],[f2462,f1013]) ).
fof(f3683,plain,
( spl35_506
| ~ spl35_227
| ~ spl35_269 ),
inference(avatar_split_clause,[],[f2459,f2432,f2135,f3681]) ).
fof(f2459,plain,
( ! [X0] :
( m1_subset_1(sK27(sK14(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK14(X0)) )
| ~ spl35_227
| ~ spl35_269 ),
inference(resolution,[],[f2433,f2136]) ).
fof(f3679,plain,
( spl35_505
| ~ spl35_227
| ~ spl35_265 ),
inference(avatar_split_clause,[],[f2418,f2392,f2135,f3677]) ).
fof(f2418,plain,
( ! [X0] :
( m1_subset_1(sK27(sK27(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_227
| ~ spl35_265 ),
inference(resolution,[],[f2393,f2136]) ).
fof(f3673,plain,
( spl35_504
| ~ spl35_26
| ~ spl35_345 ),
inference(avatar_split_clause,[],[f2856,f2807,f650,f3671]) ).
fof(f3671,plain,
( spl35_504
<=> ! [X0] :
( v2_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_504])]) ).
fof(f2807,plain,
( spl35_345
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v2_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_345])]) ).
fof(f2856,plain,
( ! [X0] :
( v2_tops_1(u1_struct_0(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_26
| ~ spl35_345 ),
inference(resolution,[],[f2808,f651]) ).
fof(f2808,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| v2_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(X0) )
| ~ spl35_345 ),
inference(avatar_component_clause,[],[f2807]) ).
fof(f3669,plain,
( spl35_503
| ~ spl35_110
| ~ spl35_342 ),
inference(avatar_split_clause,[],[f2853,f2795,f1024,f3667]) ).
fof(f2853,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK30(X0,X1)) )
| ~ spl35_110
| ~ spl35_342 ),
inference(resolution,[],[f2796,f1025]) ).
fof(f3665,plain,
( spl35_502
| ~ spl35_64
| ~ spl35_467 ),
inference(avatar_split_clause,[],[f3497,f3484,f802,f3663]) ).
fof(f802,plain,
( spl35_64
<=> ! [X0] :
( sP6(X0)
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_64])]) ).
fof(f3497,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sP6(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_64
| ~ spl35_467 ),
inference(resolution,[],[f3485,f803]) ).
fof(f803,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sP6(X0) )
| ~ spl35_64 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f3661,plain,
( spl35_501
| ~ spl35_229
| ~ spl35_342 ),
inference(avatar_split_clause,[],[f2852,f2795,f2143,f3659]) ).
fof(f2852,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK29(X0,X1)) )
| ~ spl35_229
| ~ spl35_342 ),
inference(resolution,[],[f2796,f2144]) ).
fof(f3638,plain,
( spl35_500
| ~ spl35_110
| ~ spl35_333 ),
inference(avatar_split_clause,[],[f2775,f2700,f1024,f3636]) ).
fof(f3636,plain,
( spl35_500
<=> ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_500])]) ).
fof(f2775,plain,
( ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_333 ),
inference(resolution,[],[f2701,f1025]) ).
fof(f3634,plain,
( spl35_499
| ~ spl35_229
| ~ spl35_333 ),
inference(avatar_split_clause,[],[f2774,f2700,f2143,f3632]) ).
fof(f3632,plain,
( spl35_499
<=> ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_499])]) ).
fof(f2774,plain,
( ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v1_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_333 ),
inference(resolution,[],[f2701,f2144]) ).
fof(f3630,plain,
( spl35_498
| ~ spl35_110
| ~ spl35_332 ),
inference(avatar_split_clause,[],[f2766,f2696,f1024,f3628]) ).
fof(f3628,plain,
( spl35_498
<=> ! [X0,X1] :
( v2_membered(sK30(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_498])]) ).
fof(f2766,plain,
( ! [X0,X1] :
( v2_membered(sK30(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_332 ),
inference(resolution,[],[f2697,f1025]) ).
fof(f3626,plain,
( spl35_497
| ~ spl35_229
| ~ spl35_332 ),
inference(avatar_split_clause,[],[f2765,f2696,f2143,f3624]) ).
fof(f3624,plain,
( spl35_497
<=> ! [X0,X1] :
( v2_membered(sK29(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_497])]) ).
fof(f2765,plain,
( ! [X0,X1] :
( v2_membered(sK29(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_332 ),
inference(resolution,[],[f2697,f2144]) ).
fof(f3622,plain,
( spl35_496
| ~ spl35_110
| ~ spl35_330 ),
inference(avatar_split_clause,[],[f2762,f2687,f1024,f3620]) ).
fof(f3620,plain,
( spl35_496
<=> ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_496])]) ).
fof(f2762,plain,
( ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_330 ),
inference(resolution,[],[f2688,f1025]) ).
fof(f3618,plain,
( spl35_495
| ~ spl35_91
| ~ spl35_438 ),
inference(avatar_split_clause,[],[f3407,f3279,f928,f3616]) ).
fof(f3616,plain,
( spl35_495
<=> ! [X0] :
( sP5(sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_495])]) ).
fof(f928,plain,
( spl35_91
<=> ! [X0] :
( v5_membered(sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_91])]) ).
fof(f3407,plain,
( ! [X0] :
( sP5(sK23(X0))
| ~ sP11(X0) )
| ~ spl35_91
| ~ spl35_438 ),
inference(resolution,[],[f3280,f929]) ).
fof(f929,plain,
( ! [X0] :
( v5_membered(sK23(X0))
| ~ sP11(X0) )
| ~ spl35_91 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f3614,plain,
( spl35_494
| ~ spl35_229
| ~ spl35_330 ),
inference(avatar_split_clause,[],[f2761,f2687,f2143,f3612]) ).
fof(f3612,plain,
( spl35_494
<=> ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_494])]) ).
fof(f2761,plain,
( ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v2_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_330 ),
inference(resolution,[],[f2688,f2144]) ).
fof(f3610,plain,
( spl35_493
| ~ spl35_110
| ~ spl35_329 ),
inference(avatar_split_clause,[],[f2758,f2683,f1024,f3608]) ).
fof(f3608,plain,
( spl35_493
<=> ! [X0,X1] :
( v3_membered(sK30(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_493])]) ).
fof(f2758,plain,
( ! [X0,X1] :
( v3_membered(sK30(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_329 ),
inference(resolution,[],[f2684,f1025]) ).
fof(f3606,plain,
( spl35_492
| ~ spl35_229
| ~ spl35_329 ),
inference(avatar_split_clause,[],[f2757,f2683,f2143,f3604]) ).
fof(f3604,plain,
( spl35_492
<=> ! [X0,X1] :
( v3_membered(sK29(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_492])]) ).
fof(f2757,plain,
( ! [X0,X1] :
( v3_membered(sK29(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_329 ),
inference(resolution,[],[f2684,f2144]) ).
fof(f3602,plain,
( spl35_491
| ~ spl35_110
| ~ spl35_328 ),
inference(avatar_split_clause,[],[f2754,f2679,f1024,f3600]) ).
fof(f3600,plain,
( spl35_491
<=> ! [X0,X1] :
( v2_membered(sK30(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_491])]) ).
fof(f2754,plain,
( ! [X0,X1] :
( v2_membered(sK30(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_328 ),
inference(resolution,[],[f2680,f1025]) ).
fof(f3598,plain,
( spl35_490
| ~ spl35_229
| ~ spl35_328 ),
inference(avatar_split_clause,[],[f2753,f2679,f2143,f3596]) ).
fof(f3596,plain,
( spl35_490
<=> ! [X0,X1] :
( v2_membered(sK29(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_490])]) ).
fof(f2753,plain,
( ! [X0,X1] :
( v2_membered(sK29(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_328 ),
inference(resolution,[],[f2680,f2144]) ).
fof(f3594,plain,
( spl35_489
| ~ spl35_110
| ~ spl35_327 ),
inference(avatar_split_clause,[],[f2750,f2675,f1024,f3592]) ).
fof(f3592,plain,
( spl35_489
<=> ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_489])]) ).
fof(f2750,plain,
( ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_327 ),
inference(resolution,[],[f2676,f1025]) ).
fof(f3590,plain,
( spl35_488
| ~ spl35_229
| ~ spl35_327 ),
inference(avatar_split_clause,[],[f2749,f2675,f2143,f3588]) ).
fof(f3588,plain,
( spl35_488
<=> ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_488])]) ).
fof(f2749,plain,
( ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v3_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_327 ),
inference(resolution,[],[f2676,f2144]) ).
fof(f3586,plain,
( spl35_487
| ~ spl35_110
| ~ spl35_326 ),
inference(avatar_split_clause,[],[f2746,f2671,f1024,f3584]) ).
fof(f3584,plain,
( spl35_487
<=> ! [X0,X1] :
( v4_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_487])]) ).
fof(f2746,plain,
( ! [X0,X1] :
( v4_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_326 ),
inference(resolution,[],[f2672,f1025]) ).
fof(f3582,plain,
( spl35_486
| ~ spl35_229
| ~ spl35_326 ),
inference(avatar_split_clause,[],[f2745,f2671,f2143,f3580]) ).
fof(f3580,plain,
( spl35_486
<=> ! [X0,X1] :
( v4_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_486])]) ).
fof(f2745,plain,
( ! [X0,X1] :
( v4_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_326 ),
inference(resolution,[],[f2672,f2144]) ).
fof(f3578,plain,
( spl35_485
| ~ spl35_110
| ~ spl35_325 ),
inference(avatar_split_clause,[],[f2742,f2667,f1024,f3576]) ).
fof(f3576,plain,
( spl35_485
<=> ! [X0,X1] :
( v3_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_485])]) ).
fof(f2742,plain,
( ! [X0,X1] :
( v3_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_325 ),
inference(resolution,[],[f2668,f1025]) ).
fof(f3574,plain,
( spl35_484
| ~ spl35_77
| ~ spl35_438 ),
inference(avatar_split_clause,[],[f3406,f3279,f871,f3572]) ).
fof(f3572,plain,
( spl35_484
<=> ! [X0] :
( sP5(sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_484])]) ).
fof(f871,plain,
( spl35_77
<=> ! [X0] :
( v5_membered(sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_77])]) ).
fof(f3406,plain,
( ! [X0] :
( sP5(sK17(X0))
| ~ sP4(X0) )
| ~ spl35_77
| ~ spl35_438 ),
inference(resolution,[],[f3280,f872]) ).
fof(f872,plain,
( ! [X0] :
( v5_membered(sK17(X0))
| ~ sP4(X0) )
| ~ spl35_77 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f3570,plain,
( spl35_483
| ~ spl35_229
| ~ spl35_325 ),
inference(avatar_split_clause,[],[f2741,f2667,f2143,f3568]) ).
fof(f3568,plain,
( spl35_483
<=> ! [X0,X1] :
( v3_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_483])]) ).
fof(f2741,plain,
( ! [X0,X1] :
( v3_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_325 ),
inference(resolution,[],[f2668,f2144]) ).
fof(f3566,plain,
( spl35_482
| ~ spl35_110
| ~ spl35_324 ),
inference(avatar_split_clause,[],[f2738,f2663,f1024,f3564]) ).
fof(f3564,plain,
( spl35_482
<=> ! [X0,X1] :
( v2_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_482])]) ).
fof(f2738,plain,
( ! [X0,X1] :
( v2_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_324 ),
inference(resolution,[],[f2664,f1025]) ).
fof(f3562,plain,
( spl35_481
| ~ spl35_229
| ~ spl35_324 ),
inference(avatar_split_clause,[],[f2737,f2663,f2143,f3560]) ).
fof(f3560,plain,
( spl35_481
<=> ! [X0,X1] :
( v2_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_481])]) ).
fof(f2737,plain,
( ! [X0,X1] :
( v2_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_324 ),
inference(resolution,[],[f2664,f2144]) ).
fof(f3558,plain,
( spl35_480
| ~ spl35_110
| ~ spl35_323 ),
inference(avatar_split_clause,[],[f2734,f2659,f1024,f3556]) ).
fof(f3556,plain,
( spl35_480
<=> ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_480])]) ).
fof(f2734,plain,
( ! [X0,X1] :
( v1_membered(sK30(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_323 ),
inference(resolution,[],[f2660,f1025]) ).
fof(f3554,plain,
( spl35_479
| ~ spl35_229
| ~ spl35_323 ),
inference(avatar_split_clause,[],[f2733,f2659,f2143,f3552]) ).
fof(f3552,plain,
( spl35_479
<=> ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_479])]) ).
fof(f2733,plain,
( ! [X0,X1] :
( v1_membered(sK29(X0,X1))
| ~ v4_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_323 ),
inference(resolution,[],[f2660,f2144]) ).
fof(f3550,plain,
( spl35_478
| ~ spl35_110
| ~ spl35_322 ),
inference(avatar_split_clause,[],[f2730,f2655,f1024,f3548]) ).
fof(f3548,plain,
( spl35_478
<=> ! [X0,X1] :
( sP5(sK30(X0,X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_478])]) ).
fof(f2730,plain,
( ! [X0,X1] :
( sP5(sK30(X0,X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_110
| ~ spl35_322 ),
inference(resolution,[],[f2656,f1025]) ).
fof(f3546,plain,
( spl35_477
| ~ spl35_229
| ~ spl35_322 ),
inference(avatar_split_clause,[],[f2729,f2655,f2143,f3544]) ).
fof(f3544,plain,
( spl35_477
<=> ! [X0,X1] :
( sP5(sK29(X0,X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_477])]) ).
fof(f2729,plain,
( ! [X0,X1] :
( sP5(sK29(X0,X1))
| ~ v5_membered(k2_zfmisc_1(X0,X1)) )
| ~ spl35_229
| ~ spl35_322 ),
inference(resolution,[],[f2656,f2144]) ).
fof(f3542,plain,
( spl35_476
| ~ spl35_106
| ~ spl35_206 ),
inference(avatar_split_clause,[],[f2070,f1882,f1003,f3540]) ).
fof(f1003,plain,
( spl35_106
<=> ! [X0] :
( sP11(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_106])]) ).
fof(f2070,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP11(sK16(X0))
| ~ v2_pre_topc(sK16(X0)) )
| ~ spl35_106
| ~ spl35_206 ),
inference(resolution,[],[f1883,f1004]) ).
fof(f1004,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP11(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_106 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f3538,plain,
( spl35_475
| ~ spl35_106
| ~ spl35_205 ),
inference(avatar_split_clause,[],[f2058,f1878,f1003,f3536]) ).
fof(f2058,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP11(sK15(X0))
| ~ v2_pre_topc(sK15(X0)) )
| ~ spl35_106
| ~ spl35_205 ),
inference(resolution,[],[f1879,f1004]) ).
fof(f3526,plain,
( spl35_474
| ~ spl35_53
| ~ spl35_232 ),
inference(avatar_split_clause,[],[f2331,f2201,f758,f3524]) ).
fof(f3524,plain,
( spl35_474
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v1_membered(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_474])]) ).
fof(f2201,plain,
( spl35_232
<=> ! [X0] :
( sP5(sK14(X0))
| ~ v5_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_232])]) ).
fof(f2331,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v1_membered(sK14(X0)) )
| ~ spl35_53
| ~ spl35_232 ),
inference(resolution,[],[f2202,f759]) ).
fof(f2202,plain,
( ! [X0] :
( sP5(sK14(X0))
| ~ v5_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_232 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f3522,plain,
( spl35_473
| ~ spl35_54
| ~ spl35_232 ),
inference(avatar_split_clause,[],[f2330,f2201,f762,f3520]) ).
fof(f3520,plain,
( spl35_473
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v2_membered(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_473])]) ).
fof(f2330,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v2_membered(sK14(X0)) )
| ~ spl35_54
| ~ spl35_232 ),
inference(resolution,[],[f2202,f763]) ).
fof(f3518,plain,
( spl35_472
| ~ spl35_55
| ~ spl35_232 ),
inference(avatar_split_clause,[],[f2329,f2201,f766,f3516]) ).
fof(f3516,plain,
( spl35_472
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v3_membered(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_472])]) ).
fof(f2329,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v3_membered(sK14(X0)) )
| ~ spl35_55
| ~ spl35_232 ),
inference(resolution,[],[f2202,f767]) ).
fof(f3514,plain,
( spl35_471
| ~ spl35_56
| ~ spl35_232 ),
inference(avatar_split_clause,[],[f2328,f2201,f770,f3512]) ).
fof(f3512,plain,
( spl35_471
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v4_membered(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_471])]) ).
fof(f2328,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v4_membered(sK14(X0)) )
| ~ spl35_56
| ~ spl35_232 ),
inference(resolution,[],[f2202,f771]) ).
fof(f3510,plain,
( spl35_470
| ~ spl35_57
| ~ spl35_232 ),
inference(avatar_split_clause,[],[f2327,f2201,f774,f3508]) ).
fof(f3508,plain,
( spl35_470
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v5_membered(sK14(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_470])]) ).
fof(f2327,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_xboole_0(X0)
| v5_membered(sK14(X0)) )
| ~ spl35_57
| ~ spl35_232 ),
inference(resolution,[],[f2202,f775]) ).
fof(f3506,plain,
( ~ spl35_87
| spl35_469
| ~ spl35_97
| ~ spl35_431 ),
inference(avatar_split_clause,[],[f3395,f3248,f967,f3503,f911]) ).
fof(f911,plain,
( spl35_87
<=> sP4(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_87])]) ).
fof(f3503,plain,
( spl35_469
<=> v2_tops_1(k1_xboole_0,sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_469])]) ).
fof(f3248,plain,
( spl35_431
<=> k1_xboole_0 = sK17(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_431])]) ).
fof(f3395,plain,
( v2_tops_1(k1_xboole_0,sK32)
| ~ sP4(sK32)
| ~ spl35_97
| ~ spl35_431 ),
inference(superposition,[],[f968,f3250]) ).
fof(f3250,plain,
( k1_xboole_0 = sK17(sK32)
| ~ spl35_431 ),
inference(avatar_component_clause,[],[f3248]) ).
fof(f3501,plain,
( spl35_468
| ~ spl35_157
| ~ spl35_214 ),
inference(avatar_split_clause,[],[f2164,f2082,f1323,f3499]) ).
fof(f1323,plain,
( spl35_157
<=> ! [X0,X1] :
( v2_pre_topc(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_157])]) ).
fof(f2164,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v2_pre_topc(sK16(X0))
| ~ v2_pre_topc(X0) )
| ~ spl35_157
| ~ spl35_214 ),
inference(duplicate_literal_removal,[],[f2153]) ).
fof(f2153,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| v2_pre_topc(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_157
| ~ spl35_214 ),
inference(resolution,[],[f2083,f1324]) ).
fof(f1324,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v2_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_157 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f3486,plain,
( spl35_467
| ~ spl35_227
| ~ spl35_256 ),
inference(avatar_split_clause,[],[f2361,f2319,f2135,f3484]) ).
fof(f2319,plain,
( spl35_256
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_256])]) ).
fof(f2361,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_227
| ~ spl35_256 ),
inference(resolution,[],[f2320,f2136]) ).
fof(f2320,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK27(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl35_256 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f3482,plain,
( spl35_466
| ~ spl35_107
| ~ spl35_227 ),
inference(avatar_split_clause,[],[f2191,f2135,f1012,f3480]) ).
fof(f3480,plain,
( spl35_466
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_466])]) ).
fof(f2191,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK27(X0)) )
| ~ spl35_107
| ~ spl35_227 ),
inference(resolution,[],[f2136,f1013]) ).
fof(f3473,plain,
( spl35_465
| ~ spl35_53
| ~ spl35_216 ),
inference(avatar_split_clause,[],[f2177,f2090,f758,f3471]) ).
fof(f3471,plain,
( spl35_465
<=> ! [X0] :
( ~ v5_membered(X0)
| v1_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_465])]) ).
fof(f2090,plain,
( spl35_216
<=> ! [X0] :
( sP5(sK27(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_216])]) ).
fof(f2177,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v1_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_53
| ~ spl35_216 ),
inference(resolution,[],[f2091,f759]) ).
fof(f2091,plain,
( ! [X0] :
( sP5(sK27(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) )
| ~ spl35_216 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f3469,plain,
( spl35_464
| ~ spl35_54
| ~ spl35_216 ),
inference(avatar_split_clause,[],[f2176,f2090,f762,f3467]) ).
fof(f3467,plain,
( spl35_464
<=> ! [X0] :
( ~ v5_membered(X0)
| v2_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_464])]) ).
fof(f2176,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v2_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_54
| ~ spl35_216 ),
inference(resolution,[],[f2091,f763]) ).
fof(f3465,plain,
( spl35_463
| ~ spl35_55
| ~ spl35_216 ),
inference(avatar_split_clause,[],[f2175,f2090,f766,f3463]) ).
fof(f3463,plain,
( spl35_463
<=> ! [X0] :
( ~ v5_membered(X0)
| v3_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_463])]) ).
fof(f2175,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v3_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_55
| ~ spl35_216 ),
inference(resolution,[],[f2091,f767]) ).
fof(f3461,plain,
( spl35_462
| ~ spl35_56
| ~ spl35_216 ),
inference(avatar_split_clause,[],[f2174,f2090,f770,f3459]) ).
fof(f3459,plain,
( spl35_462
<=> ! [X0] :
( ~ v5_membered(X0)
| v4_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_462])]) ).
fof(f2174,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v4_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_56
| ~ spl35_216 ),
inference(resolution,[],[f2091,f771]) ).
fof(f3457,plain,
( spl35_461
| ~ spl35_57
| ~ spl35_216 ),
inference(avatar_split_clause,[],[f2173,f2090,f774,f3455]) ).
fof(f3455,plain,
( spl35_461
<=> ! [X0] :
( ~ v5_membered(X0)
| v5_membered(sK27(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_461])]) ).
fof(f2173,plain,
( ! [X0] :
( ~ v5_membered(X0)
| v5_membered(sK27(k1_zfmisc_1(X0))) )
| ~ spl35_57
| ~ spl35_216 ),
inference(resolution,[],[f2091,f775]) ).
fof(f3449,plain,
( spl35_460
| ~ spl35_27
| ~ spl35_206 ),
inference(avatar_split_clause,[],[f2072,f1882,f654,f3447]) ).
fof(f3447,plain,
( spl35_460
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(sK16(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_460])]) ).
fof(f654,plain,
( spl35_27
<=> ! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_27])]) ).
fof(f2072,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(sK16(X0)) )
| ~ spl35_27
| ~ spl35_206 ),
inference(resolution,[],[f1883,f655]) ).
fof(f655,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) )
| ~ spl35_27 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f3445,plain,
( spl35_459
| ~ spl35_21
| ~ spl35_438 ),
inference(avatar_split_clause,[],[f3408,f3279,f627,f3442]) ).
fof(f3442,plain,
( spl35_459
<=> sP5(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_459])]) ).
fof(f627,plain,
( spl35_21
<=> v5_membered(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_21])]) ).
fof(f3408,plain,
( sP5(sK33)
| ~ spl35_21
| ~ spl35_438 ),
inference(resolution,[],[f3280,f629]) ).
fof(f629,plain,
( v5_membered(sK33)
| ~ spl35_21 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f3440,plain,
( spl35_458
| ~ spl35_51
| ~ spl35_206 ),
inference(avatar_split_clause,[],[f2071,f1882,f750,f3438]) ).
fof(f750,plain,
( spl35_51
<=> ! [X0] :
( sP4(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_51])]) ).
fof(f2071,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP4(sK16(X0)) )
| ~ spl35_51
| ~ spl35_206 ),
inference(resolution,[],[f1883,f751]) ).
fof(f751,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP4(X0) )
| ~ spl35_51 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f3436,plain,
( spl35_457
| ~ spl35_27
| ~ spl35_205 ),
inference(avatar_split_clause,[],[f2060,f1878,f654,f3434]) ).
fof(f3434,plain,
( spl35_457
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(sK15(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_457])]) ).
fof(f2060,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(sK15(X0)) )
| ~ spl35_27
| ~ spl35_205 ),
inference(resolution,[],[f1879,f655]) ).
fof(f3432,plain,
( spl35_456
| ~ spl35_51
| ~ spl35_205 ),
inference(avatar_split_clause,[],[f2059,f1878,f750,f3430]) ).
fof(f2059,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| sP4(sK15(X0)) )
| ~ spl35_51
| ~ spl35_205 ),
inference(resolution,[],[f1879,f751]) ).
fof(f3367,plain,
( spl35_455
| ~ spl35_26
| ~ spl35_242 ),
inference(avatar_split_clause,[],[f2344,f2242,f650,f3365]) ).
fof(f3365,plain,
( spl35_455
<=> ! [X0] :
( ~ v3_membered(X0)
| v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_455])]) ).
fof(f2242,plain,
( spl35_242
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_242])]) ).
fof(f2344,plain,
( ! [X0] :
( ~ v3_membered(X0)
| v1_membered(X0) )
| ~ spl35_26
| ~ spl35_242 ),
inference(resolution,[],[f2243,f651]) ).
fof(f2243,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v3_membered(X1)
| v1_membered(X0) )
| ~ spl35_242 ),
inference(avatar_component_clause,[],[f2242]) ).
fof(f3363,plain,
( spl35_454
| ~ spl35_110
| ~ spl35_196 ),
inference(avatar_split_clause,[],[f1757,f1754,f1024,f3361]) ).
fof(f3361,plain,
( spl35_454
<=> ! [X0,X1] :
( ~ v3_borsuk_1(sK30(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| sP8(X1,X0)
| ~ v5_pre_topc(sK30(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK30(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK30(u1_struct_0(X0),u1_struct_0(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_454])]) ).
fof(f1757,plain,
( ! [X0,X1] :
( ~ v3_borsuk_1(sK30(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| sP8(X1,X0)
| ~ v5_pre_topc(sK30(u1_struct_0(X0),u1_struct_0(X1)),X0,X1)
| ~ v1_funct_2(sK30(u1_struct_0(X0),u1_struct_0(X1)),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK30(u1_struct_0(X0),u1_struct_0(X1))) )
| ~ spl35_110
| ~ spl35_196 ),
inference(resolution,[],[f1755,f1025]) ).
fof(f3357,plain,
( spl35_453
| ~ spl35_172
| ~ spl35_196 ),
inference(avatar_split_clause,[],[f1758,f1754,f1470,f3355]) ).
fof(f1758,plain,
( ! [X0,X1] :
( ~ v3_borsuk_1(sK19(X0,X1),X1,X0)
| sP8(X0,X1)
| ~ v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) )
| ~ spl35_172
| ~ spl35_196 ),
inference(resolution,[],[f1755,f1471]) ).
fof(f3349,plain,
( spl35_452
| ~ spl35_67
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1743,f1704,f814,f3347]) ).
fof(f3347,plain,
( spl35_452
<=> ! [X0] :
( ~ v2_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v4_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_452])]) ).
fof(f814,plain,
( spl35_67
<=> ! [X0] : m1_subset_1(sK27(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_67])]) ).
fof(f1743,plain,
( ! [X0] :
( ~ v2_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v4_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_67
| ~ spl35_195 ),
inference(resolution,[],[f1705,f815]) ).
fof(f815,plain,
( ! [X0] : m1_subset_1(sK27(X0),X0)
| ~ spl35_67 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f3345,plain,
( spl35_451
| ~ spl35_113
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1734,f1704,f1040,f3343]) ).
fof(f3343,plain,
( spl35_451
<=> ! [X0] :
( ~ v2_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ v4_pre_topc(sK14(u1_struct_0(X0)),X0)
| v3_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_451])]) ).
fof(f1040,plain,
( spl35_113
<=> ! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_113])]) ).
fof(f1734,plain,
( ! [X0] :
( ~ v2_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ v4_pre_topc(sK14(u1_struct_0(X0)),X0)
| v3_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_113
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1041]) ).
fof(f1041,plain,
( ! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl35_113 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f3341,plain,
( spl35_450
| ~ spl35_67
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1723,f1700,f814,f3339]) ).
fof(f1723,plain,
( ! [X0] :
( ~ v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| sP10(X0,sK27(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_67
| ~ spl35_194 ),
inference(resolution,[],[f1701,f815]) ).
fof(f3337,plain,
( spl35_449
| ~ spl35_26
| ~ spl35_236 ),
inference(avatar_split_clause,[],[f2333,f2218,f650,f3335]) ).
fof(f3335,plain,
( spl35_449
<=> ! [X0] :
( ~ v4_membered(X0)
| v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_449])]) ).
fof(f2218,plain,
( spl35_236
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_236])]) ).
fof(f2333,plain,
( ! [X0] :
( ~ v4_membered(X0)
| v2_membered(X0) )
| ~ spl35_26
| ~ spl35_236 ),
inference(resolution,[],[f2219,f651]) ).
fof(f2219,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v4_membered(X1)
| v2_membered(X0) )
| ~ spl35_236 ),
inference(avatar_component_clause,[],[f2218]) ).
fof(f3333,plain,
( spl35_448
| ~ spl35_113
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1714,f1700,f1040,f3331]) ).
fof(f3331,plain,
( spl35_448
<=> ! [X0] :
( ~ v3_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ v3_pre_topc(sK14(u1_struct_0(X0)),X0)
| sP10(X0,sK14(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_448])]) ).
fof(f1714,plain,
( ! [X0] :
( ~ v3_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ v3_pre_topc(sK14(u1_struct_0(X0)),X0)
| sP10(X0,sK14(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_113
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1041]) ).
fof(f3329,plain,
( spl35_447
| ~ spl35_162
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1736,f1704,f1353,f3327]) ).
fof(f3327,plain,
( spl35_447
<=> ! [X0] :
( ~ v2_tops_1(sK18(X0),X0)
| ~ v4_pre_topc(sK18(X0),X0)
| v3_tops_1(sK18(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_447])]) ).
fof(f1353,plain,
( spl35_162
<=> ! [X0] :
( m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_162])]) ).
fof(f1736,plain,
( ! [X0] :
( ~ v2_tops_1(sK18(X0),X0)
| ~ v4_pre_topc(sK18(X0),X0)
| v3_tops_1(sK18(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl35_162
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1354]) ).
fof(f1354,plain,
( ! [X0] :
( m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl35_162 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f3325,plain,
( spl35_446
| ~ spl35_162
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1716,f1700,f1353,f3323]) ).
fof(f3323,plain,
( spl35_446
<=> ! [X0] :
( ~ v3_tops_1(sK18(X0),X0)
| ~ v3_pre_topc(sK18(X0),X0)
| sP10(X0,sK18(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_446])]) ).
fof(f1716,plain,
( ! [X0] :
( ~ v3_tops_1(sK18(X0),X0)
| ~ v3_pre_topc(sK18(X0),X0)
| sP10(X0,sK18(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl35_162
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1354]) ).
fof(f3317,plain,
( spl35_445
| ~ spl35_26
| ~ spl35_233 ),
inference(avatar_split_clause,[],[f2332,f2205,f650,f3315]) ).
fof(f3315,plain,
( spl35_445
<=> ! [X0] :
( ~ v4_membered(X0)
| v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_445])]) ).
fof(f2205,plain,
( spl35_233
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_233])]) ).
fof(f2332,plain,
( ! [X0] :
( ~ v4_membered(X0)
| v1_membered(X0) )
| ~ spl35_26
| ~ spl35_233 ),
inference(resolution,[],[f2206,f651]) ).
fof(f2206,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v4_membered(X1)
| v1_membered(X0) )
| ~ spl35_233 ),
inference(avatar_component_clause,[],[f2205]) ).
fof(f3305,plain,
( spl35_444
| ~ spl35_182
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1749,f1704,f1516,f3303]) ).
fof(f3303,plain,
( spl35_444
<=> ! [X0] :
( ~ v2_tops_1(sK21(X0),X0)
| ~ v4_pre_topc(sK21(X0),X0)
| v3_tops_1(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_444])]) ).
fof(f1516,plain,
( spl35_182
<=> ! [X0] :
( m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_182])]) ).
fof(f1749,plain,
( ! [X0] :
( ~ v2_tops_1(sK21(X0),X0)
| ~ v4_pre_topc(sK21(X0),X0)
| v3_tops_1(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_182
| ~ spl35_195 ),
inference(duplicate_literal_removal,[],[f1737]) ).
fof(f1737,plain,
( ! [X0] :
( ~ v2_tops_1(sK21(X0),X0)
| ~ v4_pre_topc(sK21(X0),X0)
| v3_tops_1(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_182
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1517]) ).
fof(f1517,plain,
( ! [X0] :
( m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_182 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f3301,plain,
( spl35_443
| ~ spl35_183
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1748,f1704,f1520,f3299]) ).
fof(f3299,plain,
( spl35_443
<=> ! [X0] :
( ~ v2_tops_1(sK22(X0),X0)
| ~ v4_pre_topc(sK22(X0),X0)
| v3_tops_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_443])]) ).
fof(f1520,plain,
( spl35_183
<=> ! [X0] :
( m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_183])]) ).
fof(f1748,plain,
( ! [X0] :
( ~ v2_tops_1(sK22(X0),X0)
| ~ v4_pre_topc(sK22(X0),X0)
| v3_tops_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_183
| ~ spl35_195 ),
inference(duplicate_literal_removal,[],[f1738]) ).
fof(f1738,plain,
( ! [X0] :
( ~ v2_tops_1(sK22(X0),X0)
| ~ v4_pre_topc(sK22(X0),X0)
| v3_tops_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_183
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1521]) ).
fof(f1521,plain,
( ! [X0] :
( m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_183 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f3297,plain,
( spl35_442
| ~ spl35_126
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1735,f1704,f1103,f3295]) ).
fof(f1103,plain,
( spl35_126
<=> ! [X0] :
( m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_126])]) ).
fof(f1735,plain,
( ! [X0] :
( ~ v2_tops_1(sK17(X0),X0)
| ~ v4_pre_topc(sK17(X0),X0)
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1104]) ).
fof(f1104,plain,
( ! [X0] :
( m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0) )
| ~ spl35_126 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f3293,plain,
( spl35_441
| ~ spl35_182
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1729,f1700,f1516,f3291]) ).
fof(f3291,plain,
( spl35_441
<=> ! [X0] :
( ~ v3_tops_1(sK21(X0),X0)
| ~ v3_pre_topc(sK21(X0),X0)
| sP10(X0,sK21(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_441])]) ).
fof(f1729,plain,
( ! [X0] :
( ~ v3_tops_1(sK21(X0),X0)
| ~ v3_pre_topc(sK21(X0),X0)
| sP10(X0,sK21(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_182
| ~ spl35_194 ),
inference(duplicate_literal_removal,[],[f1717]) ).
fof(f1717,plain,
( ! [X0] :
( ~ v3_tops_1(sK21(X0),X0)
| ~ v3_pre_topc(sK21(X0),X0)
| sP10(X0,sK21(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_182
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1517]) ).
fof(f3289,plain,
( spl35_440
| ~ spl35_183
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1728,f1700,f1520,f3287]) ).
fof(f3287,plain,
( spl35_440
<=> ! [X0] :
( ~ v3_tops_1(sK22(X0),X0)
| ~ v3_pre_topc(sK22(X0),X0)
| sP10(X0,sK22(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_440])]) ).
fof(f1728,plain,
( ! [X0] :
( ~ v3_tops_1(sK22(X0),X0)
| ~ v3_pre_topc(sK22(X0),X0)
| sP10(X0,sK22(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_183
| ~ spl35_194 ),
inference(duplicate_literal_removal,[],[f1718]) ).
fof(f1718,plain,
( ! [X0] :
( ~ v3_tops_1(sK22(X0),X0)
| ~ v3_pre_topc(sK22(X0),X0)
| sP10(X0,sK22(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_183
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1521]) ).
fof(f3285,plain,
( spl35_439
| ~ spl35_138
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1719,f1700,f1154,f3283]) ).
fof(f1154,plain,
( spl35_138
<=> ! [X0] :
( m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_138])]) ).
fof(f1719,plain,
( ! [X0] :
( ~ v3_tops_1(sK23(X0),X0)
| ~ v3_pre_topc(sK23(X0),X0)
| sP10(X0,sK23(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP11(X0) )
| ~ spl35_138
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1155]) ).
fof(f1155,plain,
( ! [X0] :
( m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0) )
| ~ spl35_138 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f3281,plain,
( spl35_438
| ~ spl35_26
| ~ spl35_231 ),
inference(avatar_split_clause,[],[f2326,f2197,f650,f3279]) ).
fof(f2197,plain,
( spl35_231
<=> ! [X0,X1] :
( sP5(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_231])]) ).
fof(f2326,plain,
( ! [X0] :
( ~ v5_membered(X0)
| sP5(X0) )
| ~ spl35_26
| ~ spl35_231 ),
inference(resolution,[],[f2198,f651]) ).
fof(f2198,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ v5_membered(X1)
| sP5(X0) )
| ~ spl35_231 ),
inference(avatar_component_clause,[],[f2197]) ).
fof(f3277,plain,
( spl35_437
| ~ spl35_126
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1715,f1700,f1103,f3275]) ).
fof(f1715,plain,
( ! [X0] :
( ~ v3_tops_1(sK17(X0),X0)
| ~ v3_pre_topc(sK17(X0),X0)
| sP10(X0,sK17(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1104]) ).
fof(f3273,plain,
( spl35_436
| ~ spl35_95
| ~ spl35_193 ),
inference(avatar_split_clause,[],[f1712,f1696,f959,f3271]) ).
fof(f3271,plain,
( spl35_436
<=> ! [X0] :
( v2_tex_2(sK15(X0),X0)
| v3_struct_0(sK15(X0))
| ~ v3_realset2(sK15(X0))
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_436])]) ).
fof(f959,plain,
( spl35_95
<=> ! [X0] :
( m1_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_95])]) ).
fof(f1712,plain,
( ! [X0] :
( v2_tex_2(sK15(X0),X0)
| v3_struct_0(sK15(X0))
| ~ v3_realset2(sK15(X0))
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_95
| ~ spl35_193 ),
inference(duplicate_literal_removal,[],[f1710]) ).
fof(f1710,plain,
( ! [X0] :
( v2_tex_2(sK15(X0),X0)
| v3_struct_0(sK15(X0))
| ~ v3_realset2(sK15(X0))
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_193 ),
inference(resolution,[],[f1697,f960]) ).
fof(f960,plain,
( ! [X0] :
( m1_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f3269,plain,
( spl35_435
| ~ spl35_95
| ~ spl35_192 ),
inference(avatar_split_clause,[],[f1709,f1692,f959,f3267]) ).
fof(f3267,plain,
( spl35_435
<=> ! [X0] :
( ~ v2_t_0topsp(sK15(X0))
| v3_struct_0(sK15(X0))
| v2_tex_2(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_435])]) ).
fof(f1709,plain,
( ! [X0] :
( ~ v2_t_0topsp(sK15(X0))
| v3_struct_0(sK15(X0))
| v2_tex_2(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_95
| ~ spl35_192 ),
inference(duplicate_literal_removal,[],[f1707]) ).
fof(f1707,plain,
( ! [X0] :
( ~ v2_t_0topsp(sK15(X0))
| v3_struct_0(sK15(X0))
| v2_tex_2(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_192 ),
inference(resolution,[],[f1693,f960]) ).
fof(f3263,plain,
( spl35_434
| ~ spl35_120
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1733,f1704,f1068,f3261]) ).
fof(f1068,plain,
( spl35_120
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_120])]) ).
fof(f1733,plain,
( ! [X0,X1] :
( ~ v2_tops_1(X0,X1)
| ~ v4_pre_topc(X0,X1)
| v3_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl35_120
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1069]) ).
fof(f1069,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl35_120 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f3259,plain,
( spl35_433
| ~ spl35_120
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1713,f1700,f1068,f3257]) ).
fof(f1713,plain,
( ! [X0,X1] :
( ~ v3_tops_1(X0,X1)
| ~ v3_pre_topc(X0,X1)
| sP10(X1,X0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl35_120
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1069]) ).
fof(f3255,plain,
( spl35_432
| ~ spl35_96
| ~ spl35_191 ),
inference(avatar_split_clause,[],[f1690,f1685,f963,f3253]) ).
fof(f3253,plain,
( spl35_432
<=> ! [X0] :
( sP7(sK16(X0),X0)
| ~ v2_tsp_2(sK16(X0),X0)
| v3_struct_0(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_432])]) ).
fof(f963,plain,
( spl35_96
<=> ! [X0] :
( m2_tsp_1(sK16(X0),X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_96])]) ).
fof(f1690,plain,
( ! [X0] :
( sP7(sK16(X0),X0)
| ~ v2_tsp_2(sK16(X0),X0)
| v3_struct_0(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_96
| ~ spl35_191 ),
inference(duplicate_literal_removal,[],[f1689]) ).
fof(f1689,plain,
( ! [X0] :
( sP7(sK16(X0),X0)
| ~ v2_tsp_2(sK16(X0),X0)
| v3_struct_0(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_96
| ~ spl35_191 ),
inference(resolution,[],[f1686,f964]) ).
fof(f964,plain,
( ! [X0] :
( m2_tsp_1(sK16(X0),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_96 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f3251,plain,
( spl35_431
| ~ spl35_87
| ~ spl35_212 ),
inference(avatar_split_clause,[],[f2147,f2074,f911,f3248]) ).
fof(f2147,plain,
( k1_xboole_0 = sK17(sK32)
| ~ spl35_87
| ~ spl35_212 ),
inference(resolution,[],[f2075,f913]) ).
fof(f913,plain,
( sP4(sK32)
| ~ spl35_87 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f3246,plain,
( spl35_430
| ~ spl35_113
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1666,f1659,f1040,f3244]) ).
fof(f3244,plain,
( spl35_430
<=> ! [X0] :
( ~ v3_tops_1(sK14(u1_struct_0(X0)),X0)
| v2_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_430])]) ).
fof(f1666,plain,
( ! [X0] :
( ~ v3_tops_1(sK14(u1_struct_0(X0)),X0)
| v2_tops_1(sK14(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(u1_struct_0(X0)) )
| ~ spl35_113
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1041]) ).
fof(f3225,plain,
( spl35_429
| ~ spl35_92
| ~ spl35_198 ),
inference(avatar_split_clause,[],[f1867,f1766,f932,f3223]) ).
fof(f3223,plain,
( spl35_429
<=> ! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_429])]) ).
fof(f932,plain,
( spl35_92
<=> ! [X0] : m1_subset_1(sK28(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_92])]) ).
fof(f1766,plain,
( spl35_198
<=> ! [X0] : k1_xboole_0 = sK28(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_198])]) ).
fof(f1867,plain,
( ! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0))
| ~ spl35_92
| ~ spl35_198 ),
inference(superposition,[],[f933,f1767]) ).
fof(f1767,plain,
( ! [X0] : k1_xboole_0 = sK28(X0)
| ~ spl35_198 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f933,plain,
( ! [X0] : m1_subset_1(sK28(X0),k1_zfmisc_1(X0))
| ~ spl35_92 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f3218,plain,
( spl35_428
| ~ spl35_166
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1747,f1704,f1369,f3216]) ).
fof(f3216,plain,
( spl35_428
<=> ! [X0] :
( ~ v2_tops_1(sK24(X0),X0)
| ~ v4_pre_topc(sK24(X0),X0)
| v3_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_428])]) ).
fof(f1369,plain,
( spl35_166
<=> ! [X0] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_166])]) ).
fof(f1747,plain,
( ! [X0] :
( ~ v2_tops_1(sK24(X0),X0)
| ~ v4_pre_topc(sK24(X0),X0)
| v3_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_195 ),
inference(duplicate_literal_removal,[],[f1740]) ).
fof(f1740,plain,
( ! [X0] :
( ~ v2_tops_1(sK24(X0),X0)
| ~ v4_pre_topc(sK24(X0),X0)
| v3_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1370]) ).
fof(f1370,plain,
( ! [X0] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f3214,plain,
( spl35_427
| ~ spl35_167
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1746,f1704,f1373,f3212]) ).
fof(f3212,plain,
( spl35_427
<=> ! [X0] :
( ~ v2_tops_1(sK25(X0),X0)
| ~ v4_pre_topc(sK25(X0),X0)
| v3_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_427])]) ).
fof(f1373,plain,
( spl35_167
<=> ! [X0] :
( m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_167])]) ).
fof(f1746,plain,
( ! [X0] :
( ~ v2_tops_1(sK25(X0),X0)
| ~ v4_pre_topc(sK25(X0),X0)
| v3_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_195 ),
inference(duplicate_literal_removal,[],[f1741]) ).
fof(f1741,plain,
( ! [X0] :
( ~ v2_tops_1(sK25(X0),X0)
| ~ v4_pre_topc(sK25(X0),X0)
| v3_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1374]) ).
fof(f1374,plain,
( ! [X0] :
( m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f3210,plain,
( spl35_426
| ~ spl35_168
| ~ spl35_195 ),
inference(avatar_split_clause,[],[f1745,f1704,f1377,f3208]) ).
fof(f3208,plain,
( spl35_426
<=> ! [X0] :
( ~ v2_tops_1(sK26(X0),X0)
| ~ v4_pre_topc(sK26(X0),X0)
| v3_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_426])]) ).
fof(f1377,plain,
( spl35_168
<=> ! [X0] :
( m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_168])]) ).
fof(f1745,plain,
( ! [X0] :
( ~ v2_tops_1(sK26(X0),X0)
| ~ v4_pre_topc(sK26(X0),X0)
| v3_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_195 ),
inference(duplicate_literal_removal,[],[f1742]) ).
fof(f1742,plain,
( ! [X0] :
( ~ v2_tops_1(sK26(X0),X0)
| ~ v4_pre_topc(sK26(X0),X0)
| v3_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_195 ),
inference(resolution,[],[f1705,f1378]) ).
fof(f1378,plain,
( ! [X0] :
( m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f3206,plain,
( spl35_425
| ~ spl35_166
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1727,f1700,f1369,f3204]) ).
fof(f1727,plain,
( ! [X0] :
( ~ v3_tops_1(sK24(X0),X0)
| ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_194 ),
inference(duplicate_literal_removal,[],[f1720]) ).
fof(f1720,plain,
( ! [X0] :
( ~ v3_tops_1(sK24(X0),X0)
| ~ v3_pre_topc(sK24(X0),X0)
| sP10(X0,sK24(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1370]) ).
fof(f3202,plain,
( spl35_424
| ~ spl35_167
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1726,f1700,f1373,f3200]) ).
fof(f1726,plain,
( ! [X0] :
( ~ v3_tops_1(sK25(X0),X0)
| ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_194 ),
inference(duplicate_literal_removal,[],[f1721]) ).
fof(f1721,plain,
( ! [X0] :
( ~ v3_tops_1(sK25(X0),X0)
| ~ v3_pre_topc(sK25(X0),X0)
| sP10(X0,sK25(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1374]) ).
fof(f3198,plain,
( spl35_423
| ~ spl35_168
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1725,f1700,f1377,f3196]) ).
fof(f1725,plain,
( ! [X0] :
( ~ v3_tops_1(sK26(X0),X0)
| ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_194 ),
inference(duplicate_literal_removal,[],[f1722]) ).
fof(f1722,plain,
( ! [X0] :
( ~ v3_tops_1(sK26(X0),X0)
| ~ v3_pre_topc(sK26(X0),X0)
| sP10(X0,sK26(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_194 ),
inference(resolution,[],[f1701,f1378]) ).
fof(f3194,plain,
( spl35_422
| ~ spl35_67
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1675,f1659,f814,f3192]) ).
fof(f3192,plain,
( spl35_422
<=> ! [X0] :
( ~ v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v2_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_422])]) ).
fof(f1675,plain,
( ! [X0] :
( ~ v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| v2_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_67
| ~ spl35_190 ),
inference(resolution,[],[f1660,f815]) ).
fof(f3190,plain,
( spl35_421
| ~ spl35_162
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1668,f1659,f1353,f3188]) ).
fof(f3188,plain,
( spl35_421
<=> ! [X0] :
( ~ v3_tops_1(sK18(X0),X0)
| v2_tops_1(sK18(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_421])]) ).
fof(f1668,plain,
( ! [X0] :
( ~ v3_tops_1(sK18(X0),X0)
| v2_tops_1(sK18(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0) )
| ~ spl35_162
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1354]) ).
fof(f3186,plain,
( spl35_420
| ~ spl35_143
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1568,f1520,f1174,f3184]) ).
fof(f1568,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK22(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl35_143
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1175]) ).
fof(f3182,plain,
( spl35_419
| ~ spl35_143
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1552,f1516,f1174,f3180]) ).
fof(f1552,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK21(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl35_143
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1175]) ).
fof(f3175,plain,
( spl35_418
| ~ spl35_67
| ~ spl35_188 ),
inference(avatar_split_clause,[],[f1645,f1588,f814,f3173]) ).
fof(f3173,plain,
( spl35_418
<=> ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v4_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_418])]) ).
fof(f1645,plain,
( ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v4_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_67
| ~ spl35_188 ),
inference(resolution,[],[f1589,f815]) ).
fof(f3171,plain,
( spl35_417
| ~ spl35_67
| ~ spl35_187 ),
inference(avatar_split_clause,[],[f1626,f1584,f814,f3169]) ).
fof(f1626,plain,
( ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v3_pre_topc(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_67
| ~ spl35_187 ),
inference(resolution,[],[f1585,f815]) ).
fof(f3167,plain,
( spl35_416
| ~ spl35_67
| ~ spl35_186 ),
inference(avatar_split_clause,[],[f1607,f1580,f814,f3165]) ).
fof(f1607,plain,
( ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v3_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_67
| ~ spl35_186 ),
inference(resolution,[],[f1581,f815]) ).
fof(f3163,plain,
( spl35_415
| ~ spl35_143
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1452,f1381,f1174,f3161]) ).
fof(f1381,plain,
( spl35_169
<=> ! [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,[spl35_169])]) ).
fof(f1452,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))) )
| ~ spl35_143
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1175]) ).
fof(f1382,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl35_169 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f3144,plain,
( spl35_414
| ~ spl35_182
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1681,f1659,f1516,f3142]) ).
fof(f3142,plain,
( spl35_414
<=> ! [X0] :
( ~ v3_tops_1(sK21(X0),X0)
| v2_tops_1(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_414])]) ).
fof(f1681,plain,
( ! [X0] :
( ~ v3_tops_1(sK21(X0),X0)
| v2_tops_1(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_182
| ~ spl35_190 ),
inference(duplicate_literal_removal,[],[f1669]) ).
fof(f1669,plain,
( ! [X0] :
( ~ v3_tops_1(sK21(X0),X0)
| v2_tops_1(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_182
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1517]) ).
fof(f3140,plain,
( spl35_413
| ~ spl35_183
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1680,f1659,f1520,f3138]) ).
fof(f3138,plain,
( spl35_413
<=> ! [X0] :
( ~ v3_tops_1(sK22(X0),X0)
| v2_tops_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_413])]) ).
fof(f1680,plain,
( ! [X0] :
( ~ v3_tops_1(sK22(X0),X0)
| v2_tops_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_183
| ~ spl35_190 ),
inference(duplicate_literal_removal,[],[f1670]) ).
fof(f1670,plain,
( ! [X0] :
( ~ v3_tops_1(sK22(X0),X0)
| v2_tops_1(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_183
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1521]) ).
fof(f3136,plain,
( spl35_412
| ~ spl35_120
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1665,f1659,f1068,f3134]) ).
fof(f1665,plain,
( ! [X0,X1] :
( ~ v3_tops_1(X0,X1)
| v2_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl35_120
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1069]) ).
fof(f3132,plain,
( spl35_411
| ~ spl35_95
| ~ spl35_189 ),
inference(avatar_split_clause,[],[f1664,f1655,f959,f3130]) ).
fof(f3130,plain,
( spl35_411
<=> ! [X0] :
( v3_struct_0(sK15(X0))
| v2_t_0topsp(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_411])]) ).
fof(f1664,plain,
( ! [X0] :
( v3_struct_0(sK15(X0))
| v2_t_0topsp(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_95
| ~ spl35_189 ),
inference(duplicate_literal_removal,[],[f1662]) ).
fof(f1662,plain,
( ! [X0] :
( v3_struct_0(sK15(X0))
| v2_t_0topsp(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_189 ),
inference(resolution,[],[f1656,f960]) ).
fof(f3128,plain,
( spl35_410
| ~ spl35_95
| ~ spl35_184 ),
inference(avatar_split_clause,[],[f1593,f1572,f959,f3126]) ).
fof(f3126,plain,
( spl35_410
<=> ! [X0] :
( v2_t_0topsp(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ v2_tsp_2(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_410])]) ).
fof(f1593,plain,
( ! [X0] :
( v2_t_0topsp(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ v2_tsp_2(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_95
| ~ spl35_184 ),
inference(duplicate_literal_removal,[],[f1591]) ).
fof(f1591,plain,
( ! [X0] :
( v2_t_0topsp(sK15(X0))
| v3_struct_0(sK15(X0))
| ~ v2_tsp_2(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_184 ),
inference(resolution,[],[f1573,f960]) ).
fof(f3124,plain,
( spl35_409
| ~ spl35_170
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1567,f1520,f1385,f3122]) ).
fof(f1567,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK22(X0)) )
| ~ spl35_170
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1386]) ).
fof(f3120,plain,
( spl35_408
| ~ spl35_170
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1551,f1516,f1385,f3118]) ).
fof(f1551,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(X1,sK21(X0)) )
| ~ spl35_170
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1386]) ).
fof(f3116,plain,
( spl35_407
| ~ spl35_143
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1439,f1377,f1174,f3114]) ).
fof(f1439,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK26(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl35_143
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1175]) ).
fof(f3112,plain,
( spl35_406
| ~ spl35_143
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1426,f1373,f1174,f3110]) ).
fof(f1426,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK25(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl35_143
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1175]) ).
fof(f3108,plain,
( spl35_405
| ~ spl35_143
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1413,f1369,f1174,f3106]) ).
fof(f1413,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl35_143
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1175]) ).
fof(f3104,plain,
( spl35_404
| ~ spl35_143
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1400,f1353,f1174,f3102]) ).
fof(f1400,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK18(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ spl35_143
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1175]) ).
fof(f3084,plain,
( ~ spl35_3
| spl35_1
| ~ spl35_2
| spl35_402
| spl35_403
| ~ spl35_178
| ~ spl35_389 ),
inference(avatar_split_clause,[],[f3024,f3016,f1497,f3081,f3077,f532,f527,f537]) ).
fof(f527,plain,
( spl35_1
<=> v3_struct_0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_1])]) ).
fof(f3077,plain,
( spl35_402
<=> v1_tdlat_3(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_402])]) ).
fof(f3081,plain,
( spl35_403
<=> sP1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_403])]) ).
fof(f1497,plain,
( spl35_178
<=> ! [X0] :
( sP1(X0)
| ~ v2_t_0topsp(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_178])]) ).
fof(f3016,plain,
( spl35_389
<=> v2_t_0topsp(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_389])]) ).
fof(f3024,plain,
( sP1(sK12)
| v1_tdlat_3(sK12)
| ~ v2_pre_topc(sK12)
| v3_struct_0(sK12)
| ~ l1_pre_topc(sK12)
| ~ spl35_178
| ~ spl35_389 ),
inference(resolution,[],[f3018,f1498]) ).
fof(f1498,plain,
( ! [X0] :
( ~ v2_t_0topsp(X0)
| sP1(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_178 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f3018,plain,
( v2_t_0topsp(sK12)
| ~ spl35_389 ),
inference(avatar_component_clause,[],[f3016]) ).
fof(f3074,plain,
( spl35_401
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_194 ),
inference(avatar_split_clause,[],[f1732,f1700,f932,f875,f646,f3072]) ).
fof(f646,plain,
( spl35_25
<=> ! [X0] : v1_xboole_0(sK28(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_25])]) ).
fof(f1732,plain,
( ! [X0] :
( sP10(X0,k1_xboole_0)
| ~ v3_pre_topc(k1_xboole_0,X0)
| ~ v3_tops_1(k1_xboole_0,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_194 ),
inference(forward_demodulation,[],[f1731,f950]) ).
fof(f950,plain,
( ! [X0] : k1_xboole_0 = sK28(X0)
| ~ spl35_25
| ~ spl35_78 ),
inference(resolution,[],[f876,f647]) ).
fof(f647,plain,
( ! [X0] : v1_xboole_0(sK28(X0))
| ~ spl35_25 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f1731,plain,
( ! [X0] :
( ~ v3_pre_topc(k1_xboole_0,X0)
| ~ v3_tops_1(k1_xboole_0,X0)
| sP10(X0,sK28(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_194 ),
inference(forward_demodulation,[],[f1730,f950]) ).
fof(f1730,plain,
( ! [X0] :
( ~ v3_tops_1(k1_xboole_0,X0)
| ~ v3_pre_topc(sK28(u1_struct_0(X0)),X0)
| sP10(X0,sK28(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_194 ),
inference(forward_demodulation,[],[f1724,f950]) ).
fof(f1724,plain,
( ! [X0] :
( ~ v3_tops_1(sK28(u1_struct_0(X0)),X0)
| ~ v3_pre_topc(sK28(u1_struct_0(X0)),X0)
| sP10(X0,sK28(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_92
| ~ spl35_194 ),
inference(resolution,[],[f1701,f933]) ).
fof(f3070,plain,
( spl35_400
| ~ spl35_126
| ~ spl35_188 ),
inference(avatar_split_clause,[],[f1637,f1588,f1103,f3068]) ).
fof(f3068,plain,
( spl35_400
<=> ! [X0] :
( ~ v1_xboole_0(sK17(X0))
| v4_pre_topc(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_400])]) ).
fof(f1637,plain,
( ! [X0] :
( ~ v1_xboole_0(sK17(X0))
| v4_pre_topc(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_188 ),
inference(resolution,[],[f1589,f1104]) ).
fof(f3066,plain,
( spl35_399
| ~ spl35_120
| ~ spl35_188 ),
inference(avatar_split_clause,[],[f1635,f1588,f1068,f3064]) ).
fof(f1635,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v4_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl35_120
| ~ spl35_188 ),
inference(resolution,[],[f1589,f1069]) ).
fof(f3062,plain,
( spl35_398
| ~ spl35_126
| ~ spl35_187 ),
inference(avatar_split_clause,[],[f1618,f1584,f1103,f3060]) ).
fof(f1618,plain,
( ! [X0] :
( ~ v1_xboole_0(sK17(X0))
| v3_pre_topc(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_187 ),
inference(resolution,[],[f1585,f1104]) ).
fof(f3058,plain,
( spl35_397
| ~ spl35_120
| ~ spl35_187 ),
inference(avatar_split_clause,[],[f1616,f1584,f1068,f3056]) ).
fof(f1616,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v3_pre_topc(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl35_120
| ~ spl35_187 ),
inference(resolution,[],[f1585,f1069]) ).
fof(f3054,plain,
( spl35_396
| ~ spl35_126
| ~ spl35_186 ),
inference(avatar_split_clause,[],[f1599,f1580,f1103,f3052]) ).
fof(f1599,plain,
( ! [X0] :
( ~ v1_xboole_0(sK17(X0))
| v3_tops_1(sK17(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_186 ),
inference(resolution,[],[f1581,f1104]) ).
fof(f3050,plain,
( spl35_395
| ~ spl35_120
| ~ spl35_186 ),
inference(avatar_split_clause,[],[f1597,f1580,f1068,f3048]) ).
fof(f1597,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v3_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl35_120
| ~ spl35_186 ),
inference(resolution,[],[f1581,f1069]) ).
fof(f3046,plain,
( spl35_394
| ~ spl35_95
| ~ spl35_185 ),
inference(avatar_split_clause,[],[f1596,f1576,f959,f3044]) ).
fof(f1596,plain,
( ! [X0] :
( sP9(X0,sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) )
| ~ spl35_95
| ~ spl35_185 ),
inference(duplicate_literal_removal,[],[f1594]) ).
fof(f1594,plain,
( ! [X0] :
( sP9(X0,sK15(X0))
| v3_struct_0(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_185 ),
inference(resolution,[],[f1577,f960]) ).
fof(f3042,plain,
( spl35_393
| ~ spl35_158
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1566,f1520,f1327,f3040]) ).
fof(f1566,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK22(X0)) )
| ~ spl35_158
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1328]) ).
fof(f3038,plain,
( spl35_392
| ~ spl35_158
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1550,f1516,f1327,f3036]) ).
fof(f1550,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK21(X0)) )
| ~ spl35_158
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1328]) ).
fof(f3034,plain,
( spl35_391
| ~ spl35_67
| ~ spl35_181 ),
inference(avatar_split_clause,[],[f1531,f1509,f814,f3032]) ).
fof(f3032,plain,
( spl35_391
<=> ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v2_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_391])]) ).
fof(f1531,plain,
( ! [X0] :
( ~ v1_xboole_0(sK27(k1_zfmisc_1(u1_struct_0(X0))))
| v2_tops_1(sK27(k1_zfmisc_1(u1_struct_0(X0))),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_67
| ~ spl35_181 ),
inference(resolution,[],[f1510,f815]) ).
fof(f3023,plain,
( spl35_1
| ~ spl35_2
| spl35_389
| ~ spl35_3
| spl35_390
| spl35_4
| ~ spl35_209
| ~ spl35_175
| ~ spl35_192 ),
inference(avatar_split_clause,[],[f1708,f1692,f1482,f1916,f542,f3020,f537,f3016,f532,f527]) ).
fof(f3020,plain,
( spl35_390
<=> v2_tex_2(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_390])]) ).
fof(f542,plain,
( spl35_4
<=> v3_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_4])]) ).
fof(f1916,plain,
( spl35_209
<=> v2_t_0topsp(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_209])]) ).
fof(f1482,plain,
( spl35_175
<=> m1_pre_topc(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_175])]) ).
fof(f1708,plain,
( ~ v2_t_0topsp(sK13)
| v3_struct_0(sK13)
| v2_tex_2(sK13,sK12)
| ~ l1_pre_topc(sK12)
| v2_t_0topsp(sK12)
| ~ v2_pre_topc(sK12)
| v3_struct_0(sK12)
| ~ spl35_175
| ~ spl35_192 ),
inference(resolution,[],[f1693,f1484]) ).
fof(f1484,plain,
( m1_pre_topc(sK13,sK12)
| ~ spl35_175 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f2996,plain,
( spl35_388
| ~ spl35_166
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1679,f1659,f1369,f2994]) ).
fof(f2994,plain,
( spl35_388
<=> ! [X0] :
( ~ v3_tops_1(sK24(X0),X0)
| v2_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_388])]) ).
fof(f1679,plain,
( ! [X0] :
( ~ v3_tops_1(sK24(X0),X0)
| v2_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_190 ),
inference(duplicate_literal_removal,[],[f1672]) ).
fof(f1672,plain,
( ! [X0] :
( ~ v3_tops_1(sK24(X0),X0)
| v2_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1370]) ).
fof(f2992,plain,
( spl35_387
| ~ spl35_167
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1678,f1659,f1373,f2990]) ).
fof(f2990,plain,
( spl35_387
<=> ! [X0] :
( ~ v3_tops_1(sK25(X0),X0)
| v2_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_387])]) ).
fof(f1678,plain,
( ! [X0] :
( ~ v3_tops_1(sK25(X0),X0)
| v2_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_190 ),
inference(duplicate_literal_removal,[],[f1673]) ).
fof(f1673,plain,
( ! [X0] :
( ~ v3_tops_1(sK25(X0),X0)
| v2_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1374]) ).
fof(f2988,plain,
( spl35_386
| ~ spl35_168
| ~ spl35_190 ),
inference(avatar_split_clause,[],[f1677,f1659,f1377,f2986]) ).
fof(f2986,plain,
( spl35_386
<=> ! [X0] :
( ~ v3_tops_1(sK26(X0),X0)
| v2_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_386])]) ).
fof(f1677,plain,
( ! [X0] :
( ~ v3_tops_1(sK26(X0),X0)
| v2_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_190 ),
inference(duplicate_literal_removal,[],[f1674]) ).
fof(f1674,plain,
( ! [X0] :
( ~ v3_tops_1(sK26(X0),X0)
| v2_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_190 ),
inference(resolution,[],[f1660,f1378]) ).
fof(f2984,plain,
( spl35_385
| ~ spl35_137
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1565,f1520,f1150,f2982]) ).
fof(f2982,plain,
( spl35_385
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v1_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_385])]) ).
fof(f1565,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v1_membered(u1_struct_0(X0)) )
| ~ spl35_137
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1151]) ).
fof(f2980,plain,
( spl35_384
| ~ spl35_136
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1564,f1520,f1146,f2978]) ).
fof(f2978,plain,
( spl35_384
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK22(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_384])]) ).
fof(f1564,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK22(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_136
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1147]) ).
fof(f2976,plain,
( spl35_7
| ~ spl35_383
| ~ spl35_152
| ~ spl35_362 ),
inference(avatar_split_clause,[],[f2930,f2886,f1303,f2973,f557]) ).
fof(f557,plain,
( spl35_7
<=> r1_borsuk_1(sK12,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_7])]) ).
fof(f2886,plain,
( spl35_362
<=> sP9(sK12,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_362])]) ).
fof(f2930,plain,
( ~ sP8(sK13,sK12)
| r1_borsuk_1(sK12,sK13)
| ~ spl35_152
| ~ spl35_362 ),
inference(resolution,[],[f2888,f1304]) ).
fof(f2888,plain,
( sP9(sK12,sK13)
| ~ spl35_362 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f2971,plain,
( spl35_382
| ~ spl35_135
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1563,f1520,f1142,f2969]) ).
fof(f2969,plain,
( spl35_382
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_382])]) ).
fof(f1563,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_135
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1143]) ).
fof(f2967,plain,
( spl35_381
| ~ spl35_134
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1562,f1520,f1135,f2965]) ).
fof(f2965,plain,
( spl35_381
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK22(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_381])]) ).
fof(f1562,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK22(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_134
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1136]) ).
fof(f2963,plain,
( spl35_380
| ~ spl35_133
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1561,f1520,f1131,f2961]) ).
fof(f2961,plain,
( spl35_380
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK22(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_380])]) ).
fof(f1561,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK22(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_133
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1132]) ).
fof(f2959,plain,
( spl35_379
| ~ spl35_132
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1560,f1520,f1127,f2957]) ).
fof(f2957,plain,
( spl35_379
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_379])]) ).
fof(f1560,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_132
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1128]) ).
fof(f2955,plain,
( spl35_378
| ~ spl35_131
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1559,f1520,f1123,f2953]) ).
fof(f2953,plain,
( spl35_378
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_378])]) ).
fof(f1559,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_131
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1124]) ).
fof(f2951,plain,
( spl35_377
| ~ spl35_130
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1558,f1520,f1119,f2949]) ).
fof(f2949,plain,
( spl35_377
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_377])]) ).
fof(f1558,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_130
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1120]) ).
fof(f2947,plain,
( spl35_376
| ~ spl35_129
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1557,f1520,f1115,f2945]) ).
fof(f2945,plain,
( spl35_376
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_376])]) ).
fof(f1557,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_129
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1116]) ).
fof(f2943,plain,
( spl35_375
| ~ spl35_128
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1556,f1520,f1111,f2941]) ).
fof(f2941,plain,
( spl35_375
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_375])]) ).
fof(f1556,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK22(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_128
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1112]) ).
fof(f2939,plain,
( spl35_374
| ~ spl35_127
| ~ spl35_183 ),
inference(avatar_split_clause,[],[f1555,f1520,f1107,f2937]) ).
fof(f2937,plain,
( spl35_374
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| sP5(sK22(X0))
| ~ v5_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_374])]) ).
fof(f1555,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| sP5(sK22(X0))
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl35_127
| ~ spl35_183 ),
inference(resolution,[],[f1521,f1108]) ).
fof(f2935,plain,
( spl35_373
| ~ spl35_137
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1549,f1516,f1150,f2933]) ).
fof(f2933,plain,
( spl35_373
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v1_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_373])]) ).
fof(f1549,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v1_membered(u1_struct_0(X0)) )
| ~ spl35_137
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1151]) ).
fof(f2929,plain,
( spl35_372
| ~ spl35_136
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1548,f1516,f1146,f2927]) ).
fof(f2927,plain,
( spl35_372
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK21(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_372])]) ).
fof(f1548,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK21(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_136
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1147]) ).
fof(f2925,plain,
( spl35_371
| ~ spl35_135
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1547,f1516,f1142,f2923]) ).
fof(f2923,plain,
( spl35_371
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_371])]) ).
fof(f1547,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_135
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1143]) ).
fof(f2921,plain,
( spl35_370
| ~ spl35_134
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1546,f1516,f1135,f2919]) ).
fof(f2919,plain,
( spl35_370
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK21(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_370])]) ).
fof(f1546,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK21(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_134
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1136]) ).
fof(f2917,plain,
( spl35_369
| ~ spl35_133
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1545,f1516,f1131,f2915]) ).
fof(f2915,plain,
( spl35_369
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK21(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_369])]) ).
fof(f1545,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK21(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_133
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1132]) ).
fof(f2913,plain,
( spl35_368
| ~ spl35_132
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1544,f1516,f1127,f2911]) ).
fof(f2911,plain,
( spl35_368
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_368])]) ).
fof(f1544,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_132
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1128]) ).
fof(f2909,plain,
( spl35_367
| ~ spl35_131
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1543,f1516,f1123,f2907]) ).
fof(f2907,plain,
( spl35_367
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_367])]) ).
fof(f1543,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v4_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_131
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1124]) ).
fof(f2905,plain,
( spl35_366
| ~ spl35_130
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1542,f1516,f1119,f2903]) ).
fof(f2903,plain,
( spl35_366
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_366])]) ).
fof(f1542,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v3_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_130
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1120]) ).
fof(f2901,plain,
( spl35_365
| ~ spl35_129
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1541,f1516,f1115,f2899]) ).
fof(f2899,plain,
( spl35_365
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_365])]) ).
fof(f1541,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v2_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_129
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1116]) ).
fof(f2897,plain,
( spl35_364
| ~ spl35_128
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1540,f1516,f1111,f2895]) ).
fof(f2895,plain,
( spl35_364
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_364])]) ).
fof(f1540,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_membered(sK21(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_128
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1112]) ).
fof(f2893,plain,
( spl35_363
| ~ spl35_127
| ~ spl35_182 ),
inference(avatar_split_clause,[],[f1539,f1516,f1107,f2891]) ).
fof(f2891,plain,
( spl35_363
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| sP5(sK21(X0))
| ~ v5_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_363])]) ).
fof(f1539,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| sP5(sK21(X0))
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl35_127
| ~ spl35_182 ),
inference(resolution,[],[f1517,f1108]) ).
fof(f2889,plain,
( spl35_1
| ~ spl35_2
| ~ spl35_3
| spl35_4
| spl35_362
| ~ spl35_175
| ~ spl35_185 ),
inference(avatar_split_clause,[],[f1595,f1576,f1482,f2886,f542,f537,f532,f527]) ).
fof(f1595,plain,
( sP9(sK12,sK13)
| v3_struct_0(sK13)
| ~ l1_pre_topc(sK12)
| ~ v2_pre_topc(sK12)
| v3_struct_0(sK12)
| ~ spl35_175
| ~ spl35_185 ),
inference(resolution,[],[f1577,f1484]) ).
fof(f2884,plain,
( spl35_361
| ~ spl35_168
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1461,f1385,f1377,f2882]) ).
fof(f1461,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK26(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) )
| ~ spl35_168
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1378]) ).
fof(f2880,plain,
( spl35_360
| ~ spl35_167
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1460,f1385,f1373,f2878]) ).
fof(f1460,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK25(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) )
| ~ spl35_167
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1374]) ).
fof(f2876,plain,
( spl35_359
| ~ spl35_166
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1459,f1385,f1369,f2874]) ).
fof(f1459,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK24(X1))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) )
| ~ spl35_166
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1370]) ).
fof(f2872,plain,
( spl35_358
| ~ spl35_162
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1457,f1385,f1353,f2870]) ).
fof(f1457,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK18(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) )
| ~ spl35_162
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1354]) ).
fof(f2868,plain,
( spl35_357
| ~ spl35_169
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1454,f1385,f1381,f2866]) ).
fof(f1454,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl35_169
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1382]) ).
fof(f2864,plain,
( spl35_356
| ~ spl35_138
| ~ spl35_143 ),
inference(avatar_split_clause,[],[f1284,f1174,f1154,f2862]) ).
fof(f1284,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0) )
| ~ spl35_138
| ~ spl35_143 ),
inference(resolution,[],[f1175,f1155]) ).
fof(f2860,plain,
( spl35_355
| ~ spl35_126
| ~ spl35_143 ),
inference(avatar_split_clause,[],[f1283,f1174,f1103,f2858]) ).
fof(f1283,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| r2_hidden(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_143 ),
inference(resolution,[],[f1175,f1104]) ).
fof(f2848,plain,
( ~ spl35_160
| spl35_354
| ~ spl35_105
| ~ spl35_259 ),
inference(avatar_split_clause,[],[f2415,f2350,f999,f2845,f1335]) ).
fof(f1335,plain,
( spl35_160
<=> sP11(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_160])]) ).
fof(f2845,plain,
( spl35_354
<=> v3_tops_1(k1_xboole_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_354])]) ).
fof(f2350,plain,
( spl35_259
<=> k1_xboole_0 = sK23(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_259])]) ).
fof(f2415,plain,
( v3_tops_1(k1_xboole_0,sK13)
| ~ sP11(sK13)
| ~ spl35_105
| ~ spl35_259 ),
inference(superposition,[],[f1000,f2352]) ).
fof(f2352,plain,
( k1_xboole_0 = sK23(sK13)
| ~ spl35_259 ),
inference(avatar_component_clause,[],[f2350]) ).
fof(f2841,plain,
( spl35_353
| ~ spl35_166
| ~ spl35_188 ),
inference(avatar_split_clause,[],[f1649,f1588,f1369,f2839]) ).
fof(f2839,plain,
( spl35_353
<=> ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v4_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_353])]) ).
fof(f1649,plain,
( ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v4_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_188 ),
inference(duplicate_literal_removal,[],[f1642]) ).
fof(f1642,plain,
( ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v4_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_188 ),
inference(resolution,[],[f1589,f1370]) ).
fof(f2837,plain,
( spl35_352
| ~ spl35_168
| ~ spl35_187 ),
inference(avatar_split_clause,[],[f1628,f1584,f1377,f2835]) ).
fof(f1628,plain,
( ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v3_pre_topc(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_187 ),
inference(duplicate_literal_removal,[],[f1625]) ).
fof(f1625,plain,
( ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v3_pre_topc(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_187 ),
inference(resolution,[],[f1585,f1378]) ).
fof(f2833,plain,
( spl35_351
| ~ spl35_166
| ~ spl35_186 ),
inference(avatar_split_clause,[],[f1611,f1580,f1369,f2831]) ).
fof(f1611,plain,
( ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v3_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_186 ),
inference(duplicate_literal_removal,[],[f1604]) ).
fof(f1604,plain,
( ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v3_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_186 ),
inference(resolution,[],[f1581,f1370]) ).
fof(f2829,plain,
( spl35_350
| ~ spl35_167
| ~ spl35_186 ),
inference(avatar_split_clause,[],[f1610,f1580,f1373,f2827]) ).
fof(f1610,plain,
( ! [X0] :
( ~ v1_xboole_0(sK25(X0))
| v3_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_186 ),
inference(duplicate_literal_removal,[],[f1605]) ).
fof(f1605,plain,
( ! [X0] :
( ~ v1_xboole_0(sK25(X0))
| v3_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_186 ),
inference(resolution,[],[f1581,f1374]) ).
fof(f2825,plain,
( spl35_349
| ~ spl35_168
| ~ spl35_186 ),
inference(avatar_split_clause,[],[f1609,f1580,f1377,f2823]) ).
fof(f1609,plain,
( ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v3_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_186 ),
inference(duplicate_literal_removal,[],[f1606]) ).
fof(f1606,plain,
( ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v3_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_186 ),
inference(resolution,[],[f1581,f1378]) ).
fof(f2821,plain,
( spl35_348
| ~ spl35_166
| ~ spl35_181 ),
inference(avatar_split_clause,[],[f1535,f1509,f1369,f2819]) ).
fof(f2819,plain,
( spl35_348
<=> ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v2_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_348])]) ).
fof(f1535,plain,
( ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v2_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_181 ),
inference(duplicate_literal_removal,[],[f1528]) ).
fof(f1528,plain,
( ! [X0] :
( ~ v1_xboole_0(sK24(X0))
| v2_tops_1(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_166
| ~ spl35_181 ),
inference(resolution,[],[f1510,f1370]) ).
fof(f2817,plain,
( spl35_347
| ~ spl35_167
| ~ spl35_181 ),
inference(avatar_split_clause,[],[f1534,f1509,f1373,f2815]) ).
fof(f2815,plain,
( spl35_347
<=> ! [X0] :
( ~ v1_xboole_0(sK25(X0))
| v2_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_347])]) ).
fof(f1534,plain,
( ! [X0] :
( ~ v1_xboole_0(sK25(X0))
| v2_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_181 ),
inference(duplicate_literal_removal,[],[f1529]) ).
fof(f1529,plain,
( ! [X0] :
( ~ v1_xboole_0(sK25(X0))
| v2_tops_1(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_167
| ~ spl35_181 ),
inference(resolution,[],[f1510,f1374]) ).
fof(f2813,plain,
( spl35_346
| ~ spl35_168
| ~ spl35_181 ),
inference(avatar_split_clause,[],[f1533,f1509,f1377,f2811]) ).
fof(f2811,plain,
( spl35_346
<=> ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v2_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_346])]) ).
fof(f1533,plain,
( ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v2_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_181 ),
inference(duplicate_literal_removal,[],[f1530]) ).
fof(f1530,plain,
( ! [X0] :
( ~ v1_xboole_0(sK26(X0))
| v2_tops_1(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_168
| ~ spl35_181 ),
inference(resolution,[],[f1510,f1378]) ).
fof(f2809,plain,
( spl35_345
| ~ spl35_120
| ~ spl35_181 ),
inference(avatar_split_clause,[],[f1523,f1509,f1068,f2807]) ).
fof(f1523,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| v2_tops_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,u1_struct_0(X1)) )
| ~ spl35_120
| ~ spl35_181 ),
inference(resolution,[],[f1510,f1069]) ).
fof(f2805,plain,
( spl35_344
| ~ spl35_146
| ~ spl35_174 ),
inference(avatar_split_clause,[],[f1487,f1478,f1187,f2803]) ).
fof(f2803,plain,
( spl35_344
<=> ! [X0,X1] :
( ~ sP8(X0,X1)
| m1_relset_1(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_344])]) ).
fof(f1187,plain,
( spl35_146
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_146])]) ).
fof(f1487,plain,
( ! [X0,X1] :
( ~ sP8(X0,X1)
| m1_relset_1(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ spl35_146
| ~ spl35_174 ),
inference(resolution,[],[f1479,f1188]) ).
fof(f1188,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl35_146 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f2801,plain,
( spl35_343
| ~ spl35_146
| ~ spl35_172 ),
inference(avatar_split_clause,[],[f1486,f1470,f1187,f2799]) ).
fof(f2799,plain,
( spl35_343
<=> ! [X0,X1] :
( ~ sP7(X0,X1)
| m1_relset_1(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_343])]) ).
fof(f1486,plain,
( ! [X0,X1] :
( ~ sP7(X0,X1)
| m1_relset_1(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0)) )
| ~ spl35_146
| ~ spl35_172 ),
inference(resolution,[],[f1471,f1188]) ).
fof(f2797,plain,
( spl35_342
| ~ spl35_158
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1451,f1381,f1327,f2795]) ).
fof(f1451,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl35_158
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1328]) ).
fof(f2793,plain,
( spl35_341
| ~ spl35_158
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1438,f1377,f1327,f2791]) ).
fof(f1438,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK26(X0)) )
| ~ spl35_158
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1328]) ).
fof(f2789,plain,
( spl35_340
| ~ spl35_158
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1425,f1373,f1327,f2787]) ).
fof(f1425,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK25(X0)) )
| ~ spl35_158
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1328]) ).
fof(f2785,plain,
( spl35_339
| ~ spl35_158
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1412,f1369,f1327,f2783]) ).
fof(f1412,plain,
( ! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK24(X0)) )
| ~ spl35_158
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1328]) ).
fof(f2771,plain,
( ~ spl35_160
| spl35_338
| ~ spl35_103
| ~ spl35_259 ),
inference(avatar_split_clause,[],[f2413,f2350,f991,f2768,f1335]) ).
fof(f2768,plain,
( spl35_338
<=> v4_pre_topc(k1_xboole_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_338])]) ).
fof(f991,plain,
( spl35_103
<=> ! [X0] :
( v4_pre_topc(sK23(X0),X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_103])]) ).
fof(f2413,plain,
( v4_pre_topc(k1_xboole_0,sK13)
| ~ sP11(sK13)
| ~ spl35_103
| ~ spl35_259 ),
inference(superposition,[],[f992,f2352]) ).
fof(f992,plain,
( ! [X0] :
( v4_pre_topc(sK23(X0),X0)
| ~ sP11(X0) )
| ~ spl35_103 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f2726,plain,
( ~ spl35_160
| spl35_337
| ~ spl35_102
| ~ spl35_259 ),
inference(avatar_split_clause,[],[f2412,f2350,f987,f2723,f1335]) ).
fof(f2723,plain,
( spl35_337
<=> v3_pre_topc(k1_xboole_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_337])]) ).
fof(f2412,plain,
( v3_pre_topc(k1_xboole_0,sK13)
| ~ sP11(sK13)
| ~ spl35_102
| ~ spl35_259 ),
inference(superposition,[],[f988,f2352]) ).
fof(f2721,plain,
( ~ spl35_145
| spl35_336
| ~ spl35_97
| ~ spl35_258 ),
inference(avatar_split_clause,[],[f2372,f2336,f967,f2718,f1182]) ).
fof(f1182,plain,
( spl35_145
<=> sP4(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_145])]) ).
fof(f2718,plain,
( spl35_336
<=> v2_tops_1(k1_xboole_0,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_336])]) ).
fof(f2336,plain,
( spl35_258
<=> k1_xboole_0 = sK17(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_258])]) ).
fof(f2372,plain,
( v2_tops_1(k1_xboole_0,sK13)
| ~ sP4(sK13)
| ~ spl35_97
| ~ spl35_258 ),
inference(superposition,[],[f968,f2338]) ).
fof(f2338,plain,
( k1_xboole_0 = sK17(sK13)
| ~ spl35_258 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2710,plain,
( spl35_335
| ~ spl35_138
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1458,f1385,f1154,f2708]) ).
fof(f2708,plain,
( spl35_335
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK23(X1))
| ~ sP11(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_335])]) ).
fof(f1458,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK23(X1))
| ~ sP11(X1) )
| ~ spl35_138
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1155]) ).
fof(f2706,plain,
( spl35_334
| ~ spl35_126
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1456,f1385,f1103,f2704]) ).
fof(f2704,plain,
( spl35_334
<=> ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK17(X1))
| ~ sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_334])]) ).
fof(f1456,plain,
( ! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(X1))
| ~ r2_hidden(X0,sK17(X1))
| ~ sP4(X1) )
| ~ spl35_126
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1104]) ).
fof(f2702,plain,
( spl35_333
| ~ spl35_137
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1450,f1381,f1150,f2700]) ).
fof(f1450,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v1_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_137
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1151]) ).
fof(f2698,plain,
( spl35_332
| ~ spl35_136
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1449,f1381,f1146,f2696]) ).
fof(f1449,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v2_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_136
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1147]) ).
fof(f2694,plain,
( ~ spl35_112
| spl35_331
| ~ spl35_105
| ~ spl35_234 ),
inference(avatar_split_clause,[],[f2311,f2209,f999,f2691,f1035]) ).
fof(f1035,plain,
( spl35_112
<=> sP11(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_112])]) ).
fof(f2691,plain,
( spl35_331
<=> v3_tops_1(k1_xboole_0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_331])]) ).
fof(f2209,plain,
( spl35_234
<=> k1_xboole_0 = sK23(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_234])]) ).
fof(f2311,plain,
( v3_tops_1(k1_xboole_0,sK12)
| ~ sP11(sK12)
| ~ spl35_105
| ~ spl35_234 ),
inference(superposition,[],[f1000,f2211]) ).
fof(f2211,plain,
( k1_xboole_0 = sK23(sK12)
| ~ spl35_234 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f2689,plain,
( spl35_330
| ~ spl35_135
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1448,f1381,f1142,f2687]) ).
fof(f1448,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v2_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_135
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1143]) ).
fof(f2685,plain,
( spl35_329
| ~ spl35_134
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1447,f1381,f1135,f2683]) ).
fof(f1447,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v3_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_134
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1136]) ).
fof(f2681,plain,
( spl35_328
| ~ spl35_133
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1446,f1381,f1131,f2679]) ).
fof(f1446,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_133
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1132]) ).
fof(f2677,plain,
( spl35_327
| ~ spl35_132
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1445,f1381,f1127,f2675]) ).
fof(f1445,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v3_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_132
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1128]) ).
fof(f2673,plain,
( spl35_326
| ~ spl35_131
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1444,f1381,f1123,f2671]) ).
fof(f1444,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v4_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_131
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1124]) ).
fof(f2669,plain,
( spl35_325
| ~ spl35_130
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1443,f1381,f1119,f2667]) ).
fof(f1443,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v3_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_130
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1120]) ).
fof(f2665,plain,
( spl35_324
| ~ spl35_129
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1442,f1381,f1115,f2663]) ).
fof(f1442,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v2_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_129
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1116]) ).
fof(f2661,plain,
( spl35_323
| ~ spl35_128
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1441,f1381,f1111,f2659]) ).
fof(f1441,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_membered(X0)
| ~ v4_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_128
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1112]) ).
fof(f2657,plain,
( spl35_322
| ~ spl35_127
| ~ spl35_169 ),
inference(avatar_split_clause,[],[f1440,f1381,f1107,f2655]) ).
fof(f1440,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| sP5(X0)
| ~ v5_membered(k2_zfmisc_1(X1,X2)) )
| ~ spl35_127
| ~ spl35_169 ),
inference(resolution,[],[f1382,f1108]) ).
fof(f2653,plain,
( spl35_321
| ~ spl35_137
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1437,f1377,f1150,f2651]) ).
fof(f2651,plain,
( spl35_321
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v1_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_321])]) ).
fof(f1437,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v1_membered(u1_struct_0(X0)) )
| ~ spl35_137
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1151]) ).
fof(f2649,plain,
( spl35_320
| ~ spl35_136
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1436,f1377,f1146,f2647]) ).
fof(f2647,plain,
( spl35_320
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK26(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_320])]) ).
fof(f1436,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK26(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_136
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1147]) ).
fof(f2645,plain,
( spl35_319
| ~ spl35_135
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1435,f1377,f1142,f2643]) ).
fof(f2643,plain,
( spl35_319
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_319])]) ).
fof(f1435,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_135
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1143]) ).
fof(f2641,plain,
( spl35_318
| ~ spl35_134
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1434,f1377,f1135,f2639]) ).
fof(f2639,plain,
( spl35_318
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK26(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_318])]) ).
fof(f1434,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK26(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_134
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1136]) ).
fof(f2637,plain,
( spl35_317
| ~ spl35_133
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1433,f1377,f1131,f2635]) ).
fof(f2635,plain,
( spl35_317
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK26(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_317])]) ).
fof(f1433,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK26(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_133
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1132]) ).
fof(f2633,plain,
( spl35_316
| ~ spl35_132
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1432,f1377,f1127,f2631]) ).
fof(f2631,plain,
( spl35_316
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_316])]) ).
fof(f1432,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_132
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1128]) ).
fof(f2629,plain,
( spl35_315
| ~ spl35_131
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1431,f1377,f1123,f2627]) ).
fof(f2627,plain,
( spl35_315
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_315])]) ).
fof(f1431,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_131
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1124]) ).
fof(f2625,plain,
( spl35_314
| ~ spl35_130
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1430,f1377,f1119,f2623]) ).
fof(f2623,plain,
( spl35_314
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_314])]) ).
fof(f1430,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_130
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1120]) ).
fof(f2621,plain,
( spl35_313
| ~ spl35_129
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1429,f1377,f1115,f2619]) ).
fof(f2619,plain,
( spl35_313
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_313])]) ).
fof(f1429,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_129
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1116]) ).
fof(f2617,plain,
( spl35_312
| ~ spl35_128
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1428,f1377,f1111,f2615]) ).
fof(f2615,plain,
( spl35_312
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_312])]) ).
fof(f1428,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK26(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_128
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1112]) ).
fof(f2613,plain,
( spl35_311
| ~ spl35_127
| ~ spl35_168 ),
inference(avatar_split_clause,[],[f1427,f1377,f1107,f2611]) ).
fof(f2611,plain,
( spl35_311
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP5(sK26(X0))
| ~ v5_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_311])]) ).
fof(f1427,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP5(sK26(X0))
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl35_127
| ~ spl35_168 ),
inference(resolution,[],[f1378,f1108]) ).
fof(f2609,plain,
( ~ spl35_112
| spl35_310
| ~ spl35_103
| ~ spl35_234 ),
inference(avatar_split_clause,[],[f2309,f2209,f991,f2606,f1035]) ).
fof(f2606,plain,
( spl35_310
<=> v4_pre_topc(k1_xboole_0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_310])]) ).
fof(f2309,plain,
( v4_pre_topc(k1_xboole_0,sK12)
| ~ sP11(sK12)
| ~ spl35_103
| ~ spl35_234 ),
inference(superposition,[],[f992,f2211]) ).
fof(f2604,plain,
( spl35_309
| ~ spl35_137
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1424,f1373,f1150,f2602]) ).
fof(f2602,plain,
( spl35_309
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v1_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_309])]) ).
fof(f1424,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v1_membered(u1_struct_0(X0)) )
| ~ spl35_137
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1151]) ).
fof(f2600,plain,
( spl35_308
| ~ spl35_136
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1423,f1373,f1146,f2598]) ).
fof(f2598,plain,
( spl35_308
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK25(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_308])]) ).
fof(f1423,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK25(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_136
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1147]) ).
fof(f2596,plain,
( spl35_307
| ~ spl35_135
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1422,f1373,f1142,f2594]) ).
fof(f2594,plain,
( spl35_307
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_307])]) ).
fof(f1422,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_135
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1143]) ).
fof(f2592,plain,
( spl35_306
| ~ spl35_134
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1421,f1373,f1135,f2590]) ).
fof(f2590,plain,
( spl35_306
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK25(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_306])]) ).
fof(f1421,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK25(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_134
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1136]) ).
fof(f2588,plain,
( spl35_305
| ~ spl35_133
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1420,f1373,f1131,f2586]) ).
fof(f2586,plain,
( spl35_305
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK25(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_305])]) ).
fof(f1420,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK25(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_133
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1132]) ).
fof(f2584,plain,
( spl35_304
| ~ spl35_132
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1419,f1373,f1127,f2582]) ).
fof(f2582,plain,
( spl35_304
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_304])]) ).
fof(f1419,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_132
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1128]) ).
fof(f2580,plain,
( spl35_303
| ~ spl35_131
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1418,f1373,f1123,f2578]) ).
fof(f2578,plain,
( spl35_303
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_303])]) ).
fof(f1418,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_131
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1124]) ).
fof(f2576,plain,
( spl35_302
| ~ spl35_130
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1417,f1373,f1119,f2574]) ).
fof(f2574,plain,
( spl35_302
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_302])]) ).
fof(f1417,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_130
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1120]) ).
fof(f2572,plain,
( spl35_301
| ~ spl35_129
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1416,f1373,f1115,f2570]) ).
fof(f2570,plain,
( spl35_301
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_301])]) ).
fof(f1416,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_129
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1116]) ).
fof(f2568,plain,
( spl35_300
| ~ spl35_128
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1415,f1373,f1111,f2566]) ).
fof(f2566,plain,
( spl35_300
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_300])]) ).
fof(f1415,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK25(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_128
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1112]) ).
fof(f2564,plain,
( spl35_299
| ~ spl35_127
| ~ spl35_167 ),
inference(avatar_split_clause,[],[f1414,f1373,f1107,f2562]) ).
fof(f2562,plain,
( spl35_299
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP5(sK25(X0))
| ~ v5_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_299])]) ).
fof(f1414,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP5(sK25(X0))
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl35_127
| ~ spl35_167 ),
inference(resolution,[],[f1374,f1108]) ).
fof(f2560,plain,
( spl35_298
| ~ spl35_137
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1411,f1369,f1150,f2558]) ).
fof(f2558,plain,
( spl35_298
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v1_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_298])]) ).
fof(f1411,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v1_membered(u1_struct_0(X0)) )
| ~ spl35_137
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1151]) ).
fof(f2556,plain,
( spl35_297
| ~ spl35_136
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1410,f1369,f1146,f2554]) ).
fof(f2554,plain,
( spl35_297
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK24(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_297])]) ).
fof(f1410,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK24(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_136
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1147]) ).
fof(f2552,plain,
( spl35_296
| ~ spl35_135
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1409,f1369,f1142,f2550]) ).
fof(f2550,plain,
( spl35_296
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_296])]) ).
fof(f1409,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_135
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1143]) ).
fof(f2548,plain,
( spl35_295
| ~ spl35_134
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1408,f1369,f1135,f2546]) ).
fof(f2546,plain,
( spl35_295
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK24(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_295])]) ).
fof(f1408,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK24(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_134
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1136]) ).
fof(f2544,plain,
( spl35_294
| ~ spl35_133
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1407,f1369,f1131,f2542]) ).
fof(f2542,plain,
( spl35_294
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK24(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_294])]) ).
fof(f1407,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK24(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_133
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1132]) ).
fof(f2540,plain,
( spl35_293
| ~ spl35_132
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1406,f1369,f1127,f2538]) ).
fof(f2538,plain,
( spl35_293
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_293])]) ).
fof(f1406,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_132
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1128]) ).
fof(f2536,plain,
( spl35_292
| ~ spl35_131
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1405,f1369,f1123,f2534]) ).
fof(f2534,plain,
( spl35_292
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_292])]) ).
fof(f1405,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v4_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_131
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1124]) ).
fof(f2532,plain,
( spl35_291
| ~ spl35_130
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1404,f1369,f1119,f2530]) ).
fof(f2530,plain,
( spl35_291
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_291])]) ).
fof(f1404,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_130
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1120]) ).
fof(f2528,plain,
( spl35_290
| ~ spl35_129
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1403,f1369,f1115,f2526]) ).
fof(f2526,plain,
( spl35_290
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_290])]) ).
fof(f1403,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v2_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_129
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1116]) ).
fof(f2524,plain,
( ~ spl35_112
| spl35_289
| ~ spl35_102
| ~ spl35_234 ),
inference(avatar_split_clause,[],[f2308,f2209,f987,f2521,f1035]) ).
fof(f2521,plain,
( spl35_289
<=> v3_pre_topc(k1_xboole_0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_289])]) ).
fof(f2308,plain,
( v3_pre_topc(k1_xboole_0,sK12)
| ~ sP11(sK12)
| ~ spl35_102
| ~ spl35_234 ),
inference(superposition,[],[f988,f2211]) ).
fof(f2519,plain,
( spl35_288
| ~ spl35_128
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1402,f1369,f1111,f2517]) ).
fof(f2517,plain,
( spl35_288
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_288])]) ).
fof(f1402,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v1_membered(sK24(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_128
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1112]) ).
fof(f2515,plain,
( spl35_287
| ~ spl35_127
| ~ spl35_166 ),
inference(avatar_split_clause,[],[f1401,f1369,f1107,f2513]) ).
fof(f2513,plain,
( spl35_287
<=> ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP5(sK24(X0))
| ~ v5_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_287])]) ).
fof(f1401,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| sP5(sK24(X0))
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl35_127
| ~ spl35_166 ),
inference(resolution,[],[f1370,f1108]) ).
fof(f2511,plain,
( spl35_286
| ~ spl35_137
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1398,f1353,f1150,f2509]) ).
fof(f2509,plain,
( spl35_286
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v1_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_286])]) ).
fof(f1398,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v1_membered(u1_struct_0(X0)) )
| ~ spl35_137
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1151]) ).
fof(f2507,plain,
( spl35_285
| ~ spl35_136
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1397,f1353,f1146,f2505]) ).
fof(f2505,plain,
( spl35_285
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v2_membered(sK18(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_285])]) ).
fof(f1397,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v2_membered(sK18(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_136
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1147]) ).
fof(f2503,plain,
( spl35_284
| ~ spl35_135
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1396,f1353,f1142,f2501]) ).
fof(f2501,plain,
( spl35_284
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v2_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_284])]) ).
fof(f1396,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v2_membered(u1_struct_0(X0)) )
| ~ spl35_135
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1143]) ).
fof(f2499,plain,
( spl35_283
| ~ spl35_134
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1395,f1353,f1135,f2497]) ).
fof(f2497,plain,
( spl35_283
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v3_membered(sK18(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_283])]) ).
fof(f1395,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v3_membered(sK18(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_134
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1136]) ).
fof(f2495,plain,
( spl35_282
| ~ spl35_133
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1394,f1353,f1131,f2493]) ).
fof(f2493,plain,
( spl35_282
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v2_membered(sK18(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_282])]) ).
fof(f1394,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v2_membered(sK18(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_133
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1132]) ).
fof(f2491,plain,
( spl35_281
| ~ spl35_132
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1393,f1353,f1127,f2489]) ).
fof(f2489,plain,
( spl35_281
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v3_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_281])]) ).
fof(f1393,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v3_membered(u1_struct_0(X0)) )
| ~ spl35_132
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1128]) ).
fof(f2487,plain,
( spl35_280
| ~ spl35_131
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1392,f1353,f1123,f2485]) ).
fof(f2485,plain,
( spl35_280
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v4_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_280])]) ).
fof(f1392,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v4_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_131
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1124]) ).
fof(f2483,plain,
( spl35_279
| ~ spl35_130
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1391,f1353,f1119,f2481]) ).
fof(f2481,plain,
( spl35_279
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v3_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_279])]) ).
fof(f1391,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v3_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_130
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1120]) ).
fof(f2479,plain,
( spl35_278
| ~ spl35_129
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1390,f1353,f1115,f2477]) ).
fof(f2477,plain,
( spl35_278
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v2_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_278])]) ).
fof(f1390,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v2_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_129
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1116]) ).
fof(f2475,plain,
( spl35_277
| ~ spl35_128
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1389,f1353,f1111,f2473]) ).
fof(f2473,plain,
( spl35_277
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_277])]) ).
fof(f1389,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_membered(sK18(X0))
| ~ v4_membered(u1_struct_0(X0)) )
| ~ spl35_128
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1112]) ).
fof(f2471,plain,
( spl35_276
| ~ spl35_127
| ~ spl35_162 ),
inference(avatar_split_clause,[],[f1388,f1353,f1107,f2469]) ).
fof(f2469,plain,
( spl35_276
<=> ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| sP5(sK18(X0))
| ~ v5_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_276])]) ).
fof(f1388,plain,
( ! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| sP5(sK18(X0))
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl35_127
| ~ spl35_162 ),
inference(resolution,[],[f1354,f1108]) ).
fof(f2467,plain,
( spl35_275
| ~ spl35_113
| ~ spl35_143 ),
inference(avatar_split_clause,[],[f1282,f1174,f1040,f2465]) ).
fof(f1282,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK14(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_143 ),
inference(resolution,[],[f1175,f1041]) ).
fof(f2463,plain,
( spl35_274
| ~ spl35_120
| ~ spl35_143 ),
inference(avatar_split_clause,[],[f1281,f1174,f1068,f2461]) ).
fof(f1281,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl35_120
| ~ spl35_143 ),
inference(resolution,[],[f1175,f1069]) ).
fof(f2451,plain,
( ~ spl35_69
| spl35_273
| ~ spl35_97
| ~ spl35_230 ),
inference(avatar_split_clause,[],[f2259,f2183,f967,f2448,f829]) ).
fof(f829,plain,
( spl35_69
<=> sP4(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_69])]) ).
fof(f2448,plain,
( spl35_273
<=> v2_tops_1(k1_xboole_0,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_273])]) ).
fof(f2183,plain,
( spl35_230
<=> k1_xboole_0 = sK17(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_230])]) ).
fof(f2259,plain,
( v2_tops_1(k1_xboole_0,sK12)
| ~ sP4(sK12)
| ~ spl35_97
| ~ spl35_230 ),
inference(superposition,[],[f968,f2185]) ).
fof(f2185,plain,
( k1_xboole_0 = sK17(sK12)
| ~ spl35_230 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2446,plain,
( ~ spl35_8
| spl35_272
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_188 ),
inference(avatar_split_clause,[],[f1653,f1588,f932,f875,f646,f2444,f562]) ).
fof(f2444,plain,
( spl35_272
<=> ! [X0] :
( v4_pre_topc(k1_xboole_0,X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_272])]) ).
fof(f1653,plain,
( ! [X0] :
( v4_pre_topc(k1_xboole_0,X0)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_188 ),
inference(forward_demodulation,[],[f1652,f950]) ).
fof(f1652,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_xboole_0)
| v4_pre_topc(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_188 ),
inference(forward_demodulation,[],[f1646,f950]) ).
fof(f1646,plain,
( ! [X0] :
( ~ v1_xboole_0(sK28(u1_struct_0(X0)))
| v4_pre_topc(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_92
| ~ spl35_188 ),
inference(resolution,[],[f1589,f933]) ).
fof(f2442,plain,
( ~ spl35_8
| spl35_271
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_187 ),
inference(avatar_split_clause,[],[f1634,f1584,f932,f875,f646,f2440,f562]) ).
fof(f1634,plain,
( ! [X0] :
( v3_pre_topc(k1_xboole_0,X0)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_187 ),
inference(forward_demodulation,[],[f1633,f950]) ).
fof(f1633,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_xboole_0)
| v3_pre_topc(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_187 ),
inference(forward_demodulation,[],[f1627,f950]) ).
fof(f1627,plain,
( ! [X0] :
( ~ v1_xboole_0(sK28(u1_struct_0(X0)))
| v3_pre_topc(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_92
| ~ spl35_187 ),
inference(resolution,[],[f1585,f933]) ).
fof(f2438,plain,
( ~ spl35_8
| spl35_270
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_186 ),
inference(avatar_split_clause,[],[f1615,f1580,f932,f875,f646,f2436,f562]) ).
fof(f1615,plain,
( ! [X0] :
( v3_tops_1(k1_xboole_0,X0)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_186 ),
inference(forward_demodulation,[],[f1614,f950]) ).
fof(f1614,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_xboole_0)
| v3_tops_1(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_186 ),
inference(forward_demodulation,[],[f1608,f950]) ).
fof(f1608,plain,
( ! [X0] :
( ~ v1_xboole_0(sK28(u1_struct_0(X0)))
| v3_tops_1(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_92
| ~ spl35_186 ),
inference(resolution,[],[f1581,f933]) ).
fof(f2434,plain,
( spl35_269
| ~ spl35_113
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1455,f1385,f1040,f2432]) ).
fof(f1455,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK14(X1))
| v1_xboole_0(X1) )
| ~ spl35_113
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1041]) ).
fof(f2430,plain,
( spl35_268
| ~ spl35_120
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1453,f1385,f1068,f2428]) ).
fof(f2428,plain,
( spl35_268
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_268])]) ).
fof(f1453,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl35_120
| ~ spl35_170 ),
inference(resolution,[],[f1386,f1069]) ).
fof(f2426,plain,
( spl35_267
| ~ spl35_138
| ~ spl35_158 ),
inference(avatar_split_clause,[],[f1344,f1327,f1154,f2424]) ).
fof(f2424,plain,
( spl35_267
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_267])]) ).
fof(f1344,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK23(X0))
| ~ sP11(X0) )
| ~ spl35_138
| ~ spl35_158 ),
inference(resolution,[],[f1328,f1155]) ).
fof(f2422,plain,
( spl35_266
| ~ spl35_126
| ~ spl35_158 ),
inference(avatar_split_clause,[],[f1343,f1327,f1103,f2420]) ).
fof(f2420,plain,
( spl35_266
<=> ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_266])]) ).
fof(f1343,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ r2_hidden(X1,sK17(X0))
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_158 ),
inference(resolution,[],[f1328,f1104]) ).
fof(f2394,plain,
( spl35_265
| ~ spl35_67
| ~ spl35_170 ),
inference(avatar_split_clause,[],[f1462,f1385,f814,f2392]) ).
fof(f1462,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK27(k1_zfmisc_1(X1))) )
| ~ spl35_67
| ~ spl35_170 ),
inference(resolution,[],[f1386,f815]) ).
fof(f2390,plain,
( spl35_264
| ~ spl35_120
| ~ spl35_158 ),
inference(avatar_split_clause,[],[f1341,f1327,f1068,f2388]) ).
fof(f2388,plain,
( spl35_264
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_264])]) ).
fof(f1341,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl35_120
| ~ spl35_158 ),
inference(resolution,[],[f1328,f1069]) ).
fof(f2386,plain,
( spl35_263
| ~ spl35_127
| ~ spl35_138 ),
inference(avatar_split_clause,[],[f1270,f1154,f1107,f2384]) ).
fof(f2384,plain,
( spl35_263
<=> ! [X0] :
( ~ sP11(X0)
| sP5(sK23(X0))
| ~ v5_membered(u1_struct_0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_263])]) ).
fof(f1270,plain,
( ! [X0] :
( ~ sP11(X0)
| sP5(sK23(X0))
| ~ v5_membered(u1_struct_0(X0)) )
| ~ spl35_127
| ~ spl35_138 ),
inference(resolution,[],[f1155,f1108]) ).
fof(f2382,plain,
( spl35_262
| ~ spl35_126
| ~ spl35_127 ),
inference(avatar_split_clause,[],[f1201,f1107,f1103,f2380]) ).
fof(f2380,plain,
( spl35_262
<=> ! [X0] :
( sP5(sK17(X0))
| ~ v5_membered(u1_struct_0(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_262])]) ).
fof(f1201,plain,
( ! [X0] :
( sP5(sK17(X0))
| ~ v5_membered(u1_struct_0(X0))
| ~ sP4(X0) )
| ~ spl35_126
| ~ spl35_127 ),
inference(resolution,[],[f1108,f1104]) ).
fof(f2378,plain,
( spl35_261
| ~ spl35_85
| ~ spl35_121 ),
inference(avatar_split_clause,[],[f1082,f1072,f903,f2376]) ).
fof(f1082,plain,
( ! [X0,X1] :
( sK23(X1) = X0
| ~ v1_xboole_0(X0)
| ~ sP11(X1) )
| ~ spl35_85
| ~ spl35_121 ),
inference(resolution,[],[f1073,f904]) ).
fof(f2365,plain,
( spl35_260
| ~ spl35_71
| ~ spl35_121 ),
inference(avatar_split_clause,[],[f1081,f1072,f846,f2363]) ).
fof(f1081,plain,
( ! [X0,X1] :
( sK17(X1) = X0
| ~ v1_xboole_0(X0)
| ~ sP4(X1) )
| ~ spl35_71
| ~ spl35_121 ),
inference(resolution,[],[f1073,f847]) ).
fof(f2353,plain,
( spl35_259
| ~ spl35_160
| ~ spl35_213 ),
inference(avatar_split_clause,[],[f2150,f2078,f1335,f2350]) ).
fof(f2150,plain,
( k1_xboole_0 = sK23(sK13)
| ~ spl35_160
| ~ spl35_213 ),
inference(resolution,[],[f2079,f1337]) ).
fof(f1337,plain,
( sP11(sK13)
| ~ spl35_160 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f2339,plain,
( spl35_258
| ~ spl35_145
| ~ spl35_212 ),
inference(avatar_split_clause,[],[f2148,f2074,f1182,f2336]) ).
fof(f2148,plain,
( k1_xboole_0 = sK17(sK13)
| ~ spl35_145
| ~ spl35_212 ),
inference(resolution,[],[f2075,f1184]) ).
fof(f1184,plain,
( sP4(sK13)
| ~ spl35_145 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f2325,plain,
( ~ spl35_8
| spl35_257
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_181 ),
inference(avatar_split_clause,[],[f1537,f1509,f932,f875,f646,f2323,f562]) ).
fof(f2323,plain,
( spl35_257
<=> ! [X0] :
( v2_tops_1(k1_xboole_0,X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_257])]) ).
fof(f1537,plain,
( ! [X0] :
( v2_tops_1(k1_xboole_0,X0)
| ~ v1_xboole_0(k1_xboole_0)
| ~ l1_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_181 ),
inference(forward_demodulation,[],[f1536,f950]) ).
fof(f1536,plain,
( ! [X0] :
( ~ v1_xboole_0(k1_xboole_0)
| v2_tops_1(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_181 ),
inference(forward_demodulation,[],[f1532,f950]) ).
fof(f1532,plain,
( ! [X0] :
( ~ v1_xboole_0(sK28(u1_struct_0(X0)))
| v2_tops_1(sK28(u1_struct_0(X0)),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_92
| ~ spl35_181 ),
inference(resolution,[],[f1510,f933]) ).
fof(f2321,plain,
( spl35_256
| ~ spl35_67
| ~ spl35_158 ),
inference(avatar_split_clause,[],[f1345,f1327,f814,f2319]) ).
fof(f1345,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK27(k1_zfmisc_1(X0))) )
| ~ spl35_67
| ~ spl35_158 ),
inference(resolution,[],[f1328,f815]) ).
fof(f2317,plain,
( spl35_255
| ~ spl35_95
| ~ spl35_157 ),
inference(avatar_split_clause,[],[f1340,f1323,f959,f2315]) ).
fof(f1340,plain,
( ! [X0] :
( v2_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_157 ),
inference(duplicate_literal_removal,[],[f1339]) ).
fof(f1339,plain,
( ! [X0] :
( v2_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_157 ),
inference(resolution,[],[f1324,f960]) ).
fof(f2301,plain,
( spl35_254
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_143 ),
inference(avatar_split_clause,[],[f1287,f1174,f932,f875,f646,f2299]) ).
fof(f2299,plain,
( spl35_254
<=> ! [X0] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_254])]) ).
fof(f1287,plain,
( ! [X0] :
( r2_hidden(k1_xboole_0,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_143 ),
inference(forward_demodulation,[],[f1286,f950]) ).
fof(f1286,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK28(X0),k1_zfmisc_1(X0)) )
| ~ spl35_92
| ~ spl35_143 ),
inference(resolution,[],[f1175,f933]) ).
fof(f2297,plain,
( spl35_253
| ~ spl35_113
| ~ spl35_137 ),
inference(avatar_split_clause,[],[f1265,f1150,f1040,f2295]) ).
fof(f2295,plain,
( spl35_253
<=> ! [X0] :
( v1_membered(sK14(X0))
| ~ v1_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_253])]) ).
fof(f1265,plain,
( ! [X0] :
( v1_membered(sK14(X0))
| ~ v1_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_137 ),
inference(resolution,[],[f1151,f1041]) ).
fof(f2293,plain,
( spl35_252
| ~ spl35_120
| ~ spl35_137 ),
inference(avatar_split_clause,[],[f1264,f1150,f1068,f2291]) ).
fof(f2291,plain,
( spl35_252
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_252])]) ).
fof(f1264,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v1_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_137 ),
inference(resolution,[],[f1151,f1069]) ).
fof(f2289,plain,
( spl35_251
| ~ spl35_113
| ~ spl35_136 ),
inference(avatar_split_clause,[],[f1259,f1146,f1040,f2287]) ).
fof(f2287,plain,
( spl35_251
<=> ! [X0] :
( v2_membered(sK14(X0))
| ~ v2_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_251])]) ).
fof(f1259,plain,
( ! [X0] :
( v2_membered(sK14(X0))
| ~ v2_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_136 ),
inference(resolution,[],[f1147,f1041]) ).
fof(f2285,plain,
( spl35_250
| ~ spl35_120
| ~ spl35_136 ),
inference(avatar_split_clause,[],[f1258,f1146,f1068,f2283]) ).
fof(f2283,plain,
( spl35_250
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_250])]) ).
fof(f1258,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_136 ),
inference(resolution,[],[f1147,f1069]) ).
fof(f2281,plain,
( spl35_249
| ~ spl35_113
| ~ spl35_135 ),
inference(avatar_split_clause,[],[f1253,f1142,f1040,f2279]) ).
fof(f2279,plain,
( spl35_249
<=> ! [X0] :
( v1_membered(sK14(X0))
| ~ v2_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_249])]) ).
fof(f1253,plain,
( ! [X0] :
( v1_membered(sK14(X0))
| ~ v2_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_135 ),
inference(resolution,[],[f1143,f1041]) ).
fof(f2277,plain,
( spl35_248
| ~ spl35_120
| ~ spl35_135 ),
inference(avatar_split_clause,[],[f1252,f1142,f1068,f2275]) ).
fof(f2275,plain,
( spl35_248
<=> ! [X0,X1] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_248])]) ).
fof(f1252,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v2_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_135 ),
inference(resolution,[],[f1143,f1069]) ).
fof(f2273,plain,
( spl35_247
| ~ spl35_113
| ~ spl35_134 ),
inference(avatar_split_clause,[],[f1247,f1135,f1040,f2271]) ).
fof(f2271,plain,
( spl35_247
<=> ! [X0] :
( v3_membered(sK14(X0))
| ~ v3_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_247])]) ).
fof(f1247,plain,
( ! [X0] :
( v3_membered(sK14(X0))
| ~ v3_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_134 ),
inference(resolution,[],[f1136,f1041]) ).
fof(f2269,plain,
( spl35_246
| ~ spl35_120
| ~ spl35_134 ),
inference(avatar_split_clause,[],[f1246,f1135,f1068,f2267]) ).
fof(f2267,plain,
( spl35_246
<=> ! [X0,X1] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_246])]) ).
fof(f1246,plain,
( ! [X0,X1] :
( v3_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_134 ),
inference(resolution,[],[f1136,f1069]) ).
fof(f2265,plain,
( spl35_245
| ~ spl35_113
| ~ spl35_133 ),
inference(avatar_split_clause,[],[f1241,f1131,f1040,f2263]) ).
fof(f2263,plain,
( spl35_245
<=> ! [X0] :
( v2_membered(sK14(X0))
| ~ v3_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_245])]) ).
fof(f1241,plain,
( ! [X0] :
( v2_membered(sK14(X0))
| ~ v3_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_133 ),
inference(resolution,[],[f1132,f1041]) ).
fof(f2252,plain,
( spl35_244
| ~ spl35_120
| ~ spl35_133 ),
inference(avatar_split_clause,[],[f1240,f1131,f1068,f2250]) ).
fof(f2250,plain,
( spl35_244
<=> ! [X0,X1] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_244])]) ).
fof(f1240,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_133 ),
inference(resolution,[],[f1132,f1069]) ).
fof(f2248,plain,
( spl35_243
| ~ spl35_113
| ~ spl35_132 ),
inference(avatar_split_clause,[],[f1235,f1127,f1040,f2246]) ).
fof(f2246,plain,
( spl35_243
<=> ! [X0] :
( v1_membered(sK14(X0))
| ~ v3_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_243])]) ).
fof(f1235,plain,
( ! [X0] :
( v1_membered(sK14(X0))
| ~ v3_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_132 ),
inference(resolution,[],[f1128,f1041]) ).
fof(f2244,plain,
( spl35_242
| ~ spl35_120
| ~ spl35_132 ),
inference(avatar_split_clause,[],[f1234,f1127,f1068,f2242]) ).
fof(f1234,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v3_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_132 ),
inference(resolution,[],[f1128,f1069]) ).
fof(f2240,plain,
( spl35_241
| ~ spl35_113
| ~ spl35_131 ),
inference(avatar_split_clause,[],[f1229,f1123,f1040,f2238]) ).
fof(f2238,plain,
( spl35_241
<=> ! [X0] :
( v4_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_241])]) ).
fof(f1229,plain,
( ! [X0] :
( v4_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_131 ),
inference(resolution,[],[f1124,f1041]) ).
fof(f2236,plain,
( spl35_240
| ~ spl35_120
| ~ spl35_131 ),
inference(avatar_split_clause,[],[f1228,f1123,f1068,f2234]) ).
fof(f2234,plain,
( spl35_240
<=> ! [X0,X1] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_240])]) ).
fof(f1228,plain,
( ! [X0,X1] :
( v4_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_131 ),
inference(resolution,[],[f1124,f1069]) ).
fof(f2232,plain,
( spl35_239
| ~ spl35_113
| ~ spl35_130 ),
inference(avatar_split_clause,[],[f1218,f1119,f1040,f2230]) ).
fof(f2230,plain,
( spl35_239
<=> ! [X0] :
( v3_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_239])]) ).
fof(f1218,plain,
( ! [X0] :
( v3_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_130 ),
inference(resolution,[],[f1120,f1041]) ).
fof(f2228,plain,
( spl35_238
| ~ spl35_120
| ~ spl35_130 ),
inference(avatar_split_clause,[],[f1217,f1119,f1068,f2226]) ).
fof(f2226,plain,
( spl35_238
<=> ! [X0,X1] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_238])]) ).
fof(f1217,plain,
( ! [X0,X1] :
( v3_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_130 ),
inference(resolution,[],[f1120,f1069]) ).
fof(f2224,plain,
( spl35_237
| ~ spl35_113
| ~ spl35_129 ),
inference(avatar_split_clause,[],[f1212,f1115,f1040,f2222]) ).
fof(f2222,plain,
( spl35_237
<=> ! [X0] :
( v2_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_237])]) ).
fof(f1212,plain,
( ! [X0] :
( v2_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_129 ),
inference(resolution,[],[f1116,f1041]) ).
fof(f2220,plain,
( spl35_236
| ~ spl35_120
| ~ spl35_129 ),
inference(avatar_split_clause,[],[f1211,f1115,f1068,f2218]) ).
fof(f1211,plain,
( ! [X0,X1] :
( v2_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_129 ),
inference(resolution,[],[f1116,f1069]) ).
fof(f2216,plain,
( spl35_235
| ~ spl35_113
| ~ spl35_128 ),
inference(avatar_split_clause,[],[f1206,f1111,f1040,f2214]) ).
fof(f2214,plain,
( spl35_235
<=> ! [X0] :
( v1_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_235])]) ).
fof(f1206,plain,
( ! [X0] :
( v1_membered(sK14(X0))
| ~ v4_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_128 ),
inference(resolution,[],[f1112,f1041]) ).
fof(f2212,plain,
( spl35_234
| ~ spl35_112
| ~ spl35_213 ),
inference(avatar_split_clause,[],[f2149,f2078,f1035,f2209]) ).
fof(f2149,plain,
( k1_xboole_0 = sK23(sK12)
| ~ spl35_112
| ~ spl35_213 ),
inference(resolution,[],[f2079,f1037]) ).
fof(f1037,plain,
( sP11(sK12)
| ~ spl35_112 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f2207,plain,
( spl35_233
| ~ spl35_120
| ~ spl35_128 ),
inference(avatar_split_clause,[],[f1205,f1111,f1068,f2205]) ).
fof(f1205,plain,
( ! [X0,X1] :
( v1_membered(X0)
| ~ v4_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_128 ),
inference(resolution,[],[f1112,f1069]) ).
fof(f2203,plain,
( spl35_232
| ~ spl35_113
| ~ spl35_127 ),
inference(avatar_split_clause,[],[f1200,f1107,f1040,f2201]) ).
fof(f1200,plain,
( ! [X0] :
( sP5(sK14(X0))
| ~ v5_membered(X0)
| v1_xboole_0(X0) )
| ~ spl35_113
| ~ spl35_127 ),
inference(resolution,[],[f1108,f1041]) ).
fof(f2199,plain,
( spl35_231
| ~ spl35_120
| ~ spl35_127 ),
inference(avatar_split_clause,[],[f1199,f1107,f1068,f2197]) ).
fof(f1199,plain,
( ! [X0,X1] :
( sP5(X0)
| ~ v5_membered(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl35_120
| ~ spl35_127 ),
inference(resolution,[],[f1108,f1069]) ).
fof(f2186,plain,
( spl35_230
| ~ spl35_69
| ~ spl35_212 ),
inference(avatar_split_clause,[],[f2146,f2074,f829,f2183]) ).
fof(f2146,plain,
( k1_xboole_0 = sK17(sK12)
| ~ spl35_69
| ~ spl35_212 ),
inference(resolution,[],[f2075,f831]) ).
fof(f831,plain,
( sP4(sK12)
| ~ spl35_69 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f2145,plain,
( spl35_229
| ~ spl35_109
| ~ spl35_147 ),
inference(avatar_split_clause,[],[f1289,f1191,f1020,f2143]) ).
fof(f1020,plain,
( spl35_109
<=> ! [X0,X1] : m1_relset_1(sK29(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_109])]) ).
fof(f1191,plain,
( spl35_147
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_147])]) ).
fof(f1289,plain,
( ! [X0,X1] : m2_relset_1(sK29(X0,X1),X0,X1)
| ~ spl35_109
| ~ spl35_147 ),
inference(resolution,[],[f1192,f1021]) ).
fof(f1021,plain,
( ! [X0,X1] : m1_relset_1(sK29(X0,X1),X0,X1)
| ~ spl35_109 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl35_147 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f2141,plain,
( spl35_228
| ~ spl35_110
| ~ spl35_146 ),
inference(avatar_split_clause,[],[f1288,f1187,f1024,f2139]) ).
fof(f2139,plain,
( spl35_228
<=> ! [X0,X1] : m1_relset_1(sK30(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_228])]) ).
fof(f1288,plain,
( ! [X0,X1] : m1_relset_1(sK30(X0,X1),X0,X1)
| ~ spl35_110
| ~ spl35_146 ),
inference(resolution,[],[f1188,f1025]) ).
fof(f2137,plain,
( spl35_227
| ~ spl35_67
| ~ spl35_143 ),
inference(avatar_split_clause,[],[f1285,f1174,f814,f2135]) ).
fof(f1285,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK27(X0),X0) )
| ~ spl35_67
| ~ spl35_143 ),
inference(resolution,[],[f1175,f815]) ).
fof(f2133,plain,
( spl35_226
| ~ spl35_67
| ~ spl35_137 ),
inference(avatar_split_clause,[],[f1267,f1150,f814,f2131]) ).
fof(f2131,plain,
( spl35_226
<=> ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_226])]) ).
fof(f1267,plain,
( ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v1_membered(X0) )
| ~ spl35_67
| ~ spl35_137 ),
inference(resolution,[],[f1151,f815]) ).
fof(f2129,plain,
( spl35_225
| ~ spl35_67
| ~ spl35_136 ),
inference(avatar_split_clause,[],[f1261,f1146,f814,f2127]) ).
fof(f2127,plain,
( spl35_225
<=> ! [X0] :
( v2_membered(sK27(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_225])]) ).
fof(f1261,plain,
( ! [X0] :
( v2_membered(sK27(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) )
| ~ spl35_67
| ~ spl35_136 ),
inference(resolution,[],[f1147,f815]) ).
fof(f2125,plain,
( spl35_224
| ~ spl35_67
| ~ spl35_135 ),
inference(avatar_split_clause,[],[f1255,f1142,f814,f2123]) ).
fof(f2123,plain,
( spl35_224
<=> ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_224])]) ).
fof(f1255,plain,
( ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v2_membered(X0) )
| ~ spl35_67
| ~ spl35_135 ),
inference(resolution,[],[f1143,f815]) ).
fof(f2121,plain,
( spl35_223
| ~ spl35_67
| ~ spl35_134 ),
inference(avatar_split_clause,[],[f1249,f1135,f814,f2119]) ).
fof(f2119,plain,
( spl35_223
<=> ! [X0] :
( v3_membered(sK27(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_223])]) ).
fof(f1249,plain,
( ! [X0] :
( v3_membered(sK27(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) )
| ~ spl35_67
| ~ spl35_134 ),
inference(resolution,[],[f1136,f815]) ).
fof(f2117,plain,
( spl35_222
| ~ spl35_67
| ~ spl35_133 ),
inference(avatar_split_clause,[],[f1243,f1131,f814,f2115]) ).
fof(f2115,plain,
( spl35_222
<=> ! [X0] :
( v2_membered(sK27(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_222])]) ).
fof(f1243,plain,
( ! [X0] :
( v2_membered(sK27(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) )
| ~ spl35_67
| ~ spl35_133 ),
inference(resolution,[],[f1132,f815]) ).
fof(f2113,plain,
( spl35_221
| ~ spl35_67
| ~ spl35_132 ),
inference(avatar_split_clause,[],[f1237,f1127,f814,f2111]) ).
fof(f2111,plain,
( spl35_221
<=> ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_221])]) ).
fof(f1237,plain,
( ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v3_membered(X0) )
| ~ spl35_67
| ~ spl35_132 ),
inference(resolution,[],[f1128,f815]) ).
fof(f2108,plain,
( spl35_220
| ~ spl35_67
| ~ spl35_131 ),
inference(avatar_split_clause,[],[f1231,f1123,f814,f2106]) ).
fof(f2106,plain,
( spl35_220
<=> ! [X0] :
( v4_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_220])]) ).
fof(f1231,plain,
( ! [X0] :
( v4_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) )
| ~ spl35_67
| ~ spl35_131 ),
inference(resolution,[],[f1124,f815]) ).
fof(f2104,plain,
( spl35_219
| ~ spl35_67
| ~ spl35_130 ),
inference(avatar_split_clause,[],[f1220,f1119,f814,f2102]) ).
fof(f2102,plain,
( spl35_219
<=> ! [X0] :
( v3_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_219])]) ).
fof(f1220,plain,
( ! [X0] :
( v3_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) )
| ~ spl35_67
| ~ spl35_130 ),
inference(resolution,[],[f1120,f815]) ).
fof(f2100,plain,
( spl35_218
| ~ spl35_67
| ~ spl35_129 ),
inference(avatar_split_clause,[],[f1214,f1115,f814,f2098]) ).
fof(f2098,plain,
( spl35_218
<=> ! [X0] :
( v2_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_218])]) ).
fof(f1214,plain,
( ! [X0] :
( v2_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) )
| ~ spl35_67
| ~ spl35_129 ),
inference(resolution,[],[f1116,f815]) ).
fof(f2096,plain,
( spl35_217
| ~ spl35_67
| ~ spl35_128 ),
inference(avatar_split_clause,[],[f1208,f1111,f814,f2094]) ).
fof(f2094,plain,
( spl35_217
<=> ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_217])]) ).
fof(f1208,plain,
( ! [X0] :
( v1_membered(sK27(k1_zfmisc_1(X0)))
| ~ v4_membered(X0) )
| ~ spl35_67
| ~ spl35_128 ),
inference(resolution,[],[f1112,f815]) ).
fof(f2092,plain,
( spl35_216
| ~ spl35_67
| ~ spl35_127 ),
inference(avatar_split_clause,[],[f1202,f1107,f814,f2090]) ).
fof(f1202,plain,
( ! [X0] :
( sP5(sK27(k1_zfmisc_1(X0)))
| ~ v5_membered(X0) )
| ~ spl35_67
| ~ spl35_127 ),
inference(resolution,[],[f1108,f815]) ).
fof(f2088,plain,
( spl35_215
| ~ spl35_95
| ~ spl35_125 ),
inference(avatar_split_clause,[],[f1198,f1099,f959,f2086]) ).
fof(f1099,plain,
( spl35_125
<=> ! [X0,X1] :
( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_125])]) ).
fof(f1198,plain,
( ! [X0] :
( m2_tsp_1(sK15(X0),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_125 ),
inference(duplicate_literal_removal,[],[f1197]) ).
fof(f1197,plain,
( ! [X0] :
( m2_tsp_1(sK15(X0),X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_125 ),
inference(resolution,[],[f1100,f960]) ).
fof(f1100,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_125 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f2084,plain,
( spl35_214
| ~ spl35_96
| ~ spl35_123 ),
inference(avatar_split_clause,[],[f1196,f1090,f963,f2082]) ).
fof(f1090,plain,
( spl35_123
<=> ! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_123])]) ).
fof(f1196,plain,
( ! [X0] :
( m1_pre_topc(sK16(X0),X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_96
| ~ spl35_123 ),
inference(duplicate_literal_removal,[],[f1195]) ).
fof(f1195,plain,
( ! [X0] :
( m1_pre_topc(sK16(X0),X0)
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_96
| ~ spl35_123 ),
inference(resolution,[],[f1091,f964]) ).
fof(f1091,plain,
( ! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_123 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f2080,plain,
( spl35_213
| ~ spl35_78
| ~ spl35_85 ),
inference(avatar_split_clause,[],[f952,f903,f875,f2078]) ).
fof(f952,plain,
( ! [X0] :
( ~ sP11(X0)
| k1_xboole_0 = sK23(X0) )
| ~ spl35_78
| ~ spl35_85 ),
inference(resolution,[],[f904,f876]) ).
fof(f2076,plain,
( spl35_212
| ~ spl35_71
| ~ spl35_78 ),
inference(avatar_split_clause,[],[f951,f875,f846,f2074]) ).
fof(f951,plain,
( ! [X0] :
( k1_xboole_0 = sK17(X0)
| ~ sP4(X0) )
| ~ spl35_71
| ~ spl35_78 ),
inference(resolution,[],[f876,f847]) ).
fof(f2069,plain,
( ~ spl35_124
| spl35_4
| ~ spl35_159
| spl35_210
| spl35_211
| ~ spl35_178
| ~ spl35_209 ),
inference(avatar_split_clause,[],[f1957,f1916,f1497,f2066,f2062,f1331,f542,f1094]) ).
fof(f2062,plain,
( spl35_210
<=> v1_tdlat_3(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_210])]) ).
fof(f2066,plain,
( spl35_211
<=> sP1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_211])]) ).
fof(f1957,plain,
( sP1(sK13)
| v1_tdlat_3(sK13)
| ~ v2_pre_topc(sK13)
| v3_struct_0(sK13)
| ~ l1_pre_topc(sK13)
| ~ spl35_178
| ~ spl35_209 ),
inference(resolution,[],[f1918,f1498]) ).
fof(f1918,plain,
( v2_t_0topsp(sK13)
| ~ spl35_209 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1919,plain,
( spl35_1
| ~ spl35_3
| ~ spl35_5
| spl35_4
| spl35_209
| ~ spl35_175
| ~ spl35_184 ),
inference(avatar_split_clause,[],[f1592,f1572,f1482,f1916,f542,f547,f537,f527]) ).
fof(f547,plain,
( spl35_5
<=> v2_tsp_2(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_5])]) ).
fof(f1592,plain,
( v2_t_0topsp(sK13)
| v3_struct_0(sK13)
| ~ v2_tsp_2(sK13,sK12)
| ~ l1_pre_topc(sK12)
| v3_struct_0(sK12)
| ~ spl35_175
| ~ spl35_184 ),
inference(resolution,[],[f1573,f1484]) ).
fof(f1897,plain,
( ~ spl35_8
| ~ spl35_207 ),
inference(avatar_contradiction_clause,[],[f1892]) ).
fof(f1892,plain,
( $false
| ~ spl35_8
| ~ spl35_207 ),
inference(resolution,[],[f1887,f564]) ).
fof(f1887,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl35_207 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f1886,plain,
( spl35_207
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_207])]) ).
fof(f1896,plain,
( ~ spl35_25
| ~ spl35_207 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1895,plain,
( $false
| ~ spl35_25
| ~ spl35_207 ),
inference(resolution,[],[f1887,f647]) ).
fof(f1891,plain,
( spl35_207
| spl35_208
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_158 ),
inference(avatar_split_clause,[],[f1347,f1327,f932,f875,f646,f1889,f1886]) ).
fof(f1889,plain,
( spl35_208
<=> ! [X1] : ~ r2_hidden(X1,k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_208])]) ).
fof(f1347,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k1_xboole_0)
| ~ v1_xboole_0(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_158 ),
inference(forward_demodulation,[],[f1346,f950]) ).
fof(f1346,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK28(X0)) )
| ~ spl35_92
| ~ spl35_158 ),
inference(resolution,[],[f1328,f933]) ).
fof(f1884,plain,
( spl35_206
| ~ spl35_96
| ~ spl35_115 ),
inference(avatar_split_clause,[],[f1079,f1048,f963,f1882]) ).
fof(f1048,plain,
( spl35_115
<=> ! [X0,X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_115])]) ).
fof(f1079,plain,
( ! [X0] :
( l1_pre_topc(sK16(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_96
| ~ spl35_115 ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
( ! [X0] :
( l1_pre_topc(sK16(X0))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_96
| ~ spl35_115 ),
inference(resolution,[],[f1049,f964]) ).
fof(f1049,plain,
( ! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) )
| ~ spl35_115 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1880,plain,
( spl35_205
| ~ spl35_95
| ~ spl35_114 ),
inference(avatar_split_clause,[],[f1076,f1044,f959,f1878]) ).
fof(f1044,plain,
( spl35_114
<=> ! [X0,X1] :
( l1_pre_topc(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_114])]) ).
fof(f1076,plain,
( ! [X0] :
( l1_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_114 ),
inference(duplicate_literal_removal,[],[f1075]) ).
fof(f1075,plain,
( ! [X0] :
( l1_pre_topc(sK15(X0))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X0) )
| ~ spl35_95
| ~ spl35_114 ),
inference(resolution,[],[f1045,f960]) ).
fof(f1045,plain,
( ! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| l1_pre_topc(X1)
| ~ l1_pre_topc(X0) )
| ~ spl35_114 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f1876,plain,
( spl35_204
| ~ spl35_64
| ~ spl35_85 ),
inference(avatar_split_clause,[],[f953,f903,f802,f1874]) ).
fof(f1874,plain,
( spl35_204
<=> ! [X0] :
( ~ sP11(X0)
| sP6(sK23(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_204])]) ).
fof(f953,plain,
( ! [X0] :
( ~ sP11(X0)
| sP6(sK23(X0)) )
| ~ spl35_64
| ~ spl35_85 ),
inference(resolution,[],[f904,f803]) ).
fof(f1872,plain,
( spl35_203
| ~ spl35_64
| ~ spl35_71 ),
inference(avatar_split_clause,[],[f939,f846,f802,f1870]) ).
fof(f1870,plain,
( spl35_203
<=> ! [X0] :
( ~ sP4(X0)
| sP6(sK17(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_203])]) ).
fof(f939,plain,
( ! [X0] :
( ~ sP4(X0)
| sP6(sK17(X0)) )
| ~ spl35_64
| ~ spl35_71 ),
inference(resolution,[],[f847,f803]) ).
fof(f1791,plain,
( ~ spl35_13
| ~ spl35_201 ),
inference(avatar_contradiction_clause,[],[f1786]) ).
fof(f1786,plain,
( $false
| ~ spl35_13
| ~ spl35_201 ),
inference(resolution,[],[f1780,f589]) ).
fof(f589,plain,
( v5_membered(k1_xboole_0)
| ~ spl35_13 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl35_13
<=> v5_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_13])]) ).
fof(f1780,plain,
( ! [X0] : ~ v5_membered(X0)
| ~ spl35_201 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f1779,plain,
( spl35_201
<=> ! [X0] : ~ v5_membered(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_201])]) ).
fof(f1790,plain,
( ~ spl35_21
| ~ spl35_201 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1789,plain,
( $false
| ~ spl35_21
| ~ spl35_201 ),
inference(resolution,[],[f1780,f629]) ).
fof(f1785,plain,
( spl35_201
| spl35_202
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_127 ),
inference(avatar_split_clause,[],[f1204,f1107,f932,f875,f646,f1782,f1779]) ).
fof(f1782,plain,
( spl35_202
<=> sP5(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_202])]) ).
fof(f1204,plain,
( ! [X0] :
( sP5(k1_xboole_0)
| ~ v5_membered(X0) )
| ~ spl35_25
| ~ spl35_78
| ~ spl35_92
| ~ spl35_127 ),
inference(forward_demodulation,[],[f1203,f950]) ).
fof(f1203,plain,
( ! [X0] :
( sP5(sK28(X0))
| ~ v5_membered(X0) )
| ~ spl35_92
| ~ spl35_127 ),
inference(resolution,[],[f1108,f933]) ).
fof(f1777,plain,
( ~ spl35_199
| spl35_200
| ~ spl35_15
| ~ spl35_106 ),
inference(avatar_split_clause,[],[f1033,f1003,f597,f1774,f1770]) ).
fof(f1770,plain,
( spl35_199
<=> v2_pre_topc(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_199])]) ).
fof(f1774,plain,
( spl35_200
<=> sP11(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_200])]) ).
fof(f1033,plain,
( sP11(sK32)
| ~ v2_pre_topc(sK32)
| ~ spl35_15
| ~ spl35_106 ),
inference(resolution,[],[f1004,f599]) ).
fof(f1768,plain,
( spl35_198
| ~ spl35_25
| ~ spl35_78 ),
inference(avatar_split_clause,[],[f950,f875,f646,f1766]) ).
fof(f1764,plain,
( spl35_1
| ~ spl35_2
| ~ spl35_3
| spl35_4
| ~ spl35_5
| spl35_197
| ~ spl35_6
| ~ spl35_191 ),
inference(avatar_split_clause,[],[f1688,f1685,f552,f1761,f547,f542,f537,f532,f527]) ).
fof(f552,plain,
( spl35_6
<=> m2_tsp_1(sK13,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_6])]) ).
fof(f1688,plain,
( sP7(sK13,sK12)
| ~ v2_tsp_2(sK13,sK12)
| v3_struct_0(sK13)
| ~ l1_pre_topc(sK12)
| ~ v2_pre_topc(sK12)
| v3_struct_0(sK12)
| ~ spl35_6
| ~ spl35_191 ),
inference(resolution,[],[f1686,f554]) ).
fof(f554,plain,
( m2_tsp_1(sK13,sK12)
| ~ spl35_6 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f1756,plain,
spl35_196,
inference(avatar_split_clause,[],[f450,f1754]) ).
fof(f450,plain,
! [X2,X0,X1] :
( sP8(X0,X1)
| ~ v3_borsuk_1(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0,X1] :
( ( sP8(X0,X1)
| ! [X2] :
( ~ v3_borsuk_1(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) ) )
& ( ( v3_borsuk_1(sK20(X0,X1),X1,X0)
& m2_relset_1(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(sK20(X0,X1),X1,X0)
& v1_funct_2(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK20(X0,X1)) )
| ~ sP8(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f282,f283]) ).
fof(f283,plain,
! [X0,X1] :
( ? [X3] :
( v3_borsuk_1(X3,X1,X0)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(X3,X1,X0)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
=> ( v3_borsuk_1(sK20(X0,X1),X1,X0)
& m2_relset_1(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(sK20(X0,X1),X1,X0)
& v1_funct_2(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0,X1] :
( ( sP8(X0,X1)
| ! [X2] :
( ~ v3_borsuk_1(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v5_pre_topc(X2,X1,X0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_funct_1(X2) ) )
& ( ? [X3] :
( v3_borsuk_1(X3,X1,X0)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(X3,X1,X0)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X3) )
| ~ sP8(X0,X1) ) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X1,X0] :
( ( sP8(X1,X0)
| ! [X2] :
( ~ v3_borsuk_1(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2) ) )
& ( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ sP8(X1,X0) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X1,X0] :
( sP8(X1,X0)
<=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1706,plain,
spl35_195,
inference(avatar_split_clause,[],[f478,f1704]) ).
fof(f478,plain,
! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0) )
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0) )
| ~ v2_tops_1(X1,X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v2_tops_1(X1,X0)
& v4_pre_topc(X1,X0) )
=> ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_tops_1) ).
fof(f1702,plain,
spl35_194,
inference(avatar_split_clause,[],[f476,f1700]) ).
fof(f476,plain,
! [X0,X1] :
( sP10(X0,X1)
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ! [X1] :
( sP10(X0,X1)
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(definition_folding,[],[f207,f250]) ).
fof(f250,plain,
! [X0,X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ sP10(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ v3_tops_1(X1,X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v3_tops_1(X1,X0)
& v3_pre_topc(X1,X0) )
=> ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_tops_1) ).
fof(f1698,plain,
spl35_193,
inference(avatar_split_clause,[],[f432,f1696]) ).
fof(f432,plain,
! [X0,X1] :
( ~ v3_realset2(X1)
| v2_tex_2(X1,X0)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ( ~ v2_t_0topsp(X1)
& ~ v3_realset2(X1)
& ~ v3_struct_0(X1) )
| v2_tex_2(X1,X0)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( ( ~ v2_t_0topsp(X1)
& ~ v3_realset2(X1)
& ~ v3_struct_0(X1) )
| v2_tex_2(X1,X0)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v2_t_0topsp(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ( ( ~ v2_tex_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ( ~ v2_t_0topsp(X1)
& ~ v3_realset2(X1)
& ~ v3_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_tsp_1) ).
fof(f1694,plain,
spl35_192,
inference(avatar_split_clause,[],[f430,f1692]) ).
fof(f430,plain,
! [X0,X1] :
( v2_tex_2(X1,X0)
| ~ v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( v2_tex_2(X1,X0)
& ~ v3_struct_0(X1) )
| ~ v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ( v2_tex_2(X1,X0)
& ~ v3_struct_0(X1) )
| ~ v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v2_t_0topsp(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ( ( v2_t_0topsp(X1)
& ~ v3_struct_0(X1) )
=> ( v2_tex_2(X1,X0)
& ~ v3_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_tsp_1) ).
fof(f1687,plain,
spl35_191,
inference(avatar_split_clause,[],[f442,f1685]) ).
fof(f442,plain,
! [X0,X1] :
( sP7(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( sP7(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f189,f245]) ).
fof(f245,plain,
! [X1,X0] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ sP7(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_tsp_2) ).
fof(f1661,plain,
spl35_190,
inference(avatar_split_clause,[],[f465,f1659]) ).
fof(f465,plain,
! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v3_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_tops_1(X1,X0)
=> v2_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_tops_1) ).
fof(f1657,plain,
spl35_189,
inference(avatar_split_clause,[],[f460,f1655]) ).
fof(f460,plain,
! [X0,X1] :
( v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ( v2_t_0topsp(X1)
& ~ v3_struct_0(X1) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( v2_t_0topsp(X1)
& ~ v3_struct_0(X1) )
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_t_0topsp(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ( ~ v3_struct_0(X1)
=> ( v2_t_0topsp(X1)
& ~ v3_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_tsp_1) ).
fof(f1590,plain,
spl35_188,
inference(avatar_split_clause,[],[f464,f1588]) ).
fof(f464,plain,
! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) )
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> ( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_tops_1) ).
fof(f1586,plain,
spl35_187,
inference(avatar_split_clause,[],[f463,f1584]) ).
fof(f463,plain,
! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f1582,plain,
spl35_186,
inference(avatar_split_clause,[],[f462,f1580]) ).
fof(f462,plain,
! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( v3_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> v3_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_tops_1) ).
fof(f1578,plain,
spl35_185,
inference(avatar_split_clause,[],[f451,f1576]) ).
fof(f451,plain,
! [X0,X1] :
( sP9(X0,X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( sP9(X0,X1)
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f191,f248,f247]) ).
fof(f248,plain,
! [X0,X1] :
( ( r1_borsuk_1(X0,X1)
<=> sP8(X1,X0) )
| ~ sP9(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) )
| ~ m1_pre_topc(X1,X0)
| v3_struct_0(X1) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_pre_topc(X1,X0)
& ~ v3_struct_0(X1) )
=> ( r1_borsuk_1(X0,X1)
<=> ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_borsuk_1) ).
fof(f1574,plain,
spl35_184,
inference(avatar_split_clause,[],[f426,f1572]) ).
fof(f426,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,X0)
| v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( ~ v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
| v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( ~ v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
| v2_t_0topsp(X1)
| v3_struct_0(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> ( ( ~ v2_t_0topsp(X1)
& ~ v3_struct_0(X1) )
=> ( ~ v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_tsp_2) ).
fof(f1570,plain,
( ~ spl35_2
| ~ spl35_3
| spl35_159
| ~ spl35_157
| ~ spl35_175 ),
inference(avatar_split_clause,[],[f1512,f1482,f1323,f1331,f537,f532]) ).
fof(f1512,plain,
( v2_pre_topc(sK13)
| ~ l1_pre_topc(sK12)
| ~ v2_pre_topc(sK12)
| ~ spl35_157
| ~ spl35_175 ),
inference(resolution,[],[f1484,f1324]) ).
fof(f1522,plain,
spl35_183,
inference(avatar_split_clause,[],[f456,f1520]) ).
fof(f456,plain,
! [X0] :
( m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( v4_pre_topc(sK22(X0),X0)
& ~ v1_xboole_0(sK22(X0))
& m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f195,f287]) ).
fof(f287,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK22(X0),X0)
& ~ v1_xboole_0(sK22(X0))
& m1_subset_1(sK22(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_pre_topc) ).
fof(f1518,plain,
spl35_182,
inference(avatar_split_clause,[],[f452,f1516]) ).
fof(f452,plain,
! [X0] :
( m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( v4_pre_topc(sK21(X0),X0)
& v3_pre_topc(sK21(X0),X0)
& ~ v1_xboole_0(sK21(X0))
& m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f193,f285]) ).
fof(f285,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK21(X0),X0)
& v3_pre_topc(sK21(X0),X0)
& ~ v1_xboole_0(sK21(X0))
& m1_subset_1(sK21(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_tops_1) ).
fof(f1511,plain,
spl35_181,
inference(avatar_split_clause,[],[f381,f1509]) ).
fof(f381,plain,
! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( v2_tops_1(X1,X0)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_xboole_0(X1)
=> v2_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_tops_1) ).
fof(f1507,plain,
spl35_180,
inference(avatar_split_clause,[],[f375,f1505]) ).
fof(f1505,plain,
( spl35_180
<=> ! [X0] :
( sP3(X0)
| ~ v2_t_0topsp(X0)
| ~ v3_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_180])]) ).
fof(f375,plain,
! [X0] :
( sP3(X0)
| ~ v2_t_0topsp(X0)
| ~ v3_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP3(X0)
| ~ v2_t_0topsp(X0)
| ~ v3_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f148,f237]) ).
fof(f237,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f148,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
| ~ v2_t_0topsp(X0)
| ~ v3_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
| ~ v2_t_0topsp(X0)
| ~ v3_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f99]) ).
fof(f99,plain,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_t_0topsp(X0)
& v4_tdlat_3(X0)
& v3_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_t_0topsp(X0)
& v5_tdlat_3(X0)
& v4_tdlat_3(X0)
& v3_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc8_tsp_1) ).
fof(f1503,plain,
spl35_179,
inference(avatar_split_clause,[],[f369,f1501]) ).
fof(f1501,plain,
( spl35_179
<=> ! [X0] :
( sP2(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_179])]) ).
fof(f369,plain,
! [X0] :
( sP2(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( sP2(X0)
| ~ v2_t_0topsp(X0)
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f146,f235]) ).
fof(f235,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f146,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v2_t_0topsp(X0)
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v2_t_0topsp(X0)
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_t_0topsp(X0)
& v2_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f100]) ).
fof(f100,plain,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_t_0topsp(X0)
& v2_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_t_0topsp(X0)
& v4_tdlat_3(X0)
& v3_tdlat_3(X0)
& v2_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
inference(pure_predicate_removal,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_t_0topsp(X0)
& v2_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( v2_t_0topsp(X0)
& v5_tdlat_3(X0)
& v4_tdlat_3(X0)
& v3_tdlat_3(X0)
& v2_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_tsp_1) ).
fof(f1499,plain,
spl35_178,
inference(avatar_split_clause,[],[f357,f1497]) ).
fof(f357,plain,
! [X0] :
( sP1(X0)
| ~ v2_t_0topsp(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP1(X0)
| ~ v2_t_0topsp(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f142,f233]) ).
fof(f233,plain,
! [X0] :
( ( ~ v3_tdlat_3(X0)
& ~ v2_tdlat_3(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f142,plain,
! [X0] :
( ( ~ v3_tdlat_3(X0)
& ~ v2_tdlat_3(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v2_t_0topsp(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( ~ v3_tdlat_3(X0)
& ~ v2_tdlat_3(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v2_t_0topsp(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_t_0topsp(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v3_tdlat_3(X0)
& ~ v2_tdlat_3(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_tsp_1) ).
fof(f1495,plain,
spl35_177,
inference(avatar_split_clause,[],[f350,f1493]) ).
fof(f1493,plain,
( spl35_177
<=> ! [X0] :
( sP0(X0)
| ~ v3_tdlat_3(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_177])]) ).
fof(f350,plain,
! [X0] :
( sP0(X0)
| ~ v3_tdlat_3(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP0(X0)
| ~ v3_tdlat_3(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f140,f231]) ).
fof(f231,plain,
! [X0] :
( ( ~ v2_t_0topsp(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f140,plain,
! [X0] :
( ( ~ v2_t_0topsp(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v3_tdlat_3(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( ~ v2_t_0topsp(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v3_tdlat_3(X0)
| v1_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v3_tdlat_3(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v2_t_0topsp(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc9_tsp_1) ).
fof(f1491,plain,
spl35_176,
inference(avatar_split_clause,[],[f336,f1489]) ).
fof(f1489,plain,
( spl35_176
<=> ! [X0] :
( ~ v2_t_0topsp(X0)
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_realset2(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_176])]) ).
fof(f336,plain,
! [X0] :
( ~ v2_t_0topsp(X0)
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_realset2(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( ~ v2_t_0topsp(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_realset2(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( ~ v2_t_0topsp(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ v2_tdlat_3(X0)
| ~ v2_pre_topc(X0)
| v3_realset2(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( ( v2_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v2_t_0topsp(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_tsp_1) ).
fof(f1485,plain,
( ~ spl35_3
| spl35_175
| ~ spl35_6
| ~ spl35_123 ),
inference(avatar_split_clause,[],[f1194,f1090,f552,f1482,f537]) ).
fof(f1194,plain,
( m1_pre_topc(sK13,sK12)
| ~ l1_pre_topc(sK12)
| ~ spl35_6
| ~ spl35_123 ),
inference(resolution,[],[f1091,f554]) ).
fof(f1480,plain,
spl35_174,
inference(avatar_split_clause,[],[f448,f1478]) ).
fof(f448,plain,
! [X0,X1] :
( m2_relset_1(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1476,plain,
spl35_173,
inference(avatar_split_clause,[],[f446,f1474]) ).
fof(f1474,plain,
( spl35_173
<=> ! [X0,X1] :
( v1_funct_2(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_173])]) ).
fof(f446,plain,
! [X0,X1] :
( v1_funct_2(sK20(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1472,plain,
spl35_172,
inference(avatar_split_clause,[],[f440,f1470]) ).
fof(f440,plain,
! [X0,X1] :
( m2_relset_1(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
! [X0,X1] :
( ( v3_borsuk_1(sK19(X0,X1),X1,X0)
& m2_relset_1(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(sK19(X0,X1),X1,X0)
& v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK19(X0,X1)) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f277,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ? [X2] :
( v3_borsuk_1(X2,X1,X0)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
=> ( v3_borsuk_1(sK19(X0,X1),X1,X0)
& m2_relset_1(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(sK19(X0,X1),X1,X0)
& v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
! [X0,X1] :
( ? [X2] :
( v3_borsuk_1(X2,X1,X0)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
& v5_pre_topc(X2,X1,X0)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_funct_1(X2) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f276]) ).
fof(f276,plain,
! [X1,X0] :
( ? [X2] :
( v3_borsuk_1(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_funct_1(X2) )
| ~ sP7(X1,X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f1468,plain,
spl35_171,
inference(avatar_split_clause,[],[f438,f1466]) ).
fof(f438,plain,
! [X0,X1] :
( v1_funct_2(sK19(X0,X1),u1_struct_0(X1),u1_struct_0(X0))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1387,plain,
spl35_170,
inference(avatar_split_clause,[],[f512,f1385]) ).
fof(f512,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,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(f1383,plain,
spl35_169,
inference(avatar_split_clause,[],[f511,f1381]) ).
fof(f511,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,[],[f227]) ).
fof(f227,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,[],[f59]) ).
fof(f59,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(f1379,plain,
spl35_168,
inference(avatar_split_clause,[],[f496,f1377]) ).
fof(f496,plain,
! [X0] :
( m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0] :
( ( v4_pre_topc(sK26(X0),X0)
& m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f217,f297]) ).
fof(f297,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK26(X0),X0)
& m1_subset_1(sK26(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).
fof(f1375,plain,
spl35_167,
inference(avatar_split_clause,[],[f493,f1373]) ).
fof(f493,plain,
! [X0] :
( m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( v4_pre_topc(sK25(X0),X0)
& v3_pre_topc(sK25(X0),X0)
& m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f215,f295]) ).
fof(f295,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v4_pre_topc(sK25(X0),X0)
& v3_pre_topc(sK25(X0),X0)
& m1_subset_1(sK25(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_tops_1) ).
fof(f1371,plain,
spl35_166,
inference(avatar_split_clause,[],[f491,f1369]) ).
fof(f491,plain,
! [X0] :
( m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( v3_pre_topc(sK24(X0),X0)
& m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f213,f293]) ).
fof(f293,plain,
! [X0] :
( ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v3_pre_topc(sK24(X0),X0)
& m1_subset_1(sK24(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0] :
( ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_pre_topc(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
fof(f1367,plain,
spl35_165,
inference(avatar_split_clause,[],[f458,f1365]) ).
fof(f1365,plain,
( spl35_165
<=> ! [X0] :
( v4_pre_topc(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_165])]) ).
fof(f458,plain,
! [X0] :
( v4_pre_topc(sK22(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1363,plain,
spl35_164,
inference(avatar_split_clause,[],[f455,f1361]) ).
fof(f1361,plain,
( spl35_164
<=> ! [X0] :
( v4_pre_topc(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_164])]) ).
fof(f455,plain,
! [X0] :
( v4_pre_topc(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1359,plain,
spl35_163,
inference(avatar_split_clause,[],[f454,f1357]) ).
fof(f1357,plain,
( spl35_163
<=> ! [X0] :
( v3_pre_topc(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_163])]) ).
fof(f454,plain,
! [X0] :
( v3_pre_topc(sK21(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1355,plain,
spl35_162,
inference(avatar_split_clause,[],[f423,f1353]) ).
fof(f423,plain,
! [X0] :
( m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ( ~ v1_xboole_0(sK18(X0))
& m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f173,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ~ v1_xboole_0(sK18(X0))
& m1_subset_1(sK18(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f173,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,[],[f172]) ).
fof(f172,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,[],[f81]) ).
fof(f81,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(f1351,plain,
spl35_161,
inference(avatar_split_clause,[],[f361,f1349]) ).
fof(f1349,plain,
( spl35_161
<=> ! [X0] :
( ~ v1_tdlat_3(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_161])]) ).
fof(f361,plain,
! [X0] :
( ~ v1_tdlat_3(X0)
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( ( ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| v2_t_0topsp(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( ( ~ v2_t_0topsp(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_tsp_1) ).
fof(f1338,plain,
( ~ spl35_159
| spl35_160
| ~ spl35_106
| ~ spl35_124 ),
inference(avatar_split_clause,[],[f1138,f1094,f1003,f1335,f1331]) ).
fof(f1138,plain,
( sP11(sK13)
| ~ v2_pre_topc(sK13)
| ~ spl35_106
| ~ spl35_124 ),
inference(resolution,[],[f1096,f1004]) ).
fof(f1329,plain,
spl35_158,
inference(avatar_split_clause,[],[f515,f1327]) ).
fof(f515,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,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(f1325,plain,
spl35_157,
inference(avatar_split_clause,[],[f461,f1323]) ).
fof(f461,plain,
! [X0,X1] :
( v2_pre_topc(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( v2_pre_topc(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( v2_pre_topc(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> v2_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_pre_topc) ).
fof(f1321,plain,
spl35_156,
inference(avatar_split_clause,[],[f457,f1319]) ).
fof(f1319,plain,
( spl35_156
<=> ! [X0] :
( ~ v1_xboole_0(sK22(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_156])]) ).
fof(f457,plain,
! [X0] :
( ~ v1_xboole_0(sK22(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1317,plain,
spl35_155,
inference(avatar_split_clause,[],[f453,f1315]) ).
fof(f1315,plain,
( spl35_155
<=> ! [X0] :
( ~ v1_xboole_0(sK21(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_155])]) ).
fof(f453,plain,
! [X0] :
( ~ v1_xboole_0(sK21(X0))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1313,plain,
spl35_154,
inference(avatar_split_clause,[],[f449,f1311]) ).
fof(f1311,plain,
( spl35_154
<=> ! [X0,X1] :
( v3_borsuk_1(sK20(X0,X1),X1,X0)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_154])]) ).
fof(f449,plain,
! [X0,X1] :
( v3_borsuk_1(sK20(X0,X1),X1,X0)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1309,plain,
spl35_153,
inference(avatar_split_clause,[],[f447,f1307]) ).
fof(f1307,plain,
( spl35_153
<=> ! [X0,X1] :
( v5_pre_topc(sK20(X0,X1),X1,X0)
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_153])]) ).
fof(f447,plain,
! [X0,X1] :
( v5_pre_topc(sK20(X0,X1),X1,X0)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1305,plain,
spl35_152,
inference(avatar_split_clause,[],[f444,f1303]) ).
fof(f444,plain,
! [X0,X1] :
( r1_borsuk_1(X0,X1)
| ~ sP8(X1,X0)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1] :
( ( ( r1_borsuk_1(X0,X1)
| ~ sP8(X1,X0) )
& ( sP8(X1,X0)
| ~ r1_borsuk_1(X0,X1) ) )
| ~ sP9(X0,X1) ),
inference(nnf_transformation,[],[f248]) ).
fof(f1301,plain,
spl35_151,
inference(avatar_split_clause,[],[f443,f1299]) ).
fof(f443,plain,
! [X0,X1] :
( sP8(X1,X0)
| ~ r1_borsuk_1(X0,X1)
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1297,plain,
spl35_150,
inference(avatar_split_clause,[],[f441,f1295]) ).
fof(f441,plain,
! [X0,X1] :
( v3_borsuk_1(sK19(X0,X1),X1,X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1293,plain,
spl35_149,
inference(avatar_split_clause,[],[f439,f1291]) ).
fof(f439,plain,
! [X0,X1] :
( v5_pre_topc(sK19(X0,X1),X1,X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1227,plain,
( spl35_148
| ~ spl35_27
| ~ spl35_124 ),
inference(avatar_split_clause,[],[f1140,f1094,f654,f1224]) ).
fof(f1224,plain,
( spl35_148
<=> l1_struct_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_148])]) ).
fof(f1140,plain,
( l1_struct_0(sK13)
| ~ spl35_27
| ~ spl35_124 ),
inference(resolution,[],[f1096,f655]) ).
fof(f1193,plain,
spl35_147,
inference(avatar_split_clause,[],[f514,f1191]) ).
fof(f514,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,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,[],[f85]) ).
fof(f85,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(f1189,plain,
spl35_146,
inference(avatar_split_clause,[],[f513,f1187]) ).
fof(f513,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1185,plain,
( spl35_145
| ~ spl35_51
| ~ spl35_124 ),
inference(avatar_split_clause,[],[f1139,f1094,f750,f1182]) ).
fof(f1139,plain,
( sP4(sK13)
| ~ spl35_51
| ~ spl35_124 ),
inference(resolution,[],[f1096,f751]) ).
fof(f1180,plain,
spl35_144,
inference(avatar_split_clause,[],[f505,f1178]) ).
fof(f1178,plain,
( spl35_144
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_144])]) ).
fof(f505,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,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(f1176,plain,
spl35_143,
inference(avatar_split_clause,[],[f504,f1174]) ).
fof(f504,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,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(f1172,plain,
spl35_142,
inference(avatar_split_clause,[],[f497,f1170]) ).
fof(f1170,plain,
( spl35_142
<=> ! [X0] :
( v4_pre_topc(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_142])]) ).
fof(f497,plain,
! [X0] :
( v4_pre_topc(sK26(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f1168,plain,
spl35_141,
inference(avatar_split_clause,[],[f495,f1166]) ).
fof(f1166,plain,
( spl35_141
<=> ! [X0] :
( v4_pre_topc(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_141])]) ).
fof(f495,plain,
! [X0] :
( v4_pre_topc(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1164,plain,
spl35_140,
inference(avatar_split_clause,[],[f494,f1162]) ).
fof(f494,plain,
! [X0] :
( v3_pre_topc(sK25(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f1160,plain,
spl35_139,
inference(avatar_split_clause,[],[f492,f1158]) ).
fof(f492,plain,
! [X0] :
( v3_pre_topc(sK24(X0),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f1156,plain,
spl35_138,
inference(avatar_split_clause,[],[f479,f1154]) ).
fof(f479,plain,
! [X0] :
( m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ( v3_tops_1(sK23(X0),X0)
& v2_tops_1(sK23(X0),X0)
& v5_membered(sK23(X0))
& v4_membered(sK23(X0))
& v3_membered(sK23(X0))
& v2_membered(sK23(X0))
& v1_membered(sK23(X0))
& v4_pre_topc(sK23(X0),X0)
& v3_pre_topc(sK23(X0),X0)
& v1_xboole_0(sK23(X0))
& m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f290,f291]) ).
fof(f291,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v3_tops_1(sK23(X0),X0)
& v2_tops_1(sK23(X0),X0)
& v5_membered(sK23(X0))
& v4_membered(sK23(X0))
& v3_membered(sK23(X0))
& v2_membered(sK23(X0))
& v1_membered(sK23(X0))
& v4_pre_topc(sK23(X0),X0)
& v3_pre_topc(sK23(X0),X0)
& v1_xboole_0(sK23(X0))
& m1_subset_1(sK23(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1152,plain,
spl35_137,
inference(avatar_split_clause,[],[f421,f1150]) ).
fof(f421,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v1_membered(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v1_membered(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( v1_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> v1_membered(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).
fof(f1148,plain,
spl35_136,
inference(avatar_split_clause,[],[f420,f1146]) ).
fof(f420,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( v2_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc17_membered) ).
fof(f1144,plain,
spl35_135,
inference(avatar_split_clause,[],[f419,f1142]) ).
fof(f419,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f1137,plain,
spl35_134,
inference(avatar_split_clause,[],[f417,f1135]) ).
fof(f417,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( v3_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc18_membered) ).
fof(f1133,plain,
spl35_133,
inference(avatar_split_clause,[],[f416,f1131]) ).
fof(f416,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1129,plain,
spl35_132,
inference(avatar_split_clause,[],[f415,f1127]) ).
fof(f415,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1125,plain,
spl35_131,
inference(avatar_split_clause,[],[f406,f1123]) ).
fof(f406,plain,
! [X0,X1] :
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( v4_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc19_membered) ).
fof(f1121,plain,
spl35_130,
inference(avatar_split_clause,[],[f405,f1119]) ).
fof(f405,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f1117,plain,
spl35_129,
inference(avatar_split_clause,[],[f404,f1115]) ).
fof(f404,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f1113,plain,
spl35_128,
inference(avatar_split_clause,[],[f403,f1111]) ).
fof(f403,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f1109,plain,
spl35_127,
inference(avatar_split_clause,[],[f401,f1107]) ).
fof(f401,plain,
! [X0,X1] :
( sP5(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( sP5(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(definition_folding,[],[f160,f241]) ).
fof(f241,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP5(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( v5_membered(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc20_membered) ).
fof(f1105,plain,
spl35_126,
inference(avatar_split_clause,[],[f386,f1103]) ).
fof(f386,plain,
! [X0] :
( m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ( v2_tops_1(sK17(X0),X0)
& v5_membered(sK17(X0))
& v4_membered(sK17(X0))
& v3_membered(sK17(X0))
& v2_membered(sK17(X0))
& v1_membered(sK17(X0))
& v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f268,f269]) ).
fof(f269,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v2_tops_1(sK17(X0),X0)
& v5_membered(sK17(X0))
& v4_membered(sK17(X0))
& v3_membered(sK17(X0))
& v2_membered(sK17(X0))
& v1_membered(sK17(X0))
& v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f268,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1101,plain,
spl35_125,
inference(avatar_split_clause,[],[f383,f1099]) ).
fof(f383,plain,
! [X0,X1] :
( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f1097,plain,
( ~ spl35_3
| spl35_124
| ~ spl35_6
| ~ spl35_115 ),
inference(avatar_split_clause,[],[f1077,f1048,f552,f1094,f537]) ).
fof(f1077,plain,
( l1_pre_topc(sK13)
| ~ l1_pre_topc(sK12)
| ~ spl35_6
| ~ spl35_115 ),
inference(resolution,[],[f1049,f554]) ).
fof(f1092,plain,
spl35_123,
inference(avatar_split_clause,[],[f382,f1090]) ).
fof(f382,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1088,plain,
spl35_122,
inference(avatar_split_clause,[],[f342,f1086]) ).
fof(f1086,plain,
( spl35_122
<=> ! [X0] :
( ~ v3_realset2(X0)
| v2_t_0topsp(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_122])]) ).
fof(f342,plain,
! [X0] :
( ~ v3_realset2(X0)
| v2_t_0topsp(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| v2_t_0topsp(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| v2_t_0topsp(X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( ( ~ v2_t_0topsp(X0)
& ~ v3_struct_0(X0) )
=> ( ~ v3_realset2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_tsp_1) ).
fof(f1074,plain,
spl35_121,
inference(avatar_split_clause,[],[f507,f1072]) ).
fof(f507,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f1070,plain,
spl35_120,
inference(avatar_split_clause,[],[f506,f1068]) ).
fof(f506,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f91]) ).
fof(f91,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(f1066,plain,
spl35_119,
inference(avatar_split_clause,[],[f445,f1064]) ).
fof(f1064,plain,
( spl35_119
<=> ! [X0,X1] :
( v1_funct_1(sK20(X0,X1))
| ~ sP8(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_119])]) ).
fof(f445,plain,
! [X0,X1] :
( v1_funct_1(sK20(X0,X1))
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f284]) ).
fof(f1062,plain,
spl35_118,
inference(avatar_split_clause,[],[f437,f1060]) ).
fof(f437,plain,
! [X0,X1] :
( v1_funct_1(sK19(X0,X1))
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f279]) ).
fof(f1058,plain,
spl35_117,
inference(avatar_split_clause,[],[f424,f1056]) ).
fof(f1056,plain,
( spl35_117
<=> ! [X0] :
( ~ v1_xboole_0(sK18(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_117])]) ).
fof(f424,plain,
! [X0] :
( ~ v1_xboole_0(sK18(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f1054,plain,
spl35_116,
inference(avatar_split_clause,[],[f422,f1052]) ).
fof(f1052,plain,
( spl35_116
<=> ! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_116])]) ).
fof(f422,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,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(f1050,plain,
spl35_115,
inference(avatar_split_clause,[],[f380,f1048]) ).
fof(f380,plain,
! [X0,X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f1046,plain,
spl35_114,
inference(avatar_split_clause,[],[f379,f1044]) ).
fof(f379,plain,
! [X0,X1] :
( l1_pre_topc(X1)
| ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_pre_topc(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_pre_topc) ).
fof(f1042,plain,
spl35_113,
inference(avatar_split_clause,[],[f330,f1040]) ).
fof(f330,plain,
! [X0] :
( m1_subset_1(sK14(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ( ~ v1_xboole_0(sK14(X0))
& m1_subset_1(sK14(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f129,f257]) ).
fof(f257,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK14(X0))
& m1_subset_1(sK14(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,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(f1038,plain,
( ~ spl35_2
| spl35_112
| ~ spl35_3
| ~ spl35_106 ),
inference(avatar_split_clause,[],[f1032,f1003,f537,f1035,f532]) ).
fof(f1032,plain,
( sP11(sK12)
| ~ v2_pre_topc(sK12)
| ~ spl35_3
| ~ spl35_106 ),
inference(resolution,[],[f1004,f539]) ).
fof(f1030,plain,
( spl35_111
| ~ spl35_25
| ~ spl35_64 ),
inference(avatar_split_clause,[],[f836,f802,f646,f1028]) ).
fof(f1028,plain,
( spl35_111
<=> ! [X0] : sP6(sK28(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_111])]) ).
fof(f836,plain,
( ! [X0] : sP6(sK28(X0))
| ~ spl35_25
| ~ spl35_64 ),
inference(resolution,[],[f803,f647]) ).
fof(f1026,plain,
spl35_110,
inference(avatar_split_clause,[],[f510,f1024]) ).
fof(f510,plain,
! [X0,X1] : m2_relset_1(sK30(X0,X1),X0,X1),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0,X1] : m2_relset_1(sK30(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f67,f305]) ).
fof(f305,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK30(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f67,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f1022,plain,
spl35_109,
inference(avatar_split_clause,[],[f509,f1020]) ).
fof(f509,plain,
! [X0,X1] : m1_relset_1(sK29(X0,X1),X0,X1),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0,X1] : m1_relset_1(sK29(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f65,f303]) ).
fof(f303,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK29(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f65,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f1018,plain,
spl35_108,
inference(avatar_split_clause,[],[f503,f1016]) ).
fof(f1016,plain,
( spl35_108
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_108])]) ).
fof(f503,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f1014,plain,
spl35_107,
inference(avatar_split_clause,[],[f502,f1012]) ).
fof(f502,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f1005,plain,
spl35_106,
inference(avatar_split_clause,[],[f490,f1003]) ).
fof(f490,plain,
! [X0] :
( sP11(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0] :
( sP11(X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(definition_folding,[],[f211,f252]) ).
fof(f211,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> ? [X1] :
( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_tops_1) ).
fof(f1001,plain,
spl35_105,
inference(avatar_split_clause,[],[f489,f999]) ).
fof(f489,plain,
! [X0] :
( v3_tops_1(sK23(X0),X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f997,plain,
spl35_104,
inference(avatar_split_clause,[],[f488,f995]) ).
fof(f995,plain,
( spl35_104
<=> ! [X0] :
( v2_tops_1(sK23(X0),X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_104])]) ).
fof(f488,plain,
! [X0] :
( v2_tops_1(sK23(X0),X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f993,plain,
spl35_103,
inference(avatar_split_clause,[],[f482,f991]) ).
fof(f482,plain,
! [X0] :
( v4_pre_topc(sK23(X0),X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f989,plain,
spl35_102,
inference(avatar_split_clause,[],[f481,f987]) ).
fof(f481,plain,
! [X0] :
( v3_pre_topc(sK23(X0),X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f985,plain,
spl35_101,
inference(avatar_split_clause,[],[f475,f983]) ).
fof(f983,plain,
( spl35_101
<=> ! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_101])]) ).
fof(f475,plain,
! [X0,X1] :
( v3_tops_1(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0,X1] :
( ( v3_tops_1(X1,X0)
& v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v4_pre_topc(X1,X0)
& v3_pre_topc(X1,X0)
& v1_xboole_0(X1) )
| ~ sP10(X0,X1) ),
inference(nnf_transformation,[],[f250]) ).
fof(f981,plain,
spl35_100,
inference(avatar_split_clause,[],[f474,f979]) ).
fof(f979,plain,
( spl35_100
<=> ! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_100])]) ).
fof(f474,plain,
! [X0,X1] :
( v2_tops_1(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f977,plain,
spl35_99,
inference(avatar_split_clause,[],[f468,f975]) ).
fof(f975,plain,
( spl35_99
<=> ! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_99])]) ).
fof(f468,plain,
! [X0,X1] :
( v4_pre_topc(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f973,plain,
spl35_98,
inference(avatar_split_clause,[],[f467,f971]) ).
fof(f971,plain,
( spl35_98
<=> ! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_98])]) ).
fof(f467,plain,
! [X0,X1] :
( v3_pre_topc(X1,X0)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f969,plain,
spl35_97,
inference(avatar_split_clause,[],[f393,f967]) ).
fof(f393,plain,
! [X0] :
( v2_tops_1(sK17(X0),X0)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f965,plain,
spl35_96,
inference(avatar_split_clause,[],[f385,f963]) ).
fof(f385,plain,
! [X0] :
( m2_tsp_1(sK16(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( m2_tsp_1(sK16(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f157,f266]) ).
fof(f266,plain,
! [X0] :
( ? [X1] : m2_tsp_1(X1,X0)
=> m2_tsp_1(sK16(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] : m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m2_tsp_1(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_tsp_1) ).
fof(f961,plain,
spl35_95,
inference(avatar_split_clause,[],[f384,f959]) ).
fof(f384,plain,
! [X0] :
( m1_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( m1_pre_topc(sK15(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f156,f264]) ).
fof(f264,plain,
! [X0] :
( ? [X1] : m1_pre_topc(X1,X0)
=> m1_pre_topc(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0] :
( ? [X1] : m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] : m1_pre_topc(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_pre_topc) ).
fof(f945,plain,
( spl35_94
| ~ spl35_8
| ~ spl35_64 ),
inference(avatar_split_clause,[],[f835,f802,f562,f942]) ).
fof(f942,plain,
( spl35_94
<=> sP6(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_94])]) ).
fof(f835,plain,
( sP6(k1_xboole_0)
| ~ spl35_8
| ~ spl35_64 ),
inference(resolution,[],[f803,f564]) ).
fof(f938,plain,
spl35_93,
inference(avatar_split_clause,[],[f508,f936]) ).
fof(f936,plain,
( spl35_93
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_93])]) ).
fof(f508,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f934,plain,
spl35_92,
inference(avatar_split_clause,[],[f499,f932]) ).
fof(f499,plain,
! [X0] : m1_subset_1(sK28(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( v1_xboole_0(sK28(X0))
& m1_subset_1(sK28(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f76,f301]) ).
fof(f301,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK28(X0))
& m1_subset_1(sK28(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,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(f930,plain,
spl35_91,
inference(avatar_split_clause,[],[f487,f928]) ).
fof(f487,plain,
! [X0] :
( v5_membered(sK23(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f926,plain,
spl35_90,
inference(avatar_split_clause,[],[f486,f924]) ).
fof(f924,plain,
( spl35_90
<=> ! [X0] :
( v4_membered(sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_90])]) ).
fof(f486,plain,
! [X0] :
( v4_membered(sK23(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f922,plain,
spl35_89,
inference(avatar_split_clause,[],[f485,f920]) ).
fof(f920,plain,
( spl35_89
<=> ! [X0] :
( v3_membered(sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_89])]) ).
fof(f485,plain,
! [X0] :
( v3_membered(sK23(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f918,plain,
spl35_88,
inference(avatar_split_clause,[],[f484,f916]) ).
fof(f916,plain,
( spl35_88
<=> ! [X0] :
( v2_membered(sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_88])]) ).
fof(f484,plain,
! [X0] :
( v2_membered(sK23(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f914,plain,
( spl35_87
| ~ spl35_15
| ~ spl35_51 ),
inference(avatar_split_clause,[],[f825,f750,f597,f911]) ).
fof(f825,plain,
( sP4(sK32)
| ~ spl35_15
| ~ spl35_51 ),
inference(resolution,[],[f751,f599]) ).
fof(f909,plain,
spl35_86,
inference(avatar_split_clause,[],[f483,f907]) ).
fof(f907,plain,
( spl35_86
<=> ! [X0] :
( v1_membered(sK23(X0))
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_86])]) ).
fof(f483,plain,
! [X0] :
( v1_membered(sK23(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f905,plain,
spl35_85,
inference(avatar_split_clause,[],[f480,f903]) ).
fof(f480,plain,
! [X0] :
( v1_xboole_0(sK23(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f901,plain,
spl35_84,
inference(avatar_split_clause,[],[f473,f899]) ).
fof(f473,plain,
! [X0,X1] :
( v5_membered(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f897,plain,
spl35_83,
inference(avatar_split_clause,[],[f472,f895]) ).
fof(f472,plain,
! [X0,X1] :
( v4_membered(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f893,plain,
spl35_82,
inference(avatar_split_clause,[],[f471,f891]) ).
fof(f471,plain,
! [X0,X1] :
( v3_membered(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f889,plain,
spl35_81,
inference(avatar_split_clause,[],[f470,f887]) ).
fof(f470,plain,
! [X0,X1] :
( v2_membered(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f885,plain,
spl35_80,
inference(avatar_split_clause,[],[f469,f883]) ).
fof(f469,plain,
! [X0,X1] :
( v1_membered(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f881,plain,
spl35_79,
inference(avatar_split_clause,[],[f466,f879]) ).
fof(f879,plain,
( spl35_79
<=> ! [X0,X1] :
( v1_xboole_0(X1)
| ~ sP10(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_79])]) ).
fof(f466,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| ~ sP10(X0,X1) ),
inference(cnf_transformation,[],[f289]) ).
fof(f877,plain,
spl35_78,
inference(avatar_split_clause,[],[f407,f875]) ).
fof(f407,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f873,plain,
spl35_77,
inference(avatar_split_clause,[],[f392,f871]) ).
fof(f392,plain,
! [X0] :
( v5_membered(sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f869,plain,
( spl35_76
| ~ spl35_15
| ~ spl35_27 ),
inference(avatar_split_clause,[],[f818,f654,f597,f866]) ).
fof(f866,plain,
( spl35_76
<=> l1_struct_0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_76])]) ).
fof(f818,plain,
( l1_struct_0(sK32)
| ~ spl35_15
| ~ spl35_27 ),
inference(resolution,[],[f655,f599]) ).
fof(f864,plain,
spl35_75,
inference(avatar_split_clause,[],[f391,f862]) ).
fof(f862,plain,
( spl35_75
<=> ! [X0] :
( v4_membered(sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_75])]) ).
fof(f391,plain,
! [X0] :
( v4_membered(sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f860,plain,
spl35_74,
inference(avatar_split_clause,[],[f390,f858]) ).
fof(f858,plain,
( spl35_74
<=> ! [X0] :
( v3_membered(sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_74])]) ).
fof(f390,plain,
! [X0] :
( v3_membered(sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f856,plain,
spl35_73,
inference(avatar_split_clause,[],[f389,f854]) ).
fof(f854,plain,
( spl35_73
<=> ! [X0] :
( v2_membered(sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_73])]) ).
fof(f389,plain,
! [X0] :
( v2_membered(sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f852,plain,
spl35_72,
inference(avatar_split_clause,[],[f388,f850]) ).
fof(f850,plain,
( spl35_72
<=> ! [X0] :
( v1_membered(sK17(X0))
| ~ sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_72])]) ).
fof(f388,plain,
! [X0] :
( v1_membered(sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f848,plain,
spl35_71,
inference(avatar_split_clause,[],[f387,f846]) ).
fof(f387,plain,
! [X0] :
( v1_xboole_0(sK17(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f844,plain,
spl35_70,
inference(avatar_split_clause,[],[f331,f842]) ).
fof(f842,plain,
( spl35_70
<=> ! [X0] :
( ~ v1_xboole_0(sK14(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_70])]) ).
fof(f331,plain,
! [X0] :
( ~ v1_xboole_0(sK14(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f832,plain,
( spl35_69
| ~ spl35_3
| ~ spl35_51 ),
inference(avatar_split_clause,[],[f824,f750,f537,f829]) ).
fof(f824,plain,
( sP4(sK12)
| ~ spl35_3
| ~ spl35_51 ),
inference(resolution,[],[f751,f539]) ).
fof(f823,plain,
( spl35_68
| ~ spl35_3
| ~ spl35_27 ),
inference(avatar_split_clause,[],[f817,f654,f537,f820]) ).
fof(f820,plain,
( spl35_68
<=> l1_struct_0(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_68])]) ).
fof(f817,plain,
( l1_struct_0(sK12)
| ~ spl35_3
| ~ spl35_27 ),
inference(resolution,[],[f655,f539]) ).
fof(f816,plain,
spl35_67,
inference(avatar_split_clause,[],[f498,f814]) ).
fof(f498,plain,
! [X0] : m1_subset_1(sK27(X0),X0),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0] : m1_subset_1(sK27(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f66,f299]) ).
fof(f299,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK27(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f66,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f812,plain,
spl35_66,
inference(avatar_split_clause,[],[f418,f810]) ).
fof(f810,plain,
( spl35_66
<=> ! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_66])]) ).
fof(f418,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( v1_membered(X0)
| ~ v2_membered(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( v2_membered(X0)
=> v1_membered(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_membered) ).
fof(f808,plain,
spl35_65,
inference(avatar_split_clause,[],[f414,f806]) ).
fof(f806,plain,
( spl35_65
<=> ! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_65])]) ).
fof(f414,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( v2_membered(X0)
| ~ v3_membered(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( v3_membered(X0)
=> v2_membered(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_membered) ).
fof(f804,plain,
spl35_64,
inference(avatar_split_clause,[],[f413,f802]) ).
fof(f413,plain,
! [X0] :
( sP6(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP6(X0)
| ~ v1_xboole_0(X0) ),
inference(definition_folding,[],[f164,f243]) ).
fof(f243,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f164,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( v1_xboole_0(X0)
=> ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc15_membered) ).
fof(f800,plain,
spl35_63,
inference(avatar_split_clause,[],[f412,f798]) ).
fof(f412,plain,
! [X0] :
( v5_membered(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f243]) ).
fof(f796,plain,
spl35_62,
inference(avatar_split_clause,[],[f411,f794]) ).
fof(f411,plain,
! [X0] :
( v4_membered(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f792,plain,
spl35_61,
inference(avatar_split_clause,[],[f410,f790]) ).
fof(f410,plain,
! [X0] :
( v3_membered(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f788,plain,
spl35_60,
inference(avatar_split_clause,[],[f409,f786]) ).
fof(f409,plain,
! [X0] :
( v2_membered(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f784,plain,
spl35_59,
inference(avatar_split_clause,[],[f408,f782]) ).
fof(f408,plain,
! [X0] :
( v1_membered(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f780,plain,
spl35_58,
inference(avatar_split_clause,[],[f402,f778]) ).
fof(f778,plain,
( spl35_58
<=> ! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_58])]) ).
fof(f402,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( v3_membered(X0)
| ~ v4_membered(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( v4_membered(X0)
=> v3_membered(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_membered) ).
fof(f776,plain,
spl35_57,
inference(avatar_split_clause,[],[f400,f774]) ).
fof(f400,plain,
! [X0] :
( v5_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0) )
| ~ sP5(X0) ),
inference(rectify,[],[f271]) ).
fof(f271,plain,
! [X1] :
( ( v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1) )
| ~ sP5(X1) ),
inference(nnf_transformation,[],[f241]) ).
fof(f772,plain,
spl35_56,
inference(avatar_split_clause,[],[f399,f770]) ).
fof(f399,plain,
! [X0] :
( v4_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f768,plain,
spl35_55,
inference(avatar_split_clause,[],[f398,f766]) ).
fof(f398,plain,
! [X0] :
( v3_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f764,plain,
spl35_54,
inference(avatar_split_clause,[],[f397,f762]) ).
fof(f397,plain,
! [X0] :
( v2_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f760,plain,
spl35_53,
inference(avatar_split_clause,[],[f396,f758]) ).
fof(f396,plain,
! [X0] :
( v1_membered(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f756,plain,
spl35_52,
inference(avatar_split_clause,[],[f395,f754]) ).
fof(f754,plain,
( spl35_52
<=> ! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_52])]) ).
fof(f395,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( v4_membered(X0)
| ~ v5_membered(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( v5_membered(X0)
=> v4_membered(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_membered) ).
fof(f752,plain,
spl35_51,
inference(avatar_split_clause,[],[f394,f750]) ).
fof(f394,plain,
! [X0] :
( sP4(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP4(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_folding,[],[f158,f239]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ? [X1] :
( v2_tops_1(X1,X0)
& v5_membered(X1)
& v4_membered(X1)
& v3_membered(X1)
& v2_membered(X1)
& v1_membered(X1)
& v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_tops_1) ).
fof(f748,plain,
spl35_50,
inference(avatar_split_clause,[],[f374,f746]) ).
fof(f746,plain,
( spl35_50
<=> ! [X0] :
( v2_t_0topsp(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_50])]) ).
fof(f374,plain,
! [X0] :
( v2_t_0topsp(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f744,plain,
spl35_49,
inference(avatar_split_clause,[],[f373,f742]) ).
fof(f742,plain,
( spl35_49
<=> ! [X0] :
( v3_tdlat_3(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_49])]) ).
fof(f373,plain,
! [X0] :
( v3_tdlat_3(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f740,plain,
spl35_48,
inference(avatar_split_clause,[],[f372,f738]) ).
fof(f738,plain,
( spl35_48
<=> ! [X0] :
( v1_tdlat_3(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_48])]) ).
fof(f372,plain,
! [X0] :
( v1_tdlat_3(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f736,plain,
spl35_47,
inference(avatar_split_clause,[],[f371,f734]) ).
fof(f734,plain,
( spl35_47
<=> ! [X0] :
( v2_pre_topc(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_47])]) ).
fof(f371,plain,
! [X0] :
( v2_pre_topc(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f732,plain,
spl35_46,
inference(avatar_split_clause,[],[f370,f730]) ).
fof(f730,plain,
( spl35_46
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_46])]) ).
fof(f370,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f728,plain,
spl35_45,
inference(avatar_split_clause,[],[f368,f726]) ).
fof(f726,plain,
( spl35_45
<=> ! [X0] :
( v2_t_0topsp(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_45])]) ).
fof(f368,plain,
! [X0] :
( v2_t_0topsp(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ( v2_t_0topsp(X0)
& v3_tdlat_3(X0)
& v2_tdlat_3(X0)
& v1_tdlat_3(X0)
& v2_pre_topc(X0)
& v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f235]) ).
fof(f724,plain,
spl35_44,
inference(avatar_split_clause,[],[f367,f722]) ).
fof(f722,plain,
( spl35_44
<=> ! [X0] :
( v3_tdlat_3(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_44])]) ).
fof(f367,plain,
! [X0] :
( v3_tdlat_3(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f720,plain,
spl35_43,
inference(avatar_split_clause,[],[f366,f718]) ).
fof(f718,plain,
( spl35_43
<=> ! [X0] :
( v2_tdlat_3(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_43])]) ).
fof(f366,plain,
! [X0] :
( v2_tdlat_3(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f716,plain,
spl35_42,
inference(avatar_split_clause,[],[f365,f714]) ).
fof(f714,plain,
( spl35_42
<=> ! [X0] :
( v1_tdlat_3(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_42])]) ).
fof(f365,plain,
! [X0] :
( v1_tdlat_3(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f712,plain,
spl35_41,
inference(avatar_split_clause,[],[f364,f710]) ).
fof(f710,plain,
( spl35_41
<=> ! [X0] :
( v2_pre_topc(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_41])]) ).
fof(f364,plain,
! [X0] :
( v2_pre_topc(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f708,plain,
spl35_40,
inference(avatar_split_clause,[],[f363,f706]) ).
fof(f706,plain,
( spl35_40
<=> ! [X0] :
( v3_realset2(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_40])]) ).
fof(f363,plain,
! [X0] :
( v3_realset2(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f704,plain,
spl35_39,
inference(avatar_split_clause,[],[f362,f702]) ).
fof(f702,plain,
( spl35_39
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_39])]) ).
fof(f362,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f700,plain,
spl35_38,
inference(avatar_split_clause,[],[f356,f698]) ).
fof(f698,plain,
( spl35_38
<=> ! [X0] :
( ~ v3_tdlat_3(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_38])]) ).
fof(f356,plain,
! [X0] :
( ~ v3_tdlat_3(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ( ~ v3_tdlat_3(X0)
& ~ v2_tdlat_3(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f696,plain,
spl35_37,
inference(avatar_split_clause,[],[f355,f694]) ).
fof(f694,plain,
( spl35_37
<=> ! [X0] :
( ~ v2_tdlat_3(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_37])]) ).
fof(f355,plain,
! [X0] :
( ~ v2_tdlat_3(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f692,plain,
spl35_36,
inference(avatar_split_clause,[],[f354,f690]) ).
fof(f690,plain,
( spl35_36
<=> ! [X0] :
( ~ v1_tdlat_3(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_36])]) ).
fof(f354,plain,
! [X0] :
( ~ v1_tdlat_3(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f688,plain,
spl35_35,
inference(avatar_split_clause,[],[f353,f686]) ).
fof(f686,plain,
( spl35_35
<=> ! [X0] :
( v2_pre_topc(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_35])]) ).
fof(f353,plain,
! [X0] :
( v2_pre_topc(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f684,plain,
spl35_34,
inference(avatar_split_clause,[],[f352,f682]) ).
fof(f682,plain,
( spl35_34
<=> ! [X0] :
( ~ v3_realset2(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_34])]) ).
fof(f352,plain,
! [X0] :
( ~ v3_realset2(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f680,plain,
spl35_33,
inference(avatar_split_clause,[],[f351,f678]) ).
fof(f678,plain,
( spl35_33
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_33])]) ).
fof(f351,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f676,plain,
spl35_32,
inference(avatar_split_clause,[],[f349,f674]) ).
fof(f674,plain,
( spl35_32
<=> ! [X0] :
( ~ v2_t_0topsp(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_32])]) ).
fof(f349,plain,
! [X0] :
( ~ v2_t_0topsp(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( ~ v2_t_0topsp(X0)
& ~ v1_tdlat_3(X0)
& v2_pre_topc(X0)
& ~ v3_realset2(X0)
& ~ v3_struct_0(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f231]) ).
fof(f672,plain,
spl35_31,
inference(avatar_split_clause,[],[f348,f670]) ).
fof(f670,plain,
( spl35_31
<=> ! [X0] :
( ~ v1_tdlat_3(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_31])]) ).
fof(f348,plain,
! [X0] :
( ~ v1_tdlat_3(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f668,plain,
spl35_30,
inference(avatar_split_clause,[],[f347,f666]) ).
fof(f666,plain,
( spl35_30
<=> ! [X0] :
( v2_pre_topc(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_30])]) ).
fof(f347,plain,
! [X0] :
( v2_pre_topc(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f664,plain,
spl35_29,
inference(avatar_split_clause,[],[f346,f662]) ).
fof(f662,plain,
( spl35_29
<=> ! [X0] :
( ~ v3_realset2(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_29])]) ).
fof(f346,plain,
! [X0] :
( ~ v3_realset2(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f660,plain,
spl35_28,
inference(avatar_split_clause,[],[f345,f658]) ).
fof(f658,plain,
( spl35_28
<=> ! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_28])]) ).
fof(f345,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f656,plain,
spl35_27,
inference(avatar_split_clause,[],[f332,f654]) ).
fof(f332,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f652,plain,
spl35_26,
inference(avatar_split_clause,[],[f501,f650]) ).
fof(f501,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f648,plain,
spl35_25,
inference(avatar_split_clause,[],[f500,f646]) ).
fof(f500,plain,
! [X0] : v1_xboole_0(sK28(X0)),
inference(cnf_transformation,[],[f302]) ).
fof(f644,plain,
spl35_24,
inference(avatar_split_clause,[],[f329,f642]) ).
fof(f642,plain,
( spl35_24
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_24])]) ).
fof(f329,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f640,plain,
~ spl35_23,
inference(avatar_split_clause,[],[f525,f637]) ).
fof(f637,plain,
( spl35_23
<=> v3_struct_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_23])]) ).
fof(f525,plain,
~ v3_struct_0(sK34),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
( ~ v3_struct_0(sK34)
& l1_struct_0(sK34) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f78,f314]) ).
fof(f314,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ( ~ v3_struct_0(sK34)
& l1_struct_0(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f78,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f635,plain,
spl35_22,
inference(avatar_split_clause,[],[f524,f632]) ).
fof(f632,plain,
( spl35_22
<=> l1_struct_0(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_22])]) ).
fof(f524,plain,
l1_struct_0(sK34),
inference(cnf_transformation,[],[f315]) ).
fof(f630,plain,
spl35_21,
inference(avatar_split_clause,[],[f523,f627]) ).
fof(f523,plain,
v5_membered(sK33),
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
( v5_membered(sK33)
& v4_membered(sK33)
& v3_membered(sK33)
& v2_membered(sK33)
& v1_membered(sK33)
& ~ v1_xboole_0(sK33) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f73,f312]) ).
fof(f312,plain,
( ? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) )
=> ( v5_membered(sK33)
& v4_membered(sK33)
& v3_membered(sK33)
& v2_membered(sK33)
& v1_membered(sK33)
& ~ v1_xboole_0(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f73,axiom,
? [X0] :
( v5_membered(X0)
& v4_membered(X0)
& v3_membered(X0)
& v2_membered(X0)
& v1_membered(X0)
& ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).
fof(f625,plain,
spl35_20,
inference(avatar_split_clause,[],[f522,f622]) ).
fof(f622,plain,
( spl35_20
<=> v4_membered(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_20])]) ).
fof(f522,plain,
v4_membered(sK33),
inference(cnf_transformation,[],[f313]) ).
fof(f620,plain,
spl35_19,
inference(avatar_split_clause,[],[f521,f617]) ).
fof(f617,plain,
( spl35_19
<=> v3_membered(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_19])]) ).
fof(f521,plain,
v3_membered(sK33),
inference(cnf_transformation,[],[f313]) ).
fof(f615,plain,
spl35_18,
inference(avatar_split_clause,[],[f520,f612]) ).
fof(f612,plain,
( spl35_18
<=> v2_membered(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_18])]) ).
fof(f520,plain,
v2_membered(sK33),
inference(cnf_transformation,[],[f313]) ).
fof(f610,plain,
spl35_17,
inference(avatar_split_clause,[],[f519,f607]) ).
fof(f607,plain,
( spl35_17
<=> v1_membered(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_17])]) ).
fof(f519,plain,
v1_membered(sK33),
inference(cnf_transformation,[],[f313]) ).
fof(f605,plain,
~ spl35_16,
inference(avatar_split_clause,[],[f518,f602]) ).
fof(f602,plain,
( spl35_16
<=> v1_xboole_0(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_16])]) ).
fof(f518,plain,
~ v1_xboole_0(sK33),
inference(cnf_transformation,[],[f313]) ).
fof(f600,plain,
spl35_15,
inference(avatar_split_clause,[],[f517,f597]) ).
fof(f517,plain,
l1_pre_topc(sK32),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
l1_pre_topc(sK32),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f62,f310]) ).
fof(f310,plain,
( ? [X0] : l1_pre_topc(X0)
=> l1_pre_topc(sK32) ),
introduced(choice_axiom,[]) ).
fof(f62,axiom,
? [X0] : l1_pre_topc(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(f595,plain,
spl35_14,
inference(avatar_split_clause,[],[f516,f592]) ).
fof(f592,plain,
( spl35_14
<=> l1_struct_0(sK31) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_14])]) ).
fof(f516,plain,
l1_struct_0(sK31),
inference(cnf_transformation,[],[f309]) ).
fof(f309,plain,
l1_struct_0(sK31),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f63,f308]) ).
fof(f308,plain,
( ? [X0] : l1_struct_0(X0)
=> l1_struct_0(sK31) ),
introduced(choice_axiom,[]) ).
fof(f63,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f590,plain,
spl35_13,
inference(avatar_split_clause,[],[f328,f587]) ).
fof(f328,plain,
v5_membered(k1_xboole_0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
( v5_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v1_xboole_0(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(f585,plain,
spl35_12,
inference(avatar_split_clause,[],[f327,f582]) ).
fof(f582,plain,
( spl35_12
<=> v4_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_12])]) ).
fof(f327,plain,
v4_membered(k1_xboole_0),
inference(cnf_transformation,[],[f72]) ).
fof(f580,plain,
spl35_11,
inference(avatar_split_clause,[],[f326,f577]) ).
fof(f577,plain,
( spl35_11
<=> v3_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_11])]) ).
fof(f326,plain,
v3_membered(k1_xboole_0),
inference(cnf_transformation,[],[f72]) ).
fof(f575,plain,
spl35_10,
inference(avatar_split_clause,[],[f325,f572]) ).
fof(f572,plain,
( spl35_10
<=> v2_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_10])]) ).
fof(f325,plain,
v2_membered(k1_xboole_0),
inference(cnf_transformation,[],[f72]) ).
fof(f570,plain,
spl35_9,
inference(avatar_split_clause,[],[f324,f567]) ).
fof(f567,plain,
( spl35_9
<=> v1_membered(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_9])]) ).
fof(f324,plain,
v1_membered(k1_xboole_0),
inference(cnf_transformation,[],[f72]) ).
fof(f565,plain,
spl35_8,
inference(avatar_split_clause,[],[f323,f562]) ).
fof(f323,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f72]) ).
fof(f560,plain,
~ spl35_7,
inference(avatar_split_clause,[],[f322,f557]) ).
fof(f322,plain,
~ r1_borsuk_1(sK12,sK13),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ~ r1_borsuk_1(sK12,sK13)
& m2_tsp_1(sK13,sK12)
& v2_tsp_2(sK13,sK12)
& ~ v3_struct_0(sK13)
& l1_pre_topc(sK12)
& v2_pre_topc(sK12)
& ~ v3_struct_0(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f128,f255,f254]) ).
fof(f254,plain,
( ? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ~ r1_borsuk_1(sK12,X1)
& m2_tsp_1(X1,sK12)
& v2_tsp_2(X1,sK12)
& ~ v3_struct_0(X1) )
& l1_pre_topc(sK12)
& v2_pre_topc(sK12)
& ~ v3_struct_0(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X1] :
( ~ r1_borsuk_1(sK12,X1)
& m2_tsp_1(X1,sK12)
& v2_tsp_2(X1,sK12)
& ~ v3_struct_0(X1) )
=> ( ~ r1_borsuk_1(sK12,sK13)
& m2_tsp_1(sK13,sK12)
& v2_tsp_2(sK13,sK12)
& ~ v3_struct_0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( ~ r1_borsuk_1(X0,X1)
& m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> r1_borsuk_1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_tsp_1(X1,X0)
& v2_tsp_2(X1,X0)
& ~ v3_struct_0(X1) )
=> r1_borsuk_1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_tsp_2) ).
fof(f555,plain,
spl35_6,
inference(avatar_split_clause,[],[f321,f552]) ).
fof(f321,plain,
m2_tsp_1(sK13,sK12),
inference(cnf_transformation,[],[f256]) ).
fof(f550,plain,
spl35_5,
inference(avatar_split_clause,[],[f320,f547]) ).
fof(f320,plain,
v2_tsp_2(sK13,sK12),
inference(cnf_transformation,[],[f256]) ).
fof(f545,plain,
~ spl35_4,
inference(avatar_split_clause,[],[f319,f542]) ).
fof(f319,plain,
~ v3_struct_0(sK13),
inference(cnf_transformation,[],[f256]) ).
fof(f540,plain,
spl35_3,
inference(avatar_split_clause,[],[f318,f537]) ).
fof(f318,plain,
l1_pre_topc(sK12),
inference(cnf_transformation,[],[f256]) ).
fof(f535,plain,
spl35_2,
inference(avatar_split_clause,[],[f317,f532]) ).
fof(f317,plain,
v2_pre_topc(sK12),
inference(cnf_transformation,[],[f256]) ).
fof(f530,plain,
~ spl35_1,
inference(avatar_split_clause,[],[f316,f527]) ).
fof(f316,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : TOP034+1 : TPTP v8.2.0. Released v3.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 11:09:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (21521)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (21525)WARNING: value z3 for option sas not known
% 0.15/0.40 % (21526)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (21522)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (21523)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (21527)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)
% 0.15/0.40 % (21525)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)
% 0.15/0.40 % (21528)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)
% 0.15/0.40 % (21529)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)
% 0.15/0.41 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.15/0.42 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.45 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.45 TRYING [3]
% 0.22/0.46 TRYING [5]
% 0.22/0.46 TRYING [4]
% 0.22/0.48 TRYING [3]
% 0.22/0.49 TRYING [5]
% 0.22/0.51 TRYING [6]
% 0.22/0.54 TRYING [6]
% 0.22/0.55 % (21527)First to succeed.
% 0.22/0.56 TRYING [4]
% 1.53/0.60 % (21527)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21521"
% 1.70/0.60 % (21527)Refutation found. Thanks to Tanya!
% 1.70/0.60 % SZS status Theorem for theBenchmark
% 1.70/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.63 % (21527)------------------------------
% 1.70/0.63 % (21527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.63 % (21527)Termination reason: Refutation
% 1.70/0.63
% 1.70/0.63 % (21527)Memory used [KB]: 3821
% 1.70/0.63 % (21527)Time elapsed: 0.196 s
% 1.70/0.63 % (21527)Instructions burned: 269 (million)
% 1.70/0.63 % (21521)Success in time 0.237 s
%------------------------------------------------------------------------------