TSTP Solution File: SWC419+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC419+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:27:16 EDT 2024
% Result : Theorem 6.65s 1.31s
% Output : Refutation 6.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1396
% Syntax : Number of formulae : 4533 ( 243 unt; 0 def)
% Number of atoms : 18603 (2937 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 24142 (10072 ~;11683 |; 789 &)
% (1306 <=>; 292 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 1268 (1266 usr;1230 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 9 con; 0-2 aty)
% Number of variables : 5151 (4803 !; 348 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22481,plain,
$false,
inference(avatar_sat_refutation,[],[f649,f654,f659,f664,f669,f678,f683,f688,f693,f698,f703,f708,f713,f718,f723,f728,f733,f738,f743,f748,f752,f756,f760,f764,f768,f772,f776,f780,f784,f805,f821,f825,f829,f833,f837,f841,f845,f850,f854,f858,f862,f866,f870,f874,f878,f882,f886,f890,f895,f899,f903,f907,f911,f915,f919,f923,f927,f931,f935,f940,f944,f948,f952,f956,f960,f964,f968,f972,f976,f980,f985,f989,f993,f997,f1001,f1005,f1009,f1013,f1017,f1021,f1026,f1031,f1071,f1118,f1165,f1190,f1195,f1199,f1203,f1208,f1212,f1216,f1220,f1224,f1228,f1232,f1236,f1240,f1244,f1248,f1253,f1257,f1261,f1265,f1269,f1273,f1277,f1281,f1285,f1292,f1296,f1301,f1305,f1309,f1313,f1317,f1321,f1325,f1329,f1333,f1337,f1341,f1346,f1350,f1354,f1358,f1362,f1415,f1419,f1424,f1428,f1432,f1436,f1440,f1444,f1448,f1452,f1456,f1460,f1464,f1469,f1473,f1477,f1511,f1547,f1551,f1555,f1560,f1564,f1568,f1572,f1576,f1580,f1584,f1588,f1592,f1596,f1601,f1605,f1609,f1613,f1617,f1621,f1625,f1629,f1633,f1637,f1641,f1647,f1651,f1802,f1806,f1810,f1814,f1818,f1822,f1906,f1910,f1914,f1918,f1922,f1928,f2013,f2017,f2021,f2027,f2031,f2035,f2039,f2043,f2047,f2120,f2124,f2128,f2132,f2136,f2142,f2146,f2150,f2219,f2223,f2227,f2231,f2235,f2239,f2243,f2247,f2251,f2286,f2292,f2296,f2300,f2354,f2358,f2362,f2368,f2452,f2456,f2460,f2464,f2468,f2474,f2478,f2482,f2486,f2490,f2494,f2498,f2502,f2506,f2549,f2553,f2557,f2575,f2581,f2585,f2595,f2599,f2603,f2622,f2627,f2632,f2637,f2642,f2647,f2656,f2773,f2783,f2881,f2882,f2895,f2904,f2952,f2961,f2962,f2976,f2980,f2985,f2989,f2993,f2999,f3003,f3104,f3110,f3116,f3122,f3128,f3134,f3139,f3145,f3151,f3192,f3199,f3239,f3244,f3250,f3256,f3261,f3266,f3270,f3323,f3328,f3334,f3344,f3350,f3356,f3361,f3365,f3455,f3460,f3485,f3490,f3501,f3509,f3519,f3524,f3534,f3544,f3550,f3554,f3560,f3565,f3572,f3578,f3582,f3586,f3633,f3683,f3687,f3692,f3696,f3700,f3705,f3838,f3886,f3893,f3899,f3905,f3912,f3919,f3928,f3934,f3940,f3947,f3953,f3959,f3967,f3972,f3984,f3991,f3997,f4003,f4014,f4021,f4028,f4035,f4045,f4049,f4053,f4057,f4061,f4065,f4069,f4073,f4077,f4081,f4085,f4089,f4093,f4097,f4101,f4105,f4109,f4113,f4117,f4121,f4125,f4129,f4133,f4137,f4141,f4145,f4149,f4153,f4157,f4161,f4165,f4169,f4173,f4177,f4181,f4185,f4189,f4193,f4197,f4201,f4205,f4209,f4213,f4217,f4221,f4225,f4229,f4233,f4237,f4241,f4245,f4249,f4253,f4257,f4261,f4265,f4269,f4273,f4274,f4348,f4356,f4372,f4391,f4433,f4440,f4441,f4489,f4494,f4586,f4591,f4598,f4599,f4703,f4750,f4754,f4760,f4771,f4783,f4787,f4791,f4795,f4799,f4803,f4807,f4811,f4815,f4819,f4823,f4827,f4831,f4835,f4839,f4843,f4847,f4851,f4855,f4859,f4863,f4869,f4873,f4877,f4881,f4885,f4889,f4893,f4897,f4901,f4905,f4914,f4920,f4924,f4928,f4932,f4936,f4940,f4944,f4948,f4952,f4956,f4957,f4961,f4965,f4969,f4973,f4977,f4981,f4985,f4989,f4993,f4997,f5002,f5006,f5010,f5014,f5018,f5022,f5026,f5030,f5034,f5038,f5042,f5046,f5050,f5054,f5058,f5062,f5066,f5070,f5074,f5078,f5082,f5088,f5092,f5096,f5100,f5104,f5108,f5112,f5116,f5120,f5124,f5133,f5137,f5141,f5146,f5210,f5233,f5258,f5307,f5377,f5400,f5425,f5474,f5514,f5523,f5532,f5541,f5545,f5549,f5553,f5557,f5561,f5565,f5569,f5573,f5577,f5582,f5586,f5590,f5594,f5598,f5602,f5606,f5610,f5614,f5618,f5627,f5633,f5637,f5641,f5645,f5649,f5653,f5657,f5661,f5665,f5669,f5670,f5674,f5678,f5682,f5686,f5690,f5694,f5698,f5702,f5710,f5773,f5945,f5949,f5953,f5957,f5962,f5966,f5970,f5974,f5978,f5982,f5986,f5990,f5994,f5998,f6007,f6013,f6017,f6021,f6025,f6029,f6033,f6037,f6041,f6045,f6049,f6050,f6054,f6058,f6062,f6066,f6070,f6074,f6078,f6082,f6086,f6090,f6095,f6099,f6103,f6107,f6111,f6115,f6119,f6123,f6127,f6173,f6342,f6348,f6355,f6359,f6363,f6367,f6371,f6375,f6379,f6383,f6384,f6388,f6392,f6396,f6400,f6404,f6408,f6412,f6416,f6420,f6424,f6429,f6433,f6437,f6441,f6445,f6449,f6453,f6457,f6461,f6465,f6469,f6473,f6477,f6481,f6485,f6489,f6493,f6497,f6501,f6505,f6509,f6510,f6560,f6564,f6568,f6572,f6576,f6580,f6584,f6588,f6592,f6597,f6601,f6605,f6609,f6613,f6617,f6621,f6625,f6629,f6633,f6637,f6642,f6647,f6651,f6655,f6659,f6663,f6667,f6671,f6712,f6717,f6948,f7163,f7207,f7232,f7257,f7282,f7313,f7317,f7321,f7325,f7329,f7333,f7339,f7343,f7347,f7351,f7355,f7359,f7363,f7367,f7371,f7375,f7380,f7384,f7388,f7392,f7396,f7400,f7404,f7408,f7412,f7416,f7417,f7562,f7566,f7836,f8051,f8249,f8290,f8294,f8298,f8302,f8306,f8310,f8314,f8318,f8322,f8327,f8331,f8335,f8339,f8343,f8347,f8351,f8355,f8359,f8363,f8367,f8372,f8376,f8380,f8384,f8388,f8392,f8396,f8400,f8404,f8408,f8412,f8418,f8422,f8426,f8430,f8434,f8438,f8442,f8446,f8450,f8454,f8460,f8464,f8468,f8472,f8476,f8480,f8484,f8488,f8826,f8830,f8834,f8838,f8842,f8848,f9099,f9103,f9107,f9113,f9117,f9121,f9125,f9129,f9133,f9137,f9141,f9145,f9149,f9155,f9159,f9163,f9167,f9171,f9175,f9179,f9183,f9187,f9191,f9197,f9201,f9205,f9209,f9213,f9217,f9221,f9225,f9229,f9233,f9239,f9243,f9247,f9251,f9255,f9259,f9263,f9267,f9271,f9275,f9281,f9285,f9289,f9293,f9297,f9301,f9305,f9368,f9824,f10593,f10905,f10909,f10913,f10914,f10918,f10922,f10926,f10930,f10934,f10938,f10942,f10946,f10950,f10954,f10959,f10963,f10967,f10971,f10975,f10979,f10983,f10987,f10991,f10995,f10999,f11053,f11057,f11061,f11065,f11069,f11073,f11077,f11081,f11085,f11089,f11094,f11098,f11102,f11106,f11110,f11114,f11118,f11122,f11126,f11130,f11134,f11139,f11143,f11147,f11151,f11155,f11159,f11163,f11167,f11171,f11175,f11179,f11184,f11188,f11192,f11196,f11200,f11204,f11208,f11608,f11723,f11760,f11794,f11832,f11857,f11861,f11865,f11883,f11887,f11891,f11978,f11983,f11987,f11991,f11995,f11999,f12003,f12007,f12011,f12015,f12019,f12023,f12036,f12040,f12044,f12048,f12052,f12056,f12060,f12064,f12068,f12072,f12077,f12081,f12085,f12089,f12093,f12097,f12101,f12105,f12109,f12113,f12117,f12122,f12126,f12130,f12134,f12138,f12142,f12146,f12150,f12154,f12158,f12162,f12167,f12171,f12438,f12725,f13146,f13612,f13708,f13712,f13716,f13720,f13724,f13728,f13732,f13736,f13753,f13757,f13761,f13765,f13769,f13773,f13777,f13781,f13785,f13789,f13794,f13880,f13958,f13962,f13966,f13970,f13974,f13978,f13982,f13986,f13993,f13997,f14001,f14005,f14009,f14013,f14017,f14021,f14025,f14029,f14034,f14038,f14042,f14046,f14050,f14054,f14058,f14062,f14066,f14070,f14074,f14079,f14083,f14087,f14091,f14095,f14099,f14103,f14107,f14111,f14115,f14119,f14124,f14128,f14132,f14136,f14269,f16210,f16214,f16218,f16227,f16231,f16235,f16252,f16256,f16260,f16264,f16268,f16272,f16276,f16280,f16284,f16288,f16305,f16309,f16313,f16317,f16321,f16325,f16329,f16333,f16736,f16753,f16757,f16761,f16765,f16769,f16773,f16777,f16781,f16785,f16789,f16805,f16809,f16813,f16817,f16821,f16825,f16829,f17200,f17406,f17410,f17414,f17418,f17422,f17447,f17451,f17455,f17682,f17725,f17729,f17733,f17805,f17809,f17813,f17818,f17822,f17826,f17830,f17834,f17838,f17842,f17846,f17850,f17854,f17858,f17873,f17877,f17881,f17885,f17889,f17893,f17953,f18179,f18183,f18187,f18191,f18195,f18200,f18204,f18208,f18212,f18216,f18220,f18224,f18228,f18232,f18407,f18432,f18436,f18440,f18528,f18532,f18536,f18621,f18625,f18685,f18703,f18708,f18712,f18744,f18769,f18811,f18853,f18858,f18862,f18942,f18946,f18950,f19038,f19043,f19048,f19053,f19058,f19063,f19068,f19427,f19434,f19440,f19444,f19448,f19452,f19457,f19461,f19465,f19469,f19473,f19477,f19481,f19485,f19489,f19493,f19497,f19556,f19560,f19564,f19568,f19572,f19576,f19580,f19584,f19588,f19592,f19597,f19601,f19605,f19609,f19613,f19622,f19632,f19635,f19641,f19643,f19724,f19809,f19814,f19819,f19821,f19875,f19877,f19882,f19887,f20028,f20038,f20048,f20050,f20119,f20170,f20171,f20176,f20181,f20186,f20191,f20196,f20201,f20256,f20261,f20265,f20269,f20273,f20277,f20281,f20285,f20289,f20290,f20365,f20369,f20373,f20377,f20381,f20385,f20389,f20393,f20397,f20402,f20403,f20420,f20424,f20428,f20432,f20437,f20442,f20448,f20462,f20504,f20549,f20618,f20730,f20771,f20775,f20785,f20799,f21816,f21862,f21868,f21930,f21986,f21993,f22250,f22341,f22390,f22454,f22459,f22464,f22469,f22474,f22479,f22480]) ).
fof(f22480,plain,
( ~ spl71_16
| ~ spl71_19
| ~ spl71_241
| ~ spl71_338
| ~ spl71_1171 ),
inference(avatar_split_clause,[],[f22386,f20025,f4026,f2619,f735,f720]) ).
fof(f720,plain,
( spl71_16
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_16])]) ).
fof(f735,plain,
( spl71_19
<=> sK21 = app(cons(sK22,nil),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_19])]) ).
fof(f2619,plain,
( spl71_241
<=> sK20 = app(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_241])]) ).
fof(f4026,plain,
( spl71_338
<=> ! [X0] :
( sK20 != app(sK20,X0)
| ~ ssList(X0)
| sK21 != app(app(X0,cons(sK22,nil)),sK23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_338])]) ).
fof(f20025,plain,
( spl71_1171
<=> cons(sK22,nil) = app(nil,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1171])]) ).
fof(f22386,plain,
( ~ ssList(nil)
| ~ spl71_19
| ~ spl71_241
| ~ spl71_338
| ~ spl71_1171 ),
inference(trivial_inequality_removal,[],[f22385]) ).
fof(f22385,plain,
( sK20 != sK20
| ~ ssList(nil)
| ~ spl71_19
| ~ spl71_241
| ~ spl71_338
| ~ spl71_1171 ),
inference(forward_demodulation,[],[f22384,f2621]) ).
fof(f2621,plain,
( sK20 = app(sK20,nil)
| ~ spl71_241 ),
inference(avatar_component_clause,[],[f2619]) ).
fof(f22384,plain,
( ~ ssList(nil)
| sK20 != app(sK20,nil)
| ~ spl71_19
| ~ spl71_338
| ~ spl71_1171 ),
inference(trivial_inequality_removal,[],[f22383]) ).
fof(f22383,plain,
( sK21 != sK21
| ~ ssList(nil)
| sK20 != app(sK20,nil)
| ~ spl71_19
| ~ spl71_338
| ~ spl71_1171 ),
inference(forward_demodulation,[],[f22381,f737]) ).
fof(f737,plain,
( sK21 = app(cons(sK22,nil),sK23)
| ~ spl71_19 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f22381,plain,
( sK21 != app(cons(sK22,nil),sK23)
| ~ ssList(nil)
| sK20 != app(sK20,nil)
| ~ spl71_338
| ~ spl71_1171 ),
inference(superposition,[],[f4027,f20027]) ).
fof(f20027,plain,
( cons(sK22,nil) = app(nil,cons(sK22,nil))
| ~ spl71_1171 ),
inference(avatar_component_clause,[],[f20025]) ).
fof(f4027,plain,
( ! [X0] :
( sK21 != app(app(X0,cons(sK22,nil)),sK23)
| ~ ssList(X0)
| sK20 != app(sK20,X0) )
| ~ spl71_338 ),
inference(avatar_component_clause,[],[f4026]) ).
fof(f22479,plain,
( spl71_1229
| ~ spl71_30
| ~ spl71_286 ),
inference(avatar_split_clause,[],[f20914,f3337,f782,f22476]) ).
fof(f22476,plain,
( spl71_1229
<=> sP17(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1229])]) ).
fof(f782,plain,
( spl71_30
<=> ! [X0] :
( sP17(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_30])]) ).
fof(f3337,plain,
( spl71_286
<=> ssList(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_286])]) ).
fof(f20914,plain,
( sP17(cons(sK22,sK21))
| ~ spl71_30
| ~ spl71_286 ),
inference(resolution,[],[f3338,f783]) ).
fof(f783,plain,
( ! [X0] :
( ~ ssList(X0)
| sP17(X0) )
| ~ spl71_30 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f3338,plain,
( ssList(cons(sK22,sK21))
| ~ spl71_286 ),
inference(avatar_component_clause,[],[f3337]) ).
fof(f22474,plain,
( spl71_1228
| ~ spl71_29
| ~ spl71_286 ),
inference(avatar_split_clause,[],[f20913,f3337,f778,f22471]) ).
fof(f22471,plain,
( spl71_1228
<=> sP15(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1228])]) ).
fof(f778,plain,
( spl71_29
<=> ! [X0] :
( sP15(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_29])]) ).
fof(f20913,plain,
( sP15(cons(sK22,sK21))
| ~ spl71_29
| ~ spl71_286 ),
inference(resolution,[],[f3338,f779]) ).
fof(f779,plain,
( ! [X0] :
( ~ ssList(X0)
| sP15(X0) )
| ~ spl71_29 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f22469,plain,
( spl71_1227
| ~ spl71_28
| ~ spl71_286 ),
inference(avatar_split_clause,[],[f20912,f3337,f774,f22466]) ).
fof(f22466,plain,
( spl71_1227
<=> sP13(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1227])]) ).
fof(f774,plain,
( spl71_28
<=> ! [X0] :
( sP13(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_28])]) ).
fof(f20912,plain,
( sP13(cons(sK22,sK21))
| ~ spl71_28
| ~ spl71_286 ),
inference(resolution,[],[f3338,f775]) ).
fof(f775,plain,
( ! [X0] :
( ~ ssList(X0)
| sP13(X0) )
| ~ spl71_28 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f22464,plain,
( spl71_1226
| ~ spl71_27
| ~ spl71_286 ),
inference(avatar_split_clause,[],[f20911,f3337,f770,f22461]) ).
fof(f22461,plain,
( spl71_1226
<=> sP11(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1226])]) ).
fof(f770,plain,
( spl71_27
<=> ! [X0] :
( sP11(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_27])]) ).
fof(f20911,plain,
( sP11(cons(sK22,sK21))
| ~ spl71_27
| ~ spl71_286 ),
inference(resolution,[],[f3338,f771]) ).
fof(f771,plain,
( ! [X0] :
( ~ ssList(X0)
| sP11(X0) )
| ~ spl71_27 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f22459,plain,
( spl71_1225
| ~ spl71_26
| ~ spl71_286 ),
inference(avatar_split_clause,[],[f20910,f3337,f766,f22456]) ).
fof(f22456,plain,
( spl71_1225
<=> sP9(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1225])]) ).
fof(f766,plain,
( spl71_26
<=> ! [X0] :
( sP9(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_26])]) ).
fof(f20910,plain,
( sP9(cons(sK22,sK21))
| ~ spl71_26
| ~ spl71_286 ),
inference(resolution,[],[f3338,f767]) ).
fof(f767,plain,
( ! [X0] :
( ~ ssList(X0)
| sP9(X0) )
| ~ spl71_26 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f22454,plain,
( spl71_1224
| ~ spl71_25
| ~ spl71_286 ),
inference(avatar_split_clause,[],[f20909,f3337,f762,f22451]) ).
fof(f22451,plain,
( spl71_1224
<=> sP7(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1224])]) ).
fof(f762,plain,
( spl71_25
<=> ! [X0] :
( sP7(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_25])]) ).
fof(f20909,plain,
( sP7(cons(sK22,sK21))
| ~ spl71_25
| ~ spl71_286 ),
inference(resolution,[],[f3338,f763]) ).
fof(f763,plain,
( ! [X0] :
( ~ ssList(X0)
| sP7(X0) )
| ~ spl71_25 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f22390,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_1223
| ~ spl71_19
| ~ spl71_234 ),
inference(avatar_split_clause,[],[f2567,f2555,f735,f22388,f3448,f666]) ).
fof(f666,plain,
( spl71_5
<=> ssList(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_5])]) ).
fof(f3448,plain,
( spl71_292
<=> ssList(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_292])]) ).
fof(f22388,plain,
( spl71_1223
<=> ! [X0] :
( segmentP(app(sK21,X0),sK23)
| ~ ssList(app(sK21,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1223])]) ).
fof(f2555,plain,
( spl71_234
<=> ! [X2,X1,X3] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_234])]) ).
fof(f2567,plain,
( ! [X0] :
( segmentP(app(sK21,X0),sK23)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(app(sK21,X0)) )
| ~ spl71_19
| ~ spl71_234 ),
inference(superposition,[],[f2556,f737]) ).
fof(f2556,plain,
( ! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) )
| ~ spl71_234 ),
inference(avatar_component_clause,[],[f2555]) ).
fof(f22341,plain,
( spl71_1222
| ~ spl71_24
| ~ spl71_286 ),
inference(avatar_split_clause,[],[f20908,f3337,f758,f22338]) ).
fof(f22338,plain,
( spl71_1222
<=> sP5(cons(sK22,sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1222])]) ).
fof(f758,plain,
( spl71_24
<=> ! [X0] :
( sP5(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_24])]) ).
fof(f20908,plain,
( sP5(cons(sK22,sK21))
| ~ spl71_24
| ~ spl71_286 ),
inference(resolution,[],[f3338,f759]) ).
fof(f759,plain,
( ! [X0] :
( ~ ssList(X0)
| sP5(X0) )
| ~ spl71_24 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f22250,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_1221
| ~ spl71_19
| ~ spl71_195 ),
inference(avatar_split_clause,[],[f2153,f2126,f735,f22248,f666,f3448]) ).
fof(f22248,plain,
( spl71_1221
<=> ! [X0] :
( memberP(sK21,X0)
| ~ ssItem(X0)
| ~ memberP(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1221])]) ).
fof(f2126,plain,
( spl71_195
<=> ! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_195])]) ).
fof(f2153,plain,
( ! [X0] :
( memberP(sK21,X0)
| ~ memberP(sK23,X0)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssItem(X0) )
| ~ spl71_19
| ~ spl71_195 ),
inference(superposition,[],[f2127,f737]) ).
fof(f2127,plain,
( ! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl71_195 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f21993,plain,
( spl71_1220
| ~ spl71_4
| ~ spl71_19
| ~ spl71_251
| ~ spl71_278
| ~ spl71_888
| ~ spl71_1219 ),
inference(avatar_split_clause,[],[f21988,f21983,f11791,f3248,f2780,f735,f661,f21990]) ).
fof(f21990,plain,
( spl71_1220
<=> sK21 = cons(sK26(sK21),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1220])]) ).
fof(f661,plain,
( spl71_4
<=> ssItem(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_4])]) ).
fof(f2780,plain,
( spl71_251
<=> hd(sK21) = sK26(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_251])]) ).
fof(f3248,plain,
( spl71_278
<=> ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK23) = app(cons(X0,nil),sK23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_278])]) ).
fof(f11791,plain,
( spl71_888
<=> sK23 = tl(cons(sK22,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_888])]) ).
fof(f21983,plain,
( spl71_1219
<=> sK21 = cons(hd(sK21),tl(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1219])]) ).
fof(f21988,plain,
( sK21 = cons(sK26(sK21),sK23)
| ~ spl71_4
| ~ spl71_19
| ~ spl71_251
| ~ spl71_278
| ~ spl71_888
| ~ spl71_1219 ),
inference(forward_demodulation,[],[f21987,f2782]) ).
fof(f2782,plain,
( hd(sK21) = sK26(sK21)
| ~ spl71_251 ),
inference(avatar_component_clause,[],[f2780]) ).
fof(f21987,plain,
( sK21 = cons(hd(sK21),sK23)
| ~ spl71_4
| ~ spl71_19
| ~ spl71_278
| ~ spl71_888
| ~ spl71_1219 ),
inference(forward_demodulation,[],[f21985,f21827]) ).
fof(f21827,plain,
( sK23 = tl(sK21)
| ~ spl71_4
| ~ spl71_19
| ~ spl71_278
| ~ spl71_888 ),
inference(forward_demodulation,[],[f11793,f4537]) ).
fof(f4537,plain,
( sK21 = cons(sK22,sK23)
| ~ spl71_4
| ~ spl71_19
| ~ spl71_278 ),
inference(forward_demodulation,[],[f4517,f737]) ).
fof(f4517,plain,
( app(cons(sK22,nil),sK23) = cons(sK22,sK23)
| ~ spl71_4
| ~ spl71_278 ),
inference(resolution,[],[f3249,f663]) ).
fof(f663,plain,
( ssItem(sK22)
| ~ spl71_4 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f3249,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK23) = app(cons(X0,nil),sK23) )
| ~ spl71_278 ),
inference(avatar_component_clause,[],[f3248]) ).
fof(f11793,plain,
( sK23 = tl(cons(sK22,sK23))
| ~ spl71_888 ),
inference(avatar_component_clause,[],[f11791]) ).
fof(f21985,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| ~ spl71_1219 ),
inference(avatar_component_clause,[],[f21983]) ).
fof(f21986,plain,
( spl71_1219
| spl71_7
| ~ spl71_2
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1974,f1916,f651,f675,f21983]) ).
fof(f675,plain,
( spl71_7
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_7])]) ).
fof(f651,plain,
( spl71_2
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_2])]) ).
fof(f1916,plain,
( spl71_181
<=> ! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_181])]) ).
fof(f1974,plain,
( nil = sK21
| sK21 = cons(hd(sK21),tl(sK21))
| ~ spl71_2
| ~ spl71_181 ),
inference(resolution,[],[f1917,f653]) ).
fof(f653,plain,
( ssList(sK21)
| ~ spl71_2 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f1917,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl71_181 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f21930,plain,
( spl71_1218
| spl71_7
| ~ spl71_2
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1939,f1912,f651,f675,f21927]) ).
fof(f21927,plain,
( spl71_1218
<=> sK21 = cons(sK25(sK21),sK24(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1218])]) ).
fof(f1912,plain,
( spl71_180
<=> ! [X0] :
( cons(sK25(X0),sK24(X0)) = X0
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_180])]) ).
fof(f1939,plain,
( nil = sK21
| sK21 = cons(sK25(sK21),sK24(sK21))
| ~ spl71_2
| ~ spl71_180 ),
inference(resolution,[],[f1913,f653]) ).
fof(f1913,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK25(X0),sK24(X0)) = X0 )
| ~ spl71_180 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f21868,plain,
( spl71_1217
| ~ spl71_4
| ~ spl71_19
| ~ spl71_278
| ~ spl71_888
| ~ spl71_1216 ),
inference(avatar_split_clause,[],[f21863,f21859,f11791,f3248,f735,f661,f21865]) ).
fof(f21865,plain,
( spl71_1217
<=> sK23 = sK27(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1217])]) ).
fof(f21859,plain,
( spl71_1216
<=> tl(sK21) = sK27(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1216])]) ).
fof(f21863,plain,
( sK23 = sK27(sK21)
| ~ spl71_4
| ~ spl71_19
| ~ spl71_278
| ~ spl71_888
| ~ spl71_1216 ),
inference(forward_demodulation,[],[f21861,f21827]) ).
fof(f21861,plain,
( tl(sK21) = sK27(sK21)
| ~ spl71_1216 ),
inference(avatar_component_clause,[],[f21859]) ).
fof(f21862,plain,
( spl71_1216
| spl71_7
| ~ spl71_2
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1709,f1627,f651,f675,f21859]) ).
fof(f1627,plain,
( spl71_166
<=> ! [X0] :
( tl(X0) = sK27(X0)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_166])]) ).
fof(f1709,plain,
( nil = sK21
| tl(sK21) = sK27(sK21)
| ~ spl71_2
| ~ spl71_166 ),
inference(resolution,[],[f1628,f653]) ).
fof(f1628,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK27(X0) )
| ~ spl71_166 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f21816,plain,
( spl71_6
| ~ spl71_4
| ~ spl71_19
| ~ spl71_278
| ~ spl71_835 ),
inference(avatar_split_clause,[],[f20853,f10956,f3248,f735,f661,f671]) ).
fof(f671,plain,
( spl71_6
<=> sK20 = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_6])]) ).
fof(f10956,plain,
( spl71_835
<=> sK20 = cons(sK22,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_835])]) ).
fof(f20853,plain,
( sK20 = sK21
| ~ spl71_4
| ~ spl71_19
| ~ spl71_278
| ~ spl71_835 ),
inference(forward_demodulation,[],[f4537,f10958]) ).
fof(f10958,plain,
( sK20 = cons(sK22,sK23)
| ~ spl71_835 ),
inference(avatar_component_clause,[],[f10956]) ).
fof(f20799,plain,
( ~ spl71_16
| ~ spl71_6
| ~ spl71_19
| ~ spl71_241
| ~ spl71_410
| ~ spl71_1171 ),
inference(avatar_split_clause,[],[f20725,f20025,f4752,f2619,f735,f671,f720]) ).
fof(f4752,plain,
( spl71_410
<=> ! [X0] :
( sK20 != app(app(X0,cons(sK22,nil)),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_410])]) ).
fof(f20725,plain,
( ~ ssList(nil)
| ~ spl71_6
| ~ spl71_19
| ~ spl71_241
| ~ spl71_410
| ~ spl71_1171 ),
inference(trivial_inequality_removal,[],[f20724]) ).
fof(f20724,plain,
( sK20 != sK20
| ~ ssList(nil)
| ~ spl71_6
| ~ spl71_19
| ~ spl71_241
| ~ spl71_410
| ~ spl71_1171 ),
inference(forward_demodulation,[],[f20723,f2621]) ).
fof(f20723,plain,
( sK20 != app(sK20,nil)
| ~ ssList(nil)
| ~ spl71_6
| ~ spl71_19
| ~ spl71_410
| ~ spl71_1171 ),
inference(trivial_inequality_removal,[],[f20722]) ).
fof(f20722,plain,
( sK20 != sK20
| sK20 != app(sK20,nil)
| ~ ssList(nil)
| ~ spl71_6
| ~ spl71_19
| ~ spl71_410
| ~ spl71_1171 ),
inference(forward_demodulation,[],[f20721,f673]) ).
fof(f673,plain,
( sK20 = sK21
| ~ spl71_6 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f20721,plain,
( sK20 != sK21
| sK20 != app(sK20,nil)
| ~ ssList(nil)
| ~ spl71_19
| ~ spl71_410
| ~ spl71_1171 ),
inference(forward_demodulation,[],[f20656,f737]) ).
fof(f20656,plain,
( sK20 != app(cons(sK22,nil),sK23)
| sK20 != app(sK20,nil)
| ~ ssList(nil)
| ~ spl71_410
| ~ spl71_1171 ),
inference(superposition,[],[f4753,f20027]) ).
fof(f4753,plain,
( ! [X0] :
( sK20 != app(app(X0,cons(sK22,nil)),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) )
| ~ spl71_410 ),
inference(avatar_component_clause,[],[f4752]) ).
fof(f20785,plain,
( spl71_255
| spl71_1215
| ~ spl71_5
| ~ spl71_254
| ~ spl71_285
| ~ spl71_1129 ),
inference(avatar_split_clause,[],[f20126,f19431,f3332,f2897,f666,f20782,f2901]) ).
fof(f2901,plain,
( spl71_255
<=> nil = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_255])]) ).
fof(f20782,plain,
( spl71_1215
<=> sK22 = hd(app(sK23,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1215])]) ).
fof(f2897,plain,
( spl71_254
<=> hd(sK23) = sK26(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_254])]) ).
fof(f3332,plain,
( spl71_285
<=> ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK23))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_285])]) ).
fof(f19431,plain,
( spl71_1129
<=> sK22 = sK26(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1129])]) ).
fof(f20126,plain,
( sK22 = hd(app(sK23,sK23))
| nil = sK23
| ~ spl71_5
| ~ spl71_254
| ~ spl71_285
| ~ spl71_1129 ),
inference(forward_demodulation,[],[f4582,f19433]) ).
fof(f19433,plain,
( sK22 = sK26(sK23)
| ~ spl71_1129 ),
inference(avatar_component_clause,[],[f19431]) ).
fof(f4582,plain,
( sK26(sK23) = hd(app(sK23,sK23))
| nil = sK23
| ~ spl71_5
| ~ spl71_254
| ~ spl71_285 ),
inference(forward_demodulation,[],[f4546,f2899]) ).
fof(f2899,plain,
( hd(sK23) = sK26(sK23)
| ~ spl71_254 ),
inference(avatar_component_clause,[],[f2897]) ).
fof(f4546,plain,
( hd(sK23) = hd(app(sK23,sK23))
| nil = sK23
| ~ spl71_5
| ~ spl71_285 ),
inference(resolution,[],[f3333,f668]) ).
fof(f668,plain,
( ssList(sK23)
| ~ spl71_5 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f3333,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK23))
| nil = X0 )
| ~ spl71_285 ),
inference(avatar_component_clause,[],[f3332]) ).
fof(f20775,plain,
( spl71_255
| spl71_1214
| ~ spl71_161
| ~ spl71_254
| ~ spl71_1129 ),
inference(avatar_split_clause,[],[f20125,f19431,f2897,f1607,f20773,f2901]) ).
fof(f20773,plain,
( spl71_1214
<=> ! [X0] :
( leq(X0,sK22)
| ~ sP0(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1214])]) ).
fof(f1607,plain,
( spl71_161
<=> ! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_161])]) ).
fof(f20125,plain,
( ! [X0] :
( leq(X0,sK22)
| nil = sK23
| ~ sP0(sK23,X0) )
| ~ spl71_161
| ~ spl71_254
| ~ spl71_1129 ),
inference(forward_demodulation,[],[f4339,f19433]) ).
fof(f4339,plain,
( ! [X0] :
( leq(X0,sK26(sK23))
| nil = sK23
| ~ sP0(sK23,X0) )
| ~ spl71_161
| ~ spl71_254 ),
inference(superposition,[],[f1608,f2899]) ).
fof(f1608,plain,
( ! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) )
| ~ spl71_161 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f20771,plain,
( spl71_255
| spl71_1213
| ~ spl71_164
| ~ spl71_254
| ~ spl71_1129 ),
inference(avatar_split_clause,[],[f20124,f19431,f2897,f1619,f20769,f2901]) ).
fof(f20769,plain,
( spl71_1213
<=> ! [X0] :
( lt(X0,sK22)
| ~ sP2(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1213])]) ).
fof(f1619,plain,
( spl71_164
<=> ! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_164])]) ).
fof(f20124,plain,
( ! [X0] :
( lt(X0,sK22)
| nil = sK23
| ~ sP2(sK23,X0) )
| ~ spl71_164
| ~ spl71_254
| ~ spl71_1129 ),
inference(forward_demodulation,[],[f4338,f19433]) ).
fof(f4338,plain,
( ! [X0] :
( lt(X0,sK26(sK23))
| nil = sK23
| ~ sP2(sK23,X0) )
| ~ spl71_164
| ~ spl71_254 ),
inference(superposition,[],[f1620,f2899]) ).
fof(f1620,plain,
( ! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) )
| ~ spl71_164 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f20730,plain,
( spl71_255
| spl71_1212
| ~ spl71_16
| ~ spl71_244
| ~ spl71_256
| ~ spl71_308
| ~ spl71_897 ),
inference(avatar_split_clause,[],[f20121,f11980,f3580,f2949,f2634,f720,f20727,f2901]) ).
fof(f20727,plain,
( spl71_1212
<=> sK23 = app(tl(nil),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1212])]) ).
fof(f2634,plain,
( spl71_244
<=> sK20 = app(nil,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_244])]) ).
fof(f2949,plain,
( spl71_256
<=> tl(sK20) = sK27(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_256])]) ).
fof(f3580,plain,
( spl71_308
<=> ! [X0] :
( sK23 = X0
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_308])]) ).
fof(f11980,plain,
( spl71_897
<=> sK23 = sK27(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_897])]) ).
fof(f20121,plain,
( sK23 = app(tl(nil),sK20)
| nil = sK23
| ~ spl71_16
| ~ spl71_244
| ~ spl71_256
| ~ spl71_308
| ~ spl71_897 ),
inference(forward_demodulation,[],[f4284,f11982]) ).
fof(f11982,plain,
( sK23 = sK27(sK20)
| ~ spl71_897 ),
inference(avatar_component_clause,[],[f11980]) ).
fof(f4284,plain,
( sK27(sK20) = app(tl(nil),sK20)
| nil = sK23
| ~ spl71_16
| ~ spl71_244
| ~ spl71_256
| ~ spl71_308 ),
inference(forward_demodulation,[],[f4283,f2951]) ).
fof(f2951,plain,
( tl(sK20) = sK27(sK20)
| ~ spl71_256 ),
inference(avatar_component_clause,[],[f2949]) ).
fof(f4283,plain,
( tl(sK20) = app(tl(nil),sK20)
| nil = sK23
| ~ spl71_16
| ~ spl71_244
| ~ spl71_308 ),
inference(forward_demodulation,[],[f3589,f2636]) ).
fof(f2636,plain,
( sK20 = app(nil,sK20)
| ~ spl71_244 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f3589,plain,
( tl(app(nil,sK20)) = app(tl(nil),sK20)
| nil = sK23
| ~ spl71_16
| ~ spl71_308 ),
inference(resolution,[],[f3581,f722]) ).
fof(f722,plain,
( ssList(nil)
| ~ spl71_16 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f3581,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| sK23 = X0 )
| ~ spl71_308 ),
inference(avatar_component_clause,[],[f3580]) ).
fof(f20618,plain,
( spl71_1211
| spl71_414
| ~ spl71_562 ),
inference(avatar_split_clause,[],[f6138,f5955,f4780,f20615]) ).
fof(f20615,plain,
( spl71_1211
<=> sK36(sK20) = app(sK36(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1211])]) ).
fof(f4780,plain,
( spl71_414
<=> sP6(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_414])]) ).
fof(f5955,plain,
( spl71_562
<=> ! [X0] :
( sK36(X0) = app(sK36(X0),nil)
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_562])]) ).
fof(f6138,plain,
( sK36(sK20) = app(sK36(sK20),nil)
| spl71_414
| ~ spl71_562 ),
inference(resolution,[],[f5956,f4782]) ).
fof(f4782,plain,
( ~ sP6(sK20)
| spl71_414 ),
inference(avatar_component_clause,[],[f4780]) ).
fof(f5956,plain,
( ! [X0] :
( sP6(X0)
| sK36(X0) = app(sK36(X0),nil) )
| ~ spl71_562 ),
inference(avatar_component_clause,[],[f5955]) ).
fof(f20549,plain,
( spl71_1210
| spl71_467
| ~ spl71_561 ),
inference(avatar_split_clause,[],[f6135,f5951,f4999,f20546]) ).
fof(f20546,plain,
( spl71_1210
<=> sK35(sK23) = app(sK35(sK23),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1210])]) ).
fof(f4999,plain,
( spl71_467
<=> sP6(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_467])]) ).
fof(f5951,plain,
( spl71_561
<=> ! [X0] :
( sK35(X0) = app(sK35(X0),nil)
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_561])]) ).
fof(f6135,plain,
( sK35(sK23) = app(sK35(sK23),nil)
| spl71_467
| ~ spl71_561 ),
inference(resolution,[],[f5952,f5000]) ).
fof(f5000,plain,
( ~ sP6(sK23)
| spl71_467 ),
inference(avatar_component_clause,[],[f4999]) ).
fof(f5952,plain,
( ! [X0] :
( sP6(X0)
| sK35(X0) = app(sK35(X0),nil) )
| ~ spl71_561 ),
inference(avatar_component_clause,[],[f5951]) ).
fof(f20504,plain,
( spl71_1209
| spl71_414
| ~ spl71_561 ),
inference(avatar_split_clause,[],[f6134,f5951,f4780,f20501]) ).
fof(f20501,plain,
( spl71_1209
<=> sK35(sK20) = app(sK35(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1209])]) ).
fof(f6134,plain,
( sK35(sK20) = app(sK35(sK20),nil)
| spl71_414
| ~ spl71_561 ),
inference(resolution,[],[f5952,f4782]) ).
fof(f20462,plain,
( spl71_1207
| spl71_257
| ~ spl71_2
| ~ spl71_6
| ~ spl71_290
| ~ spl71_945 ),
inference(avatar_split_clause,[],[f13870,f13609,f3359,f671,f651,f2958,f20439]) ).
fof(f20439,plain,
( spl71_1207
<=> sK22 = hd(app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1207])]) ).
fof(f2958,plain,
( spl71_257
<=> sK20 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_257])]) ).
fof(f3359,plain,
( spl71_290
<=> ! [X0] :
( sK23 = X0
| hd(X0) = hd(app(X0,sK20))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_290])]) ).
fof(f13609,plain,
( spl71_945
<=> sK22 = hd(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_945])]) ).
fof(f13870,plain,
( sK20 = sK23
| sK22 = hd(app(sK20,sK20))
| ~ spl71_2
| ~ spl71_6
| ~ spl71_290
| ~ spl71_945 ),
inference(forward_demodulation,[],[f13869,f673]) ).
fof(f13869,plain,
( sK22 = hd(app(sK20,sK20))
| sK21 = sK23
| ~ spl71_2
| ~ spl71_6
| ~ spl71_290
| ~ spl71_945 ),
inference(forward_demodulation,[],[f3403,f13611]) ).
fof(f13611,plain,
( sK22 = hd(sK20)
| ~ spl71_945 ),
inference(avatar_component_clause,[],[f13609]) ).
fof(f3403,plain,
( hd(sK20) = hd(app(sK20,sK20))
| sK21 = sK23
| ~ spl71_2
| ~ spl71_6
| ~ spl71_290 ),
inference(forward_demodulation,[],[f3371,f673]) ).
fof(f3371,plain,
( hd(sK21) = hd(app(sK21,sK20))
| sK21 = sK23
| ~ spl71_2
| ~ spl71_290 ),
inference(resolution,[],[f3360,f653]) ).
fof(f3360,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK20))
| sK23 = X0 )
| ~ spl71_290 ),
inference(avatar_component_clause,[],[f3359]) ).
fof(f20448,plain,
( spl71_1208
| spl71_250
| ~ spl71_2
| ~ spl71_6
| ~ spl71_285
| ~ spl71_945 ),
inference(avatar_split_clause,[],[f13863,f13609,f3332,f671,f651,f2770,f20445]) ).
fof(f20445,plain,
( spl71_1208
<=> sK22 = hd(app(sK20,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1208])]) ).
fof(f2770,plain,
( spl71_250
<=> nil = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_250])]) ).
fof(f13863,plain,
( nil = sK20
| sK22 = hd(app(sK20,sK23))
| ~ spl71_2
| ~ spl71_6
| ~ spl71_285
| ~ spl71_945 ),
inference(forward_demodulation,[],[f13862,f673]) ).
fof(f13862,plain,
( sK22 = hd(app(sK20,sK23))
| nil = sK21
| ~ spl71_2
| ~ spl71_6
| ~ spl71_285
| ~ spl71_945 ),
inference(forward_demodulation,[],[f4579,f13611]) ).
fof(f4579,plain,
( hd(sK20) = hd(app(sK20,sK23))
| nil = sK21
| ~ spl71_2
| ~ spl71_6
| ~ spl71_285 ),
inference(forward_demodulation,[],[f4545,f673]) ).
fof(f4545,plain,
( hd(sK21) = hd(app(sK21,sK23))
| nil = sK21
| ~ spl71_2
| ~ spl71_285 ),
inference(resolution,[],[f3333,f653]) ).
fof(f20442,plain,
( spl71_1207
| spl71_250
| ~ spl71_2
| ~ spl71_6
| ~ spl71_283
| ~ spl71_945 ),
inference(avatar_split_clause,[],[f13860,f13609,f3321,f671,f651,f2770,f20439]) ).
fof(f3321,plain,
( spl71_283
<=> ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK20))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_283])]) ).
fof(f13860,plain,
( nil = sK20
| sK22 = hd(app(sK20,sK20))
| ~ spl71_2
| ~ spl71_6
| ~ spl71_283
| ~ spl71_945 ),
inference(forward_demodulation,[],[f13859,f673]) ).
fof(f13859,plain,
( sK22 = hd(app(sK20,sK20))
| nil = sK21
| ~ spl71_2
| ~ spl71_6
| ~ spl71_283
| ~ spl71_945 ),
inference(forward_demodulation,[],[f4639,f13611]) ).
fof(f4639,plain,
( hd(sK20) = hd(app(sK20,sK20))
| nil = sK21
| ~ spl71_2
| ~ spl71_6
| ~ spl71_283 ),
inference(forward_demodulation,[],[f4606,f673]) ).
fof(f4606,plain,
( hd(sK21) = hd(app(sK21,sK20))
| nil = sK21
| ~ spl71_2
| ~ spl71_283 ),
inference(resolution,[],[f3322,f653]) ).
fof(f3322,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK20))
| nil = X0 )
| ~ spl71_283 ),
inference(avatar_component_clause,[],[f3321]) ).
fof(f20437,plain,
( spl71_1206
| ~ spl71_4
| ~ spl71_674 ),
inference(avatar_split_clause,[],[f7290,f6665,f661,f20434]) ).
fof(f20434,plain,
( spl71_1206
<=> cons(sK22,nil) = app(cons(sK22,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1206])]) ).
fof(f6665,plain,
( spl71_674
<=> ! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = app(cons(X0,nil),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_674])]) ).
fof(f7290,plain,
( cons(sK22,nil) = app(cons(sK22,nil),nil)
| ~ spl71_4
| ~ spl71_674 ),
inference(resolution,[],[f6666,f663]) ).
fof(f6666,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = app(cons(X0,nil),nil) )
| ~ spl71_674 ),
inference(avatar_component_clause,[],[f6665]) ).
fof(f20432,plain,
( spl71_1205
| ~ spl71_4
| ~ spl71_629 ),
inference(avatar_split_clause,[],[f7165,f6435,f661,f20430]) ).
fof(f20430,plain,
( spl71_1205
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK62(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1205])]) ).
fof(f6435,plain,
( spl71_629
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK62(X1))) = X0
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_629])]) ).
fof(f7165,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK62(X0)))
| sP16(X0) )
| ~ spl71_4
| ~ spl71_629 ),
inference(resolution,[],[f6436,f663]) ).
fof(f6436,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK62(X1))) = X0
| sP16(X1) )
| ~ spl71_629 ),
inference(avatar_component_clause,[],[f6435]) ).
fof(f20428,plain,
( spl71_1204
| ~ spl71_4
| ~ spl71_628 ),
inference(avatar_split_clause,[],[f7139,f6431,f661,f20426]) ).
fof(f20426,plain,
( spl71_1204
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK61(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1204])]) ).
fof(f6431,plain,
( spl71_628
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK61(X1))) = X0
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_628])]) ).
fof(f7139,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK61(X0)))
| sP16(X0) )
| ~ spl71_4
| ~ spl71_628 ),
inference(resolution,[],[f6432,f663]) ).
fof(f6432,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK61(X1))) = X0
| sP16(X1) )
| ~ spl71_628 ),
inference(avatar_component_clause,[],[f6431]) ).
fof(f20424,plain,
( spl71_1203
| ~ spl71_4
| ~ spl71_626 ),
inference(avatar_split_clause,[],[f7118,f6422,f661,f20422]) ).
fof(f20422,plain,
( spl71_1203
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK60(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1203])]) ).
fof(f6422,plain,
( spl71_626
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK60(X1))) = X0
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_626])]) ).
fof(f7118,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK60(X0)))
| sP16(X0) )
| ~ spl71_4
| ~ spl71_626 ),
inference(resolution,[],[f6423,f663]) ).
fof(f6423,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK60(X1))) = X0
| sP16(X1) )
| ~ spl71_626 ),
inference(avatar_component_clause,[],[f6422]) ).
fof(f20420,plain,
( spl71_1202
| ~ spl71_4
| ~ spl71_625 ),
inference(avatar_split_clause,[],[f7097,f6418,f661,f20418]) ).
fof(f20418,plain,
( spl71_1202
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK57(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1202])]) ).
fof(f6418,plain,
( spl71_625
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK57(X1))) = X0
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_625])]) ).
fof(f7097,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK57(X0)))
| sP14(X0) )
| ~ spl71_4
| ~ spl71_625 ),
inference(resolution,[],[f6419,f663]) ).
fof(f6419,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK57(X1))) = X0
| sP14(X1) )
| ~ spl71_625 ),
inference(avatar_component_clause,[],[f6418]) ).
fof(f20403,plain,
( ~ spl71_247
| ~ spl71_6
| spl71_401 ),
inference(avatar_split_clause,[],[f4373,f4369,f671,f2649]) ).
fof(f2649,plain,
( spl71_247
<=> sP4(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_247])]) ).
fof(f4369,plain,
( spl71_401
<=> sP4(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_401])]) ).
fof(f4373,plain,
( ~ sP4(sK20)
| ~ spl71_6
| spl71_401 ),
inference(forward_demodulation,[],[f4371,f673]) ).
fof(f4371,plain,
( ~ sP4(sK21)
| spl71_401 ),
inference(avatar_component_clause,[],[f4369]) ).
fof(f20402,plain,
( spl71_1201
| spl71_247
| ~ spl71_560 ),
inference(avatar_split_clause,[],[f6131,f5947,f2649,f20399]) ).
fof(f20399,plain,
( spl71_1201
<=> sK32(sK20) = app(sK32(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1201])]) ).
fof(f5947,plain,
( spl71_560
<=> ! [X0] :
( sK32(X0) = app(sK32(X0),nil)
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_560])]) ).
fof(f6131,plain,
( sK32(sK20) = app(sK32(sK20),nil)
| spl71_247
| ~ spl71_560 ),
inference(resolution,[],[f5948,f2650]) ).
fof(f2650,plain,
( ~ sP4(sK20)
| spl71_247 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f5948,plain,
( ! [X0] :
( sP4(X0)
| sK32(X0) = app(sK32(X0),nil) )
| ~ spl71_560 ),
inference(avatar_component_clause,[],[f5947]) ).
fof(f20397,plain,
( spl71_1200
| ~ spl71_4
| ~ spl71_624 ),
inference(avatar_split_clause,[],[f7076,f6414,f661,f20395]) ).
fof(f20395,plain,
( spl71_1200
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK56(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1200])]) ).
fof(f6414,plain,
( spl71_624
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK56(X1))) = X0
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_624])]) ).
fof(f7076,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK56(X0)))
| sP14(X0) )
| ~ spl71_4
| ~ spl71_624 ),
inference(resolution,[],[f6415,f663]) ).
fof(f6415,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK56(X1))) = X0
| sP14(X1) )
| ~ spl71_624 ),
inference(avatar_component_clause,[],[f6414]) ).
fof(f20393,plain,
( spl71_1199
| ~ spl71_4
| ~ spl71_623 ),
inference(avatar_split_clause,[],[f7055,f6410,f661,f20391]) ).
fof(f20391,plain,
( spl71_1199
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK55(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1199])]) ).
fof(f6410,plain,
( spl71_623
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(X1))) = X0
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_623])]) ).
fof(f7055,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK55(X0)))
| sP14(X0) )
| ~ spl71_4
| ~ spl71_623 ),
inference(resolution,[],[f6411,f663]) ).
fof(f6411,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(X1))) = X0
| sP14(X1) )
| ~ spl71_623 ),
inference(avatar_component_clause,[],[f6410]) ).
fof(f20389,plain,
( spl71_1198
| ~ spl71_4
| ~ spl71_622 ),
inference(avatar_split_clause,[],[f7034,f6406,f661,f20387]) ).
fof(f20387,plain,
( spl71_1198
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK52(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1198])]) ).
fof(f6406,plain,
( spl71_622
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK52(X1))) = X0
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_622])]) ).
fof(f7034,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK52(X0)))
| sP12(X0) )
| ~ spl71_4
| ~ spl71_622 ),
inference(resolution,[],[f6407,f663]) ).
fof(f6407,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK52(X1))) = X0
| sP12(X1) )
| ~ spl71_622 ),
inference(avatar_component_clause,[],[f6406]) ).
fof(f20385,plain,
( spl71_1197
| ~ spl71_4
| ~ spl71_621 ),
inference(avatar_split_clause,[],[f7013,f6402,f661,f20383]) ).
fof(f20383,plain,
( spl71_1197
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK51(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1197])]) ).
fof(f6402,plain,
( spl71_621
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK51(X1))) = X0
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_621])]) ).
fof(f7013,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK51(X0)))
| sP12(X0) )
| ~ spl71_4
| ~ spl71_621 ),
inference(resolution,[],[f6403,f663]) ).
fof(f6403,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK51(X1))) = X0
| sP12(X1) )
| ~ spl71_621 ),
inference(avatar_component_clause,[],[f6402]) ).
fof(f20381,plain,
( spl71_1196
| ~ spl71_4
| ~ spl71_620 ),
inference(avatar_split_clause,[],[f6992,f6398,f661,f20379]) ).
fof(f20379,plain,
( spl71_1196
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK50(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1196])]) ).
fof(f6398,plain,
( spl71_620
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK50(X1))) = X0
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_620])]) ).
fof(f6992,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK50(X0)))
| sP12(X0) )
| ~ spl71_4
| ~ spl71_620 ),
inference(resolution,[],[f6399,f663]) ).
fof(f6399,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK50(X1))) = X0
| sP12(X1) )
| ~ spl71_620 ),
inference(avatar_component_clause,[],[f6398]) ).
fof(f20377,plain,
( spl71_1195
| ~ spl71_4
| ~ spl71_619 ),
inference(avatar_split_clause,[],[f6971,f6394,f661,f20375]) ).
fof(f20375,plain,
( spl71_1195
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK47(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1195])]) ).
fof(f6394,plain,
( spl71_619
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK47(X1))) = X0
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_619])]) ).
fof(f6971,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK47(X0)))
| sP10(X0) )
| ~ spl71_4
| ~ spl71_619 ),
inference(resolution,[],[f6395,f663]) ).
fof(f6395,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK47(X1))) = X0
| sP10(X1) )
| ~ spl71_619 ),
inference(avatar_component_clause,[],[f6394]) ).
fof(f20373,plain,
( spl71_1194
| ~ spl71_4
| ~ spl71_618 ),
inference(avatar_split_clause,[],[f6950,f6390,f661,f20371]) ).
fof(f20371,plain,
( spl71_1194
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK46(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1194])]) ).
fof(f6390,plain,
( spl71_618
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK46(X1))) = X0
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_618])]) ).
fof(f6950,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK46(X0)))
| sP10(X0) )
| ~ spl71_4
| ~ spl71_618 ),
inference(resolution,[],[f6391,f663]) ).
fof(f6391,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK46(X1))) = X0
| sP10(X1) )
| ~ spl71_618 ),
inference(avatar_component_clause,[],[f6390]) ).
fof(f20369,plain,
( spl71_1193
| ~ spl71_4
| ~ spl71_617 ),
inference(avatar_split_clause,[],[f6924,f6386,f661,f20367]) ).
fof(f20367,plain,
( spl71_1193
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK45(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1193])]) ).
fof(f6386,plain,
( spl71_617
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK45(X1))) = X0
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_617])]) ).
fof(f6924,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK45(X0)))
| sP10(X0) )
| ~ spl71_4
| ~ spl71_617 ),
inference(resolution,[],[f6387,f663]) ).
fof(f6387,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK45(X1))) = X0
| sP10(X1) )
| ~ spl71_617 ),
inference(avatar_component_clause,[],[f6386]) ).
fof(f20365,plain,
( spl71_1192
| ~ spl71_4
| ~ spl71_616 ),
inference(avatar_split_clause,[],[f6903,f6381,f661,f20363]) ).
fof(f20363,plain,
( spl71_1192
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK42(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1192])]) ).
fof(f6381,plain,
( spl71_616
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK42(X1))) = X0
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_616])]) ).
fof(f6903,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK42(X0)))
| sP8(X0) )
| ~ spl71_4
| ~ spl71_616 ),
inference(resolution,[],[f6382,f663]) ).
fof(f6382,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK42(X1))) = X0
| sP8(X1) )
| ~ spl71_616 ),
inference(avatar_component_clause,[],[f6381]) ).
fof(f20290,plain,
( ~ spl71_5
| spl71_255
| ~ spl71_134
| spl71_1172 ),
inference(avatar_split_clause,[],[f20039,f20031,f1434,f2901,f666]) ).
fof(f1434,plain,
( spl71_134
<=> ! [X0] :
( ssItem(sK25(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_134])]) ).
fof(f20031,plain,
( spl71_1172
<=> ssItem(sK25(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1172])]) ).
fof(f20039,plain,
( nil = sK23
| ~ ssList(sK23)
| ~ spl71_134
| spl71_1172 ),
inference(resolution,[],[f20033,f1435]) ).
fof(f1435,plain,
( ! [X0] :
( ssItem(sK25(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_134 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f20033,plain,
( ~ ssItem(sK25(sK23))
| spl71_1172 ),
inference(avatar_component_clause,[],[f20031]) ).
fof(f20289,plain,
( spl71_1191
| ~ spl71_4
| ~ spl71_615 ),
inference(avatar_split_clause,[],[f6882,f6377,f661,f20287]) ).
fof(f20287,plain,
( spl71_1191
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK41(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1191])]) ).
fof(f6377,plain,
( spl71_615
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK41(X1))) = X0
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_615])]) ).
fof(f6882,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK41(X0)))
| sP8(X0) )
| ~ spl71_4
| ~ spl71_615 ),
inference(resolution,[],[f6378,f663]) ).
fof(f6378,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK41(X1))) = X0
| sP8(X1) )
| ~ spl71_615 ),
inference(avatar_component_clause,[],[f6377]) ).
fof(f20285,plain,
( spl71_1190
| ~ spl71_4
| ~ spl71_614 ),
inference(avatar_split_clause,[],[f6861,f6373,f661,f20283]) ).
fof(f20283,plain,
( spl71_1190
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK40(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1190])]) ).
fof(f6373,plain,
( spl71_614
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK40(X1))) = X0
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_614])]) ).
fof(f6861,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK40(X0)))
| sP8(X0) )
| ~ spl71_4
| ~ spl71_614 ),
inference(resolution,[],[f6374,f663]) ).
fof(f6374,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK40(X1))) = X0
| sP8(X1) )
| ~ spl71_614 ),
inference(avatar_component_clause,[],[f6373]) ).
fof(f20281,plain,
( spl71_1189
| ~ spl71_4
| ~ spl71_613 ),
inference(avatar_split_clause,[],[f6840,f6369,f661,f20279]) ).
fof(f20279,plain,
( spl71_1189
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK37(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1189])]) ).
fof(f6369,plain,
( spl71_613
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK37(X1))) = X0
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_613])]) ).
fof(f6840,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK37(X0)))
| sP6(X0) )
| ~ spl71_4
| ~ spl71_613 ),
inference(resolution,[],[f6370,f663]) ).
fof(f6370,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK37(X1))) = X0
| sP6(X1) )
| ~ spl71_613 ),
inference(avatar_component_clause,[],[f6369]) ).
fof(f20277,plain,
( spl71_1188
| ~ spl71_4
| ~ spl71_612 ),
inference(avatar_split_clause,[],[f6819,f6365,f661,f20275]) ).
fof(f20275,plain,
( spl71_1188
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK36(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1188])]) ).
fof(f6365,plain,
( spl71_612
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK36(X1))) = X0
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_612])]) ).
fof(f6819,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK36(X0)))
| sP6(X0) )
| ~ spl71_4
| ~ spl71_612 ),
inference(resolution,[],[f6366,f663]) ).
fof(f6366,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK36(X1))) = X0
| sP6(X1) )
| ~ spl71_612 ),
inference(avatar_component_clause,[],[f6365]) ).
fof(f20273,plain,
( spl71_1187
| ~ spl71_4
| ~ spl71_611 ),
inference(avatar_split_clause,[],[f6798,f6361,f661,f20271]) ).
fof(f20271,plain,
( spl71_1187
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK35(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1187])]) ).
fof(f6361,plain,
( spl71_611
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK35(X1))) = X0
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_611])]) ).
fof(f6798,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK35(X0)))
| sP6(X0) )
| ~ spl71_4
| ~ spl71_611 ),
inference(resolution,[],[f6362,f663]) ).
fof(f6362,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK35(X1))) = X0
| sP6(X1) )
| ~ spl71_611 ),
inference(avatar_component_clause,[],[f6361]) ).
fof(f20269,plain,
( spl71_1186
| ~ spl71_4
| ~ spl71_610 ),
inference(avatar_split_clause,[],[f6777,f6357,f661,f20267]) ).
fof(f20267,plain,
( spl71_1186
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK32(X0)))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1186])]) ).
fof(f6357,plain,
( spl71_610
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK32(X1))) = X0
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_610])]) ).
fof(f6777,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK32(X0)))
| sP4(X0) )
| ~ spl71_4
| ~ spl71_610 ),
inference(resolution,[],[f6358,f663]) ).
fof(f6358,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK32(X1))) = X0
| sP4(X1) )
| ~ spl71_610 ),
inference(avatar_component_clause,[],[f6357]) ).
fof(f20265,plain,
( spl71_1185
| ~ spl71_4
| ~ spl71_609 ),
inference(avatar_split_clause,[],[f6756,f6353,f661,f20263]) ).
fof(f20263,plain,
( spl71_1185
<=> ! [X0] :
( sK22 = hd(cons(sK22,sK31(X0)))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1185])]) ).
fof(f6353,plain,
( spl71_609
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK31(X1))) = X0
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_609])]) ).
fof(f6756,plain,
( ! [X0] :
( sK22 = hd(cons(sK22,sK31(X0)))
| sP4(X0) )
| ~ spl71_4
| ~ spl71_609 ),
inference(resolution,[],[f6354,f663]) ).
fof(f6354,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK31(X1))) = X0
| sP4(X1) )
| ~ spl71_609 ),
inference(avatar_component_clause,[],[f6353]) ).
fof(f20261,plain,
( spl71_1184
| ~ spl71_116
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6520,f3353,f1311,f20258]) ).
fof(f20258,plain,
( spl71_1184
<=> cons(sK22,sK20) = app(nil,cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1184])]) ).
fof(f1311,plain,
( spl71_116
<=> ! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_116])]) ).
fof(f3353,plain,
( spl71_289
<=> ssList(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_289])]) ).
fof(f6520,plain,
( cons(sK22,sK20) = app(nil,cons(sK22,sK20))
| ~ spl71_116
| ~ spl71_289 ),
inference(resolution,[],[f3354,f1312]) ).
fof(f1312,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl71_116 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f3354,plain,
( ssList(cons(sK22,sK20))
| ~ spl71_289 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f20256,plain,
( spl71_1183
| ~ spl71_115
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6519,f3353,f1307,f20253]) ).
fof(f20253,plain,
( spl71_1183
<=> cons(sK22,sK20) = app(cons(sK22,sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1183])]) ).
fof(f1307,plain,
( spl71_115
<=> ! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_115])]) ).
fof(f6519,plain,
( cons(sK22,sK20) = app(cons(sK22,sK20),nil)
| ~ spl71_115
| ~ spl71_289 ),
inference(resolution,[],[f3354,f1308]) ).
fof(f1308,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl71_115 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f20201,plain,
( ~ spl71_16
| ~ spl71_1
| spl71_1182
| ~ spl71_241
| ~ spl71_334 ),
inference(avatar_split_clause,[],[f4655,f3995,f2619,f20198,f646,f720]) ).
fof(f646,plain,
( spl71_1
<=> ssList(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1])]) ).
fof(f20198,plain,
( spl71_1182
<=> segmentP(sK20,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1182])]) ).
fof(f3995,plain,
( spl71_334
<=> ! [X0] :
( segmentP(app(sK20,X0),cons(sK22,nil))
| ~ ssList(app(sK20,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_334])]) ).
fof(f4655,plain,
( segmentP(sK20,cons(sK22,nil))
| ~ ssList(sK20)
| ~ ssList(nil)
| ~ spl71_241
| ~ spl71_334 ),
inference(superposition,[],[f3996,f2621]) ).
fof(f3996,plain,
( ! [X0] :
( segmentP(app(sK20,X0),cons(sK22,nil))
| ~ ssList(app(sK20,X0))
| ~ ssList(X0) )
| ~ spl71_334 ),
inference(avatar_component_clause,[],[f3995]) ).
fof(f20196,plain,
( spl71_1181
| ~ spl71_18
| ~ spl71_278 ),
inference(avatar_split_clause,[],[f4536,f3248,f730,f20193]) ).
fof(f20193,plain,
( spl71_1181
<=> cons(sK70,sK23) = app(cons(sK70,nil),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1181])]) ).
fof(f730,plain,
( spl71_18
<=> ssItem(sK70) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_18])]) ).
fof(f4536,plain,
( cons(sK70,sK23) = app(cons(sK70,nil),sK23)
| ~ spl71_18
| ~ spl71_278 ),
inference(resolution,[],[f3249,f732]) ).
fof(f732,plain,
( ssItem(sK70)
| ~ spl71_18 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f20191,plain,
( spl71_1180
| ~ spl71_17
| ~ spl71_278 ),
inference(avatar_split_clause,[],[f4535,f3248,f725,f20188]) ).
fof(f20188,plain,
( spl71_1180
<=> cons(sK69,sK23) = app(cons(sK69,nil),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1180])]) ).
fof(f725,plain,
( spl71_17
<=> ssItem(sK69) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_17])]) ).
fof(f4535,plain,
( cons(sK69,sK23) = app(cons(sK69,nil),sK23)
| ~ spl71_17
| ~ spl71_278 ),
inference(resolution,[],[f3249,f727]) ).
fof(f727,plain,
( ssItem(sK69)
| ~ spl71_17 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f20186,plain,
( spl71_1179
| ~ spl71_18
| ~ spl71_276 ),
inference(avatar_split_clause,[],[f4515,f3237,f730,f20183]) ).
fof(f20183,plain,
( spl71_1179
<=> cons(sK70,sK20) = app(cons(sK70,nil),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1179])]) ).
fof(f3237,plain,
( spl71_276
<=> ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK20) = app(cons(X0,nil),sK20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_276])]) ).
fof(f4515,plain,
( cons(sK70,sK20) = app(cons(sK70,nil),sK20)
| ~ spl71_18
| ~ spl71_276 ),
inference(resolution,[],[f3238,f732]) ).
fof(f3238,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK20) = app(cons(X0,nil),sK20) )
| ~ spl71_276 ),
inference(avatar_component_clause,[],[f3237]) ).
fof(f20181,plain,
( spl71_1178
| ~ spl71_17
| ~ spl71_276 ),
inference(avatar_split_clause,[],[f4514,f3237,f725,f20178]) ).
fof(f20178,plain,
( spl71_1178
<=> cons(sK69,sK20) = app(cons(sK69,nil),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1178])]) ).
fof(f4514,plain,
( cons(sK69,sK20) = app(cons(sK69,nil),sK20)
| ~ spl71_17
| ~ spl71_276 ),
inference(resolution,[],[f3238,f727]) ).
fof(f20176,plain,
( spl71_1177
| ~ spl71_4
| ~ spl71_276 ),
inference(avatar_split_clause,[],[f4496,f3237,f661,f20173]) ).
fof(f20173,plain,
( spl71_1177
<=> cons(sK22,sK20) = app(cons(sK22,nil),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1177])]) ).
fof(f4496,plain,
( cons(sK22,sK20) = app(cons(sK22,nil),sK20)
| ~ spl71_4
| ~ spl71_276 ),
inference(resolution,[],[f3238,f663]) ).
fof(f20171,plain,
( ~ spl71_292
| spl71_1170
| ~ spl71_6
| ~ spl71_19
| ~ spl71_323 ),
inference(avatar_split_clause,[],[f3923,f3917,f735,f671,f19884,f3448]) ).
fof(f19884,plain,
( spl71_1170
<=> sK20 = cons(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1170])]) ).
fof(f3917,plain,
( spl71_323
<=> ! [X0] :
( sK20 = X0
| sK20 != app(X0,sK23)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_323])]) ).
fof(f3923,plain,
( sK20 = cons(sK22,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl71_6
| ~ spl71_19
| ~ spl71_323 ),
inference(trivial_inequality_removal,[],[f3922]) ).
fof(f3922,plain,
( sK20 != sK20
| sK20 = cons(sK22,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl71_6
| ~ spl71_19
| ~ spl71_323 ),
inference(forward_demodulation,[],[f3920,f673]) ).
fof(f3920,plain,
( sK20 != sK21
| sK20 = cons(sK22,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl71_19
| ~ spl71_323 ),
inference(superposition,[],[f3918,f737]) ).
fof(f3918,plain,
( ! [X0] :
( sK20 != app(X0,sK23)
| sK20 = X0
| ~ ssList(X0) )
| ~ spl71_323 ),
inference(avatar_component_clause,[],[f3917]) ).
fof(f20170,plain,
( spl71_255
| ~ spl71_1176
| ~ spl71_4
| ~ spl71_254
| ~ spl71_608
| ~ spl71_1129 ),
inference(avatar_split_clause,[],[f20129,f19431,f6346,f2897,f661,f20167,f2901]) ).
fof(f20167,plain,
( spl71_1176
<=> sP2(sK23,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1176])]) ).
fof(f6346,plain,
( spl71_608
<=> ! [X0] :
( nil = X0
| ~ sP2(X0,hd(X0))
| ~ ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_608])]) ).
fof(f20129,plain,
( ~ ssItem(sK22)
| ~ sP2(sK23,sK22)
| nil = sK23
| ~ spl71_254
| ~ spl71_608
| ~ spl71_1129 ),
inference(forward_demodulation,[],[f20128,f19433]) ).
fof(f20128,plain,
( ~ sP2(sK23,sK22)
| nil = sK23
| ~ ssItem(sK26(sK23))
| ~ spl71_254
| ~ spl71_608
| ~ spl71_1129 ),
inference(forward_demodulation,[],[f6351,f19433]) ).
fof(f6351,plain,
( ~ sP2(sK23,sK26(sK23))
| nil = sK23
| ~ ssItem(sK26(sK23))
| ~ spl71_254
| ~ spl71_608 ),
inference(superposition,[],[f6347,f2899]) ).
fof(f6347,plain,
( ! [X0] :
( ~ sP2(X0,hd(X0))
| nil = X0
| ~ ssItem(hd(X0)) )
| ~ spl71_608 ),
inference(avatar_component_clause,[],[f6346]) ).
fof(f20119,plain,
( spl71_255
| ~ spl71_889
| ~ spl71_1004
| ~ spl71_1170 ),
inference(avatar_split_clause,[],[f19975,f19884,f14121,f11829,f2901]) ).
fof(f11829,plain,
( spl71_889
<=> sK23 = tl(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_889])]) ).
fof(f14121,plain,
( spl71_1004
<=> nil = tl(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1004])]) ).
fof(f19975,plain,
( nil = sK23
| ~ spl71_889
| ~ spl71_1004
| ~ spl71_1170 ),
inference(forward_demodulation,[],[f19909,f11831]) ).
fof(f11831,plain,
( sK23 = tl(sK20)
| ~ spl71_889 ),
inference(avatar_component_clause,[],[f11829]) ).
fof(f19909,plain,
( nil = tl(sK20)
| ~ spl71_1004
| ~ spl71_1170 ),
inference(superposition,[],[f14123,f19886]) ).
fof(f19886,plain,
( sK20 = cons(sK22,nil)
| ~ spl71_1170 ),
inference(avatar_component_clause,[],[f19884]) ).
fof(f14123,plain,
( nil = tl(cons(sK22,nil))
| ~ spl71_1004 ),
inference(avatar_component_clause,[],[f14121]) ).
fof(f20050,plain,
( ~ spl71_4
| ~ spl71_1129
| spl71_1174 ),
inference(avatar_split_clause,[],[f20049,f20041,f19431,f661]) ).
fof(f20041,plain,
( spl71_1174
<=> ssItem(sK26(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1174])]) ).
fof(f20049,plain,
( ~ ssItem(sK22)
| ~ spl71_1129
| spl71_1174 ),
inference(forward_demodulation,[],[f20043,f19433]) ).
fof(f20043,plain,
( ~ ssItem(sK26(sK23))
| spl71_1174 ),
inference(avatar_component_clause,[],[f20041]) ).
fof(f20048,plain,
( ~ spl71_5
| ~ spl71_1174
| ~ spl71_1175
| ~ spl71_147
| ~ spl71_404 ),
inference(avatar_split_clause,[],[f4478,f4437,f1549,f20045,f20041,f666]) ).
fof(f20045,plain,
( spl71_1175
<=> sK23 = sK27(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1175])]) ).
fof(f1549,plain,
( spl71_147
<=> ! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_147])]) ).
fof(f4437,plain,
( spl71_404
<=> sK23 = cons(sK26(sK23),sK27(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_404])]) ).
fof(f4478,plain,
( sK23 != sK27(sK23)
| ~ ssItem(sK26(sK23))
| ~ ssList(sK23)
| ~ spl71_147
| ~ spl71_404 ),
inference(inner_rewriting,[],[f4444]) ).
fof(f4444,plain,
( sK23 != sK27(sK23)
| ~ ssItem(sK26(sK23))
| ~ ssList(sK27(sK23))
| ~ spl71_147
| ~ spl71_404 ),
inference(superposition,[],[f1550,f4439]) ).
fof(f4439,plain,
( sK23 = cons(sK26(sK23),sK27(sK23))
| ~ spl71_404 ),
inference(avatar_component_clause,[],[f4437]) ).
fof(f1550,plain,
( ! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_147 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f20038,plain,
( ~ spl71_5
| ~ spl71_1172
| ~ spl71_1173
| ~ spl71_147
| ~ spl71_402 ),
inference(avatar_split_clause,[],[f4428,f4388,f1549,f20035,f20031,f666]) ).
fof(f20035,plain,
( spl71_1173
<=> sK23 = sK24(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1173])]) ).
fof(f4388,plain,
( spl71_402
<=> sK23 = cons(sK25(sK23),sK24(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_402])]) ).
fof(f4428,plain,
( sK23 != sK24(sK23)
| ~ ssItem(sK25(sK23))
| ~ ssList(sK23)
| ~ spl71_147
| ~ spl71_402 ),
inference(inner_rewriting,[],[f4394]) ).
fof(f4394,plain,
( sK23 != sK24(sK23)
| ~ ssItem(sK25(sK23))
| ~ ssList(sK24(sK23))
| ~ spl71_147
| ~ spl71_402 ),
inference(superposition,[],[f1550,f4390]) ).
fof(f4390,plain,
( sK23 = cons(sK25(sK23),sK24(sK23))
| ~ spl71_402 ),
inference(avatar_component_clause,[],[f4388]) ).
fof(f20028,plain,
( spl71_1171
| ~ spl71_116
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4307,f3448,f1311,f20025]) ).
fof(f4307,plain,
( cons(sK22,nil) = app(nil,cons(sK22,nil))
| ~ spl71_116
| ~ spl71_292 ),
inference(resolution,[],[f3449,f1312]) ).
fof(f3449,plain,
( ssList(cons(sK22,nil))
| ~ spl71_292 ),
inference(avatar_component_clause,[],[f3448]) ).
fof(f19887,plain,
( ~ spl71_292
| spl71_1170
| ~ spl71_20
| ~ spl71_329 ),
inference(avatar_split_clause,[],[f3962,f3957,f740,f19884,f3448]) ).
fof(f740,plain,
( spl71_20
<=> sK20 = app(sK23,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_20])]) ).
fof(f3957,plain,
( spl71_329
<=> ! [X0] :
( sK20 = X0
| sK20 != app(sK23,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_329])]) ).
fof(f3962,plain,
( sK20 = cons(sK22,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl71_20
| ~ spl71_329 ),
inference(trivial_inequality_removal,[],[f3960]) ).
fof(f3960,plain,
( sK20 != sK20
| sK20 = cons(sK22,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl71_20
| ~ spl71_329 ),
inference(superposition,[],[f3958,f742]) ).
fof(f742,plain,
( sK20 = app(sK23,cons(sK22,nil))
| ~ spl71_20 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f3958,plain,
( ! [X0] :
( sK20 != app(sK23,X0)
| sK20 = X0
| ~ ssList(X0) )
| ~ spl71_329 ),
inference(avatar_component_clause,[],[f3957]) ).
fof(f19882,plain,
( ~ spl71_1169
| spl71_1051
| ~ spl71_1165 ),
inference(avatar_split_clause,[],[f19725,f19721,f17197,f19879]) ).
fof(f19879,plain,
( spl71_1169
<=> sP6(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1169])]) ).
fof(f17197,plain,
( spl71_1051
<=> sP6(app(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1051])]) ).
fof(f19721,plain,
( spl71_1165
<=> cons(sK22,sK20) = app(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1165])]) ).
fof(f19725,plain,
( ~ sP6(cons(sK22,sK20))
| spl71_1051
| ~ spl71_1165 ),
inference(superposition,[],[f17199,f19723]) ).
fof(f19723,plain,
( cons(sK22,sK20) = app(sK20,sK20)
| ~ spl71_1165 ),
inference(avatar_component_clause,[],[f19721]) ).
fof(f17199,plain,
( ~ sP6(app(sK20,sK20))
| spl71_1051 ),
inference(avatar_component_clause,[],[f17197]) ).
fof(f19877,plain,
( ~ spl71_1090
| ~ spl71_835
| spl71_1168 ),
inference(avatar_split_clause,[],[f19876,f19816,f10956,f18197]) ).
fof(f18197,plain,
( spl71_1090
<=> sK20 = app(sK20,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1090])]) ).
fof(f19816,plain,
( spl71_1168
<=> cons(sK22,sK23) = app(cons(sK22,sK23),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1168])]) ).
fof(f19876,plain,
( sK20 != app(sK20,sK23)
| ~ spl71_835
| spl71_1168 ),
inference(forward_demodulation,[],[f19817,f10958]) ).
fof(f19817,plain,
( cons(sK22,sK23) != app(cons(sK22,sK23),sK23)
| spl71_1168 ),
inference(avatar_component_clause,[],[f19816]) ).
fof(f19875,plain,
( ~ spl71_5
| ~ spl71_1090
| ~ spl71_20
| ~ spl71_410 ),
inference(avatar_split_clause,[],[f4756,f4752,f740,f18197,f666]) ).
fof(f4756,plain,
( sK20 != app(sK20,sK23)
| ~ ssList(sK23)
| ~ spl71_20
| ~ spl71_410 ),
inference(duplicate_literal_removal,[],[f4755]) ).
fof(f4755,plain,
( sK20 != app(sK20,sK23)
| sK20 != app(sK20,sK23)
| ~ ssList(sK23)
| ~ spl71_20
| ~ spl71_410 ),
inference(superposition,[],[f4753,f742]) ).
fof(f19821,plain,
( spl71_1090
| ~ spl71_835
| ~ spl71_1168 ),
inference(avatar_split_clause,[],[f19820,f19816,f10956,f18197]) ).
fof(f19820,plain,
( sK20 = app(sK20,sK23)
| ~ spl71_835
| ~ spl71_1168 ),
inference(forward_demodulation,[],[f19818,f10958]) ).
fof(f19818,plain,
( cons(sK22,sK23) = app(cons(sK22,sK23),sK23)
| ~ spl71_1168 ),
inference(avatar_component_clause,[],[f19816]) ).
fof(f19819,plain,
( spl71_1168
| ~ spl71_4
| ~ spl71_282 ),
inference(avatar_split_clause,[],[f3296,f3268,f661,f19816]) ).
fof(f3268,plain,
( spl71_282
<=> ! [X0] :
( cons(X0,sK23) = app(cons(X0,sK23),sK23)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_282])]) ).
fof(f3296,plain,
( cons(sK22,sK23) = app(cons(sK22,sK23),sK23)
| ~ spl71_4
| ~ spl71_282 ),
inference(resolution,[],[f3269,f663]) ).
fof(f3269,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK23) = app(cons(X0,sK23),sK23) )
| ~ spl71_282 ),
inference(avatar_component_clause,[],[f3268]) ).
fof(f19814,plain,
( spl71_1167
| ~ spl71_18
| ~ spl71_281 ),
inference(avatar_split_clause,[],[f3291,f3264,f730,f19811]) ).
fof(f19811,plain,
( spl71_1167
<=> cons(sK70,sK20) = app(cons(sK70,sK23),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1167])]) ).
fof(f3264,plain,
( spl71_281
<=> ! [X0] :
( cons(X0,sK20) = app(cons(X0,sK23),sK20)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_281])]) ).
fof(f3291,plain,
( cons(sK70,sK20) = app(cons(sK70,sK23),sK20)
| ~ spl71_18
| ~ spl71_281 ),
inference(resolution,[],[f3265,f732]) ).
fof(f3265,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK20) = app(cons(X0,sK23),sK20) )
| ~ spl71_281 ),
inference(avatar_component_clause,[],[f3264]) ).
fof(f19809,plain,
( spl71_1166
| ~ spl71_17
| ~ spl71_281 ),
inference(avatar_split_clause,[],[f3290,f3264,f725,f19806]) ).
fof(f19806,plain,
( spl71_1166
<=> cons(sK69,sK20) = app(cons(sK69,sK23),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1166])]) ).
fof(f3290,plain,
( cons(sK69,sK20) = app(cons(sK69,sK23),sK20)
| ~ spl71_17
| ~ spl71_281 ),
inference(resolution,[],[f3265,f727]) ).
fof(f19724,plain,
( spl71_1165
| ~ spl71_835
| ~ spl71_1164 ),
inference(avatar_split_clause,[],[f19642,f19638,f10956,f19721]) ).
fof(f19638,plain,
( spl71_1164
<=> cons(sK22,sK20) = app(cons(sK22,sK23),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1164])]) ).
fof(f19642,plain,
( cons(sK22,sK20) = app(sK20,sK20)
| ~ spl71_835
| ~ spl71_1164 ),
inference(forward_demodulation,[],[f19640,f10958]) ).
fof(f19640,plain,
( cons(sK22,sK20) = app(cons(sK22,sK23),sK20)
| ~ spl71_1164 ),
inference(avatar_component_clause,[],[f19638]) ).
fof(f19643,plain,
( ~ spl71_1
| spl71_250
| ~ spl71_134
| spl71_1160 ),
inference(avatar_split_clause,[],[f19623,f19615,f1434,f2770,f646]) ).
fof(f19615,plain,
( spl71_1160
<=> ssItem(sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1160])]) ).
fof(f19623,plain,
( nil = sK20
| ~ ssList(sK20)
| ~ spl71_134
| spl71_1160 ),
inference(resolution,[],[f19617,f1435]) ).
fof(f19617,plain,
( ~ ssItem(sK25(sK20))
| spl71_1160 ),
inference(avatar_component_clause,[],[f19615]) ).
fof(f19641,plain,
( spl71_1164
| ~ spl71_4
| ~ spl71_281 ),
inference(avatar_split_clause,[],[f3272,f3264,f661,f19638]) ).
fof(f3272,plain,
( cons(sK22,sK20) = app(cons(sK22,sK23),sK20)
| ~ spl71_4
| ~ spl71_281 ),
inference(resolution,[],[f3265,f663]) ).
fof(f19635,plain,
( ~ spl71_4
| ~ spl71_964
| spl71_1162 ),
inference(avatar_split_clause,[],[f19634,f19625,f13791,f661]) ).
fof(f13791,plain,
( spl71_964
<=> sK22 = sK26(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_964])]) ).
fof(f19625,plain,
( spl71_1162
<=> ssItem(sK26(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1162])]) ).
fof(f19634,plain,
( ~ ssItem(sK22)
| ~ spl71_964
| spl71_1162 ),
inference(forward_demodulation,[],[f19627,f13793]) ).
fof(f13793,plain,
( sK22 = sK26(sK20)
| ~ spl71_964 ),
inference(avatar_component_clause,[],[f13791]) ).
fof(f19627,plain,
( ~ ssItem(sK26(sK20))
| spl71_1162 ),
inference(avatar_component_clause,[],[f19625]) ).
fof(f19632,plain,
( ~ spl71_1
| ~ spl71_1162
| ~ spl71_1163
| ~ spl71_147
| ~ spl71_275 ),
inference(avatar_split_clause,[],[f3235,f3196,f1549,f19629,f19625,f646]) ).
fof(f19629,plain,
( spl71_1163
<=> sK20 = sK27(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1163])]) ).
fof(f3196,plain,
( spl71_275
<=> sK20 = cons(sK26(sK20),sK27(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_275])]) ).
fof(f3235,plain,
( sK20 != sK27(sK20)
| ~ ssItem(sK26(sK20))
| ~ ssList(sK20)
| ~ spl71_147
| ~ spl71_275 ),
inference(inner_rewriting,[],[f3202]) ).
fof(f3202,plain,
( sK20 != sK27(sK20)
| ~ ssItem(sK26(sK20))
| ~ ssList(sK27(sK20))
| ~ spl71_147
| ~ spl71_275 ),
inference(superposition,[],[f1550,f3198]) ).
fof(f3198,plain,
( sK20 = cons(sK26(sK20),sK27(sK20))
| ~ spl71_275 ),
inference(avatar_component_clause,[],[f3196]) ).
fof(f19622,plain,
( ~ spl71_1
| ~ spl71_1160
| ~ spl71_1161
| ~ spl71_147
| ~ spl71_273 ),
inference(avatar_split_clause,[],[f3187,f3148,f1549,f19619,f19615,f646]) ).
fof(f19619,plain,
( spl71_1161
<=> sK20 = sK24(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1161])]) ).
fof(f3148,plain,
( spl71_273
<=> sK20 = cons(sK25(sK20),sK24(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_273])]) ).
fof(f3187,plain,
( sK20 != sK24(sK20)
| ~ ssItem(sK25(sK20))
| ~ ssList(sK20)
| ~ spl71_147
| ~ spl71_273 ),
inference(inner_rewriting,[],[f3154]) ).
fof(f3154,plain,
( sK20 != sK24(sK20)
| ~ ssItem(sK25(sK20))
| ~ ssList(sK24(sK20))
| ~ spl71_147
| ~ spl71_273 ),
inference(superposition,[],[f1550,f3150]) ).
fof(f3150,plain,
( sK20 = cons(sK25(sK20),sK24(sK20))
| ~ spl71_273 ),
inference(avatar_component_clause,[],[f3148]) ).
fof(f19613,plain,
( spl71_1159
| ~ spl71_76
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3046,f2983,f999,f19611]) ).
fof(f19611,plain,
( spl71_1159
<=> ! [X0] :
( sK23 = tl(cons(sK59(X0),sK23))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1159])]) ).
fof(f999,plain,
( spl71_76
<=> ! [X0] :
( sP16(X0)
| ssItem(sK59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_76])]) ).
fof(f2983,plain,
( spl71_260
<=> ! [X0] :
( ~ ssItem(X0)
| sK23 = tl(cons(X0,sK23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_260])]) ).
fof(f3046,plain,
( ! [X0] :
( sK23 = tl(cons(sK59(X0),sK23))
| sP16(X0) )
| ~ spl71_76
| ~ spl71_260 ),
inference(resolution,[],[f2984,f1000]) ).
fof(f1000,plain,
( ! [X0] :
( ssItem(sK59(X0))
| sP16(X0) )
| ~ spl71_76 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f2984,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK23 = tl(cons(X0,sK23)) )
| ~ spl71_260 ),
inference(avatar_component_clause,[],[f2983]) ).
fof(f19609,plain,
( spl71_1158
| ~ spl71_75
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3045,f2983,f995,f19607]) ).
fof(f19607,plain,
( spl71_1158
<=> ! [X0] :
( sK23 = tl(cons(sK58(X0),sK23))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1158])]) ).
fof(f995,plain,
( spl71_75
<=> ! [X0] :
( sP16(X0)
| ssItem(sK58(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_75])]) ).
fof(f3045,plain,
( ! [X0] :
( sK23 = tl(cons(sK58(X0),sK23))
| sP16(X0) )
| ~ spl71_75
| ~ spl71_260 ),
inference(resolution,[],[f2984,f996]) ).
fof(f996,plain,
( ! [X0] :
( ssItem(sK58(X0))
| sP16(X0) )
| ~ spl71_75 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f19605,plain,
( spl71_1157
| ~ spl71_70
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3044,f2983,f974,f19603]) ).
fof(f19603,plain,
( spl71_1157
<=> ! [X0] :
( sK23 = tl(cons(sK54(X0),sK23))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1157])]) ).
fof(f974,plain,
( spl71_70
<=> ! [X0] :
( sP14(X0)
| ssItem(sK54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_70])]) ).
fof(f3044,plain,
( ! [X0] :
( sK23 = tl(cons(sK54(X0),sK23))
| sP14(X0) )
| ~ spl71_70
| ~ spl71_260 ),
inference(resolution,[],[f2984,f975]) ).
fof(f975,plain,
( ! [X0] :
( ssItem(sK54(X0))
| sP14(X0) )
| ~ spl71_70 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f19601,plain,
( spl71_1156
| ~ spl71_69
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3043,f2983,f970,f19599]) ).
fof(f19599,plain,
( spl71_1156
<=> ! [X0] :
( sK23 = tl(cons(sK53(X0),sK23))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1156])]) ).
fof(f970,plain,
( spl71_69
<=> ! [X0] :
( sP14(X0)
| ssItem(sK53(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_69])]) ).
fof(f3043,plain,
( ! [X0] :
( sK23 = tl(cons(sK53(X0),sK23))
| sP14(X0) )
| ~ spl71_69
| ~ spl71_260 ),
inference(resolution,[],[f2984,f971]) ).
fof(f971,plain,
( ! [X0] :
( ssItem(sK53(X0))
| sP14(X0) )
| ~ spl71_69 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f19597,plain,
( spl71_1155
| spl71_247
| ~ spl71_559 ),
inference(avatar_split_clause,[],[f6129,f5943,f2649,f19594]) ).
fof(f19594,plain,
( spl71_1155
<=> sK31(sK20) = app(sK31(sK20),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1155])]) ).
fof(f5943,plain,
( spl71_559
<=> ! [X0] :
( sK31(X0) = app(sK31(X0),nil)
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_559])]) ).
fof(f6129,plain,
( sK31(sK20) = app(sK31(sK20),nil)
| spl71_247
| ~ spl71_559 ),
inference(resolution,[],[f5944,f2650]) ).
fof(f5944,plain,
( ! [X0] :
( sP4(X0)
| sK31(X0) = app(sK31(X0),nil) )
| ~ spl71_559 ),
inference(avatar_component_clause,[],[f5943]) ).
fof(f19592,plain,
( spl71_1154
| ~ spl71_65
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3042,f2983,f954,f19590]) ).
fof(f19590,plain,
( spl71_1154
<=> ! [X0] :
( sK23 = tl(cons(sK49(X0),sK23))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1154])]) ).
fof(f954,plain,
( spl71_65
<=> ! [X0] :
( sP12(X0)
| ssItem(sK49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_65])]) ).
fof(f3042,plain,
( ! [X0] :
( sK23 = tl(cons(sK49(X0),sK23))
| sP12(X0) )
| ~ spl71_65
| ~ spl71_260 ),
inference(resolution,[],[f2984,f955]) ).
fof(f955,plain,
( ! [X0] :
( ssItem(sK49(X0))
| sP12(X0) )
| ~ spl71_65 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f19588,plain,
( spl71_1153
| ~ spl71_64
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3041,f2983,f950,f19586]) ).
fof(f19586,plain,
( spl71_1153
<=> ! [X0] :
( sK23 = tl(cons(sK48(X0),sK23))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1153])]) ).
fof(f950,plain,
( spl71_64
<=> ! [X0] :
( sP12(X0)
| ssItem(sK48(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_64])]) ).
fof(f3041,plain,
( ! [X0] :
( sK23 = tl(cons(sK48(X0),sK23))
| sP12(X0) )
| ~ spl71_64
| ~ spl71_260 ),
inference(resolution,[],[f2984,f951]) ).
fof(f951,plain,
( ! [X0] :
( ssItem(sK48(X0))
| sP12(X0) )
| ~ spl71_64 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f19584,plain,
( spl71_1152
| ~ spl71_59
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3040,f2983,f929,f19582]) ).
fof(f19582,plain,
( spl71_1152
<=> ! [X0] :
( sK23 = tl(cons(sK44(X0),sK23))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1152])]) ).
fof(f929,plain,
( spl71_59
<=> ! [X0] :
( sP10(X0)
| ssItem(sK44(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_59])]) ).
fof(f3040,plain,
( ! [X0] :
( sK23 = tl(cons(sK44(X0),sK23))
| sP10(X0) )
| ~ spl71_59
| ~ spl71_260 ),
inference(resolution,[],[f2984,f930]) ).
fof(f930,plain,
( ! [X0] :
( ssItem(sK44(X0))
| sP10(X0) )
| ~ spl71_59 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f19580,plain,
( spl71_1151
| ~ spl71_58
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3039,f2983,f925,f19578]) ).
fof(f19578,plain,
( spl71_1151
<=> ! [X0] :
( sK23 = tl(cons(sK43(X0),sK23))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1151])]) ).
fof(f925,plain,
( spl71_58
<=> ! [X0] :
( sP10(X0)
| ssItem(sK43(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_58])]) ).
fof(f3039,plain,
( ! [X0] :
( sK23 = tl(cons(sK43(X0),sK23))
| sP10(X0) )
| ~ spl71_58
| ~ spl71_260 ),
inference(resolution,[],[f2984,f926]) ).
fof(f926,plain,
( ! [X0] :
( ssItem(sK43(X0))
| sP10(X0) )
| ~ spl71_58 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f19576,plain,
( spl71_1150
| ~ spl71_54
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3038,f2983,f909,f19574]) ).
fof(f19574,plain,
( spl71_1150
<=> ! [X0] :
( sK23 = tl(cons(sK39(X0),sK23))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1150])]) ).
fof(f909,plain,
( spl71_54
<=> ! [X0] :
( sP8(X0)
| ssItem(sK39(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_54])]) ).
fof(f3038,plain,
( ! [X0] :
( sK23 = tl(cons(sK39(X0),sK23))
| sP8(X0) )
| ~ spl71_54
| ~ spl71_260 ),
inference(resolution,[],[f2984,f910]) ).
fof(f910,plain,
( ! [X0] :
( ssItem(sK39(X0))
| sP8(X0) )
| ~ spl71_54 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f19572,plain,
( spl71_1149
| ~ spl71_53
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3037,f2983,f905,f19570]) ).
fof(f19570,plain,
( spl71_1149
<=> ! [X0] :
( sK23 = tl(cons(sK38(X0),sK23))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1149])]) ).
fof(f905,plain,
( spl71_53
<=> ! [X0] :
( sP8(X0)
| ssItem(sK38(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_53])]) ).
fof(f3037,plain,
( ! [X0] :
( sK23 = tl(cons(sK38(X0),sK23))
| sP8(X0) )
| ~ spl71_53
| ~ spl71_260 ),
inference(resolution,[],[f2984,f906]) ).
fof(f906,plain,
( ! [X0] :
( ssItem(sK38(X0))
| sP8(X0) )
| ~ spl71_53 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f19568,plain,
( spl71_1148
| ~ spl71_48
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3036,f2983,f884,f19566]) ).
fof(f19566,plain,
( spl71_1148
<=> ! [X0] :
( sK23 = tl(cons(sK34(X0),sK23))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1148])]) ).
fof(f884,plain,
( spl71_48
<=> ! [X0] :
( sP6(X0)
| ssItem(sK34(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_48])]) ).
fof(f3036,plain,
( ! [X0] :
( sK23 = tl(cons(sK34(X0),sK23))
| sP6(X0) )
| ~ spl71_48
| ~ spl71_260 ),
inference(resolution,[],[f2984,f885]) ).
fof(f885,plain,
( ! [X0] :
( ssItem(sK34(X0))
| sP6(X0) )
| ~ spl71_48 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f19564,plain,
( spl71_1147
| ~ spl71_47
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3035,f2983,f880,f19562]) ).
fof(f19562,plain,
( spl71_1147
<=> ! [X0] :
( sK23 = tl(cons(sK33(X0),sK23))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1147])]) ).
fof(f880,plain,
( spl71_47
<=> ! [X0] :
( sP6(X0)
| ssItem(sK33(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_47])]) ).
fof(f3035,plain,
( ! [X0] :
( sK23 = tl(cons(sK33(X0),sK23))
| sP6(X0) )
| ~ spl71_47
| ~ spl71_260 ),
inference(resolution,[],[f2984,f881]) ).
fof(f881,plain,
( ! [X0] :
( ssItem(sK33(X0))
| sP6(X0) )
| ~ spl71_47 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f19560,plain,
( spl71_1146
| ~ spl71_44
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3034,f2983,f868,f19558]) ).
fof(f19558,plain,
( spl71_1146
<=> ! [X0] :
( sK23 = tl(cons(sK30(X0),sK23))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1146])]) ).
fof(f868,plain,
( spl71_44
<=> ! [X0] :
( sP4(X0)
| ssItem(sK30(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_44])]) ).
fof(f3034,plain,
( ! [X0] :
( sK23 = tl(cons(sK30(X0),sK23))
| sP4(X0) )
| ~ spl71_44
| ~ spl71_260 ),
inference(resolution,[],[f2984,f869]) ).
fof(f869,plain,
( ! [X0] :
( ssItem(sK30(X0))
| sP4(X0) )
| ~ spl71_44 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f19556,plain,
( spl71_1145
| ~ spl71_43
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3033,f2983,f864,f19554]) ).
fof(f19554,plain,
( spl71_1145
<=> ! [X0] :
( sK23 = tl(cons(sK29(X0),sK23))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1145])]) ).
fof(f864,plain,
( spl71_43
<=> ! [X0] :
( sP4(X0)
| ssItem(sK29(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_43])]) ).
fof(f3033,plain,
( ! [X0] :
( sK23 = tl(cons(sK29(X0),sK23))
| sP4(X0) )
| ~ spl71_43
| ~ spl71_260 ),
inference(resolution,[],[f2984,f865]) ).
fof(f865,plain,
( ! [X0] :
( ssItem(sK29(X0))
| sP4(X0) )
| ~ spl71_43 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f19497,plain,
( spl71_1144
| ~ spl71_76
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3022,f2974,f999,f19495]) ).
fof(f19495,plain,
( spl71_1144
<=> ! [X0] :
( sK20 = tl(cons(sK59(X0),sK20))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1144])]) ).
fof(f2974,plain,
( spl71_258
<=> ! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_258])]) ).
fof(f3022,plain,
( ! [X0] :
( sK20 = tl(cons(sK59(X0),sK20))
| sP16(X0) )
| ~ spl71_76
| ~ spl71_258 ),
inference(resolution,[],[f2975,f1000]) ).
fof(f2975,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) )
| ~ spl71_258 ),
inference(avatar_component_clause,[],[f2974]) ).
fof(f19493,plain,
( spl71_1143
| ~ spl71_75
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3021,f2974,f995,f19491]) ).
fof(f19491,plain,
( spl71_1143
<=> ! [X0] :
( sK20 = tl(cons(sK58(X0),sK20))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1143])]) ).
fof(f3021,plain,
( ! [X0] :
( sK20 = tl(cons(sK58(X0),sK20))
| sP16(X0) )
| ~ spl71_75
| ~ spl71_258 ),
inference(resolution,[],[f2975,f996]) ).
fof(f19489,plain,
( spl71_1142
| ~ spl71_70
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3020,f2974,f974,f19487]) ).
fof(f19487,plain,
( spl71_1142
<=> ! [X0] :
( sK20 = tl(cons(sK54(X0),sK20))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1142])]) ).
fof(f3020,plain,
( ! [X0] :
( sK20 = tl(cons(sK54(X0),sK20))
| sP14(X0) )
| ~ spl71_70
| ~ spl71_258 ),
inference(resolution,[],[f2975,f975]) ).
fof(f19485,plain,
( spl71_1141
| ~ spl71_69
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3019,f2974,f970,f19483]) ).
fof(f19483,plain,
( spl71_1141
<=> ! [X0] :
( sK20 = tl(cons(sK53(X0),sK20))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1141])]) ).
fof(f3019,plain,
( ! [X0] :
( sK20 = tl(cons(sK53(X0),sK20))
| sP14(X0) )
| ~ spl71_69
| ~ spl71_258 ),
inference(resolution,[],[f2975,f971]) ).
fof(f19481,plain,
( spl71_1140
| ~ spl71_65
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3018,f2974,f954,f19479]) ).
fof(f19479,plain,
( spl71_1140
<=> ! [X0] :
( sK20 = tl(cons(sK49(X0),sK20))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1140])]) ).
fof(f3018,plain,
( ! [X0] :
( sK20 = tl(cons(sK49(X0),sK20))
| sP12(X0) )
| ~ spl71_65
| ~ spl71_258 ),
inference(resolution,[],[f2975,f955]) ).
fof(f19477,plain,
( spl71_1139
| ~ spl71_64
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3017,f2974,f950,f19475]) ).
fof(f19475,plain,
( spl71_1139
<=> ! [X0] :
( sK20 = tl(cons(sK48(X0),sK20))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1139])]) ).
fof(f3017,plain,
( ! [X0] :
( sK20 = tl(cons(sK48(X0),sK20))
| sP12(X0) )
| ~ spl71_64
| ~ spl71_258 ),
inference(resolution,[],[f2975,f951]) ).
fof(f19473,plain,
( spl71_1138
| ~ spl71_59
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3016,f2974,f929,f19471]) ).
fof(f19471,plain,
( spl71_1138
<=> ! [X0] :
( sK20 = tl(cons(sK44(X0),sK20))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1138])]) ).
fof(f3016,plain,
( ! [X0] :
( sK20 = tl(cons(sK44(X0),sK20))
| sP10(X0) )
| ~ spl71_59
| ~ spl71_258 ),
inference(resolution,[],[f2975,f930]) ).
fof(f19469,plain,
( spl71_1137
| ~ spl71_58
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3015,f2974,f925,f19467]) ).
fof(f19467,plain,
( spl71_1137
<=> ! [X0] :
( sK20 = tl(cons(sK43(X0),sK20))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1137])]) ).
fof(f3015,plain,
( ! [X0] :
( sK20 = tl(cons(sK43(X0),sK20))
| sP10(X0) )
| ~ spl71_58
| ~ spl71_258 ),
inference(resolution,[],[f2975,f926]) ).
fof(f19465,plain,
( spl71_1136
| ~ spl71_54
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3014,f2974,f909,f19463]) ).
fof(f19463,plain,
( spl71_1136
<=> ! [X0] :
( sK20 = tl(cons(sK39(X0),sK20))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1136])]) ).
fof(f3014,plain,
( ! [X0] :
( sK20 = tl(cons(sK39(X0),sK20))
| sP8(X0) )
| ~ spl71_54
| ~ spl71_258 ),
inference(resolution,[],[f2975,f910]) ).
fof(f19461,plain,
( spl71_1135
| ~ spl71_53
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3013,f2974,f905,f19459]) ).
fof(f19459,plain,
( spl71_1135
<=> ! [X0] :
( sK20 = tl(cons(sK38(X0),sK20))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1135])]) ).
fof(f3013,plain,
( ! [X0] :
( sK20 = tl(cons(sK38(X0),sK20))
| sP8(X0) )
| ~ spl71_53
| ~ spl71_258 ),
inference(resolution,[],[f2975,f906]) ).
fof(f19457,plain,
( spl71_1134
| ~ spl71_404
| ~ spl71_1129 ),
inference(avatar_split_clause,[],[f19435,f19431,f4437,f19454]) ).
fof(f19454,plain,
( spl71_1134
<=> sK23 = cons(sK22,sK27(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1134])]) ).
fof(f19435,plain,
( sK23 = cons(sK22,sK27(sK23))
| ~ spl71_404
| ~ spl71_1129 ),
inference(superposition,[],[f4439,f19433]) ).
fof(f19452,plain,
( spl71_1133
| ~ spl71_48
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3012,f2974,f884,f19450]) ).
fof(f19450,plain,
( spl71_1133
<=> ! [X0] :
( sK20 = tl(cons(sK34(X0),sK20))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1133])]) ).
fof(f3012,plain,
( ! [X0] :
( sK20 = tl(cons(sK34(X0),sK20))
| sP6(X0) )
| ~ spl71_48
| ~ spl71_258 ),
inference(resolution,[],[f2975,f885]) ).
fof(f19448,plain,
( spl71_1132
| ~ spl71_47
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3011,f2974,f880,f19446]) ).
fof(f19446,plain,
( spl71_1132
<=> ! [X0] :
( sK20 = tl(cons(sK33(X0),sK20))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1132])]) ).
fof(f3011,plain,
( ! [X0] :
( sK20 = tl(cons(sK33(X0),sK20))
| sP6(X0) )
| ~ spl71_47
| ~ spl71_258 ),
inference(resolution,[],[f2975,f881]) ).
fof(f19444,plain,
( spl71_1131
| ~ spl71_44
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3010,f2974,f868,f19442]) ).
fof(f19442,plain,
( spl71_1131
<=> ! [X0] :
( sK20 = tl(cons(sK30(X0),sK20))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1131])]) ).
fof(f3010,plain,
( ! [X0] :
( sK20 = tl(cons(sK30(X0),sK20))
| sP4(X0) )
| ~ spl71_44
| ~ spl71_258 ),
inference(resolution,[],[f2975,f869]) ).
fof(f19440,plain,
( spl71_1130
| ~ spl71_43
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3009,f2974,f864,f19438]) ).
fof(f19438,plain,
( spl71_1130
<=> ! [X0] :
( sK20 = tl(cons(sK29(X0),sK20))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1130])]) ).
fof(f3009,plain,
( ! [X0] :
( sK20 = tl(cons(sK29(X0),sK20))
| sP4(X0) )
| ~ spl71_43
| ~ spl71_258 ),
inference(resolution,[],[f2975,f865]) ).
fof(f19434,plain,
( spl71_1129
| ~ spl71_254
| ~ spl71_1127
| ~ spl71_1128 ),
inference(avatar_split_clause,[],[f19429,f19424,f19065,f2897,f19431]) ).
fof(f19065,plain,
( spl71_1127
<=> sK22 = hd(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1127])]) ).
fof(f19424,plain,
( spl71_1128
<=> hd(nil) = hd(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1128])]) ).
fof(f19429,plain,
( sK22 = sK26(sK23)
| ~ spl71_254
| ~ spl71_1127
| ~ spl71_1128 ),
inference(forward_demodulation,[],[f19428,f19067]) ).
fof(f19067,plain,
( sK22 = hd(nil)
| ~ spl71_1127 ),
inference(avatar_component_clause,[],[f19065]) ).
fof(f19428,plain,
( hd(nil) = sK26(sK23)
| ~ spl71_254
| ~ spl71_1128 ),
inference(forward_demodulation,[],[f19426,f2899]) ).
fof(f19426,plain,
( hd(nil) = hd(sK23)
| ~ spl71_1128 ),
inference(avatar_component_clause,[],[f19424]) ).
fof(f19427,plain,
( spl71_255
| spl71_1128
| ~ spl71_16
| ~ spl71_246
| ~ spl71_291 ),
inference(avatar_split_clause,[],[f4290,f3363,f2644,f720,f19424,f2901]) ).
fof(f2644,plain,
( spl71_246
<=> sK23 = app(nil,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_246])]) ).
fof(f3363,plain,
( spl71_291
<=> ! [X0] :
( sK23 = X0
| hd(X0) = hd(app(X0,sK23))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_291])]) ).
fof(f4290,plain,
( hd(nil) = hd(sK23)
| nil = sK23
| ~ spl71_16
| ~ spl71_246
| ~ spl71_291 ),
inference(forward_demodulation,[],[f3410,f2646]) ).
fof(f2646,plain,
( sK23 = app(nil,sK23)
| ~ spl71_246 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f3410,plain,
( hd(nil) = hd(app(nil,sK23))
| nil = sK23
| ~ spl71_16
| ~ spl71_291 ),
inference(resolution,[],[f3364,f722]) ).
fof(f3364,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK23))
| sK23 = X0 )
| ~ spl71_291 ),
inference(avatar_component_clause,[],[f3363]) ).
fof(f19068,plain,
( spl71_255
| spl71_1127
| ~ spl71_16
| ~ spl71_244
| ~ spl71_290
| ~ spl71_945 ),
inference(avatar_split_clause,[],[f13865,f13609,f3359,f2634,f720,f19065,f2901]) ).
fof(f13865,plain,
( sK22 = hd(nil)
| nil = sK23
| ~ spl71_16
| ~ spl71_244
| ~ spl71_290
| ~ spl71_945 ),
inference(forward_demodulation,[],[f4291,f13611]) ).
fof(f4291,plain,
( hd(nil) = hd(sK20)
| nil = sK23
| ~ spl71_16
| ~ spl71_244
| ~ spl71_290 ),
inference(forward_demodulation,[],[f3368,f2636]) ).
fof(f3368,plain,
( hd(nil) = hd(app(nil,sK20))
| nil = sK23
| ~ spl71_16
| ~ spl71_290 ),
inference(resolution,[],[f3360,f722]) ).
fof(f19063,plain,
( spl71_1126
| ~ spl71_5
| ~ spl71_676 ),
inference(avatar_split_clause,[],[f6725,f6710,f666,f19060]) ).
fof(f19060,plain,
( spl71_1126
<=> sK23 = app(nil,sK68(sK23,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1126])]) ).
fof(f6710,plain,
( spl71_676
<=> ! [X0] :
( app(nil,sK68(X0,nil)) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_676])]) ).
fof(f6725,plain,
( sK23 = app(nil,sK68(sK23,nil))
| ~ spl71_5
| ~ spl71_676 ),
inference(resolution,[],[f6711,f668]) ).
fof(f6711,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,sK68(X0,nil)) = X0 )
| ~ spl71_676 ),
inference(avatar_component_clause,[],[f6710]) ).
fof(f19058,plain,
( spl71_1125
| ~ spl71_1
| ~ spl71_676 ),
inference(avatar_split_clause,[],[f6723,f6710,f646,f19055]) ).
fof(f19055,plain,
( spl71_1125
<=> sK20 = app(nil,sK68(sK20,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1125])]) ).
fof(f6723,plain,
( sK20 = app(nil,sK68(sK20,nil))
| ~ spl71_1
| ~ spl71_676 ),
inference(resolution,[],[f6711,f648]) ).
fof(f648,plain,
( ssList(sK20)
| ~ spl71_1 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f19053,plain,
( spl71_1124
| ~ spl71_5
| ~ spl71_675 ),
inference(avatar_split_clause,[],[f6679,f6669,f666,f19050]) ).
fof(f19050,plain,
( spl71_1124
<=> sK23 = app(sK65(sK23,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1124])]) ).
fof(f6669,plain,
( spl71_675
<=> ! [X0] :
( app(sK65(X0,nil),nil) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_675])]) ).
fof(f6679,plain,
( sK23 = app(sK65(sK23,nil),nil)
| ~ spl71_5
| ~ spl71_675 ),
inference(resolution,[],[f6670,f668]) ).
fof(f6670,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK65(X0,nil),nil) = X0 )
| ~ spl71_675 ),
inference(avatar_component_clause,[],[f6669]) ).
fof(f19048,plain,
( spl71_1123
| ~ spl71_1
| ~ spl71_675 ),
inference(avatar_split_clause,[],[f6677,f6669,f646,f19045]) ).
fof(f19045,plain,
( spl71_1123
<=> sK20 = app(sK65(sK20,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1123])]) ).
fof(f6677,plain,
( sK20 = app(sK65(sK20,nil),nil)
| ~ spl71_1
| ~ spl71_675 ),
inference(resolution,[],[f6670,f648]) ).
fof(f19043,plain,
( spl71_1122
| ~ spl71_5
| ~ spl71_603 ),
inference(avatar_split_clause,[],[f6304,f6125,f666,f19040]) ).
fof(f19040,plain,
( spl71_1122
<=> sK23 = app(sK23,sK68(sK23,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1122])]) ).
fof(f6125,plain,
( spl71_603
<=> ! [X0] :
( app(X0,sK68(X0,X0)) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_603])]) ).
fof(f6304,plain,
( sK23 = app(sK23,sK68(sK23,sK23))
| ~ spl71_5
| ~ spl71_603 ),
inference(resolution,[],[f6126,f668]) ).
fof(f6126,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sK68(X0,X0)) = X0 )
| ~ spl71_603 ),
inference(avatar_component_clause,[],[f6125]) ).
fof(f19038,plain,
( spl71_1121
| ~ spl71_1
| ~ spl71_603 ),
inference(avatar_split_clause,[],[f6302,f6125,f646,f19035]) ).
fof(f19035,plain,
( spl71_1121
<=> sK20 = app(sK20,sK68(sK20,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1121])]) ).
fof(f6302,plain,
( sK20 = app(sK20,sK68(sK20,sK20))
| ~ spl71_1
| ~ spl71_603 ),
inference(resolution,[],[f6126,f648]) ).
fof(f18950,plain,
( spl71_1120
| ~ spl71_223
| ~ spl71_240 ),
inference(avatar_split_clause,[],[f2610,f2601,f2472,f18948]) ).
fof(f18948,plain,
( spl71_1120
<=> ! [X4,X0,X3,X2,X1] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK51(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK52(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1120])]) ).
fof(f2472,plain,
( spl71_223
<=> ! [X0] :
( sP12(X0)
| app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_223])]) ).
fof(f2601,plain,
( spl71_240
<=> ! [X10,X9,X7,X6,X8] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_240])]) ).
fof(f2610,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK51(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK52(app(app(X4,cons(X0,X3)),cons(X1,X2))))) )
| ~ spl71_223
| ~ spl71_240 ),
inference(resolution,[],[f2602,f2473]) ).
fof(f2473,plain,
( ! [X0] :
( sP12(X0)
| app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0 )
| ~ spl71_223 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f2602,plain,
( ! [X10,X8,X6,X9,X7] :
( ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ leq(X7,X6) )
| ~ spl71_240 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f18946,plain,
( spl71_1119
| ~ spl71_222
| ~ spl71_239 ),
inference(avatar_split_clause,[],[f2606,f2597,f2466,f18944]) ).
fof(f18944,plain,
( spl71_1119
<=> ! [X4,X0,X3,X2,X1] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1119])]) ).
fof(f2466,plain,
( spl71_222
<=> ! [X0] :
( sP10(X0)
| app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_222])]) ).
fof(f2597,plain,
( spl71_239
<=> ! [X10,X9,X7,X6,X8] :
( lt(X7,X6)
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_239])]) ).
fof(f2606,plain,
( ! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))))) )
| ~ spl71_222
| ~ spl71_239 ),
inference(resolution,[],[f2598,f2467]) ).
fof(f2467,plain,
( ! [X0] :
( sP10(X0)
| app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0 )
| ~ spl71_222 ),
inference(avatar_component_clause,[],[f2466]) ).
fof(f2598,plain,
( ! [X10,X8,X6,X9,X7] :
( ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X7,X6) )
| ~ spl71_239 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f18942,plain,
( spl71_1118
| ~ spl71_221
| ~ spl71_238 ),
inference(avatar_split_clause,[],[f2604,f2593,f2462,f18940]) ).
fof(f18940,plain,
( spl71_1118
<=> ! [X4,X0,X3,X2,X1] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1118])]) ).
fof(f2462,plain,
( spl71_221
<=> ! [X0] :
( sP8(X0)
| app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_221])]) ).
fof(f2593,plain,
( spl71_238
<=> ! [X10,X9,X7,X6,X8] :
( leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_238])]) ).
fof(f2604,plain,
( ! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK38(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))))) )
| ~ spl71_221
| ~ spl71_238 ),
inference(resolution,[],[f2594,f2463]) ).
fof(f2463,plain,
( ! [X0] :
( sP8(X0)
| app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0 )
| ~ spl71_221 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2594,plain,
( ! [X10,X8,X6,X9,X7] :
( ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| leq(X7,X6) )
| ~ spl71_238 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f18862,plain,
( spl71_1117
| ~ spl71_225
| ~ spl71_237 ),
inference(avatar_split_clause,[],[f2590,f2583,f2480,f18860]) ).
fof(f18860,plain,
( spl71_1117
<=> ! [X4,X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK61(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK62(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1117])]) ).
fof(f2480,plain,
( spl71_225
<=> ! [X0] :
( sP16(X0)
| app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_225])]) ).
fof(f2583,plain,
( spl71_237
<=> ! [X10,X9,X7,X6,X8] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_237])]) ).
fof(f2590,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK61(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK62(app(app(X2,cons(X4,X1)),cons(X3,X0))))) )
| ~ spl71_225
| ~ spl71_237 ),
inference(resolution,[],[f2584,f2481]) ).
fof(f2481,plain,
( ! [X0] :
( sP16(X0)
| app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0 )
| ~ spl71_225 ),
inference(avatar_component_clause,[],[f2480]) ).
fof(f2584,plain,
( ! [X10,X8,X6,X9,X7] :
( ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7) )
| ~ spl71_237 ),
inference(avatar_component_clause,[],[f2583]) ).
fof(f18858,plain,
( spl71_1116
| ~ spl71_5
| ~ spl71_602 ),
inference(avatar_split_clause,[],[f6267,f6121,f666,f18855]) ).
fof(f18855,plain,
( spl71_1116
<=> sK23 = app(sK65(sK23,sK23),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1116])]) ).
fof(f6121,plain,
( spl71_602
<=> ! [X0] :
( app(sK65(X0,X0),X0) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_602])]) ).
fof(f6267,plain,
( sK23 = app(sK65(sK23,sK23),sK23)
| ~ spl71_5
| ~ spl71_602 ),
inference(resolution,[],[f6122,f668]) ).
fof(f6122,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK65(X0,X0),X0) = X0 )
| ~ spl71_602 ),
inference(avatar_component_clause,[],[f6121]) ).
fof(f18853,plain,
( spl71_1115
| ~ spl71_224
| ~ spl71_236 ),
inference(avatar_split_clause,[],[f2588,f2579,f2476,f18851]) ).
fof(f18851,plain,
( spl71_1115
<=> ! [X4,X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1115])]) ).
fof(f2476,plain,
( spl71_224
<=> ! [X0] :
( sP14(X0)
| app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_224])]) ).
fof(f2579,plain,
( spl71_236
<=> ! [X10,X9,X7,X6,X8] :
( leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_236])]) ).
fof(f2588,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK53(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))))) )
| ~ spl71_224
| ~ spl71_236 ),
inference(resolution,[],[f2580,f2477]) ).
fof(f2477,plain,
( ! [X0] :
( sP14(X0)
| app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0 )
| ~ spl71_224 ),
inference(avatar_component_clause,[],[f2476]) ).
fof(f2580,plain,
( ! [X10,X8,X6,X9,X7] :
( ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| leq(X6,X7) )
| ~ spl71_236 ),
inference(avatar_component_clause,[],[f2579]) ).
fof(f18811,plain,
( spl71_1114
| ~ spl71_220
| ~ spl71_231 ),
inference(avatar_split_clause,[],[f2543,f2504,f2458,f18809]) ).
fof(f18809,plain,
( spl71_1114
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK37(app(app(X1,cons(X2,X0)),cons(X2,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1114])]) ).
fof(f2458,plain,
( spl71_220
<=> ! [X0] :
( sP6(X0)
| app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_220])]) ).
fof(f2504,plain,
( spl71_231
<=> ! [X10,X7,X9,X8] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_231])]) ).
fof(f2543,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK37(app(app(X1,cons(X2,X0)),cons(X2,X3))))) )
| ~ spl71_220
| ~ spl71_231 ),
inference(resolution,[],[f2505,f2459]) ).
fof(f2459,plain,
( ! [X0] :
( sP6(X0)
| app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0 )
| ~ spl71_220 ),
inference(avatar_component_clause,[],[f2458]) ).
fof(f2505,plain,
( ! [X10,X8,X9,X7] :
( ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10) )
| ~ spl71_231 ),
inference(avatar_component_clause,[],[f2504]) ).
fof(f18769,plain,
( spl71_1113
| ~ spl71_206
| ~ spl71_232 ),
inference(avatar_split_clause,[],[f2558,f2547,f2237,f18767]) ).
fof(f18767,plain,
( spl71_1113
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| app(X1,cons(X3,cons(X2,X0))) = app(sK31(app(X1,cons(X3,cons(X2,X0)))),cons(sK29(app(X1,cons(X3,cons(X2,X0)))),cons(sK30(app(X1,cons(X3,cons(X2,X0)))),sK32(app(X1,cons(X3,cons(X2,X0))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1113])]) ).
fof(f2237,plain,
( spl71_206
<=> ! [X0] :
( sP4(X0)
| app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_206])]) ).
fof(f2547,plain,
( spl71_232
<=> ! [X5,X7,X6,X8] :
( X5 = X6
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(app(X7,cons(X5,cons(X6,X8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_232])]) ).
fof(f2558,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| app(X1,cons(X3,cons(X2,X0))) = app(sK31(app(X1,cons(X3,cons(X2,X0)))),cons(sK29(app(X1,cons(X3,cons(X2,X0)))),cons(sK30(app(X1,cons(X3,cons(X2,X0)))),sK32(app(X1,cons(X3,cons(X2,X0))))))) )
| ~ spl71_206
| ~ spl71_232 ),
inference(resolution,[],[f2548,f2238]) ).
fof(f2238,plain,
( ! [X0] :
( sP4(X0)
| app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0 )
| ~ spl71_206 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f2548,plain,
( ! [X8,X6,X7,X5] :
( ~ sP4(app(X7,cons(X5,cons(X6,X8))))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| X5 = X6 )
| ~ spl71_232 ),
inference(avatar_component_clause,[],[f2547]) ).
fof(f18744,plain,
( spl71_1112
| ~ spl71_227
| ~ spl71_230 ),
inference(avatar_split_clause,[],[f2542,f2500,f2488,f18742]) ).
fof(f18742,plain,
( spl71_1112
<=> ! [X0,X3,X2,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = app(app(sK66(app(app(X3,X0),X2),X1),X1),sK67(app(app(X3,X0),X2),X1))
| ~ ssList(app(app(X3,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1112])]) ).
fof(f2488,plain,
( spl71_227
<=> ! [X0,X1] :
( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_227])]) ).
fof(f2500,plain,
( spl71_230
<=> ! [X0,X3,X2,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_230])]) ).
fof(f2542,plain,
( ! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = app(app(sK66(app(app(X3,X0),X2),X1),X1),sK67(app(app(X3,X0),X2),X1))
| ~ ssList(app(app(X3,X0),X2)) )
| ~ spl71_227
| ~ spl71_230 ),
inference(duplicate_literal_removal,[],[f2535]) ).
fof(f2535,plain,
( ! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = app(app(sK66(app(app(X3,X0),X2),X1),X1),sK67(app(app(X3,X0),X2),X1))
| ~ ssList(X1)
| ~ ssList(app(app(X3,X0),X2)) )
| ~ spl71_227
| ~ spl71_230 ),
inference(resolution,[],[f2501,f2489]) ).
fof(f2489,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_227 ),
inference(avatar_component_clause,[],[f2488]) ).
fof(f2501,plain,
( ! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_230 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f18712,plain,
( spl71_1111
| ~ spl71_227
| ~ spl71_234 ),
inference(avatar_split_clause,[],[f2571,f2555,f2488,f18710]) ).
fof(f18710,plain,
( spl71_1111
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = app(app(sK66(app(app(X1,X2),X0),X2),X2),sK67(app(app(X1,X2),X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1111])]) ).
fof(f2571,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = app(app(sK66(app(app(X1,X2),X0),X2),X2),sK67(app(app(X1,X2),X0),X2)) )
| ~ spl71_227
| ~ spl71_234 ),
inference(duplicate_literal_removal,[],[f2564]) ).
fof(f2564,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = app(app(sK66(app(app(X1,X2),X0),X2),X2),sK67(app(app(X1,X2),X0),X2))
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0)) )
| ~ spl71_227
| ~ spl71_234 ),
inference(resolution,[],[f2556,f2489]) ).
fof(f18708,plain,
( spl71_1110
| ~ spl71_1
| ~ spl71_602 ),
inference(avatar_split_clause,[],[f6265,f6121,f646,f18705]) ).
fof(f18705,plain,
( spl71_1110
<=> sK20 = app(sK65(sK20,sK20),sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1110])]) ).
fof(f6265,plain,
( sK20 = app(sK65(sK20,sK20),sK20)
| ~ spl71_1
| ~ spl71_602 ),
inference(resolution,[],[f6122,f648]) ).
fof(f18703,plain,
( spl71_1109
| ~ spl71_226
| ~ spl71_233 ),
inference(avatar_split_clause,[],[f2562,f2551,f2484,f18701]) ).
fof(f18701,plain,
( spl71_1109
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0)))
| app(X1,cons(X2,X0)) = app(sK63(app(X1,cons(X2,X0)),X2),cons(X2,sK64(app(X1,cons(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1109])]) ).
fof(f2484,plain,
( spl71_226
<=> ! [X0,X1] :
( app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_226])]) ).
fof(f2551,plain,
( spl71_233
<=> ! [X2,X1,X3] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_233])]) ).
fof(f2562,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0)))
| app(X1,cons(X2,X0)) = app(sK63(app(X1,cons(X2,X0)),X2),cons(X2,sK64(app(X1,cons(X2,X0)),X2))) )
| ~ spl71_226
| ~ spl71_233 ),
inference(duplicate_literal_removal,[],[f2560]) ).
fof(f2560,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0)))
| app(X1,cons(X2,X0)) = app(sK63(app(X1,cons(X2,X0)),X2),cons(X2,sK64(app(X1,cons(X2,X0)),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0))) )
| ~ spl71_226
| ~ spl71_233 ),
inference(resolution,[],[f2552,f2485]) ).
fof(f2485,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_226 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f2552,plain,
( ! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) )
| ~ spl71_233 ),
inference(avatar_component_clause,[],[f2551]) ).
fof(f18685,plain,
( spl71_1108
| ~ spl71_198
| ~ spl71_213 ),
inference(avatar_split_clause,[],[f2349,f2298,f2140,f18683]) ).
fof(f18683,plain,
( spl71_1108
<=> ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK68(cons(X2,X0),cons(X2,X1)))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1108])]) ).
fof(f2140,plain,
( spl71_198
<=> ! [X0,X1] :
( app(X1,sK68(X0,X1)) = X0
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_198])]) ).
fof(f2298,plain,
( spl71_213
<=> ! [X2,X1,X3] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_213])]) ).
fof(f2349,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK68(cons(X2,X0),cons(X2,X1)))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0)) )
| ~ spl71_198
| ~ spl71_213 ),
inference(resolution,[],[f2299,f2141]) ).
fof(f2141,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK68(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_198 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f2299,plain,
( ! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl71_213 ),
inference(avatar_component_clause,[],[f2298]) ).
fof(f18625,plain,
( spl71_1107
| ~ spl71_189
| ~ spl71_230 ),
inference(avatar_split_clause,[],[f2540,f2500,f2033,f18623]) ).
fof(f18623,plain,
( spl71_1107
<=> ! [X0,X3,X2,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = X1
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1107])]) ).
fof(f2033,plain,
( spl71_189
<=> ! [X0,X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_189])]) ).
fof(f2540,plain,
( ! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = X1
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2)) )
| ~ spl71_189
| ~ spl71_230 ),
inference(duplicate_literal_removal,[],[f2537]) ).
fof(f2537,plain,
( ! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = X1
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X1) )
| ~ spl71_189
| ~ spl71_230 ),
inference(resolution,[],[f2501,f2034]) ).
fof(f2034,plain,
( ! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_189 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f18621,plain,
( spl71_1106
| ~ spl71_190
| ~ spl71_213 ),
inference(avatar_split_clause,[],[f2350,f2298,f2037,f18619]) ).
fof(f18619,plain,
( spl71_1106
<=> ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0))
| ~ ssList(cons(X2,X0))
| ~ ssList(cons(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1106])]) ).
fof(f2037,plain,
( spl71_190
<=> ! [X0,X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_190])]) ).
fof(f2350,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0))
| ~ ssList(cons(X2,X0))
| ~ ssList(cons(X2,X1)) )
| ~ spl71_190
| ~ spl71_213 ),
inference(resolution,[],[f2299,f2038]) ).
fof(f2038,plain,
( ! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_190 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f18536,plain,
( spl71_1105
| ~ spl71_193
| ~ spl71_226 ),
inference(avatar_split_clause,[],[f2523,f2484,f2118,f18534]) ).
fof(f18534,plain,
( spl71_1105
<=> ! [X2,X0,X1] :
( cons(X0,X1) = app(sK63(cons(X0,X1),X2),cons(X2,sK64(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(cons(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1105])]) ).
fof(f2118,plain,
( spl71_193
<=> ! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_193])]) ).
fof(f2523,plain,
( ! [X2,X0,X1] :
( cons(X0,X1) = app(sK63(cons(X0,X1),X2),cons(X2,sK64(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(cons(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl71_193
| ~ spl71_226 ),
inference(duplicate_literal_removal,[],[f2518]) ).
fof(f2518,plain,
( ! [X2,X0,X1] :
( cons(X0,X1) = app(sK63(cons(X0,X1),X2),cons(X2,sK64(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(cons(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2) )
| ~ spl71_193
| ~ spl71_226 ),
inference(resolution,[],[f2485,f2119]) ).
fof(f2119,plain,
( ! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_193 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f18532,plain,
( spl71_1104
| ~ spl71_195
| ~ spl71_226 ),
inference(avatar_split_clause,[],[f2522,f2484,f2126,f18530]) ).
fof(f18530,plain,
( spl71_1104
<=> ! [X2,X0,X1] :
( app(X0,X1) = app(sK63(app(X0,X1),X2),cons(X2,sK64(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1104])]) ).
fof(f2522,plain,
( ! [X2,X0,X1] :
( app(X0,X1) = app(sK63(app(X0,X1),X2),cons(X2,sK64(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_195
| ~ spl71_226 ),
inference(duplicate_literal_removal,[],[f2519]) ).
fof(f2519,plain,
( ! [X2,X0,X1] :
( app(X0,X1) = app(sK63(app(X0,X1),X2),cons(X2,sK64(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) )
| ~ spl71_195
| ~ spl71_226 ),
inference(resolution,[],[f2485,f2127]) ).
fof(f18528,plain,
( spl71_1103
| ~ spl71_194
| ~ spl71_226 ),
inference(avatar_split_clause,[],[f2521,f2484,f2122,f18526]) ).
fof(f18526,plain,
( spl71_1103
<=> ! [X2,X0,X1] :
( app(X0,X1) = app(sK63(app(X0,X1),X2),cons(X2,sK64(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1103])]) ).
fof(f2122,plain,
( spl71_194
<=> ! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_194])]) ).
fof(f2521,plain,
( ! [X2,X0,X1] :
( app(X0,X1) = app(sK63(app(X0,X1),X2),cons(X2,sK64(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_194
| ~ spl71_226 ),
inference(duplicate_literal_removal,[],[f2520]) ).
fof(f2520,plain,
( ! [X2,X0,X1] :
( app(X0,X1) = app(sK63(app(X0,X1),X2),cons(X2,sK64(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) )
| ~ spl71_194
| ~ spl71_226 ),
inference(resolution,[],[f2485,f2123]) ).
fof(f2123,plain,
( ! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl71_194 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f18440,plain,
( spl71_1102
| ~ spl71_119
| ~ spl71_231 ),
inference(avatar_split_clause,[],[f2544,f2504,f1323,f18438]) ).
fof(f18438,plain,
( spl71_1102
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1102])]) ).
fof(f1323,plain,
( spl71_119
<=> ! [X0] :
( sP6(X0)
| sK33(X0) = sK34(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_119])]) ).
fof(f2544,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK33(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) )
| ~ spl71_119
| ~ spl71_231 ),
inference(resolution,[],[f2505,f1324]) ).
fof(f1324,plain,
( ! [X0] :
( sP6(X0)
| sK33(X0) = sK34(X0) )
| ~ spl71_119 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f18436,plain,
( spl71_1101
| ~ spl71_207
| ~ spl71_230 ),
inference(avatar_split_clause,[],[f2541,f2500,f2241,f18434]) ).
fof(f18434,plain,
( spl71_1101
<=> ! [X4,X0,X3,X2,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X4,X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1101])]) ).
fof(f2241,plain,
( spl71_207
<=> ! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_207])]) ).
fof(f2541,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X4,X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X4) )
| ~ spl71_207
| ~ spl71_230 ),
inference(duplicate_literal_removal,[],[f2536]) ).
fof(f2536,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X4,X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(X1)
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X4) )
| ~ spl71_207
| ~ spl71_230 ),
inference(resolution,[],[f2501,f2242]) ).
fof(f2242,plain,
( ! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_207 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f18432,plain,
( spl71_1100
| ~ spl71_209
| ~ spl71_213 ),
inference(avatar_split_clause,[],[f2348,f2298,f2249,f18430]) ).
fof(f18430,plain,
( spl71_1100
<=> ! [X0,X3,X2,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1100])]) ).
fof(f2249,plain,
( spl71_209
<=> ! [X2,X0,X1] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_209])]) ).
fof(f2348,plain,
( ! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| ~ ssList(X3) )
| ~ spl71_209
| ~ spl71_213 ),
inference(resolution,[],[f2299,f2250]) ).
fof(f2250,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_209 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f18407,plain,
( ~ spl71_1
| ~ spl71_16
| spl71_1099
| ~ spl71_241
| ~ spl71_411 ),
inference(avatar_split_clause,[],[f4764,f4758,f2619,f18404,f720,f646]) ).
fof(f18404,plain,
( spl71_1099
<=> segmentP(sK20,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1099])]) ).
fof(f4758,plain,
( spl71_411
<=> ! [X0] :
( ~ ssList(app(sK20,X0))
| ~ ssList(X0)
| segmentP(app(sK20,X0),sK23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_411])]) ).
fof(f4764,plain,
( segmentP(sK20,sK23)
| ~ ssList(nil)
| ~ ssList(sK20)
| ~ spl71_241
| ~ spl71_411 ),
inference(superposition,[],[f4759,f2621]) ).
fof(f4759,plain,
( ! [X0] :
( segmentP(app(sK20,X0),sK23)
| ~ ssList(X0)
| ~ ssList(app(sK20,X0)) )
| ~ spl71_411 ),
inference(avatar_component_clause,[],[f4758]) ).
fof(f18232,plain,
( spl71_1098
| ~ spl71_189
| ~ spl71_234 ),
inference(avatar_split_clause,[],[f2569,f2555,f2033,f18230]) ).
fof(f18230,plain,
( spl71_1098
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = X2
| ~ segmentP(X2,app(app(X1,X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1098])]) ).
fof(f2569,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = X2
| ~ segmentP(X2,app(app(X1,X2),X0)) )
| ~ spl71_189
| ~ spl71_234 ),
inference(duplicate_literal_removal,[],[f2566]) ).
fof(f2566,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = X2
| ~ segmentP(X2,app(app(X1,X2),X0))
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2) )
| ~ spl71_189
| ~ spl71_234 ),
inference(resolution,[],[f2556,f2034]) ).
fof(f18228,plain,
( spl71_1097
| ~ spl71_177
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2448,f2366,f1820,f18226]) ).
fof(f18226,plain,
( spl71_1097
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),sK68(X2,X3)) = app(X0,app(X1,sK68(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1097])]) ).
fof(f1820,plain,
( spl71_177
<=> ! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_177])]) ).
fof(f2366,plain,
( spl71_217
<=> ! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_217])]) ).
fof(f2448,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),sK68(X2,X3)) = app(X0,app(X1,sK68(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl71_177
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1821]) ).
fof(f1821,plain,
( ! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_177 ),
inference(avatar_component_clause,[],[f1820]) ).
fof(f2367,plain,
( ! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_217 ),
inference(avatar_component_clause,[],[f2366]) ).
fof(f18224,plain,
( spl71_1096
| ~ spl71_176
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2447,f2366,f1816,f18222]) ).
fof(f18222,plain,
( spl71_1096
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),sK67(X2,X3)) = app(X0,app(X1,sK67(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1096])]) ).
fof(f1816,plain,
( spl71_176
<=> ! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_176])]) ).
fof(f2447,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),sK67(X2,X3)) = app(X0,app(X1,sK67(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl71_176
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1817]) ).
fof(f1817,plain,
( ! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_176 ),
inference(avatar_component_clause,[],[f1816]) ).
fof(f18220,plain,
( spl71_1095
| ~ spl71_175
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2446,f2366,f1812,f18218]) ).
fof(f18218,plain,
( spl71_1095
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1095])]) ).
fof(f1812,plain,
( spl71_175
<=> ! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_175])]) ).
fof(f2446,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl71_175
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1813]) ).
fof(f1813,plain,
( ! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_175 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f18216,plain,
( spl71_1094
| ~ spl71_174
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2445,f2366,f1808,f18214]) ).
fof(f18214,plain,
( spl71_1094
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1094])]) ).
fof(f1808,plain,
( spl71_174
<=> ! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_174])]) ).
fof(f2445,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl71_174
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1809]) ).
fof(f1809,plain,
( ! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_174 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f18212,plain,
( spl71_1093
| ~ spl71_173
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2444,f2366,f1804,f18210]) ).
fof(f18210,plain,
( spl71_1093
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1093])]) ).
fof(f1804,plain,
( spl71_173
<=> ! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_173])]) ).
fof(f2444,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) )
| ~ spl71_173
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1805]) ).
fof(f1805,plain,
( ! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_173 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f18208,plain,
( spl71_1092
| ~ spl71_172
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2443,f2366,f1800,f18206]) ).
fof(f18206,plain,
( spl71_1092
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),sK63(X2,X3)) = app(X0,app(X1,sK63(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1092])]) ).
fof(f1800,plain,
( spl71_172
<=> ! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_172])]) ).
fof(f2443,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),sK63(X2,X3)) = app(X0,app(X1,sK63(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) )
| ~ spl71_172
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1801]) ).
fof(f1801,plain,
( ! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_172 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f18204,plain,
( spl71_1091
| ~ spl71_177
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2413,f2360,f1820,f18202]) ).
fof(f18202,plain,
( spl71_1091
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK68(X1,X2),X3)) = app(cons(X0,sK68(X1,X2)),X3)
| ~ ssList(X3)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1091])]) ).
fof(f2360,plain,
( spl71_216
<=> ! [X2,X0,X1] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_216])]) ).
fof(f2413,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK68(X1,X2),X3)) = app(cons(X0,sK68(X1,X2)),X3)
| ~ ssList(X3)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_177
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1821]) ).
fof(f2361,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssList(X0) )
| ~ spl71_216 ),
inference(avatar_component_clause,[],[f2360]) ).
fof(f18200,plain,
( ~ spl71_16
| ~ spl71_1090
| ~ spl71_241
| ~ spl71_244
| ~ spl71_339 ),
inference(avatar_split_clause,[],[f4276,f4033,f2634,f2619,f18197,f720]) ).
fof(f4033,plain,
( spl71_339
<=> ! [X0] :
( sK20 != app(app(X0,sK20),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_339])]) ).
fof(f4276,plain,
( sK20 != app(sK20,sK23)
| ~ ssList(nil)
| ~ spl71_241
| ~ spl71_244
| ~ spl71_339 ),
inference(trivial_inequality_removal,[],[f4275]) ).
fof(f4275,plain,
( sK20 != sK20
| sK20 != app(sK20,sK23)
| ~ ssList(nil)
| ~ spl71_241
| ~ spl71_244
| ~ spl71_339 ),
inference(forward_demodulation,[],[f4036,f2621]) ).
fof(f4036,plain,
( sK20 != app(sK20,sK23)
| sK20 != app(sK20,nil)
| ~ ssList(nil)
| ~ spl71_244
| ~ spl71_339 ),
inference(superposition,[],[f4034,f2636]) ).
fof(f4034,plain,
( ! [X0] :
( sK20 != app(app(X0,sK20),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) )
| ~ spl71_339 ),
inference(avatar_component_clause,[],[f4033]) ).
fof(f18195,plain,
( spl71_1089
| ~ spl71_176
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2412,f2360,f1816,f18193]) ).
fof(f18193,plain,
( spl71_1089
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK67(X1,X2),X3)) = app(cons(X0,sK67(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1089])]) ).
fof(f2412,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK67(X1,X2),X3)) = app(cons(X0,sK67(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_176
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1817]) ).
fof(f18191,plain,
( spl71_1088
| ~ spl71_175
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2411,f2360,f1812,f18189]) ).
fof(f18189,plain,
( spl71_1088
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1088])]) ).
fof(f2411,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_175
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1813]) ).
fof(f18187,plain,
( spl71_1087
| ~ spl71_174
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2410,f2360,f1808,f18185]) ).
fof(f18185,plain,
( spl71_1087
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1087])]) ).
fof(f2410,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_174
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1809]) ).
fof(f18183,plain,
( spl71_1086
| ~ spl71_173
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2409,f2360,f1804,f18181]) ).
fof(f18181,plain,
( spl71_1086
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1086])]) ).
fof(f2409,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_173
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1805]) ).
fof(f18179,plain,
( spl71_1085
| ~ spl71_172
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2408,f2360,f1800,f18177]) ).
fof(f18177,plain,
( spl71_1085
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK63(X1,X2),X3)) = app(cons(X0,sK63(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1085])]) ).
fof(f2408,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK63(X1,X2),X3)) = app(cons(X0,sK63(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_172
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1801]) ).
fof(f17953,plain,
( ~ spl71_5
| spl71_1084
| ~ spl71_16
| ~ spl71_40
| ~ spl71_300 ),
inference(avatar_split_clause,[],[f3536,f3532,f852,f720,f17950,f666]) ).
fof(f17950,plain,
( spl71_1084
<=> frontsegP(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1084])]) ).
fof(f852,plain,
( spl71_40
<=> ! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_40])]) ).
fof(f3532,plain,
( spl71_300
<=> ! [X0] :
( frontsegP(sK20,X0)
| ~ ssList(X0)
| ~ frontsegP(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_300])]) ).
fof(f3536,plain,
( ~ ssList(nil)
| frontsegP(sK20,nil)
| ~ ssList(sK23)
| ~ spl71_40
| ~ spl71_300 ),
inference(resolution,[],[f3533,f853]) ).
fof(f853,plain,
( ! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl71_40 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f3533,plain,
( ! [X0] :
( ~ frontsegP(sK23,X0)
| ~ ssList(X0)
| frontsegP(sK20,X0) )
| ~ spl71_300 ),
inference(avatar_component_clause,[],[f3532]) ).
fof(f17893,plain,
( spl71_1083
| ~ spl71_148
| ~ spl71_226 ),
inference(avatar_split_clause,[],[f2524,f2484,f1553,f17891]) ).
fof(f17891,plain,
( spl71_1083
<=> ! [X0,X1] :
( cons(X0,X1) = app(sK63(cons(X0,X1),X0),cons(X0,sK64(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1083])]) ).
fof(f1553,plain,
( spl71_148
<=> ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_148])]) ).
fof(f2524,plain,
( ! [X0,X1] :
( cons(X0,X1) = app(sK63(cons(X0,X1),X0),cons(X0,sK64(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ ssList(X1) )
| ~ spl71_148
| ~ spl71_226 ),
inference(duplicate_literal_removal,[],[f2517]) ).
fof(f2517,plain,
( ! [X0,X1] :
( cons(X0,X1) = app(sK63(cons(X0,X1),X0),cons(X0,sK64(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl71_148
| ~ spl71_226 ),
inference(resolution,[],[f2485,f1554]) ).
fof(f1554,plain,
( ! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl71_148 ),
inference(avatar_component_clause,[],[f1553]) ).
fof(f17889,plain,
( spl71_1082
| ~ spl71_177
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2335,f2284,f1820,f17887]) ).
fof(f17887,plain,
( spl71_1082
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK68(X1,X2))) = app(tl(X0),sK68(X1,X2))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1082])]) ).
fof(f2284,plain,
( spl71_210
<=> ! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_210])]) ).
fof(f2335,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK68(X1,X2))) = app(tl(X0),sK68(X1,X2))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_177
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1821]) ).
fof(f2285,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) )
| ~ spl71_210 ),
inference(avatar_component_clause,[],[f2284]) ).
fof(f17885,plain,
( spl71_1081
| ~ spl71_176
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2334,f2284,f1816,f17883]) ).
fof(f17883,plain,
( spl71_1081
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK67(X1,X2))) = app(tl(X0),sK67(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1081])]) ).
fof(f2334,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK67(X1,X2))) = app(tl(X0),sK67(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_176
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1817]) ).
fof(f17881,plain,
( spl71_1080
| ~ spl71_175
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2333,f2284,f1812,f17879]) ).
fof(f17879,plain,
( spl71_1080
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1080])]) ).
fof(f2333,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_175
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1813]) ).
fof(f17877,plain,
( spl71_1079
| ~ spl71_174
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2332,f2284,f1808,f17875]) ).
fof(f17875,plain,
( spl71_1079
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1079])]) ).
fof(f2332,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_174
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1809]) ).
fof(f17873,plain,
( spl71_1078
| ~ spl71_173
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2331,f2284,f1804,f17871]) ).
fof(f17871,plain,
( spl71_1078
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1078])]) ).
fof(f2331,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_173
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1805]) ).
fof(f17858,plain,
( spl71_1077
| ~ spl71_172
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2330,f2284,f1800,f17856]) ).
fof(f17856,plain,
( spl71_1077
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK63(X1,X2))) = app(tl(X0),sK63(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1077])]) ).
fof(f2330,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK63(X1,X2))) = app(tl(X0),sK63(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_172
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1801]) ).
fof(f17854,plain,
( spl71_1076
| ~ spl71_177
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f2003,f1916,f1820,f17852]) ).
fof(f17852,plain,
( spl71_1076
<=> ! [X0,X1] :
( nil = sK68(X0,X1)
| sK68(X0,X1) = cons(hd(sK68(X0,X1)),tl(sK68(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1076])]) ).
fof(f2003,plain,
( ! [X0,X1] :
( nil = sK68(X0,X1)
| sK68(X0,X1) = cons(hd(sK68(X0,X1)),tl(sK68(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_177
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1821]) ).
fof(f17850,plain,
( spl71_1075
| ~ spl71_176
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f2002,f1916,f1816,f17848]) ).
fof(f17848,plain,
( spl71_1075
<=> ! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(hd(sK67(X0,X1)),tl(sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1075])]) ).
fof(f2002,plain,
( ! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(hd(sK67(X0,X1)),tl(sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_176
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1817]) ).
fof(f17846,plain,
( spl71_1074
| ~ spl71_175
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f2001,f1916,f1812,f17844]) ).
fof(f17844,plain,
( spl71_1074
<=> ! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1074])]) ).
fof(f2001,plain,
( ! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_175
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1813]) ).
fof(f17842,plain,
( spl71_1073
| ~ spl71_174
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f2000,f1916,f1808,f17840]) ).
fof(f17840,plain,
( spl71_1073
<=> ! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1073])]) ).
fof(f2000,plain,
( ! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_174
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1809]) ).
fof(f17838,plain,
( spl71_1072
| ~ spl71_173
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1999,f1916,f1804,f17836]) ).
fof(f17836,plain,
( spl71_1072
<=> ! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1072])]) ).
fof(f1999,plain,
( ! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_173
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1805]) ).
fof(f17834,plain,
( spl71_1071
| ~ spl71_172
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1998,f1916,f1800,f17832]) ).
fof(f17832,plain,
( spl71_1071
<=> ! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1071])]) ).
fof(f1998,plain,
( ! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_172
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1801]) ).
fof(f17830,plain,
( spl71_1070
| ~ spl71_177
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1968,f1912,f1820,f17828]) ).
fof(f17828,plain,
( spl71_1070
<=> ! [X0,X1] :
( nil = sK68(X0,X1)
| sK68(X0,X1) = cons(sK25(sK68(X0,X1)),sK24(sK68(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1070])]) ).
fof(f1968,plain,
( ! [X0,X1] :
( nil = sK68(X0,X1)
| sK68(X0,X1) = cons(sK25(sK68(X0,X1)),sK24(sK68(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_177
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1821]) ).
fof(f17826,plain,
( spl71_1069
| ~ spl71_176
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1967,f1912,f1816,f17824]) ).
fof(f17824,plain,
( spl71_1069
<=> ! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(sK25(sK67(X0,X1)),sK24(sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1069])]) ).
fof(f1967,plain,
( ! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(sK25(sK67(X0,X1)),sK24(sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_176
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1817]) ).
fof(f17822,plain,
( spl71_1068
| ~ spl71_175
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1966,f1912,f1812,f17820]) ).
fof(f17820,plain,
( spl71_1068
<=> ! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(sK25(sK66(X0,X1)),sK24(sK66(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1068])]) ).
fof(f1966,plain,
( ! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(sK25(sK66(X0,X1)),sK24(sK66(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_175
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1813]) ).
fof(f17818,plain,
( ~ spl71_5
| spl71_1067
| ~ spl71_16
| ~ spl71_37
| ~ spl71_299 ),
inference(avatar_split_clause,[],[f3525,f3522,f839,f720,f17815,f666]) ).
fof(f17815,plain,
( spl71_1067
<=> rearsegP(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1067])]) ).
fof(f839,plain,
( spl71_37
<=> ! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_37])]) ).
fof(f3522,plain,
( spl71_299
<=> ! [X0] :
( rearsegP(sK20,X0)
| ~ ssList(X0)
| ~ rearsegP(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_299])]) ).
fof(f3525,plain,
( ~ ssList(nil)
| rearsegP(sK20,nil)
| ~ ssList(sK23)
| ~ spl71_37
| ~ spl71_299 ),
inference(resolution,[],[f3523,f840]) ).
fof(f840,plain,
( ! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl71_37 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f3523,plain,
( ! [X0] :
( ~ rearsegP(sK23,X0)
| ~ ssList(X0)
| rearsegP(sK20,X0) )
| ~ spl71_299 ),
inference(avatar_component_clause,[],[f3522]) ).
fof(f17813,plain,
( spl71_1066
| ~ spl71_174
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1965,f1912,f1808,f17811]) ).
fof(f17811,plain,
( spl71_1066
<=> ! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(sK25(sK65(X0,X1)),sK24(sK65(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1066])]) ).
fof(f1965,plain,
( ! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(sK25(sK65(X0,X1)),sK24(sK65(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_174
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1809]) ).
fof(f17809,plain,
( spl71_1065
| ~ spl71_173
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1964,f1912,f1804,f17807]) ).
fof(f17807,plain,
( spl71_1065
<=> ! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(sK25(sK64(X0,X1)),sK24(sK64(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1065])]) ).
fof(f1964,plain,
( ! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(sK25(sK64(X0,X1)),sK24(sK64(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_173
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1805]) ).
fof(f17805,plain,
( spl71_1064
| ~ spl71_172
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1963,f1912,f1800,f17803]) ).
fof(f17803,plain,
( spl71_1064
<=> ! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(sK25(sK63(X0,X1)),sK24(sK63(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1064])]) ).
fof(f1963,plain,
( ! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(sK25(sK63(X0,X1)),sK24(sK63(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_172
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1801]) ).
fof(f17733,plain,
( spl71_1063
| ~ spl71_207
| ~ spl71_234 ),
inference(avatar_split_clause,[],[f2570,f2555,f2241,f17731]) ).
fof(f17731,plain,
( spl71_1063
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| segmentP(X3,X2)
| ~ segmentP(X3,app(app(X1,X2),X0))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1063])]) ).
fof(f2570,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| segmentP(X3,X2)
| ~ segmentP(X3,app(app(X1,X2),X0))
| ~ ssList(X3) )
| ~ spl71_207
| ~ spl71_234 ),
inference(duplicate_literal_removal,[],[f2565]) ).
fof(f2565,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| segmentP(X3,X2)
| ~ segmentP(X3,app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X3) )
| ~ spl71_207
| ~ spl71_234 ),
inference(resolution,[],[f2556,f2242]) ).
fof(f17729,plain,
( spl71_1062
| ~ spl71_198
| ~ spl71_200 ),
inference(avatar_split_clause,[],[f2215,f2148,f2140,f17727]) ).
fof(f17727,plain,
( spl71_1062
<=> ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK68(app(X0,X2),X1))
| ~ ssList(app(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1062])]) ).
fof(f2148,plain,
( spl71_200
<=> ! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_200])]) ).
fof(f2215,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK68(app(X0,X2),X1))
| ~ ssList(app(X0,X2)) )
| ~ spl71_198
| ~ spl71_200 ),
inference(duplicate_literal_removal,[],[f2210]) ).
fof(f2210,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK68(app(X0,X2),X1))
| ~ ssList(X1)
| ~ ssList(app(X0,X2)) )
| ~ spl71_198
| ~ spl71_200 ),
inference(resolution,[],[f2149,f2141]) ).
fof(f2149,plain,
( ! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_200 ),
inference(avatar_component_clause,[],[f2148]) ).
fof(f17725,plain,
( spl71_1061
| ~ spl71_197
| ~ spl71_199 ),
inference(avatar_split_clause,[],[f2207,f2144,f2134,f17723]) ).
fof(f17723,plain,
( spl71_1061
<=> ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK65(app(X2,X0),X1),X1)
| ~ ssList(app(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1061])]) ).
fof(f2134,plain,
( spl71_197
<=> ! [X0,X1] :
( app(sK65(X0,X1),X1) = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_197])]) ).
fof(f2144,plain,
( spl71_199
<=> ! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_199])]) ).
fof(f2207,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK65(app(X2,X0),X1),X1)
| ~ ssList(app(X2,X0)) )
| ~ spl71_197
| ~ spl71_199 ),
inference(duplicate_literal_removal,[],[f2202]) ).
fof(f2202,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK65(app(X2,X0),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X2,X0)) )
| ~ spl71_197
| ~ spl71_199 ),
inference(resolution,[],[f2145,f2135]) ).
fof(f2135,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK65(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_197 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f2145,plain,
( ! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_199 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f17682,plain,
( spl71_1060
| ~ spl71_275
| ~ spl71_897 ),
inference(avatar_split_clause,[],[f12024,f11980,f3196,f17679]) ).
fof(f17679,plain,
( spl71_1060
<=> sK20 = cons(sK26(sK20),sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1060])]) ).
fof(f12024,plain,
( sK20 = cons(sK26(sK20),sK23)
| ~ spl71_275
| ~ spl71_897 ),
inference(superposition,[],[f3198,f11982]) ).
fof(f17455,plain,
( spl71_1059
| ~ spl71_144
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2415,f2366,f1475,f17453]) ).
fof(f17453,plain,
( spl71_1059
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1059])]) ).
fof(f1475,plain,
( spl71_144
<=> ! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_144])]) ).
fof(f2415,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl71_144
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1476]) ).
fof(f1476,plain,
( ! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_144 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f17451,plain,
( spl71_1058
| ~ spl71_143
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2414,f2366,f1471,f17449]) ).
fof(f17449,plain,
( spl71_1058
<=> ! [X0,X3,X2,X1] :
( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1058])]) ).
fof(f1471,plain,
( spl71_143
<=> ! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_143])]) ).
fof(f2414,plain,
( ! [X2,X3,X0,X1] :
( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssList(X3) )
| ~ spl71_143
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1472]) ).
fof(f1472,plain,
( ! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) )
| ~ spl71_143 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f17447,plain,
( spl71_1057
| ~ spl71_144
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2380,f2360,f1475,f17445]) ).
fof(f17445,plain,
( spl71_1057
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1057])]) ).
fof(f2380,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_144
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1476]) ).
fof(f17422,plain,
( spl71_1056
| ~ spl71_143
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2379,f2360,f1471,f17420]) ).
fof(f17420,plain,
( spl71_1056
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1056])]) ).
fof(f2379,plain,
( ! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl71_143
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1472]) ).
fof(f17418,plain,
( spl71_1055
| ~ spl71_200
| ~ spl71_209 ),
inference(avatar_split_clause,[],[f2279,f2249,f2148,f17416]) ).
fof(f17416,plain,
( spl71_1055
<=> ! [X0,X3,X2,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1055])]) ).
fof(f2279,plain,
( ! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2) )
| ~ spl71_200
| ~ spl71_209 ),
inference(duplicate_literal_removal,[],[f2278]) ).
fof(f2278,plain,
( ! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) )
| ~ spl71_200
| ~ spl71_209 ),
inference(resolution,[],[f2250,f2149]) ).
fof(f17414,plain,
( spl71_1054
| ~ spl71_199
| ~ spl71_208 ),
inference(avatar_split_clause,[],[f2271,f2245,f2144,f17412]) ).
fof(f17412,plain,
( spl71_1054
<=> ! [X0,X3,X2,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1054])]) ).
fof(f2245,plain,
( spl71_208
<=> ! [X2,X0,X1] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_208])]) ).
fof(f2271,plain,
( ! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X3) )
| ~ spl71_199
| ~ spl71_208 ),
inference(duplicate_literal_removal,[],[f2270]) ).
fof(f2270,plain,
( ! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) )
| ~ spl71_199
| ~ spl71_208 ),
inference(resolution,[],[f2246,f2145]) ).
fof(f2246,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_208 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f17410,plain,
( spl71_1053
| ~ spl71_190
| ~ spl71_200 ),
inference(avatar_split_clause,[],[f2214,f2148,f2037,f17408]) ).
fof(f17408,plain,
( spl71_1053
<=> ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(app(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1053])]) ).
fof(f2214,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(app(X0,X2)) )
| ~ spl71_190
| ~ spl71_200 ),
inference(duplicate_literal_removal,[],[f2211]) ).
fof(f2211,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(app(X0,X2))
| ~ ssList(X1) )
| ~ spl71_190
| ~ spl71_200 ),
inference(resolution,[],[f2149,f2038]) ).
fof(f17406,plain,
( spl71_1052
| ~ spl71_188
| ~ spl71_199 ),
inference(avatar_split_clause,[],[f2206,f2144,f2029,f17404]) ).
fof(f17404,plain,
( spl71_1052
<=> ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(app(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1052])]) ).
fof(f2029,plain,
( spl71_188
<=> ! [X0,X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_188])]) ).
fof(f2206,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(app(X2,X0)) )
| ~ spl71_188
| ~ spl71_199 ),
inference(duplicate_literal_removal,[],[f2203]) ).
fof(f2203,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(app(X2,X0))
| ~ ssList(X1) )
| ~ spl71_188
| ~ spl71_199 ),
inference(resolution,[],[f2145,f2030]) ).
fof(f2030,plain,
( ! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_188 ),
inference(avatar_component_clause,[],[f2029]) ).
fof(f17200,plain,
( ~ spl71_5
| ~ spl71_1051
| ~ spl71_305
| ~ spl71_835 ),
inference(avatar_split_clause,[],[f11000,f10956,f3563,f17197,f666]) ).
fof(f3563,plain,
( spl71_305
<=> ! [X0] :
( ~ sP6(app(sK20,cons(sK22,X0)))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_305])]) ).
fof(f11000,plain,
( ~ sP6(app(sK20,sK20))
| ~ ssList(sK23)
| ~ spl71_305
| ~ spl71_835 ),
inference(superposition,[],[f3564,f10958]) ).
fof(f3564,plain,
( ! [X0] :
( ~ sP6(app(sK20,cons(sK22,X0)))
| ~ ssList(X0) )
| ~ spl71_305 ),
inference(avatar_component_clause,[],[f3563]) ).
fof(f16829,plain,
( spl71_1050
| ~ spl71_138
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2422,f2366,f1450,f16827]) ).
fof(f16827,plain,
( spl71_1050
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK27(X2)) = app(X0,app(X1,sK27(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1050])]) ).
fof(f1450,plain,
( spl71_138
<=> ! [X0] :
( ssList(sK27(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_138])]) ).
fof(f2422,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK27(X2)) = app(X0,app(X1,sK27(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) )
| ~ spl71_138
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1451]) ).
fof(f1451,plain,
( ! [X0] :
( ssList(sK27(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_138 ),
inference(avatar_component_clause,[],[f1450]) ).
fof(f16825,plain,
( spl71_1049
| ~ spl71_133
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2421,f2366,f1430,f16823]) ).
fof(f16823,plain,
( spl71_1049
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK24(X2)) = app(X0,app(X1,sK24(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1049])]) ).
fof(f1430,plain,
( spl71_133
<=> ! [X0] :
( ssList(sK24(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_133])]) ).
fof(f2421,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK24(X2)) = app(X0,app(X1,sK24(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) )
| ~ spl71_133
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1431]) ).
fof(f1431,plain,
( ! [X0] :
( ssList(sK24(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_133 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f16821,plain,
( spl71_1048
| ~ spl71_136
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2417,f2366,f1442,f16819]) ).
fof(f16819,plain,
( spl71_1048
<=> ! [X2,X0,X1] :
( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1048])]) ).
fof(f1442,plain,
( spl71_136
<=> ! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_136])]) ).
fof(f2417,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) )
| ~ spl71_136
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1443]) ).
fof(f1443,plain,
( ! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_136 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f16817,plain,
( spl71_1047
| ~ spl71_138
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2387,f2360,f1450,f16815]) ).
fof(f16815,plain,
( spl71_1047
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK27(X1),X2)) = app(cons(X0,sK27(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1047])]) ).
fof(f2387,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK27(X1),X2)) = app(cons(X0,sK27(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_138
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1451]) ).
fof(f16813,plain,
( spl71_1046
| ~ spl71_133
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2386,f2360,f1430,f16811]) ).
fof(f16811,plain,
( spl71_1046
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK24(X1),X2)) = app(cons(X0,sK24(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1046])]) ).
fof(f2386,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK24(X1),X2)) = app(cons(X0,sK24(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_133
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1431]) ).
fof(f16809,plain,
( spl71_1045
| ~ spl71_136
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2382,f2360,f1442,f16807]) ).
fof(f16807,plain,
( spl71_1045
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1045])]) ).
fof(f2382,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_136
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1443]) ).
fof(f16805,plain,
( spl71_1044
| ~ spl71_144
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2302,f2284,f1475,f16803]) ).
fof(f16803,plain,
( spl71_1044
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1044])]) ).
fof(f2302,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_144
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1476]) ).
fof(f16789,plain,
( spl71_1043
| ~ spl71_143
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2301,f2284,f1471,f16787]) ).
fof(f16787,plain,
( spl71_1043
<=> ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1043])]) ).
fof(f2301,plain,
( ! [X2,X0,X1] :
( nil = X0
| tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl71_143
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1472]) ).
fof(f16785,plain,
( spl71_1042
| ~ spl71_177
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2094,f2025,f1820,f16783]) ).
fof(f16783,plain,
( spl71_1042
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK68(X1,X2)) = app(cons(X0,nil),sK68(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1042])]) ).
fof(f2025,plain,
( spl71_187
<=> ! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_187])]) ).
fof(f2094,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK68(X1,X2)) = app(cons(X0,nil),sK68(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_177
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1821]) ).
fof(f2026,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ spl71_187 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f16781,plain,
( spl71_1041
| ~ spl71_176
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2093,f2025,f1816,f16779]) ).
fof(f16779,plain,
( spl71_1041
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK67(X1,X2)) = app(cons(X0,nil),sK67(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1041])]) ).
fof(f2093,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK67(X1,X2)) = app(cons(X0,nil),sK67(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_176
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1817]) ).
fof(f16777,plain,
( spl71_1040
| ~ spl71_175
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2092,f2025,f1812,f16775]) ).
fof(f16775,plain,
( spl71_1040
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1040])]) ).
fof(f2092,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_175
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1813]) ).
fof(f16773,plain,
( spl71_1039
| ~ spl71_174
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2091,f2025,f1808,f16771]) ).
fof(f16771,plain,
( spl71_1039
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1039])]) ).
fof(f2091,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_174
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1809]) ).
fof(f16769,plain,
( spl71_1038
| ~ spl71_173
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2090,f2025,f1804,f16767]) ).
fof(f16767,plain,
( spl71_1038
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1038])]) ).
fof(f2090,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_173
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1805]) ).
fof(f16765,plain,
( spl71_1037
| ~ spl71_172
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2089,f2025,f1800,f16763]) ).
fof(f16763,plain,
( spl71_1037
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK63(X1,X2)) = app(cons(X0,nil),sK63(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1037])]) ).
fof(f2089,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK63(X1,X2)) = app(cons(X0,nil),sK63(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_172
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1801]) ).
fof(f16761,plain,
( spl71_1036
| ~ spl71_144
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1970,f1916,f1475,f16759]) ).
fof(f16759,plain,
( spl71_1036
<=> ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1036])]) ).
fof(f1970,plain,
( ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_144
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1476]) ).
fof(f16757,plain,
( spl71_1035
| ~ spl71_143
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1969,f1916,f1471,f16755]) ).
fof(f16755,plain,
( spl71_1035
<=> ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1035])]) ).
fof(f1969,plain,
( ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl71_143
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1472]) ).
fof(f16753,plain,
( spl71_1034
| ~ spl71_144
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1935,f1912,f1475,f16751]) ).
fof(f16751,plain,
( spl71_1034
<=> ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(sK25(app(X0,X1)),sK24(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1034])]) ).
fof(f1935,plain,
( ! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(sK25(app(X0,X1)),sK24(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_144
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1476]) ).
fof(f16736,plain,
( spl71_1033
| ~ spl71_143
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1934,f1912,f1471,f16734]) ).
fof(f16734,plain,
( spl71_1033
<=> ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK25(cons(X0,X1)),sK24(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1033])]) ).
fof(f1934,plain,
( ! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK25(cons(X0,X1)),sK24(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl71_143
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1472]) ).
fof(f16333,plain,
( spl71_1032
| ~ spl71_138
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2309,f2284,f1450,f16331]) ).
fof(f16331,plain,
( spl71_1032
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK27(X1))) = app(tl(X0),sK27(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1032])]) ).
fof(f2309,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK27(X1))) = app(tl(X0),sK27(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_138
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1451]) ).
fof(f16329,plain,
( spl71_1031
| ~ spl71_133
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2308,f2284,f1430,f16327]) ).
fof(f16327,plain,
( spl71_1031
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK24(X1))) = app(tl(X0),sK24(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1031])]) ).
fof(f2308,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK24(X1))) = app(tl(X0),sK24(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_133
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1431]) ).
fof(f16325,plain,
( spl71_1030
| ~ spl71_136
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2304,f2284,f1442,f16323]) ).
fof(f16323,plain,
( spl71_1030
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1030])]) ).
fof(f2304,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_136
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1443]) ).
fof(f16321,plain,
( spl71_1029
| ~ spl71_177
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2189,f2130,f1820,f16319]) ).
fof(f16319,plain,
( spl71_1029
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK68(X1,X2)))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1029])]) ).
fof(f2130,plain,
( spl71_196
<=> ! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_196])]) ).
fof(f2189,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK68(X1,X2)))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_177
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1821]) ).
fof(f2131,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1))
| ~ ssList(X0) )
| ~ spl71_196 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f16317,plain,
( spl71_1028
| ~ spl71_176
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2188,f2130,f1816,f16315]) ).
fof(f16315,plain,
( spl71_1028
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK67(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1028])]) ).
fof(f2188,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK67(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_176
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1817]) ).
fof(f16313,plain,
( spl71_1027
| ~ spl71_175
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2187,f2130,f1812,f16311]) ).
fof(f16311,plain,
( spl71_1027
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK66(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1027])]) ).
fof(f2187,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK66(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_175
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1813]) ).
fof(f16309,plain,
( spl71_1026
| ~ spl71_174
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2186,f2130,f1808,f16307]) ).
fof(f16307,plain,
( spl71_1026
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK65(X1,X2)))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1026])]) ).
fof(f2186,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK65(X1,X2)))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_174
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1809]) ).
fof(f16305,plain,
( spl71_1025
| ~ spl71_173
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2185,f2130,f1804,f16303]) ).
fof(f16303,plain,
( spl71_1025
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK64(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1025])]) ).
fof(f2185,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK64(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_173
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1805]) ).
fof(f16288,plain,
( spl71_1024
| ~ spl71_172
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2184,f2130,f1800,f16286]) ).
fof(f16286,plain,
( spl71_1024
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK63(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1024])]) ).
fof(f2184,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK63(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) )
| ~ spl71_172
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1801]) ).
fof(f16284,plain,
( spl71_1023
| ~ spl71_166
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1900,f1820,f1627,f16282]) ).
fof(f16282,plain,
( spl71_1023
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| tl(sK68(X0,X1)) = sK27(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1023])]) ).
fof(f1900,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| tl(sK68(X0,X1)) = sK27(sK68(X0,X1)) )
| ~ spl71_166
| ~ spl71_177 ),
inference(resolution,[],[f1821,f1628]) ).
fof(f16280,plain,
( spl71_1022
| ~ spl71_165
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1899,f1820,f1623,f16278]) ).
fof(f16278,plain,
( spl71_1022
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| hd(sK68(X0,X1)) = sK26(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1022])]) ).
fof(f1623,plain,
( spl71_165
<=> ! [X0] :
( hd(X0) = sK26(X0)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_165])]) ).
fof(f1899,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| hd(sK68(X0,X1)) = sK26(sK68(X0,X1)) )
| ~ spl71_165
| ~ spl71_177 ),
inference(resolution,[],[f1821,f1624]) ).
fof(f1624,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK26(X0) )
| ~ spl71_165 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f16276,plain,
( spl71_1021
| ~ spl71_166
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1887,f1816,f1627,f16274]) ).
fof(f16274,plain,
( spl71_1021
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| tl(sK67(X0,X1)) = sK27(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1021])]) ).
fof(f1887,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| tl(sK67(X0,X1)) = sK27(sK67(X0,X1)) )
| ~ spl71_166
| ~ spl71_176 ),
inference(resolution,[],[f1817,f1628]) ).
fof(f16272,plain,
( spl71_1020
| ~ spl71_165
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1886,f1816,f1623,f16270]) ).
fof(f16270,plain,
( spl71_1020
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| hd(sK67(X0,X1)) = sK26(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1020])]) ).
fof(f1886,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| hd(sK67(X0,X1)) = sK26(sK67(X0,X1)) )
| ~ spl71_165
| ~ spl71_176 ),
inference(resolution,[],[f1817,f1624]) ).
fof(f16268,plain,
( spl71_1019
| ~ spl71_166
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1874,f1812,f1627,f16266]) ).
fof(f16266,plain,
( spl71_1019
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK27(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1019])]) ).
fof(f1874,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK27(sK66(X0,X1)) )
| ~ spl71_166
| ~ spl71_175 ),
inference(resolution,[],[f1813,f1628]) ).
fof(f16264,plain,
( spl71_1018
| ~ spl71_165
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1873,f1812,f1623,f16262]) ).
fof(f16262,plain,
( spl71_1018
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK26(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1018])]) ).
fof(f1873,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK26(sK66(X0,X1)) )
| ~ spl71_165
| ~ spl71_175 ),
inference(resolution,[],[f1813,f1624]) ).
fof(f16260,plain,
( spl71_1017
| ~ spl71_166
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1861,f1808,f1627,f16258]) ).
fof(f16258,plain,
( spl71_1017
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK27(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1017])]) ).
fof(f1861,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK27(sK65(X0,X1)) )
| ~ spl71_166
| ~ spl71_174 ),
inference(resolution,[],[f1809,f1628]) ).
fof(f16256,plain,
( spl71_1016
| ~ spl71_165
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1860,f1808,f1623,f16254]) ).
fof(f16254,plain,
( spl71_1016
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK26(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1016])]) ).
fof(f1860,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK26(sK65(X0,X1)) )
| ~ spl71_165
| ~ spl71_174 ),
inference(resolution,[],[f1809,f1624]) ).
fof(f16252,plain,
( spl71_1015
| ~ spl71_166
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1848,f1804,f1627,f16250]) ).
fof(f16250,plain,
( spl71_1015
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| tl(sK64(X0,X1)) = sK27(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1015])]) ).
fof(f1848,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| tl(sK64(X0,X1)) = sK27(sK64(X0,X1)) )
| ~ spl71_166
| ~ spl71_173 ),
inference(resolution,[],[f1805,f1628]) ).
fof(f16235,plain,
( spl71_1014
| ~ spl71_165
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1847,f1804,f1623,f16233]) ).
fof(f16233,plain,
( spl71_1014
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| hd(sK64(X0,X1)) = sK26(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1014])]) ).
fof(f1847,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| hd(sK64(X0,X1)) = sK26(sK64(X0,X1)) )
| ~ spl71_165
| ~ spl71_173 ),
inference(resolution,[],[f1805,f1624]) ).
fof(f16231,plain,
( spl71_1013
| ~ spl71_166
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1833,f1800,f1627,f16229]) ).
fof(f16229,plain,
( spl71_1013
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| tl(sK63(X0,X1)) = sK27(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1013])]) ).
fof(f1833,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| tl(sK63(X0,X1)) = sK27(sK63(X0,X1)) )
| ~ spl71_166
| ~ spl71_172 ),
inference(resolution,[],[f1801,f1628]) ).
fof(f16227,plain,
( spl71_1012
| ~ spl71_165
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1832,f1800,f1623,f16225]) ).
fof(f16225,plain,
( spl71_1012
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| hd(sK63(X0,X1)) = sK26(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1012])]) ).
fof(f1832,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| hd(sK63(X0,X1)) = sK26(sK63(X0,X1)) )
| ~ spl71_165
| ~ spl71_172 ),
inference(resolution,[],[f1801,f1624]) ).
fof(f16218,plain,
( spl71_1011
| ~ spl71_164
| ~ spl71_205 ),
inference(avatar_split_clause,[],[f2262,f2233,f1619,f16216]) ).
fof(f16216,plain,
( spl71_1011
<=> ! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ lt(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP2(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1011])]) ).
fof(f2233,plain,
( spl71_205
<=> ! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_205])]) ).
fof(f2262,plain,
( ! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ lt(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP2(X1,X2) )
| ~ spl71_164
| ~ spl71_205 ),
inference(resolution,[],[f2234,f1620]) ).
fof(f2234,plain,
( ! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_205 ),
inference(avatar_component_clause,[],[f2233]) ).
fof(f16214,plain,
( spl71_1010
| ~ spl71_164
| ~ spl71_204 ),
inference(avatar_split_clause,[],[f2261,f2229,f1619,f16212]) ).
fof(f16212,plain,
( spl71_1010
<=> ! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP2(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1010])]) ).
fof(f2229,plain,
( spl71_204
<=> ! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_204])]) ).
fof(f2261,plain,
( ! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP2(X1,X2) )
| ~ spl71_164
| ~ spl71_204 ),
inference(resolution,[],[f2230,f1620]) ).
fof(f2230,plain,
( ! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_204 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f16210,plain,
( spl71_1009
| ~ spl71_161
| ~ spl71_203 ),
inference(avatar_split_clause,[],[f2257,f2225,f1607,f16208]) ).
fof(f16208,plain,
( spl71_1009
<=> ! [X2,X0,X1] :
( leq(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1009])]) ).
fof(f2225,plain,
( spl71_203
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_203])]) ).
fof(f2257,plain,
( ! [X2,X0,X1] :
( leq(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP0(X1,X2) )
| ~ spl71_161
| ~ spl71_203 ),
inference(resolution,[],[f2226,f1608]) ).
fof(f2226,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_203 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f14269,plain,
( spl71_1008
| ~ spl71_4
| ~ spl71_554 ),
inference(avatar_split_clause,[],[f5922,f5696,f661,f14266]) ).
fof(f14266,plain,
( spl71_1008
<=> sK22 = hd(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1008])]) ).
fof(f5696,plain,
( spl71_554
<=> ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_554])]) ).
fof(f5922,plain,
( sK22 = hd(cons(sK22,nil))
| ~ spl71_4
| ~ spl71_554 ),
inference(resolution,[],[f5697,f663]) ).
fof(f5697,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 )
| ~ spl71_554 ),
inference(avatar_component_clause,[],[f5696]) ).
fof(f14136,plain,
( spl71_1007
| ~ spl71_79
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2442,f2366,f1011,f14134]) ).
fof(f14134,plain,
( spl71_1007
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK62(X2)) = app(X0,app(X1,sK62(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1007])]) ).
fof(f1011,plain,
( spl71_79
<=> ! [X0] :
( sP16(X0)
| ssList(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_79])]) ).
fof(f2442,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK62(X2)) = app(X0,app(X1,sK62(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) )
| ~ spl71_79
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1012]) ).
fof(f1012,plain,
( ! [X0] :
( ssList(sK62(X0))
| sP16(X0) )
| ~ spl71_79 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f14132,plain,
( spl71_1006
| ~ spl71_78
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2441,f2366,f1007,f14130]) ).
fof(f14130,plain,
( spl71_1006
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK61(X2)) = app(X0,app(X1,sK61(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1006])]) ).
fof(f1007,plain,
( spl71_78
<=> ! [X0] :
( sP16(X0)
| ssList(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_78])]) ).
fof(f2441,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK61(X2)) = app(X0,app(X1,sK61(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) )
| ~ spl71_78
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1008]) ).
fof(f1008,plain,
( ! [X0] :
( ssList(sK61(X0))
| sP16(X0) )
| ~ spl71_78 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f14128,plain,
( spl71_1005
| ~ spl71_77
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2440,f2366,f1003,f14126]) ).
fof(f14126,plain,
( spl71_1005
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK60(X2)) = app(X0,app(X1,sK60(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1005])]) ).
fof(f1003,plain,
( spl71_77
<=> ! [X0] :
( sP16(X0)
| ssList(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_77])]) ).
fof(f2440,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK60(X2)) = app(X0,app(X1,sK60(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) )
| ~ spl71_77
| ~ spl71_217 ),
inference(resolution,[],[f2367,f1004]) ).
fof(f1004,plain,
( ! [X0] :
( ssList(sK60(X0))
| sP16(X0) )
| ~ spl71_77 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f14124,plain,
( spl71_1004
| ~ spl71_4
| ~ spl71_553 ),
inference(avatar_split_clause,[],[f5901,f5692,f661,f14121]) ).
fof(f5692,plain,
( spl71_553
<=> ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_553])]) ).
fof(f5901,plain,
( nil = tl(cons(sK22,nil))
| ~ spl71_4
| ~ spl71_553 ),
inference(resolution,[],[f5693,f663]) ).
fof(f5693,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl71_553 ),
inference(avatar_component_clause,[],[f5692]) ).
fof(f14119,plain,
( spl71_1003
| ~ spl71_74
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2439,f2366,f991,f14117]) ).
fof(f14117,plain,
( spl71_1003
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK57(X2)) = app(X0,app(X1,sK57(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1003])]) ).
fof(f991,plain,
( spl71_74
<=> ! [X0] :
( sP14(X0)
| ssList(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_74])]) ).
fof(f2439,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK57(X2)) = app(X0,app(X1,sK57(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) )
| ~ spl71_74
| ~ spl71_217 ),
inference(resolution,[],[f2367,f992]) ).
fof(f992,plain,
( ! [X0] :
( ssList(sK57(X0))
| sP14(X0) )
| ~ spl71_74 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f14115,plain,
( spl71_1002
| ~ spl71_73
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2438,f2366,f987,f14113]) ).
fof(f14113,plain,
( spl71_1002
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK56(X2)) = app(X0,app(X1,sK56(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1002])]) ).
fof(f987,plain,
( spl71_73
<=> ! [X0] :
( sP14(X0)
| ssList(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_73])]) ).
fof(f2438,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK56(X2)) = app(X0,app(X1,sK56(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) )
| ~ spl71_73
| ~ spl71_217 ),
inference(resolution,[],[f2367,f988]) ).
fof(f988,plain,
( ! [X0] :
( ssList(sK56(X0))
| sP14(X0) )
| ~ spl71_73 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f14111,plain,
( spl71_1001
| ~ spl71_71
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2437,f2366,f978,f14109]) ).
fof(f14109,plain,
( spl71_1001
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK55(X2)) = app(X0,app(X1,sK55(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1001])]) ).
fof(f978,plain,
( spl71_71
<=> ! [X0] :
( sP14(X0)
| ssList(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_71])]) ).
fof(f2437,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK55(X2)) = app(X0,app(X1,sK55(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) )
| ~ spl71_71
| ~ spl71_217 ),
inference(resolution,[],[f2367,f979]) ).
fof(f979,plain,
( ! [X0] :
( ssList(sK55(X0))
| sP14(X0) )
| ~ spl71_71 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f14107,plain,
( spl71_1000
| ~ spl71_68
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2436,f2366,f966,f14105]) ).
fof(f14105,plain,
( spl71_1000
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK52(X2)) = app(X0,app(X1,sK52(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1000])]) ).
fof(f966,plain,
( spl71_68
<=> ! [X0] :
( sP12(X0)
| ssList(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_68])]) ).
fof(f2436,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK52(X2)) = app(X0,app(X1,sK52(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) )
| ~ spl71_68
| ~ spl71_217 ),
inference(resolution,[],[f2367,f967]) ).
fof(f967,plain,
( ! [X0] :
( ssList(sK52(X0))
| sP12(X0) )
| ~ spl71_68 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f14103,plain,
( spl71_999
| ~ spl71_67
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2435,f2366,f962,f14101]) ).
fof(f14101,plain,
( spl71_999
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK51(X2)) = app(X0,app(X1,sK51(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_999])]) ).
fof(f962,plain,
( spl71_67
<=> ! [X0] :
( sP12(X0)
| ssList(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_67])]) ).
fof(f2435,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK51(X2)) = app(X0,app(X1,sK51(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) )
| ~ spl71_67
| ~ spl71_217 ),
inference(resolution,[],[f2367,f963]) ).
fof(f963,plain,
( ! [X0] :
( ssList(sK51(X0))
| sP12(X0) )
| ~ spl71_67 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f14099,plain,
( spl71_998
| ~ spl71_66
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2434,f2366,f958,f14097]) ).
fof(f14097,plain,
( spl71_998
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK50(X2)) = app(X0,app(X1,sK50(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_998])]) ).
fof(f958,plain,
( spl71_66
<=> ! [X0] :
( sP12(X0)
| ssList(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_66])]) ).
fof(f2434,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK50(X2)) = app(X0,app(X1,sK50(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) )
| ~ spl71_66
| ~ spl71_217 ),
inference(resolution,[],[f2367,f959]) ).
fof(f959,plain,
( ! [X0] :
( ssList(sK50(X0))
| sP12(X0) )
| ~ spl71_66 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f14095,plain,
( spl71_997
| ~ spl71_63
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2433,f2366,f946,f14093]) ).
fof(f14093,plain,
( spl71_997
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK47(X2)) = app(X0,app(X1,sK47(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_997])]) ).
fof(f946,plain,
( spl71_63
<=> ! [X0] :
( sP10(X0)
| ssList(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_63])]) ).
fof(f2433,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK47(X2)) = app(X0,app(X1,sK47(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) )
| ~ spl71_63
| ~ spl71_217 ),
inference(resolution,[],[f2367,f947]) ).
fof(f947,plain,
( ! [X0] :
( ssList(sK47(X0))
| sP10(X0) )
| ~ spl71_63 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f14091,plain,
( spl71_996
| ~ spl71_62
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2432,f2366,f942,f14089]) ).
fof(f14089,plain,
( spl71_996
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK46(X2)) = app(X0,app(X1,sK46(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_996])]) ).
fof(f942,plain,
( spl71_62
<=> ! [X0] :
( sP10(X0)
| ssList(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_62])]) ).
fof(f2432,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK46(X2)) = app(X0,app(X1,sK46(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) )
| ~ spl71_62
| ~ spl71_217 ),
inference(resolution,[],[f2367,f943]) ).
fof(f943,plain,
( ! [X0] :
( ssList(sK46(X0))
| sP10(X0) )
| ~ spl71_62 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f14087,plain,
( spl71_995
| ~ spl71_60
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2431,f2366,f933,f14085]) ).
fof(f14085,plain,
( spl71_995
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK45(X2)) = app(X0,app(X1,sK45(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_995])]) ).
fof(f933,plain,
( spl71_60
<=> ! [X0] :
( sP10(X0)
| ssList(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_60])]) ).
fof(f2431,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK45(X2)) = app(X0,app(X1,sK45(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) )
| ~ spl71_60
| ~ spl71_217 ),
inference(resolution,[],[f2367,f934]) ).
fof(f934,plain,
( ! [X0] :
( ssList(sK45(X0))
| sP10(X0) )
| ~ spl71_60 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f14083,plain,
( spl71_994
| ~ spl71_57
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2430,f2366,f921,f14081]) ).
fof(f14081,plain,
( spl71_994
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK42(X2)) = app(X0,app(X1,sK42(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_994])]) ).
fof(f921,plain,
( spl71_57
<=> ! [X0] :
( sP8(X0)
| ssList(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_57])]) ).
fof(f2430,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK42(X2)) = app(X0,app(X1,sK42(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) )
| ~ spl71_57
| ~ spl71_217 ),
inference(resolution,[],[f2367,f922]) ).
fof(f922,plain,
( ! [X0] :
( ssList(sK42(X0))
| sP8(X0) )
| ~ spl71_57 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f14079,plain,
( spl71_993
| ~ spl71_18
| ~ spl71_264 ),
inference(avatar_split_clause,[],[f3096,f3001,f730,f14076]) ).
fof(f14076,plain,
( spl71_993
<=> sK70 = hd(cons(sK70,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_993])]) ).
fof(f3001,plain,
( spl71_264
<=> ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_264])]) ).
fof(f3096,plain,
( sK70 = hd(cons(sK70,sK23))
| ~ spl71_18
| ~ spl71_264 ),
inference(resolution,[],[f3002,f732]) ).
fof(f3002,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23)) = X0 )
| ~ spl71_264 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f14074,plain,
( spl71_992
| ~ spl71_56
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2429,f2366,f917,f14072]) ).
fof(f14072,plain,
( spl71_992
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK41(X2)) = app(X0,app(X1,sK41(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_992])]) ).
fof(f917,plain,
( spl71_56
<=> ! [X0] :
( sP8(X0)
| ssList(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_56])]) ).
fof(f2429,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK41(X2)) = app(X0,app(X1,sK41(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) )
| ~ spl71_56
| ~ spl71_217 ),
inference(resolution,[],[f2367,f918]) ).
fof(f918,plain,
( ! [X0] :
( ssList(sK41(X0))
| sP8(X0) )
| ~ spl71_56 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f14070,plain,
( spl71_991
| ~ spl71_55
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2428,f2366,f913,f14068]) ).
fof(f14068,plain,
( spl71_991
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK40(X2)) = app(X0,app(X1,sK40(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_991])]) ).
fof(f913,plain,
( spl71_55
<=> ! [X0] :
( sP8(X0)
| ssList(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_55])]) ).
fof(f2428,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK40(X2)) = app(X0,app(X1,sK40(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) )
| ~ spl71_55
| ~ spl71_217 ),
inference(resolution,[],[f2367,f914]) ).
fof(f914,plain,
( ! [X0] :
( ssList(sK40(X0))
| sP8(X0) )
| ~ spl71_55 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f14066,plain,
( spl71_990
| ~ spl71_52
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2427,f2366,f901,f14064]) ).
fof(f14064,plain,
( spl71_990
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK37(X2)) = app(X0,app(X1,sK37(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_990])]) ).
fof(f901,plain,
( spl71_52
<=> ! [X0] :
( sP6(X0)
| ssList(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_52])]) ).
fof(f2427,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK37(X2)) = app(X0,app(X1,sK37(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) )
| ~ spl71_52
| ~ spl71_217 ),
inference(resolution,[],[f2367,f902]) ).
fof(f902,plain,
( ! [X0] :
( ssList(sK37(X0))
| sP6(X0) )
| ~ spl71_52 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f14062,plain,
( spl71_989
| ~ spl71_51
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2426,f2366,f897,f14060]) ).
fof(f14060,plain,
( spl71_989
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK36(X2)) = app(X0,app(X1,sK36(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_989])]) ).
fof(f897,plain,
( spl71_51
<=> ! [X0] :
( sP6(X0)
| ssList(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_51])]) ).
fof(f2426,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK36(X2)) = app(X0,app(X1,sK36(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) )
| ~ spl71_51
| ~ spl71_217 ),
inference(resolution,[],[f2367,f898]) ).
fof(f898,plain,
( ! [X0] :
( ssList(sK36(X0))
| sP6(X0) )
| ~ spl71_51 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f14058,plain,
( spl71_988
| ~ spl71_49
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2425,f2366,f888,f14056]) ).
fof(f14056,plain,
( spl71_988
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK35(X2)) = app(X0,app(X1,sK35(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_988])]) ).
fof(f888,plain,
( spl71_49
<=> ! [X0] :
( sP6(X0)
| ssList(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_49])]) ).
fof(f2425,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK35(X2)) = app(X0,app(X1,sK35(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) )
| ~ spl71_49
| ~ spl71_217 ),
inference(resolution,[],[f2367,f889]) ).
fof(f889,plain,
( ! [X0] :
( ssList(sK35(X0))
| sP6(X0) )
| ~ spl71_49 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f14054,plain,
( spl71_987
| ~ spl71_46
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2424,f2366,f876,f14052]) ).
fof(f14052,plain,
( spl71_987
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK32(X2)) = app(X0,app(X1,sK32(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP4(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_987])]) ).
fof(f876,plain,
( spl71_46
<=> ! [X0] :
( sP4(X0)
| ssList(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_46])]) ).
fof(f2424,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK32(X2)) = app(X0,app(X1,sK32(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP4(X2) )
| ~ spl71_46
| ~ spl71_217 ),
inference(resolution,[],[f2367,f877]) ).
fof(f877,plain,
( ! [X0] :
( ssList(sK32(X0))
| sP4(X0) )
| ~ spl71_46 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f14050,plain,
( spl71_986
| ~ spl71_45
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2423,f2366,f872,f14048]) ).
fof(f14048,plain,
( spl71_986
<=> ! [X2,X0,X1] :
( app(app(X0,X1),sK31(X2)) = app(X0,app(X1,sK31(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP4(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_986])]) ).
fof(f872,plain,
( spl71_45
<=> ! [X0] :
( sP4(X0)
| ssList(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_45])]) ).
fof(f2423,plain,
( ! [X2,X0,X1] :
( app(app(X0,X1),sK31(X2)) = app(X0,app(X1,sK31(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP4(X2) )
| ~ spl71_45
| ~ spl71_217 ),
inference(resolution,[],[f2367,f873]) ).
fof(f873,plain,
( ! [X0] :
( ssList(sK31(X0))
| sP4(X0) )
| ~ spl71_45 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f14046,plain,
( spl71_985
| ~ spl71_79
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2407,f2360,f1011,f14044]) ).
fof(f14044,plain,
( spl71_985
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK62(X1),X2)) = app(cons(X0,sK62(X1)),X2)
| ~ ssList(X2)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_985])]) ).
fof(f2407,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK62(X1),X2)) = app(cons(X0,sK62(X1)),X2)
| ~ ssList(X2)
| sP16(X1) )
| ~ spl71_79
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1012]) ).
fof(f14042,plain,
( spl71_984
| ~ spl71_78
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2406,f2360,f1007,f14040]) ).
fof(f14040,plain,
( spl71_984
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK61(X1),X2)) = app(cons(X0,sK61(X1)),X2)
| ~ ssList(X2)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_984])]) ).
fof(f2406,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK61(X1),X2)) = app(cons(X0,sK61(X1)),X2)
| ~ ssList(X2)
| sP16(X1) )
| ~ spl71_78
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1008]) ).
fof(f14038,plain,
( spl71_983
| ~ spl71_77
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2405,f2360,f1003,f14036]) ).
fof(f14036,plain,
( spl71_983
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK60(X1),X2)) = app(cons(X0,sK60(X1)),X2)
| ~ ssList(X2)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_983])]) ).
fof(f2405,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK60(X1),X2)) = app(cons(X0,sK60(X1)),X2)
| ~ ssList(X2)
| sP16(X1) )
| ~ spl71_77
| ~ spl71_216 ),
inference(resolution,[],[f2361,f1004]) ).
fof(f14034,plain,
( spl71_982
| ~ spl71_17
| ~ spl71_264 ),
inference(avatar_split_clause,[],[f3095,f3001,f725,f14031]) ).
fof(f14031,plain,
( spl71_982
<=> sK69 = hd(cons(sK69,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_982])]) ).
fof(f3095,plain,
( sK69 = hd(cons(sK69,sK23))
| ~ spl71_17
| ~ spl71_264 ),
inference(resolution,[],[f3002,f727]) ).
fof(f14029,plain,
( spl71_981
| ~ spl71_74
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2404,f2360,f991,f14027]) ).
fof(f14027,plain,
( spl71_981
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK57(X1),X2)) = app(cons(X0,sK57(X1)),X2)
| ~ ssList(X2)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_981])]) ).
fof(f2404,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK57(X1),X2)) = app(cons(X0,sK57(X1)),X2)
| ~ ssList(X2)
| sP14(X1) )
| ~ spl71_74
| ~ spl71_216 ),
inference(resolution,[],[f2361,f992]) ).
fof(f14025,plain,
( spl71_980
| ~ spl71_73
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2403,f2360,f987,f14023]) ).
fof(f14023,plain,
( spl71_980
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK56(X1),X2)) = app(cons(X0,sK56(X1)),X2)
| ~ ssList(X2)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_980])]) ).
fof(f2403,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK56(X1),X2)) = app(cons(X0,sK56(X1)),X2)
| ~ ssList(X2)
| sP14(X1) )
| ~ spl71_73
| ~ spl71_216 ),
inference(resolution,[],[f2361,f988]) ).
fof(f14021,plain,
( spl71_979
| ~ spl71_71
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2402,f2360,f978,f14019]) ).
fof(f14019,plain,
( spl71_979
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK55(X1),X2)) = app(cons(X0,sK55(X1)),X2)
| ~ ssList(X2)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_979])]) ).
fof(f2402,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK55(X1),X2)) = app(cons(X0,sK55(X1)),X2)
| ~ ssList(X2)
| sP14(X1) )
| ~ spl71_71
| ~ spl71_216 ),
inference(resolution,[],[f2361,f979]) ).
fof(f14017,plain,
( spl71_978
| ~ spl71_68
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2401,f2360,f966,f14015]) ).
fof(f14015,plain,
( spl71_978
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK52(X1),X2)) = app(cons(X0,sK52(X1)),X2)
| ~ ssList(X2)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_978])]) ).
fof(f2401,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK52(X1),X2)) = app(cons(X0,sK52(X1)),X2)
| ~ ssList(X2)
| sP12(X1) )
| ~ spl71_68
| ~ spl71_216 ),
inference(resolution,[],[f2361,f967]) ).
fof(f14013,plain,
( spl71_977
| ~ spl71_67
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2400,f2360,f962,f14011]) ).
fof(f14011,plain,
( spl71_977
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK51(X1),X2)) = app(cons(X0,sK51(X1)),X2)
| ~ ssList(X2)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_977])]) ).
fof(f2400,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK51(X1),X2)) = app(cons(X0,sK51(X1)),X2)
| ~ ssList(X2)
| sP12(X1) )
| ~ spl71_67
| ~ spl71_216 ),
inference(resolution,[],[f2361,f963]) ).
fof(f14009,plain,
( spl71_976
| ~ spl71_66
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2399,f2360,f958,f14007]) ).
fof(f14007,plain,
( spl71_976
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK50(X1),X2)) = app(cons(X0,sK50(X1)),X2)
| ~ ssList(X2)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_976])]) ).
fof(f2399,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK50(X1),X2)) = app(cons(X0,sK50(X1)),X2)
| ~ ssList(X2)
| sP12(X1) )
| ~ spl71_66
| ~ spl71_216 ),
inference(resolution,[],[f2361,f959]) ).
fof(f14005,plain,
( spl71_975
| ~ spl71_63
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2398,f2360,f946,f14003]) ).
fof(f14003,plain,
( spl71_975
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK47(X1),X2)) = app(cons(X0,sK47(X1)),X2)
| ~ ssList(X2)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_975])]) ).
fof(f2398,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK47(X1),X2)) = app(cons(X0,sK47(X1)),X2)
| ~ ssList(X2)
| sP10(X1) )
| ~ spl71_63
| ~ spl71_216 ),
inference(resolution,[],[f2361,f947]) ).
fof(f14001,plain,
( spl71_974
| ~ spl71_62
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2397,f2360,f942,f13999]) ).
fof(f13999,plain,
( spl71_974
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK46(X1),X2)) = app(cons(X0,sK46(X1)),X2)
| ~ ssList(X2)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_974])]) ).
fof(f2397,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK46(X1),X2)) = app(cons(X0,sK46(X1)),X2)
| ~ ssList(X2)
| sP10(X1) )
| ~ spl71_62
| ~ spl71_216 ),
inference(resolution,[],[f2361,f943]) ).
fof(f13997,plain,
( spl71_973
| ~ spl71_60
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2396,f2360,f933,f13995]) ).
fof(f13995,plain,
( spl71_973
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK45(X1),X2)) = app(cons(X0,sK45(X1)),X2)
| ~ ssList(X2)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_973])]) ).
fof(f2396,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK45(X1),X2)) = app(cons(X0,sK45(X1)),X2)
| ~ ssList(X2)
| sP10(X1) )
| ~ spl71_60
| ~ spl71_216 ),
inference(resolution,[],[f2361,f934]) ).
fof(f13993,plain,
( spl71_972
| ~ spl71_57
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2395,f2360,f921,f13991]) ).
fof(f13991,plain,
( spl71_972
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK42(X1),X2)) = app(cons(X0,sK42(X1)),X2)
| ~ ssList(X2)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_972])]) ).
fof(f2395,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK42(X1),X2)) = app(cons(X0,sK42(X1)),X2)
| ~ ssList(X2)
| sP8(X1) )
| ~ spl71_57
| ~ spl71_216 ),
inference(resolution,[],[f2361,f922]) ).
fof(f13986,plain,
( spl71_971
| ~ spl71_56
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2394,f2360,f917,f13984]) ).
fof(f13984,plain,
( spl71_971
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK41(X1),X2)) = app(cons(X0,sK41(X1)),X2)
| ~ ssList(X2)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_971])]) ).
fof(f2394,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK41(X1),X2)) = app(cons(X0,sK41(X1)),X2)
| ~ ssList(X2)
| sP8(X1) )
| ~ spl71_56
| ~ spl71_216 ),
inference(resolution,[],[f2361,f918]) ).
fof(f13982,plain,
( spl71_970
| ~ spl71_55
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2393,f2360,f913,f13980]) ).
fof(f13980,plain,
( spl71_970
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK40(X1),X2)) = app(cons(X0,sK40(X1)),X2)
| ~ ssList(X2)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_970])]) ).
fof(f2393,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK40(X1),X2)) = app(cons(X0,sK40(X1)),X2)
| ~ ssList(X2)
| sP8(X1) )
| ~ spl71_55
| ~ spl71_216 ),
inference(resolution,[],[f2361,f914]) ).
fof(f13978,plain,
( spl71_969
| ~ spl71_52
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2392,f2360,f901,f13976]) ).
fof(f13976,plain,
( spl71_969
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK37(X1),X2)) = app(cons(X0,sK37(X1)),X2)
| ~ ssList(X2)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_969])]) ).
fof(f2392,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK37(X1),X2)) = app(cons(X0,sK37(X1)),X2)
| ~ ssList(X2)
| sP6(X1) )
| ~ spl71_52
| ~ spl71_216 ),
inference(resolution,[],[f2361,f902]) ).
fof(f13974,plain,
( spl71_968
| ~ spl71_51
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2391,f2360,f897,f13972]) ).
fof(f13972,plain,
( spl71_968
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK36(X1),X2)) = app(cons(X0,sK36(X1)),X2)
| ~ ssList(X2)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_968])]) ).
fof(f2391,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK36(X1),X2)) = app(cons(X0,sK36(X1)),X2)
| ~ ssList(X2)
| sP6(X1) )
| ~ spl71_51
| ~ spl71_216 ),
inference(resolution,[],[f2361,f898]) ).
fof(f13970,plain,
( spl71_967
| ~ spl71_49
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2390,f2360,f888,f13968]) ).
fof(f13968,plain,
( spl71_967
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK35(X1),X2)) = app(cons(X0,sK35(X1)),X2)
| ~ ssList(X2)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_967])]) ).
fof(f2390,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK35(X1),X2)) = app(cons(X0,sK35(X1)),X2)
| ~ ssList(X2)
| sP6(X1) )
| ~ spl71_49
| ~ spl71_216 ),
inference(resolution,[],[f2361,f889]) ).
fof(f13966,plain,
( spl71_966
| ~ spl71_46
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2389,f2360,f876,f13964]) ).
fof(f13964,plain,
( spl71_966
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK32(X1),X2)) = app(cons(X0,sK32(X1)),X2)
| ~ ssList(X2)
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_966])]) ).
fof(f2389,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK32(X1),X2)) = app(cons(X0,sK32(X1)),X2)
| ~ ssList(X2)
| sP4(X1) )
| ~ spl71_46
| ~ spl71_216 ),
inference(resolution,[],[f2361,f877]) ).
fof(f13962,plain,
( spl71_965
| ~ spl71_45
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2388,f2360,f872,f13960]) ).
fof(f13960,plain,
( spl71_965
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK31(X1),X2)) = app(cons(X0,sK31(X1)),X2)
| ~ ssList(X2)
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_965])]) ).
fof(f2388,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK31(X1),X2)) = app(cons(X0,sK31(X1)),X2)
| ~ ssList(X2)
| sP4(X1) )
| ~ spl71_45
| ~ spl71_216 ),
inference(resolution,[],[f2361,f873]) ).
fof(f13958,plain,
( spl71_964
| ~ spl71_6
| ~ spl71_251
| ~ spl71_945 ),
inference(avatar_split_clause,[],[f13878,f13609,f2780,f671,f13791]) ).
fof(f13878,plain,
( sK22 = sK26(sK20)
| ~ spl71_6
| ~ spl71_251
| ~ spl71_945 ),
inference(forward_demodulation,[],[f2889,f13611]) ).
fof(f2889,plain,
( hd(sK20) = sK26(sK20)
| ~ spl71_6
| ~ spl71_251 ),
inference(forward_demodulation,[],[f2782,f673]) ).
fof(f13880,plain,
( ~ spl71_250
| ~ spl71_6
| spl71_7 ),
inference(avatar_split_clause,[],[f2890,f675,f671,f2770]) ).
fof(f2890,plain,
( nil != sK20
| ~ spl71_6
| spl71_7 ),
inference(forward_demodulation,[],[f677,f673]) ).
fof(f677,plain,
( nil != sK21
| spl71_7 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f13794,plain,
( spl71_964
| ~ spl71_249
| ~ spl71_945 ),
inference(avatar_split_clause,[],[f13737,f13609,f2766,f13791]) ).
fof(f2766,plain,
( spl71_249
<=> hd(sK20) = sK26(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_249])]) ).
fof(f13737,plain,
( sK22 = sK26(sK20)
| ~ spl71_249
| ~ spl71_945 ),
inference(superposition,[],[f13611,f2768]) ).
fof(f2768,plain,
( hd(sK20) = sK26(sK20)
| ~ spl71_249 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f13789,plain,
( spl71_963
| ~ spl71_192
| ~ spl71_198 ),
inference(avatar_split_clause,[],[f2199,f2140,f2045,f13787]) ).
fof(f13787,plain,
( spl71_963
<=> ! [X0,X1] :
( app(X0,X1) = app(X0,sK68(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_963])]) ).
fof(f2045,plain,
( spl71_192
<=> ! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_192])]) ).
fof(f2199,plain,
( ! [X0,X1] :
( app(X0,X1) = app(X0,sK68(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ spl71_192
| ~ spl71_198 ),
inference(duplicate_literal_removal,[],[f2198]) ).
fof(f2198,plain,
( ! [X0,X1] :
( app(X0,X1) = app(X0,sK68(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) )
| ~ spl71_192
| ~ spl71_198 ),
inference(resolution,[],[f2141,f2046]) ).
fof(f2046,plain,
( ! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) )
| ~ spl71_192 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f13785,plain,
( spl71_962
| ~ spl71_191
| ~ spl71_197 ),
inference(avatar_split_clause,[],[f2193,f2134,f2041,f13783]) ).
fof(f13783,plain,
( spl71_962
<=> ! [X0,X1] :
( app(X0,X1) = app(sK65(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_962])]) ).
fof(f2041,plain,
( spl71_191
<=> ! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_191])]) ).
fof(f2193,plain,
( ! [X0,X1] :
( app(X0,X1) = app(sK65(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0) )
| ~ spl71_191
| ~ spl71_197 ),
inference(duplicate_literal_removal,[],[f2192]) ).
fof(f2192,plain,
( ! [X0,X1] :
( app(X0,X1) = app(sK65(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1)) )
| ~ spl71_191
| ~ spl71_197 ),
inference(resolution,[],[f2135,f2042]) ).
fof(f2042,plain,
( ! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) )
| ~ spl71_191 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f13781,plain,
( spl71_961
| ~ spl71_144
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2061,f2025,f1475,f13779]) ).
fof(f13779,plain,
( spl71_961
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_961])]) ).
fof(f2061,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_144
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1476]) ).
fof(f13777,plain,
( spl71_960
| ~ spl71_143
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2060,f2025,f1471,f13775]) ).
fof(f13775,plain,
( spl71_960
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_960])]) ).
fof(f2060,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl71_143
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1472]) ).
fof(f13773,plain,
( spl71_959
| ~ spl71_161
| ~ spl71_186 ),
inference(avatar_split_clause,[],[f2056,f2019,f1607,f13771]) ).
fof(f13771,plain,
( spl71_959
<=> ! [X0,X1] :
( hd(X0) = X1
| ~ leq(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0))
| nil = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_959])]) ).
fof(f2019,plain,
( spl71_186
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_186])]) ).
fof(f2056,plain,
( ! [X0,X1] :
( hd(X0) = X1
| ~ leq(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0))
| nil = X0
| ~ sP0(X0,X1) )
| ~ spl71_161
| ~ spl71_186 ),
inference(resolution,[],[f2020,f1608]) ).
fof(f2020,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_186 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f13769,plain,
( spl71_958
| ~ spl71_161
| ~ spl71_184 ),
inference(avatar_split_clause,[],[f2049,f2011,f1607,f13767]) ).
fof(f13767,plain,
( spl71_958
<=> ! [X0,X1] :
( hd(X1) = X0
| lt(X0,hd(X1))
| ~ ssItem(hd(X1))
| ~ ssItem(X0)
| nil = X1
| ~ sP0(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_958])]) ).
fof(f2011,plain,
( spl71_184
<=> ! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_184])]) ).
fof(f2049,plain,
( ! [X0,X1] :
( hd(X1) = X0
| lt(X0,hd(X1))
| ~ ssItem(hd(X1))
| ~ ssItem(X0)
| nil = X1
| ~ sP0(X1,X0) )
| ~ spl71_161
| ~ spl71_184 ),
inference(resolution,[],[f2012,f1608]) ).
fof(f2012,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_184 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f13765,plain,
( spl71_957
| ~ spl71_138
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1977,f1916,f1450,f13763]) ).
fof(f13763,plain,
( spl71_957
<=> ! [X0] :
( nil = sK27(X0)
| sK27(X0) = cons(hd(sK27(X0)),tl(sK27(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_957])]) ).
fof(f1977,plain,
( ! [X0] :
( nil = sK27(X0)
| sK27(X0) = cons(hd(sK27(X0)),tl(sK27(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_138
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1451]) ).
fof(f13761,plain,
( spl71_956
| ~ spl71_133
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1976,f1916,f1430,f13759]) ).
fof(f13759,plain,
( spl71_956
<=> ! [X0] :
( nil = sK24(X0)
| sK24(X0) = cons(hd(sK24(X0)),tl(sK24(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_956])]) ).
fof(f1976,plain,
( ! [X0] :
( nil = sK24(X0)
| sK24(X0) = cons(hd(sK24(X0)),tl(sK24(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_133
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1431]) ).
fof(f13757,plain,
( spl71_955
| ~ spl71_136
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1972,f1916,f1442,f13755]) ).
fof(f13755,plain,
( spl71_955
<=> ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_955])]) ).
fof(f1972,plain,
( ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_136
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1443]) ).
fof(f13753,plain,
( spl71_954
| ~ spl71_138
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1942,f1912,f1450,f13751]) ).
fof(f13751,plain,
( spl71_954
<=> ! [X0] :
( nil = sK27(X0)
| sK27(X0) = cons(sK25(sK27(X0)),sK24(sK27(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_954])]) ).
fof(f1942,plain,
( ! [X0] :
( nil = sK27(X0)
| sK27(X0) = cons(sK25(sK27(X0)),sK24(sK27(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_138
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1451]) ).
fof(f13736,plain,
( spl71_953
| ~ spl71_133
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1941,f1912,f1430,f13734]) ).
fof(f13734,plain,
( spl71_953
<=> ! [X0] :
( nil = sK24(X0)
| sK24(X0) = cons(sK25(sK24(X0)),sK24(sK24(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_953])]) ).
fof(f1941,plain,
( ! [X0] :
( nil = sK24(X0)
| sK24(X0) = cons(sK25(sK24(X0)),sK24(sK24(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_133
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1431]) ).
fof(f13732,plain,
( spl71_952
| ~ spl71_136
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1937,f1912,f1442,f13730]) ).
fof(f13730,plain,
( spl71_952
<=> ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK25(tl(X0)),sK24(tl(X0)))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_952])]) ).
fof(f1937,plain,
( ! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK25(tl(X0)),sK24(tl(X0)))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_136
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1443]) ).
fof(f13728,plain,
( spl71_951
| ~ spl71_168
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1901,f1820,f1635,f13726]) ).
fof(f13726,plain,
( spl71_951
<=> ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK68(X0,X1) = tl(cons(X2,sK68(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_951])]) ).
fof(f1635,plain,
( spl71_168
<=> ! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_168])]) ).
fof(f1901,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK68(X0,X1) = tl(cons(X2,sK68(X0,X1))) )
| ~ spl71_168
| ~ spl71_177 ),
inference(resolution,[],[f1821,f1636]) ).
fof(f1636,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 )
| ~ spl71_168 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f13724,plain,
( spl71_950
| ~ spl71_168
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1888,f1816,f1635,f13722]) ).
fof(f13722,plain,
( spl71_950
<=> ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK67(X0,X1) = tl(cons(X2,sK67(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_950])]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK67(X0,X1) = tl(cons(X2,sK67(X0,X1))) )
| ~ spl71_168
| ~ spl71_176 ),
inference(resolution,[],[f1817,f1636]) ).
fof(f13720,plain,
( spl71_949
| ~ spl71_168
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1875,f1812,f1635,f13718]) ).
fof(f13718,plain,
( spl71_949
<=> ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_949])]) ).
fof(f1875,plain,
( ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) )
| ~ spl71_168
| ~ spl71_175 ),
inference(resolution,[],[f1813,f1636]) ).
fof(f13716,plain,
( spl71_948
| ~ spl71_168
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1862,f1808,f1635,f13714]) ).
fof(f13714,plain,
( spl71_948
<=> ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_948])]) ).
fof(f1862,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) )
| ~ spl71_168
| ~ spl71_174 ),
inference(resolution,[],[f1809,f1636]) ).
fof(f13712,plain,
( spl71_947
| ~ spl71_168
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1849,f1804,f1635,f13710]) ).
fof(f13710,plain,
( spl71_947
<=> ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_947])]) ).
fof(f1849,plain,
( ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) )
| ~ spl71_168
| ~ spl71_173 ),
inference(resolution,[],[f1805,f1636]) ).
fof(f13708,plain,
( spl71_946
| ~ spl71_168
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1834,f1800,f1635,f13706]) ).
fof(f13706,plain,
( spl71_946
<=> ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_946])]) ).
fof(f1834,plain,
( ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) )
| ~ spl71_168
| ~ spl71_172 ),
inference(resolution,[],[f1801,f1636]) ).
fof(f13612,plain,
( spl71_945
| ~ spl71_835
| ~ spl71_944 ),
inference(avatar_split_clause,[],[f13147,f13143,f10956,f13609]) ).
fof(f13143,plain,
( spl71_944
<=> sK22 = hd(cons(sK22,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_944])]) ).
fof(f13147,plain,
( sK22 = hd(sK20)
| ~ spl71_835
| ~ spl71_944 ),
inference(forward_demodulation,[],[f13145,f10958]) ).
fof(f13145,plain,
( sK22 = hd(cons(sK22,sK23))
| ~ spl71_944 ),
inference(avatar_component_clause,[],[f13143]) ).
fof(f13146,plain,
( spl71_944
| ~ spl71_4
| ~ spl71_264 ),
inference(avatar_split_clause,[],[f3077,f3001,f661,f13143]) ).
fof(f3077,plain,
( sK22 = hd(cons(sK22,sK23))
| ~ spl71_4
| ~ spl71_264 ),
inference(resolution,[],[f3002,f663]) ).
fof(f12725,plain,
( spl71_943
| ~ spl71_18
| ~ spl71_261 ),
inference(avatar_split_clause,[],[f3072,f2987,f730,f12722]) ).
fof(f12722,plain,
( spl71_943
<=> sK70 = hd(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_943])]) ).
fof(f2987,plain,
( spl71_261
<=> ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_261])]) ).
fof(f3072,plain,
( sK70 = hd(cons(sK70,sK20))
| ~ spl71_18
| ~ spl71_261 ),
inference(resolution,[],[f2988,f732]) ).
fof(f2988,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 )
| ~ spl71_261 ),
inference(avatar_component_clause,[],[f2987]) ).
fof(f12438,plain,
( spl71_942
| ~ spl71_17
| ~ spl71_261 ),
inference(avatar_split_clause,[],[f3071,f2987,f725,f12435]) ).
fof(f12435,plain,
( spl71_942
<=> sK69 = hd(cons(sK69,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_942])]) ).
fof(f3071,plain,
( sK69 = hd(cons(sK69,sK20))
| ~ spl71_17
| ~ spl71_261 ),
inference(resolution,[],[f2988,f727]) ).
fof(f12171,plain,
( spl71_941
| ~ spl71_79
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2329,f2284,f1011,f12169]) ).
fof(f12169,plain,
( spl71_941
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK62(X1))) = app(tl(X0),sK62(X1))
| ~ ssList(X0)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_941])]) ).
fof(f2329,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK62(X1))) = app(tl(X0),sK62(X1))
| ~ ssList(X0)
| sP16(X1) )
| ~ spl71_79
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1012]) ).
fof(f12167,plain,
( spl71_940
| ~ spl71_4
| ~ spl71_261 ),
inference(avatar_split_clause,[],[f3053,f2987,f661,f12164]) ).
fof(f12164,plain,
( spl71_940
<=> sK22 = hd(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_940])]) ).
fof(f3053,plain,
( sK22 = hd(cons(sK22,sK20))
| ~ spl71_4
| ~ spl71_261 ),
inference(resolution,[],[f2988,f663]) ).
fof(f12162,plain,
( spl71_939
| ~ spl71_78
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2328,f2284,f1007,f12160]) ).
fof(f12160,plain,
( spl71_939
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK61(X1))) = app(tl(X0),sK61(X1))
| ~ ssList(X0)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_939])]) ).
fof(f2328,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK61(X1))) = app(tl(X0),sK61(X1))
| ~ ssList(X0)
| sP16(X1) )
| ~ spl71_78
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1008]) ).
fof(f12158,plain,
( spl71_938
| ~ spl71_77
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2327,f2284,f1003,f12156]) ).
fof(f12156,plain,
( spl71_938
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK60(X1))) = app(tl(X0),sK60(X1))
| ~ ssList(X0)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_938])]) ).
fof(f2327,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK60(X1))) = app(tl(X0),sK60(X1))
| ~ ssList(X0)
| sP16(X1) )
| ~ spl71_77
| ~ spl71_210 ),
inference(resolution,[],[f2285,f1004]) ).
fof(f12154,plain,
( spl71_937
| ~ spl71_74
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2326,f2284,f991,f12152]) ).
fof(f12152,plain,
( spl71_937
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK57(X1))) = app(tl(X0),sK57(X1))
| ~ ssList(X0)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_937])]) ).
fof(f2326,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK57(X1))) = app(tl(X0),sK57(X1))
| ~ ssList(X0)
| sP14(X1) )
| ~ spl71_74
| ~ spl71_210 ),
inference(resolution,[],[f2285,f992]) ).
fof(f12150,plain,
( spl71_936
| ~ spl71_73
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2325,f2284,f987,f12148]) ).
fof(f12148,plain,
( spl71_936
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK56(X1))) = app(tl(X0),sK56(X1))
| ~ ssList(X0)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_936])]) ).
fof(f2325,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK56(X1))) = app(tl(X0),sK56(X1))
| ~ ssList(X0)
| sP14(X1) )
| ~ spl71_73
| ~ spl71_210 ),
inference(resolution,[],[f2285,f988]) ).
fof(f12146,plain,
( spl71_935
| ~ spl71_71
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2324,f2284,f978,f12144]) ).
fof(f12144,plain,
( spl71_935
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK55(X1))) = app(tl(X0),sK55(X1))
| ~ ssList(X0)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_935])]) ).
fof(f2324,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK55(X1))) = app(tl(X0),sK55(X1))
| ~ ssList(X0)
| sP14(X1) )
| ~ spl71_71
| ~ spl71_210 ),
inference(resolution,[],[f2285,f979]) ).
fof(f12142,plain,
( spl71_934
| ~ spl71_68
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2323,f2284,f966,f12140]) ).
fof(f12140,plain,
( spl71_934
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK52(X1))) = app(tl(X0),sK52(X1))
| ~ ssList(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_934])]) ).
fof(f2323,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK52(X1))) = app(tl(X0),sK52(X1))
| ~ ssList(X0)
| sP12(X1) )
| ~ spl71_68
| ~ spl71_210 ),
inference(resolution,[],[f2285,f967]) ).
fof(f12138,plain,
( spl71_933
| ~ spl71_67
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2322,f2284,f962,f12136]) ).
fof(f12136,plain,
( spl71_933
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK51(X1))) = app(tl(X0),sK51(X1))
| ~ ssList(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_933])]) ).
fof(f2322,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK51(X1))) = app(tl(X0),sK51(X1))
| ~ ssList(X0)
| sP12(X1) )
| ~ spl71_67
| ~ spl71_210 ),
inference(resolution,[],[f2285,f963]) ).
fof(f12134,plain,
( spl71_932
| ~ spl71_66
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2321,f2284,f958,f12132]) ).
fof(f12132,plain,
( spl71_932
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK50(X1))) = app(tl(X0),sK50(X1))
| ~ ssList(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_932])]) ).
fof(f2321,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK50(X1))) = app(tl(X0),sK50(X1))
| ~ ssList(X0)
| sP12(X1) )
| ~ spl71_66
| ~ spl71_210 ),
inference(resolution,[],[f2285,f959]) ).
fof(f12130,plain,
( spl71_931
| ~ spl71_63
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2320,f2284,f946,f12128]) ).
fof(f12128,plain,
( spl71_931
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK47(X1))) = app(tl(X0),sK47(X1))
| ~ ssList(X0)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_931])]) ).
fof(f2320,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK47(X1))) = app(tl(X0),sK47(X1))
| ~ ssList(X0)
| sP10(X1) )
| ~ spl71_63
| ~ spl71_210 ),
inference(resolution,[],[f2285,f947]) ).
fof(f12126,plain,
( spl71_930
| ~ spl71_62
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2319,f2284,f942,f12124]) ).
fof(f12124,plain,
( spl71_930
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK46(X1))) = app(tl(X0),sK46(X1))
| ~ ssList(X0)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_930])]) ).
fof(f2319,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK46(X1))) = app(tl(X0),sK46(X1))
| ~ ssList(X0)
| sP10(X1) )
| ~ spl71_62
| ~ spl71_210 ),
inference(resolution,[],[f2285,f943]) ).
fof(f12122,plain,
( spl71_929
| ~ spl71_18
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3048,f2983,f730,f12119]) ).
fof(f12119,plain,
( spl71_929
<=> sK23 = tl(cons(sK70,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_929])]) ).
fof(f3048,plain,
( sK23 = tl(cons(sK70,sK23))
| ~ spl71_18
| ~ spl71_260 ),
inference(resolution,[],[f2984,f732]) ).
fof(f12117,plain,
( spl71_928
| ~ spl71_60
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2318,f2284,f933,f12115]) ).
fof(f12115,plain,
( spl71_928
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK45(X1))) = app(tl(X0),sK45(X1))
| ~ ssList(X0)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_928])]) ).
fof(f2318,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK45(X1))) = app(tl(X0),sK45(X1))
| ~ ssList(X0)
| sP10(X1) )
| ~ spl71_60
| ~ spl71_210 ),
inference(resolution,[],[f2285,f934]) ).
fof(f12113,plain,
( spl71_927
| ~ spl71_57
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2317,f2284,f921,f12111]) ).
fof(f12111,plain,
( spl71_927
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK42(X1))) = app(tl(X0),sK42(X1))
| ~ ssList(X0)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_927])]) ).
fof(f2317,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK42(X1))) = app(tl(X0),sK42(X1))
| ~ ssList(X0)
| sP8(X1) )
| ~ spl71_57
| ~ spl71_210 ),
inference(resolution,[],[f2285,f922]) ).
fof(f12109,plain,
( spl71_926
| ~ spl71_56
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2316,f2284,f917,f12107]) ).
fof(f12107,plain,
( spl71_926
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK41(X1))) = app(tl(X0),sK41(X1))
| ~ ssList(X0)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_926])]) ).
fof(f2316,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK41(X1))) = app(tl(X0),sK41(X1))
| ~ ssList(X0)
| sP8(X1) )
| ~ spl71_56
| ~ spl71_210 ),
inference(resolution,[],[f2285,f918]) ).
fof(f12105,plain,
( spl71_925
| ~ spl71_55
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2315,f2284,f913,f12103]) ).
fof(f12103,plain,
( spl71_925
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK40(X1))) = app(tl(X0),sK40(X1))
| ~ ssList(X0)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_925])]) ).
fof(f2315,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK40(X1))) = app(tl(X0),sK40(X1))
| ~ ssList(X0)
| sP8(X1) )
| ~ spl71_55
| ~ spl71_210 ),
inference(resolution,[],[f2285,f914]) ).
fof(f12101,plain,
( spl71_924
| ~ spl71_52
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2314,f2284,f901,f12099]) ).
fof(f12099,plain,
( spl71_924
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK37(X1))) = app(tl(X0),sK37(X1))
| ~ ssList(X0)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_924])]) ).
fof(f2314,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK37(X1))) = app(tl(X0),sK37(X1))
| ~ ssList(X0)
| sP6(X1) )
| ~ spl71_52
| ~ spl71_210 ),
inference(resolution,[],[f2285,f902]) ).
fof(f12097,plain,
( spl71_923
| ~ spl71_51
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2313,f2284,f897,f12095]) ).
fof(f12095,plain,
( spl71_923
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK36(X1))) = app(tl(X0),sK36(X1))
| ~ ssList(X0)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_923])]) ).
fof(f2313,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK36(X1))) = app(tl(X0),sK36(X1))
| ~ ssList(X0)
| sP6(X1) )
| ~ spl71_51
| ~ spl71_210 ),
inference(resolution,[],[f2285,f898]) ).
fof(f12093,plain,
( spl71_922
| ~ spl71_49
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2312,f2284,f888,f12091]) ).
fof(f12091,plain,
( spl71_922
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK35(X1))) = app(tl(X0),sK35(X1))
| ~ ssList(X0)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_922])]) ).
fof(f2312,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK35(X1))) = app(tl(X0),sK35(X1))
| ~ ssList(X0)
| sP6(X1) )
| ~ spl71_49
| ~ spl71_210 ),
inference(resolution,[],[f2285,f889]) ).
fof(f12089,plain,
( spl71_921
| ~ spl71_46
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2311,f2284,f876,f12087]) ).
fof(f12087,plain,
( spl71_921
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK32(X1))) = app(tl(X0),sK32(X1))
| ~ ssList(X0)
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_921])]) ).
fof(f2311,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK32(X1))) = app(tl(X0),sK32(X1))
| ~ ssList(X0)
| sP4(X1) )
| ~ spl71_46
| ~ spl71_210 ),
inference(resolution,[],[f2285,f877]) ).
fof(f12085,plain,
( spl71_920
| ~ spl71_45
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2310,f2284,f872,f12083]) ).
fof(f12083,plain,
( spl71_920
<=> ! [X0,X1] :
( nil = X0
| tl(app(X0,sK31(X1))) = app(tl(X0),sK31(X1))
| ~ ssList(X0)
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_920])]) ).
fof(f2310,plain,
( ! [X0,X1] :
( nil = X0
| tl(app(X0,sK31(X1))) = app(tl(X0),sK31(X1))
| ~ ssList(X0)
| sP4(X1) )
| ~ spl71_45
| ~ spl71_210 ),
inference(resolution,[],[f2285,f873]) ).
fof(f12081,plain,
( spl71_919
| ~ spl71_192
| ~ spl71_209 ),
inference(avatar_split_clause,[],[f2280,f2249,f2045,f12079]) ).
fof(f12079,plain,
( spl71_919
<=> ! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_919])]) ).
fof(f2280,plain,
( ! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl71_192
| ~ spl71_209 ),
inference(duplicate_literal_removal,[],[f2277]) ).
fof(f2277,plain,
( ! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) )
| ~ spl71_192
| ~ spl71_209 ),
inference(resolution,[],[f2250,f2046]) ).
fof(f12077,plain,
( spl71_918
| ~ spl71_17
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3047,f2983,f725,f12074]) ).
fof(f12074,plain,
( spl71_918
<=> sK23 = tl(cons(sK69,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_918])]) ).
fof(f3047,plain,
( sK23 = tl(cons(sK69,sK23))
| ~ spl71_17
| ~ spl71_260 ),
inference(resolution,[],[f2984,f727]) ).
fof(f12072,plain,
( spl71_917
| ~ spl71_191
| ~ spl71_208 ),
inference(avatar_split_clause,[],[f2272,f2245,f2041,f12070]) ).
fof(f12070,plain,
( spl71_917
<=> ! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_917])]) ).
fof(f2272,plain,
( ! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl71_191
| ~ spl71_208 ),
inference(duplicate_literal_removal,[],[f2269]) ).
fof(f2269,plain,
( ! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) )
| ~ spl71_191
| ~ spl71_208 ),
inference(resolution,[],[f2246,f2042]) ).
fof(f12068,plain,
( spl71_916
| ~ spl71_126
| ~ spl71_203 ),
inference(avatar_split_clause,[],[f2259,f2225,f1352,f12066]) ).
fof(f12066,plain,
( spl71_916
<=> ! [X0,X1] :
( leq(X0,sK48(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(sK48(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_916])]) ).
fof(f1352,plain,
( spl71_126
<=> ! [X0] :
( sP12(X0)
| leq(sK49(X0),sK48(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_126])]) ).
fof(f2259,plain,
( ! [X0,X1] :
( leq(X0,sK48(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(sK48(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(X0)
| sP12(X1) )
| ~ spl71_126
| ~ spl71_203 ),
inference(resolution,[],[f2226,f1353]) ).
fof(f1353,plain,
( ! [X0] :
( leq(sK49(X0),sK48(X0))
| sP12(X0) )
| ~ spl71_126 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f12064,plain,
( spl71_915
| ~ spl71_125
| ~ spl71_203 ),
inference(avatar_split_clause,[],[f2258,f2225,f1348,f12062]) ).
fof(f12062,plain,
( spl71_915
<=> ! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK48(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(sK48(X1))
| ~ ssItem(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_915])]) ).
fof(f1348,plain,
( spl71_125
<=> ! [X0] :
( sP12(X0)
| leq(sK48(X0),sK49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_125])]) ).
fof(f2258,plain,
( ! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK48(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(sK48(X1))
| ~ ssItem(X0)
| sP12(X1) )
| ~ spl71_125
| ~ spl71_203 ),
inference(resolution,[],[f2226,f1349]) ).
fof(f1349,plain,
( ! [X0] :
( leq(sK48(X0),sK49(X0))
| sP12(X0) )
| ~ spl71_125 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f12060,plain,
( spl71_914
| ~ spl71_138
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2163,f2130,f1450,f12058]) ).
fof(f12058,plain,
( spl71_914
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK27(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_914])]) ).
fof(f2163,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK27(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_138
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1451]) ).
fof(f12056,plain,
( spl71_913
| ~ spl71_133
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2162,f2130,f1430,f12054]) ).
fof(f12054,plain,
( spl71_913
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK24(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_913])]) ).
fof(f2162,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK24(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_133
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1431]) ).
fof(f12052,plain,
( spl71_912
| ~ spl71_136
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2158,f2130,f1442,f12050]) ).
fof(f12050,plain,
( spl71_912
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,tl(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_912])]) ).
fof(f2158,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,tl(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) )
| ~ spl71_136
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1443]) ).
fof(f12048,plain,
( spl71_911
| ~ spl71_144
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2156,f2130,f1475,f12046]) ).
fof(f12046,plain,
( spl71_911
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,app(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_911])]) ).
fof(f2156,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,app(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_144
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1476]) ).
fof(f12044,plain,
( spl71_910
| ~ spl71_143
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2155,f2130,f1471,f12042]) ).
fof(f12042,plain,
( spl71_910
<=> ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_910])]) ).
fof(f2155,plain,
( ! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl71_143
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1472]) ).
fof(f12040,plain,
( spl71_909
| ~ spl71_190
| ~ spl71_192 ),
inference(avatar_split_clause,[],[f2116,f2045,f2037,f12038]) ).
fof(f12038,plain,
( spl71_909
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_909])]) ).
fof(f2116,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0)) )
| ~ spl71_190
| ~ spl71_192 ),
inference(duplicate_literal_removal,[],[f2113]) ).
fof(f2113,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1) )
| ~ spl71_190
| ~ spl71_192 ),
inference(resolution,[],[f2046,f2038]) ).
fof(f12036,plain,
( spl71_908
| ~ spl71_188
| ~ spl71_191 ),
inference(avatar_split_clause,[],[f2112,f2041,f2029,f12034]) ).
fof(f12034,plain,
( spl71_908
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_908])]) ).
fof(f2112,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1)) )
| ~ spl71_188
| ~ spl71_191 ),
inference(duplicate_literal_removal,[],[f2109]) ).
fof(f2109,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ spl71_188
| ~ spl71_191 ),
inference(resolution,[],[f2042,f2030]) ).
fof(f12023,plain,
( spl71_907
| ~ spl71_138
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2068,f2025,f1450,f12021]) ).
fof(f12021,plain,
( spl71_907
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK27(X1)) = app(cons(X0,nil),sK27(X1))
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_907])]) ).
fof(f2068,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK27(X1)) = app(cons(X0,nil),sK27(X1))
| nil = X1
| ~ ssList(X1) )
| ~ spl71_138
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1451]) ).
fof(f12019,plain,
( spl71_906
| ~ spl71_133
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2067,f2025,f1430,f12017]) ).
fof(f12017,plain,
( spl71_906
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK24(X1)) = app(cons(X0,nil),sK24(X1))
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_906])]) ).
fof(f2067,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK24(X1)) = app(cons(X0,nil),sK24(X1))
| nil = X1
| ~ ssList(X1) )
| ~ spl71_133
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1431]) ).
fof(f12015,plain,
( spl71_905
| ~ spl71_136
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2063,f2025,f1442,f12013]) ).
fof(f12013,plain,
( spl71_905
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_905])]) ).
fof(f2063,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
| nil = X1
| ~ ssList(X1) )
| ~ spl71_136
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1443]) ).
fof(f12011,plain,
( spl71_904
| ~ spl71_126
| ~ spl71_186 ),
inference(avatar_split_clause,[],[f2058,f2019,f1352,f12009]) ).
fof(f12009,plain,
( spl71_904
<=> ! [X0] :
( sK48(X0) = sK49(X0)
| ~ leq(sK48(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK48(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_904])]) ).
fof(f2058,plain,
( ! [X0] :
( sK48(X0) = sK49(X0)
| ~ leq(sK48(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK48(X0))
| sP12(X0) )
| ~ spl71_126
| ~ spl71_186 ),
inference(resolution,[],[f2020,f1353]) ).
fof(f12007,plain,
( spl71_903
| ~ spl71_125
| ~ spl71_186 ),
inference(avatar_split_clause,[],[f2057,f2019,f1348,f12005]) ).
fof(f12005,plain,
( spl71_903
<=> ! [X0] :
( sK48(X0) = sK49(X0)
| ~ leq(sK49(X0),sK48(X0))
| ~ ssItem(sK48(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_903])]) ).
fof(f2057,plain,
( ! [X0] :
( sK48(X0) = sK49(X0)
| ~ leq(sK49(X0),sK48(X0))
| ~ ssItem(sK48(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) )
| ~ spl71_125
| ~ spl71_186 ),
inference(resolution,[],[f2020,f1349]) ).
fof(f12003,plain,
( spl71_902
| ~ spl71_126
| ~ spl71_184 ),
inference(avatar_split_clause,[],[f2051,f2011,f1352,f12001]) ).
fof(f12001,plain,
( spl71_902
<=> ! [X0] :
( sK48(X0) = sK49(X0)
| lt(sK49(X0),sK48(X0))
| ~ ssItem(sK48(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_902])]) ).
fof(f2051,plain,
( ! [X0] :
( sK48(X0) = sK49(X0)
| lt(sK49(X0),sK48(X0))
| ~ ssItem(sK48(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) )
| ~ spl71_126
| ~ spl71_184 ),
inference(resolution,[],[f2012,f1353]) ).
fof(f11999,plain,
( spl71_901
| ~ spl71_125
| ~ spl71_184 ),
inference(avatar_split_clause,[],[f2050,f2011,f1348,f11997]) ).
fof(f11997,plain,
( spl71_901
<=> ! [X0] :
( sK48(X0) = sK49(X0)
| lt(sK48(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK48(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_901])]) ).
fof(f2050,plain,
( ! [X0] :
( sK48(X0) = sK49(X0)
| lt(sK48(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK48(X0))
| sP12(X0) )
| ~ spl71_125
| ~ spl71_184 ),
inference(resolution,[],[f2012,f1349]) ).
fof(f11995,plain,
( spl71_900
| ~ spl71_144
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1705,f1627,f1475,f11993]) ).
fof(f11993,plain,
( spl71_900
<=> ! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK27(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_900])]) ).
fof(f1705,plain,
( ! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK27(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_144
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1476]) ).
fof(f11991,plain,
( spl71_899
| ~ spl71_143
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1704,f1627,f1471,f11989]) ).
fof(f11989,plain,
( spl71_899
<=> ! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_899])]) ).
fof(f1704,plain,
( ! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl71_143
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1472]) ).
fof(f11987,plain,
( spl71_898
| ~ spl71_144
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1676,f1623,f1475,f11985]) ).
fof(f11985,plain,
( spl71_898
<=> ! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK26(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_898])]) ).
fof(f1676,plain,
( ! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK26(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_144
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1476]) ).
fof(f11983,plain,
( spl71_897
| ~ spl71_256
| ~ spl71_889 ),
inference(avatar_split_clause,[],[f11866,f11829,f2949,f11980]) ).
fof(f11866,plain,
( sK23 = sK27(sK20)
| ~ spl71_256
| ~ spl71_889 ),
inference(superposition,[],[f11831,f2951]) ).
fof(f11978,plain,
( spl71_896
| ~ spl71_143
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1675,f1623,f1471,f11976]) ).
fof(f11976,plain,
( spl71_896
<=> ! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK26(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_896])]) ).
fof(f1675,plain,
( ! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK26(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl71_143
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1472]) ).
fof(f11891,plain,
( spl71_895
| ~ spl71_169
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1902,f1820,f1639,f11889]) ).
fof(f11889,plain,
( spl71_895
<=> ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK68(X0,X1))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_895])]) ).
fof(f1639,plain,
( spl71_169
<=> ! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_169])]) ).
fof(f1902,plain,
( ! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK68(X0,X1))) = X2 )
| ~ spl71_169
| ~ spl71_177 ),
inference(resolution,[],[f1821,f1640]) ).
fof(f1640,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 )
| ~ spl71_169 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f11887,plain,
( spl71_894
| ~ spl71_169
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1889,f1816,f1639,f11885]) ).
fof(f11885,plain,
( spl71_894
<=> ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_894])]) ).
fof(f1889,plain,
( ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 )
| ~ spl71_169
| ~ spl71_176 ),
inference(resolution,[],[f1817,f1640]) ).
fof(f11883,plain,
( spl71_893
| ~ spl71_169
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1876,f1812,f1639,f11881]) ).
fof(f11881,plain,
( spl71_893
<=> ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_893])]) ).
fof(f1876,plain,
( ! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 )
| ~ spl71_169
| ~ spl71_175 ),
inference(resolution,[],[f1813,f1640]) ).
fof(f11865,plain,
( spl71_892
| ~ spl71_169
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1863,f1808,f1639,f11863]) ).
fof(f11863,plain,
( spl71_892
<=> ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_892])]) ).
fof(f1863,plain,
( ! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 )
| ~ spl71_169
| ~ spl71_174 ),
inference(resolution,[],[f1809,f1640]) ).
fof(f11861,plain,
( spl71_891
| ~ spl71_169
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1850,f1804,f1639,f11859]) ).
fof(f11859,plain,
( spl71_891
<=> ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_891])]) ).
fof(f1850,plain,
( ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 )
| ~ spl71_169
| ~ spl71_173 ),
inference(resolution,[],[f1805,f1640]) ).
fof(f11857,plain,
( spl71_890
| ~ spl71_169
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1835,f1800,f1639,f11855]) ).
fof(f11855,plain,
( spl71_890
<=> ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK63(X0,X1))) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_890])]) ).
fof(f1835,plain,
( ! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK63(X0,X1))) = X2 )
| ~ spl71_169
| ~ spl71_172 ),
inference(resolution,[],[f1801,f1640]) ).
fof(f11832,plain,
( spl71_889
| ~ spl71_835
| ~ spl71_888 ),
inference(avatar_split_clause,[],[f11795,f11791,f10956,f11829]) ).
fof(f11795,plain,
( sK23 = tl(sK20)
| ~ spl71_835
| ~ spl71_888 ),
inference(forward_demodulation,[],[f11793,f10958]) ).
fof(f11794,plain,
( spl71_888
| ~ spl71_4
| ~ spl71_260 ),
inference(avatar_split_clause,[],[f3029,f2983,f661,f11791]) ).
fof(f3029,plain,
( sK23 = tl(cons(sK22,sK23))
| ~ spl71_4
| ~ spl71_260 ),
inference(resolution,[],[f2984,f663]) ).
fof(f11760,plain,
( spl71_887
| ~ spl71_18
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3024,f2974,f730,f11757]) ).
fof(f11757,plain,
( spl71_887
<=> sK20 = tl(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_887])]) ).
fof(f3024,plain,
( sK20 = tl(cons(sK70,sK20))
| ~ spl71_18
| ~ spl71_258 ),
inference(resolution,[],[f2975,f732]) ).
fof(f11723,plain,
( spl71_886
| ~ spl71_17
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3023,f2974,f725,f11720]) ).
fof(f11720,plain,
( spl71_886
<=> sK20 = tl(cons(sK69,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_886])]) ).
fof(f3023,plain,
( sK20 = tl(cons(sK69,sK20))
| ~ spl71_17
| ~ spl71_258 ),
inference(resolution,[],[f2975,f727]) ).
fof(f11608,plain,
( spl71_885
| ~ spl71_4
| ~ spl71_258 ),
inference(avatar_split_clause,[],[f3005,f2974,f661,f11605]) ).
fof(f11605,plain,
( spl71_885
<=> sK20 = tl(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_885])]) ).
fof(f3005,plain,
( sK20 = tl(cons(sK22,sK20))
| ~ spl71_4
| ~ spl71_258 ),
inference(resolution,[],[f2975,f663]) ).
fof(f11208,plain,
( spl71_884
| ~ spl71_79
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1997,f1916,f1011,f11206]) ).
fof(f11206,plain,
( spl71_884
<=> ! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(hd(sK62(X0)),tl(sK62(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_884])]) ).
fof(f1997,plain,
( ! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(hd(sK62(X0)),tl(sK62(X0)))
| sP16(X0) )
| ~ spl71_79
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1012]) ).
fof(f11204,plain,
( spl71_883
| ~ spl71_78
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1996,f1916,f1007,f11202]) ).
fof(f11202,plain,
( spl71_883
<=> ! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(hd(sK61(X0)),tl(sK61(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_883])]) ).
fof(f1996,plain,
( ! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(hd(sK61(X0)),tl(sK61(X0)))
| sP16(X0) )
| ~ spl71_78
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1008]) ).
fof(f11200,plain,
( spl71_882
| ~ spl71_77
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1995,f1916,f1003,f11198]) ).
fof(f11198,plain,
( spl71_882
<=> ! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_882])]) ).
fof(f1995,plain,
( ! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
| sP16(X0) )
| ~ spl71_77
| ~ spl71_181 ),
inference(resolution,[],[f1917,f1004]) ).
fof(f11196,plain,
( spl71_881
| ~ spl71_74
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1994,f1916,f991,f11194]) ).
fof(f11194,plain,
( spl71_881
<=> ! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(hd(sK57(X0)),tl(sK57(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_881])]) ).
fof(f1994,plain,
( ! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(hd(sK57(X0)),tl(sK57(X0)))
| sP14(X0) )
| ~ spl71_74
| ~ spl71_181 ),
inference(resolution,[],[f1917,f992]) ).
fof(f11192,plain,
( spl71_880
| ~ spl71_73
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1993,f1916,f987,f11190]) ).
fof(f11190,plain,
( spl71_880
<=> ! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(hd(sK56(X0)),tl(sK56(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_880])]) ).
fof(f1993,plain,
( ! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(hd(sK56(X0)),tl(sK56(X0)))
| sP14(X0) )
| ~ spl71_73
| ~ spl71_181 ),
inference(resolution,[],[f1917,f988]) ).
fof(f11188,plain,
( spl71_879
| ~ spl71_71
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1992,f1916,f978,f11186]) ).
fof(f11186,plain,
( spl71_879
<=> ! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_879])]) ).
fof(f1992,plain,
( ! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
| sP14(X0) )
| ~ spl71_71
| ~ spl71_181 ),
inference(resolution,[],[f1917,f979]) ).
fof(f11184,plain,
( spl71_878
| ~ spl71_68
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1991,f1916,f966,f11182]) ).
fof(f11182,plain,
( spl71_878
<=> ! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(hd(sK52(X0)),tl(sK52(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_878])]) ).
fof(f1991,plain,
( ! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(hd(sK52(X0)),tl(sK52(X0)))
| sP12(X0) )
| ~ spl71_68
| ~ spl71_181 ),
inference(resolution,[],[f1917,f967]) ).
fof(f11179,plain,
( spl71_877
| ~ spl71_67
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1990,f1916,f962,f11177]) ).
fof(f11177,plain,
( spl71_877
<=> ! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(hd(sK51(X0)),tl(sK51(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_877])]) ).
fof(f1990,plain,
( ! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(hd(sK51(X0)),tl(sK51(X0)))
| sP12(X0) )
| ~ spl71_67
| ~ spl71_181 ),
inference(resolution,[],[f1917,f963]) ).
fof(f11175,plain,
( spl71_876
| ~ spl71_66
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1989,f1916,f958,f11173]) ).
fof(f11173,plain,
( spl71_876
<=> ! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_876])]) ).
fof(f1989,plain,
( ! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
| sP12(X0) )
| ~ spl71_66
| ~ spl71_181 ),
inference(resolution,[],[f1917,f959]) ).
fof(f11171,plain,
( spl71_875
| ~ spl71_63
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1988,f1916,f946,f11169]) ).
fof(f11169,plain,
( spl71_875
<=> ! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(hd(sK47(X0)),tl(sK47(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_875])]) ).
fof(f1988,plain,
( ! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(hd(sK47(X0)),tl(sK47(X0)))
| sP10(X0) )
| ~ spl71_63
| ~ spl71_181 ),
inference(resolution,[],[f1917,f947]) ).
fof(f11167,plain,
( spl71_874
| ~ spl71_62
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1987,f1916,f942,f11165]) ).
fof(f11165,plain,
( spl71_874
<=> ! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(hd(sK46(X0)),tl(sK46(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_874])]) ).
fof(f1987,plain,
( ! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(hd(sK46(X0)),tl(sK46(X0)))
| sP10(X0) )
| ~ spl71_62
| ~ spl71_181 ),
inference(resolution,[],[f1917,f943]) ).
fof(f11163,plain,
( spl71_873
| ~ spl71_60
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1986,f1916,f933,f11161]) ).
fof(f11161,plain,
( spl71_873
<=> ! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_873])]) ).
fof(f1986,plain,
( ! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
| sP10(X0) )
| ~ spl71_60
| ~ spl71_181 ),
inference(resolution,[],[f1917,f934]) ).
fof(f11159,plain,
( spl71_872
| ~ spl71_57
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1985,f1916,f921,f11157]) ).
fof(f11157,plain,
( spl71_872
<=> ! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(hd(sK42(X0)),tl(sK42(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_872])]) ).
fof(f1985,plain,
( ! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(hd(sK42(X0)),tl(sK42(X0)))
| sP8(X0) )
| ~ spl71_57
| ~ spl71_181 ),
inference(resolution,[],[f1917,f922]) ).
fof(f11155,plain,
( spl71_871
| ~ spl71_56
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1984,f1916,f917,f11153]) ).
fof(f11153,plain,
( spl71_871
<=> ! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(hd(sK41(X0)),tl(sK41(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_871])]) ).
fof(f1984,plain,
( ! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(hd(sK41(X0)),tl(sK41(X0)))
| sP8(X0) )
| ~ spl71_56
| ~ spl71_181 ),
inference(resolution,[],[f1917,f918]) ).
fof(f11151,plain,
( spl71_870
| ~ spl71_55
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1983,f1916,f913,f11149]) ).
fof(f11149,plain,
( spl71_870
<=> ! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_870])]) ).
fof(f1983,plain,
( ! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
| sP8(X0) )
| ~ spl71_55
| ~ spl71_181 ),
inference(resolution,[],[f1917,f914]) ).
fof(f11147,plain,
( spl71_869
| ~ spl71_52
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1982,f1916,f901,f11145]) ).
fof(f11145,plain,
( spl71_869
<=> ! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(hd(sK37(X0)),tl(sK37(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_869])]) ).
fof(f1982,plain,
( ! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(hd(sK37(X0)),tl(sK37(X0)))
| sP6(X0) )
| ~ spl71_52
| ~ spl71_181 ),
inference(resolution,[],[f1917,f902]) ).
fof(f11143,plain,
( spl71_868
| ~ spl71_51
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1981,f1916,f897,f11141]) ).
fof(f11141,plain,
( spl71_868
<=> ! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(hd(sK36(X0)),tl(sK36(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_868])]) ).
fof(f1981,plain,
( ! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(hd(sK36(X0)),tl(sK36(X0)))
| sP6(X0) )
| ~ spl71_51
| ~ spl71_181 ),
inference(resolution,[],[f1917,f898]) ).
fof(f11139,plain,
( spl71_867
| ~ spl71_119
| spl71_467 ),
inference(avatar_split_clause,[],[f5084,f4999,f1323,f11136]) ).
fof(f11136,plain,
( spl71_867
<=> sK33(sK23) = sK34(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_867])]) ).
fof(f5084,plain,
( sK33(sK23) = sK34(sK23)
| ~ spl71_119
| spl71_467 ),
inference(resolution,[],[f5000,f1324]) ).
fof(f11134,plain,
( spl71_866
| ~ spl71_49
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1980,f1916,f888,f11132]) ).
fof(f11132,plain,
( spl71_866
<=> ! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_866])]) ).
fof(f1980,plain,
( ! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
| sP6(X0) )
| ~ spl71_49
| ~ spl71_181 ),
inference(resolution,[],[f1917,f889]) ).
fof(f11130,plain,
( spl71_865
| ~ spl71_46
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1979,f1916,f876,f11128]) ).
fof(f11128,plain,
( spl71_865
<=> ! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(hd(sK32(X0)),tl(sK32(X0)))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_865])]) ).
fof(f1979,plain,
( ! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(hd(sK32(X0)),tl(sK32(X0)))
| sP4(X0) )
| ~ spl71_46
| ~ spl71_181 ),
inference(resolution,[],[f1917,f877]) ).
fof(f11126,plain,
( spl71_864
| ~ spl71_45
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1978,f1916,f872,f11124]) ).
fof(f11124,plain,
( spl71_864
<=> ! [X0] :
( nil = sK31(X0)
| sK31(X0) = cons(hd(sK31(X0)),tl(sK31(X0)))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_864])]) ).
fof(f1978,plain,
( ! [X0] :
( nil = sK31(X0)
| sK31(X0) = cons(hd(sK31(X0)),tl(sK31(X0)))
| sP4(X0) )
| ~ spl71_45
| ~ spl71_181 ),
inference(resolution,[],[f1917,f873]) ).
fof(f11122,plain,
( spl71_863
| ~ spl71_79
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1962,f1912,f1011,f11120]) ).
fof(f11120,plain,
( spl71_863
<=> ! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(sK25(sK62(X0)),sK24(sK62(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_863])]) ).
fof(f1962,plain,
( ! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(sK25(sK62(X0)),sK24(sK62(X0)))
| sP16(X0) )
| ~ spl71_79
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1012]) ).
fof(f11118,plain,
( spl71_862
| ~ spl71_78
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1961,f1912,f1007,f11116]) ).
fof(f11116,plain,
( spl71_862
<=> ! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(sK25(sK61(X0)),sK24(sK61(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_862])]) ).
fof(f1961,plain,
( ! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(sK25(sK61(X0)),sK24(sK61(X0)))
| sP16(X0) )
| ~ spl71_78
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1008]) ).
fof(f11114,plain,
( spl71_861
| ~ spl71_77
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1960,f1912,f1003,f11112]) ).
fof(f11112,plain,
( spl71_861
<=> ! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(sK25(sK60(X0)),sK24(sK60(X0)))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_861])]) ).
fof(f1960,plain,
( ! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(sK25(sK60(X0)),sK24(sK60(X0)))
| sP16(X0) )
| ~ spl71_77
| ~ spl71_180 ),
inference(resolution,[],[f1913,f1004]) ).
fof(f11110,plain,
( spl71_860
| ~ spl71_74
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1959,f1912,f991,f11108]) ).
fof(f11108,plain,
( spl71_860
<=> ! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(sK25(sK57(X0)),sK24(sK57(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_860])]) ).
fof(f1959,plain,
( ! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(sK25(sK57(X0)),sK24(sK57(X0)))
| sP14(X0) )
| ~ spl71_74
| ~ spl71_180 ),
inference(resolution,[],[f1913,f992]) ).
fof(f11106,plain,
( spl71_859
| ~ spl71_73
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1958,f1912,f987,f11104]) ).
fof(f11104,plain,
( spl71_859
<=> ! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(sK25(sK56(X0)),sK24(sK56(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_859])]) ).
fof(f1958,plain,
( ! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(sK25(sK56(X0)),sK24(sK56(X0)))
| sP14(X0) )
| ~ spl71_73
| ~ spl71_180 ),
inference(resolution,[],[f1913,f988]) ).
fof(f11102,plain,
( spl71_858
| ~ spl71_71
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1957,f1912,f978,f11100]) ).
fof(f11100,plain,
( spl71_858
<=> ! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(sK25(sK55(X0)),sK24(sK55(X0)))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_858])]) ).
fof(f1957,plain,
( ! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(sK25(sK55(X0)),sK24(sK55(X0)))
| sP14(X0) )
| ~ spl71_71
| ~ spl71_180 ),
inference(resolution,[],[f1913,f979]) ).
fof(f11098,plain,
( spl71_857
| ~ spl71_68
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1956,f1912,f966,f11096]) ).
fof(f11096,plain,
( spl71_857
<=> ! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(sK25(sK52(X0)),sK24(sK52(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_857])]) ).
fof(f1956,plain,
( ! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(sK25(sK52(X0)),sK24(sK52(X0)))
| sP12(X0) )
| ~ spl71_68
| ~ spl71_180 ),
inference(resolution,[],[f1913,f967]) ).
fof(f11094,plain,
( spl71_856
| ~ spl71_119
| spl71_414 ),
inference(avatar_split_clause,[],[f4865,f4780,f1323,f11091]) ).
fof(f11091,plain,
( spl71_856
<=> sK33(sK20) = sK34(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_856])]) ).
fof(f4865,plain,
( sK33(sK20) = sK34(sK20)
| ~ spl71_119
| spl71_414 ),
inference(resolution,[],[f4782,f1324]) ).
fof(f11089,plain,
( spl71_855
| ~ spl71_67
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1955,f1912,f962,f11087]) ).
fof(f11087,plain,
( spl71_855
<=> ! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(sK25(sK51(X0)),sK24(sK51(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_855])]) ).
fof(f1955,plain,
( ! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(sK25(sK51(X0)),sK24(sK51(X0)))
| sP12(X0) )
| ~ spl71_67
| ~ spl71_180 ),
inference(resolution,[],[f1913,f963]) ).
fof(f11085,plain,
( spl71_854
| ~ spl71_66
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1954,f1912,f958,f11083]) ).
fof(f11083,plain,
( spl71_854
<=> ! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(sK25(sK50(X0)),sK24(sK50(X0)))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_854])]) ).
fof(f1954,plain,
( ! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(sK25(sK50(X0)),sK24(sK50(X0)))
| sP12(X0) )
| ~ spl71_66
| ~ spl71_180 ),
inference(resolution,[],[f1913,f959]) ).
fof(f11081,plain,
( spl71_853
| ~ spl71_63
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1953,f1912,f946,f11079]) ).
fof(f11079,plain,
( spl71_853
<=> ! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(sK25(sK47(X0)),sK24(sK47(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_853])]) ).
fof(f1953,plain,
( ! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(sK25(sK47(X0)),sK24(sK47(X0)))
| sP10(X0) )
| ~ spl71_63
| ~ spl71_180 ),
inference(resolution,[],[f1913,f947]) ).
fof(f11077,plain,
( spl71_852
| ~ spl71_62
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1952,f1912,f942,f11075]) ).
fof(f11075,plain,
( spl71_852
<=> ! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(sK25(sK46(X0)),sK24(sK46(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_852])]) ).
fof(f1952,plain,
( ! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(sK25(sK46(X0)),sK24(sK46(X0)))
| sP10(X0) )
| ~ spl71_62
| ~ spl71_180 ),
inference(resolution,[],[f1913,f943]) ).
fof(f11073,plain,
( spl71_851
| ~ spl71_60
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1951,f1912,f933,f11071]) ).
fof(f11071,plain,
( spl71_851
<=> ! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(sK25(sK45(X0)),sK24(sK45(X0)))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_851])]) ).
fof(f1951,plain,
( ! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(sK25(sK45(X0)),sK24(sK45(X0)))
| sP10(X0) )
| ~ spl71_60
| ~ spl71_180 ),
inference(resolution,[],[f1913,f934]) ).
fof(f11069,plain,
( spl71_850
| ~ spl71_57
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1950,f1912,f921,f11067]) ).
fof(f11067,plain,
( spl71_850
<=> ! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(sK25(sK42(X0)),sK24(sK42(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_850])]) ).
fof(f1950,plain,
( ! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(sK25(sK42(X0)),sK24(sK42(X0)))
| sP8(X0) )
| ~ spl71_57
| ~ spl71_180 ),
inference(resolution,[],[f1913,f922]) ).
fof(f11065,plain,
( spl71_849
| ~ spl71_56
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1949,f1912,f917,f11063]) ).
fof(f11063,plain,
( spl71_849
<=> ! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(sK25(sK41(X0)),sK24(sK41(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_849])]) ).
fof(f1949,plain,
( ! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(sK25(sK41(X0)),sK24(sK41(X0)))
| sP8(X0) )
| ~ spl71_56
| ~ spl71_180 ),
inference(resolution,[],[f1913,f918]) ).
fof(f11061,plain,
( spl71_848
| ~ spl71_55
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1948,f1912,f913,f11059]) ).
fof(f11059,plain,
( spl71_848
<=> ! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(sK25(sK40(X0)),sK24(sK40(X0)))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_848])]) ).
fof(f1948,plain,
( ! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(sK25(sK40(X0)),sK24(sK40(X0)))
| sP8(X0) )
| ~ spl71_55
| ~ spl71_180 ),
inference(resolution,[],[f1913,f914]) ).
fof(f11057,plain,
( spl71_847
| ~ spl71_52
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1947,f1912,f901,f11055]) ).
fof(f11055,plain,
( spl71_847
<=> ! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(sK25(sK37(X0)),sK24(sK37(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_847])]) ).
fof(f1947,plain,
( ! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(sK25(sK37(X0)),sK24(sK37(X0)))
| sP6(X0) )
| ~ spl71_52
| ~ spl71_180 ),
inference(resolution,[],[f1913,f902]) ).
fof(f11053,plain,
( spl71_846
| ~ spl71_51
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1946,f1912,f897,f11051]) ).
fof(f11051,plain,
( spl71_846
<=> ! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(sK25(sK36(X0)),sK24(sK36(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_846])]) ).
fof(f1946,plain,
( ! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(sK25(sK36(X0)),sK24(sK36(X0)))
| sP6(X0) )
| ~ spl71_51
| ~ spl71_180 ),
inference(resolution,[],[f1913,f898]) ).
fof(f10999,plain,
( spl71_845
| ~ spl71_49
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1945,f1912,f888,f10997]) ).
fof(f10997,plain,
( spl71_845
<=> ! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(sK25(sK35(X0)),sK24(sK35(X0)))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_845])]) ).
fof(f1945,plain,
( ! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(sK25(sK35(X0)),sK24(sK35(X0)))
| sP6(X0) )
| ~ spl71_49
| ~ spl71_180 ),
inference(resolution,[],[f1913,f889]) ).
fof(f10995,plain,
( spl71_844
| ~ spl71_46
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1944,f1912,f876,f10993]) ).
fof(f10993,plain,
( spl71_844
<=> ! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(sK25(sK32(X0)),sK24(sK32(X0)))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_844])]) ).
fof(f1944,plain,
( ! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(sK25(sK32(X0)),sK24(sK32(X0)))
| sP4(X0) )
| ~ spl71_46
| ~ spl71_180 ),
inference(resolution,[],[f1913,f877]) ).
fof(f10991,plain,
( spl71_843
| ~ spl71_45
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1943,f1912,f872,f10989]) ).
fof(f10989,plain,
( spl71_843
<=> ! [X0] :
( nil = sK31(X0)
| sK31(X0) = cons(sK25(sK31(X0)),sK24(sK31(X0)))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_843])]) ).
fof(f1943,plain,
( ! [X0] :
( nil = sK31(X0)
| sK31(X0) = cons(sK25(sK31(X0)),sK24(sK31(X0)))
| sP4(X0) )
| ~ spl71_45
| ~ spl71_180 ),
inference(resolution,[],[f1913,f873]) ).
fof(f10987,plain,
( spl71_842
| ~ spl71_116
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1898,f1820,f1311,f10985]) ).
fof(f10985,plain,
( spl71_842
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(nil,sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_842])]) ).
fof(f1898,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(nil,sK68(X0,X1)) )
| ~ spl71_116
| ~ spl71_177 ),
inference(resolution,[],[f1821,f1312]) ).
fof(f10983,plain,
( spl71_841
| ~ spl71_115
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1897,f1820,f1307,f10981]) ).
fof(f10981,plain,
( spl71_841
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(sK68(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_841])]) ).
fof(f1897,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(sK68(X0,X1),nil) )
| ~ spl71_115
| ~ spl71_177 ),
inference(resolution,[],[f1821,f1308]) ).
fof(f10979,plain,
( spl71_840
| ~ spl71_116
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1885,f1816,f1311,f10977]) ).
fof(f10977,plain,
( spl71_840
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(nil,sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_840])]) ).
fof(f1885,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(nil,sK67(X0,X1)) )
| ~ spl71_116
| ~ spl71_176 ),
inference(resolution,[],[f1817,f1312]) ).
fof(f10975,plain,
( spl71_839
| ~ spl71_115
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1884,f1816,f1307,f10973]) ).
fof(f10973,plain,
( spl71_839
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(sK67(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_839])]) ).
fof(f1884,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(sK67(X0,X1),nil) )
| ~ spl71_115
| ~ spl71_176 ),
inference(resolution,[],[f1817,f1308]) ).
fof(f10971,plain,
( spl71_838
| ~ spl71_116
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1872,f1812,f1311,f10969]) ).
fof(f10969,plain,
( spl71_838
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_838])]) ).
fof(f1872,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) )
| ~ spl71_116
| ~ spl71_175 ),
inference(resolution,[],[f1813,f1312]) ).
fof(f10967,plain,
( spl71_837
| ~ spl71_115
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1871,f1812,f1307,f10965]) ).
fof(f10965,plain,
( spl71_837
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_837])]) ).
fof(f1871,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) )
| ~ spl71_115
| ~ spl71_175 ),
inference(resolution,[],[f1813,f1308]) ).
fof(f10963,plain,
( spl71_836
| ~ spl71_116
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1859,f1808,f1311,f10961]) ).
fof(f10961,plain,
( spl71_836
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_836])]) ).
fof(f1859,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) )
| ~ spl71_116
| ~ spl71_174 ),
inference(resolution,[],[f1809,f1312]) ).
fof(f10959,plain,
( spl71_835
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_278 ),
inference(avatar_split_clause,[],[f4538,f3248,f735,f671,f661,f10956]) ).
fof(f4538,plain,
( sK20 = cons(sK22,sK23)
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_278 ),
inference(forward_demodulation,[],[f4537,f673]) ).
fof(f10954,plain,
( spl71_834
| ~ spl71_115
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1858,f1808,f1307,f10952]) ).
fof(f10952,plain,
( spl71_834
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_834])]) ).
fof(f1858,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) )
| ~ spl71_115
| ~ spl71_174 ),
inference(resolution,[],[f1809,f1308]) ).
fof(f10950,plain,
( spl71_833
| ~ spl71_116
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1846,f1804,f1311,f10948]) ).
fof(f10948,plain,
( spl71_833
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(nil,sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_833])]) ).
fof(f1846,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(nil,sK64(X0,X1)) )
| ~ spl71_116
| ~ spl71_173 ),
inference(resolution,[],[f1805,f1312]) ).
fof(f10946,plain,
( spl71_832
| ~ spl71_115
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1845,f1804,f1307,f10944]) ).
fof(f10944,plain,
( spl71_832
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(sK64(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_832])]) ).
fof(f1845,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(sK64(X0,X1),nil) )
| ~ spl71_115
| ~ spl71_173 ),
inference(resolution,[],[f1805,f1308]) ).
fof(f10942,plain,
( spl71_831
| ~ spl71_116
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1831,f1800,f1311,f10940]) ).
fof(f10940,plain,
( spl71_831
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(nil,sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_831])]) ).
fof(f1831,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(nil,sK63(X0,X1)) )
| ~ spl71_116
| ~ spl71_172 ),
inference(resolution,[],[f1801,f1312]) ).
fof(f10938,plain,
( spl71_830
| ~ spl71_115
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1830,f1800,f1307,f10936]) ).
fof(f10936,plain,
( spl71_830
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(sK63(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_830])]) ).
fof(f1830,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(sK63(X0,X1),nil) )
| ~ spl71_115
| ~ spl71_172 ),
inference(resolution,[],[f1801,f1308]) ).
fof(f10934,plain,
( spl71_829
| ~ spl71_144
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1734,f1635,f1475,f10932]) ).
fof(f10932,plain,
( spl71_829
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_829])]) ).
fof(f1734,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_144
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1476]) ).
fof(f10930,plain,
( spl71_828
| ~ spl71_143
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1733,f1635,f1471,f10928]) ).
fof(f10928,plain,
( spl71_828
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_828])]) ).
fof(f1733,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl71_143
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1472]) ).
fof(f10926,plain,
( spl71_827
| ~ spl71_138
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1712,f1627,f1450,f10924]) ).
fof(f10924,plain,
( spl71_827
<=> ! [X0] :
( nil = sK27(X0)
| tl(sK27(X0)) = sK27(sK27(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_827])]) ).
fof(f1712,plain,
( ! [X0] :
( nil = sK27(X0)
| tl(sK27(X0)) = sK27(sK27(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_138
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1451]) ).
fof(f10922,plain,
( spl71_826
| ~ spl71_133
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1711,f1627,f1430,f10920]) ).
fof(f10920,plain,
( spl71_826
<=> ! [X0] :
( nil = sK24(X0)
| tl(sK24(X0)) = sK27(sK24(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_826])]) ).
fof(f1711,plain,
( ! [X0] :
( nil = sK24(X0)
| tl(sK24(X0)) = sK27(sK24(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_133
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1431]) ).
fof(f10918,plain,
( spl71_825
| ~ spl71_136
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1707,f1627,f1442,f10916]) ).
fof(f10916,plain,
( spl71_825
<=> ! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK27(tl(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_825])]) ).
fof(f1707,plain,
( ! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK27(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_136
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1443]) ).
fof(f10914,plain,
( spl71_255
| ~ spl71_16
| ~ spl71_244
| ~ spl71_325 ),
inference(avatar_split_clause,[],[f3936,f3932,f2634,f720,f2901]) ).
fof(f3932,plain,
( spl71_325
<=> ! [X0] :
( sK20 != app(X0,sK20)
| ~ ssList(X0)
| sK23 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_325])]) ).
fof(f3936,plain,
( ~ ssList(nil)
| nil = sK23
| ~ spl71_244
| ~ spl71_325 ),
inference(trivial_inequality_removal,[],[f3935]) ).
fof(f3935,plain,
( sK20 != sK20
| ~ ssList(nil)
| nil = sK23
| ~ spl71_244
| ~ spl71_325 ),
inference(superposition,[],[f3933,f2636]) ).
fof(f3933,plain,
( ! [X0] :
( sK20 != app(X0,sK20)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_325 ),
inference(avatar_component_clause,[],[f3932]) ).
fof(f10913,plain,
( spl71_824
| ~ spl71_138
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1683,f1623,f1450,f10911]) ).
fof(f10911,plain,
( spl71_824
<=> ! [X0] :
( nil = sK27(X0)
| hd(sK27(X0)) = sK26(sK27(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_824])]) ).
fof(f1683,plain,
( ! [X0] :
( nil = sK27(X0)
| hd(sK27(X0)) = sK26(sK27(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_138
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1451]) ).
fof(f10909,plain,
( spl71_823
| ~ spl71_133
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1682,f1623,f1430,f10907]) ).
fof(f10907,plain,
( spl71_823
<=> ! [X0] :
( nil = sK24(X0)
| hd(sK24(X0)) = sK26(sK24(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_823])]) ).
fof(f1682,plain,
( ! [X0] :
( nil = sK24(X0)
| hd(sK24(X0)) = sK26(sK24(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_133
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1431]) ).
fof(f10905,plain,
( spl71_822
| ~ spl71_136
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1678,f1623,f1442,f10903]) ).
fof(f10903,plain,
( spl71_822
<=> ! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK26(tl(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_822])]) ).
fof(f1678,plain,
( ! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK26(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_136
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1443]) ).
fof(f10593,plain,
( spl71_255
| ~ spl71_16
| ~ spl71_241
| ~ spl71_327 ),
inference(avatar_split_clause,[],[f3949,f3945,f2619,f720,f2901]) ).
fof(f3945,plain,
( spl71_327
<=> ! [X0] :
( sK20 != app(sK20,X0)
| ~ ssList(X0)
| sK23 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_327])]) ).
fof(f3949,plain,
( ~ ssList(nil)
| nil = sK23
| ~ spl71_241
| ~ spl71_327 ),
inference(trivial_inequality_removal,[],[f3948]) ).
fof(f3948,plain,
( sK20 != sK20
| ~ ssList(nil)
| nil = sK23
| ~ spl71_241
| ~ spl71_327 ),
inference(superposition,[],[f3946,f2621]) ).
fof(f3946,plain,
( ! [X0] :
( sK20 != app(sK20,X0)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_327 ),
inference(avatar_component_clause,[],[f3945]) ).
fof(f9824,plain,
( spl71_821
| ~ spl71_5
| ~ spl71_38
| ~ spl71_300 ),
inference(avatar_split_clause,[],[f3537,f3532,f843,f666,f9821]) ).
fof(f9821,plain,
( spl71_821
<=> frontsegP(sK20,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_821])]) ).
fof(f843,plain,
( spl71_38
<=> ! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_38])]) ).
fof(f3537,plain,
( ~ ssList(sK23)
| frontsegP(sK20,sK23)
| ~ spl71_38
| ~ spl71_300 ),
inference(duplicate_literal_removal,[],[f3535]) ).
fof(f3535,plain,
( ~ ssList(sK23)
| frontsegP(sK20,sK23)
| ~ ssList(sK23)
| ~ spl71_38
| ~ spl71_300 ),
inference(resolution,[],[f3533,f844]) ).
fof(f844,plain,
( ! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) )
| ~ spl71_38 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f9368,plain,
( spl71_820
| ~ spl71_5
| ~ spl71_42
| ~ spl71_299 ),
inference(avatar_split_clause,[],[f3527,f3522,f860,f666,f9365]) ).
fof(f9365,plain,
( spl71_820
<=> rearsegP(sK20,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_820])]) ).
fof(f860,plain,
( spl71_42
<=> ! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_42])]) ).
fof(f3527,plain,
( ~ ssList(sK23)
| rearsegP(sK20,sK23)
| ~ spl71_42
| ~ spl71_299 ),
inference(duplicate_literal_removal,[],[f3526]) ).
fof(f3526,plain,
( ~ ssList(sK23)
| rearsegP(sK20,sK23)
| ~ ssList(sK23)
| ~ spl71_42
| ~ spl71_299 ),
inference(resolution,[],[f3523,f861]) ).
fof(f861,plain,
( ! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) )
| ~ spl71_42 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f9305,plain,
( ~ spl71_16
| spl71_819
| ~ spl71_36
| ~ spl71_227 ),
inference(avatar_split_clause,[],[f2528,f2488,f835,f9303,f720]) ).
fof(f9303,plain,
( spl71_819
<=> ! [X0] :
( app(app(sK66(X0,nil),nil),sK67(X0,nil)) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_819])]) ).
fof(f835,plain,
( spl71_36
<=> ! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_36])]) ).
fof(f2528,plain,
( ! [X0] :
( app(app(sK66(X0,nil),nil),sK67(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl71_36
| ~ spl71_227 ),
inference(duplicate_literal_removal,[],[f2525]) ).
fof(f2525,plain,
( ! [X0] :
( app(app(sK66(X0,nil),nil),sK67(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl71_36
| ~ spl71_227 ),
inference(resolution,[],[f2489,f836]) ).
fof(f836,plain,
( ! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) )
| ~ spl71_36 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f9301,plain,
( spl71_818
| ~ spl71_16
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2416,f2366,f720,f9299]) ).
fof(f9299,plain,
( spl71_818
<=> ! [X0,X1] :
( app(app(X0,X1),nil) = app(X0,app(X1,nil))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_818])]) ).
fof(f2416,plain,
( ! [X0,X1] :
( app(app(X0,X1),nil) = app(X0,app(X1,nil))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_16
| ~ spl71_217 ),
inference(resolution,[],[f2367,f722]) ).
fof(f9297,plain,
( spl71_817
| ~ spl71_16
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2381,f2360,f720,f9295]) ).
fof(f9295,plain,
( spl71_817
<=> ! [X0,X1] :
( ~ ssItem(X0)
| app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_817])]) ).
fof(f2381,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
| ~ ssList(X1) )
| ~ spl71_16
| ~ spl71_216 ),
inference(resolution,[],[f2361,f722]) ).
fof(f9293,plain,
( spl71_816
| ~ spl71_79
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2183,f2130,f1011,f9291]) ).
fof(f9291,plain,
( spl71_816
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK62(X1)))
| ~ ssList(X0)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_816])]) ).
fof(f2183,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK62(X1)))
| ~ ssList(X0)
| sP16(X1) )
| ~ spl71_79
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1012]) ).
fof(f9289,plain,
( spl71_815
| ~ spl71_78
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2182,f2130,f1007,f9287]) ).
fof(f9287,plain,
( spl71_815
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK61(X1)))
| ~ ssList(X0)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_815])]) ).
fof(f2182,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK61(X1)))
| ~ ssList(X0)
| sP16(X1) )
| ~ spl71_78
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1008]) ).
fof(f9285,plain,
( spl71_814
| ~ spl71_77
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2181,f2130,f1003,f9283]) ).
fof(f9283,plain,
( spl71_814
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK60(X1)))
| ~ ssList(X0)
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_814])]) ).
fof(f2181,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK60(X1)))
| ~ ssList(X0)
| sP16(X1) )
| ~ spl71_77
| ~ spl71_196 ),
inference(resolution,[],[f2131,f1004]) ).
fof(f9281,plain,
( spl71_813
| ~ spl71_74
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2180,f2130,f991,f9279]) ).
fof(f9279,plain,
( spl71_813
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK57(X1)))
| ~ ssList(X0)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_813])]) ).
fof(f2180,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK57(X1)))
| ~ ssList(X0)
| sP14(X1) )
| ~ spl71_74
| ~ spl71_196 ),
inference(resolution,[],[f2131,f992]) ).
fof(f9275,plain,
( spl71_812
| ~ spl71_73
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2179,f2130,f987,f9273]) ).
fof(f9273,plain,
( spl71_812
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK56(X1)))
| ~ ssList(X0)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_812])]) ).
fof(f2179,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK56(X1)))
| ~ ssList(X0)
| sP14(X1) )
| ~ spl71_73
| ~ spl71_196 ),
inference(resolution,[],[f2131,f988]) ).
fof(f9271,plain,
( spl71_811
| ~ spl71_71
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2178,f2130,f978,f9269]) ).
fof(f9269,plain,
( spl71_811
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK55(X1)))
| ~ ssList(X0)
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_811])]) ).
fof(f2178,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK55(X1)))
| ~ ssList(X0)
| sP14(X1) )
| ~ spl71_71
| ~ spl71_196 ),
inference(resolution,[],[f2131,f979]) ).
fof(f9267,plain,
( spl71_810
| ~ spl71_68
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2177,f2130,f966,f9265]) ).
fof(f9265,plain,
( spl71_810
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK52(X1)))
| ~ ssList(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_810])]) ).
fof(f2177,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK52(X1)))
| ~ ssList(X0)
| sP12(X1) )
| ~ spl71_68
| ~ spl71_196 ),
inference(resolution,[],[f2131,f967]) ).
fof(f9263,plain,
( spl71_809
| ~ spl71_67
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2176,f2130,f962,f9261]) ).
fof(f9261,plain,
( spl71_809
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK51(X1)))
| ~ ssList(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_809])]) ).
fof(f2176,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK51(X1)))
| ~ ssList(X0)
| sP12(X1) )
| ~ spl71_67
| ~ spl71_196 ),
inference(resolution,[],[f2131,f963]) ).
fof(f9259,plain,
( spl71_808
| ~ spl71_66
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2175,f2130,f958,f9257]) ).
fof(f9257,plain,
( spl71_808
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK50(X1)))
| ~ ssList(X0)
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_808])]) ).
fof(f2175,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK50(X1)))
| ~ ssList(X0)
| sP12(X1) )
| ~ spl71_66
| ~ spl71_196 ),
inference(resolution,[],[f2131,f959]) ).
fof(f9255,plain,
( spl71_807
| ~ spl71_63
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2174,f2130,f946,f9253]) ).
fof(f9253,plain,
( spl71_807
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK47(X1)))
| ~ ssList(X0)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_807])]) ).
fof(f2174,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK47(X1)))
| ~ ssList(X0)
| sP10(X1) )
| ~ spl71_63
| ~ spl71_196 ),
inference(resolution,[],[f2131,f947]) ).
fof(f9251,plain,
( spl71_806
| ~ spl71_62
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2173,f2130,f942,f9249]) ).
fof(f9249,plain,
( spl71_806
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK46(X1)))
| ~ ssList(X0)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_806])]) ).
fof(f2173,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK46(X1)))
| ~ ssList(X0)
| sP10(X1) )
| ~ spl71_62
| ~ spl71_196 ),
inference(resolution,[],[f2131,f943]) ).
fof(f9247,plain,
( spl71_805
| ~ spl71_60
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2172,f2130,f933,f9245]) ).
fof(f9245,plain,
( spl71_805
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK45(X1)))
| ~ ssList(X0)
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_805])]) ).
fof(f2172,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK45(X1)))
| ~ ssList(X0)
| sP10(X1) )
| ~ spl71_60
| ~ spl71_196 ),
inference(resolution,[],[f2131,f934]) ).
fof(f9243,plain,
( spl71_804
| ~ spl71_57
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2171,f2130,f921,f9241]) ).
fof(f9241,plain,
( spl71_804
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK42(X1)))
| ~ ssList(X0)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_804])]) ).
fof(f2171,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK42(X1)))
| ~ ssList(X0)
| sP8(X1) )
| ~ spl71_57
| ~ spl71_196 ),
inference(resolution,[],[f2131,f922]) ).
fof(f9239,plain,
( spl71_803
| ~ spl71_56
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2170,f2130,f917,f9237]) ).
fof(f9237,plain,
( spl71_803
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK41(X1)))
| ~ ssList(X0)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_803])]) ).
fof(f2170,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK41(X1)))
| ~ ssList(X0)
| sP8(X1) )
| ~ spl71_56
| ~ spl71_196 ),
inference(resolution,[],[f2131,f918]) ).
fof(f9233,plain,
( spl71_802
| ~ spl71_55
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2169,f2130,f913,f9231]) ).
fof(f9231,plain,
( spl71_802
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK40(X1)))
| ~ ssList(X0)
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_802])]) ).
fof(f2169,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK40(X1)))
| ~ ssList(X0)
| sP8(X1) )
| ~ spl71_55
| ~ spl71_196 ),
inference(resolution,[],[f2131,f914]) ).
fof(f9229,plain,
( spl71_801
| ~ spl71_52
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2168,f2130,f901,f9227]) ).
fof(f9227,plain,
( spl71_801
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK37(X1)))
| ~ ssList(X0)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_801])]) ).
fof(f2168,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK37(X1)))
| ~ ssList(X0)
| sP6(X1) )
| ~ spl71_52
| ~ spl71_196 ),
inference(resolution,[],[f2131,f902]) ).
fof(f9225,plain,
( spl71_800
| ~ spl71_51
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2167,f2130,f897,f9223]) ).
fof(f9223,plain,
( spl71_800
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK36(X1)))
| ~ ssList(X0)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_800])]) ).
fof(f2167,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK36(X1)))
| ~ ssList(X0)
| sP6(X1) )
| ~ spl71_51
| ~ spl71_196 ),
inference(resolution,[],[f2131,f898]) ).
fof(f9221,plain,
( spl71_799
| ~ spl71_49
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2166,f2130,f888,f9219]) ).
fof(f9219,plain,
( spl71_799
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK35(X1)))
| ~ ssList(X0)
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_799])]) ).
fof(f2166,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK35(X1)))
| ~ ssList(X0)
| sP6(X1) )
| ~ spl71_49
| ~ spl71_196 ),
inference(resolution,[],[f2131,f889]) ).
fof(f9217,plain,
( spl71_798
| ~ spl71_46
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2165,f2130,f876,f9215]) ).
fof(f9215,plain,
( spl71_798
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK32(X1)))
| ~ ssList(X0)
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_798])]) ).
fof(f2165,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK32(X1)))
| ~ ssList(X0)
| sP4(X1) )
| ~ spl71_46
| ~ spl71_196 ),
inference(resolution,[],[f2131,f877]) ).
fof(f9213,plain,
( spl71_797
| ~ spl71_45
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2164,f2130,f872,f9211]) ).
fof(f9211,plain,
( spl71_797
<=> ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK31(X1)))
| ~ ssList(X0)
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_797])]) ).
fof(f2164,plain,
( ! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK31(X1)))
| ~ ssList(X0)
| sP4(X1) )
| ~ spl71_45
| ~ spl71_196 ),
inference(resolution,[],[f2131,f873]) ).
fof(f9209,plain,
( spl71_796
| ~ spl71_79
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2088,f2025,f1011,f9207]) ).
fof(f9207,plain,
( spl71_796
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK62(X1)) = app(cons(X0,nil),sK62(X1))
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_796])]) ).
fof(f2088,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK62(X1)) = app(cons(X0,nil),sK62(X1))
| sP16(X1) )
| ~ spl71_79
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1012]) ).
fof(f9205,plain,
( spl71_795
| ~ spl71_78
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2087,f2025,f1007,f9203]) ).
fof(f9203,plain,
( spl71_795
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK61(X1)) = app(cons(X0,nil),sK61(X1))
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_795])]) ).
fof(f2087,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK61(X1)) = app(cons(X0,nil),sK61(X1))
| sP16(X1) )
| ~ spl71_78
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1008]) ).
fof(f9201,plain,
( spl71_794
| ~ spl71_77
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2086,f2025,f1003,f9199]) ).
fof(f9199,plain,
( spl71_794
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK60(X1)) = app(cons(X0,nil),sK60(X1))
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_794])]) ).
fof(f2086,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK60(X1)) = app(cons(X0,nil),sK60(X1))
| sP16(X1) )
| ~ spl71_77
| ~ spl71_187 ),
inference(resolution,[],[f2026,f1004]) ).
fof(f9197,plain,
( spl71_793
| ~ spl71_74
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2085,f2025,f991,f9195]) ).
fof(f9195,plain,
( spl71_793
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK57(X1)) = app(cons(X0,nil),sK57(X1))
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_793])]) ).
fof(f2085,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK57(X1)) = app(cons(X0,nil),sK57(X1))
| sP14(X1) )
| ~ spl71_74
| ~ spl71_187 ),
inference(resolution,[],[f2026,f992]) ).
fof(f9191,plain,
( spl71_792
| ~ spl71_73
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2084,f2025,f987,f9189]) ).
fof(f9189,plain,
( spl71_792
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK56(X1)) = app(cons(X0,nil),sK56(X1))
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_792])]) ).
fof(f2084,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK56(X1)) = app(cons(X0,nil),sK56(X1))
| sP14(X1) )
| ~ spl71_73
| ~ spl71_187 ),
inference(resolution,[],[f2026,f988]) ).
fof(f9187,plain,
( spl71_791
| ~ spl71_71
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2083,f2025,f978,f9185]) ).
fof(f9185,plain,
( spl71_791
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK55(X1)) = app(cons(X0,nil),sK55(X1))
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_791])]) ).
fof(f2083,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK55(X1)) = app(cons(X0,nil),sK55(X1))
| sP14(X1) )
| ~ spl71_71
| ~ spl71_187 ),
inference(resolution,[],[f2026,f979]) ).
fof(f9183,plain,
( spl71_790
| ~ spl71_68
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2082,f2025,f966,f9181]) ).
fof(f9181,plain,
( spl71_790
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK52(X1)) = app(cons(X0,nil),sK52(X1))
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_790])]) ).
fof(f2082,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK52(X1)) = app(cons(X0,nil),sK52(X1))
| sP12(X1) )
| ~ spl71_68
| ~ spl71_187 ),
inference(resolution,[],[f2026,f967]) ).
fof(f9179,plain,
( spl71_789
| ~ spl71_67
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2081,f2025,f962,f9177]) ).
fof(f9177,plain,
( spl71_789
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK51(X1)) = app(cons(X0,nil),sK51(X1))
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_789])]) ).
fof(f2081,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK51(X1)) = app(cons(X0,nil),sK51(X1))
| sP12(X1) )
| ~ spl71_67
| ~ spl71_187 ),
inference(resolution,[],[f2026,f963]) ).
fof(f9175,plain,
( spl71_788
| ~ spl71_66
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2080,f2025,f958,f9173]) ).
fof(f9173,plain,
( spl71_788
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK50(X1)) = app(cons(X0,nil),sK50(X1))
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_788])]) ).
fof(f2080,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK50(X1)) = app(cons(X0,nil),sK50(X1))
| sP12(X1) )
| ~ spl71_66
| ~ spl71_187 ),
inference(resolution,[],[f2026,f959]) ).
fof(f9171,plain,
( spl71_787
| ~ spl71_63
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2079,f2025,f946,f9169]) ).
fof(f9169,plain,
( spl71_787
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK47(X1)) = app(cons(X0,nil),sK47(X1))
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_787])]) ).
fof(f2079,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK47(X1)) = app(cons(X0,nil),sK47(X1))
| sP10(X1) )
| ~ spl71_63
| ~ spl71_187 ),
inference(resolution,[],[f2026,f947]) ).
fof(f9167,plain,
( spl71_786
| ~ spl71_62
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2078,f2025,f942,f9165]) ).
fof(f9165,plain,
( spl71_786
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK46(X1)) = app(cons(X0,nil),sK46(X1))
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_786])]) ).
fof(f2078,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK46(X1)) = app(cons(X0,nil),sK46(X1))
| sP10(X1) )
| ~ spl71_62
| ~ spl71_187 ),
inference(resolution,[],[f2026,f943]) ).
fof(f9163,plain,
( spl71_785
| ~ spl71_60
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2077,f2025,f933,f9161]) ).
fof(f9161,plain,
( spl71_785
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK45(X1)) = app(cons(X0,nil),sK45(X1))
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_785])]) ).
fof(f2077,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK45(X1)) = app(cons(X0,nil),sK45(X1))
| sP10(X1) )
| ~ spl71_60
| ~ spl71_187 ),
inference(resolution,[],[f2026,f934]) ).
fof(f9159,plain,
( spl71_784
| ~ spl71_57
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2076,f2025,f921,f9157]) ).
fof(f9157,plain,
( spl71_784
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK42(X1)) = app(cons(X0,nil),sK42(X1))
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_784])]) ).
fof(f2076,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK42(X1)) = app(cons(X0,nil),sK42(X1))
| sP8(X1) )
| ~ spl71_57
| ~ spl71_187 ),
inference(resolution,[],[f2026,f922]) ).
fof(f9155,plain,
( spl71_783
| ~ spl71_56
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2075,f2025,f917,f9153]) ).
fof(f9153,plain,
( spl71_783
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK41(X1)) = app(cons(X0,nil),sK41(X1))
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_783])]) ).
fof(f2075,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK41(X1)) = app(cons(X0,nil),sK41(X1))
| sP8(X1) )
| ~ spl71_56
| ~ spl71_187 ),
inference(resolution,[],[f2026,f918]) ).
fof(f9149,plain,
( spl71_782
| ~ spl71_55
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2074,f2025,f913,f9147]) ).
fof(f9147,plain,
( spl71_782
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK40(X1)) = app(cons(X0,nil),sK40(X1))
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_782])]) ).
fof(f2074,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK40(X1)) = app(cons(X0,nil),sK40(X1))
| sP8(X1) )
| ~ spl71_55
| ~ spl71_187 ),
inference(resolution,[],[f2026,f914]) ).
fof(f9145,plain,
( spl71_781
| ~ spl71_52
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2073,f2025,f901,f9143]) ).
fof(f9143,plain,
( spl71_781
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK37(X1)) = app(cons(X0,nil),sK37(X1))
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_781])]) ).
fof(f2073,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK37(X1)) = app(cons(X0,nil),sK37(X1))
| sP6(X1) )
| ~ spl71_52
| ~ spl71_187 ),
inference(resolution,[],[f2026,f902]) ).
fof(f9141,plain,
( spl71_780
| ~ spl71_51
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2072,f2025,f897,f9139]) ).
fof(f9139,plain,
( spl71_780
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK36(X1)) = app(cons(X0,nil),sK36(X1))
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_780])]) ).
fof(f2072,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK36(X1)) = app(cons(X0,nil),sK36(X1))
| sP6(X1) )
| ~ spl71_51
| ~ spl71_187 ),
inference(resolution,[],[f2026,f898]) ).
fof(f9137,plain,
( spl71_779
| ~ spl71_49
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2071,f2025,f888,f9135]) ).
fof(f9135,plain,
( spl71_779
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK35(X1)) = app(cons(X0,nil),sK35(X1))
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_779])]) ).
fof(f2071,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK35(X1)) = app(cons(X0,nil),sK35(X1))
| sP6(X1) )
| ~ spl71_49
| ~ spl71_187 ),
inference(resolution,[],[f2026,f889]) ).
fof(f9133,plain,
( spl71_778
| ~ spl71_46
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2070,f2025,f876,f9131]) ).
fof(f9131,plain,
( spl71_778
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK32(X1)) = app(cons(X0,nil),sK32(X1))
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_778])]) ).
fof(f2070,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK32(X1)) = app(cons(X0,nil),sK32(X1))
| sP4(X1) )
| ~ spl71_46
| ~ spl71_187 ),
inference(resolution,[],[f2026,f877]) ).
fof(f9129,plain,
( spl71_777
| ~ spl71_45
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2069,f2025,f872,f9127]) ).
fof(f9127,plain,
( spl71_777
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK31(X1)) = app(cons(X0,nil),sK31(X1))
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_777])]) ).
fof(f2069,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK31(X1)) = app(cons(X0,nil),sK31(X1))
| sP4(X1) )
| ~ spl71_45
| ~ spl71_187 ),
inference(resolution,[],[f2026,f873]) ).
fof(f9125,plain,
( spl71_776
| ~ spl71_138
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1741,f1635,f1450,f9123]) ).
fof(f9123,plain,
( spl71_776
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK27(X1) = tl(cons(X0,sK27(X1)))
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_776])]) ).
fof(f1741,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK27(X1) = tl(cons(X0,sK27(X1)))
| nil = X1
| ~ ssList(X1) )
| ~ spl71_138
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1451]) ).
fof(f9121,plain,
( spl71_775
| ~ spl71_133
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1740,f1635,f1430,f9119]) ).
fof(f9119,plain,
( spl71_775
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK24(X1) = tl(cons(X0,sK24(X1)))
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_775])]) ).
fof(f1740,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK24(X1) = tl(cons(X0,sK24(X1)))
| nil = X1
| ~ ssList(X1) )
| ~ spl71_133
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1431]) ).
fof(f9117,plain,
( spl71_774
| ~ spl71_136
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1736,f1635,f1442,f9115]) ).
fof(f9115,plain,
( spl71_774
<=> ! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_774])]) ).
fof(f1736,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) )
| ~ spl71_136
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1443]) ).
fof(f9113,plain,
( spl71_773
| ~ spl71_151
| ~ spl71_164 ),
inference(avatar_split_clause,[],[f1674,f1619,f1566,f9111]) ).
fof(f9111,plain,
( spl71_773
<=> ! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_773])]) ).
fof(f1566,plain,
( spl71_151
<=> ! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_151])]) ).
fof(f1674,plain,
( ! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) )
| ~ spl71_151
| ~ spl71_164 ),
inference(resolution,[],[f1620,f1567]) ).
fof(f1567,plain,
( ! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_151 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f9107,plain,
( spl71_772
| ~ spl71_154
| ~ spl71_164 ),
inference(avatar_split_clause,[],[f1673,f1619,f1578,f9105]) ).
fof(f9105,plain,
( spl71_772
<=> ! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| gt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_772])]) ).
fof(f1578,plain,
( spl71_154
<=> ! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_154])]) ).
fof(f1673,plain,
( ! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| gt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) )
| ~ spl71_154
| ~ spl71_164 ),
inference(resolution,[],[f1620,f1579]) ).
fof(f1579,plain,
( ! [X0,X1] :
( ~ lt(X1,X0)
| gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_154 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f9103,plain,
( spl71_771
| ~ spl71_157
| ~ spl71_164 ),
inference(avatar_split_clause,[],[f1672,f1619,f1590,f9101]) ).
fof(f9101,plain,
( spl71_771
<=> ! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_771])]) ).
fof(f1590,plain,
( spl71_157
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_157])]) ).
fof(f1672,plain,
( ! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) )
| ~ spl71_157
| ~ spl71_164 ),
inference(resolution,[],[f1620,f1591]) ).
fof(f1591,plain,
( ! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_157 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f9099,plain,
( spl71_770
| ~ spl71_156
| ~ spl71_161 ),
inference(avatar_split_clause,[],[f1667,f1607,f1586,f9097]) ).
fof(f9097,plain,
( spl71_770
<=> ! [X0,X1] :
( nil = X0
| ~ sP0(X0,X1)
| geq(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_770])]) ).
fof(f1586,plain,
( spl71_156
<=> ! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_156])]) ).
fof(f1667,plain,
( ! [X0,X1] :
( nil = X0
| ~ sP0(X0,X1)
| geq(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) )
| ~ spl71_156
| ~ spl71_161 ),
inference(resolution,[],[f1608,f1587]) ).
fof(f1587,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) )
| ~ spl71_156 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f8848,plain,
( spl71_769
| ~ spl71_16
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2303,f2284,f720,f8846]) ).
fof(f8846,plain,
( spl71_769
<=> ! [X0] :
( nil = X0
| app(tl(X0),nil) = tl(app(X0,nil))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_769])]) ).
fof(f2303,plain,
( ! [X0] :
( nil = X0
| app(tl(X0),nil) = tl(app(X0,nil))
| ~ ssList(X0) )
| ~ spl71_16
| ~ spl71_210 ),
inference(resolution,[],[f2285,f722]) ).
fof(f8842,plain,
( spl71_768
| ~ spl71_138
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1772,f1639,f1450,f8840]) ).
fof(f8840,plain,
( spl71_768
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK27(X1))) = X0
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_768])]) ).
fof(f1772,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK27(X1))) = X0
| nil = X1
| ~ ssList(X1) )
| ~ spl71_138
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1451]) ).
fof(f8838,plain,
( spl71_767
| ~ spl71_133
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1771,f1639,f1430,f8836]) ).
fof(f8836,plain,
( spl71_767
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK24(X1))) = X0
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_767])]) ).
fof(f1771,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK24(X1))) = X0
| nil = X1
| ~ ssList(X1) )
| ~ spl71_133
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1431]) ).
fof(f8834,plain,
( spl71_766
| ~ spl71_136
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1767,f1639,f1442,f8832]) ).
fof(f8832,plain,
( spl71_766
<=> ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_766])]) ).
fof(f1767,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) )
| ~ spl71_136
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1443]) ).
fof(f8830,plain,
( spl71_765
| ~ spl71_144
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1765,f1639,f1475,f8828]) ).
fof(f8828,plain,
( spl71_765
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_765])]) ).
fof(f1765,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl71_144
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1476]) ).
fof(f8826,plain,
( spl71_764
| ~ spl71_143
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1764,f1639,f1471,f8824]) ).
fof(f8824,plain,
( spl71_764
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_764])]) ).
fof(f1764,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) )
| ~ spl71_143
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1472]) ).
fof(f8488,plain,
( spl71_763
| ~ spl71_41
| ~ spl71_227 ),
inference(avatar_split_clause,[],[f2527,f2488,f856,f8486]) ).
fof(f8486,plain,
( spl71_763
<=> ! [X0] :
( app(app(sK66(X0,X0),X0),sK67(X0,X0)) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_763])]) ).
fof(f856,plain,
( spl71_41
<=> ! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_41])]) ).
fof(f2527,plain,
( ! [X0] :
( app(app(sK66(X0,X0),X0),sK67(X0,X0)) = X0
| ~ ssList(X0) )
| ~ spl71_41
| ~ spl71_227 ),
inference(duplicate_literal_removal,[],[f2526]) ).
fof(f2526,plain,
( ! [X0] :
( app(app(sK66(X0,X0),X0),sK67(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl71_41
| ~ spl71_227 ),
inference(resolution,[],[f2489,f857]) ).
fof(f857,plain,
( ! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) )
| ~ spl71_41 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f8484,plain,
( spl71_762
| ~ spl71_79
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1732,f1627,f1011,f8482]) ).
fof(f8482,plain,
( spl71_762
<=> ! [X0] :
( nil = sK62(X0)
| tl(sK62(X0)) = sK27(sK62(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_762])]) ).
fof(f1732,plain,
( ! [X0] :
( nil = sK62(X0)
| tl(sK62(X0)) = sK27(sK62(X0))
| sP16(X0) )
| ~ spl71_79
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1012]) ).
fof(f8480,plain,
( spl71_761
| ~ spl71_78
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1731,f1627,f1007,f8478]) ).
fof(f8478,plain,
( spl71_761
<=> ! [X0] :
( nil = sK61(X0)
| tl(sK61(X0)) = sK27(sK61(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_761])]) ).
fof(f1731,plain,
( ! [X0] :
( nil = sK61(X0)
| tl(sK61(X0)) = sK27(sK61(X0))
| sP16(X0) )
| ~ spl71_78
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1008]) ).
fof(f8476,plain,
( spl71_760
| ~ spl71_77
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1730,f1627,f1003,f8474]) ).
fof(f8474,plain,
( spl71_760
<=> ! [X0] :
( nil = sK60(X0)
| tl(sK60(X0)) = sK27(sK60(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_760])]) ).
fof(f1730,plain,
( ! [X0] :
( nil = sK60(X0)
| tl(sK60(X0)) = sK27(sK60(X0))
| sP16(X0) )
| ~ spl71_77
| ~ spl71_166 ),
inference(resolution,[],[f1628,f1004]) ).
fof(f8472,plain,
( spl71_759
| ~ spl71_74
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1729,f1627,f991,f8470]) ).
fof(f8470,plain,
( spl71_759
<=> ! [X0] :
( nil = sK57(X0)
| tl(sK57(X0)) = sK27(sK57(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_759])]) ).
fof(f1729,plain,
( ! [X0] :
( nil = sK57(X0)
| tl(sK57(X0)) = sK27(sK57(X0))
| sP14(X0) )
| ~ spl71_74
| ~ spl71_166 ),
inference(resolution,[],[f1628,f992]) ).
fof(f8468,plain,
( spl71_758
| ~ spl71_73
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1728,f1627,f987,f8466]) ).
fof(f8466,plain,
( spl71_758
<=> ! [X0] :
( nil = sK56(X0)
| tl(sK56(X0)) = sK27(sK56(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_758])]) ).
fof(f1728,plain,
( ! [X0] :
( nil = sK56(X0)
| tl(sK56(X0)) = sK27(sK56(X0))
| sP14(X0) )
| ~ spl71_73
| ~ spl71_166 ),
inference(resolution,[],[f1628,f988]) ).
fof(f8464,plain,
( spl71_757
| ~ spl71_71
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1727,f1627,f978,f8462]) ).
fof(f8462,plain,
( spl71_757
<=> ! [X0] :
( nil = sK55(X0)
| tl(sK55(X0)) = sK27(sK55(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_757])]) ).
fof(f1727,plain,
( ! [X0] :
( nil = sK55(X0)
| tl(sK55(X0)) = sK27(sK55(X0))
| sP14(X0) )
| ~ spl71_71
| ~ spl71_166 ),
inference(resolution,[],[f1628,f979]) ).
fof(f8460,plain,
( spl71_756
| ~ spl71_68
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1726,f1627,f966,f8458]) ).
fof(f8458,plain,
( spl71_756
<=> ! [X0] :
( nil = sK52(X0)
| tl(sK52(X0)) = sK27(sK52(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_756])]) ).
fof(f1726,plain,
( ! [X0] :
( nil = sK52(X0)
| tl(sK52(X0)) = sK27(sK52(X0))
| sP12(X0) )
| ~ spl71_68
| ~ spl71_166 ),
inference(resolution,[],[f1628,f967]) ).
fof(f8454,plain,
( spl71_755
| ~ spl71_67
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1725,f1627,f962,f8452]) ).
fof(f8452,plain,
( spl71_755
<=> ! [X0] :
( nil = sK51(X0)
| tl(sK51(X0)) = sK27(sK51(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_755])]) ).
fof(f1725,plain,
( ! [X0] :
( nil = sK51(X0)
| tl(sK51(X0)) = sK27(sK51(X0))
| sP12(X0) )
| ~ spl71_67
| ~ spl71_166 ),
inference(resolution,[],[f1628,f963]) ).
fof(f8450,plain,
( spl71_754
| ~ spl71_66
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1724,f1627,f958,f8448]) ).
fof(f8448,plain,
( spl71_754
<=> ! [X0] :
( nil = sK50(X0)
| tl(sK50(X0)) = sK27(sK50(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_754])]) ).
fof(f1724,plain,
( ! [X0] :
( nil = sK50(X0)
| tl(sK50(X0)) = sK27(sK50(X0))
| sP12(X0) )
| ~ spl71_66
| ~ spl71_166 ),
inference(resolution,[],[f1628,f959]) ).
fof(f8446,plain,
( spl71_753
| ~ spl71_63
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1723,f1627,f946,f8444]) ).
fof(f8444,plain,
( spl71_753
<=> ! [X0] :
( nil = sK47(X0)
| tl(sK47(X0)) = sK27(sK47(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_753])]) ).
fof(f1723,plain,
( ! [X0] :
( nil = sK47(X0)
| tl(sK47(X0)) = sK27(sK47(X0))
| sP10(X0) )
| ~ spl71_63
| ~ spl71_166 ),
inference(resolution,[],[f1628,f947]) ).
fof(f8442,plain,
( spl71_752
| ~ spl71_62
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1722,f1627,f942,f8440]) ).
fof(f8440,plain,
( spl71_752
<=> ! [X0] :
( nil = sK46(X0)
| tl(sK46(X0)) = sK27(sK46(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_752])]) ).
fof(f1722,plain,
( ! [X0] :
( nil = sK46(X0)
| tl(sK46(X0)) = sK27(sK46(X0))
| sP10(X0) )
| ~ spl71_62
| ~ spl71_166 ),
inference(resolution,[],[f1628,f943]) ).
fof(f8438,plain,
( spl71_751
| ~ spl71_60
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1721,f1627,f933,f8436]) ).
fof(f8436,plain,
( spl71_751
<=> ! [X0] :
( nil = sK45(X0)
| tl(sK45(X0)) = sK27(sK45(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_751])]) ).
fof(f1721,plain,
( ! [X0] :
( nil = sK45(X0)
| tl(sK45(X0)) = sK27(sK45(X0))
| sP10(X0) )
| ~ spl71_60
| ~ spl71_166 ),
inference(resolution,[],[f1628,f934]) ).
fof(f8434,plain,
( spl71_750
| ~ spl71_57
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1720,f1627,f921,f8432]) ).
fof(f8432,plain,
( spl71_750
<=> ! [X0] :
( nil = sK42(X0)
| tl(sK42(X0)) = sK27(sK42(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_750])]) ).
fof(f1720,plain,
( ! [X0] :
( nil = sK42(X0)
| tl(sK42(X0)) = sK27(sK42(X0))
| sP8(X0) )
| ~ spl71_57
| ~ spl71_166 ),
inference(resolution,[],[f1628,f922]) ).
fof(f8430,plain,
( spl71_749
| ~ spl71_56
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1719,f1627,f917,f8428]) ).
fof(f8428,plain,
( spl71_749
<=> ! [X0] :
( nil = sK41(X0)
| tl(sK41(X0)) = sK27(sK41(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_749])]) ).
fof(f1719,plain,
( ! [X0] :
( nil = sK41(X0)
| tl(sK41(X0)) = sK27(sK41(X0))
| sP8(X0) )
| ~ spl71_56
| ~ spl71_166 ),
inference(resolution,[],[f1628,f918]) ).
fof(f8426,plain,
( spl71_748
| ~ spl71_55
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1718,f1627,f913,f8424]) ).
fof(f8424,plain,
( spl71_748
<=> ! [X0] :
( nil = sK40(X0)
| tl(sK40(X0)) = sK27(sK40(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_748])]) ).
fof(f1718,plain,
( ! [X0] :
( nil = sK40(X0)
| tl(sK40(X0)) = sK27(sK40(X0))
| sP8(X0) )
| ~ spl71_55
| ~ spl71_166 ),
inference(resolution,[],[f1628,f914]) ).
fof(f8422,plain,
( spl71_747
| ~ spl71_52
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1717,f1627,f901,f8420]) ).
fof(f8420,plain,
( spl71_747
<=> ! [X0] :
( nil = sK37(X0)
| tl(sK37(X0)) = sK27(sK37(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_747])]) ).
fof(f1717,plain,
( ! [X0] :
( nil = sK37(X0)
| tl(sK37(X0)) = sK27(sK37(X0))
| sP6(X0) )
| ~ spl71_52
| ~ spl71_166 ),
inference(resolution,[],[f1628,f902]) ).
fof(f8418,plain,
( spl71_746
| ~ spl71_51
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1716,f1627,f897,f8416]) ).
fof(f8416,plain,
( spl71_746
<=> ! [X0] :
( nil = sK36(X0)
| tl(sK36(X0)) = sK27(sK36(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_746])]) ).
fof(f1716,plain,
( ! [X0] :
( nil = sK36(X0)
| tl(sK36(X0)) = sK27(sK36(X0))
| sP6(X0) )
| ~ spl71_51
| ~ spl71_166 ),
inference(resolution,[],[f1628,f898]) ).
fof(f8412,plain,
( spl71_745
| ~ spl71_49
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1715,f1627,f888,f8410]) ).
fof(f8410,plain,
( spl71_745
<=> ! [X0] :
( nil = sK35(X0)
| tl(sK35(X0)) = sK27(sK35(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_745])]) ).
fof(f1715,plain,
( ! [X0] :
( nil = sK35(X0)
| tl(sK35(X0)) = sK27(sK35(X0))
| sP6(X0) )
| ~ spl71_49
| ~ spl71_166 ),
inference(resolution,[],[f1628,f889]) ).
fof(f8408,plain,
( spl71_744
| ~ spl71_46
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1714,f1627,f876,f8406]) ).
fof(f8406,plain,
( spl71_744
<=> ! [X0] :
( nil = sK32(X0)
| tl(sK32(X0)) = sK27(sK32(X0))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_744])]) ).
fof(f1714,plain,
( ! [X0] :
( nil = sK32(X0)
| tl(sK32(X0)) = sK27(sK32(X0))
| sP4(X0) )
| ~ spl71_46
| ~ spl71_166 ),
inference(resolution,[],[f1628,f877]) ).
fof(f8404,plain,
( spl71_743
| ~ spl71_45
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1713,f1627,f872,f8402]) ).
fof(f8402,plain,
( spl71_743
<=> ! [X0] :
( nil = sK31(X0)
| tl(sK31(X0)) = sK27(sK31(X0))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_743])]) ).
fof(f1713,plain,
( ! [X0] :
( nil = sK31(X0)
| tl(sK31(X0)) = sK27(sK31(X0))
| sP4(X0) )
| ~ spl71_45
| ~ spl71_166 ),
inference(resolution,[],[f1628,f873]) ).
fof(f8400,plain,
( spl71_742
| ~ spl71_79
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1703,f1623,f1011,f8398]) ).
fof(f8398,plain,
( spl71_742
<=> ! [X0] :
( nil = sK62(X0)
| hd(sK62(X0)) = sK26(sK62(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_742])]) ).
fof(f1703,plain,
( ! [X0] :
( nil = sK62(X0)
| hd(sK62(X0)) = sK26(sK62(X0))
| sP16(X0) )
| ~ spl71_79
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1012]) ).
fof(f8396,plain,
( spl71_741
| ~ spl71_78
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1702,f1623,f1007,f8394]) ).
fof(f8394,plain,
( spl71_741
<=> ! [X0] :
( nil = sK61(X0)
| hd(sK61(X0)) = sK26(sK61(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_741])]) ).
fof(f1702,plain,
( ! [X0] :
( nil = sK61(X0)
| hd(sK61(X0)) = sK26(sK61(X0))
| sP16(X0) )
| ~ spl71_78
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1008]) ).
fof(f8392,plain,
( spl71_740
| ~ spl71_77
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1701,f1623,f1003,f8390]) ).
fof(f8390,plain,
( spl71_740
<=> ! [X0] :
( nil = sK60(X0)
| hd(sK60(X0)) = sK26(sK60(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_740])]) ).
fof(f1701,plain,
( ! [X0] :
( nil = sK60(X0)
| hd(sK60(X0)) = sK26(sK60(X0))
| sP16(X0) )
| ~ spl71_77
| ~ spl71_165 ),
inference(resolution,[],[f1624,f1004]) ).
fof(f8388,plain,
( spl71_739
| ~ spl71_74
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1700,f1623,f991,f8386]) ).
fof(f8386,plain,
( spl71_739
<=> ! [X0] :
( nil = sK57(X0)
| hd(sK57(X0)) = sK26(sK57(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_739])]) ).
fof(f1700,plain,
( ! [X0] :
( nil = sK57(X0)
| hd(sK57(X0)) = sK26(sK57(X0))
| sP14(X0) )
| ~ spl71_74
| ~ spl71_165 ),
inference(resolution,[],[f1624,f992]) ).
fof(f8384,plain,
( spl71_738
| ~ spl71_73
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1699,f1623,f987,f8382]) ).
fof(f8382,plain,
( spl71_738
<=> ! [X0] :
( nil = sK56(X0)
| hd(sK56(X0)) = sK26(sK56(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_738])]) ).
fof(f1699,plain,
( ! [X0] :
( nil = sK56(X0)
| hd(sK56(X0)) = sK26(sK56(X0))
| sP14(X0) )
| ~ spl71_73
| ~ spl71_165 ),
inference(resolution,[],[f1624,f988]) ).
fof(f8380,plain,
( spl71_737
| ~ spl71_71
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1698,f1623,f978,f8378]) ).
fof(f8378,plain,
( spl71_737
<=> ! [X0] :
( nil = sK55(X0)
| hd(sK55(X0)) = sK26(sK55(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_737])]) ).
fof(f1698,plain,
( ! [X0] :
( nil = sK55(X0)
| hd(sK55(X0)) = sK26(sK55(X0))
| sP14(X0) )
| ~ spl71_71
| ~ spl71_165 ),
inference(resolution,[],[f1624,f979]) ).
fof(f8376,plain,
( spl71_736
| ~ spl71_68
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1697,f1623,f966,f8374]) ).
fof(f8374,plain,
( spl71_736
<=> ! [X0] :
( nil = sK52(X0)
| hd(sK52(X0)) = sK26(sK52(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_736])]) ).
fof(f1697,plain,
( ! [X0] :
( nil = sK52(X0)
| hd(sK52(X0)) = sK26(sK52(X0))
| sP12(X0) )
| ~ spl71_68
| ~ spl71_165 ),
inference(resolution,[],[f1624,f967]) ).
fof(f8372,plain,
( spl71_735
| ~ spl71_30
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4305,f3448,f782,f8369]) ).
fof(f8369,plain,
( spl71_735
<=> sP17(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_735])]) ).
fof(f4305,plain,
( sP17(cons(sK22,nil))
| ~ spl71_30
| ~ spl71_292 ),
inference(resolution,[],[f3449,f783]) ).
fof(f8367,plain,
( spl71_734
| ~ spl71_67
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1696,f1623,f962,f8365]) ).
fof(f8365,plain,
( spl71_734
<=> ! [X0] :
( nil = sK51(X0)
| hd(sK51(X0)) = sK26(sK51(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_734])]) ).
fof(f1696,plain,
( ! [X0] :
( nil = sK51(X0)
| hd(sK51(X0)) = sK26(sK51(X0))
| sP12(X0) )
| ~ spl71_67
| ~ spl71_165 ),
inference(resolution,[],[f1624,f963]) ).
fof(f8363,plain,
( spl71_733
| ~ spl71_66
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1695,f1623,f958,f8361]) ).
fof(f8361,plain,
( spl71_733
<=> ! [X0] :
( nil = sK50(X0)
| hd(sK50(X0)) = sK26(sK50(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_733])]) ).
fof(f1695,plain,
( ! [X0] :
( nil = sK50(X0)
| hd(sK50(X0)) = sK26(sK50(X0))
| sP12(X0) )
| ~ spl71_66
| ~ spl71_165 ),
inference(resolution,[],[f1624,f959]) ).
fof(f8359,plain,
( spl71_732
| ~ spl71_63
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1694,f1623,f946,f8357]) ).
fof(f8357,plain,
( spl71_732
<=> ! [X0] :
( nil = sK47(X0)
| hd(sK47(X0)) = sK26(sK47(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_732])]) ).
fof(f1694,plain,
( ! [X0] :
( nil = sK47(X0)
| hd(sK47(X0)) = sK26(sK47(X0))
| sP10(X0) )
| ~ spl71_63
| ~ spl71_165 ),
inference(resolution,[],[f1624,f947]) ).
fof(f8355,plain,
( spl71_731
| ~ spl71_62
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1693,f1623,f942,f8353]) ).
fof(f8353,plain,
( spl71_731
<=> ! [X0] :
( nil = sK46(X0)
| hd(sK46(X0)) = sK26(sK46(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_731])]) ).
fof(f1693,plain,
( ! [X0] :
( nil = sK46(X0)
| hd(sK46(X0)) = sK26(sK46(X0))
| sP10(X0) )
| ~ spl71_62
| ~ spl71_165 ),
inference(resolution,[],[f1624,f943]) ).
fof(f8351,plain,
( spl71_730
| ~ spl71_60
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1692,f1623,f933,f8349]) ).
fof(f8349,plain,
( spl71_730
<=> ! [X0] :
( nil = sK45(X0)
| hd(sK45(X0)) = sK26(sK45(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_730])]) ).
fof(f1692,plain,
( ! [X0] :
( nil = sK45(X0)
| hd(sK45(X0)) = sK26(sK45(X0))
| sP10(X0) )
| ~ spl71_60
| ~ spl71_165 ),
inference(resolution,[],[f1624,f934]) ).
fof(f8347,plain,
( spl71_729
| ~ spl71_57
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1691,f1623,f921,f8345]) ).
fof(f8345,plain,
( spl71_729
<=> ! [X0] :
( nil = sK42(X0)
| hd(sK42(X0)) = sK26(sK42(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_729])]) ).
fof(f1691,plain,
( ! [X0] :
( nil = sK42(X0)
| hd(sK42(X0)) = sK26(sK42(X0))
| sP8(X0) )
| ~ spl71_57
| ~ spl71_165 ),
inference(resolution,[],[f1624,f922]) ).
fof(f8343,plain,
( spl71_728
| ~ spl71_56
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1690,f1623,f917,f8341]) ).
fof(f8341,plain,
( spl71_728
<=> ! [X0] :
( nil = sK41(X0)
| hd(sK41(X0)) = sK26(sK41(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_728])]) ).
fof(f1690,plain,
( ! [X0] :
( nil = sK41(X0)
| hd(sK41(X0)) = sK26(sK41(X0))
| sP8(X0) )
| ~ spl71_56
| ~ spl71_165 ),
inference(resolution,[],[f1624,f918]) ).
fof(f8339,plain,
( spl71_727
| ~ spl71_55
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1689,f1623,f913,f8337]) ).
fof(f8337,plain,
( spl71_727
<=> ! [X0] :
( nil = sK40(X0)
| hd(sK40(X0)) = sK26(sK40(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_727])]) ).
fof(f1689,plain,
( ! [X0] :
( nil = sK40(X0)
| hd(sK40(X0)) = sK26(sK40(X0))
| sP8(X0) )
| ~ spl71_55
| ~ spl71_165 ),
inference(resolution,[],[f1624,f914]) ).
fof(f8335,plain,
( spl71_726
| ~ spl71_52
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1688,f1623,f901,f8333]) ).
fof(f8333,plain,
( spl71_726
<=> ! [X0] :
( nil = sK37(X0)
| hd(sK37(X0)) = sK26(sK37(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_726])]) ).
fof(f1688,plain,
( ! [X0] :
( nil = sK37(X0)
| hd(sK37(X0)) = sK26(sK37(X0))
| sP6(X0) )
| ~ spl71_52
| ~ spl71_165 ),
inference(resolution,[],[f1624,f902]) ).
fof(f8331,plain,
( spl71_725
| ~ spl71_51
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1687,f1623,f897,f8329]) ).
fof(f8329,plain,
( spl71_725
<=> ! [X0] :
( nil = sK36(X0)
| hd(sK36(X0)) = sK26(sK36(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_725])]) ).
fof(f1687,plain,
( ! [X0] :
( nil = sK36(X0)
| hd(sK36(X0)) = sK26(sK36(X0))
| sP6(X0) )
| ~ spl71_51
| ~ spl71_165 ),
inference(resolution,[],[f1624,f898]) ).
fof(f8327,plain,
( spl71_724
| ~ spl71_29
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4304,f3448,f778,f8324]) ).
fof(f8324,plain,
( spl71_724
<=> sP15(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_724])]) ).
fof(f4304,plain,
( sP15(cons(sK22,nil))
| ~ spl71_29
| ~ spl71_292 ),
inference(resolution,[],[f3449,f779]) ).
fof(f8322,plain,
( spl71_723
| ~ spl71_49
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1686,f1623,f888,f8320]) ).
fof(f8320,plain,
( spl71_723
<=> ! [X0] :
( nil = sK35(X0)
| hd(sK35(X0)) = sK26(sK35(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_723])]) ).
fof(f1686,plain,
( ! [X0] :
( nil = sK35(X0)
| hd(sK35(X0)) = sK26(sK35(X0))
| sP6(X0) )
| ~ spl71_49
| ~ spl71_165 ),
inference(resolution,[],[f1624,f889]) ).
fof(f8318,plain,
( spl71_722
| ~ spl71_46
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1685,f1623,f876,f8316]) ).
fof(f8316,plain,
( spl71_722
<=> ! [X0] :
( nil = sK32(X0)
| hd(sK32(X0)) = sK26(sK32(X0))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_722])]) ).
fof(f1685,plain,
( ! [X0] :
( nil = sK32(X0)
| hd(sK32(X0)) = sK26(sK32(X0))
| sP4(X0) )
| ~ spl71_46
| ~ spl71_165 ),
inference(resolution,[],[f1624,f877]) ).
fof(f8314,plain,
( spl71_721
| ~ spl71_45
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1684,f1623,f872,f8312]) ).
fof(f8312,plain,
( spl71_721
<=> ! [X0] :
( nil = sK31(X0)
| hd(sK31(X0)) = sK26(sK31(X0))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_721])]) ).
fof(f1684,plain,
( ! [X0] :
( nil = sK31(X0)
| hd(sK31(X0)) = sK26(sK31(X0))
| sP4(X0) )
| ~ spl71_45
| ~ spl71_165 ),
inference(resolution,[],[f1624,f873]) ).
fof(f8310,plain,
( spl71_720
| ~ spl71_126
| ~ spl71_156 ),
inference(avatar_split_clause,[],[f1660,f1586,f1352,f8308]) ).
fof(f8308,plain,
( spl71_720
<=> ! [X0] :
( geq(sK48(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK48(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_720])]) ).
fof(f1660,plain,
( ! [X0] :
( geq(sK48(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK48(X0))
| sP12(X0) )
| ~ spl71_126
| ~ spl71_156 ),
inference(resolution,[],[f1587,f1353]) ).
fof(f8306,plain,
( spl71_719
| ~ spl71_125
| ~ spl71_156 ),
inference(avatar_split_clause,[],[f1659,f1586,f1348,f8304]) ).
fof(f8304,plain,
( spl71_719
<=> ! [X0] :
( geq(sK49(X0),sK48(X0))
| ~ ssItem(sK48(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_719])]) ).
fof(f1659,plain,
( ! [X0] :
( geq(sK49(X0),sK48(X0))
| ~ ssItem(sK48(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) )
| ~ spl71_125
| ~ spl71_156 ),
inference(resolution,[],[f1587,f1349]) ).
fof(f8302,plain,
( spl71_718
| ~ spl71_116
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1541,f1475,f1311,f8300]) ).
fof(f8300,plain,
( spl71_718
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_718])]) ).
fof(f1541,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) )
| ~ spl71_116
| ~ spl71_144 ),
inference(resolution,[],[f1476,f1312]) ).
fof(f8298,plain,
( spl71_717
| ~ spl71_115
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1540,f1475,f1307,f8296]) ).
fof(f8296,plain,
( spl71_717
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_717])]) ).
fof(f1540,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) )
| ~ spl71_115
| ~ spl71_144 ),
inference(resolution,[],[f1476,f1308]) ).
fof(f8294,plain,
( spl71_716
| ~ spl71_116
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1532,f1471,f1311,f8292]) ).
fof(f8292,plain,
( spl71_716
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_716])]) ).
fof(f1532,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) )
| ~ spl71_116
| ~ spl71_143 ),
inference(resolution,[],[f1472,f1312]) ).
fof(f8290,plain,
( spl71_715
| ~ spl71_115
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1531,f1471,f1307,f8288]) ).
fof(f8288,plain,
( spl71_715
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_715])]) ).
fof(f1531,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) )
| ~ spl71_115
| ~ spl71_143 ),
inference(resolution,[],[f1472,f1308]) ).
fof(f8249,plain,
( spl71_714
| ~ spl71_28
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4303,f3448,f774,f8246]) ).
fof(f8246,plain,
( spl71_714
<=> sP13(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_714])]) ).
fof(f4303,plain,
( sP13(cons(sK22,nil))
| ~ spl71_28
| ~ spl71_292 ),
inference(resolution,[],[f3449,f775]) ).
fof(f8051,plain,
( spl71_713
| ~ spl71_27
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4302,f3448,f770,f8048]) ).
fof(f8048,plain,
( spl71_713
<=> sP11(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_713])]) ).
fof(f4302,plain,
( sP11(cons(sK22,nil))
| ~ spl71_27
| ~ spl71_292 ),
inference(resolution,[],[f3449,f771]) ).
fof(f7836,plain,
( spl71_712
| ~ spl71_26
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4301,f3448,f766,f7833]) ).
fof(f7833,plain,
( spl71_712
<=> sP9(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_712])]) ).
fof(f4301,plain,
( sP9(cons(sK22,nil))
| ~ spl71_26
| ~ spl71_292 ),
inference(resolution,[],[f3449,f767]) ).
fof(f7566,plain,
( spl71_711
| ~ spl71_16
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2157,f2130,f720,f7564]) ).
fof(f7564,plain,
( spl71_711
<=> ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,nil))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_711])]) ).
fof(f2157,plain,
( ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,nil))
| ~ ssList(X0) )
| ~ spl71_16
| ~ spl71_196 ),
inference(resolution,[],[f2131,f722]) ).
fof(f7562,plain,
( spl71_710
| ~ spl71_35
| ~ spl71_178 ),
inference(avatar_split_clause,[],[f1930,f1904,f831,f7560]) ).
fof(f7560,plain,
( spl71_710
<=> ! [X0] :
( sP0(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_710])]) ).
fof(f831,plain,
( spl71_35
<=> ! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_35])]) ).
fof(f1904,plain,
( spl71_178
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_178])]) ).
fof(f1930,plain,
( ! [X0] :
( sP0(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) )
| ~ spl71_35
| ~ spl71_178 ),
inference(resolution,[],[f1905,f832]) ).
fof(f832,plain,
( ! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) )
| ~ spl71_35 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1905,plain,
( ! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP0(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 )
| ~ spl71_178 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f7417,plain,
( ~ spl71_16
| ~ spl71_4
| ~ spl71_143
| spl71_292 ),
inference(avatar_split_clause,[],[f6643,f3448,f1471,f661,f720]) ).
fof(f6643,plain,
( ~ ssItem(sK22)
| ~ ssList(nil)
| ~ spl71_143
| spl71_292 ),
inference(resolution,[],[f3450,f1472]) ).
fof(f3450,plain,
( ~ ssList(cons(sK22,nil))
| spl71_292 ),
inference(avatar_component_clause,[],[f3448]) ).
fof(f7416,plain,
( spl71_709
| ~ spl71_79
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1761,f1635,f1011,f7414]) ).
fof(f7414,plain,
( spl71_709
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK62(X1) = tl(cons(X0,sK62(X1)))
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_709])]) ).
fof(f1761,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK62(X1) = tl(cons(X0,sK62(X1)))
| sP16(X1) )
| ~ spl71_79
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1012]) ).
fof(f7412,plain,
( spl71_708
| ~ spl71_78
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1760,f1635,f1007,f7410]) ).
fof(f7410,plain,
( spl71_708
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK61(X1) = tl(cons(X0,sK61(X1)))
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_708])]) ).
fof(f1760,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK61(X1) = tl(cons(X0,sK61(X1)))
| sP16(X1) )
| ~ spl71_78
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1008]) ).
fof(f7408,plain,
( spl71_707
| ~ spl71_77
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1759,f1635,f1003,f7406]) ).
fof(f7406,plain,
( spl71_707
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK60(X1) = tl(cons(X0,sK60(X1)))
| sP16(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_707])]) ).
fof(f1759,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK60(X1) = tl(cons(X0,sK60(X1)))
| sP16(X1) )
| ~ spl71_77
| ~ spl71_168 ),
inference(resolution,[],[f1636,f1004]) ).
fof(f7404,plain,
( spl71_706
| ~ spl71_74
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1758,f1635,f991,f7402]) ).
fof(f7402,plain,
( spl71_706
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK57(X1) = tl(cons(X0,sK57(X1)))
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_706])]) ).
fof(f1758,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK57(X1) = tl(cons(X0,sK57(X1)))
| sP14(X1) )
| ~ spl71_74
| ~ spl71_168 ),
inference(resolution,[],[f1636,f992]) ).
fof(f7400,plain,
( spl71_705
| ~ spl71_73
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1757,f1635,f987,f7398]) ).
fof(f7398,plain,
( spl71_705
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK56(X1) = tl(cons(X0,sK56(X1)))
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_705])]) ).
fof(f1757,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK56(X1) = tl(cons(X0,sK56(X1)))
| sP14(X1) )
| ~ spl71_73
| ~ spl71_168 ),
inference(resolution,[],[f1636,f988]) ).
fof(f7396,plain,
( spl71_704
| ~ spl71_71
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1756,f1635,f978,f7394]) ).
fof(f7394,plain,
( spl71_704
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK55(X1) = tl(cons(X0,sK55(X1)))
| sP14(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_704])]) ).
fof(f1756,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK55(X1) = tl(cons(X0,sK55(X1)))
| sP14(X1) )
| ~ spl71_71
| ~ spl71_168 ),
inference(resolution,[],[f1636,f979]) ).
fof(f7392,plain,
( spl71_703
| ~ spl71_68
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1755,f1635,f966,f7390]) ).
fof(f7390,plain,
( spl71_703
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK52(X1) = tl(cons(X0,sK52(X1)))
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_703])]) ).
fof(f1755,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK52(X1) = tl(cons(X0,sK52(X1)))
| sP12(X1) )
| ~ spl71_68
| ~ spl71_168 ),
inference(resolution,[],[f1636,f967]) ).
fof(f7388,plain,
( spl71_702
| ~ spl71_67
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1754,f1635,f962,f7386]) ).
fof(f7386,plain,
( spl71_702
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK51(X1) = tl(cons(X0,sK51(X1)))
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_702])]) ).
fof(f1754,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK51(X1) = tl(cons(X0,sK51(X1)))
| sP12(X1) )
| ~ spl71_67
| ~ spl71_168 ),
inference(resolution,[],[f1636,f963]) ).
fof(f7384,plain,
( spl71_701
| ~ spl71_66
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1753,f1635,f958,f7382]) ).
fof(f7382,plain,
( spl71_701
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK50(X1) = tl(cons(X0,sK50(X1)))
| sP12(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_701])]) ).
fof(f1753,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK50(X1) = tl(cons(X0,sK50(X1)))
| sP12(X1) )
| ~ spl71_66
| ~ spl71_168 ),
inference(resolution,[],[f1636,f959]) ).
fof(f7380,plain,
( spl71_700
| ~ spl71_63
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1752,f1635,f946,f7378]) ).
fof(f7378,plain,
( spl71_700
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK47(X1) = tl(cons(X0,sK47(X1)))
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_700])]) ).
fof(f1752,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK47(X1) = tl(cons(X0,sK47(X1)))
| sP10(X1) )
| ~ spl71_63
| ~ spl71_168 ),
inference(resolution,[],[f1636,f947]) ).
fof(f7375,plain,
( spl71_699
| ~ spl71_62
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1751,f1635,f942,f7373]) ).
fof(f7373,plain,
( spl71_699
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK46(X1) = tl(cons(X0,sK46(X1)))
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_699])]) ).
fof(f1751,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK46(X1) = tl(cons(X0,sK46(X1)))
| sP10(X1) )
| ~ spl71_62
| ~ spl71_168 ),
inference(resolution,[],[f1636,f943]) ).
fof(f7371,plain,
( spl71_698
| ~ spl71_60
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1750,f1635,f933,f7369]) ).
fof(f7369,plain,
( spl71_698
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK45(X1) = tl(cons(X0,sK45(X1)))
| sP10(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_698])]) ).
fof(f1750,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK45(X1) = tl(cons(X0,sK45(X1)))
| sP10(X1) )
| ~ spl71_60
| ~ spl71_168 ),
inference(resolution,[],[f1636,f934]) ).
fof(f7367,plain,
( spl71_697
| ~ spl71_57
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1749,f1635,f921,f7365]) ).
fof(f7365,plain,
( spl71_697
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK42(X1) = tl(cons(X0,sK42(X1)))
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_697])]) ).
fof(f1749,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK42(X1) = tl(cons(X0,sK42(X1)))
| sP8(X1) )
| ~ spl71_57
| ~ spl71_168 ),
inference(resolution,[],[f1636,f922]) ).
fof(f7363,plain,
( spl71_696
| ~ spl71_56
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1748,f1635,f917,f7361]) ).
fof(f7361,plain,
( spl71_696
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK41(X1) = tl(cons(X0,sK41(X1)))
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_696])]) ).
fof(f1748,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK41(X1) = tl(cons(X0,sK41(X1)))
| sP8(X1) )
| ~ spl71_56
| ~ spl71_168 ),
inference(resolution,[],[f1636,f918]) ).
fof(f7359,plain,
( spl71_695
| ~ spl71_55
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1747,f1635,f913,f7357]) ).
fof(f7357,plain,
( spl71_695
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK40(X1) = tl(cons(X0,sK40(X1)))
| sP8(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_695])]) ).
fof(f1747,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK40(X1) = tl(cons(X0,sK40(X1)))
| sP8(X1) )
| ~ spl71_55
| ~ spl71_168 ),
inference(resolution,[],[f1636,f914]) ).
fof(f7355,plain,
( spl71_694
| ~ spl71_52
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1746,f1635,f901,f7353]) ).
fof(f7353,plain,
( spl71_694
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK37(X1) = tl(cons(X0,sK37(X1)))
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_694])]) ).
fof(f1746,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK37(X1) = tl(cons(X0,sK37(X1)))
| sP6(X1) )
| ~ spl71_52
| ~ spl71_168 ),
inference(resolution,[],[f1636,f902]) ).
fof(f7351,plain,
( spl71_693
| ~ spl71_51
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1745,f1635,f897,f7349]) ).
fof(f7349,plain,
( spl71_693
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK36(X1) = tl(cons(X0,sK36(X1)))
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_693])]) ).
fof(f1745,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK36(X1) = tl(cons(X0,sK36(X1)))
| sP6(X1) )
| ~ spl71_51
| ~ spl71_168 ),
inference(resolution,[],[f1636,f898]) ).
fof(f7347,plain,
( spl71_692
| ~ spl71_49
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1744,f1635,f888,f7345]) ).
fof(f7345,plain,
( spl71_692
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK35(X1) = tl(cons(X0,sK35(X1)))
| sP6(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_692])]) ).
fof(f1744,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK35(X1) = tl(cons(X0,sK35(X1)))
| sP6(X1) )
| ~ spl71_49
| ~ spl71_168 ),
inference(resolution,[],[f1636,f889]) ).
fof(f7343,plain,
( spl71_691
| ~ spl71_46
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1743,f1635,f876,f7341]) ).
fof(f7341,plain,
( spl71_691
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK32(X1) = tl(cons(X0,sK32(X1)))
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_691])]) ).
fof(f1743,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK32(X1) = tl(cons(X0,sK32(X1)))
| sP4(X1) )
| ~ spl71_46
| ~ spl71_168 ),
inference(resolution,[],[f1636,f877]) ).
fof(f7339,plain,
( spl71_690
| ~ spl71_45
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1742,f1635,f872,f7337]) ).
fof(f7337,plain,
( spl71_690
<=> ! [X0,X1] :
( ~ ssItem(X0)
| sK31(X1) = tl(cons(X0,sK31(X1)))
| sP4(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_690])]) ).
fof(f1742,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| sK31(X1) = tl(cons(X0,sK31(X1)))
| sP4(X1) )
| ~ spl71_45
| ~ spl71_168 ),
inference(resolution,[],[f1636,f873]) ).
fof(f7333,plain,
( spl71_689
| ~ spl71_116
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1506,f1450,f1311,f7331]) ).
fof(f7331,plain,
( spl71_689
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK27(X0) = app(nil,sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_689])]) ).
fof(f1506,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK27(X0) = app(nil,sK27(X0)) )
| ~ spl71_116
| ~ spl71_138 ),
inference(resolution,[],[f1451,f1312]) ).
fof(f7329,plain,
( spl71_688
| ~ spl71_115
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1505,f1450,f1307,f7327]) ).
fof(f7327,plain,
( spl71_688
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK27(X0) = app(sK27(X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_688])]) ).
fof(f1505,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK27(X0) = app(sK27(X0),nil) )
| ~ spl71_115
| ~ spl71_138 ),
inference(resolution,[],[f1451,f1308]) ).
fof(f7325,plain,
( spl71_687
| ~ spl71_116
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1497,f1442,f1311,f7323]) ).
fof(f7323,plain,
( spl71_687
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_687])]) ).
fof(f1497,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) )
| ~ spl71_116
| ~ spl71_136 ),
inference(resolution,[],[f1443,f1312]) ).
fof(f7321,plain,
( spl71_686
| ~ spl71_115
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1496,f1442,f1307,f7319]) ).
fof(f7319,plain,
( spl71_686
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_686])]) ).
fof(f1496,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) )
| ~ spl71_115
| ~ spl71_136 ),
inference(resolution,[],[f1443,f1308]) ).
fof(f7317,plain,
( spl71_685
| ~ spl71_116
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1488,f1430,f1311,f7315]) ).
fof(f7315,plain,
( spl71_685
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK24(X0) = app(nil,sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_685])]) ).
fof(f1488,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK24(X0) = app(nil,sK24(X0)) )
| ~ spl71_116
| ~ spl71_133 ),
inference(resolution,[],[f1431,f1312]) ).
fof(f7313,plain,
( spl71_684
| ~ spl71_115
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1487,f1430,f1307,f7311]) ).
fof(f7311,plain,
( spl71_684
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK24(X0) = app(sK24(X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_684])]) ).
fof(f1487,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sK24(X0) = app(sK24(X0),nil) )
| ~ spl71_115
| ~ spl71_133 ),
inference(resolution,[],[f1431,f1308]) ).
fof(f7282,plain,
( spl71_683
| ~ spl71_30
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6518,f3353,f782,f7279]) ).
fof(f7279,plain,
( spl71_683
<=> sP17(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_683])]) ).
fof(f6518,plain,
( sP17(cons(sK22,sK20))
| ~ spl71_30
| ~ spl71_289 ),
inference(resolution,[],[f3354,f783]) ).
fof(f7257,plain,
( spl71_682
| ~ spl71_29
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6517,f3353,f778,f7254]) ).
fof(f7254,plain,
( spl71_682
<=> sP15(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_682])]) ).
fof(f6517,plain,
( sP15(cons(sK22,sK20))
| ~ spl71_29
| ~ spl71_289 ),
inference(resolution,[],[f3354,f779]) ).
fof(f7232,plain,
( spl71_681
| ~ spl71_28
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6516,f3353,f774,f7229]) ).
fof(f7229,plain,
( spl71_681
<=> sP13(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_681])]) ).
fof(f6516,plain,
( sP13(cons(sK22,sK20))
| ~ spl71_28
| ~ spl71_289 ),
inference(resolution,[],[f3354,f775]) ).
fof(f7207,plain,
( spl71_680
| ~ spl71_27
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6515,f3353,f770,f7204]) ).
fof(f7204,plain,
( spl71_680
<=> sP11(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_680])]) ).
fof(f6515,plain,
( sP11(cons(sK22,sK20))
| ~ spl71_27
| ~ spl71_289 ),
inference(resolution,[],[f3354,f771]) ).
fof(f7163,plain,
( spl71_679
| ~ spl71_26
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6514,f3353,f766,f7160]) ).
fof(f7160,plain,
( spl71_679
<=> sP9(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_679])]) ).
fof(f6514,plain,
( sP9(cons(sK22,sK20))
| ~ spl71_26
| ~ spl71_289 ),
inference(resolution,[],[f3354,f767]) ).
fof(f6948,plain,
( spl71_678
| ~ spl71_25
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6513,f3353,f762,f6945]) ).
fof(f6945,plain,
( spl71_678
<=> sP7(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_678])]) ).
fof(f6513,plain,
( sP7(cons(sK22,sK20))
| ~ spl71_25
| ~ spl71_289 ),
inference(resolution,[],[f3354,f763]) ).
fof(f6717,plain,
( spl71_677
| ~ spl71_24
| ~ spl71_289 ),
inference(avatar_split_clause,[],[f6512,f3353,f758,f6714]) ).
fof(f6714,plain,
( spl71_677
<=> sP5(cons(sK22,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_677])]) ).
fof(f6512,plain,
( sP5(cons(sK22,sK20))
| ~ spl71_24
| ~ spl71_289 ),
inference(resolution,[],[f3354,f759]) ).
fof(f6712,plain,
( ~ spl71_16
| spl71_676
| ~ spl71_40
| ~ spl71_198 ),
inference(avatar_split_clause,[],[f2200,f2140,f852,f6710,f720]) ).
fof(f2200,plain,
( ! [X0] :
( app(nil,sK68(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl71_40
| ~ spl71_198 ),
inference(duplicate_literal_removal,[],[f2197]) ).
fof(f2197,plain,
( ! [X0] :
( app(nil,sK68(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl71_40
| ~ spl71_198 ),
inference(resolution,[],[f2141,f853]) ).
fof(f6671,plain,
( ~ spl71_16
| spl71_675
| ~ spl71_37
| ~ spl71_197 ),
inference(avatar_split_clause,[],[f2195,f2134,f839,f6669,f720]) ).
fof(f2195,plain,
( ! [X0] :
( app(sK65(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl71_37
| ~ spl71_197 ),
inference(duplicate_literal_removal,[],[f2190]) ).
fof(f2190,plain,
( ! [X0] :
( app(sK65(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl71_37
| ~ spl71_197 ),
inference(resolution,[],[f2135,f840]) ).
fof(f6667,plain,
( spl71_674
| ~ spl71_16
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2062,f2025,f720,f6665]) ).
fof(f2062,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = app(cons(X0,nil),nil) )
| ~ spl71_16
| ~ spl71_187 ),
inference(resolution,[],[f2026,f722]) ).
fof(f6663,plain,
( spl71_673
| ~ spl71_30
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1896,f1820,f782,f6661]) ).
fof(f6661,plain,
( spl71_673
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_673])]) ).
fof(f1896,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK68(X0,X1)) )
| ~ spl71_30
| ~ spl71_177 ),
inference(resolution,[],[f1821,f783]) ).
fof(f6659,plain,
( spl71_672
| ~ spl71_29
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1895,f1820,f778,f6657]) ).
fof(f6657,plain,
( spl71_672
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_672])]) ).
fof(f1895,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK68(X0,X1)) )
| ~ spl71_29
| ~ spl71_177 ),
inference(resolution,[],[f1821,f779]) ).
fof(f6655,plain,
( spl71_671
| ~ spl71_28
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1894,f1820,f774,f6653]) ).
fof(f6653,plain,
( spl71_671
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_671])]) ).
fof(f1894,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK68(X0,X1)) )
| ~ spl71_28
| ~ spl71_177 ),
inference(resolution,[],[f1821,f775]) ).
fof(f6651,plain,
( spl71_670
| ~ spl71_27
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1893,f1820,f770,f6649]) ).
fof(f6649,plain,
( spl71_670
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_670])]) ).
fof(f1893,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK68(X0,X1)) )
| ~ spl71_27
| ~ spl71_177 ),
inference(resolution,[],[f1821,f771]) ).
fof(f6647,plain,
( spl71_669
| ~ spl71_26
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1892,f1820,f766,f6645]) ).
fof(f6645,plain,
( spl71_669
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_669])]) ).
fof(f1892,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK68(X0,X1)) )
| ~ spl71_26
| ~ spl71_177 ),
inference(resolution,[],[f1821,f767]) ).
fof(f6642,plain,
( spl71_668
| ~ spl71_25
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4300,f3448,f762,f6639]) ).
fof(f6639,plain,
( spl71_668
<=> sP7(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_668])]) ).
fof(f4300,plain,
( sP7(cons(sK22,nil))
| ~ spl71_25
| ~ spl71_292 ),
inference(resolution,[],[f3449,f763]) ).
fof(f6637,plain,
( spl71_667
| ~ spl71_25
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1891,f1820,f762,f6635]) ).
fof(f6635,plain,
( spl71_667
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_667])]) ).
fof(f1891,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK68(X0,X1)) )
| ~ spl71_25
| ~ spl71_177 ),
inference(resolution,[],[f1821,f763]) ).
fof(f6633,plain,
( spl71_666
| ~ spl71_24
| ~ spl71_177 ),
inference(avatar_split_clause,[],[f1890,f1820,f758,f6631]) ).
fof(f6631,plain,
( spl71_666
<=> ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK68(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_666])]) ).
fof(f1890,plain,
( ! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK68(X0,X1)) )
| ~ spl71_24
| ~ spl71_177 ),
inference(resolution,[],[f1821,f759]) ).
fof(f6629,plain,
( spl71_665
| ~ spl71_30
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1883,f1816,f782,f6627]) ).
fof(f6627,plain,
( spl71_665
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_665])]) ).
fof(f1883,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK67(X0,X1)) )
| ~ spl71_30
| ~ spl71_176 ),
inference(resolution,[],[f1817,f783]) ).
fof(f6625,plain,
( spl71_664
| ~ spl71_29
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1882,f1816,f778,f6623]) ).
fof(f6623,plain,
( spl71_664
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_664])]) ).
fof(f1882,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK67(X0,X1)) )
| ~ spl71_29
| ~ spl71_176 ),
inference(resolution,[],[f1817,f779]) ).
fof(f6621,plain,
( spl71_663
| ~ spl71_28
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1881,f1816,f774,f6619]) ).
fof(f6619,plain,
( spl71_663
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_663])]) ).
fof(f1881,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK67(X0,X1)) )
| ~ spl71_28
| ~ spl71_176 ),
inference(resolution,[],[f1817,f775]) ).
fof(f6617,plain,
( spl71_662
| ~ spl71_27
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1880,f1816,f770,f6615]) ).
fof(f6615,plain,
( spl71_662
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_662])]) ).
fof(f1880,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK67(X0,X1)) )
| ~ spl71_27
| ~ spl71_176 ),
inference(resolution,[],[f1817,f771]) ).
fof(f6613,plain,
( spl71_661
| ~ spl71_26
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1879,f1816,f766,f6611]) ).
fof(f6611,plain,
( spl71_661
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_661])]) ).
fof(f1879,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK67(X0,X1)) )
| ~ spl71_26
| ~ spl71_176 ),
inference(resolution,[],[f1817,f767]) ).
fof(f6609,plain,
( spl71_660
| ~ spl71_25
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1878,f1816,f762,f6607]) ).
fof(f6607,plain,
( spl71_660
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_660])]) ).
fof(f1878,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK67(X0,X1)) )
| ~ spl71_25
| ~ spl71_176 ),
inference(resolution,[],[f1817,f763]) ).
fof(f6605,plain,
( spl71_659
| ~ spl71_24
| ~ spl71_176 ),
inference(avatar_split_clause,[],[f1877,f1816,f758,f6603]) ).
fof(f6603,plain,
( spl71_659
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK67(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_659])]) ).
fof(f1877,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK67(X0,X1)) )
| ~ spl71_24
| ~ spl71_176 ),
inference(resolution,[],[f1817,f759]) ).
fof(f6601,plain,
( spl71_658
| ~ spl71_30
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1870,f1812,f782,f6599]) ).
fof(f6599,plain,
( spl71_658
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_658])]) ).
fof(f1870,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK66(X0,X1)) )
| ~ spl71_30
| ~ spl71_175 ),
inference(resolution,[],[f1813,f783]) ).
fof(f6597,plain,
( spl71_657
| ~ spl71_24
| ~ spl71_292 ),
inference(avatar_split_clause,[],[f4299,f3448,f758,f6594]) ).
fof(f6594,plain,
( spl71_657
<=> sP5(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_657])]) ).
fof(f4299,plain,
( sP5(cons(sK22,nil))
| ~ spl71_24
| ~ spl71_292 ),
inference(resolution,[],[f3449,f759]) ).
fof(f6592,plain,
( spl71_656
| ~ spl71_29
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1869,f1812,f778,f6590]) ).
fof(f6590,plain,
( spl71_656
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_656])]) ).
fof(f1869,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK66(X0,X1)) )
| ~ spl71_29
| ~ spl71_175 ),
inference(resolution,[],[f1813,f779]) ).
fof(f6588,plain,
( spl71_655
| ~ spl71_28
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1868,f1812,f774,f6586]) ).
fof(f6586,plain,
( spl71_655
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_655])]) ).
fof(f1868,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK66(X0,X1)) )
| ~ spl71_28
| ~ spl71_175 ),
inference(resolution,[],[f1813,f775]) ).
fof(f6584,plain,
( spl71_654
| ~ spl71_27
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1867,f1812,f770,f6582]) ).
fof(f6582,plain,
( spl71_654
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_654])]) ).
fof(f1867,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK66(X0,X1)) )
| ~ spl71_27
| ~ spl71_175 ),
inference(resolution,[],[f1813,f771]) ).
fof(f6580,plain,
( spl71_653
| ~ spl71_26
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1866,f1812,f766,f6578]) ).
fof(f6578,plain,
( spl71_653
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_653])]) ).
fof(f1866,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK66(X0,X1)) )
| ~ spl71_26
| ~ spl71_175 ),
inference(resolution,[],[f1813,f767]) ).
fof(f6576,plain,
( spl71_652
| ~ spl71_25
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1865,f1812,f762,f6574]) ).
fof(f6574,plain,
( spl71_652
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_652])]) ).
fof(f1865,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK66(X0,X1)) )
| ~ spl71_25
| ~ spl71_175 ),
inference(resolution,[],[f1813,f763]) ).
fof(f6572,plain,
( spl71_651
| ~ spl71_24
| ~ spl71_175 ),
inference(avatar_split_clause,[],[f1864,f1812,f758,f6570]) ).
fof(f6570,plain,
( spl71_651
<=> ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK66(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_651])]) ).
fof(f1864,plain,
( ! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK66(X0,X1)) )
| ~ spl71_24
| ~ spl71_175 ),
inference(resolution,[],[f1813,f759]) ).
fof(f6568,plain,
( spl71_650
| ~ spl71_30
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1857,f1808,f782,f6566]) ).
fof(f6566,plain,
( spl71_650
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_650])]) ).
fof(f1857,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP17(sK65(X0,X1)) )
| ~ spl71_30
| ~ spl71_174 ),
inference(resolution,[],[f1809,f783]) ).
fof(f6564,plain,
( spl71_649
| ~ spl71_29
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1856,f1808,f778,f6562]) ).
fof(f6562,plain,
( spl71_649
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_649])]) ).
fof(f1856,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP15(sK65(X0,X1)) )
| ~ spl71_29
| ~ spl71_174 ),
inference(resolution,[],[f1809,f779]) ).
fof(f6560,plain,
( spl71_648
| ~ spl71_28
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1855,f1808,f774,f6558]) ).
fof(f6558,plain,
( spl71_648
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_648])]) ).
fof(f1855,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP13(sK65(X0,X1)) )
| ~ spl71_28
| ~ spl71_174 ),
inference(resolution,[],[f1809,f775]) ).
fof(f6510,plain,
( ~ spl71_1
| ~ spl71_4
| ~ spl71_143
| spl71_289 ),
inference(avatar_split_clause,[],[f3357,f3353,f1471,f661,f646]) ).
fof(f3357,plain,
( ~ ssItem(sK22)
| ~ ssList(sK20)
| ~ spl71_143
| spl71_289 ),
inference(resolution,[],[f3355,f1472]) ).
fof(f3355,plain,
( ~ ssList(cons(sK22,sK20))
| spl71_289 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f6509,plain,
( spl71_647
| ~ spl71_27
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1854,f1808,f770,f6507]) ).
fof(f6507,plain,
( spl71_647
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_647])]) ).
fof(f1854,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP11(sK65(X0,X1)) )
| ~ spl71_27
| ~ spl71_174 ),
inference(resolution,[],[f1809,f771]) ).
fof(f6505,plain,
( spl71_646
| ~ spl71_26
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1853,f1808,f766,f6503]) ).
fof(f6503,plain,
( spl71_646
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_646])]) ).
fof(f1853,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP9(sK65(X0,X1)) )
| ~ spl71_26
| ~ spl71_174 ),
inference(resolution,[],[f1809,f767]) ).
fof(f6501,plain,
( spl71_645
| ~ spl71_25
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1852,f1808,f762,f6499]) ).
fof(f6499,plain,
( spl71_645
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_645])]) ).
fof(f1852,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP7(sK65(X0,X1)) )
| ~ spl71_25
| ~ spl71_174 ),
inference(resolution,[],[f1809,f763]) ).
fof(f6497,plain,
( spl71_644
| ~ spl71_24
| ~ spl71_174 ),
inference(avatar_split_clause,[],[f1851,f1808,f758,f6495]) ).
fof(f6495,plain,
( spl71_644
<=> ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK65(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_644])]) ).
fof(f1851,plain,
( ! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sP5(sK65(X0,X1)) )
| ~ spl71_24
| ~ spl71_174 ),
inference(resolution,[],[f1809,f759]) ).
fof(f6493,plain,
( spl71_643
| ~ spl71_30
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1844,f1804,f782,f6491]) ).
fof(f6491,plain,
( spl71_643
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP17(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_643])]) ).
fof(f1844,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP17(sK64(X0,X1)) )
| ~ spl71_30
| ~ spl71_173 ),
inference(resolution,[],[f1805,f783]) ).
fof(f6489,plain,
( spl71_642
| ~ spl71_29
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1843,f1804,f778,f6487]) ).
fof(f6487,plain,
( spl71_642
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP15(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_642])]) ).
fof(f1843,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP15(sK64(X0,X1)) )
| ~ spl71_29
| ~ spl71_173 ),
inference(resolution,[],[f1805,f779]) ).
fof(f6485,plain,
( spl71_641
| ~ spl71_28
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1842,f1804,f774,f6483]) ).
fof(f6483,plain,
( spl71_641
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP13(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_641])]) ).
fof(f1842,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP13(sK64(X0,X1)) )
| ~ spl71_28
| ~ spl71_173 ),
inference(resolution,[],[f1805,f775]) ).
fof(f6481,plain,
( spl71_640
| ~ spl71_27
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1841,f1804,f770,f6479]) ).
fof(f6479,plain,
( spl71_640
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP11(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_640])]) ).
fof(f1841,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP11(sK64(X0,X1)) )
| ~ spl71_27
| ~ spl71_173 ),
inference(resolution,[],[f1805,f771]) ).
fof(f6477,plain,
( spl71_639
| ~ spl71_26
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1840,f1804,f766,f6475]) ).
fof(f6475,plain,
( spl71_639
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP9(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_639])]) ).
fof(f1840,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP9(sK64(X0,X1)) )
| ~ spl71_26
| ~ spl71_173 ),
inference(resolution,[],[f1805,f767]) ).
fof(f6473,plain,
( spl71_638
| ~ spl71_25
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1839,f1804,f762,f6471]) ).
fof(f6471,plain,
( spl71_638
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP7(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_638])]) ).
fof(f1839,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP7(sK64(X0,X1)) )
| ~ spl71_25
| ~ spl71_173 ),
inference(resolution,[],[f1805,f763]) ).
fof(f6469,plain,
( spl71_637
| ~ spl71_24
| ~ spl71_173 ),
inference(avatar_split_clause,[],[f1838,f1804,f758,f6467]) ).
fof(f6467,plain,
( spl71_637
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP5(sK64(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_637])]) ).
fof(f1838,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP5(sK64(X0,X1)) )
| ~ spl71_24
| ~ spl71_173 ),
inference(resolution,[],[f1805,f759]) ).
fof(f6465,plain,
( spl71_636
| ~ spl71_30
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1829,f1800,f782,f6463]) ).
fof(f6463,plain,
( spl71_636
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP17(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_636])]) ).
fof(f1829,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP17(sK63(X0,X1)) )
| ~ spl71_30
| ~ spl71_172 ),
inference(resolution,[],[f1801,f783]) ).
fof(f6461,plain,
( spl71_635
| ~ spl71_29
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1828,f1800,f778,f6459]) ).
fof(f6459,plain,
( spl71_635
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP15(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_635])]) ).
fof(f1828,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP15(sK63(X0,X1)) )
| ~ spl71_29
| ~ spl71_172 ),
inference(resolution,[],[f1801,f779]) ).
fof(f6457,plain,
( spl71_634
| ~ spl71_28
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1827,f1800,f774,f6455]) ).
fof(f6455,plain,
( spl71_634
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP13(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_634])]) ).
fof(f1827,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP13(sK63(X0,X1)) )
| ~ spl71_28
| ~ spl71_172 ),
inference(resolution,[],[f1801,f775]) ).
fof(f6453,plain,
( spl71_633
| ~ spl71_27
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1826,f1800,f770,f6451]) ).
fof(f6451,plain,
( spl71_633
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP11(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_633])]) ).
fof(f1826,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP11(sK63(X0,X1)) )
| ~ spl71_27
| ~ spl71_172 ),
inference(resolution,[],[f1801,f771]) ).
fof(f6449,plain,
( spl71_632
| ~ spl71_26
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1825,f1800,f766,f6447]) ).
fof(f6447,plain,
( spl71_632
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP9(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_632])]) ).
fof(f1825,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP9(sK63(X0,X1)) )
| ~ spl71_26
| ~ spl71_172 ),
inference(resolution,[],[f1801,f767]) ).
fof(f6445,plain,
( spl71_631
| ~ spl71_25
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1824,f1800,f762,f6443]) ).
fof(f6443,plain,
( spl71_631
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP7(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_631])]) ).
fof(f1824,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP7(sK63(X0,X1)) )
| ~ spl71_25
| ~ spl71_172 ),
inference(resolution,[],[f1801,f763]) ).
fof(f6441,plain,
( spl71_630
| ~ spl71_24
| ~ spl71_172 ),
inference(avatar_split_clause,[],[f1823,f1800,f758,f6439]) ).
fof(f6439,plain,
( spl71_630
<=> ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP5(sK63(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_630])]) ).
fof(f1823,plain,
( ! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sP5(sK63(X0,X1)) )
| ~ spl71_24
| ~ spl71_172 ),
inference(resolution,[],[f1801,f759]) ).
fof(f6437,plain,
( spl71_629
| ~ spl71_79
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1792,f1639,f1011,f6435]) ).
fof(f1792,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK62(X1))) = X0
| sP16(X1) )
| ~ spl71_79
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1012]) ).
fof(f6433,plain,
( spl71_628
| ~ spl71_78
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1791,f1639,f1007,f6431]) ).
fof(f1791,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK61(X1))) = X0
| sP16(X1) )
| ~ spl71_78
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1008]) ).
fof(f6429,plain,
( spl71_627
| ~ spl71_310
| ~ spl71_109
| ~ spl71_159 ),
inference(avatar_split_clause,[],[f2617,f1598,f1279,f3630,f6426]) ).
fof(f6426,plain,
( spl71_627
<=> sP16(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_627])]) ).
fof(f3630,plain,
( spl71_310
<=> strictorderedP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_310])]) ).
fof(f1279,plain,
( spl71_109
<=> ! [X0] :
( sP16(X0)
| ~ strictorderedP(X0)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_109])]) ).
fof(f1598,plain,
( spl71_159
<=> sP17(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_159])]) ).
fof(f2617,plain,
( ~ strictorderedP(sK23)
| sP16(sK23)
| ~ spl71_109
| ~ spl71_159 ),
inference(resolution,[],[f1600,f1280]) ).
fof(f1280,plain,
( ! [X0] :
( ~ sP17(X0)
| ~ strictorderedP(X0)
| sP16(X0) )
| ~ spl71_109 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1600,plain,
( sP17(sK23)
| ~ spl71_159 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f6424,plain,
( spl71_626
| ~ spl71_77
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1790,f1639,f1003,f6422]) ).
fof(f1790,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK60(X1))) = X0
| sP16(X1) )
| ~ spl71_77
| ~ spl71_169 ),
inference(resolution,[],[f1640,f1004]) ).
fof(f6420,plain,
( spl71_625
| ~ spl71_74
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1789,f1639,f991,f6418]) ).
fof(f1789,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK57(X1))) = X0
| sP14(X1) )
| ~ spl71_74
| ~ spl71_169 ),
inference(resolution,[],[f1640,f992]) ).
fof(f6416,plain,
( spl71_624
| ~ spl71_73
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1788,f1639,f987,f6414]) ).
fof(f1788,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK56(X1))) = X0
| sP14(X1) )
| ~ spl71_73
| ~ spl71_169 ),
inference(resolution,[],[f1640,f988]) ).
fof(f6412,plain,
( spl71_623
| ~ spl71_71
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1787,f1639,f978,f6410]) ).
fof(f1787,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(X1))) = X0
| sP14(X1) )
| ~ spl71_71
| ~ spl71_169 ),
inference(resolution,[],[f1640,f979]) ).
fof(f6408,plain,
( spl71_622
| ~ spl71_68
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1786,f1639,f966,f6406]) ).
fof(f1786,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK52(X1))) = X0
| sP12(X1) )
| ~ spl71_68
| ~ spl71_169 ),
inference(resolution,[],[f1640,f967]) ).
fof(f6404,plain,
( spl71_621
| ~ spl71_67
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1785,f1639,f962,f6402]) ).
fof(f1785,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK51(X1))) = X0
| sP12(X1) )
| ~ spl71_67
| ~ spl71_169 ),
inference(resolution,[],[f1640,f963]) ).
fof(f6400,plain,
( spl71_620
| ~ spl71_66
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1784,f1639,f958,f6398]) ).
fof(f1784,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK50(X1))) = X0
| sP12(X1) )
| ~ spl71_66
| ~ spl71_169 ),
inference(resolution,[],[f1640,f959]) ).
fof(f6396,plain,
( spl71_619
| ~ spl71_63
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1783,f1639,f946,f6394]) ).
fof(f1783,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK47(X1))) = X0
| sP10(X1) )
| ~ spl71_63
| ~ spl71_169 ),
inference(resolution,[],[f1640,f947]) ).
fof(f6392,plain,
( spl71_618
| ~ spl71_62
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1782,f1639,f942,f6390]) ).
fof(f1782,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK46(X1))) = X0
| sP10(X1) )
| ~ spl71_62
| ~ spl71_169 ),
inference(resolution,[],[f1640,f943]) ).
fof(f6388,plain,
( spl71_617
| ~ spl71_60
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1781,f1639,f933,f6386]) ).
fof(f1781,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK45(X1))) = X0
| sP10(X1) )
| ~ spl71_60
| ~ spl71_169 ),
inference(resolution,[],[f1640,f934]) ).
fof(f6384,plain,
( spl71_607
| ~ spl71_606
| ~ spl71_109
| ~ spl71_149 ),
inference(avatar_split_clause,[],[f2615,f1557,f1279,f6335,f6339]) ).
fof(f6339,plain,
( spl71_607
<=> sP16(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_607])]) ).
fof(f6335,plain,
( spl71_606
<=> strictorderedP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_606])]) ).
fof(f1557,plain,
( spl71_149
<=> sP17(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_149])]) ).
fof(f2615,plain,
( ~ strictorderedP(sK21)
| sP16(sK21)
| ~ spl71_109
| ~ spl71_149 ),
inference(resolution,[],[f1559,f1280]) ).
fof(f1559,plain,
( sP17(sK21)
| ~ spl71_149 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f6383,plain,
( spl71_616
| ~ spl71_57
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1780,f1639,f921,f6381]) ).
fof(f1780,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK42(X1))) = X0
| sP8(X1) )
| ~ spl71_57
| ~ spl71_169 ),
inference(resolution,[],[f1640,f922]) ).
fof(f6379,plain,
( spl71_615
| ~ spl71_56
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1779,f1639,f917,f6377]) ).
fof(f1779,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK41(X1))) = X0
| sP8(X1) )
| ~ spl71_56
| ~ spl71_169 ),
inference(resolution,[],[f1640,f918]) ).
fof(f6375,plain,
( spl71_614
| ~ spl71_55
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1778,f1639,f913,f6373]) ).
fof(f1778,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK40(X1))) = X0
| sP8(X1) )
| ~ spl71_55
| ~ spl71_169 ),
inference(resolution,[],[f1640,f914]) ).
fof(f6371,plain,
( spl71_613
| ~ spl71_52
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1777,f1639,f901,f6369]) ).
fof(f1777,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK37(X1))) = X0
| sP6(X1) )
| ~ spl71_52
| ~ spl71_169 ),
inference(resolution,[],[f1640,f902]) ).
fof(f6367,plain,
( spl71_612
| ~ spl71_51
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1776,f1639,f897,f6365]) ).
fof(f1776,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK36(X1))) = X0
| sP6(X1) )
| ~ spl71_51
| ~ spl71_169 ),
inference(resolution,[],[f1640,f898]) ).
fof(f6363,plain,
( spl71_611
| ~ spl71_49
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1775,f1639,f888,f6361]) ).
fof(f1775,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK35(X1))) = X0
| sP6(X1) )
| ~ spl71_49
| ~ spl71_169 ),
inference(resolution,[],[f1640,f889]) ).
fof(f6359,plain,
( spl71_610
| ~ spl71_46
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1774,f1639,f876,f6357]) ).
fof(f1774,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK32(X1))) = X0
| sP4(X1) )
| ~ spl71_46
| ~ spl71_169 ),
inference(resolution,[],[f1640,f877]) ).
fof(f6355,plain,
( spl71_609
| ~ spl71_45
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1773,f1639,f872,f6353]) ).
fof(f1773,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK31(X1))) = X0
| sP4(X1) )
| ~ spl71_45
| ~ spl71_169 ),
inference(resolution,[],[f1640,f873]) ).
fof(f6348,plain,
( spl71_608
| ~ spl71_33
| ~ spl71_164 ),
inference(avatar_split_clause,[],[f1671,f1619,f823,f6346]) ).
fof(f823,plain,
( spl71_33
<=> ! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_33])]) ).
fof(f1671,plain,
( ! [X0] :
( nil = X0
| ~ sP2(X0,hd(X0))
| ~ ssItem(hd(X0)) )
| ~ spl71_33
| ~ spl71_164 ),
inference(resolution,[],[f1620,f824]) ).
fof(f824,plain,
( ! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) )
| ~ spl71_33 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f6342,plain,
( spl71_606
| ~ spl71_607
| ~ spl71_110
| ~ spl71_149 ),
inference(avatar_split_clause,[],[f2614,f1557,f1283,f6339,f6335]) ).
fof(f1283,plain,
( spl71_110
<=> ! [X0] :
( strictorderedP(X0)
| ~ sP16(X0)
| ~ sP17(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_110])]) ).
fof(f2614,plain,
( ~ sP16(sK21)
| strictorderedP(sK21)
| ~ spl71_110
| ~ spl71_149 ),
inference(resolution,[],[f1559,f1284]) ).
fof(f1284,plain,
( ! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| strictorderedP(X0) )
| ~ spl71_110 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f6173,plain,
( spl71_604
| ~ spl71_605
| ~ spl71_110
| ~ spl71_145 ),
inference(avatar_split_clause,[],[f2612,f1508,f1283,f6170,f6166]) ).
fof(f6166,plain,
( spl71_604
<=> strictorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_604])]) ).
fof(f6170,plain,
( spl71_605
<=> sP16(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_605])]) ).
fof(f1508,plain,
( spl71_145
<=> sP17(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_145])]) ).
fof(f2612,plain,
( ~ sP16(sK20)
| strictorderedP(sK20)
| ~ spl71_110
| ~ spl71_145 ),
inference(resolution,[],[f1510,f1284]) ).
fof(f1510,plain,
( sP17(sK20)
| ~ spl71_145 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f6127,plain,
( spl71_603
| ~ spl71_38
| ~ spl71_198 ),
inference(avatar_split_clause,[],[f2201,f2140,f843,f6125]) ).
fof(f2201,plain,
( ! [X0] :
( app(X0,sK68(X0,X0)) = X0
| ~ ssList(X0) )
| ~ spl71_38
| ~ spl71_198 ),
inference(duplicate_literal_removal,[],[f2196]) ).
fof(f2196,plain,
( ! [X0] :
( app(X0,sK68(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl71_38
| ~ spl71_198 ),
inference(resolution,[],[f2141,f844]) ).
fof(f6123,plain,
( spl71_602
| ~ spl71_42
| ~ spl71_197 ),
inference(avatar_split_clause,[],[f2194,f2134,f860,f6121]) ).
fof(f2194,plain,
( ! [X0] :
( app(sK65(X0,X0),X0) = X0
| ~ ssList(X0) )
| ~ spl71_42
| ~ spl71_197 ),
inference(duplicate_literal_removal,[],[f2191]) ).
fof(f2191,plain,
( ! [X0] :
( app(sK65(X0,X0),X0) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl71_42
| ~ spl71_197 ),
inference(resolution,[],[f2135,f861]) ).
fof(f6119,plain,
( spl71_601
| ~ spl71_79
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1410,f1311,f1011,f6117]) ).
fof(f6117,plain,
( spl71_601
<=> ! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_601])]) ).
fof(f1410,plain,
( ! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| sP16(X0) )
| ~ spl71_79
| ~ spl71_116 ),
inference(resolution,[],[f1312,f1012]) ).
fof(f6115,plain,
( spl71_600
| ~ spl71_78
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1409,f1311,f1007,f6113]) ).
fof(f6113,plain,
( spl71_600
<=> ! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_600])]) ).
fof(f1409,plain,
( ! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| sP16(X0) )
| ~ spl71_78
| ~ spl71_116 ),
inference(resolution,[],[f1312,f1008]) ).
fof(f6111,plain,
( spl71_599
| ~ spl71_77
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1408,f1311,f1003,f6109]) ).
fof(f6109,plain,
( spl71_599
<=> ! [X0] :
( sK60(X0) = app(nil,sK60(X0))
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_599])]) ).
fof(f1408,plain,
( ! [X0] :
( sK60(X0) = app(nil,sK60(X0))
| sP16(X0) )
| ~ spl71_77
| ~ spl71_116 ),
inference(resolution,[],[f1312,f1004]) ).
fof(f6107,plain,
( spl71_598
| ~ spl71_74
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1407,f1311,f991,f6105]) ).
fof(f6105,plain,
( spl71_598
<=> ! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_598])]) ).
fof(f1407,plain,
( ! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| sP14(X0) )
| ~ spl71_74
| ~ spl71_116 ),
inference(resolution,[],[f1312,f992]) ).
fof(f6103,plain,
( spl71_597
| ~ spl71_73
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1406,f1311,f987,f6101]) ).
fof(f6101,plain,
( spl71_597
<=> ! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_597])]) ).
fof(f1406,plain,
( ! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| sP14(X0) )
| ~ spl71_73
| ~ spl71_116 ),
inference(resolution,[],[f1312,f988]) ).
fof(f6099,plain,
( spl71_596
| ~ spl71_71
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1405,f1311,f978,f6097]) ).
fof(f6097,plain,
( spl71_596
<=> ! [X0] :
( sK55(X0) = app(nil,sK55(X0))
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_596])]) ).
fof(f1405,plain,
( ! [X0] :
( sK55(X0) = app(nil,sK55(X0))
| sP14(X0) )
| ~ spl71_71
| ~ spl71_116 ),
inference(resolution,[],[f1312,f979]) ).
fof(f6095,plain,
( spl71_595
| ~ spl71_317
| ~ spl71_107
| ~ spl71_142 ),
inference(avatar_split_clause,[],[f2609,f1466,f1271,f3835,f6092]) ).
fof(f6092,plain,
( spl71_595
<=> sP14(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_595])]) ).
fof(f3835,plain,
( spl71_317
<=> totalorderedP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_317])]) ).
fof(f1271,plain,
( spl71_107
<=> ! [X0] :
( sP14(X0)
| ~ totalorderedP(X0)
| ~ sP15(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_107])]) ).
fof(f1466,plain,
( spl71_142
<=> sP15(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_142])]) ).
fof(f2609,plain,
( ~ totalorderedP(sK23)
| sP14(sK23)
| ~ spl71_107
| ~ spl71_142 ),
inference(resolution,[],[f1468,f1272]) ).
fof(f1272,plain,
( ! [X0] :
( ~ sP15(X0)
| ~ totalorderedP(X0)
| sP14(X0) )
| ~ spl71_107 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1468,plain,
( sP15(sK23)
| ~ spl71_142 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f6090,plain,
( spl71_594
| ~ spl71_68
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1404,f1311,f966,f6088]) ).
fof(f6088,plain,
( spl71_594
<=> ! [X0] :
( sK52(X0) = app(nil,sK52(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_594])]) ).
fof(f1404,plain,
( ! [X0] :
( sK52(X0) = app(nil,sK52(X0))
| sP12(X0) )
| ~ spl71_68
| ~ spl71_116 ),
inference(resolution,[],[f1312,f967]) ).
fof(f6086,plain,
( spl71_593
| ~ spl71_67
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1403,f1311,f962,f6084]) ).
fof(f6084,plain,
( spl71_593
<=> ! [X0] :
( sK51(X0) = app(nil,sK51(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_593])]) ).
fof(f1403,plain,
( ! [X0] :
( sK51(X0) = app(nil,sK51(X0))
| sP12(X0) )
| ~ spl71_67
| ~ spl71_116 ),
inference(resolution,[],[f1312,f963]) ).
fof(f6082,plain,
( spl71_592
| ~ spl71_66
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1402,f1311,f958,f6080]) ).
fof(f6080,plain,
( spl71_592
<=> ! [X0] :
( sK50(X0) = app(nil,sK50(X0))
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_592])]) ).
fof(f1402,plain,
( ! [X0] :
( sK50(X0) = app(nil,sK50(X0))
| sP12(X0) )
| ~ spl71_66
| ~ spl71_116 ),
inference(resolution,[],[f1312,f959]) ).
fof(f6078,plain,
( spl71_591
| ~ spl71_63
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1401,f1311,f946,f6076]) ).
fof(f6076,plain,
( spl71_591
<=> ! [X0] :
( sK47(X0) = app(nil,sK47(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_591])]) ).
fof(f1401,plain,
( ! [X0] :
( sK47(X0) = app(nil,sK47(X0))
| sP10(X0) )
| ~ spl71_63
| ~ spl71_116 ),
inference(resolution,[],[f1312,f947]) ).
fof(f6074,plain,
( spl71_590
| ~ spl71_62
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1400,f1311,f942,f6072]) ).
fof(f6072,plain,
( spl71_590
<=> ! [X0] :
( sK46(X0) = app(nil,sK46(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_590])]) ).
fof(f1400,plain,
( ! [X0] :
( sK46(X0) = app(nil,sK46(X0))
| sP10(X0) )
| ~ spl71_62
| ~ spl71_116 ),
inference(resolution,[],[f1312,f943]) ).
fof(f6070,plain,
( spl71_589
| ~ spl71_60
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1399,f1311,f933,f6068]) ).
fof(f6068,plain,
( spl71_589
<=> ! [X0] :
( sK45(X0) = app(nil,sK45(X0))
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_589])]) ).
fof(f1399,plain,
( ! [X0] :
( sK45(X0) = app(nil,sK45(X0))
| sP10(X0) )
| ~ spl71_60
| ~ spl71_116 ),
inference(resolution,[],[f1312,f934]) ).
fof(f6066,plain,
( spl71_588
| ~ spl71_57
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1398,f1311,f921,f6064]) ).
fof(f6064,plain,
( spl71_588
<=> ! [X0] :
( sK42(X0) = app(nil,sK42(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_588])]) ).
fof(f1398,plain,
( ! [X0] :
( sK42(X0) = app(nil,sK42(X0))
| sP8(X0) )
| ~ spl71_57
| ~ spl71_116 ),
inference(resolution,[],[f1312,f922]) ).
fof(f6062,plain,
( spl71_587
| ~ spl71_56
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1397,f1311,f917,f6060]) ).
fof(f6060,plain,
( spl71_587
<=> ! [X0] :
( sK41(X0) = app(nil,sK41(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_587])]) ).
fof(f1397,plain,
( ! [X0] :
( sK41(X0) = app(nil,sK41(X0))
| sP8(X0) )
| ~ spl71_56
| ~ spl71_116 ),
inference(resolution,[],[f1312,f918]) ).
fof(f6058,plain,
( spl71_586
| ~ spl71_55
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1396,f1311,f913,f6056]) ).
fof(f6056,plain,
( spl71_586
<=> ! [X0] :
( sK40(X0) = app(nil,sK40(X0))
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_586])]) ).
fof(f1396,plain,
( ! [X0] :
( sK40(X0) = app(nil,sK40(X0))
| sP8(X0) )
| ~ spl71_55
| ~ spl71_116 ),
inference(resolution,[],[f1312,f914]) ).
fof(f6054,plain,
( spl71_585
| ~ spl71_52
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1395,f1311,f901,f6052]) ).
fof(f6052,plain,
( spl71_585
<=> ! [X0] :
( sK37(X0) = app(nil,sK37(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_585])]) ).
fof(f1395,plain,
( ! [X0] :
( sK37(X0) = app(nil,sK37(X0))
| sP6(X0) )
| ~ spl71_52
| ~ spl71_116 ),
inference(resolution,[],[f1312,f902]) ).
fof(f6050,plain,
( spl71_574
| ~ spl71_573
| ~ spl71_107
| ~ spl71_131 ),
inference(avatar_split_clause,[],[f2577,f1421,f1271,f6000,f6004]) ).
fof(f6004,plain,
( spl71_574
<=> sP14(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_574])]) ).
fof(f6000,plain,
( spl71_573
<=> totalorderedP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_573])]) ).
fof(f1421,plain,
( spl71_131
<=> sP15(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_131])]) ).
fof(f2577,plain,
( ~ totalorderedP(sK21)
| sP14(sK21)
| ~ spl71_107
| ~ spl71_131 ),
inference(resolution,[],[f1423,f1272]) ).
fof(f1423,plain,
( sP15(sK21)
| ~ spl71_131 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f6049,plain,
( spl71_584
| ~ spl71_51
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1394,f1311,f897,f6047]) ).
fof(f6047,plain,
( spl71_584
<=> ! [X0] :
( sK36(X0) = app(nil,sK36(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_584])]) ).
fof(f1394,plain,
( ! [X0] :
( sK36(X0) = app(nil,sK36(X0))
| sP6(X0) )
| ~ spl71_51
| ~ spl71_116 ),
inference(resolution,[],[f1312,f898]) ).
fof(f6045,plain,
( spl71_583
| ~ spl71_49
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1393,f1311,f888,f6043]) ).
fof(f6043,plain,
( spl71_583
<=> ! [X0] :
( sK35(X0) = app(nil,sK35(X0))
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_583])]) ).
fof(f1393,plain,
( ! [X0] :
( sK35(X0) = app(nil,sK35(X0))
| sP6(X0) )
| ~ spl71_49
| ~ spl71_116 ),
inference(resolution,[],[f1312,f889]) ).
fof(f6041,plain,
( spl71_582
| ~ spl71_46
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1392,f1311,f876,f6039]) ).
fof(f6039,plain,
( spl71_582
<=> ! [X0] :
( sK32(X0) = app(nil,sK32(X0))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_582])]) ).
fof(f1392,plain,
( ! [X0] :
( sK32(X0) = app(nil,sK32(X0))
| sP4(X0) )
| ~ spl71_46
| ~ spl71_116 ),
inference(resolution,[],[f1312,f877]) ).
fof(f6037,plain,
( spl71_581
| ~ spl71_45
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1391,f1311,f872,f6035]) ).
fof(f6035,plain,
( spl71_581
<=> ! [X0] :
( sK31(X0) = app(nil,sK31(X0))
| sP4(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_581])]) ).
fof(f1391,plain,
( ! [X0] :
( sK31(X0) = app(nil,sK31(X0))
| sP4(X0) )
| ~ spl71_45
| ~ spl71_116 ),
inference(resolution,[],[f1312,f873]) ).
fof(f6033,plain,
( spl71_580
| ~ spl71_79
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1386,f1307,f1011,f6031]) ).
fof(f6031,plain,
( spl71_580
<=> ! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_580])]) ).
fof(f1386,plain,
( ! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| sP16(X0) )
| ~ spl71_79
| ~ spl71_115 ),
inference(resolution,[],[f1308,f1012]) ).
fof(f6029,plain,
( spl71_579
| ~ spl71_78
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1385,f1307,f1007,f6027]) ).
fof(f6027,plain,
( spl71_579
<=> ! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_579])]) ).
fof(f1385,plain,
( ! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| sP16(X0) )
| ~ spl71_78
| ~ spl71_115 ),
inference(resolution,[],[f1308,f1008]) ).
fof(f6025,plain,
( spl71_578
| ~ spl71_77
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1384,f1307,f1003,f6023]) ).
fof(f6023,plain,
( spl71_578
<=> ! [X0] :
( sK60(X0) = app(sK60(X0),nil)
| sP16(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_578])]) ).
fof(f1384,plain,
( ! [X0] :
( sK60(X0) = app(sK60(X0),nil)
| sP16(X0) )
| ~ spl71_77
| ~ spl71_115 ),
inference(resolution,[],[f1308,f1004]) ).
fof(f6021,plain,
( spl71_577
| ~ spl71_74
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1383,f1307,f991,f6019]) ).
fof(f6019,plain,
( spl71_577
<=> ! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_577])]) ).
fof(f1383,plain,
( ! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| sP14(X0) )
| ~ spl71_74
| ~ spl71_115 ),
inference(resolution,[],[f1308,f992]) ).
fof(f6017,plain,
( spl71_576
| ~ spl71_73
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1382,f1307,f987,f6015]) ).
fof(f6015,plain,
( spl71_576
<=> ! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_576])]) ).
fof(f1382,plain,
( ! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| sP14(X0) )
| ~ spl71_73
| ~ spl71_115 ),
inference(resolution,[],[f1308,f988]) ).
fof(f6013,plain,
( spl71_575
| ~ spl71_71
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1381,f1307,f978,f6011]) ).
fof(f6011,plain,
( spl71_575
<=> ! [X0] :
( sK55(X0) = app(sK55(X0),nil)
| sP14(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_575])]) ).
fof(f1381,plain,
( ! [X0] :
( sK55(X0) = app(sK55(X0),nil)
| sP14(X0) )
| ~ spl71_71
| ~ spl71_115 ),
inference(resolution,[],[f1308,f979]) ).
fof(f6007,plain,
( spl71_573
| ~ spl71_574
| ~ spl71_108
| ~ spl71_131 ),
inference(avatar_split_clause,[],[f2576,f1421,f1275,f6004,f6000]) ).
fof(f1275,plain,
( spl71_108
<=> ! [X0] :
( totalorderedP(X0)
| ~ sP14(X0)
| ~ sP15(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_108])]) ).
fof(f2576,plain,
( ~ sP14(sK21)
| totalorderedP(sK21)
| ~ spl71_108
| ~ spl71_131 ),
inference(resolution,[],[f1423,f1276]) ).
fof(f1276,plain,
( ! [X0] :
( ~ sP15(X0)
| ~ sP14(X0)
| totalorderedP(X0) )
| ~ spl71_108 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f5998,plain,
( spl71_572
| ~ spl71_68
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1380,f1307,f966,f5996]) ).
fof(f5996,plain,
( spl71_572
<=> ! [X0] :
( sK52(X0) = app(sK52(X0),nil)
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_572])]) ).
fof(f1380,plain,
( ! [X0] :
( sK52(X0) = app(sK52(X0),nil)
| sP12(X0) )
| ~ spl71_68
| ~ spl71_115 ),
inference(resolution,[],[f1308,f967]) ).
fof(f5994,plain,
( spl71_571
| ~ spl71_67
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1379,f1307,f962,f5992]) ).
fof(f5992,plain,
( spl71_571
<=> ! [X0] :
( sK51(X0) = app(sK51(X0),nil)
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_571])]) ).
fof(f1379,plain,
( ! [X0] :
( sK51(X0) = app(sK51(X0),nil)
| sP12(X0) )
| ~ spl71_67
| ~ spl71_115 ),
inference(resolution,[],[f1308,f963]) ).
fof(f5990,plain,
( spl71_570
| ~ spl71_66
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1378,f1307,f958,f5988]) ).
fof(f5988,plain,
( spl71_570
<=> ! [X0] :
( sK50(X0) = app(sK50(X0),nil)
| sP12(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_570])]) ).
fof(f1378,plain,
( ! [X0] :
( sK50(X0) = app(sK50(X0),nil)
| sP12(X0) )
| ~ spl71_66
| ~ spl71_115 ),
inference(resolution,[],[f1308,f959]) ).
fof(f5986,plain,
( spl71_569
| ~ spl71_63
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1377,f1307,f946,f5984]) ).
fof(f5984,plain,
( spl71_569
<=> ! [X0] :
( sK47(X0) = app(sK47(X0),nil)
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_569])]) ).
fof(f1377,plain,
( ! [X0] :
( sK47(X0) = app(sK47(X0),nil)
| sP10(X0) )
| ~ spl71_63
| ~ spl71_115 ),
inference(resolution,[],[f1308,f947]) ).
fof(f5982,plain,
( spl71_568
| ~ spl71_62
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1376,f1307,f942,f5980]) ).
fof(f5980,plain,
( spl71_568
<=> ! [X0] :
( sK46(X0) = app(sK46(X0),nil)
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_568])]) ).
fof(f1376,plain,
( ! [X0] :
( sK46(X0) = app(sK46(X0),nil)
| sP10(X0) )
| ~ spl71_62
| ~ spl71_115 ),
inference(resolution,[],[f1308,f943]) ).
fof(f5978,plain,
( spl71_567
| ~ spl71_60
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1375,f1307,f933,f5976]) ).
fof(f5976,plain,
( spl71_567
<=> ! [X0] :
( sK45(X0) = app(sK45(X0),nil)
| sP10(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_567])]) ).
fof(f1375,plain,
( ! [X0] :
( sK45(X0) = app(sK45(X0),nil)
| sP10(X0) )
| ~ spl71_60
| ~ spl71_115 ),
inference(resolution,[],[f1308,f934]) ).
fof(f5974,plain,
( spl71_566
| ~ spl71_57
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1374,f1307,f921,f5972]) ).
fof(f5972,plain,
( spl71_566
<=> ! [X0] :
( sK42(X0) = app(sK42(X0),nil)
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_566])]) ).
fof(f1374,plain,
( ! [X0] :
( sK42(X0) = app(sK42(X0),nil)
| sP8(X0) )
| ~ spl71_57
| ~ spl71_115 ),
inference(resolution,[],[f1308,f922]) ).
fof(f5970,plain,
( spl71_565
| ~ spl71_56
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1373,f1307,f917,f5968]) ).
fof(f5968,plain,
( spl71_565
<=> ! [X0] :
( sK41(X0) = app(sK41(X0),nil)
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_565])]) ).
fof(f1373,plain,
( ! [X0] :
( sK41(X0) = app(sK41(X0),nil)
| sP8(X0) )
| ~ spl71_56
| ~ spl71_115 ),
inference(resolution,[],[f1308,f918]) ).
fof(f5966,plain,
( spl71_564
| ~ spl71_55
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1372,f1307,f913,f5964]) ).
fof(f5964,plain,
( spl71_564
<=> ! [X0] :
( sK40(X0) = app(sK40(X0),nil)
| sP8(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_564])]) ).
fof(f1372,plain,
( ! [X0] :
( sK40(X0) = app(sK40(X0),nil)
| sP8(X0) )
| ~ spl71_55
| ~ spl71_115 ),
inference(resolution,[],[f1308,f914]) ).
fof(f5962,plain,
( spl71_563
| ~ spl71_52
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1371,f1307,f901,f5960]) ).
fof(f5960,plain,
( spl71_563
<=> ! [X0] :
( sK37(X0) = app(sK37(X0),nil)
| sP6(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_563])]) ).
fof(f1371,plain,
( ! [X0] :
( sK37(X0) = app(sK37(X0),nil)
| sP6(X0) )
| ~ spl71_52
| ~ spl71_115 ),
inference(resolution,[],[f1308,f902]) ).
fof(f5957,plain,
( spl71_562
| ~ spl71_51
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1370,f1307,f897,f5955]) ).
fof(f1370,plain,
( ! [X0] :
( sK36(X0) = app(sK36(X0),nil)
| sP6(X0) )
| ~ spl71_51
| ~ spl71_115 ),
inference(resolution,[],[f1308,f898]) ).
fof(f5953,plain,
( spl71_561
| ~ spl71_49
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1369,f1307,f888,f5951]) ).
fof(f1369,plain,
( ! [X0] :
( sK35(X0) = app(sK35(X0),nil)
| sP6(X0) )
| ~ spl71_49
| ~ spl71_115 ),
inference(resolution,[],[f1308,f889]) ).
fof(f5949,plain,
( spl71_560
| ~ spl71_46
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1368,f1307,f876,f5947]) ).
fof(f1368,plain,
( ! [X0] :
( sK32(X0) = app(sK32(X0),nil)
| sP4(X0) )
| ~ spl71_46
| ~ spl71_115 ),
inference(resolution,[],[f1308,f877]) ).
fof(f5945,plain,
( spl71_559
| ~ spl71_45
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1367,f1307,f872,f5943]) ).
fof(f1367,plain,
( ! [X0] :
( sK31(X0) = app(sK31(X0),nil)
| sP4(X0) )
| ~ spl71_45
| ~ spl71_115 ),
inference(resolution,[],[f1308,f873]) ).
fof(f5773,plain,
( spl71_557
| ~ spl71_558
| ~ spl71_108
| ~ spl71_129 ),
inference(avatar_split_clause,[],[f2531,f1412,f1275,f5770,f5766]) ).
fof(f5766,plain,
( spl71_557
<=> totalorderedP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_557])]) ).
fof(f5770,plain,
( spl71_558
<=> sP14(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_558])]) ).
fof(f1412,plain,
( spl71_129
<=> sP15(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_129])]) ).
fof(f2531,plain,
( ~ sP14(sK20)
| totalorderedP(sK20)
| ~ spl71_108
| ~ spl71_129 ),
inference(resolution,[],[f1414,f1276]) ).
fof(f1414,plain,
( sP15(sK20)
| ~ spl71_129 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f5710,plain,
( spl71_556
| ~ spl71_288
| ~ spl71_105
| ~ spl71_124 ),
inference(avatar_split_clause,[],[f2512,f1343,f1263,f3347,f5707]) ).
fof(f5707,plain,
( spl71_556
<=> sP12(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_556])]) ).
fof(f3347,plain,
( spl71_288
<=> cyclefreeP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_288])]) ).
fof(f1263,plain,
( spl71_105
<=> ! [X0] :
( sP12(X0)
| ~ cyclefreeP(X0)
| ~ sP13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_105])]) ).
fof(f1343,plain,
( spl71_124
<=> sP13(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_124])]) ).
fof(f2512,plain,
( ~ cyclefreeP(sK23)
| sP12(sK23)
| ~ spl71_105
| ~ spl71_124 ),
inference(resolution,[],[f1345,f1264]) ).
fof(f1264,plain,
( ! [X0] :
( ~ sP13(X0)
| ~ cyclefreeP(X0)
| sP12(X0) )
| ~ spl71_105 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1345,plain,
( sP13(sK23)
| ~ spl71_124 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f5702,plain,
( ~ spl71_16
| spl71_555
| ~ spl71_143
| ~ spl71_171 ),
inference(avatar_split_clause,[],[f1798,f1649,f1471,f5700,f720]) ).
fof(f5700,plain,
( spl71_555
<=> ! [X0] :
( ~ ssItem(X0)
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_555])]) ).
fof(f1649,plain,
( spl71_171
<=> ! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_171])]) ).
fof(f1798,plain,
( ! [X0] :
( ~ ssItem(X0)
| singletonP(cons(X0,nil))
| ~ ssList(nil) )
| ~ spl71_143
| ~ spl71_171 ),
inference(duplicate_literal_removal,[],[f1797]) ).
fof(f1797,plain,
( ! [X0] :
( ~ ssItem(X0)
| singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(nil) )
| ~ spl71_143
| ~ spl71_171 ),
inference(resolution,[],[f1650,f1472]) ).
fof(f1650,plain,
( ! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) )
| ~ spl71_171 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f5698,plain,
( spl71_554
| ~ spl71_16
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1766,f1639,f720,f5696]) ).
fof(f1766,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 )
| ~ spl71_16
| ~ spl71_169 ),
inference(resolution,[],[f1640,f722]) ).
fof(f5694,plain,
( spl71_553
| ~ spl71_16
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1735,f1635,f720,f5692]) ).
fof(f1735,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl71_16
| ~ spl71_168 ),
inference(resolution,[],[f1636,f722]) ).
fof(f5690,plain,
( spl71_552
| ~ spl71_30
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1539,f1475,f782,f5688]) ).
fof(f5688,plain,
( spl71_552
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP17(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_552])]) ).
fof(f1539,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP17(app(X1,X0)) )
| ~ spl71_30
| ~ spl71_144 ),
inference(resolution,[],[f1476,f783]) ).
fof(f5686,plain,
( spl71_551
| ~ spl71_29
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1538,f1475,f778,f5684]) ).
fof(f5684,plain,
( spl71_551
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP15(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_551])]) ).
fof(f1538,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP15(app(X1,X0)) )
| ~ spl71_29
| ~ spl71_144 ),
inference(resolution,[],[f1476,f779]) ).
fof(f5682,plain,
( spl71_550
| ~ spl71_28
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1537,f1475,f774,f5680]) ).
fof(f5680,plain,
( spl71_550
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP13(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_550])]) ).
fof(f1537,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP13(app(X1,X0)) )
| ~ spl71_28
| ~ spl71_144 ),
inference(resolution,[],[f1476,f775]) ).
fof(f5678,plain,
( spl71_549
| ~ spl71_27
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1536,f1475,f770,f5676]) ).
fof(f5676,plain,
( spl71_549
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP11(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_549])]) ).
fof(f1536,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP11(app(X1,X0)) )
| ~ spl71_27
| ~ spl71_144 ),
inference(resolution,[],[f1476,f771]) ).
fof(f5674,plain,
( spl71_548
| ~ spl71_26
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1535,f1475,f766,f5672]) ).
fof(f5672,plain,
( spl71_548
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP9(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_548])]) ).
fof(f1535,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP9(app(X1,X0)) )
| ~ spl71_26
| ~ spl71_144 ),
inference(resolution,[],[f1476,f767]) ).
fof(f5670,plain,
( spl71_537
| ~ spl71_536
| ~ spl71_105
| ~ spl71_113 ),
inference(avatar_split_clause,[],[f2470,f1298,f1263,f5620,f5624]) ).
fof(f5624,plain,
( spl71_537
<=> sP12(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_537])]) ).
fof(f5620,plain,
( spl71_536
<=> cyclefreeP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_536])]) ).
fof(f1298,plain,
( spl71_113
<=> sP13(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_113])]) ).
fof(f2470,plain,
( ~ cyclefreeP(sK21)
| sP12(sK21)
| ~ spl71_105
| ~ spl71_113 ),
inference(resolution,[],[f1300,f1264]) ).
fof(f1300,plain,
( sP13(sK21)
| ~ spl71_113 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f5669,plain,
( spl71_547
| ~ spl71_25
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1534,f1475,f762,f5667]) ).
fof(f5667,plain,
( spl71_547
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP7(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_547])]) ).
fof(f1534,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP7(app(X1,X0)) )
| ~ spl71_25
| ~ spl71_144 ),
inference(resolution,[],[f1476,f763]) ).
fof(f5665,plain,
( spl71_546
| ~ spl71_24
| ~ spl71_144 ),
inference(avatar_split_clause,[],[f1533,f1475,f758,f5663]) ).
fof(f5663,plain,
( spl71_546
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP5(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_546])]) ).
fof(f1533,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sP5(app(X1,X0)) )
| ~ spl71_24
| ~ spl71_144 ),
inference(resolution,[],[f1476,f759]) ).
fof(f5661,plain,
( spl71_545
| ~ spl71_30
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1530,f1471,f782,f5659]) ).
fof(f5659,plain,
( spl71_545
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP17(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_545])]) ).
fof(f1530,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP17(cons(X0,X1)) )
| ~ spl71_30
| ~ spl71_143 ),
inference(resolution,[],[f1472,f783]) ).
fof(f5657,plain,
( spl71_544
| ~ spl71_29
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1529,f1471,f778,f5655]) ).
fof(f5655,plain,
( spl71_544
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP15(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_544])]) ).
fof(f1529,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP15(cons(X0,X1)) )
| ~ spl71_29
| ~ spl71_143 ),
inference(resolution,[],[f1472,f779]) ).
fof(f5653,plain,
( spl71_543
| ~ spl71_28
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1528,f1471,f774,f5651]) ).
fof(f5651,plain,
( spl71_543
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP13(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_543])]) ).
fof(f1528,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP13(cons(X0,X1)) )
| ~ spl71_28
| ~ spl71_143 ),
inference(resolution,[],[f1472,f775]) ).
fof(f5649,plain,
( spl71_542
| ~ spl71_27
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1527,f1471,f770,f5647]) ).
fof(f5647,plain,
( spl71_542
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP11(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_542])]) ).
fof(f1527,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP11(cons(X0,X1)) )
| ~ spl71_27
| ~ spl71_143 ),
inference(resolution,[],[f1472,f771]) ).
fof(f5645,plain,
( spl71_541
| ~ spl71_26
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1526,f1471,f766,f5643]) ).
fof(f5643,plain,
( spl71_541
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP9(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_541])]) ).
fof(f1526,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP9(cons(X0,X1)) )
| ~ spl71_26
| ~ spl71_143 ),
inference(resolution,[],[f1472,f767]) ).
fof(f5641,plain,
( spl71_540
| ~ spl71_25
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1525,f1471,f762,f5639]) ).
fof(f5639,plain,
( spl71_540
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP7(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_540])]) ).
fof(f1525,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP7(cons(X0,X1)) )
| ~ spl71_25
| ~ spl71_143 ),
inference(resolution,[],[f1472,f763]) ).
fof(f5637,plain,
( spl71_539
| ~ spl71_24
| ~ spl71_143 ),
inference(avatar_split_clause,[],[f1524,f1471,f758,f5635]) ).
fof(f5635,plain,
( spl71_539
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP5(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_539])]) ).
fof(f1524,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sP5(cons(X0,X1)) )
| ~ spl71_24
| ~ spl71_143 ),
inference(resolution,[],[f1472,f759]) ).
fof(f5633,plain,
( spl71_538
| ~ spl71_30
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1504,f1450,f782,f5631]) ).
fof(f5631,plain,
( spl71_538
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP17(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_538])]) ).
fof(f1504,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP17(sK27(X0)) )
| ~ spl71_30
| ~ spl71_138 ),
inference(resolution,[],[f1451,f783]) ).
fof(f5627,plain,
( spl71_536
| ~ spl71_537
| ~ spl71_106
| ~ spl71_113 ),
inference(avatar_split_clause,[],[f2469,f1298,f1267,f5624,f5620]) ).
fof(f1267,plain,
( spl71_106
<=> ! [X0] :
( cyclefreeP(X0)
| ~ sP12(X0)
| ~ sP13(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_106])]) ).
fof(f2469,plain,
( ~ sP12(sK21)
| cyclefreeP(sK21)
| ~ spl71_106
| ~ spl71_113 ),
inference(resolution,[],[f1300,f1268]) ).
fof(f1268,plain,
( ! [X0] :
( ~ sP13(X0)
| ~ sP12(X0)
| cyclefreeP(X0) )
| ~ spl71_106 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f5618,plain,
( spl71_535
| ~ spl71_29
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1503,f1450,f778,f5616]) ).
fof(f5616,plain,
( spl71_535
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP15(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_535])]) ).
fof(f1503,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP15(sK27(X0)) )
| ~ spl71_29
| ~ spl71_138 ),
inference(resolution,[],[f1451,f779]) ).
fof(f5614,plain,
( spl71_534
| ~ spl71_28
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1502,f1450,f774,f5612]) ).
fof(f5612,plain,
( spl71_534
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP13(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_534])]) ).
fof(f1502,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP13(sK27(X0)) )
| ~ spl71_28
| ~ spl71_138 ),
inference(resolution,[],[f1451,f775]) ).
fof(f5610,plain,
( spl71_533
| ~ spl71_27
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1501,f1450,f770,f5608]) ).
fof(f5608,plain,
( spl71_533
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP11(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_533])]) ).
fof(f1501,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP11(sK27(X0)) )
| ~ spl71_27
| ~ spl71_138 ),
inference(resolution,[],[f1451,f771]) ).
fof(f5606,plain,
( spl71_532
| ~ spl71_26
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1500,f1450,f766,f5604]) ).
fof(f5604,plain,
( spl71_532
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP9(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_532])]) ).
fof(f1500,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP9(sK27(X0)) )
| ~ spl71_26
| ~ spl71_138 ),
inference(resolution,[],[f1451,f767]) ).
fof(f5602,plain,
( spl71_531
| ~ spl71_25
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1499,f1450,f762,f5600]) ).
fof(f5600,plain,
( spl71_531
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP7(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_531])]) ).
fof(f1499,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP7(sK27(X0)) )
| ~ spl71_25
| ~ spl71_138 ),
inference(resolution,[],[f1451,f763]) ).
fof(f5598,plain,
( spl71_530
| ~ spl71_24
| ~ spl71_138 ),
inference(avatar_split_clause,[],[f1498,f1450,f758,f5596]) ).
fof(f5596,plain,
( spl71_530
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP5(sK27(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_530])]) ).
fof(f1498,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP5(sK27(X0)) )
| ~ spl71_24
| ~ spl71_138 ),
inference(resolution,[],[f1451,f759]) ).
fof(f5594,plain,
( spl71_529
| ~ spl71_30
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1495,f1442,f782,f5592]) ).
fof(f5592,plain,
( spl71_529
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP17(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_529])]) ).
fof(f1495,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP17(tl(X0)) )
| ~ spl71_30
| ~ spl71_136 ),
inference(resolution,[],[f1443,f783]) ).
fof(f5590,plain,
( spl71_528
| ~ spl71_29
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1494,f1442,f778,f5588]) ).
fof(f5588,plain,
( spl71_528
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP15(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_528])]) ).
fof(f1494,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP15(tl(X0)) )
| ~ spl71_29
| ~ spl71_136 ),
inference(resolution,[],[f1443,f779]) ).
fof(f5586,plain,
( spl71_527
| ~ spl71_28
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1493,f1442,f774,f5584]) ).
fof(f5584,plain,
( spl71_527
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP13(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_527])]) ).
fof(f1493,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP13(tl(X0)) )
| ~ spl71_28
| ~ spl71_136 ),
inference(resolution,[],[f1443,f775]) ).
fof(f5582,plain,
( spl71_526
| ~ spl71_27
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1492,f1442,f770,f5580]) ).
fof(f5580,plain,
( spl71_526
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP11(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_526])]) ).
fof(f1492,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP11(tl(X0)) )
| ~ spl71_27
| ~ spl71_136 ),
inference(resolution,[],[f1443,f771]) ).
fof(f5577,plain,
( spl71_525
| ~ spl71_26
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1491,f1442,f766,f5575]) ).
fof(f5575,plain,
( spl71_525
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP9(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_525])]) ).
fof(f1491,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP9(tl(X0)) )
| ~ spl71_26
| ~ spl71_136 ),
inference(resolution,[],[f1443,f767]) ).
fof(f5573,plain,
( spl71_524
| ~ spl71_25
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1490,f1442,f762,f5571]) ).
fof(f5571,plain,
( spl71_524
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP7(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_524])]) ).
fof(f1490,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP7(tl(X0)) )
| ~ spl71_25
| ~ spl71_136 ),
inference(resolution,[],[f1443,f763]) ).
fof(f5569,plain,
( spl71_523
| ~ spl71_24
| ~ spl71_136 ),
inference(avatar_split_clause,[],[f1489,f1442,f758,f5567]) ).
fof(f5567,plain,
( spl71_523
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP5(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_523])]) ).
fof(f1489,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP5(tl(X0)) )
| ~ spl71_24
| ~ spl71_136 ),
inference(resolution,[],[f1443,f759]) ).
fof(f5565,plain,
( spl71_522
| ~ spl71_30
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1486,f1430,f782,f5563]) ).
fof(f5563,plain,
( spl71_522
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP17(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_522])]) ).
fof(f1486,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP17(sK24(X0)) )
| ~ spl71_30
| ~ spl71_133 ),
inference(resolution,[],[f1431,f783]) ).
fof(f5561,plain,
( spl71_521
| ~ spl71_29
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1485,f1430,f778,f5559]) ).
fof(f5559,plain,
( spl71_521
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP15(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_521])]) ).
fof(f1485,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP15(sK24(X0)) )
| ~ spl71_29
| ~ spl71_133 ),
inference(resolution,[],[f1431,f779]) ).
fof(f5557,plain,
( spl71_520
| ~ spl71_28
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1484,f1430,f774,f5555]) ).
fof(f5555,plain,
( spl71_520
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP13(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_520])]) ).
fof(f1484,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP13(sK24(X0)) )
| ~ spl71_28
| ~ spl71_133 ),
inference(resolution,[],[f1431,f775]) ).
fof(f5553,plain,
( spl71_519
| ~ spl71_27
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1483,f1430,f770,f5551]) ).
fof(f5551,plain,
( spl71_519
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP11(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_519])]) ).
fof(f1483,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP11(sK24(X0)) )
| ~ spl71_27
| ~ spl71_133 ),
inference(resolution,[],[f1431,f771]) ).
fof(f5549,plain,
( spl71_518
| ~ spl71_26
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1482,f1430,f766,f5547]) ).
fof(f5547,plain,
( spl71_518
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP9(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_518])]) ).
fof(f1482,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP9(sK24(X0)) )
| ~ spl71_26
| ~ spl71_133 ),
inference(resolution,[],[f1431,f767]) ).
fof(f5545,plain,
( spl71_517
| ~ spl71_25
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1481,f1430,f762,f5543]) ).
fof(f5543,plain,
( spl71_517
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP7(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_517])]) ).
fof(f1481,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP7(sK24(X0)) )
| ~ spl71_25
| ~ spl71_133 ),
inference(resolution,[],[f1431,f763]) ).
fof(f5541,plain,
( spl71_516
| ~ spl71_24
| ~ spl71_133 ),
inference(avatar_split_clause,[],[f1480,f1430,f758,f5539]) ).
fof(f5539,plain,
( spl71_516
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP5(sK24(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_516])]) ).
fof(f1480,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| sP5(sK24(X0)) )
| ~ spl71_24
| ~ spl71_133 ),
inference(resolution,[],[f1431,f759]) ).
fof(f5532,plain,
( ~ spl71_4
| ~ spl71_5
| ~ spl71_16
| spl71_515
| ~ spl71_20
| ~ spl71_240 ),
inference(avatar_split_clause,[],[f2611,f2601,f740,f5530,f720,f666,f661]) ).
fof(f5530,plain,
( spl71_515
<=> ! [X0,X1] :
( ~ sP12(app(sK20,cons(X0,X1)))
| ~ leq(X0,sK22)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ leq(sK22,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_515])]) ).
fof(f2611,plain,
( ! [X0,X1] :
( ~ sP12(app(sK20,cons(X0,X1)))
| ~ leq(sK22,X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(X0)
| ~ ssItem(sK22)
| ~ leq(X0,sK22) )
| ~ spl71_20
| ~ spl71_240 ),
inference(superposition,[],[f2602,f742]) ).
fof(f5523,plain,
( ~ spl71_4
| ~ spl71_5
| ~ spl71_16
| spl71_514
| ~ spl71_20
| ~ spl71_239 ),
inference(avatar_split_clause,[],[f2607,f2597,f740,f5521,f720,f666,f661]) ).
fof(f5521,plain,
( spl71_514
<=> ! [X0,X1] :
( ~ sP10(app(sK20,cons(X0,X1)))
| lt(X0,sK22)
| ~ ssItem(X0)
| ~ ssList(X1)
| lt(sK22,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_514])]) ).
fof(f2607,plain,
( ! [X0,X1] :
( ~ sP10(app(sK20,cons(X0,X1)))
| lt(sK22,X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(X0)
| ~ ssItem(sK22)
| lt(X0,sK22) )
| ~ spl71_20
| ~ spl71_239 ),
inference(superposition,[],[f2598,f742]) ).
fof(f5514,plain,
( ~ spl71_4
| ~ spl71_5
| ~ spl71_16
| spl71_513
| ~ spl71_20
| ~ spl71_238 ),
inference(avatar_split_clause,[],[f2605,f2593,f740,f5512,f720,f666,f661]) ).
fof(f5512,plain,
( spl71_513
<=> ! [X0,X1] :
( ~ sP8(app(sK20,cons(X0,X1)))
| leq(X0,sK22)
| ~ ssItem(X0)
| ~ ssList(X1)
| leq(sK22,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_513])]) ).
fof(f2605,plain,
( ! [X0,X1] :
( ~ sP8(app(sK20,cons(X0,X1)))
| leq(sK22,X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(X0)
| ~ ssItem(sK22)
| leq(X0,sK22) )
| ~ spl71_20
| ~ spl71_238 ),
inference(superposition,[],[f2594,f742]) ).
fof(f5474,plain,
( spl71_511
| ~ spl71_512
| ~ spl71_106
| ~ spl71_111 ),
inference(avatar_split_clause,[],[f2363,f1289,f1267,f5471,f5467]) ).
fof(f5467,plain,
( spl71_511
<=> cyclefreeP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_511])]) ).
fof(f5471,plain,
( spl71_512
<=> sP12(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_512])]) ).
fof(f1289,plain,
( spl71_111
<=> sP13(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_111])]) ).
fof(f2363,plain,
( ~ sP12(sK20)
| cyclefreeP(sK20)
| ~ spl71_106
| ~ spl71_111 ),
inference(resolution,[],[f1291,f1268]) ).
fof(f1291,plain,
( sP13(sK20)
| ~ spl71_111 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f5425,plain,
( spl71_510
| ~ spl71_295
| ~ spl71_102
| ~ spl71_103 ),
inference(avatar_split_clause,[],[f2288,f1255,f1250,f3487,f5422]) ).
fof(f5422,plain,
( spl71_510
<=> sP10(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_510])]) ).
fof(f3487,plain,
( spl71_295
<=> strictorderP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_295])]) ).
fof(f1250,plain,
( spl71_102
<=> sP11(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_102])]) ).
fof(f1255,plain,
( spl71_103
<=> ! [X0] :
( sP10(X0)
| ~ strictorderP(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_103])]) ).
fof(f2288,plain,
( ~ strictorderP(sK23)
| sP10(sK23)
| ~ spl71_102
| ~ spl71_103 ),
inference(resolution,[],[f1252,f1256]) ).
fof(f1256,plain,
( ! [X0] :
( ~ sP11(X0)
| ~ strictorderP(X0)
| sP10(X0) )
| ~ spl71_103 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1252,plain,
( sP11(sK23)
| ~ spl71_102 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f5400,plain,
( spl71_509
| ~ spl71_508
| ~ spl71_91
| ~ spl71_103 ),
inference(avatar_split_clause,[],[f2253,f1255,f1205,f5370,f5374]) ).
fof(f5374,plain,
( spl71_509
<=> sP10(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_509])]) ).
fof(f5370,plain,
( spl71_508
<=> strictorderP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_508])]) ).
fof(f1205,plain,
( spl71_91
<=> sP11(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_91])]) ).
fof(f2253,plain,
( ~ strictorderP(sK21)
| sP10(sK21)
| ~ spl71_91
| ~ spl71_103 ),
inference(resolution,[],[f1207,f1256]) ).
fof(f1207,plain,
( sP11(sK21)
| ~ spl71_91 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f5377,plain,
( spl71_508
| ~ spl71_509
| ~ spl71_91
| ~ spl71_104 ),
inference(avatar_split_clause,[],[f2252,f1259,f1205,f5374,f5370]) ).
fof(f1259,plain,
( spl71_104
<=> ! [X0] :
( strictorderP(X0)
| ~ sP10(X0)
| ~ sP11(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_104])]) ).
fof(f2252,plain,
( ~ sP10(sK21)
| strictorderP(sK21)
| ~ spl71_91
| ~ spl71_104 ),
inference(resolution,[],[f1207,f1260]) ).
fof(f1260,plain,
( ! [X0] :
( ~ sP11(X0)
| ~ sP10(X0)
| strictorderP(X0) )
| ~ spl71_104 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f5307,plain,
( spl71_506
| ~ spl71_507
| ~ spl71_86
| ~ spl71_104 ),
inference(avatar_split_clause,[],[f2208,f1259,f1162,f5304,f5300]) ).
fof(f5300,plain,
( spl71_506
<=> strictorderP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_506])]) ).
fof(f5304,plain,
( spl71_507
<=> sP10(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_507])]) ).
fof(f1162,plain,
( spl71_86
<=> sP11(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_86])]) ).
fof(f2208,plain,
( ~ sP10(sK20)
| strictorderP(sK20)
| ~ spl71_86
| ~ spl71_104 ),
inference(resolution,[],[f1164,f1260]) ).
fof(f1164,plain,
( sP11(sK20)
| ~ spl71_86 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f5258,plain,
( spl71_505
| ~ spl71_302
| ~ spl71_85
| ~ spl71_100 ),
inference(avatar_split_clause,[],[f2138,f1242,f1115,f3547,f5255]) ).
fof(f5255,plain,
( spl71_505
<=> sP8(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_505])]) ).
fof(f3547,plain,
( spl71_302
<=> totalorderP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_302])]) ).
fof(f1115,plain,
( spl71_85
<=> sP9(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_85])]) ).
fof(f1242,plain,
( spl71_100
<=> ! [X0] :
( sP8(X0)
| ~ totalorderP(X0)
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_100])]) ).
fof(f2138,plain,
( ~ totalorderP(sK23)
| sP8(sK23)
| ~ spl71_85
| ~ spl71_100 ),
inference(resolution,[],[f1117,f1243]) ).
fof(f1243,plain,
( ! [X0] :
( ~ sP9(X0)
| ~ totalorderP(X0)
| sP8(X0) )
| ~ spl71_100 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1117,plain,
( sP9(sK23)
| ~ spl71_85 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f5233,plain,
( spl71_504
| ~ spl71_503
| ~ spl71_84
| ~ spl71_100 ),
inference(avatar_split_clause,[],[f2096,f1242,f1068,f5203,f5207]) ).
fof(f5207,plain,
( spl71_504
<=> sP8(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_504])]) ).
fof(f5203,plain,
( spl71_503
<=> totalorderP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_503])]) ).
fof(f1068,plain,
( spl71_84
<=> sP9(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_84])]) ).
fof(f2096,plain,
( ~ totalorderP(sK21)
| sP8(sK21)
| ~ spl71_84
| ~ spl71_100 ),
inference(resolution,[],[f1070,f1243]) ).
fof(f1070,plain,
( sP9(sK21)
| ~ spl71_84 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f5210,plain,
( spl71_503
| ~ spl71_504
| ~ spl71_84
| ~ spl71_101 ),
inference(avatar_split_clause,[],[f2095,f1246,f1068,f5207,f5203]) ).
fof(f1246,plain,
( spl71_101
<=> ! [X0] :
( totalorderP(X0)
| ~ sP8(X0)
| ~ sP9(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_101])]) ).
fof(f2095,plain,
( ~ sP8(sK21)
| totalorderP(sK21)
| ~ spl71_84
| ~ spl71_101 ),
inference(resolution,[],[f1070,f1247]) ).
fof(f1247,plain,
( ! [X0] :
( ~ sP9(X0)
| ~ sP8(X0)
| totalorderP(X0) )
| ~ spl71_101 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f5146,plain,
( spl71_502
| ~ spl71_16
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1363,f1307,f720,f5143]) ).
fof(f5143,plain,
( spl71_502
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_502])]) ).
fof(f1363,plain,
( nil = app(nil,nil)
| ~ spl71_16
| ~ spl71_115 ),
inference(resolution,[],[f1308,f722]) ).
fof(f5141,plain,
( spl71_501
| ~ spl71_30
| ~ spl71_79 ),
inference(avatar_split_clause,[],[f1186,f1011,f782,f5139]) ).
fof(f5139,plain,
( spl71_501
<=> ! [X0] :
( sP16(X0)
| sP17(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_501])]) ).
fof(f1186,plain,
( ! [X0] :
( sP16(X0)
| sP17(sK62(X0)) )
| ~ spl71_30
| ~ spl71_79 ),
inference(resolution,[],[f1012,f783]) ).
fof(f5137,plain,
( spl71_500
| ~ spl71_29
| ~ spl71_79 ),
inference(avatar_split_clause,[],[f1185,f1011,f778,f5135]) ).
fof(f5135,plain,
( spl71_500
<=> ! [X0] :
( sP16(X0)
| sP15(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_500])]) ).
fof(f1185,plain,
( ! [X0] :
( sP16(X0)
| sP15(sK62(X0)) )
| ~ spl71_29
| ~ spl71_79 ),
inference(resolution,[],[f1012,f779]) ).
fof(f5133,plain,
( spl71_498
| ~ spl71_499
| ~ spl71_83
| ~ spl71_101 ),
inference(avatar_split_clause,[],[f2022,f1246,f1028,f5130,f5126]) ).
fof(f5126,plain,
( spl71_498
<=> totalorderP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_498])]) ).
fof(f5130,plain,
( spl71_499
<=> sP8(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_499])]) ).
fof(f1028,plain,
( spl71_83
<=> sP9(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_83])]) ).
fof(f2022,plain,
( ~ sP8(sK20)
| totalorderP(sK20)
| ~ spl71_83
| ~ spl71_101 ),
inference(resolution,[],[f1030,f1247]) ).
fof(f1030,plain,
( sP9(sK20)
| ~ spl71_83 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f5124,plain,
( spl71_497
| ~ spl71_28
| ~ spl71_79 ),
inference(avatar_split_clause,[],[f1184,f1011,f774,f5122]) ).
fof(f5122,plain,
( spl71_497
<=> ! [X0] :
( sP16(X0)
| sP13(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_497])]) ).
fof(f1184,plain,
( ! [X0] :
( sP16(X0)
| sP13(sK62(X0)) )
| ~ spl71_28
| ~ spl71_79 ),
inference(resolution,[],[f1012,f775]) ).
fof(f5120,plain,
( spl71_496
| ~ spl71_27
| ~ spl71_79 ),
inference(avatar_split_clause,[],[f1183,f1011,f770,f5118]) ).
fof(f5118,plain,
( spl71_496
<=> ! [X0] :
( sP16(X0)
| sP11(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_496])]) ).
fof(f1183,plain,
( ! [X0] :
( sP16(X0)
| sP11(sK62(X0)) )
| ~ spl71_27
| ~ spl71_79 ),
inference(resolution,[],[f1012,f771]) ).
fof(f5116,plain,
( spl71_495
| ~ spl71_26
| ~ spl71_79 ),
inference(avatar_split_clause,[],[f1182,f1011,f766,f5114]) ).
fof(f5114,plain,
( spl71_495
<=> ! [X0] :
( sP16(X0)
| sP9(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_495])]) ).
fof(f1182,plain,
( ! [X0] :
( sP16(X0)
| sP9(sK62(X0)) )
| ~ spl71_26
| ~ spl71_79 ),
inference(resolution,[],[f1012,f767]) ).
fof(f5112,plain,
( spl71_494
| ~ spl71_25
| ~ spl71_79 ),
inference(avatar_split_clause,[],[f1181,f1011,f762,f5110]) ).
fof(f5110,plain,
( spl71_494
<=> ! [X0] :
( sP16(X0)
| sP7(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_494])]) ).
fof(f1181,plain,
( ! [X0] :
( sP16(X0)
| sP7(sK62(X0)) )
| ~ spl71_25
| ~ spl71_79 ),
inference(resolution,[],[f1012,f763]) ).
fof(f5108,plain,
( spl71_493
| ~ spl71_24
| ~ spl71_79 ),
inference(avatar_split_clause,[],[f1180,f1011,f758,f5106]) ).
fof(f5106,plain,
( spl71_493
<=> ! [X0] :
( sP16(X0)
| sP5(sK62(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_493])]) ).
fof(f1180,plain,
( ! [X0] :
( sP16(X0)
| sP5(sK62(X0)) )
| ~ spl71_24
| ~ spl71_79 ),
inference(resolution,[],[f1012,f759]) ).
fof(f5104,plain,
( spl71_492
| ~ spl71_30
| ~ spl71_78 ),
inference(avatar_split_clause,[],[f1179,f1007,f782,f5102]) ).
fof(f5102,plain,
( spl71_492
<=> ! [X0] :
( sP16(X0)
| sP17(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_492])]) ).
fof(f1179,plain,
( ! [X0] :
( sP16(X0)
| sP17(sK61(X0)) )
| ~ spl71_30
| ~ spl71_78 ),
inference(resolution,[],[f1008,f783]) ).
fof(f5100,plain,
( spl71_491
| ~ spl71_29
| ~ spl71_78 ),
inference(avatar_split_clause,[],[f1178,f1007,f778,f5098]) ).
fof(f5098,plain,
( spl71_491
<=> ! [X0] :
( sP16(X0)
| sP15(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_491])]) ).
fof(f1178,plain,
( ! [X0] :
( sP16(X0)
| sP15(sK61(X0)) )
| ~ spl71_29
| ~ spl71_78 ),
inference(resolution,[],[f1008,f779]) ).
fof(f5096,plain,
( spl71_490
| ~ spl71_28
| ~ spl71_78 ),
inference(avatar_split_clause,[],[f1177,f1007,f774,f5094]) ).
fof(f5094,plain,
( spl71_490
<=> ! [X0] :
( sP16(X0)
| sP13(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_490])]) ).
fof(f1177,plain,
( ! [X0] :
( sP16(X0)
| sP13(sK61(X0)) )
| ~ spl71_28
| ~ spl71_78 ),
inference(resolution,[],[f1008,f775]) ).
fof(f5092,plain,
( spl71_489
| ~ spl71_27
| ~ spl71_78 ),
inference(avatar_split_clause,[],[f1176,f1007,f770,f5090]) ).
fof(f5090,plain,
( spl71_489
<=> ! [X0] :
( sP16(X0)
| sP11(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_489])]) ).
fof(f1176,plain,
( ! [X0] :
( sP16(X0)
| sP11(sK61(X0)) )
| ~ spl71_27
| ~ spl71_78 ),
inference(resolution,[],[f1008,f771]) ).
fof(f5088,plain,
( spl71_488
| ~ spl71_26
| ~ spl71_78 ),
inference(avatar_split_clause,[],[f1175,f1007,f766,f5086]) ).
fof(f5086,plain,
( spl71_488
<=> ! [X0] :
( sP16(X0)
| sP9(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_488])]) ).
fof(f1175,plain,
( ! [X0] :
( sP16(X0)
| sP9(sK61(X0)) )
| ~ spl71_26
| ~ spl71_78 ),
inference(resolution,[],[f1008,f767]) ).
fof(f5082,plain,
( spl71_487
| ~ spl71_25
| ~ spl71_78 ),
inference(avatar_split_clause,[],[f1174,f1007,f762,f5080]) ).
fof(f5080,plain,
( spl71_487
<=> ! [X0] :
( sP16(X0)
| sP7(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_487])]) ).
fof(f1174,plain,
( ! [X0] :
( sP16(X0)
| sP7(sK61(X0)) )
| ~ spl71_25
| ~ spl71_78 ),
inference(resolution,[],[f1008,f763]) ).
fof(f5078,plain,
( spl71_486
| ~ spl71_24
| ~ spl71_78 ),
inference(avatar_split_clause,[],[f1173,f1007,f758,f5076]) ).
fof(f5076,plain,
( spl71_486
<=> ! [X0] :
( sP16(X0)
| sP5(sK61(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_486])]) ).
fof(f1173,plain,
( ! [X0] :
( sP16(X0)
| sP5(sK61(X0)) )
| ~ spl71_24
| ~ spl71_78 ),
inference(resolution,[],[f1008,f759]) ).
fof(f5074,plain,
( spl71_485
| ~ spl71_30
| ~ spl71_77 ),
inference(avatar_split_clause,[],[f1172,f1003,f782,f5072]) ).
fof(f5072,plain,
( spl71_485
<=> ! [X0] :
( sP16(X0)
| sP17(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_485])]) ).
fof(f1172,plain,
( ! [X0] :
( sP16(X0)
| sP17(sK60(X0)) )
| ~ spl71_30
| ~ spl71_77 ),
inference(resolution,[],[f1004,f783]) ).
fof(f5070,plain,
( spl71_484
| ~ spl71_29
| ~ spl71_77 ),
inference(avatar_split_clause,[],[f1171,f1003,f778,f5068]) ).
fof(f5068,plain,
( spl71_484
<=> ! [X0] :
( sP16(X0)
| sP15(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_484])]) ).
fof(f1171,plain,
( ! [X0] :
( sP16(X0)
| sP15(sK60(X0)) )
| ~ spl71_29
| ~ spl71_77 ),
inference(resolution,[],[f1004,f779]) ).
fof(f5066,plain,
( spl71_483
| ~ spl71_28
| ~ spl71_77 ),
inference(avatar_split_clause,[],[f1170,f1003,f774,f5064]) ).
fof(f5064,plain,
( spl71_483
<=> ! [X0] :
( sP16(X0)
| sP13(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_483])]) ).
fof(f1170,plain,
( ! [X0] :
( sP16(X0)
| sP13(sK60(X0)) )
| ~ spl71_28
| ~ spl71_77 ),
inference(resolution,[],[f1004,f775]) ).
fof(f5062,plain,
( spl71_482
| ~ spl71_27
| ~ spl71_77 ),
inference(avatar_split_clause,[],[f1169,f1003,f770,f5060]) ).
fof(f5060,plain,
( spl71_482
<=> ! [X0] :
( sP16(X0)
| sP11(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_482])]) ).
fof(f1169,plain,
( ! [X0] :
( sP16(X0)
| sP11(sK60(X0)) )
| ~ spl71_27
| ~ spl71_77 ),
inference(resolution,[],[f1004,f771]) ).
fof(f5058,plain,
( spl71_481
| ~ spl71_26
| ~ spl71_77 ),
inference(avatar_split_clause,[],[f1168,f1003,f766,f5056]) ).
fof(f5056,plain,
( spl71_481
<=> ! [X0] :
( sP16(X0)
| sP9(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_481])]) ).
fof(f1168,plain,
( ! [X0] :
( sP16(X0)
| sP9(sK60(X0)) )
| ~ spl71_26
| ~ spl71_77 ),
inference(resolution,[],[f1004,f767]) ).
fof(f5054,plain,
( spl71_480
| ~ spl71_25
| ~ spl71_77 ),
inference(avatar_split_clause,[],[f1167,f1003,f762,f5052]) ).
fof(f5052,plain,
( spl71_480
<=> ! [X0] :
( sP16(X0)
| sP7(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_480])]) ).
fof(f1167,plain,
( ! [X0] :
( sP16(X0)
| sP7(sK60(X0)) )
| ~ spl71_25
| ~ spl71_77 ),
inference(resolution,[],[f1004,f763]) ).
fof(f5050,plain,
( spl71_479
| ~ spl71_24
| ~ spl71_77 ),
inference(avatar_split_clause,[],[f1166,f1003,f758,f5048]) ).
fof(f5048,plain,
( spl71_479
<=> ! [X0] :
( sP16(X0)
| sP5(sK60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_479])]) ).
fof(f1166,plain,
( ! [X0] :
( sP16(X0)
| sP5(sK60(X0)) )
| ~ spl71_24
| ~ spl71_77 ),
inference(resolution,[],[f1004,f759]) ).
fof(f5046,plain,
( spl71_478
| ~ spl71_30
| ~ spl71_74 ),
inference(avatar_split_clause,[],[f1160,f991,f782,f5044]) ).
fof(f5044,plain,
( spl71_478
<=> ! [X0] :
( sP14(X0)
| sP17(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_478])]) ).
fof(f1160,plain,
( ! [X0] :
( sP14(X0)
| sP17(sK57(X0)) )
| ~ spl71_30
| ~ spl71_74 ),
inference(resolution,[],[f992,f783]) ).
fof(f5042,plain,
( spl71_477
| ~ spl71_29
| ~ spl71_74 ),
inference(avatar_split_clause,[],[f1159,f991,f778,f5040]) ).
fof(f5040,plain,
( spl71_477
<=> ! [X0] :
( sP14(X0)
| sP15(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_477])]) ).
fof(f1159,plain,
( ! [X0] :
( sP14(X0)
| sP15(sK57(X0)) )
| ~ spl71_29
| ~ spl71_74 ),
inference(resolution,[],[f992,f779]) ).
fof(f5038,plain,
( spl71_476
| ~ spl71_28
| ~ spl71_74 ),
inference(avatar_split_clause,[],[f1158,f991,f774,f5036]) ).
fof(f5036,plain,
( spl71_476
<=> ! [X0] :
( sP14(X0)
| sP13(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_476])]) ).
fof(f1158,plain,
( ! [X0] :
( sP14(X0)
| sP13(sK57(X0)) )
| ~ spl71_28
| ~ spl71_74 ),
inference(resolution,[],[f992,f775]) ).
fof(f5034,plain,
( spl71_475
| ~ spl71_27
| ~ spl71_74 ),
inference(avatar_split_clause,[],[f1157,f991,f770,f5032]) ).
fof(f5032,plain,
( spl71_475
<=> ! [X0] :
( sP14(X0)
| sP11(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_475])]) ).
fof(f1157,plain,
( ! [X0] :
( sP14(X0)
| sP11(sK57(X0)) )
| ~ spl71_27
| ~ spl71_74 ),
inference(resolution,[],[f992,f771]) ).
fof(f5030,plain,
( spl71_474
| ~ spl71_26
| ~ spl71_74 ),
inference(avatar_split_clause,[],[f1156,f991,f766,f5028]) ).
fof(f5028,plain,
( spl71_474
<=> ! [X0] :
( sP14(X0)
| sP9(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_474])]) ).
fof(f1156,plain,
( ! [X0] :
( sP14(X0)
| sP9(sK57(X0)) )
| ~ spl71_26
| ~ spl71_74 ),
inference(resolution,[],[f992,f767]) ).
fof(f5026,plain,
( spl71_473
| ~ spl71_25
| ~ spl71_74 ),
inference(avatar_split_clause,[],[f1155,f991,f762,f5024]) ).
fof(f5024,plain,
( spl71_473
<=> ! [X0] :
( sP14(X0)
| sP7(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_473])]) ).
fof(f1155,plain,
( ! [X0] :
( sP14(X0)
| sP7(sK57(X0)) )
| ~ spl71_25
| ~ spl71_74 ),
inference(resolution,[],[f992,f763]) ).
fof(f5022,plain,
( spl71_472
| ~ spl71_24
| ~ spl71_74 ),
inference(avatar_split_clause,[],[f1154,f991,f758,f5020]) ).
fof(f5020,plain,
( spl71_472
<=> ! [X0] :
( sP14(X0)
| sP5(sK57(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_472])]) ).
fof(f1154,plain,
( ! [X0] :
( sP14(X0)
| sP5(sK57(X0)) )
| ~ spl71_24
| ~ spl71_74 ),
inference(resolution,[],[f992,f759]) ).
fof(f5018,plain,
( spl71_471
| ~ spl71_30
| ~ spl71_73 ),
inference(avatar_split_clause,[],[f1153,f987,f782,f5016]) ).
fof(f5016,plain,
( spl71_471
<=> ! [X0] :
( sP14(X0)
| sP17(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_471])]) ).
fof(f1153,plain,
( ! [X0] :
( sP14(X0)
| sP17(sK56(X0)) )
| ~ spl71_30
| ~ spl71_73 ),
inference(resolution,[],[f988,f783]) ).
fof(f5014,plain,
( spl71_470
| ~ spl71_29
| ~ spl71_73 ),
inference(avatar_split_clause,[],[f1152,f987,f778,f5012]) ).
fof(f5012,plain,
( spl71_470
<=> ! [X0] :
( sP14(X0)
| sP15(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_470])]) ).
fof(f1152,plain,
( ! [X0] :
( sP14(X0)
| sP15(sK56(X0)) )
| ~ spl71_29
| ~ spl71_73 ),
inference(resolution,[],[f988,f779]) ).
fof(f5010,plain,
( spl71_469
| ~ spl71_28
| ~ spl71_73 ),
inference(avatar_split_clause,[],[f1151,f987,f774,f5008]) ).
fof(f5008,plain,
( spl71_469
<=> ! [X0] :
( sP14(X0)
| sP13(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_469])]) ).
fof(f1151,plain,
( ! [X0] :
( sP14(X0)
| sP13(sK56(X0)) )
| ~ spl71_28
| ~ spl71_73 ),
inference(resolution,[],[f988,f775]) ).
fof(f5006,plain,
( spl71_468
| ~ spl71_27
| ~ spl71_73 ),
inference(avatar_split_clause,[],[f1150,f987,f770,f5004]) ).
fof(f5004,plain,
( spl71_468
<=> ! [X0] :
( sP14(X0)
| sP11(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_468])]) ).
fof(f1150,plain,
( ! [X0] :
( sP14(X0)
| sP11(sK56(X0)) )
| ~ spl71_27
| ~ spl71_73 ),
inference(resolution,[],[f988,f771]) ).
fof(f5002,plain,
( spl71_467
| ~ spl71_279
| ~ spl71_82
| ~ spl71_98 ),
inference(avatar_split_clause,[],[f1924,f1234,f1023,f3253,f4999]) ).
fof(f3253,plain,
( spl71_279
<=> duplicatefreeP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_279])]) ).
fof(f1023,plain,
( spl71_82
<=> sP7(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_82])]) ).
fof(f1234,plain,
( spl71_98
<=> ! [X0] :
( sP6(X0)
| ~ duplicatefreeP(X0)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_98])]) ).
fof(f1924,plain,
( ~ duplicatefreeP(sK23)
| sP6(sK23)
| ~ spl71_82
| ~ spl71_98 ),
inference(resolution,[],[f1025,f1235]) ).
fof(f1235,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ duplicatefreeP(X0)
| sP6(X0) )
| ~ spl71_98 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1025,plain,
( sP7(sK23)
| ~ spl71_82 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f4997,plain,
( spl71_466
| ~ spl71_26
| ~ spl71_73 ),
inference(avatar_split_clause,[],[f1149,f987,f766,f4995]) ).
fof(f4995,plain,
( spl71_466
<=> ! [X0] :
( sP14(X0)
| sP9(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_466])]) ).
fof(f1149,plain,
( ! [X0] :
( sP14(X0)
| sP9(sK56(X0)) )
| ~ spl71_26
| ~ spl71_73 ),
inference(resolution,[],[f988,f767]) ).
fof(f4993,plain,
( spl71_465
| ~ spl71_25
| ~ spl71_73 ),
inference(avatar_split_clause,[],[f1148,f987,f762,f4991]) ).
fof(f4991,plain,
( spl71_465
<=> ! [X0] :
( sP14(X0)
| sP7(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_465])]) ).
fof(f1148,plain,
( ! [X0] :
( sP14(X0)
| sP7(sK56(X0)) )
| ~ spl71_25
| ~ spl71_73 ),
inference(resolution,[],[f988,f763]) ).
fof(f4989,plain,
( spl71_464
| ~ spl71_24
| ~ spl71_73 ),
inference(avatar_split_clause,[],[f1147,f987,f758,f4987]) ).
fof(f4987,plain,
( spl71_464
<=> ! [X0] :
( sP14(X0)
| sP5(sK56(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_464])]) ).
fof(f1147,plain,
( ! [X0] :
( sP14(X0)
| sP5(sK56(X0)) )
| ~ spl71_24
| ~ spl71_73 ),
inference(resolution,[],[f988,f759]) ).
fof(f4985,plain,
( spl71_463
| ~ spl71_30
| ~ spl71_71 ),
inference(avatar_split_clause,[],[f1146,f978,f782,f4983]) ).
fof(f4983,plain,
( spl71_463
<=> ! [X0] :
( sP14(X0)
| sP17(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_463])]) ).
fof(f1146,plain,
( ! [X0] :
( sP14(X0)
| sP17(sK55(X0)) )
| ~ spl71_30
| ~ spl71_71 ),
inference(resolution,[],[f979,f783]) ).
fof(f4981,plain,
( spl71_462
| ~ spl71_29
| ~ spl71_71 ),
inference(avatar_split_clause,[],[f1145,f978,f778,f4979]) ).
fof(f4979,plain,
( spl71_462
<=> ! [X0] :
( sP14(X0)
| sP15(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_462])]) ).
fof(f1145,plain,
( ! [X0] :
( sP14(X0)
| sP15(sK55(X0)) )
| ~ spl71_29
| ~ spl71_71 ),
inference(resolution,[],[f979,f779]) ).
fof(f4977,plain,
( spl71_461
| ~ spl71_28
| ~ spl71_71 ),
inference(avatar_split_clause,[],[f1144,f978,f774,f4975]) ).
fof(f4975,plain,
( spl71_461
<=> ! [X0] :
( sP14(X0)
| sP13(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_461])]) ).
fof(f1144,plain,
( ! [X0] :
( sP14(X0)
| sP13(sK55(X0)) )
| ~ spl71_28
| ~ spl71_71 ),
inference(resolution,[],[f979,f775]) ).
fof(f4973,plain,
( spl71_460
| ~ spl71_27
| ~ spl71_71 ),
inference(avatar_split_clause,[],[f1143,f978,f770,f4971]) ).
fof(f4971,plain,
( spl71_460
<=> ! [X0] :
( sP14(X0)
| sP11(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_460])]) ).
fof(f1143,plain,
( ! [X0] :
( sP14(X0)
| sP11(sK55(X0)) )
| ~ spl71_27
| ~ spl71_71 ),
inference(resolution,[],[f979,f771]) ).
fof(f4969,plain,
( spl71_459
| ~ spl71_26
| ~ spl71_71 ),
inference(avatar_split_clause,[],[f1142,f978,f766,f4967]) ).
fof(f4967,plain,
( spl71_459
<=> ! [X0] :
( sP14(X0)
| sP9(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_459])]) ).
fof(f1142,plain,
( ! [X0] :
( sP14(X0)
| sP9(sK55(X0)) )
| ~ spl71_26
| ~ spl71_71 ),
inference(resolution,[],[f979,f767]) ).
fof(f4965,plain,
( spl71_458
| ~ spl71_25
| ~ spl71_71 ),
inference(avatar_split_clause,[],[f1141,f978,f762,f4963]) ).
fof(f4963,plain,
( spl71_458
<=> ! [X0] :
( sP14(X0)
| sP7(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_458])]) ).
fof(f1141,plain,
( ! [X0] :
( sP14(X0)
| sP7(sK55(X0)) )
| ~ spl71_25
| ~ spl71_71 ),
inference(resolution,[],[f979,f763]) ).
fof(f4961,plain,
( spl71_457
| ~ spl71_24
| ~ spl71_71 ),
inference(avatar_split_clause,[],[f1140,f978,f758,f4959]) ).
fof(f4959,plain,
( spl71_457
<=> ! [X0] :
( sP14(X0)
| sP5(sK55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_457])]) ).
fof(f1140,plain,
( ! [X0] :
( sP14(X0)
| sP5(sK55(X0)) )
| ~ spl71_24
| ~ spl71_71 ),
inference(resolution,[],[f979,f759]) ).
fof(f4957,plain,
( spl71_446
| ~ spl71_445
| ~ spl71_72
| ~ spl71_98 ),
inference(avatar_split_clause,[],[f1837,f1234,f982,f4907,f4911]) ).
fof(f4911,plain,
( spl71_446
<=> sP6(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_446])]) ).
fof(f4907,plain,
( spl71_445
<=> duplicatefreeP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_445])]) ).
fof(f982,plain,
( spl71_72
<=> sP7(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_72])]) ).
fof(f1837,plain,
( ~ duplicatefreeP(sK21)
| sP6(sK21)
| ~ spl71_72
| ~ spl71_98 ),
inference(resolution,[],[f984,f1235]) ).
fof(f984,plain,
( sP7(sK21)
| ~ spl71_72 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f4956,plain,
( spl71_456
| ~ spl71_30
| ~ spl71_68 ),
inference(avatar_split_clause,[],[f1139,f966,f782,f4954]) ).
fof(f4954,plain,
( spl71_456
<=> ! [X0] :
( sP12(X0)
| sP17(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_456])]) ).
fof(f1139,plain,
( ! [X0] :
( sP12(X0)
| sP17(sK52(X0)) )
| ~ spl71_30
| ~ spl71_68 ),
inference(resolution,[],[f967,f783]) ).
fof(f4952,plain,
( spl71_455
| ~ spl71_29
| ~ spl71_68 ),
inference(avatar_split_clause,[],[f1138,f966,f778,f4950]) ).
fof(f4950,plain,
( spl71_455
<=> ! [X0] :
( sP12(X0)
| sP15(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_455])]) ).
fof(f1138,plain,
( ! [X0] :
( sP12(X0)
| sP15(sK52(X0)) )
| ~ spl71_29
| ~ spl71_68 ),
inference(resolution,[],[f967,f779]) ).
fof(f4948,plain,
( spl71_454
| ~ spl71_28
| ~ spl71_68 ),
inference(avatar_split_clause,[],[f1137,f966,f774,f4946]) ).
fof(f4946,plain,
( spl71_454
<=> ! [X0] :
( sP12(X0)
| sP13(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_454])]) ).
fof(f1137,plain,
( ! [X0] :
( sP12(X0)
| sP13(sK52(X0)) )
| ~ spl71_28
| ~ spl71_68 ),
inference(resolution,[],[f967,f775]) ).
fof(f4944,plain,
( spl71_453
| ~ spl71_27
| ~ spl71_68 ),
inference(avatar_split_clause,[],[f1136,f966,f770,f4942]) ).
fof(f4942,plain,
( spl71_453
<=> ! [X0] :
( sP12(X0)
| sP11(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_453])]) ).
fof(f1136,plain,
( ! [X0] :
( sP12(X0)
| sP11(sK52(X0)) )
| ~ spl71_27
| ~ spl71_68 ),
inference(resolution,[],[f967,f771]) ).
fof(f4940,plain,
( spl71_452
| ~ spl71_26
| ~ spl71_68 ),
inference(avatar_split_clause,[],[f1135,f966,f766,f4938]) ).
fof(f4938,plain,
( spl71_452
<=> ! [X0] :
( sP12(X0)
| sP9(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_452])]) ).
fof(f1135,plain,
( ! [X0] :
( sP12(X0)
| sP9(sK52(X0)) )
| ~ spl71_26
| ~ spl71_68 ),
inference(resolution,[],[f967,f767]) ).
fof(f4936,plain,
( spl71_451
| ~ spl71_25
| ~ spl71_68 ),
inference(avatar_split_clause,[],[f1134,f966,f762,f4934]) ).
fof(f4934,plain,
( spl71_451
<=> ! [X0] :
( sP12(X0)
| sP7(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_451])]) ).
fof(f1134,plain,
( ! [X0] :
( sP12(X0)
| sP7(sK52(X0)) )
| ~ spl71_25
| ~ spl71_68 ),
inference(resolution,[],[f967,f763]) ).
fof(f4932,plain,
( spl71_450
| ~ spl71_24
| ~ spl71_68 ),
inference(avatar_split_clause,[],[f1133,f966,f758,f4930]) ).
fof(f4930,plain,
( spl71_450
<=> ! [X0] :
( sP12(X0)
| sP5(sK52(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_450])]) ).
fof(f1133,plain,
( ! [X0] :
( sP12(X0)
| sP5(sK52(X0)) )
| ~ spl71_24
| ~ spl71_68 ),
inference(resolution,[],[f967,f759]) ).
fof(f4928,plain,
( spl71_449
| ~ spl71_30
| ~ spl71_67 ),
inference(avatar_split_clause,[],[f1132,f962,f782,f4926]) ).
fof(f4926,plain,
( spl71_449
<=> ! [X0] :
( sP12(X0)
| sP17(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_449])]) ).
fof(f1132,plain,
( ! [X0] :
( sP12(X0)
| sP17(sK51(X0)) )
| ~ spl71_30
| ~ spl71_67 ),
inference(resolution,[],[f963,f783]) ).
fof(f4924,plain,
( spl71_448
| ~ spl71_29
| ~ spl71_67 ),
inference(avatar_split_clause,[],[f1131,f962,f778,f4922]) ).
fof(f4922,plain,
( spl71_448
<=> ! [X0] :
( sP12(X0)
| sP15(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_448])]) ).
fof(f1131,plain,
( ! [X0] :
( sP12(X0)
| sP15(sK51(X0)) )
| ~ spl71_29
| ~ spl71_67 ),
inference(resolution,[],[f963,f779]) ).
fof(f4920,plain,
( spl71_447
| ~ spl71_28
| ~ spl71_67 ),
inference(avatar_split_clause,[],[f1130,f962,f774,f4918]) ).
fof(f4918,plain,
( spl71_447
<=> ! [X0] :
( sP12(X0)
| sP13(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_447])]) ).
fof(f1130,plain,
( ! [X0] :
( sP12(X0)
| sP13(sK51(X0)) )
| ~ spl71_28
| ~ spl71_67 ),
inference(resolution,[],[f963,f775]) ).
fof(f4914,plain,
( spl71_445
| ~ spl71_446
| ~ spl71_72
| ~ spl71_99 ),
inference(avatar_split_clause,[],[f1836,f1238,f982,f4911,f4907]) ).
fof(f1238,plain,
( spl71_99
<=> ! [X0] :
( duplicatefreeP(X0)
| ~ sP6(X0)
| ~ sP7(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_99])]) ).
fof(f1836,plain,
( ~ sP6(sK21)
| duplicatefreeP(sK21)
| ~ spl71_72
| ~ spl71_99 ),
inference(resolution,[],[f984,f1239]) ).
fof(f1239,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ sP6(X0)
| duplicatefreeP(X0) )
| ~ spl71_99 ),
inference(avatar_component_clause,[],[f1238]) ).
fof(f4905,plain,
( spl71_444
| ~ spl71_27
| ~ spl71_67 ),
inference(avatar_split_clause,[],[f1129,f962,f770,f4903]) ).
fof(f4903,plain,
( spl71_444
<=> ! [X0] :
( sP12(X0)
| sP11(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_444])]) ).
fof(f1129,plain,
( ! [X0] :
( sP12(X0)
| sP11(sK51(X0)) )
| ~ spl71_27
| ~ spl71_67 ),
inference(resolution,[],[f963,f771]) ).
fof(f4901,plain,
( spl71_443
| ~ spl71_26
| ~ spl71_67 ),
inference(avatar_split_clause,[],[f1128,f962,f766,f4899]) ).
fof(f4899,plain,
( spl71_443
<=> ! [X0] :
( sP12(X0)
| sP9(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_443])]) ).
fof(f1128,plain,
( ! [X0] :
( sP12(X0)
| sP9(sK51(X0)) )
| ~ spl71_26
| ~ spl71_67 ),
inference(resolution,[],[f963,f767]) ).
fof(f4897,plain,
( spl71_442
| ~ spl71_25
| ~ spl71_67 ),
inference(avatar_split_clause,[],[f1127,f962,f762,f4895]) ).
fof(f4895,plain,
( spl71_442
<=> ! [X0] :
( sP12(X0)
| sP7(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_442])]) ).
fof(f1127,plain,
( ! [X0] :
( sP12(X0)
| sP7(sK51(X0)) )
| ~ spl71_25
| ~ spl71_67 ),
inference(resolution,[],[f963,f763]) ).
fof(f4893,plain,
( spl71_441
| ~ spl71_24
| ~ spl71_67 ),
inference(avatar_split_clause,[],[f1126,f962,f758,f4891]) ).
fof(f4891,plain,
( spl71_441
<=> ! [X0] :
( sP12(X0)
| sP5(sK51(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_441])]) ).
fof(f1126,plain,
( ! [X0] :
( sP12(X0)
| sP5(sK51(X0)) )
| ~ spl71_24
| ~ spl71_67 ),
inference(resolution,[],[f963,f759]) ).
fof(f4889,plain,
( spl71_440
| ~ spl71_30
| ~ spl71_66 ),
inference(avatar_split_clause,[],[f1125,f958,f782,f4887]) ).
fof(f4887,plain,
( spl71_440
<=> ! [X0] :
( sP12(X0)
| sP17(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_440])]) ).
fof(f1125,plain,
( ! [X0] :
( sP12(X0)
| sP17(sK50(X0)) )
| ~ spl71_30
| ~ spl71_66 ),
inference(resolution,[],[f959,f783]) ).
fof(f4885,plain,
( spl71_439
| ~ spl71_29
| ~ spl71_66 ),
inference(avatar_split_clause,[],[f1124,f958,f778,f4883]) ).
fof(f4883,plain,
( spl71_439
<=> ! [X0] :
( sP12(X0)
| sP15(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_439])]) ).
fof(f1124,plain,
( ! [X0] :
( sP12(X0)
| sP15(sK50(X0)) )
| ~ spl71_29
| ~ spl71_66 ),
inference(resolution,[],[f959,f779]) ).
fof(f4881,plain,
( spl71_438
| ~ spl71_28
| ~ spl71_66 ),
inference(avatar_split_clause,[],[f1123,f958,f774,f4879]) ).
fof(f4879,plain,
( spl71_438
<=> ! [X0] :
( sP12(X0)
| sP13(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_438])]) ).
fof(f1123,plain,
( ! [X0] :
( sP12(X0)
| sP13(sK50(X0)) )
| ~ spl71_28
| ~ spl71_66 ),
inference(resolution,[],[f959,f775]) ).
fof(f4877,plain,
( spl71_437
| ~ spl71_27
| ~ spl71_66 ),
inference(avatar_split_clause,[],[f1122,f958,f770,f4875]) ).
fof(f4875,plain,
( spl71_437
<=> ! [X0] :
( sP12(X0)
| sP11(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_437])]) ).
fof(f1122,plain,
( ! [X0] :
( sP12(X0)
| sP11(sK50(X0)) )
| ~ spl71_27
| ~ spl71_66 ),
inference(resolution,[],[f959,f771]) ).
fof(f4873,plain,
( spl71_436
| ~ spl71_26
| ~ spl71_66 ),
inference(avatar_split_clause,[],[f1121,f958,f766,f4871]) ).
fof(f4871,plain,
( spl71_436
<=> ! [X0] :
( sP12(X0)
| sP9(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_436])]) ).
fof(f1121,plain,
( ! [X0] :
( sP12(X0)
| sP9(sK50(X0)) )
| ~ spl71_26
| ~ spl71_66 ),
inference(resolution,[],[f959,f767]) ).
fof(f4869,plain,
( spl71_435
| ~ spl71_25
| ~ spl71_66 ),
inference(avatar_split_clause,[],[f1120,f958,f762,f4867]) ).
fof(f4867,plain,
( spl71_435
<=> ! [X0] :
( sP12(X0)
| sP7(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_435])]) ).
fof(f1120,plain,
( ! [X0] :
( sP12(X0)
| sP7(sK50(X0)) )
| ~ spl71_25
| ~ spl71_66 ),
inference(resolution,[],[f959,f763]) ).
fof(f4863,plain,
( spl71_434
| ~ spl71_24
| ~ spl71_66 ),
inference(avatar_split_clause,[],[f1119,f958,f758,f4861]) ).
fof(f4861,plain,
( spl71_434
<=> ! [X0] :
( sP12(X0)
| sP5(sK50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_434])]) ).
fof(f1119,plain,
( ! [X0] :
( sP12(X0)
| sP5(sK50(X0)) )
| ~ spl71_24
| ~ spl71_66 ),
inference(resolution,[],[f959,f759]) ).
fof(f4859,plain,
( spl71_433
| ~ spl71_30
| ~ spl71_63 ),
inference(avatar_split_clause,[],[f1113,f946,f782,f4857]) ).
fof(f4857,plain,
( spl71_433
<=> ! [X0] :
( sP10(X0)
| sP17(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_433])]) ).
fof(f1113,plain,
( ! [X0] :
( sP10(X0)
| sP17(sK47(X0)) )
| ~ spl71_30
| ~ spl71_63 ),
inference(resolution,[],[f947,f783]) ).
fof(f4855,plain,
( spl71_432
| ~ spl71_29
| ~ spl71_63 ),
inference(avatar_split_clause,[],[f1112,f946,f778,f4853]) ).
fof(f4853,plain,
( spl71_432
<=> ! [X0] :
( sP10(X0)
| sP15(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_432])]) ).
fof(f1112,plain,
( ! [X0] :
( sP10(X0)
| sP15(sK47(X0)) )
| ~ spl71_29
| ~ spl71_63 ),
inference(resolution,[],[f947,f779]) ).
fof(f4851,plain,
( spl71_431
| ~ spl71_28
| ~ spl71_63 ),
inference(avatar_split_clause,[],[f1111,f946,f774,f4849]) ).
fof(f4849,plain,
( spl71_431
<=> ! [X0] :
( sP10(X0)
| sP13(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_431])]) ).
fof(f1111,plain,
( ! [X0] :
( sP10(X0)
| sP13(sK47(X0)) )
| ~ spl71_28
| ~ spl71_63 ),
inference(resolution,[],[f947,f775]) ).
fof(f4847,plain,
( spl71_430
| ~ spl71_27
| ~ spl71_63 ),
inference(avatar_split_clause,[],[f1110,f946,f770,f4845]) ).
fof(f4845,plain,
( spl71_430
<=> ! [X0] :
( sP10(X0)
| sP11(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_430])]) ).
fof(f1110,plain,
( ! [X0] :
( sP10(X0)
| sP11(sK47(X0)) )
| ~ spl71_27
| ~ spl71_63 ),
inference(resolution,[],[f947,f771]) ).
fof(f4843,plain,
( spl71_429
| ~ spl71_26
| ~ spl71_63 ),
inference(avatar_split_clause,[],[f1109,f946,f766,f4841]) ).
fof(f4841,plain,
( spl71_429
<=> ! [X0] :
( sP10(X0)
| sP9(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_429])]) ).
fof(f1109,plain,
( ! [X0] :
( sP10(X0)
| sP9(sK47(X0)) )
| ~ spl71_26
| ~ spl71_63 ),
inference(resolution,[],[f947,f767]) ).
fof(f4839,plain,
( spl71_428
| ~ spl71_25
| ~ spl71_63 ),
inference(avatar_split_clause,[],[f1108,f946,f762,f4837]) ).
fof(f4837,plain,
( spl71_428
<=> ! [X0] :
( sP10(X0)
| sP7(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_428])]) ).
fof(f1108,plain,
( ! [X0] :
( sP10(X0)
| sP7(sK47(X0)) )
| ~ spl71_25
| ~ spl71_63 ),
inference(resolution,[],[f947,f763]) ).
fof(f4835,plain,
( spl71_427
| ~ spl71_24
| ~ spl71_63 ),
inference(avatar_split_clause,[],[f1107,f946,f758,f4833]) ).
fof(f4833,plain,
( spl71_427
<=> ! [X0] :
( sP10(X0)
| sP5(sK47(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_427])]) ).
fof(f1107,plain,
( ! [X0] :
( sP10(X0)
| sP5(sK47(X0)) )
| ~ spl71_24
| ~ spl71_63 ),
inference(resolution,[],[f947,f759]) ).
fof(f4831,plain,
( spl71_426
| ~ spl71_30
| ~ spl71_62 ),
inference(avatar_split_clause,[],[f1106,f942,f782,f4829]) ).
fof(f4829,plain,
( spl71_426
<=> ! [X0] :
( sP10(X0)
| sP17(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_426])]) ).
fof(f1106,plain,
( ! [X0] :
( sP10(X0)
| sP17(sK46(X0)) )
| ~ spl71_30
| ~ spl71_62 ),
inference(resolution,[],[f943,f783]) ).
fof(f4827,plain,
( spl71_425
| ~ spl71_29
| ~ spl71_62 ),
inference(avatar_split_clause,[],[f1105,f942,f778,f4825]) ).
fof(f4825,plain,
( spl71_425
<=> ! [X0] :
( sP10(X0)
| sP15(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_425])]) ).
fof(f1105,plain,
( ! [X0] :
( sP10(X0)
| sP15(sK46(X0)) )
| ~ spl71_29
| ~ spl71_62 ),
inference(resolution,[],[f943,f779]) ).
fof(f4823,plain,
( spl71_424
| ~ spl71_28
| ~ spl71_62 ),
inference(avatar_split_clause,[],[f1104,f942,f774,f4821]) ).
fof(f4821,plain,
( spl71_424
<=> ! [X0] :
( sP10(X0)
| sP13(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_424])]) ).
fof(f1104,plain,
( ! [X0] :
( sP10(X0)
| sP13(sK46(X0)) )
| ~ spl71_28
| ~ spl71_62 ),
inference(resolution,[],[f943,f775]) ).
fof(f4819,plain,
( spl71_423
| ~ spl71_27
| ~ spl71_62 ),
inference(avatar_split_clause,[],[f1103,f942,f770,f4817]) ).
fof(f4817,plain,
( spl71_423
<=> ! [X0] :
( sP10(X0)
| sP11(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_423])]) ).
fof(f1103,plain,
( ! [X0] :
( sP10(X0)
| sP11(sK46(X0)) )
| ~ spl71_27
| ~ spl71_62 ),
inference(resolution,[],[f943,f771]) ).
fof(f4815,plain,
( spl71_422
| ~ spl71_26
| ~ spl71_62 ),
inference(avatar_split_clause,[],[f1102,f942,f766,f4813]) ).
fof(f4813,plain,
( spl71_422
<=> ! [X0] :
( sP10(X0)
| sP9(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_422])]) ).
fof(f1102,plain,
( ! [X0] :
( sP10(X0)
| sP9(sK46(X0)) )
| ~ spl71_26
| ~ spl71_62 ),
inference(resolution,[],[f943,f767]) ).
fof(f4811,plain,
( spl71_421
| ~ spl71_25
| ~ spl71_62 ),
inference(avatar_split_clause,[],[f1101,f942,f762,f4809]) ).
fof(f4809,plain,
( spl71_421
<=> ! [X0] :
( sP10(X0)
| sP7(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_421])]) ).
fof(f1101,plain,
( ! [X0] :
( sP10(X0)
| sP7(sK46(X0)) )
| ~ spl71_25
| ~ spl71_62 ),
inference(resolution,[],[f943,f763]) ).
fof(f4807,plain,
( spl71_420
| ~ spl71_24
| ~ spl71_62 ),
inference(avatar_split_clause,[],[f1100,f942,f758,f4805]) ).
fof(f4805,plain,
( spl71_420
<=> ! [X0] :
( sP10(X0)
| sP5(sK46(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_420])]) ).
fof(f1100,plain,
( ! [X0] :
( sP10(X0)
| sP5(sK46(X0)) )
| ~ spl71_24
| ~ spl71_62 ),
inference(resolution,[],[f943,f759]) ).
fof(f4803,plain,
( spl71_419
| ~ spl71_30
| ~ spl71_60 ),
inference(avatar_split_clause,[],[f1099,f933,f782,f4801]) ).
fof(f4801,plain,
( spl71_419
<=> ! [X0] :
( sP10(X0)
| sP17(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_419])]) ).
fof(f1099,plain,
( ! [X0] :
( sP10(X0)
| sP17(sK45(X0)) )
| ~ spl71_30
| ~ spl71_60 ),
inference(resolution,[],[f934,f783]) ).
fof(f4799,plain,
( spl71_418
| ~ spl71_29
| ~ spl71_60 ),
inference(avatar_split_clause,[],[f1098,f933,f778,f4797]) ).
fof(f4797,plain,
( spl71_418
<=> ! [X0] :
( sP10(X0)
| sP15(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_418])]) ).
fof(f1098,plain,
( ! [X0] :
( sP10(X0)
| sP15(sK45(X0)) )
| ~ spl71_29
| ~ spl71_60 ),
inference(resolution,[],[f934,f779]) ).
fof(f4795,plain,
( spl71_417
| ~ spl71_28
| ~ spl71_60 ),
inference(avatar_split_clause,[],[f1097,f933,f774,f4793]) ).
fof(f4793,plain,
( spl71_417
<=> ! [X0] :
( sP10(X0)
| sP13(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_417])]) ).
fof(f1097,plain,
( ! [X0] :
( sP10(X0)
| sP13(sK45(X0)) )
| ~ spl71_28
| ~ spl71_60 ),
inference(resolution,[],[f934,f775]) ).
fof(f4791,plain,
( spl71_416
| ~ spl71_27
| ~ spl71_60 ),
inference(avatar_split_clause,[],[f1096,f933,f770,f4789]) ).
fof(f4789,plain,
( spl71_416
<=> ! [X0] :
( sP10(X0)
| sP11(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_416])]) ).
fof(f1096,plain,
( ! [X0] :
( sP10(X0)
| sP11(sK45(X0)) )
| ~ spl71_27
| ~ spl71_60 ),
inference(resolution,[],[f934,f771]) ).
fof(f4787,plain,
( spl71_415
| ~ spl71_26
| ~ spl71_60 ),
inference(avatar_split_clause,[],[f1095,f933,f766,f4785]) ).
fof(f4785,plain,
( spl71_415
<=> ! [X0] :
( sP10(X0)
| sP9(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_415])]) ).
fof(f1095,plain,
( ! [X0] :
( sP10(X0)
| sP9(sK45(X0)) )
| ~ spl71_26
| ~ spl71_60 ),
inference(resolution,[],[f934,f767]) ).
fof(f4783,plain,
( spl71_413
| ~ spl71_414
| ~ spl71_61
| ~ spl71_99 ),
inference(avatar_split_clause,[],[f1762,f1238,f937,f4780,f4776]) ).
fof(f4776,plain,
( spl71_413
<=> duplicatefreeP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_413])]) ).
fof(f937,plain,
( spl71_61
<=> sP7(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_61])]) ).
fof(f1762,plain,
( ~ sP6(sK20)
| duplicatefreeP(sK20)
| ~ spl71_61
| ~ spl71_99 ),
inference(resolution,[],[f939,f1239]) ).
fof(f939,plain,
( sP7(sK20)
| ~ spl71_61 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f4771,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_412
| ~ spl71_20
| ~ spl71_230 ),
inference(avatar_split_clause,[],[f2539,f2500,f740,f4769,f666,f3448]) ).
fof(f4769,plain,
( spl71_412
<=> ! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK22,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_412])]) ).
fof(f2539,plain,
( ! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ segmentP(cons(sK22,nil),X1)
| ~ ssList(X0)
| ~ ssList(sK23)
| ~ ssList(X1)
| ~ ssList(cons(sK22,nil)) )
| ~ spl71_20
| ~ spl71_230 ),
inference(superposition,[],[f2501,f742]) ).
fof(f4760,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_411
| ~ spl71_6
| ~ spl71_19
| ~ spl71_234 ),
inference(avatar_split_clause,[],[f4296,f2555,f735,f671,f4758,f3448,f666]) ).
fof(f4296,plain,
( ! [X0] :
( ~ ssList(app(sK20,X0))
| segmentP(app(sK20,X0),sK23)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23) )
| ~ spl71_6
| ~ spl71_19
| ~ spl71_234 ),
inference(forward_demodulation,[],[f4295,f673]) ).
fof(f4295,plain,
( ! [X0] :
( segmentP(app(sK20,X0),sK23)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(app(sK21,X0)) )
| ~ spl71_6
| ~ spl71_19
| ~ spl71_234 ),
inference(forward_demodulation,[],[f2567,f673]) ).
fof(f4754,plain,
( spl71_410
| ~ spl71_6
| ~ spl71_338 ),
inference(avatar_split_clause,[],[f4277,f4026,f671,f4752]) ).
fof(f4277,plain,
( ! [X0] :
( sK20 != app(app(X0,cons(sK22,nil)),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) )
| ~ spl71_6
| ~ spl71_338 ),
inference(forward_demodulation,[],[f4027,f673]) ).
fof(f4750,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_409
| ~ spl71_6
| ~ spl71_19
| ~ spl71_195 ),
inference(avatar_split_clause,[],[f4297,f2126,f735,f671,f4748,f666,f3448]) ).
fof(f4748,plain,
( spl71_409
<=> ! [X0] :
( memberP(sK20,X0)
| ~ ssItem(X0)
| ~ memberP(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_409])]) ).
fof(f4297,plain,
( ! [X0] :
( memberP(sK20,X0)
| ~ memberP(sK23,X0)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssItem(X0) )
| ~ spl71_6
| ~ spl71_19
| ~ spl71_195 ),
inference(forward_demodulation,[],[f2153,f673]) ).
fof(f4703,plain,
( spl71_301
| ~ spl71_6
| ~ spl71_303 ),
inference(avatar_split_clause,[],[f4285,f3552,f671,f3542]) ).
fof(f3542,plain,
( spl71_301
<=> ! [X0] :
( nil = X0
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_301])]) ).
fof(f3552,plain,
( spl71_303
<=> ! [X0] :
( nil = X0
| tl(app(X0,sK21)) = app(tl(X0),sK21)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_303])]) ).
fof(f4285,plain,
( ! [X0] :
( tl(app(X0,sK20)) = app(tl(X0),sK20)
| nil = X0
| ~ ssList(X0) )
| ~ spl71_6
| ~ spl71_303 ),
inference(forward_demodulation,[],[f3553,f673]) ).
fof(f3553,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK21)) = app(tl(X0),sK21)
| nil = X0 )
| ~ spl71_303 ),
inference(avatar_component_clause,[],[f3552]) ).
fof(f4599,plain,
( spl71_283
| ~ spl71_6
| ~ spl71_284 ),
inference(avatar_split_clause,[],[f4293,f3326,f671,f3321]) ).
fof(f3326,plain,
( spl71_284
<=> ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK21))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_284])]) ).
fof(f4293,plain,
( ! [X0] :
( hd(X0) = hd(app(X0,sK20))
| nil = X0
| ~ ssList(X0) )
| ~ spl71_6
| ~ spl71_284 ),
inference(forward_demodulation,[],[f3327,f673]) ).
fof(f3327,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK21))
| nil = X0 )
| ~ spl71_284 ),
inference(avatar_component_clause,[],[f3326]) ).
fof(f4598,plain,
( spl71_408
| ~ spl71_6
| ~ spl71_326 ),
inference(avatar_split_clause,[],[f4278,f3938,f671,f4596]) ).
fof(f4596,plain,
( spl71_408
<=> ! [X0] :
( sK20 != app(cons(sK22,nil),X0)
| ~ ssList(X0)
| sK23 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_408])]) ).
fof(f3938,plain,
( spl71_326
<=> ! [X0] :
( sK21 != app(cons(sK22,nil),X0)
| ~ ssList(X0)
| sK23 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_326])]) ).
fof(f4278,plain,
( ! [X0] :
( sK20 != app(cons(sK22,nil),X0)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_6
| ~ spl71_326 ),
inference(forward_demodulation,[],[f3939,f673]) ).
fof(f3939,plain,
( ! [X0] :
( sK21 != app(cons(sK22,nil),X0)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_326 ),
inference(avatar_component_clause,[],[f3938]) ).
fof(f4591,plain,
( spl71_407
| ~ spl71_270
| ~ spl71_50
| ~ spl71_96 ),
inference(avatar_split_clause,[],[f1663,f1226,f892,f3131,f4588]) ).
fof(f4588,plain,
( spl71_407
<=> sP4(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_407])]) ).
fof(f3131,plain,
( spl71_270
<=> equalelemsP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_270])]) ).
fof(f892,plain,
( spl71_50
<=> sP5(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_50])]) ).
fof(f1226,plain,
( spl71_96
<=> ! [X0] :
( sP4(X0)
| ~ equalelemsP(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_96])]) ).
fof(f1663,plain,
( ~ equalelemsP(sK23)
| sP4(sK23)
| ~ spl71_50
| ~ spl71_96 ),
inference(resolution,[],[f894,f1227]) ).
fof(f1227,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ equalelemsP(X0)
| sP4(X0) )
| ~ spl71_96 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f894,plain,
( sP5(sK23)
| ~ spl71_50 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f4586,plain,
( spl71_406
| ~ spl71_6
| ~ spl71_322 ),
inference(avatar_split_clause,[],[f3913,f3910,f671,f4584]) ).
fof(f4584,plain,
( spl71_406
<=> ! [X0] :
( sK20 != app(X0,sK23)
| ~ ssList(X0)
| cons(sK22,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_406])]) ).
fof(f3910,plain,
( spl71_322
<=> ! [X0] :
( sK21 != app(X0,sK23)
| ~ ssList(X0)
| cons(sK22,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_322])]) ).
fof(f3913,plain,
( ! [X0] :
( sK20 != app(X0,sK23)
| ~ ssList(X0)
| cons(sK22,nil) = X0 )
| ~ spl71_6
| ~ spl71_322 ),
inference(forward_demodulation,[],[f3911,f673]) ).
fof(f3911,plain,
( ! [X0] :
( sK21 != app(X0,sK23)
| ~ ssList(X0)
| cons(sK22,nil) = X0 )
| ~ spl71_322 ),
inference(avatar_component_clause,[],[f3910]) ).
fof(f4494,plain,
( spl71_276
| ~ spl71_6
| ~ spl71_277 ),
inference(avatar_split_clause,[],[f3245,f3242,f671,f3237]) ).
fof(f3242,plain,
( spl71_277
<=> ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK21) = app(cons(X0,nil),sK21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_277])]) ).
fof(f3245,plain,
( ! [X0] :
( cons(X0,sK20) = app(cons(X0,nil),sK20)
| ~ ssItem(X0) )
| ~ spl71_6
| ~ spl71_277 ),
inference(forward_demodulation,[],[f3243,f673]) ).
fof(f3243,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK21) = app(cons(X0,nil),sK21) )
| ~ spl71_277 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f4489,plain,
( spl71_405
| ~ spl71_6
| ~ spl71_321 ),
inference(avatar_split_clause,[],[f3906,f3903,f671,f4487]) ).
fof(f4487,plain,
( spl71_405
<=> ! [X0] :
( frontsegP(sK20,X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK22,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_405])]) ).
fof(f3903,plain,
( spl71_321
<=> ! [X0] :
( frontsegP(sK21,X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK22,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_321])]) ).
fof(f3906,plain,
( ! [X0] :
( frontsegP(sK20,X0)
| ~ ssList(X0)
| ~ frontsegP(cons(sK22,nil),X0) )
| ~ spl71_6
| ~ spl71_321 ),
inference(forward_demodulation,[],[f3904,f673]) ).
fof(f3904,plain,
( ! [X0] :
( ~ frontsegP(cons(sK22,nil),X0)
| ~ ssList(X0)
| frontsegP(sK21,X0) )
| ~ spl71_321 ),
inference(avatar_component_clause,[],[f3903]) ).
fof(f4441,plain,
( spl71_401
| ~ spl71_400
| ~ spl71_39
| ~ spl71_96 ),
inference(avatar_split_clause,[],[f1643,f1226,f847,f4365,f4369]) ).
fof(f4365,plain,
( spl71_400
<=> equalelemsP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_400])]) ).
fof(f847,plain,
( spl71_39
<=> sP5(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_39])]) ).
fof(f1643,plain,
( ~ equalelemsP(sK21)
| sP4(sK21)
| ~ spl71_39
| ~ spl71_96 ),
inference(resolution,[],[f849,f1227]) ).
fof(f849,plain,
( sP5(sK21)
| ~ spl71_39 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f4440,plain,
( spl71_404
| ~ spl71_254
| ~ spl71_399
| ~ spl71_403 ),
inference(avatar_split_clause,[],[f4435,f4430,f4353,f2897,f4437]) ).
fof(f4353,plain,
( spl71_399
<=> tl(sK23) = sK27(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_399])]) ).
fof(f4430,plain,
( spl71_403
<=> sK23 = cons(hd(sK23),tl(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_403])]) ).
fof(f4435,plain,
( sK23 = cons(sK26(sK23),sK27(sK23))
| ~ spl71_254
| ~ spl71_399
| ~ spl71_403 ),
inference(forward_demodulation,[],[f4434,f2899]) ).
fof(f4434,plain,
( sK23 = cons(hd(sK23),sK27(sK23))
| ~ spl71_399
| ~ spl71_403 ),
inference(forward_demodulation,[],[f4432,f4355]) ).
fof(f4355,plain,
( tl(sK23) = sK27(sK23)
| ~ spl71_399 ),
inference(avatar_component_clause,[],[f4353]) ).
fof(f4432,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| ~ spl71_403 ),
inference(avatar_component_clause,[],[f4430]) ).
fof(f4433,plain,
( spl71_403
| spl71_255
| ~ spl71_5
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1975,f1916,f666,f2901,f4430]) ).
fof(f1975,plain,
( nil = sK23
| sK23 = cons(hd(sK23),tl(sK23))
| ~ spl71_5
| ~ spl71_181 ),
inference(resolution,[],[f1917,f668]) ).
fof(f4391,plain,
( spl71_402
| spl71_255
| ~ spl71_5
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1940,f1912,f666,f2901,f4388]) ).
fof(f1940,plain,
( nil = sK23
| sK23 = cons(sK25(sK23),sK24(sK23))
| ~ spl71_5
| ~ spl71_180 ),
inference(resolution,[],[f1913,f668]) ).
fof(f4372,plain,
( spl71_400
| ~ spl71_401
| ~ spl71_39
| ~ spl71_97 ),
inference(avatar_split_clause,[],[f1642,f1230,f847,f4369,f4365]) ).
fof(f1230,plain,
( spl71_97
<=> ! [X0] :
( equalelemsP(X0)
| ~ sP4(X0)
| ~ sP5(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_97])]) ).
fof(f1642,plain,
( ~ sP4(sK21)
| equalelemsP(sK21)
| ~ spl71_39
| ~ spl71_97 ),
inference(resolution,[],[f849,f1231]) ).
fof(f1231,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ sP4(X0)
| equalelemsP(X0) )
| ~ spl71_97 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f4356,plain,
( spl71_399
| spl71_255
| ~ spl71_5
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1710,f1627,f666,f2901,f4353]) ).
fof(f1710,plain,
( nil = sK23
| tl(sK23) = sK27(sK23)
| ~ spl71_5
| ~ spl71_166 ),
inference(resolution,[],[f1628,f668]) ).
fof(f4348,plain,
( spl71_398
| ~ spl71_6
| ~ spl71_296 ),
inference(avatar_split_clause,[],[f4286,f3498,f671,f4345]) ).
fof(f4345,plain,
( spl71_398
<=> frontsegP(sK20,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_398])]) ).
fof(f3498,plain,
( spl71_296
<=> frontsegP(sK21,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_296])]) ).
fof(f4286,plain,
( frontsegP(sK20,cons(sK22,nil))
| ~ spl71_6
| ~ spl71_296 ),
inference(forward_demodulation,[],[f3500,f673]) ).
fof(f3500,plain,
( frontsegP(sK21,cons(sK22,nil))
| ~ spl71_296 ),
inference(avatar_component_clause,[],[f3498]) ).
fof(f4274,plain,
( ~ spl71_5
| ~ spl71_241
| ~ spl71_244
| ~ spl71_255
| ~ spl71_339 ),
inference(avatar_split_clause,[],[f4041,f4033,f2901,f2634,f2619,f666]) ).
fof(f4041,plain,
( ~ ssList(sK23)
| ~ spl71_241
| ~ spl71_244
| ~ spl71_255
| ~ spl71_339 ),
inference(forward_demodulation,[],[f4040,f2903]) ).
fof(f2903,plain,
( nil = sK23
| ~ spl71_255 ),
inference(avatar_component_clause,[],[f2901]) ).
fof(f4040,plain,
( ~ ssList(nil)
| ~ spl71_241
| ~ spl71_244
| ~ spl71_255
| ~ spl71_339 ),
inference(trivial_inequality_removal,[],[f4039]) ).
fof(f4039,plain,
( sK20 != sK20
| ~ ssList(nil)
| ~ spl71_241
| ~ spl71_244
| ~ spl71_255
| ~ spl71_339 ),
inference(forward_demodulation,[],[f4038,f2621]) ).
fof(f4038,plain,
( sK20 != app(sK20,nil)
| ~ ssList(nil)
| ~ spl71_241
| ~ spl71_244
| ~ spl71_255
| ~ spl71_339 ),
inference(trivial_inequality_removal,[],[f4037]) ).
fof(f4037,plain,
( sK20 != sK20
| sK20 != app(sK20,nil)
| ~ ssList(nil)
| ~ spl71_241
| ~ spl71_244
| ~ spl71_255
| ~ spl71_339 ),
inference(forward_demodulation,[],[f4036,f2935]) ).
fof(f2935,plain,
( sK20 = app(sK20,sK23)
| ~ spl71_241
| ~ spl71_255 ),
inference(superposition,[],[f2621,f2903]) ).
fof(f4273,plain,
( spl71_397
| ~ spl71_25
| ~ spl71_60 ),
inference(avatar_split_clause,[],[f1094,f933,f762,f4271]) ).
fof(f4271,plain,
( spl71_397
<=> ! [X0] :
( sP10(X0)
| sP7(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_397])]) ).
fof(f1094,plain,
( ! [X0] :
( sP10(X0)
| sP7(sK45(X0)) )
| ~ spl71_25
| ~ spl71_60 ),
inference(resolution,[],[f934,f763]) ).
fof(f4269,plain,
( spl71_396
| ~ spl71_24
| ~ spl71_60 ),
inference(avatar_split_clause,[],[f1093,f933,f758,f4267]) ).
fof(f4267,plain,
( spl71_396
<=> ! [X0] :
( sP10(X0)
| sP5(sK45(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_396])]) ).
fof(f1093,plain,
( ! [X0] :
( sP10(X0)
| sP5(sK45(X0)) )
| ~ spl71_24
| ~ spl71_60 ),
inference(resolution,[],[f934,f759]) ).
fof(f4265,plain,
( spl71_395
| ~ spl71_30
| ~ spl71_57 ),
inference(avatar_split_clause,[],[f1092,f921,f782,f4263]) ).
fof(f4263,plain,
( spl71_395
<=> ! [X0] :
( sP8(X0)
| sP17(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_395])]) ).
fof(f1092,plain,
( ! [X0] :
( sP8(X0)
| sP17(sK42(X0)) )
| ~ spl71_30
| ~ spl71_57 ),
inference(resolution,[],[f922,f783]) ).
fof(f4261,plain,
( spl71_394
| ~ spl71_29
| ~ spl71_57 ),
inference(avatar_split_clause,[],[f1091,f921,f778,f4259]) ).
fof(f4259,plain,
( spl71_394
<=> ! [X0] :
( sP8(X0)
| sP15(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_394])]) ).
fof(f1091,plain,
( ! [X0] :
( sP8(X0)
| sP15(sK42(X0)) )
| ~ spl71_29
| ~ spl71_57 ),
inference(resolution,[],[f922,f779]) ).
fof(f4257,plain,
( spl71_393
| ~ spl71_28
| ~ spl71_57 ),
inference(avatar_split_clause,[],[f1090,f921,f774,f4255]) ).
fof(f4255,plain,
( spl71_393
<=> ! [X0] :
( sP8(X0)
| sP13(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_393])]) ).
fof(f1090,plain,
( ! [X0] :
( sP8(X0)
| sP13(sK42(X0)) )
| ~ spl71_28
| ~ spl71_57 ),
inference(resolution,[],[f922,f775]) ).
fof(f4253,plain,
( spl71_392
| ~ spl71_27
| ~ spl71_57 ),
inference(avatar_split_clause,[],[f1089,f921,f770,f4251]) ).
fof(f4251,plain,
( spl71_392
<=> ! [X0] :
( sP8(X0)
| sP11(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_392])]) ).
fof(f1089,plain,
( ! [X0] :
( sP8(X0)
| sP11(sK42(X0)) )
| ~ spl71_27
| ~ spl71_57 ),
inference(resolution,[],[f922,f771]) ).
fof(f4249,plain,
( spl71_391
| ~ spl71_26
| ~ spl71_57 ),
inference(avatar_split_clause,[],[f1088,f921,f766,f4247]) ).
fof(f4247,plain,
( spl71_391
<=> ! [X0] :
( sP8(X0)
| sP9(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_391])]) ).
fof(f1088,plain,
( ! [X0] :
( sP8(X0)
| sP9(sK42(X0)) )
| ~ spl71_26
| ~ spl71_57 ),
inference(resolution,[],[f922,f767]) ).
fof(f4245,plain,
( spl71_390
| ~ spl71_25
| ~ spl71_57 ),
inference(avatar_split_clause,[],[f1087,f921,f762,f4243]) ).
fof(f4243,plain,
( spl71_390
<=> ! [X0] :
( sP8(X0)
| sP7(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_390])]) ).
fof(f1087,plain,
( ! [X0] :
( sP8(X0)
| sP7(sK42(X0)) )
| ~ spl71_25
| ~ spl71_57 ),
inference(resolution,[],[f922,f763]) ).
fof(f4241,plain,
( spl71_389
| ~ spl71_24
| ~ spl71_57 ),
inference(avatar_split_clause,[],[f1086,f921,f758,f4239]) ).
fof(f4239,plain,
( spl71_389
<=> ! [X0] :
( sP8(X0)
| sP5(sK42(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_389])]) ).
fof(f1086,plain,
( ! [X0] :
( sP8(X0)
| sP5(sK42(X0)) )
| ~ spl71_24
| ~ spl71_57 ),
inference(resolution,[],[f922,f759]) ).
fof(f4237,plain,
( spl71_388
| ~ spl71_30
| ~ spl71_56 ),
inference(avatar_split_clause,[],[f1085,f917,f782,f4235]) ).
fof(f4235,plain,
( spl71_388
<=> ! [X0] :
( sP8(X0)
| sP17(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_388])]) ).
fof(f1085,plain,
( ! [X0] :
( sP8(X0)
| sP17(sK41(X0)) )
| ~ spl71_30
| ~ spl71_56 ),
inference(resolution,[],[f918,f783]) ).
fof(f4233,plain,
( spl71_387
| ~ spl71_29
| ~ spl71_56 ),
inference(avatar_split_clause,[],[f1084,f917,f778,f4231]) ).
fof(f4231,plain,
( spl71_387
<=> ! [X0] :
( sP8(X0)
| sP15(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_387])]) ).
fof(f1084,plain,
( ! [X0] :
( sP8(X0)
| sP15(sK41(X0)) )
| ~ spl71_29
| ~ spl71_56 ),
inference(resolution,[],[f918,f779]) ).
fof(f4229,plain,
( spl71_386
| ~ spl71_28
| ~ spl71_56 ),
inference(avatar_split_clause,[],[f1083,f917,f774,f4227]) ).
fof(f4227,plain,
( spl71_386
<=> ! [X0] :
( sP8(X0)
| sP13(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_386])]) ).
fof(f1083,plain,
( ! [X0] :
( sP8(X0)
| sP13(sK41(X0)) )
| ~ spl71_28
| ~ spl71_56 ),
inference(resolution,[],[f918,f775]) ).
fof(f4225,plain,
( spl71_385
| ~ spl71_27
| ~ spl71_56 ),
inference(avatar_split_clause,[],[f1082,f917,f770,f4223]) ).
fof(f4223,plain,
( spl71_385
<=> ! [X0] :
( sP8(X0)
| sP11(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_385])]) ).
fof(f1082,plain,
( ! [X0] :
( sP8(X0)
| sP11(sK41(X0)) )
| ~ spl71_27
| ~ spl71_56 ),
inference(resolution,[],[f918,f771]) ).
fof(f4221,plain,
( spl71_384
| ~ spl71_26
| ~ spl71_56 ),
inference(avatar_split_clause,[],[f1081,f917,f766,f4219]) ).
fof(f4219,plain,
( spl71_384
<=> ! [X0] :
( sP8(X0)
| sP9(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_384])]) ).
fof(f1081,plain,
( ! [X0] :
( sP8(X0)
| sP9(sK41(X0)) )
| ~ spl71_26
| ~ spl71_56 ),
inference(resolution,[],[f918,f767]) ).
fof(f4217,plain,
( spl71_383
| ~ spl71_25
| ~ spl71_56 ),
inference(avatar_split_clause,[],[f1080,f917,f762,f4215]) ).
fof(f4215,plain,
( spl71_383
<=> ! [X0] :
( sP8(X0)
| sP7(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_383])]) ).
fof(f1080,plain,
( ! [X0] :
( sP8(X0)
| sP7(sK41(X0)) )
| ~ spl71_25
| ~ spl71_56 ),
inference(resolution,[],[f918,f763]) ).
fof(f4213,plain,
( spl71_382
| ~ spl71_24
| ~ spl71_56 ),
inference(avatar_split_clause,[],[f1079,f917,f758,f4211]) ).
fof(f4211,plain,
( spl71_382
<=> ! [X0] :
( sP8(X0)
| sP5(sK41(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_382])]) ).
fof(f1079,plain,
( ! [X0] :
( sP8(X0)
| sP5(sK41(X0)) )
| ~ spl71_24
| ~ spl71_56 ),
inference(resolution,[],[f918,f759]) ).
fof(f4209,plain,
( spl71_381
| ~ spl71_30
| ~ spl71_55 ),
inference(avatar_split_clause,[],[f1078,f913,f782,f4207]) ).
fof(f4207,plain,
( spl71_381
<=> ! [X0] :
( sP8(X0)
| sP17(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_381])]) ).
fof(f1078,plain,
( ! [X0] :
( sP8(X0)
| sP17(sK40(X0)) )
| ~ spl71_30
| ~ spl71_55 ),
inference(resolution,[],[f914,f783]) ).
fof(f4205,plain,
( spl71_380
| ~ spl71_29
| ~ spl71_55 ),
inference(avatar_split_clause,[],[f1077,f913,f778,f4203]) ).
fof(f4203,plain,
( spl71_380
<=> ! [X0] :
( sP8(X0)
| sP15(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_380])]) ).
fof(f1077,plain,
( ! [X0] :
( sP8(X0)
| sP15(sK40(X0)) )
| ~ spl71_29
| ~ spl71_55 ),
inference(resolution,[],[f914,f779]) ).
fof(f4201,plain,
( spl71_379
| ~ spl71_28
| ~ spl71_55 ),
inference(avatar_split_clause,[],[f1076,f913,f774,f4199]) ).
fof(f4199,plain,
( spl71_379
<=> ! [X0] :
( sP8(X0)
| sP13(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_379])]) ).
fof(f1076,plain,
( ! [X0] :
( sP8(X0)
| sP13(sK40(X0)) )
| ~ spl71_28
| ~ spl71_55 ),
inference(resolution,[],[f914,f775]) ).
fof(f4197,plain,
( spl71_378
| ~ spl71_27
| ~ spl71_55 ),
inference(avatar_split_clause,[],[f1075,f913,f770,f4195]) ).
fof(f4195,plain,
( spl71_378
<=> ! [X0] :
( sP8(X0)
| sP11(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_378])]) ).
fof(f1075,plain,
( ! [X0] :
( sP8(X0)
| sP11(sK40(X0)) )
| ~ spl71_27
| ~ spl71_55 ),
inference(resolution,[],[f914,f771]) ).
fof(f4193,plain,
( spl71_377
| ~ spl71_26
| ~ spl71_55 ),
inference(avatar_split_clause,[],[f1074,f913,f766,f4191]) ).
fof(f4191,plain,
( spl71_377
<=> ! [X0] :
( sP8(X0)
| sP9(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_377])]) ).
fof(f1074,plain,
( ! [X0] :
( sP8(X0)
| sP9(sK40(X0)) )
| ~ spl71_26
| ~ spl71_55 ),
inference(resolution,[],[f914,f767]) ).
fof(f4189,plain,
( spl71_376
| ~ spl71_25
| ~ spl71_55 ),
inference(avatar_split_clause,[],[f1073,f913,f762,f4187]) ).
fof(f4187,plain,
( spl71_376
<=> ! [X0] :
( sP8(X0)
| sP7(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_376])]) ).
fof(f1073,plain,
( ! [X0] :
( sP8(X0)
| sP7(sK40(X0)) )
| ~ spl71_25
| ~ spl71_55 ),
inference(resolution,[],[f914,f763]) ).
fof(f4185,plain,
( spl71_375
| ~ spl71_24
| ~ spl71_55 ),
inference(avatar_split_clause,[],[f1072,f913,f758,f4183]) ).
fof(f4183,plain,
( spl71_375
<=> ! [X0] :
( sP8(X0)
| sP5(sK40(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_375])]) ).
fof(f1072,plain,
( ! [X0] :
( sP8(X0)
| sP5(sK40(X0)) )
| ~ spl71_24
| ~ spl71_55 ),
inference(resolution,[],[f914,f759]) ).
fof(f4181,plain,
( spl71_374
| ~ spl71_30
| ~ spl71_52 ),
inference(avatar_split_clause,[],[f1066,f901,f782,f4179]) ).
fof(f4179,plain,
( spl71_374
<=> ! [X0] :
( sP6(X0)
| sP17(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_374])]) ).
fof(f1066,plain,
( ! [X0] :
( sP6(X0)
| sP17(sK37(X0)) )
| ~ spl71_30
| ~ spl71_52 ),
inference(resolution,[],[f902,f783]) ).
fof(f4177,plain,
( spl71_373
| ~ spl71_29
| ~ spl71_52 ),
inference(avatar_split_clause,[],[f1065,f901,f778,f4175]) ).
fof(f4175,plain,
( spl71_373
<=> ! [X0] :
( sP6(X0)
| sP15(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_373])]) ).
fof(f1065,plain,
( ! [X0] :
( sP6(X0)
| sP15(sK37(X0)) )
| ~ spl71_29
| ~ spl71_52 ),
inference(resolution,[],[f902,f779]) ).
fof(f4173,plain,
( spl71_372
| ~ spl71_28
| ~ spl71_52 ),
inference(avatar_split_clause,[],[f1064,f901,f774,f4171]) ).
fof(f4171,plain,
( spl71_372
<=> ! [X0] :
( sP6(X0)
| sP13(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_372])]) ).
fof(f1064,plain,
( ! [X0] :
( sP6(X0)
| sP13(sK37(X0)) )
| ~ spl71_28
| ~ spl71_52 ),
inference(resolution,[],[f902,f775]) ).
fof(f4169,plain,
( spl71_371
| ~ spl71_27
| ~ spl71_52 ),
inference(avatar_split_clause,[],[f1063,f901,f770,f4167]) ).
fof(f4167,plain,
( spl71_371
<=> ! [X0] :
( sP6(X0)
| sP11(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_371])]) ).
fof(f1063,plain,
( ! [X0] :
( sP6(X0)
| sP11(sK37(X0)) )
| ~ spl71_27
| ~ spl71_52 ),
inference(resolution,[],[f902,f771]) ).
fof(f4165,plain,
( spl71_370
| ~ spl71_26
| ~ spl71_52 ),
inference(avatar_split_clause,[],[f1062,f901,f766,f4163]) ).
fof(f4163,plain,
( spl71_370
<=> ! [X0] :
( sP6(X0)
| sP9(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_370])]) ).
fof(f1062,plain,
( ! [X0] :
( sP6(X0)
| sP9(sK37(X0)) )
| ~ spl71_26
| ~ spl71_52 ),
inference(resolution,[],[f902,f767]) ).
fof(f4161,plain,
( spl71_369
| ~ spl71_25
| ~ spl71_52 ),
inference(avatar_split_clause,[],[f1061,f901,f762,f4159]) ).
fof(f4159,plain,
( spl71_369
<=> ! [X0] :
( sP6(X0)
| sP7(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_369])]) ).
fof(f1061,plain,
( ! [X0] :
( sP6(X0)
| sP7(sK37(X0)) )
| ~ spl71_25
| ~ spl71_52 ),
inference(resolution,[],[f902,f763]) ).
fof(f4157,plain,
( spl71_368
| ~ spl71_24
| ~ spl71_52 ),
inference(avatar_split_clause,[],[f1060,f901,f758,f4155]) ).
fof(f4155,plain,
( spl71_368
<=> ! [X0] :
( sP6(X0)
| sP5(sK37(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_368])]) ).
fof(f1060,plain,
( ! [X0] :
( sP6(X0)
| sP5(sK37(X0)) )
| ~ spl71_24
| ~ spl71_52 ),
inference(resolution,[],[f902,f759]) ).
fof(f4153,plain,
( spl71_367
| ~ spl71_30
| ~ spl71_51 ),
inference(avatar_split_clause,[],[f1059,f897,f782,f4151]) ).
fof(f4151,plain,
( spl71_367
<=> ! [X0] :
( sP6(X0)
| sP17(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_367])]) ).
fof(f1059,plain,
( ! [X0] :
( sP6(X0)
| sP17(sK36(X0)) )
| ~ spl71_30
| ~ spl71_51 ),
inference(resolution,[],[f898,f783]) ).
fof(f4149,plain,
( spl71_366
| ~ spl71_29
| ~ spl71_51 ),
inference(avatar_split_clause,[],[f1058,f897,f778,f4147]) ).
fof(f4147,plain,
( spl71_366
<=> ! [X0] :
( sP6(X0)
| sP15(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_366])]) ).
fof(f1058,plain,
( ! [X0] :
( sP6(X0)
| sP15(sK36(X0)) )
| ~ spl71_29
| ~ spl71_51 ),
inference(resolution,[],[f898,f779]) ).
fof(f4145,plain,
( spl71_365
| ~ spl71_28
| ~ spl71_51 ),
inference(avatar_split_clause,[],[f1057,f897,f774,f4143]) ).
fof(f4143,plain,
( spl71_365
<=> ! [X0] :
( sP6(X0)
| sP13(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_365])]) ).
fof(f1057,plain,
( ! [X0] :
( sP6(X0)
| sP13(sK36(X0)) )
| ~ spl71_28
| ~ spl71_51 ),
inference(resolution,[],[f898,f775]) ).
fof(f4141,plain,
( spl71_364
| ~ spl71_27
| ~ spl71_51 ),
inference(avatar_split_clause,[],[f1056,f897,f770,f4139]) ).
fof(f4139,plain,
( spl71_364
<=> ! [X0] :
( sP6(X0)
| sP11(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_364])]) ).
fof(f1056,plain,
( ! [X0] :
( sP6(X0)
| sP11(sK36(X0)) )
| ~ spl71_27
| ~ spl71_51 ),
inference(resolution,[],[f898,f771]) ).
fof(f4137,plain,
( spl71_363
| ~ spl71_26
| ~ spl71_51 ),
inference(avatar_split_clause,[],[f1055,f897,f766,f4135]) ).
fof(f4135,plain,
( spl71_363
<=> ! [X0] :
( sP6(X0)
| sP9(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_363])]) ).
fof(f1055,plain,
( ! [X0] :
( sP6(X0)
| sP9(sK36(X0)) )
| ~ spl71_26
| ~ spl71_51 ),
inference(resolution,[],[f898,f767]) ).
fof(f4133,plain,
( spl71_362
| ~ spl71_25
| ~ spl71_51 ),
inference(avatar_split_clause,[],[f1054,f897,f762,f4131]) ).
fof(f4131,plain,
( spl71_362
<=> ! [X0] :
( sP6(X0)
| sP7(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_362])]) ).
fof(f1054,plain,
( ! [X0] :
( sP6(X0)
| sP7(sK36(X0)) )
| ~ spl71_25
| ~ spl71_51 ),
inference(resolution,[],[f898,f763]) ).
fof(f4129,plain,
( spl71_361
| ~ spl71_24
| ~ spl71_51 ),
inference(avatar_split_clause,[],[f1053,f897,f758,f4127]) ).
fof(f4127,plain,
( spl71_361
<=> ! [X0] :
( sP6(X0)
| sP5(sK36(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_361])]) ).
fof(f1053,plain,
( ! [X0] :
( sP6(X0)
| sP5(sK36(X0)) )
| ~ spl71_24
| ~ spl71_51 ),
inference(resolution,[],[f898,f759]) ).
fof(f4125,plain,
( spl71_360
| ~ spl71_30
| ~ spl71_49 ),
inference(avatar_split_clause,[],[f1052,f888,f782,f4123]) ).
fof(f4123,plain,
( spl71_360
<=> ! [X0] :
( sP6(X0)
| sP17(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_360])]) ).
fof(f1052,plain,
( ! [X0] :
( sP6(X0)
| sP17(sK35(X0)) )
| ~ spl71_30
| ~ spl71_49 ),
inference(resolution,[],[f889,f783]) ).
fof(f4121,plain,
( spl71_359
| ~ spl71_29
| ~ spl71_49 ),
inference(avatar_split_clause,[],[f1051,f888,f778,f4119]) ).
fof(f4119,plain,
( spl71_359
<=> ! [X0] :
( sP6(X0)
| sP15(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_359])]) ).
fof(f1051,plain,
( ! [X0] :
( sP6(X0)
| sP15(sK35(X0)) )
| ~ spl71_29
| ~ spl71_49 ),
inference(resolution,[],[f889,f779]) ).
fof(f4117,plain,
( spl71_358
| ~ spl71_28
| ~ spl71_49 ),
inference(avatar_split_clause,[],[f1050,f888,f774,f4115]) ).
fof(f4115,plain,
( spl71_358
<=> ! [X0] :
( sP6(X0)
| sP13(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_358])]) ).
fof(f1050,plain,
( ! [X0] :
( sP6(X0)
| sP13(sK35(X0)) )
| ~ spl71_28
| ~ spl71_49 ),
inference(resolution,[],[f889,f775]) ).
fof(f4113,plain,
( spl71_357
| ~ spl71_27
| ~ spl71_49 ),
inference(avatar_split_clause,[],[f1049,f888,f770,f4111]) ).
fof(f4111,plain,
( spl71_357
<=> ! [X0] :
( sP6(X0)
| sP11(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_357])]) ).
fof(f1049,plain,
( ! [X0] :
( sP6(X0)
| sP11(sK35(X0)) )
| ~ spl71_27
| ~ spl71_49 ),
inference(resolution,[],[f889,f771]) ).
fof(f4109,plain,
( spl71_356
| ~ spl71_26
| ~ spl71_49 ),
inference(avatar_split_clause,[],[f1048,f888,f766,f4107]) ).
fof(f4107,plain,
( spl71_356
<=> ! [X0] :
( sP6(X0)
| sP9(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_356])]) ).
fof(f1048,plain,
( ! [X0] :
( sP6(X0)
| sP9(sK35(X0)) )
| ~ spl71_26
| ~ spl71_49 ),
inference(resolution,[],[f889,f767]) ).
fof(f4105,plain,
( spl71_355
| ~ spl71_25
| ~ spl71_49 ),
inference(avatar_split_clause,[],[f1047,f888,f762,f4103]) ).
fof(f4103,plain,
( spl71_355
<=> ! [X0] :
( sP6(X0)
| sP7(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_355])]) ).
fof(f1047,plain,
( ! [X0] :
( sP6(X0)
| sP7(sK35(X0)) )
| ~ spl71_25
| ~ spl71_49 ),
inference(resolution,[],[f889,f763]) ).
fof(f4101,plain,
( spl71_354
| ~ spl71_24
| ~ spl71_49 ),
inference(avatar_split_clause,[],[f1046,f888,f758,f4099]) ).
fof(f4099,plain,
( spl71_354
<=> ! [X0] :
( sP6(X0)
| sP5(sK35(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_354])]) ).
fof(f1046,plain,
( ! [X0] :
( sP6(X0)
| sP5(sK35(X0)) )
| ~ spl71_24
| ~ spl71_49 ),
inference(resolution,[],[f889,f759]) ).
fof(f4097,plain,
( spl71_353
| ~ spl71_30
| ~ spl71_46 ),
inference(avatar_split_clause,[],[f1045,f876,f782,f4095]) ).
fof(f4095,plain,
( spl71_353
<=> ! [X0] :
( sP4(X0)
| sP17(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_353])]) ).
fof(f1045,plain,
( ! [X0] :
( sP4(X0)
| sP17(sK32(X0)) )
| ~ spl71_30
| ~ spl71_46 ),
inference(resolution,[],[f877,f783]) ).
fof(f4093,plain,
( spl71_352
| ~ spl71_29
| ~ spl71_46 ),
inference(avatar_split_clause,[],[f1044,f876,f778,f4091]) ).
fof(f4091,plain,
( spl71_352
<=> ! [X0] :
( sP4(X0)
| sP15(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_352])]) ).
fof(f1044,plain,
( ! [X0] :
( sP4(X0)
| sP15(sK32(X0)) )
| ~ spl71_29
| ~ spl71_46 ),
inference(resolution,[],[f877,f779]) ).
fof(f4089,plain,
( spl71_351
| ~ spl71_28
| ~ spl71_46 ),
inference(avatar_split_clause,[],[f1043,f876,f774,f4087]) ).
fof(f4087,plain,
( spl71_351
<=> ! [X0] :
( sP4(X0)
| sP13(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_351])]) ).
fof(f1043,plain,
( ! [X0] :
( sP4(X0)
| sP13(sK32(X0)) )
| ~ spl71_28
| ~ spl71_46 ),
inference(resolution,[],[f877,f775]) ).
fof(f4085,plain,
( spl71_350
| ~ spl71_27
| ~ spl71_46 ),
inference(avatar_split_clause,[],[f1042,f876,f770,f4083]) ).
fof(f4083,plain,
( spl71_350
<=> ! [X0] :
( sP4(X0)
| sP11(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_350])]) ).
fof(f1042,plain,
( ! [X0] :
( sP4(X0)
| sP11(sK32(X0)) )
| ~ spl71_27
| ~ spl71_46 ),
inference(resolution,[],[f877,f771]) ).
fof(f4081,plain,
( spl71_349
| ~ spl71_26
| ~ spl71_46 ),
inference(avatar_split_clause,[],[f1041,f876,f766,f4079]) ).
fof(f4079,plain,
( spl71_349
<=> ! [X0] :
( sP4(X0)
| sP9(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_349])]) ).
fof(f1041,plain,
( ! [X0] :
( sP4(X0)
| sP9(sK32(X0)) )
| ~ spl71_26
| ~ spl71_46 ),
inference(resolution,[],[f877,f767]) ).
fof(f4077,plain,
( spl71_348
| ~ spl71_25
| ~ spl71_46 ),
inference(avatar_split_clause,[],[f1040,f876,f762,f4075]) ).
fof(f4075,plain,
( spl71_348
<=> ! [X0] :
( sP4(X0)
| sP7(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_348])]) ).
fof(f1040,plain,
( ! [X0] :
( sP4(X0)
| sP7(sK32(X0)) )
| ~ spl71_25
| ~ spl71_46 ),
inference(resolution,[],[f877,f763]) ).
fof(f4073,plain,
( spl71_347
| ~ spl71_24
| ~ spl71_46 ),
inference(avatar_split_clause,[],[f1039,f876,f758,f4071]) ).
fof(f4071,plain,
( spl71_347
<=> ! [X0] :
( sP4(X0)
| sP5(sK32(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_347])]) ).
fof(f1039,plain,
( ! [X0] :
( sP4(X0)
| sP5(sK32(X0)) )
| ~ spl71_24
| ~ spl71_46 ),
inference(resolution,[],[f877,f759]) ).
fof(f4069,plain,
( spl71_346
| ~ spl71_30
| ~ spl71_45 ),
inference(avatar_split_clause,[],[f1038,f872,f782,f4067]) ).
fof(f4067,plain,
( spl71_346
<=> ! [X0] :
( sP4(X0)
| sP17(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_346])]) ).
fof(f1038,plain,
( ! [X0] :
( sP4(X0)
| sP17(sK31(X0)) )
| ~ spl71_30
| ~ spl71_45 ),
inference(resolution,[],[f873,f783]) ).
fof(f4065,plain,
( spl71_345
| ~ spl71_29
| ~ spl71_45 ),
inference(avatar_split_clause,[],[f1037,f872,f778,f4063]) ).
fof(f4063,plain,
( spl71_345
<=> ! [X0] :
( sP4(X0)
| sP15(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_345])]) ).
fof(f1037,plain,
( ! [X0] :
( sP4(X0)
| sP15(sK31(X0)) )
| ~ spl71_29
| ~ spl71_45 ),
inference(resolution,[],[f873,f779]) ).
fof(f4061,plain,
( spl71_344
| ~ spl71_28
| ~ spl71_45 ),
inference(avatar_split_clause,[],[f1036,f872,f774,f4059]) ).
fof(f4059,plain,
( spl71_344
<=> ! [X0] :
( sP4(X0)
| sP13(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_344])]) ).
fof(f1036,plain,
( ! [X0] :
( sP4(X0)
| sP13(sK31(X0)) )
| ~ spl71_28
| ~ spl71_45 ),
inference(resolution,[],[f873,f775]) ).
fof(f4057,plain,
( spl71_343
| ~ spl71_27
| ~ spl71_45 ),
inference(avatar_split_clause,[],[f1035,f872,f770,f4055]) ).
fof(f4055,plain,
( spl71_343
<=> ! [X0] :
( sP4(X0)
| sP11(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_343])]) ).
fof(f1035,plain,
( ! [X0] :
( sP4(X0)
| sP11(sK31(X0)) )
| ~ spl71_27
| ~ spl71_45 ),
inference(resolution,[],[f873,f771]) ).
fof(f4053,plain,
( spl71_342
| ~ spl71_26
| ~ spl71_45 ),
inference(avatar_split_clause,[],[f1034,f872,f766,f4051]) ).
fof(f4051,plain,
( spl71_342
<=> ! [X0] :
( sP4(X0)
| sP9(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_342])]) ).
fof(f1034,plain,
( ! [X0] :
( sP4(X0)
| sP9(sK31(X0)) )
| ~ spl71_26
| ~ spl71_45 ),
inference(resolution,[],[f873,f767]) ).
fof(f4049,plain,
( spl71_341
| ~ spl71_25
| ~ spl71_45 ),
inference(avatar_split_clause,[],[f1033,f872,f762,f4047]) ).
fof(f4047,plain,
( spl71_341
<=> ! [X0] :
( sP4(X0)
| sP7(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_341])]) ).
fof(f1033,plain,
( ! [X0] :
( sP4(X0)
| sP7(sK31(X0)) )
| ~ spl71_25
| ~ spl71_45 ),
inference(resolution,[],[f873,f763]) ).
fof(f4045,plain,
( spl71_340
| ~ spl71_24
| ~ spl71_45 ),
inference(avatar_split_clause,[],[f1032,f872,f758,f4043]) ).
fof(f4043,plain,
( spl71_340
<=> ! [X0] :
( sP4(X0)
| sP5(sK31(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_340])]) ).
fof(f1032,plain,
( ! [X0] :
( sP4(X0)
| sP5(sK31(X0)) )
| ~ spl71_24
| ~ spl71_45 ),
inference(resolution,[],[f873,f759]) ).
fof(f4035,plain,
( spl71_339
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_338 ),
inference(avatar_split_clause,[],[f4031,f4026,f3268,f2901,f735,f671,f661,f4033]) ).
fof(f4031,plain,
( ! [X0] :
( sK20 != app(app(X0,sK20),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_338 ),
inference(forward_demodulation,[],[f4030,f673]) ).
fof(f4030,plain,
( ! [X0] :
( sK21 != app(app(X0,sK20),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_338 ),
inference(forward_demodulation,[],[f4029,f3317]) ).
fof(f3317,plain,
( sK20 = cons(sK22,sK23)
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282 ),
inference(forward_demodulation,[],[f3296,f2944]) ).
fof(f2944,plain,
( sK20 = app(cons(sK22,sK23),sK23)
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255 ),
inference(forward_demodulation,[],[f2915,f673]) ).
fof(f2915,plain,
( sK21 = app(cons(sK22,sK23),sK23)
| ~ spl71_19
| ~ spl71_255 ),
inference(superposition,[],[f737,f2903]) ).
fof(f4029,plain,
( ! [X0] :
( sK21 != app(app(X0,cons(sK22,sK23)),sK23)
| sK20 != app(sK20,X0)
| ~ ssList(X0) )
| ~ spl71_255
| ~ spl71_338 ),
inference(forward_demodulation,[],[f4027,f2903]) ).
fof(f4028,plain,
( ~ spl71_4
| ~ spl71_5
| spl71_338
| ~ spl71_20
| ~ spl71_87 ),
inference(avatar_split_clause,[],[f1191,f1188,f740,f4026,f666,f661]) ).
fof(f1188,plain,
( spl71_87
<=> ! [X6,X7,X8] :
( app(app(X8,cons(X6,nil)),X7) != sK20
| app(app(X7,cons(X6,nil)),X8) != sK21
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_87])]) ).
fof(f1191,plain,
( ! [X0] :
( sK20 != app(sK20,X0)
| sK21 != app(app(X0,cons(sK22,nil)),sK23)
| ~ ssList(sK23)
| ~ ssList(X0)
| ~ ssItem(sK22) )
| ~ spl71_20
| ~ spl71_87 ),
inference(superposition,[],[f1189,f742]) ).
fof(f1189,plain,
( ! [X8,X6,X7] :
( app(app(X8,cons(X6,nil)),X7) != sK20
| app(app(X7,cons(X6,nil)),X8) != sK21
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) )
| ~ spl71_87 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f4021,plain,
( ~ spl71_4
| ~ spl71_5
| ~ spl71_16
| spl71_337
| ~ spl71_20
| ~ spl71_237 ),
inference(avatar_split_clause,[],[f2591,f2583,f740,f4019,f720,f666,f661]) ).
fof(f4019,plain,
( spl71_337
<=> ! [X0,X1] :
( ~ sP16(app(sK20,cons(X0,X1)))
| lt(sK22,X0)
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_337])]) ).
fof(f2591,plain,
( ! [X0,X1] :
( ~ sP16(app(sK20,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(X0)
| ~ ssItem(sK22)
| lt(sK22,X0) )
| ~ spl71_20
| ~ spl71_237 ),
inference(superposition,[],[f2584,f742]) ).
fof(f4014,plain,
( ~ spl71_4
| ~ spl71_5
| ~ spl71_16
| spl71_336
| ~ spl71_20
| ~ spl71_236 ),
inference(avatar_split_clause,[],[f2589,f2579,f740,f4012,f720,f666,f661]) ).
fof(f4012,plain,
( spl71_336
<=> ! [X0,X1] :
( ~ sP14(app(sK20,cons(X0,X1)))
| leq(sK22,X0)
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_336])]) ).
fof(f2589,plain,
( ! [X0,X1] :
( ~ sP14(app(sK20,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(X0)
| ~ ssItem(sK22)
| leq(sK22,X0) )
| ~ spl71_20
| ~ spl71_236 ),
inference(superposition,[],[f2580,f742]) ).
fof(f4003,plain,
( spl71_335
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_334 ),
inference(avatar_split_clause,[],[f3999,f3995,f3268,f2901,f735,f671,f661,f4001]) ).
fof(f4001,plain,
( spl71_335
<=> ! [X0] :
( segmentP(app(sK20,X0),sK20)
| ~ ssList(app(sK20,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_335])]) ).
fof(f3999,plain,
( ! [X0] :
( segmentP(app(sK20,X0),sK20)
| ~ ssList(app(sK20,X0))
| ~ ssList(X0) )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_334 ),
inference(forward_demodulation,[],[f3998,f3317]) ).
fof(f3998,plain,
( ! [X0] :
( segmentP(app(sK20,X0),cons(sK22,sK23))
| ~ ssList(app(sK20,X0))
| ~ ssList(X0) )
| ~ spl71_255
| ~ spl71_334 ),
inference(forward_demodulation,[],[f3996,f2903]) ).
fof(f3997,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_334
| ~ spl71_20
| ~ spl71_234 ),
inference(avatar_split_clause,[],[f2568,f2555,f740,f3995,f666,f3448]) ).
fof(f2568,plain,
( ! [X0] :
( segmentP(app(sK20,X0),cons(sK22,nil))
| ~ ssList(X0)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssList(app(sK20,X0)) )
| ~ spl71_20
| ~ spl71_234 ),
inference(superposition,[],[f2556,f742]) ).
fof(f3991,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_333
| ~ spl71_20
| ~ spl71_215 ),
inference(avatar_split_clause,[],[f2376,f2356,f740,f3989,f3448,f666]) ).
fof(f3989,plain,
( spl71_333
<=> ! [X0] :
( ~ memberP(sK20,X0)
| ~ ssItem(X0)
| memberP(cons(sK22,nil),X0)
| memberP(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_333])]) ).
fof(f2356,plain,
( spl71_215
<=> ! [X2,X0,X1] :
( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_215])]) ).
fof(f2376,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| memberP(sK23,X0)
| memberP(cons(sK22,nil),X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssItem(X0) )
| ~ spl71_20
| ~ spl71_215 ),
inference(superposition,[],[f2357,f742]) ).
fof(f2357,plain,
( ! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl71_215 ),
inference(avatar_component_clause,[],[f2356]) ).
fof(f3984,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_332
| ~ spl71_19
| ~ spl71_215 ),
inference(avatar_split_clause,[],[f2375,f2356,f735,f3982,f666,f3448]) ).
fof(f3982,plain,
( spl71_332
<=> ! [X0] :
( ~ memberP(sK21,X0)
| ~ ssItem(X0)
| memberP(sK23,X0)
| memberP(cons(sK22,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_332])]) ).
fof(f2375,plain,
( ! [X0] :
( ~ memberP(sK21,X0)
| memberP(cons(sK22,nil),X0)
| memberP(sK23,X0)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssItem(X0) )
| ~ spl71_19
| ~ spl71_215 ),
inference(superposition,[],[f2357,f737]) ).
fof(f3972,plain,
( spl71_331
| ~ spl71_6
| ~ spl71_330 ),
inference(avatar_split_clause,[],[f3968,f3965,f671,f3970]) ).
fof(f3970,plain,
( spl71_331
<=> ! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_331])]) ).
fof(f3965,plain,
( spl71_330
<=> ! [X0,X1] :
( segmentP(app(sK21,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK23,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_330])]) ).
fof(f3968,plain,
( ! [X0,X1] :
( segmentP(app(sK20,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK23,X1) )
| ~ spl71_6
| ~ spl71_330 ),
inference(forward_demodulation,[],[f3966,f673]) ).
fof(f3966,plain,
( ! [X0,X1] :
( segmentP(app(sK21,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sK23,X1) )
| ~ spl71_330 ),
inference(avatar_component_clause,[],[f3965]) ).
fof(f3967,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_330
| ~ spl71_19
| ~ spl71_230 ),
inference(avatar_split_clause,[],[f2538,f2500,f735,f3965,f3448,f666]) ).
fof(f2538,plain,
( ! [X0,X1] :
( segmentP(app(sK21,X0),X1)
| ~ segmentP(sK23,X1)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(X1)
| ~ ssList(sK23) )
| ~ spl71_19
| ~ spl71_230 ),
inference(superposition,[],[f2501,f737]) ).
fof(f3959,plain,
( spl71_329
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_328 ),
inference(avatar_split_clause,[],[f3955,f3951,f3268,f2901,f735,f671,f661,f3957]) ).
fof(f3951,plain,
( spl71_328
<=> ! [X0] :
( sK20 != app(sK23,X0)
| ~ ssList(X0)
| cons(sK22,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_328])]) ).
fof(f3955,plain,
( ! [X0] :
( sK20 = X0
| sK20 != app(sK23,X0)
| ~ ssList(X0) )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_328 ),
inference(forward_demodulation,[],[f3954,f3317]) ).
fof(f3954,plain,
( ! [X0] :
( cons(sK22,sK23) = X0
| sK20 != app(sK23,X0)
| ~ ssList(X0) )
| ~ spl71_255
| ~ spl71_328 ),
inference(forward_demodulation,[],[f3952,f2903]) ).
fof(f3952,plain,
( ! [X0] :
( sK20 != app(sK23,X0)
| ~ ssList(X0)
| cons(sK22,nil) = X0 )
| ~ spl71_328 ),
inference(avatar_component_clause,[],[f3951]) ).
fof(f3953,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_328
| ~ spl71_20
| ~ spl71_212 ),
inference(avatar_split_clause,[],[f2343,f2294,f740,f3951,f3448,f666]) ).
fof(f2294,plain,
( spl71_212
<=> ! [X2,X0,X1] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_212])]) ).
fof(f2343,plain,
( ! [X0] :
( sK20 != app(sK23,X0)
| cons(sK22,nil) = X0
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(X0) )
| ~ spl71_20
| ~ spl71_212 ),
inference(superposition,[],[f2295,f742]) ).
fof(f2295,plain,
( ! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_212 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f3947,plain,
( spl71_327
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_326 ),
inference(avatar_split_clause,[],[f3943,f3938,f3268,f2901,f735,f671,f661,f3945]) ).
fof(f3943,plain,
( ! [X0] :
( sK20 != app(sK20,X0)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_326 ),
inference(forward_demodulation,[],[f3942,f673]) ).
fof(f3942,plain,
( ! [X0] :
( sK21 != app(sK20,X0)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_326 ),
inference(forward_demodulation,[],[f3941,f3317]) ).
fof(f3941,plain,
( ! [X0] :
( sK21 != app(cons(sK22,sK23),X0)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_255
| ~ spl71_326 ),
inference(forward_demodulation,[],[f3939,f2903]) ).
fof(f3940,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_326
| ~ spl71_19
| ~ spl71_212 ),
inference(avatar_split_clause,[],[f2342,f2294,f735,f3938,f666,f3448]) ).
fof(f2342,plain,
( ! [X0] :
( sK21 != app(cons(sK22,nil),X0)
| sK23 = X0
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssList(X0) )
| ~ spl71_19
| ~ spl71_212 ),
inference(superposition,[],[f2295,f737]) ).
fof(f3934,plain,
( spl71_325
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_324 ),
inference(avatar_split_clause,[],[f3930,f3926,f3268,f2901,f735,f671,f661,f3932]) ).
fof(f3926,plain,
( spl71_324
<=> ! [X0] :
( sK20 != app(X0,cons(sK22,nil))
| ~ ssList(X0)
| sK23 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_324])]) ).
fof(f3930,plain,
( ! [X0] :
( sK20 != app(X0,sK20)
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_324 ),
inference(forward_demodulation,[],[f3929,f3317]) ).
fof(f3929,plain,
( ! [X0] :
( sK20 != app(X0,cons(sK22,sK23))
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_255
| ~ spl71_324 ),
inference(forward_demodulation,[],[f3927,f2903]) ).
fof(f3927,plain,
( ! [X0] :
( sK20 != app(X0,cons(sK22,nil))
| ~ ssList(X0)
| sK23 = X0 )
| ~ spl71_324 ),
inference(avatar_component_clause,[],[f3926]) ).
fof(f3928,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_324
| ~ spl71_20
| ~ spl71_211 ),
inference(avatar_split_clause,[],[f2337,f2290,f740,f3926,f666,f3448]) ).
fof(f2290,plain,
( spl71_211
<=> ! [X2,X0,X1] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_211])]) ).
fof(f2337,plain,
( ! [X0] :
( sK20 != app(X0,cons(sK22,nil))
| sK23 = X0
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssList(X0) )
| ~ spl71_20
| ~ spl71_211 ),
inference(superposition,[],[f2291,f742]) ).
fof(f2291,plain,
( ! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_211 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f3919,plain,
( spl71_323
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_322 ),
inference(avatar_split_clause,[],[f3915,f3910,f3268,f2901,f735,f671,f661,f3917]) ).
fof(f3915,plain,
( ! [X0] :
( sK20 = X0
| sK20 != app(X0,sK23)
| ~ ssList(X0) )
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_322 ),
inference(forward_demodulation,[],[f3914,f3317]) ).
fof(f3914,plain,
( ! [X0] :
( cons(sK22,sK23) = X0
| sK20 != app(X0,sK23)
| ~ ssList(X0) )
| ~ spl71_6
| ~ spl71_255
| ~ spl71_322 ),
inference(forward_demodulation,[],[f3913,f2903]) ).
fof(f3912,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_322
| ~ spl71_19
| ~ spl71_211 ),
inference(avatar_split_clause,[],[f2336,f2290,f735,f3910,f3448,f666]) ).
fof(f2336,plain,
( ! [X0] :
( sK21 != app(X0,sK23)
| cons(sK22,nil) = X0
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(X0) )
| ~ spl71_19
| ~ spl71_211 ),
inference(superposition,[],[f2291,f737]) ).
fof(f3905,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_321
| ~ spl71_19
| ~ spl71_200 ),
inference(avatar_split_clause,[],[f2212,f2148,f735,f3903,f666,f3448]) ).
fof(f2212,plain,
( ! [X0] :
( frontsegP(sK21,X0)
| ~ frontsegP(cons(sK22,nil),X0)
| ~ ssList(sK23)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil)) )
| ~ spl71_19
| ~ spl71_200 ),
inference(superposition,[],[f2149,f737]) ).
fof(f3899,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_320
| ~ spl71_20
| ~ spl71_199 ),
inference(avatar_split_clause,[],[f2205,f2144,f740,f3897,f666,f3448]) ).
fof(f3897,plain,
( spl71_320
<=> ! [X0] :
( rearsegP(sK20,X0)
| ~ ssList(X0)
| ~ rearsegP(cons(sK22,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_320])]) ).
fof(f2205,plain,
( ! [X0] :
( rearsegP(sK20,X0)
| ~ rearsegP(cons(sK22,nil),X0)
| ~ ssList(sK23)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil)) )
| ~ spl71_20
| ~ spl71_199 ),
inference(superposition,[],[f2145,f742]) ).
fof(f3893,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_319
| ~ spl71_20
| ~ spl71_195 ),
inference(avatar_split_clause,[],[f2154,f2126,f740,f3891,f3448,f666]) ).
fof(f3891,plain,
( spl71_319
<=> ! [X0] :
( memberP(sK20,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK22,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_319])]) ).
fof(f2154,plain,
( ! [X0] :
( memberP(sK20,X0)
| ~ memberP(cons(sK22,nil),X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssItem(X0) )
| ~ spl71_20
| ~ spl71_195 ),
inference(superposition,[],[f2127,f742]) ).
fof(f3886,plain,
( ~ spl71_292
| ~ spl71_5
| spl71_318
| ~ spl71_19
| ~ spl71_194 ),
inference(avatar_split_clause,[],[f2151,f2122,f735,f3884,f666,f3448]) ).
fof(f3884,plain,
( spl71_318
<=> ! [X0] :
( memberP(sK21,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK22,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_318])]) ).
fof(f2151,plain,
( ! [X0] :
( memberP(sK21,X0)
| ~ memberP(cons(sK22,nil),X0)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssItem(X0) )
| ~ spl71_19
| ~ spl71_194 ),
inference(superposition,[],[f2123,f737]) ).
fof(f3838,plain,
( spl71_317
| ~ spl71_15
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2913,f2901,f715,f3835]) ).
fof(f715,plain,
( spl71_15
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_15])]) ).
fof(f2913,plain,
( totalorderedP(sK23)
| ~ spl71_15
| ~ spl71_255 ),
inference(superposition,[],[f717,f2903]) ).
fof(f717,plain,
( totalorderedP(nil)
| ~ spl71_15 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f3705,plain,
( spl71_316
| ~ spl71_5
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2420,f2366,f666,f3703]) ).
fof(f3703,plain,
( spl71_316
<=> ! [X0,X1] :
( app(app(X0,X1),sK23) = app(X0,app(X1,sK23))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_316])]) ).
fof(f2420,plain,
( ! [X0,X1] :
( app(app(X0,X1),sK23) = app(X0,app(X1,sK23))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_5
| ~ spl71_217 ),
inference(resolution,[],[f2367,f668]) ).
fof(f3700,plain,
( spl71_315
| ~ spl71_2
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2419,f2366,f651,f3698]) ).
fof(f3698,plain,
( spl71_315
<=> ! [X0,X1] :
( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_315])]) ).
fof(f2419,plain,
( ! [X0,X1] :
( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_2
| ~ spl71_217 ),
inference(resolution,[],[f2367,f653]) ).
fof(f3696,plain,
( spl71_314
| ~ spl71_1
| ~ spl71_217 ),
inference(avatar_split_clause,[],[f2418,f2366,f646,f3694]) ).
fof(f3694,plain,
( spl71_314
<=> ! [X0,X1] :
( app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_314])]) ).
fof(f2418,plain,
( ! [X0,X1] :
( app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_1
| ~ spl71_217 ),
inference(resolution,[],[f2367,f648]) ).
fof(f3692,plain,
( spl71_313
| ~ spl71_5
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2385,f2360,f666,f3690]) ).
fof(f3690,plain,
( spl71_313
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK23,X1)) = app(cons(X0,sK23),X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_313])]) ).
fof(f2385,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK23,X1)) = app(cons(X0,sK23),X1)
| ~ ssList(X1) )
| ~ spl71_5
| ~ spl71_216 ),
inference(resolution,[],[f2361,f668]) ).
fof(f3687,plain,
( spl71_312
| ~ spl71_2
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2384,f2360,f651,f3685]) ).
fof(f3685,plain,
( spl71_312
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_312])]) ).
fof(f2384,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
| ~ ssList(X1) )
| ~ spl71_2
| ~ spl71_216 ),
inference(resolution,[],[f2361,f653]) ).
fof(f3683,plain,
( spl71_311
| ~ spl71_1
| ~ spl71_216 ),
inference(avatar_split_clause,[],[f2383,f2360,f646,f3681]) ).
fof(f3681,plain,
( spl71_311
<=> ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_311])]) ).
fof(f2383,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
| ~ ssList(X1) )
| ~ spl71_1
| ~ spl71_216 ),
inference(resolution,[],[f2361,f648]) ).
fof(f3633,plain,
( spl71_310
| ~ spl71_14
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2912,f2901,f710,f3630]) ).
fof(f710,plain,
( spl71_14
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_14])]) ).
fof(f2912,plain,
( strictorderedP(sK23)
| ~ spl71_14
| ~ spl71_255 ),
inference(superposition,[],[f712,f2903]) ).
fof(f712,plain,
( strictorderedP(nil)
| ~ spl71_14 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f3586,plain,
( spl71_309
| ~ spl71_255
| ~ spl71_304 ),
inference(avatar_split_clause,[],[f3561,f3558,f2901,f3584]) ).
fof(f3584,plain,
( spl71_309
<=> ! [X0] :
( sK23 = X0
| tl(app(X0,sK23)) = app(tl(X0),sK23)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_309])]) ).
fof(f3558,plain,
( spl71_304
<=> ! [X0] :
( nil = X0
| tl(app(X0,sK23)) = app(tl(X0),sK23)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_304])]) ).
fof(f3561,plain,
( ! [X0] :
( sK23 = X0
| tl(app(X0,sK23)) = app(tl(X0),sK23)
| ~ ssList(X0) )
| ~ spl71_255
| ~ spl71_304 ),
inference(forward_demodulation,[],[f3559,f2903]) ).
fof(f3559,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK23)) = app(tl(X0),sK23)
| nil = X0 )
| ~ spl71_304 ),
inference(avatar_component_clause,[],[f3558]) ).
fof(f3582,plain,
( spl71_308
| ~ spl71_255
| ~ spl71_301 ),
inference(avatar_split_clause,[],[f3545,f3542,f2901,f3580]) ).
fof(f3545,plain,
( ! [X0] :
( sK23 = X0
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| ~ ssList(X0) )
| ~ spl71_255
| ~ spl71_301 ),
inference(forward_demodulation,[],[f3543,f2903]) ).
fof(f3543,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| nil = X0 )
| ~ spl71_301 ),
inference(avatar_component_clause,[],[f3542]) ).
fof(f3578,plain,
( ~ spl71_307
| ~ spl71_6
| spl71_306 ),
inference(avatar_split_clause,[],[f3573,f3569,f671,f3575]) ).
fof(f3575,plain,
( spl71_307
<=> sK20 = cons(sK22,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_307])]) ).
fof(f3569,plain,
( spl71_306
<=> sK21 = cons(sK22,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_306])]) ).
fof(f3573,plain,
( sK20 != cons(sK22,sK20)
| ~ spl71_6
| spl71_306 ),
inference(forward_demodulation,[],[f3570,f673]) ).
fof(f3570,plain,
( sK21 != cons(sK22,sK21)
| spl71_306 ),
inference(avatar_component_clause,[],[f3569]) ).
fof(f3572,plain,
( ~ spl71_286
| ~ spl71_5
| spl71_306
| ~ spl71_7
| ~ spl71_19
| ~ spl71_183 ),
inference(avatar_split_clause,[],[f2784,f1926,f735,f675,f3569,f666,f3337]) ).
fof(f1926,plain,
( spl71_183
<=> ! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_183])]) ).
fof(f2784,plain,
( nil != sK21
| sK21 = cons(sK22,sK21)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,sK21))
| ~ spl71_19
| ~ spl71_183 ),
inference(inner_rewriting,[],[f2007]) ).
fof(f2007,plain,
( nil != sK21
| nil = cons(sK22,nil)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ spl71_19
| ~ spl71_183 ),
inference(superposition,[],[f1927,f737]) ).
fof(f1927,plain,
( ! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_183 ),
inference(avatar_component_clause,[],[f1926]) ).
fof(f3565,plain,
( ~ spl71_4
| ~ spl71_5
| ~ spl71_16
| spl71_305
| ~ spl71_20
| ~ spl71_231 ),
inference(avatar_split_clause,[],[f2545,f2504,f740,f3563,f720,f666,f661]) ).
fof(f2545,plain,
( ! [X0] :
( ~ sP6(app(sK20,cons(sK22,X0)))
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(sK22)
| ~ ssList(X0) )
| ~ spl71_20
| ~ spl71_231 ),
inference(superposition,[],[f2505,f742]) ).
fof(f3560,plain,
( spl71_304
| ~ spl71_5
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2307,f2284,f666,f3558]) ).
fof(f2307,plain,
( ! [X0] :
( nil = X0
| tl(app(X0,sK23)) = app(tl(X0),sK23)
| ~ ssList(X0) )
| ~ spl71_5
| ~ spl71_210 ),
inference(resolution,[],[f2285,f668]) ).
fof(f3554,plain,
( spl71_303
| ~ spl71_2
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2306,f2284,f651,f3552]) ).
fof(f2306,plain,
( ! [X0] :
( nil = X0
| tl(app(X0,sK21)) = app(tl(X0),sK21)
| ~ ssList(X0) )
| ~ spl71_2
| ~ spl71_210 ),
inference(resolution,[],[f2285,f653]) ).
fof(f3550,plain,
( spl71_302
| ~ spl71_13
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2911,f2901,f705,f3547]) ).
fof(f705,plain,
( spl71_13
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_13])]) ).
fof(f2911,plain,
( totalorderP(sK23)
| ~ spl71_13
| ~ spl71_255 ),
inference(superposition,[],[f707,f2903]) ).
fof(f707,plain,
( totalorderP(nil)
| ~ spl71_13 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f3544,plain,
( spl71_301
| ~ spl71_1
| ~ spl71_210 ),
inference(avatar_split_clause,[],[f2305,f2284,f646,f3542]) ).
fof(f2305,plain,
( ! [X0] :
( nil = X0
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| ~ ssList(X0) )
| ~ spl71_1
| ~ spl71_210 ),
inference(resolution,[],[f2285,f648]) ).
fof(f3534,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_300
| ~ spl71_20
| ~ spl71_200 ),
inference(avatar_split_clause,[],[f2213,f2148,f740,f3532,f3448,f666]) ).
fof(f2213,plain,
( ! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(sK23,X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(X0)
| ~ ssList(sK23) )
| ~ spl71_20
| ~ spl71_200 ),
inference(superposition,[],[f2149,f742]) ).
fof(f3524,plain,
( spl71_299
| ~ spl71_6
| ~ spl71_298 ),
inference(avatar_split_clause,[],[f3520,f3517,f671,f3522]) ).
fof(f3517,plain,
( spl71_298
<=> ! [X0] :
( rearsegP(sK21,X0)
| ~ ssList(X0)
| ~ rearsegP(sK23,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_298])]) ).
fof(f3520,plain,
( ! [X0] :
( rearsegP(sK20,X0)
| ~ ssList(X0)
| ~ rearsegP(sK23,X0) )
| ~ spl71_6
| ~ spl71_298 ),
inference(forward_demodulation,[],[f3518,f673]) ).
fof(f3518,plain,
( ! [X0] :
( ~ rearsegP(sK23,X0)
| ~ ssList(X0)
| rearsegP(sK21,X0) )
| ~ spl71_298 ),
inference(avatar_component_clause,[],[f3517]) ).
fof(f3519,plain,
( ~ spl71_5
| ~ spl71_292
| spl71_298
| ~ spl71_19
| ~ spl71_199 ),
inference(avatar_split_clause,[],[f2204,f2144,f735,f3517,f3448,f666]) ).
fof(f2204,plain,
( ! [X0] :
( rearsegP(sK21,X0)
| ~ rearsegP(sK23,X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(X0)
| ~ ssList(sK23) )
| ~ spl71_19
| ~ spl71_199 ),
inference(superposition,[],[f2145,f737]) ).
fof(f3509,plain,
( spl71_297
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_296 ),
inference(avatar_split_clause,[],[f3504,f3498,f3268,f2901,f735,f671,f661,f3506]) ).
fof(f3506,plain,
( spl71_297
<=> frontsegP(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_297])]) ).
fof(f3504,plain,
( frontsegP(sK20,sK20)
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_296 ),
inference(forward_demodulation,[],[f3503,f673]) ).
fof(f3503,plain,
( frontsegP(sK21,sK20)
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_296 ),
inference(forward_demodulation,[],[f3502,f3317]) ).
fof(f3502,plain,
( frontsegP(sK21,cons(sK22,sK23))
| ~ spl71_255
| ~ spl71_296 ),
inference(forward_demodulation,[],[f3500,f2903]) ).
fof(f3501,plain,
( ~ spl71_2
| ~ spl71_292
| ~ spl71_5
| spl71_296
| ~ spl71_19
| ~ spl71_192 ),
inference(avatar_split_clause,[],[f2114,f2045,f735,f3498,f666,f3448,f651]) ).
fof(f2114,plain,
( frontsegP(sK21,cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK21)
| ~ spl71_19
| ~ spl71_192 ),
inference(superposition,[],[f2046,f737]) ).
fof(f3490,plain,
( spl71_295
| ~ spl71_12
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2910,f2901,f700,f3487]) ).
fof(f700,plain,
( spl71_12
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_12])]) ).
fof(f2910,plain,
( strictorderP(sK23)
| ~ spl71_12
| ~ spl71_255 ),
inference(superposition,[],[f702,f2903]) ).
fof(f702,plain,
( strictorderP(nil)
| ~ spl71_12 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f3485,plain,
( spl71_294
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_293 ),
inference(avatar_split_clause,[],[f3478,f3452,f3268,f2901,f735,f671,f661,f3482]) ).
fof(f3482,plain,
( spl71_294
<=> rearsegP(sK20,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_294])]) ).
fof(f3452,plain,
( spl71_293
<=> rearsegP(sK20,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_293])]) ).
fof(f3478,plain,
( rearsegP(sK20,sK20)
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| ~ spl71_293 ),
inference(forward_demodulation,[],[f3477,f3317]) ).
fof(f3477,plain,
( rearsegP(sK20,cons(sK22,sK23))
| ~ spl71_255
| ~ spl71_293 ),
inference(forward_demodulation,[],[f3454,f2903]) ).
fof(f3454,plain,
( rearsegP(sK20,cons(sK22,nil))
| ~ spl71_293 ),
inference(avatar_component_clause,[],[f3452]) ).
fof(f3460,plain,
( ~ spl71_1
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| spl71_292 ),
inference(avatar_split_clause,[],[f3459,f3448,f3268,f2901,f735,f671,f661,f646]) ).
fof(f3459,plain,
( ~ ssList(sK20)
| ~ spl71_4
| ~ spl71_6
| ~ spl71_19
| ~ spl71_255
| ~ spl71_282
| spl71_292 ),
inference(forward_demodulation,[],[f3458,f3317]) ).
fof(f3458,plain,
( ~ ssList(cons(sK22,sK23))
| ~ spl71_255
| spl71_292 ),
inference(forward_demodulation,[],[f3450,f2903]) ).
fof(f3455,plain,
( ~ spl71_1
| ~ spl71_292
| ~ spl71_5
| spl71_293
| ~ spl71_20
| ~ spl71_191 ),
inference(avatar_split_clause,[],[f2111,f2041,f740,f3452,f666,f3448,f646]) ).
fof(f2111,plain,
( rearsegP(sK20,cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK20)
| ~ spl71_20
| ~ spl71_191 ),
inference(superposition,[],[f2042,f742]) ).
fof(f3365,plain,
( spl71_291
| ~ spl71_255
| ~ spl71_285 ),
inference(avatar_split_clause,[],[f3335,f3332,f2901,f3363]) ).
fof(f3335,plain,
( ! [X0] :
( sK23 = X0
| hd(X0) = hd(app(X0,sK23))
| ~ ssList(X0) )
| ~ spl71_255
| ~ spl71_285 ),
inference(forward_demodulation,[],[f3333,f2903]) ).
fof(f3361,plain,
( spl71_290
| ~ spl71_255
| ~ spl71_283 ),
inference(avatar_split_clause,[],[f3324,f3321,f2901,f3359]) ).
fof(f3324,plain,
( ! [X0] :
( sK23 = X0
| hd(X0) = hd(app(X0,sK20))
| ~ ssList(X0) )
| ~ spl71_255
| ~ spl71_283 ),
inference(forward_demodulation,[],[f3322,f2903]) ).
fof(f3356,plain,
( ~ spl71_289
| ~ spl71_6
| spl71_286 ),
inference(avatar_split_clause,[],[f3345,f3337,f671,f3353]) ).
fof(f3345,plain,
( ~ ssList(cons(sK22,sK20))
| ~ spl71_6
| spl71_286 ),
inference(forward_demodulation,[],[f3339,f673]) ).
fof(f3339,plain,
( ~ ssList(cons(sK22,sK21))
| spl71_286 ),
inference(avatar_component_clause,[],[f3337]) ).
fof(f3350,plain,
( spl71_288
| ~ spl71_11
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2909,f2901,f695,f3347]) ).
fof(f695,plain,
( spl71_11
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_11])]) ).
fof(f2909,plain,
( cyclefreeP(sK23)
| ~ spl71_11
| ~ spl71_255 ),
inference(superposition,[],[f697,f2903]) ).
fof(f697,plain,
( cyclefreeP(nil)
| ~ spl71_11 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f3344,plain,
( ~ spl71_286
| ~ spl71_5
| spl71_287
| ~ spl71_7
| ~ spl71_19
| ~ spl71_182 ),
inference(avatar_split_clause,[],[f2785,f1920,f735,f675,f3341,f666,f3337]) ).
fof(f3341,plain,
( spl71_287
<=> sK21 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_287])]) ).
fof(f1920,plain,
( spl71_182
<=> ! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_182])]) ).
fof(f2785,plain,
( nil != sK21
| sK21 = sK23
| ~ ssList(sK23)
| ~ ssList(cons(sK22,sK21))
| ~ spl71_19
| ~ spl71_182 ),
inference(inner_rewriting,[],[f2004]) ).
fof(f2004,plain,
( nil != sK21
| nil = sK23
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ spl71_19
| ~ spl71_182 ),
inference(superposition,[],[f1921,f737]) ).
fof(f1921,plain,
( ! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl71_182 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f3334,plain,
( spl71_285
| ~ spl71_5
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2161,f2130,f666,f3332]) ).
fof(f2161,plain,
( ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK23))
| ~ ssList(X0) )
| ~ spl71_5
| ~ spl71_196 ),
inference(resolution,[],[f2131,f668]) ).
fof(f3328,plain,
( spl71_284
| ~ spl71_2
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2160,f2130,f651,f3326]) ).
fof(f2160,plain,
( ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK21))
| ~ ssList(X0) )
| ~ spl71_2
| ~ spl71_196 ),
inference(resolution,[],[f2131,f653]) ).
fof(f3323,plain,
( spl71_283
| ~ spl71_1
| ~ spl71_196 ),
inference(avatar_split_clause,[],[f2159,f2130,f646,f3321]) ).
fof(f2159,plain,
( ! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK20))
| ~ ssList(X0) )
| ~ spl71_1
| ~ spl71_196 ),
inference(resolution,[],[f2131,f648]) ).
fof(f3270,plain,
( spl71_282
| ~ spl71_255
| ~ spl71_278 ),
inference(avatar_split_clause,[],[f3251,f3248,f2901,f3268]) ).
fof(f3251,plain,
( ! [X0] :
( cons(X0,sK23) = app(cons(X0,sK23),sK23)
| ~ ssItem(X0) )
| ~ spl71_255
| ~ spl71_278 ),
inference(forward_demodulation,[],[f3249,f2903]) ).
fof(f3266,plain,
( spl71_281
| ~ spl71_255
| ~ spl71_276 ),
inference(avatar_split_clause,[],[f3240,f3237,f2901,f3264]) ).
fof(f3240,plain,
( ! [X0] :
( cons(X0,sK20) = app(cons(X0,sK23),sK20)
| ~ ssItem(X0) )
| ~ spl71_255
| ~ spl71_276 ),
inference(forward_demodulation,[],[f3238,f2903]) ).
fof(f3261,plain,
( ~ spl71_1
| ~ spl71_4
| ~ spl71_5
| ~ spl71_16
| spl71_280
| ~ spl71_20
| ~ spl71_233 ),
inference(avatar_split_clause,[],[f2561,f2551,f740,f3258,f720,f666,f661,f646]) ).
fof(f3258,plain,
( spl71_280
<=> memberP(sK20,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_280])]) ).
fof(f2561,plain,
( memberP(sK20,sK22)
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(sK22)
| ~ ssList(sK20)
| ~ spl71_20
| ~ spl71_233 ),
inference(superposition,[],[f2552,f742]) ).
fof(f3256,plain,
( spl71_279
| ~ spl71_10
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2908,f2901,f690,f3253]) ).
fof(f690,plain,
( spl71_10
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_10])]) ).
fof(f2908,plain,
( duplicatefreeP(sK23)
| ~ spl71_10
| ~ spl71_255 ),
inference(superposition,[],[f692,f2903]) ).
fof(f692,plain,
( duplicatefreeP(nil)
| ~ spl71_10 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f3250,plain,
( spl71_278
| ~ spl71_5
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2066,f2025,f666,f3248]) ).
fof(f2066,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK23) = app(cons(X0,nil),sK23) )
| ~ spl71_5
| ~ spl71_187 ),
inference(resolution,[],[f2026,f668]) ).
fof(f3244,plain,
( spl71_277
| ~ spl71_2
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2065,f2025,f651,f3242]) ).
fof(f2065,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK21) = app(cons(X0,nil),sK21) )
| ~ spl71_2
| ~ spl71_187 ),
inference(resolution,[],[f2026,f653]) ).
fof(f3239,plain,
( spl71_276
| ~ spl71_1
| ~ spl71_187 ),
inference(avatar_split_clause,[],[f2064,f2025,f646,f3237]) ).
fof(f2064,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK20) = app(cons(X0,nil),sK20) )
| ~ spl71_1
| ~ spl71_187 ),
inference(resolution,[],[f2026,f648]) ).
fof(f3199,plain,
( spl71_275
| ~ spl71_249
| ~ spl71_256
| ~ spl71_274 ),
inference(avatar_split_clause,[],[f3194,f3189,f2949,f2766,f3196]) ).
fof(f3189,plain,
( spl71_274
<=> sK20 = cons(hd(sK20),tl(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_274])]) ).
fof(f3194,plain,
( sK20 = cons(sK26(sK20),sK27(sK20))
| ~ spl71_249
| ~ spl71_256
| ~ spl71_274 ),
inference(forward_demodulation,[],[f3193,f2768]) ).
fof(f3193,plain,
( sK20 = cons(hd(sK20),sK27(sK20))
| ~ spl71_256
| ~ spl71_274 ),
inference(forward_demodulation,[],[f3191,f2951]) ).
fof(f3191,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| ~ spl71_274 ),
inference(avatar_component_clause,[],[f3189]) ).
fof(f3192,plain,
( spl71_274
| spl71_250
| ~ spl71_1
| ~ spl71_181 ),
inference(avatar_split_clause,[],[f1973,f1916,f646,f2770,f3189]) ).
fof(f1973,plain,
( nil = sK20
| sK20 = cons(hd(sK20),tl(sK20))
| ~ spl71_1
| ~ spl71_181 ),
inference(resolution,[],[f1917,f648]) ).
fof(f3151,plain,
( spl71_273
| spl71_250
| ~ spl71_1
| ~ spl71_180 ),
inference(avatar_split_clause,[],[f1938,f1912,f646,f2770,f3148]) ).
fof(f1938,plain,
( nil = sK20
| sK20 = cons(sK25(sK20),sK24(sK20))
| ~ spl71_1
| ~ spl71_180 ),
inference(resolution,[],[f1913,f648]) ).
fof(f3145,plain,
( spl71_272
| ~ spl71_16
| ~ spl71_30 ),
inference(avatar_split_clause,[],[f814,f782,f720,f3142]) ).
fof(f3142,plain,
( spl71_272
<=> sP17(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_272])]) ).
fof(f814,plain,
( sP17(nil)
| ~ spl71_16
| ~ spl71_30 ),
inference(resolution,[],[f783,f722]) ).
fof(f3139,plain,
( spl71_271
| ~ spl71_16
| ~ spl71_29 ),
inference(avatar_split_clause,[],[f810,f778,f720,f3136]) ).
fof(f3136,plain,
( spl71_271
<=> sP15(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_271])]) ).
fof(f810,plain,
( sP15(nil)
| ~ spl71_16
| ~ spl71_29 ),
inference(resolution,[],[f779,f722]) ).
fof(f3134,plain,
( spl71_270
| ~ spl71_9
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2907,f2901,f685,f3131]) ).
fof(f685,plain,
( spl71_9
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_9])]) ).
fof(f2907,plain,
( equalelemsP(sK23)
| ~ spl71_9
| ~ spl71_255 ),
inference(superposition,[],[f687,f2903]) ).
fof(f687,plain,
( equalelemsP(nil)
| ~ spl71_9 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f3128,plain,
( spl71_269
| ~ spl71_16
| ~ spl71_28 ),
inference(avatar_split_clause,[],[f806,f774,f720,f3125]) ).
fof(f3125,plain,
( spl71_269
<=> sP13(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_269])]) ).
fof(f806,plain,
( sP13(nil)
| ~ spl71_16
| ~ spl71_28 ),
inference(resolution,[],[f775,f722]) ).
fof(f3122,plain,
( spl71_268
| ~ spl71_16
| ~ spl71_27 ),
inference(avatar_split_clause,[],[f797,f770,f720,f3119]) ).
fof(f3119,plain,
( spl71_268
<=> sP11(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_268])]) ).
fof(f797,plain,
( sP11(nil)
| ~ spl71_16
| ~ spl71_27 ),
inference(resolution,[],[f771,f722]) ).
fof(f3116,plain,
( spl71_267
| ~ spl71_16
| ~ spl71_26 ),
inference(avatar_split_clause,[],[f793,f766,f720,f3113]) ).
fof(f3113,plain,
( spl71_267
<=> sP9(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_267])]) ).
fof(f793,plain,
( sP9(nil)
| ~ spl71_16
| ~ spl71_26 ),
inference(resolution,[],[f767,f722]) ).
fof(f3110,plain,
( spl71_266
| ~ spl71_16
| ~ spl71_25 ),
inference(avatar_split_clause,[],[f789,f762,f720,f3107]) ).
fof(f3107,plain,
( spl71_266
<=> sP7(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_266])]) ).
fof(f789,plain,
( sP7(nil)
| ~ spl71_16
| ~ spl71_25 ),
inference(resolution,[],[f763,f722]) ).
fof(f3104,plain,
( spl71_265
| ~ spl71_16
| ~ spl71_24 ),
inference(avatar_split_clause,[],[f785,f758,f720,f3101]) ).
fof(f3101,plain,
( spl71_265
<=> sP5(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_265])]) ).
fof(f785,plain,
( sP5(nil)
| ~ spl71_16
| ~ spl71_24 ),
inference(resolution,[],[f759,f722]) ).
fof(f3003,plain,
( spl71_264
| ~ spl71_5
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1770,f1639,f666,f3001]) ).
fof(f1770,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23)) = X0 )
| ~ spl71_5
| ~ spl71_169 ),
inference(resolution,[],[f1640,f668]) ).
fof(f2999,plain,
( ~ spl71_263
| spl71_8
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2906,f2901,f680,f2996]) ).
fof(f2996,plain,
( spl71_263
<=> singletonP(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_263])]) ).
fof(f680,plain,
( spl71_8
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_8])]) ).
fof(f2906,plain,
( ~ singletonP(sK23)
| spl71_8
| ~ spl71_255 ),
inference(superposition,[],[f682,f2903]) ).
fof(f682,plain,
( ~ singletonP(nil)
| spl71_8 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f2993,plain,
( spl71_262
| ~ spl71_2
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1769,f1639,f651,f2991]) ).
fof(f2991,plain,
( spl71_262
<=> ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_262])]) ).
fof(f1769,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 )
| ~ spl71_2
| ~ spl71_169 ),
inference(resolution,[],[f1640,f653]) ).
fof(f2989,plain,
( spl71_261
| ~ spl71_1
| ~ spl71_169 ),
inference(avatar_split_clause,[],[f1768,f1639,f646,f2987]) ).
fof(f1768,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 )
| ~ spl71_1
| ~ spl71_169 ),
inference(resolution,[],[f1640,f648]) ).
fof(f2985,plain,
( spl71_260
| ~ spl71_5
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1739,f1635,f666,f2983]) ).
fof(f1739,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK23 = tl(cons(X0,sK23)) )
| ~ spl71_5
| ~ spl71_168 ),
inference(resolution,[],[f1636,f668]) ).
fof(f2980,plain,
( spl71_259
| ~ spl71_2
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1738,f1635,f651,f2978]) ).
fof(f2978,plain,
( spl71_259
<=> ! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_259])]) ).
fof(f1738,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) )
| ~ spl71_2
| ~ spl71_168 ),
inference(resolution,[],[f1636,f653]) ).
fof(f2976,plain,
( spl71_258
| ~ spl71_1
| ~ spl71_168 ),
inference(avatar_split_clause,[],[f1737,f1635,f646,f2974]) ).
fof(f1737,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) )
| ~ spl71_1
| ~ spl71_168 ),
inference(resolution,[],[f1636,f648]) ).
fof(f2962,plain,
( spl71_257
| ~ spl71_250
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2956,f2901,f2770,f2958]) ).
fof(f2956,plain,
( sK20 = sK23
| ~ spl71_250
| ~ spl71_255 ),
inference(forward_demodulation,[],[f2772,f2903]) ).
fof(f2772,plain,
( nil = sK20
| ~ spl71_250 ),
inference(avatar_component_clause,[],[f2770]) ).
fof(f2961,plain,
( ~ spl71_257
| ~ spl71_6
| spl71_7
| ~ spl71_255 ),
inference(avatar_split_clause,[],[f2953,f2901,f675,f671,f2958]) ).
fof(f2953,plain,
( sK20 != sK23
| ~ spl71_6
| spl71_7
| ~ spl71_255 ),
inference(forward_demodulation,[],[f2890,f2903]) ).
fof(f2952,plain,
( spl71_256
| spl71_250
| ~ spl71_1
| ~ spl71_166 ),
inference(avatar_split_clause,[],[f1708,f1627,f646,f2770,f2949]) ).
fof(f1708,plain,
( nil = sK20
| tl(sK20) = sK27(sK20)
| ~ spl71_1
| ~ spl71_166 ),
inference(resolution,[],[f1628,f648]) ).
fof(f2904,plain,
( spl71_254
| spl71_255
| ~ spl71_5
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1681,f1623,f666,f2901,f2897]) ).
fof(f1681,plain,
( nil = sK23
| hd(sK23) = sK26(sK23)
| ~ spl71_5
| ~ spl71_165 ),
inference(resolution,[],[f1624,f668]) ).
fof(f2895,plain,
( spl71_253
| ~ spl71_3
| ~ spl71_6 ),
inference(avatar_split_clause,[],[f2788,f671,f656,f2892]) ).
fof(f2892,plain,
( spl71_253
<=> neq(sK20,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_253])]) ).
fof(f656,plain,
( spl71_3
<=> neq(sK21,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_3])]) ).
fof(f2788,plain,
( neq(sK20,nil)
| ~ spl71_3
| ~ spl71_6 ),
inference(superposition,[],[f658,f673]) ).
fof(f658,plain,
( neq(sK21,nil)
| ~ spl71_3 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f2882,plain,
( spl71_248
| ~ spl71_6
| ~ spl71_7
| ~ spl71_9 ),
inference(avatar_split_clause,[],[f2839,f685,f675,f671,f2653]) ).
fof(f2653,plain,
( spl71_248
<=> equalelemsP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_248])]) ).
fof(f2839,plain,
( equalelemsP(sK20)
| ~ spl71_6
| ~ spl71_7
| ~ spl71_9 ),
inference(forward_demodulation,[],[f2802,f673]) ).
fof(f2802,plain,
( equalelemsP(sK21)
| ~ spl71_7
| ~ spl71_9 ),
inference(superposition,[],[f687,f676]) ).
fof(f676,plain,
( nil = sK21
| ~ spl71_7 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f2881,plain,
( ~ spl71_252
| ~ spl71_6
| ~ spl71_7
| spl71_8 ),
inference(avatar_split_clause,[],[f2838,f680,f675,f671,f2878]) ).
fof(f2878,plain,
( spl71_252
<=> singletonP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_252])]) ).
fof(f2838,plain,
( ~ singletonP(sK20)
| ~ spl71_6
| ~ spl71_7
| spl71_8 ),
inference(forward_demodulation,[],[f2801,f673]) ).
fof(f2801,plain,
( ~ singletonP(sK21)
| ~ spl71_7
| spl71_8 ),
inference(superposition,[],[f682,f676]) ).
fof(f2783,plain,
( spl71_251
| spl71_7
| ~ spl71_2
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1680,f1623,f651,f675,f2780]) ).
fof(f1680,plain,
( nil = sK21
| hd(sK21) = sK26(sK21)
| ~ spl71_2
| ~ spl71_165 ),
inference(resolution,[],[f1624,f653]) ).
fof(f2773,plain,
( spl71_249
| spl71_250
| ~ spl71_1
| ~ spl71_165 ),
inference(avatar_split_clause,[],[f1679,f1623,f646,f2770,f2766]) ).
fof(f1679,plain,
( nil = sK20
| hd(sK20) = sK26(sK20)
| ~ spl71_1
| ~ spl71_165 ),
inference(resolution,[],[f1624,f648]) ).
fof(f2656,plain,
( spl71_247
| ~ spl71_248
| ~ spl71_31
| ~ spl71_96 ),
inference(avatar_split_clause,[],[f1286,f1226,f802,f2653,f2649]) ).
fof(f802,plain,
( spl71_31
<=> sP5(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_31])]) ).
fof(f1286,plain,
( ~ equalelemsP(sK20)
| sP4(sK20)
| ~ spl71_31
| ~ spl71_96 ),
inference(resolution,[],[f1227,f804]) ).
fof(f804,plain,
( sP5(sK20)
| ~ spl71_31 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f2647,plain,
( spl71_246
| ~ spl71_5
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1390,f1311,f666,f2644]) ).
fof(f1390,plain,
( sK23 = app(nil,sK23)
| ~ spl71_5
| ~ spl71_116 ),
inference(resolution,[],[f1312,f668]) ).
fof(f2642,plain,
( spl71_245
| ~ spl71_2
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1389,f1311,f651,f2639]) ).
fof(f2639,plain,
( spl71_245
<=> sK21 = app(nil,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_245])]) ).
fof(f1389,plain,
( sK21 = app(nil,sK21)
| ~ spl71_2
| ~ spl71_116 ),
inference(resolution,[],[f1312,f653]) ).
fof(f2637,plain,
( spl71_244
| ~ spl71_1
| ~ spl71_116 ),
inference(avatar_split_clause,[],[f1388,f1311,f646,f2634]) ).
fof(f1388,plain,
( sK20 = app(nil,sK20)
| ~ spl71_1
| ~ spl71_116 ),
inference(resolution,[],[f1312,f648]) ).
fof(f2632,plain,
( spl71_243
| ~ spl71_5
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1366,f1307,f666,f2629]) ).
fof(f2629,plain,
( spl71_243
<=> sK23 = app(sK23,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_243])]) ).
fof(f1366,plain,
( sK23 = app(sK23,nil)
| ~ spl71_5
| ~ spl71_115 ),
inference(resolution,[],[f1308,f668]) ).
fof(f2627,plain,
( spl71_242
| ~ spl71_2
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1365,f1307,f651,f2624]) ).
fof(f2624,plain,
( spl71_242
<=> sK21 = app(sK21,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_242])]) ).
fof(f1365,plain,
( sK21 = app(sK21,nil)
| ~ spl71_2
| ~ spl71_115 ),
inference(resolution,[],[f1308,f653]) ).
fof(f2622,plain,
( spl71_241
| ~ spl71_1
| ~ spl71_115 ),
inference(avatar_split_clause,[],[f1364,f1307,f646,f2619]) ).
fof(f1364,plain,
( sK20 = app(sK20,nil)
| ~ spl71_1
| ~ spl71_115 ),
inference(resolution,[],[f1308,f648]) ).
fof(f2603,plain,
spl71_240,
inference(avatar_split_clause,[],[f624,f2601]) ).
fof(f624,plain,
! [X10,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f521]) ).
fof(f521,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ( sP12(X0)
| ( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0
& ssList(sK52(X0))
& ssList(sK51(X0))
& ssList(sK50(X0))
& ssItem(sK49(X0))
& ssItem(sK48(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49,sK50,sK51,sK52])],[f324,f329,f328,f327,f326,f325]) ).
fof(f325,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK48(X0))
& leq(sK48(X0),X2)
& app(app(X3,cons(sK48(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK48(X0))
& leq(sK48(X0),X2)
& app(app(X3,cons(sK48(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(X3,cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(X3,cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f328,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),X4)),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),X5)) = X0
& ssList(X5) )
& ssList(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
! [X0] :
( ? [X5] :
( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK49(X0),sK48(X0))
& leq(sK48(X0),sK49(X0))
& app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0
& ssList(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP12(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f2599,plain,
spl71_239,
inference(avatar_split_clause,[],[f623,f2597]) ).
fof(f623,plain,
! [X10,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f509]) ).
fof(f509,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( sP10(X0)
| ( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0
& ssList(sK47(X0))
& ssList(sK46(X0))
& ssList(sK45(X0))
& ssItem(sK44(X0))
& ssItem(sK43(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44,sK45,sK46,sK47])],[f315,f320,f319,f318,f317,f316]) ).
fof(f316,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK43(X0))
& ~ lt(sK43(X0),X2)
& app(app(X3,cons(sK43(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK43(X0))
& ~ lt(sK43(X0),X2)
& app(app(X3,cons(sK43(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(X3,cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(X3,cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),X4)),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),X5)) = X0
& ssList(X5) )
& ssList(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK44(X0),sK43(X0))
& ~ lt(sK43(X0),sK44(X0))
& app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0
& ssList(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP10(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2595,plain,
spl71_238,
inference(avatar_split_clause,[],[f622,f2593]) ).
fof(f622,plain,
! [X10,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f497]) ).
fof(f497,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( sP8(X0)
| ( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0
& ssList(sK42(X0))
& ssList(sK41(X0))
& ssList(sK40(X0))
& ssItem(sK39(X0))
& ssItem(sK38(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41,sK42])],[f306,f311,f310,f309,f308,f307]) ).
fof(f307,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK38(X0))
& ~ leq(sK38(X0),X2)
& app(app(X3,cons(sK38(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK38(X0))
& ~ leq(sK38(X0),X2)
& app(app(X3,cons(sK38(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(X3,cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(X3,cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK39(X0),sK38(X0))
& ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(rectify,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP8(X0) ) ),
inference(nnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP8(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f2585,plain,
spl71_237,
inference(avatar_split_clause,[],[f626,f2583]) ).
fof(f626,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f544]) ).
fof(f544,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( sP16(X0)
| ( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0
& ssList(sK62(X0))
& ssList(sK61(X0))
& ssList(sK60(X0))
& ssItem(sK59(X0))
& ssItem(sK58(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59,sK60,sK61,sK62])],[f342,f347,f346,f345,f344,f343]) ).
fof(f343,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),X2)
& app(app(X3,cons(sK58(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),X2)
& app(app(X3,cons(sK58(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(X3,cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(X3,cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),X4)),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),X5)) = X0
& ssList(X5) )
& ssList(sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK58(X0),sK59(X0))
& app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0
& ssList(sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(rectify,[],[f341]) ).
fof(f341,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP16(X0) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP16(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2581,plain,
spl71_236,
inference(avatar_split_clause,[],[f625,f2579]) ).
fof(f625,plain,
! [X10,X8,X6,X9,X7] :
( leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f533]) ).
fof(f533,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( sP14(X0)
| ( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0
& ssList(sK57(X0))
& ssList(sK56(X0))
& ssList(sK55(X0))
& ssItem(sK54(X0))
& ssItem(sK53(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57])],[f333,f338,f337,f336,f335,f334]) ).
fof(f334,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),X2)
& app(app(X3,cons(sK53(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),X2)
& app(app(X3,cons(sK53(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(X3,cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(X3,cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),X4)),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),X5)) = X0
& ssList(X5) )
& ssList(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f338,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK53(X0),sK54(X0))
& app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0
& ssList(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f332]) ).
fof(f332,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP14(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2575,plain,
spl71_235,
inference(avatar_split_clause,[],[f572,f2573]) ).
fof(f2573,plain,
( spl71_235
<=> ! [X0,X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_235])]) ).
fof(f572,plain,
! [X0,X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X0) = tl(X1)
& hd(X0) = hd(X1)
& nil != X0
& nil != X1 )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
fof(f2557,plain,
spl71_234,
inference(avatar_split_clause,[],[f633,f2555]) ).
fof(f633,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f584]) ).
fof(f584,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1))
& ssList(sK66(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67])],[f363,f365,f364]) ).
fof(f364,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f365,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f362]) ).
fof(f362,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f2553,plain,
spl71_233,
inference(avatar_split_clause,[],[f630,f2551]) ).
fof(f630,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
& ssList(sK64(X0,X1))
& ssList(sK63(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63,sK64])],[f353,f355,f354]) ).
fof(f354,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK63(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f355,plain,
! [X0,X1] :
( ? [X5] :
( app(sK63(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f352]) ).
fof(f352,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2549,plain,
spl71_232,
inference(avatar_split_clause,[],[f619,f2547]) ).
fof(f619,plain,
! [X8,X6,X7,X5] :
( X5 = X6
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(app(X7,cons(X5,cons(X6,X8)))) ),
inference(equality_resolution,[],[f476]) ).
fof(f476,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( sP4(X0)
| ( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0
& ssList(sK32(X0))
& ssList(sK31(X0))
& ssItem(sK30(X0))
& ssItem(sK29(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32])],[f289,f293,f292,f291,f290]) ).
fof(f290,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK29(X0) != X2
& app(X3,cons(sK29(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK29(X0) != X2
& app(X3,cons(sK29(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK29(X0) != sK30(X0)
& app(X3,cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK29(X0) != sK30(X0)
& app(X3,cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
& ssList(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0] :
( ? [X4] :
( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),X4))) = X0
& ssList(X4) )
=> ( sK29(X0) != sK30(X0)
& app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0
& ssList(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f289,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( sP4(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2506,plain,
spl71_231,
inference(avatar_split_clause,[],[f639,f2504]) ).
fof(f639,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(duplicate_literal_removal,[],[f621]) ).
fof(f621,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f620]) ).
fof(f620,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(X0) ),
inference(equality_resolution,[],[f486]) ).
fof(f486,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( sP6(X0)
| ( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0
& ssList(sK37(X0))
& ssList(sK36(X0))
& ssList(sK35(X0))
& ssItem(sK34(X0))
& ssItem(sK33(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36,sK37])],[f297,f302,f301,f300,f299,f298]) ).
fof(f298,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = X2
& app(app(X3,cons(sK33(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = X2
& app(app(X3,cons(sK33(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(X3,cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(X3,cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),X4)),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),X5)) = X0
& ssList(X5) )
& ssList(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0] :
( ? [X5] :
( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),X5)) = X0
& ssList(X5) )
=> ( sK33(X0) = sK34(X0)
& app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0
& ssList(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(rectify,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP6(X0) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP6(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f2502,plain,
spl71_230,
inference(avatar_split_clause,[],[f602,f2500]) ).
fof(f602,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f2498,plain,
spl71_229,
inference(avatar_split_clause,[],[f593,f2496]) ).
fof(f2496,plain,
( spl71_229
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_229])]) ).
fof(f593,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f2494,plain,
spl71_228,
inference(avatar_split_clause,[],[f592,f2492]) ).
fof(f2492,plain,
( spl71_228
<=> ! [X0,X3,X2,X1] :
( X2 = X3
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_228])]) ).
fof(f592,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f2490,plain,
spl71_227,
inference(avatar_split_clause,[],[f583,f2488]) ).
fof(f583,plain,
! [X0,X1] :
( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f2486,plain,
spl71_226,
inference(avatar_split_clause,[],[f567,f2484]) ).
fof(f567,plain,
! [X0,X1] :
( app(sK63(X0,X1),cons(X1,sK64(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f2482,plain,
spl71_225,
inference(avatar_split_clause,[],[f550,f2480]) ).
fof(f550,plain,
! [X0] :
( sP16(X0)
| app(app(sK60(X0),cons(sK58(X0),sK61(X0))),cons(sK59(X0),sK62(X0))) = X0 ),
inference(cnf_transformation,[],[f348]) ).
fof(f2478,plain,
spl71_224,
inference(avatar_split_clause,[],[f539,f2476]) ).
fof(f539,plain,
! [X0] :
( sP14(X0)
| app(app(sK55(X0),cons(sK53(X0),sK56(X0))),cons(sK54(X0),sK57(X0))) = X0 ),
inference(cnf_transformation,[],[f339]) ).
fof(f2474,plain,
spl71_223,
inference(avatar_split_clause,[],[f527,f2472]) ).
fof(f527,plain,
! [X0] :
( sP12(X0)
| app(app(sK50(X0),cons(sK48(X0),sK51(X0))),cons(sK49(X0),sK52(X0))) = X0 ),
inference(cnf_transformation,[],[f330]) ).
fof(f2468,plain,
spl71_222,
inference(avatar_split_clause,[],[f515,f2466]) ).
fof(f515,plain,
! [X0] :
( sP10(X0)
| app(app(sK45(X0),cons(sK43(X0),sK46(X0))),cons(sK44(X0),sK47(X0))) = X0 ),
inference(cnf_transformation,[],[f321]) ).
fof(f2464,plain,
spl71_221,
inference(avatar_split_clause,[],[f503,f2462]) ).
fof(f503,plain,
! [X0] :
( sP8(X0)
| app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0 ),
inference(cnf_transformation,[],[f312]) ).
fof(f2460,plain,
spl71_220,
inference(avatar_split_clause,[],[f492,f2458]) ).
fof(f492,plain,
! [X0] :
( sP6(X0)
| app(app(sK35(X0),cons(sK33(X0),sK36(X0))),cons(sK34(X0),sK37(X0))) = X0 ),
inference(cnf_transformation,[],[f303]) ).
fof(f2456,plain,
spl71_219,
inference(avatar_split_clause,[],[f432,f2454]) ).
fof(f2454,plain,
( spl71_219
<=> ! [X0,X3,X2,X1] :
( frontsegP(X2,X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_219])]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( frontsegP(X2,X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f2452,plain,
spl71_218,
inference(avatar_split_clause,[],[f431,f2450]) ).
fof(f2450,plain,
( spl71_218
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_218])]) ).
fof(f431,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f2368,plain,
spl71_217,
inference(avatar_split_clause,[],[f594,f2366]) ).
fof(f594,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f2362,plain,
spl71_216,
inference(avatar_split_clause,[],[f591,f2360]) ).
fof(f591,plain,
! [X2,X0,X1] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f2358,plain,
spl71_215,
inference(avatar_split_clause,[],[f450,f2356]) ).
fof(f450,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f2354,plain,
spl71_214,
inference(avatar_split_clause,[],[f428,f2352]) ).
fof(f2352,plain,
( spl71_214
<=> ! [X2,X0,X1] :
( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_214])]) ).
fof(f428,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f2300,plain,
spl71_213,
inference(avatar_split_clause,[],[f640,f2298]) ).
fof(f640,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f613,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f433]) ).
fof(f433,plain,
! [X2,X3,X0,X1] :
( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f2296,plain,
spl71_212,
inference(avatar_split_clause,[],[f598,f2294]) ).
fof(f598,plain,
! [X2,X0,X1] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f2292,plain,
spl71_211,
inference(avatar_split_clause,[],[f597,f2290]) ).
fof(f597,plain,
! [X2,X0,X1] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f2286,plain,
spl71_210,
inference(avatar_split_clause,[],[f571,f2284]) ).
fof(f571,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f2251,plain,
spl71_209,
inference(avatar_split_clause,[],[f601,f2249]) ).
fof(f601,plain,
! [X2,X0,X1] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f2247,plain,
spl71_208,
inference(avatar_split_clause,[],[f600,f2245]) ).
fof(f600,plain,
! [X2,X0,X1] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f2243,plain,
spl71_207,
inference(avatar_split_clause,[],[f599,f2241]) ).
fof(f599,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f2239,plain,
spl71_206,
inference(avatar_split_clause,[],[f481,f2237]) ).
fof(f481,plain,
! [X0] :
( sP4(X0)
| app(sK31(X0),cons(sK29(X0),cons(sK30(X0),sK32(X0)))) = X0 ),
inference(cnf_transformation,[],[f294]) ).
fof(f2235,plain,
spl71_205,
inference(avatar_split_clause,[],[f427,f2233]) ).
fof(f427,plain,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f2231,plain,
spl71_204,
inference(avatar_split_clause,[],[f426,f2229]) ).
fof(f426,plain,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f2227,plain,
spl71_203,
inference(avatar_split_clause,[],[f425,f2225]) ).
fof(f425,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f2223,plain,
spl71_202,
inference(avatar_split_clause,[],[f424,f2221]) ).
fof(f2221,plain,
( spl71_202
<=> ! [X2,X0,X1] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_202])]) ).
fof(f424,plain,
! [X2,X0,X1] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax88) ).
fof(f2219,plain,
spl71_201,
inference(avatar_split_clause,[],[f423,f2217]) ).
fof(f2217,plain,
( spl71_201
<=> ! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_201])]) ).
fof(f423,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f2150,plain,
spl71_200,
inference(avatar_split_clause,[],[f596,f2148]) ).
fof(f596,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f2146,plain,
spl71_199,
inference(avatar_split_clause,[],[f595,f2144]) ).
fof(f595,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f2142,plain,
spl71_198,
inference(avatar_split_clause,[],[f586,f2140]) ).
fof(f586,plain,
! [X0,X1] :
( app(X1,sK68(X0,X1)) = X0
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f368,f369]) ).
fof(f369,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f367]) ).
fof(f367,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f2136,plain,
spl71_197,
inference(avatar_split_clause,[],[f579,f2134]) ).
fof(f579,plain,
! [X0,X1] :
( app(sK65(X0,X1),X1) = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK65(X0,X1),X1) = X0
& ssList(sK65(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f359,f360]) ).
fof(f360,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK65(X0,X1),X1) = X0
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f358]) ).
fof(f358,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f2132,plain,
spl71_196,
inference(avatar_split_clause,[],[f570,f2130]) ).
fof(f570,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f2128,plain,
spl71_195,
inference(avatar_split_clause,[],[f452,f2126]) ).
fof(f452,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f2124,plain,
spl71_194,
inference(avatar_split_clause,[],[f451,f2122]) ).
fof(f451,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f2120,plain,
spl71_193,
inference(avatar_split_clause,[],[f430,f2118]) ).
fof(f430,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f2047,plain,
spl71_192,
inference(avatar_split_clause,[],[f634,f2045]) ).
fof(f634,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f587]) ).
fof(f587,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f2043,plain,
spl71_191,
inference(avatar_split_clause,[],[f632,f2041]) ).
fof(f632,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f580]) ).
fof(f580,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f2039,plain,
spl71_190,
inference(avatar_split_clause,[],[f575,f2037]) ).
fof(f575,plain,
! [X0,X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f2035,plain,
spl71_189,
inference(avatar_split_clause,[],[f574,f2033]) ).
fof(f574,plain,
! [X0,X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f2031,plain,
spl71_188,
inference(avatar_split_clause,[],[f573,f2029]) ).
fof(f573,plain,
! [X0,X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f2027,plain,
spl71_187,
inference(avatar_split_clause,[],[f564,f2025]) ).
fof(f564,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f2021,plain,
spl71_186,
inference(avatar_split_clause,[],[f413,f2019]) ).
fof(f413,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f2017,plain,
spl71_185,
inference(avatar_split_clause,[],[f412,f2015]) ).
fof(f2015,plain,
( spl71_185
<=> ! [X0,X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_185])]) ).
fof(f412,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax87) ).
fof(f2013,plain,
spl71_184,
inference(avatar_split_clause,[],[f410,f2011]) ).
fof(f410,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f1928,plain,
spl71_183,
inference(avatar_split_clause,[],[f589,f1926]) ).
fof(f589,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f371]) ).
fof(f371,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f1922,plain,
spl71_182,
inference(avatar_split_clause,[],[f588,f1920]) ).
fof(f588,plain,
! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1918,plain,
spl71_181,
inference(avatar_split_clause,[],[f466,f1916]) ).
fof(f466,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f1914,plain,
spl71_180,
inference(avatar_split_clause,[],[f463,f1912]) ).
fof(f463,plain,
! [X0] :
( cons(sK25(X0),sK24(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ( cons(sK25(X0),sK24(X0)) = X0
& ssItem(sK25(X0))
& ssList(sK24(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f149,f277,f276]) ).
fof(f276,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK24(X0)) = X0
& ssItem(X2) )
& ssList(sK24(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK24(X0)) = X0
& ssItem(X2) )
=> ( cons(sK25(X0),sK24(X0)) = X0
& ssItem(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f1910,plain,
spl71_179,
inference(avatar_split_clause,[],[f448,f1908]) ).
fof(f1908,plain,
( spl71_179
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_179])]) ).
fof(f448,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f272]) ).
fof(f272,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f271]) ).
fof(f271,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1906,plain,
spl71_178,
inference(avatar_split_clause,[],[f440,f1904]) ).
fof(f440,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f268]) ).
fof(f268,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1822,plain,
spl71_177,
inference(avatar_split_clause,[],[f585,f1820]) ).
fof(f585,plain,
! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f1818,plain,
spl71_176,
inference(avatar_split_clause,[],[f582,f1816]) ).
fof(f582,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f1814,plain,
spl71_175,
inference(avatar_split_clause,[],[f581,f1812]) ).
fof(f581,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f1810,plain,
spl71_174,
inference(avatar_split_clause,[],[f578,f1808]) ).
fof(f578,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f1806,plain,
spl71_173,
inference(avatar_split_clause,[],[f566,f1804]) ).
fof(f566,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f1802,plain,
spl71_172,
inference(avatar_split_clause,[],[f565,f1800]) ).
fof(f565,plain,
! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f1651,plain,
spl71_171,
inference(avatar_split_clause,[],[f618,f1649]) ).
fof(f618,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f473]) ).
fof(f473,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK28(X0),nil) = X0
& ssItem(sK28(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f284,f285]) ).
fof(f285,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK28(X0),nil) = X0
& ssItem(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f283]) ).
fof(f283,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1647,plain,
spl71_170,
inference(avatar_split_clause,[],[f577,f1645]) ).
fof(f1645,plain,
( spl71_170
<=> ! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_170])]) ).
fof(f577,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f1641,plain,
spl71_169,
inference(avatar_split_clause,[],[f563,f1639]) ).
fof(f563,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f1637,plain,
spl71_168,
inference(avatar_split_clause,[],[f562,f1635]) ).
fof(f562,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f1633,plain,
spl71_167,
inference(avatar_split_clause,[],[f472,f1631]) ).
fof(f1631,plain,
( spl71_167
<=> ! [X0] :
( cons(sK28(X0),nil) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_167])]) ).
fof(f472,plain,
! [X0] :
( cons(sK28(X0),nil) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1629,plain,
spl71_166,
inference(avatar_split_clause,[],[f470,f1627]) ).
fof(f470,plain,
! [X0] :
( tl(X0) = sK27(X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ( tl(X0) = sK27(X0)
& ssList(sK27(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f159,f281]) ).
fof(f281,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK27(X0)
& ssList(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f1625,plain,
spl71_165,
inference(avatar_split_clause,[],[f468,f1623]) ).
fof(f468,plain,
! [X0] :
( hd(X0) = sK26(X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( hd(X0) = sK26(X0)
& ssItem(sK26(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f157,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK26(X0)
& ssItem(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f1621,plain,
spl71_164,
inference(avatar_split_clause,[],[f446,f1619]) ).
fof(f446,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f1617,plain,
spl71_163,
inference(avatar_split_clause,[],[f443,f1615]) ).
fof(f1615,plain,
( spl71_163
<=> ! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_163])]) ).
fof(f443,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1613,plain,
spl71_162,
inference(avatar_split_clause,[],[f442,f1611]) ).
fof(f1611,plain,
( spl71_162
<=> ! [X0,X1] :
( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1))
| ~ sP3(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_162])]) ).
fof(f442,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1))
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1609,plain,
spl71_161,
inference(avatar_split_clause,[],[f438,f1607]) ).
fof(f438,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f269]) ).
fof(f1605,plain,
spl71_160,
inference(avatar_split_clause,[],[f435,f1603]) ).
fof(f1603,plain,
( spl71_160
<=> ! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_160])]) ).
fof(f435,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1601,plain,
( spl71_159
| ~ spl71_5
| ~ spl71_30 ),
inference(avatar_split_clause,[],[f817,f782,f666,f1598]) ).
fof(f817,plain,
( sP17(sK23)
| ~ spl71_5
| ~ spl71_30 ),
inference(resolution,[],[f783,f668]) ).
fof(f1596,plain,
spl71_158,
inference(avatar_split_clause,[],[f434,f1594]) ).
fof(f1594,plain,
( spl71_158
<=> ! [X0,X1] :
( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1))
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_158])]) ).
fof(f434,plain,
! [X0,X1] :
( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f266]) ).
fof(f1592,plain,
spl71_157,
inference(avatar_split_clause,[],[f421,f1590]) ).
fof(f421,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f1588,plain,
spl71_156,
inference(avatar_split_clause,[],[f419,f1586]) ).
fof(f419,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( geq(X0,X1)
<=> leq(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f1584,plain,
spl71_155,
inference(avatar_split_clause,[],[f418,f1582]) ).
fof(f1582,plain,
( spl71_155
<=> ! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_155])]) ).
fof(f418,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f1580,plain,
spl71_154,
inference(avatar_split_clause,[],[f417,f1578]) ).
fof(f417,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( gt(X0,X1)
<=> lt(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f1576,plain,
spl71_153,
inference(avatar_split_clause,[],[f416,f1574]) ).
fof(f1574,plain,
( spl71_153
<=> ! [X0,X1] :
( lt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_153])]) ).
fof(f416,plain,
! [X0,X1] :
( lt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f258]) ).
fof(f1572,plain,
spl71_152,
inference(avatar_split_clause,[],[f415,f1570]) ).
fof(f1570,plain,
( spl71_152
<=> ! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_152])]) ).
fof(f415,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1568,plain,
spl71_151,
inference(avatar_split_clause,[],[f411,f1566]) ).
fof(f411,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f1564,plain,
spl71_150,
inference(avatar_split_clause,[],[f409,f1562]) ).
fof(f1562,plain,
( spl71_150
<=> ! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_150])]) ).
fof(f409,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f1560,plain,
( spl71_149
| ~ spl71_2
| ~ spl71_30 ),
inference(avatar_split_clause,[],[f816,f782,f651,f1557]) ).
fof(f816,plain,
( sP17(sK21)
| ~ spl71_2
| ~ spl71_30 ),
inference(resolution,[],[f783,f653]) ).
fof(f1555,plain,
spl71_148,
inference(avatar_split_clause,[],[f641,f1553]) ).
fof(f641,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f612]) ).
fof(f612,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f1551,plain,
spl71_147,
inference(avatar_split_clause,[],[f561,f1549]) ).
fof(f561,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f1547,plain,
spl71_146,
inference(avatar_split_clause,[],[f560,f1545]) ).
fof(f1545,plain,
( spl71_146
<=> ! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_146])]) ).
fof(f560,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f1511,plain,
( spl71_145
| ~ spl71_1
| ~ spl71_30 ),
inference(avatar_split_clause,[],[f815,f782,f646,f1508]) ).
fof(f815,plain,
( sP17(sK20)
| ~ spl71_1
| ~ spl71_30 ),
inference(resolution,[],[f783,f648]) ).
fof(f1477,plain,
spl71_144,
inference(avatar_split_clause,[],[f569,f1475]) ).
fof(f569,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f1473,plain,
spl71_143,
inference(avatar_split_clause,[],[f559,f1471]) ).
fof(f559,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f1469,plain,
( spl71_142
| ~ spl71_5
| ~ spl71_29 ),
inference(avatar_split_clause,[],[f813,f778,f666,f1466]) ).
fof(f813,plain,
( sP15(sK23)
| ~ spl71_5
| ~ spl71_29 ),
inference(resolution,[],[f779,f668]) ).
fof(f1464,plain,
spl71_141,
inference(avatar_split_clause,[],[f557,f1462]) ).
fof(f1462,plain,
( spl71_141
<=> ! [X0] :
( nil = X0
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_141])]) ).
fof(f557,plain,
! [X0] :
( nil = X0
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f1460,plain,
spl71_140,
inference(avatar_split_clause,[],[f555,f1458]) ).
fof(f1458,plain,
( spl71_140
<=> ! [X0] :
( nil = X0
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_140])]) ).
fof(f555,plain,
! [X0] :
( nil = X0
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f1456,plain,
spl71_139,
inference(avatar_split_clause,[],[f553,f1454]) ).
fof(f1454,plain,
( spl71_139
<=> ! [X0] :
( nil = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_139])]) ).
fof(f553,plain,
! [X0] :
( nil = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f1452,plain,
spl71_138,
inference(avatar_split_clause,[],[f469,f1450]) ).
fof(f469,plain,
! [X0] :
( ssList(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f1448,plain,
spl71_137,
inference(avatar_split_clause,[],[f467,f1446]) ).
fof(f1446,plain,
( spl71_137
<=> ! [X0] :
( ssItem(sK26(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_137])]) ).
fof(f467,plain,
! [X0] :
( ssItem(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1444,plain,
spl71_136,
inference(avatar_split_clause,[],[f465,f1442]) ).
fof(f465,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f1440,plain,
spl71_135,
inference(avatar_split_clause,[],[f464,f1438]) ).
fof(f1438,plain,
( spl71_135
<=> ! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_135])]) ).
fof(f464,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f1436,plain,
spl71_134,
inference(avatar_split_clause,[],[f462,f1434]) ).
fof(f462,plain,
! [X0] :
( ssItem(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f1432,plain,
spl71_133,
inference(avatar_split_clause,[],[f461,f1430]) ).
fof(f461,plain,
! [X0] :
( ssList(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f1428,plain,
spl71_132,
inference(avatar_split_clause,[],[f445,f1426]) ).
fof(f1426,plain,
( spl71_132
<=> ! [X0,X1] :
( strictorderedP(X0)
| nil = X0
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_132])]) ).
fof(f445,plain,
! [X0,X1] :
( strictorderedP(X0)
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f1424,plain,
( spl71_131
| ~ spl71_2
| ~ spl71_29 ),
inference(avatar_split_clause,[],[f812,f778,f651,f1421]) ).
fof(f812,plain,
( sP15(sK21)
| ~ spl71_2
| ~ spl71_29 ),
inference(resolution,[],[f779,f653]) ).
fof(f1419,plain,
spl71_130,
inference(avatar_split_clause,[],[f437,f1417]) ).
fof(f1417,plain,
( spl71_130
<=> ! [X0,X1] :
( totalorderedP(X0)
| nil = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_130])]) ).
fof(f437,plain,
! [X0,X1] :
( totalorderedP(X0)
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f269]) ).
fof(f1415,plain,
( spl71_129
| ~ spl71_1
| ~ spl71_29 ),
inference(avatar_split_clause,[],[f811,f778,f646,f1412]) ).
fof(f811,plain,
( sP15(sK20)
| ~ spl71_1
| ~ spl71_29 ),
inference(resolution,[],[f779,f648]) ).
fof(f1362,plain,
spl71_128,
inference(avatar_split_clause,[],[f551,f1360]) ).
fof(f1360,plain,
( spl71_128
<=> ! [X0] :
( sP16(X0)
| ~ lt(sK58(X0),sK59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_128])]) ).
fof(f551,plain,
! [X0] :
( sP16(X0)
| ~ lt(sK58(X0),sK59(X0)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1358,plain,
spl71_127,
inference(avatar_split_clause,[],[f540,f1356]) ).
fof(f1356,plain,
( spl71_127
<=> ! [X0] :
( sP14(X0)
| ~ leq(sK53(X0),sK54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_127])]) ).
fof(f540,plain,
! [X0] :
( sP14(X0)
| ~ leq(sK53(X0),sK54(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f1354,plain,
spl71_126,
inference(avatar_split_clause,[],[f529,f1352]) ).
fof(f529,plain,
! [X0] :
( sP12(X0)
| leq(sK49(X0),sK48(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f1350,plain,
spl71_125,
inference(avatar_split_clause,[],[f528,f1348]) ).
fof(f528,plain,
! [X0] :
( sP12(X0)
| leq(sK48(X0),sK49(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f1346,plain,
( spl71_124
| ~ spl71_5
| ~ spl71_28 ),
inference(avatar_split_clause,[],[f809,f774,f666,f1343]) ).
fof(f809,plain,
( sP13(sK23)
| ~ spl71_5
| ~ spl71_28 ),
inference(resolution,[],[f775,f668]) ).
fof(f1341,plain,
spl71_123,
inference(avatar_split_clause,[],[f517,f1339]) ).
fof(f1339,plain,
( spl71_123
<=> ! [X0] :
( sP10(X0)
| ~ lt(sK44(X0),sK43(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_123])]) ).
fof(f517,plain,
! [X0] :
( sP10(X0)
| ~ lt(sK44(X0),sK43(X0)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f1337,plain,
spl71_122,
inference(avatar_split_clause,[],[f516,f1335]) ).
fof(f1335,plain,
( spl71_122
<=> ! [X0] :
( sP10(X0)
| ~ lt(sK43(X0),sK44(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_122])]) ).
fof(f516,plain,
! [X0] :
( sP10(X0)
| ~ lt(sK43(X0),sK44(X0)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f1333,plain,
spl71_121,
inference(avatar_split_clause,[],[f505,f1331]) ).
fof(f1331,plain,
( spl71_121
<=> ! [X0] :
( sP8(X0)
| ~ leq(sK39(X0),sK38(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_121])]) ).
fof(f505,plain,
! [X0] :
( sP8(X0)
| ~ leq(sK39(X0),sK38(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f1329,plain,
spl71_120,
inference(avatar_split_clause,[],[f504,f1327]) ).
fof(f1327,plain,
( spl71_120
<=> ! [X0] :
( sP8(X0)
| ~ leq(sK38(X0),sK39(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_120])]) ).
fof(f504,plain,
! [X0] :
( sP8(X0)
| ~ leq(sK38(X0),sK39(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f1325,plain,
spl71_119,
inference(avatar_split_clause,[],[f493,f1323]) ).
fof(f493,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = sK34(X0) ),
inference(cnf_transformation,[],[f303]) ).
fof(f1321,plain,
spl71_118,
inference(avatar_split_clause,[],[f482,f1319]) ).
fof(f1319,plain,
( spl71_118
<=> ! [X0] :
( sP4(X0)
| sK29(X0) != sK30(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_118])]) ).
fof(f482,plain,
! [X0] :
( sP4(X0)
| sK29(X0) != sK30(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f1317,plain,
spl71_117,
inference(avatar_split_clause,[],[f471,f1315]) ).
fof(f1315,plain,
( spl71_117
<=> ! [X0] :
( ssItem(sK28(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_117])]) ).
fof(f471,plain,
! [X0] :
( ssItem(sK28(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1313,plain,
spl71_116,
inference(avatar_split_clause,[],[f460,f1311]) ).
fof(f460,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f1309,plain,
spl71_115,
inference(avatar_split_clause,[],[f459,f1307]) ).
fof(f459,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f1305,plain,
spl71_114,
inference(avatar_split_clause,[],[f449,f1303]) ).
fof(f1303,plain,
( spl71_114
<=> ! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_114])]) ).
fof(f449,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f227,f226]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f1301,plain,
( spl71_113
| ~ spl71_2
| ~ spl71_28 ),
inference(avatar_split_clause,[],[f808,f774,f651,f1298]) ).
fof(f808,plain,
( sP13(sK21)
| ~ spl71_2
| ~ spl71_28 ),
inference(resolution,[],[f775,f653]) ).
fof(f1296,plain,
spl71_112,
inference(avatar_split_clause,[],[f441,f1294]) ).
fof(f1294,plain,
( spl71_112
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_112])]) ).
fof(f441,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f137,f224,f223]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f1292,plain,
( spl71_111
| ~ spl71_1
| ~ spl71_28 ),
inference(avatar_split_clause,[],[f807,f774,f646,f1289]) ).
fof(f807,plain,
( sP13(sK20)
| ~ spl71_1
| ~ spl71_28 ),
inference(resolution,[],[f775,f648]) ).
fof(f1285,plain,
spl71_110,
inference(avatar_split_clause,[],[f543,f1283]) ).
fof(f543,plain,
! [X0] :
( strictorderedP(X0)
| ~ sP16(X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP16(X0) )
& ( sP16(X0)
| ~ strictorderedP(X0) ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP16(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1281,plain,
spl71_109,
inference(avatar_split_clause,[],[f542,f1279]) ).
fof(f542,plain,
! [X0] :
( sP16(X0)
| ~ strictorderedP(X0)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1277,plain,
spl71_108,
inference(avatar_split_clause,[],[f532,f1275]) ).
fof(f532,plain,
! [X0] :
( totalorderedP(X0)
| ~ sP14(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ totalorderedP(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f1273,plain,
spl71_107,
inference(avatar_split_clause,[],[f531,f1271]) ).
fof(f531,plain,
! [X0] :
( sP14(X0)
| ~ totalorderedP(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f331]) ).
fof(f1269,plain,
spl71_106,
inference(avatar_split_clause,[],[f520,f1267]) ).
fof(f520,plain,
! [X0] :
( cyclefreeP(X0)
| ~ sP12(X0)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f1265,plain,
spl71_105,
inference(avatar_split_clause,[],[f519,f1263]) ).
fof(f519,plain,
! [X0] :
( sP12(X0)
| ~ cyclefreeP(X0)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1261,plain,
spl71_104,
inference(avatar_split_clause,[],[f508,f1259]) ).
fof(f508,plain,
! [X0] :
( strictorderP(X0)
| ~ sP10(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f313,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP10(X0) )
& ( sP10(X0)
| ~ strictorderP(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP10(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1257,plain,
spl71_103,
inference(avatar_split_clause,[],[f507,f1255]) ).
fof(f507,plain,
! [X0] :
( sP10(X0)
| ~ strictorderP(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f1253,plain,
( spl71_102
| ~ spl71_5
| ~ spl71_27 ),
inference(avatar_split_clause,[],[f800,f770,f666,f1250]) ).
fof(f800,plain,
( sP11(sK23)
| ~ spl71_5
| ~ spl71_27 ),
inference(resolution,[],[f771,f668]) ).
fof(f1248,plain,
spl71_101,
inference(avatar_split_clause,[],[f496,f1246]) ).
fof(f496,plain,
! [X0] :
( totalorderP(X0)
| ~ sP8(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP8(X0) )
& ( sP8(X0)
| ~ totalorderP(X0) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP8(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1244,plain,
spl71_100,
inference(avatar_split_clause,[],[f495,f1242]) ).
fof(f495,plain,
! [X0] :
( sP8(X0)
| ~ totalorderP(X0)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f1240,plain,
spl71_99,
inference(avatar_split_clause,[],[f485,f1238]) ).
fof(f485,plain,
! [X0] :
( duplicatefreeP(X0)
| ~ sP6(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP6(X0) )
& ( sP6(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP6(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1236,plain,
spl71_98,
inference(avatar_split_clause,[],[f484,f1234]) ).
fof(f484,plain,
! [X0] :
( sP6(X0)
| ~ duplicatefreeP(X0)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f1232,plain,
spl71_97,
inference(avatar_split_clause,[],[f475,f1230]) ).
fof(f475,plain,
! [X0] :
( equalelemsP(X0)
| ~ sP4(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ equalelemsP(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP4(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1228,plain,
spl71_96,
inference(avatar_split_clause,[],[f474,f1226]) ).
fof(f474,plain,
! [X0] :
( sP4(X0)
| ~ equalelemsP(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f1224,plain,
spl71_95,
inference(avatar_split_clause,[],[f408,f1222]) ).
fof(f1222,plain,
( spl71_95
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_95])]) ).
fof(f408,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f1220,plain,
spl71_94,
inference(avatar_split_clause,[],[f407,f1218]) ).
fof(f1218,plain,
( spl71_94
<=> ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_94])]) ).
fof(f407,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f1216,plain,
spl71_93,
inference(avatar_split_clause,[],[f406,f1214]) ).
fof(f1214,plain,
( spl71_93
<=> ! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_93])]) ).
fof(f406,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
fof(f1212,plain,
spl71_92,
inference(avatar_split_clause,[],[f405,f1210]) ).
fof(f1210,plain,
( spl71_92
<=> ! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_92])]) ).
fof(f405,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f1208,plain,
( spl71_91
| ~ spl71_2
| ~ spl71_27 ),
inference(avatar_split_clause,[],[f799,f770,f651,f1205]) ).
fof(f799,plain,
( sP11(sK21)
| ~ spl71_2
| ~ spl71_27 ),
inference(resolution,[],[f771,f653]) ).
fof(f1203,plain,
spl71_90,
inference(avatar_split_clause,[],[f404,f1201]) ).
fof(f1201,plain,
( spl71_90
<=> ! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_90])]) ).
fof(f404,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f1199,plain,
spl71_89,
inference(avatar_split_clause,[],[f403,f1197]) ).
fof(f1197,plain,
( spl71_89
<=> ! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_89])]) ).
fof(f403,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f1195,plain,
spl71_88,
inference(avatar_split_clause,[],[f402,f1193]) ).
fof(f1193,plain,
( spl71_88
<=> ! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_88])]) ).
fof(f402,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f1190,plain,
spl71_87,
inference(avatar_split_clause,[],[f606,f1188]) ).
fof(f606,plain,
! [X8,X6,X7] :
( app(app(X8,cons(X6,nil)),X7) != sK20
| app(app(X7,cons(X6,nil)),X8) != sK21
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f383,f381,f380]) ).
fof(f380,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( ~ neq(sK21,nil)
| ( sK20 = app(sK23,cons(sK22,nil))
& sK21 = app(cons(sK22,nil),sK23)
& ssList(sK23)
& ssItem(sK22) ) )
& ( nil != sK21
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != sK19
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22,sK23])],[f99,f255,f254,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != X0
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != sK19
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != sK19
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK19,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK20
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != sK19
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK20
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != sK19
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ~ neq(sK21,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK20
& app(cons(X4,nil),X5) = sK21
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != sK21
| nil = sK20 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != sK19
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(sK19,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK20
& app(cons(X4,nil),X5) = sK21
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( sK20 = app(X5,cons(sK22,nil))
& sK21 = app(cons(sK22,nil),X5)
& ssList(X5) )
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X5] :
( sK20 = app(X5,cons(sK22,nil))
& sK21 = app(cons(sK22,nil),X5)
& ssList(X5) )
=> ( sK20 = app(sK23,cons(sK22,nil))
& sK21 = app(cons(sK22,nil),sK23)
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X2
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(app(X8,cons(X6,nil)),X7) != X0
| app(app(X7,cons(X6,nil)),X8) != X1
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( app(X5,cons(X4,nil)) != X2
| app(cons(X4,nil),X5) != X3
| ~ ssList(X5) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(X8,cons(X6,nil)),X7) = X0
& app(app(X7,cons(X6,nil)),X8) = X1
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ! [X7] :
( ssItem(X7)
=> ! [X8] :
( app(X8,cons(X7,nil)) != X2
| app(cons(X7,nil),X8) != X3
| ~ ssList(X8) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ! [X7] :
( ssItem(X7)
=> ! [X8] :
( app(X8,cons(X7,nil)) != X2
| app(cons(X7,nil),X8) != X3
| ~ ssList(X8) ) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f381,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f256]) ).
fof(f383,plain,
! [X8,X6,X7] :
( app(app(X8,cons(X6,nil)),X7) != sK18
| app(app(X7,cons(X6,nil)),X8) != sK19
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f256]) ).
fof(f1165,plain,
( spl71_86
| ~ spl71_1
| ~ spl71_27 ),
inference(avatar_split_clause,[],[f798,f770,f646,f1162]) ).
fof(f798,plain,
( sP11(sK20)
| ~ spl71_1
| ~ spl71_27 ),
inference(resolution,[],[f771,f648]) ).
fof(f1118,plain,
( spl71_85
| ~ spl71_5
| ~ spl71_26 ),
inference(avatar_split_clause,[],[f796,f766,f666,f1115]) ).
fof(f796,plain,
( sP9(sK23)
| ~ spl71_5
| ~ spl71_26 ),
inference(resolution,[],[f767,f668]) ).
fof(f1071,plain,
( spl71_84
| ~ spl71_2
| ~ spl71_26 ),
inference(avatar_split_clause,[],[f795,f766,f651,f1068]) ).
fof(f795,plain,
( sP9(sK21)
| ~ spl71_2
| ~ spl71_26 ),
inference(resolution,[],[f767,f653]) ).
fof(f1031,plain,
( spl71_83
| ~ spl71_1
| ~ spl71_26 ),
inference(avatar_split_clause,[],[f794,f766,f646,f1028]) ).
fof(f794,plain,
( sP9(sK20)
| ~ spl71_1
| ~ spl71_26 ),
inference(resolution,[],[f767,f648]) ).
fof(f1026,plain,
( spl71_82
| ~ spl71_5
| ~ spl71_25 ),
inference(avatar_split_clause,[],[f792,f762,f666,f1023]) ).
fof(f792,plain,
( sP7(sK23)
| ~ spl71_5
| ~ spl71_25 ),
inference(resolution,[],[f763,f668]) ).
fof(f1021,plain,
spl71_81,
inference(avatar_split_clause,[],[f643,f1019]) ).
fof(f1019,plain,
( spl71_81
<=> ! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_81])]) ).
fof(f643,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f610]) ).
fof(f610,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f414]) ).
fof(f414,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f1017,plain,
spl71_80,
inference(avatar_split_clause,[],[f638,f1015]) ).
fof(f1015,plain,
( spl71_80
<=> ! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_80])]) ).
fof(f638,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f631,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f576]) ).
fof(f576,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f1013,plain,
spl71_79,
inference(avatar_split_clause,[],[f549,f1011]) ).
fof(f549,plain,
! [X0] :
( sP16(X0)
| ssList(sK62(X0)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1009,plain,
spl71_78,
inference(avatar_split_clause,[],[f548,f1007]) ).
fof(f548,plain,
! [X0] :
( sP16(X0)
| ssList(sK61(X0)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1005,plain,
spl71_77,
inference(avatar_split_clause,[],[f547,f1003]) ).
fof(f547,plain,
! [X0] :
( sP16(X0)
| ssList(sK60(X0)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1001,plain,
spl71_76,
inference(avatar_split_clause,[],[f546,f999]) ).
fof(f546,plain,
! [X0] :
( sP16(X0)
| ssItem(sK59(X0)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f997,plain,
spl71_75,
inference(avatar_split_clause,[],[f545,f995]) ).
fof(f545,plain,
! [X0] :
( sP16(X0)
| ssItem(sK58(X0)) ),
inference(cnf_transformation,[],[f348]) ).
fof(f993,plain,
spl71_74,
inference(avatar_split_clause,[],[f538,f991]) ).
fof(f538,plain,
! [X0] :
( sP14(X0)
| ssList(sK57(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f989,plain,
spl71_73,
inference(avatar_split_clause,[],[f537,f987]) ).
fof(f537,plain,
! [X0] :
( sP14(X0)
| ssList(sK56(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f985,plain,
( spl71_72
| ~ spl71_2
| ~ spl71_25 ),
inference(avatar_split_clause,[],[f791,f762,f651,f982]) ).
fof(f791,plain,
( sP7(sK21)
| ~ spl71_2
| ~ spl71_25 ),
inference(resolution,[],[f763,f653]) ).
fof(f980,plain,
spl71_71,
inference(avatar_split_clause,[],[f536,f978]) ).
fof(f536,plain,
! [X0] :
( sP14(X0)
| ssList(sK55(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f976,plain,
spl71_70,
inference(avatar_split_clause,[],[f535,f974]) ).
fof(f535,plain,
! [X0] :
( sP14(X0)
| ssItem(sK54(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f972,plain,
spl71_69,
inference(avatar_split_clause,[],[f534,f970]) ).
fof(f534,plain,
! [X0] :
( sP14(X0)
| ssItem(sK53(X0)) ),
inference(cnf_transformation,[],[f339]) ).
fof(f968,plain,
spl71_68,
inference(avatar_split_clause,[],[f526,f966]) ).
fof(f526,plain,
! [X0] :
( sP12(X0)
| ssList(sK52(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f964,plain,
spl71_67,
inference(avatar_split_clause,[],[f525,f962]) ).
fof(f525,plain,
! [X0] :
( sP12(X0)
| ssList(sK51(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f960,plain,
spl71_66,
inference(avatar_split_clause,[],[f524,f958]) ).
fof(f524,plain,
! [X0] :
( sP12(X0)
| ssList(sK50(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f956,plain,
spl71_65,
inference(avatar_split_clause,[],[f523,f954]) ).
fof(f523,plain,
! [X0] :
( sP12(X0)
| ssItem(sK49(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f952,plain,
spl71_64,
inference(avatar_split_clause,[],[f522,f950]) ).
fof(f522,plain,
! [X0] :
( sP12(X0)
| ssItem(sK48(X0)) ),
inference(cnf_transformation,[],[f330]) ).
fof(f948,plain,
spl71_63,
inference(avatar_split_clause,[],[f514,f946]) ).
fof(f514,plain,
! [X0] :
( sP10(X0)
| ssList(sK47(X0)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f944,plain,
spl71_62,
inference(avatar_split_clause,[],[f513,f942]) ).
fof(f513,plain,
! [X0] :
( sP10(X0)
| ssList(sK46(X0)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f940,plain,
( spl71_61
| ~ spl71_1
| ~ spl71_25 ),
inference(avatar_split_clause,[],[f790,f762,f646,f937]) ).
fof(f790,plain,
( sP7(sK20)
| ~ spl71_1
| ~ spl71_25 ),
inference(resolution,[],[f763,f648]) ).
fof(f935,plain,
spl71_60,
inference(avatar_split_clause,[],[f512,f933]) ).
fof(f512,plain,
! [X0] :
( sP10(X0)
| ssList(sK45(X0)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f931,plain,
spl71_59,
inference(avatar_split_clause,[],[f511,f929]) ).
fof(f511,plain,
! [X0] :
( sP10(X0)
| ssItem(sK44(X0)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f927,plain,
spl71_58,
inference(avatar_split_clause,[],[f510,f925]) ).
fof(f510,plain,
! [X0] :
( sP10(X0)
| ssItem(sK43(X0)) ),
inference(cnf_transformation,[],[f321]) ).
fof(f923,plain,
spl71_57,
inference(avatar_split_clause,[],[f502,f921]) ).
fof(f502,plain,
! [X0] :
( sP8(X0)
| ssList(sK42(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f919,plain,
spl71_56,
inference(avatar_split_clause,[],[f501,f917]) ).
fof(f501,plain,
! [X0] :
( sP8(X0)
| ssList(sK41(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f915,plain,
spl71_55,
inference(avatar_split_clause,[],[f500,f913]) ).
fof(f500,plain,
! [X0] :
( sP8(X0)
| ssList(sK40(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f911,plain,
spl71_54,
inference(avatar_split_clause,[],[f499,f909]) ).
fof(f499,plain,
! [X0] :
( sP8(X0)
| ssItem(sK39(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f907,plain,
spl71_53,
inference(avatar_split_clause,[],[f498,f905]) ).
fof(f498,plain,
! [X0] :
( sP8(X0)
| ssItem(sK38(X0)) ),
inference(cnf_transformation,[],[f312]) ).
fof(f903,plain,
spl71_52,
inference(avatar_split_clause,[],[f491,f901]) ).
fof(f491,plain,
! [X0] :
( sP6(X0)
| ssList(sK37(X0)) ),
inference(cnf_transformation,[],[f303]) ).
fof(f899,plain,
spl71_51,
inference(avatar_split_clause,[],[f490,f897]) ).
fof(f490,plain,
! [X0] :
( sP6(X0)
| ssList(sK36(X0)) ),
inference(cnf_transformation,[],[f303]) ).
fof(f895,plain,
( spl71_50
| ~ spl71_5
| ~ spl71_24 ),
inference(avatar_split_clause,[],[f788,f758,f666,f892]) ).
fof(f788,plain,
( sP5(sK23)
| ~ spl71_5
| ~ spl71_24 ),
inference(resolution,[],[f759,f668]) ).
fof(f890,plain,
spl71_49,
inference(avatar_split_clause,[],[f489,f888]) ).
fof(f489,plain,
! [X0] :
( sP6(X0)
| ssList(sK35(X0)) ),
inference(cnf_transformation,[],[f303]) ).
fof(f886,plain,
spl71_48,
inference(avatar_split_clause,[],[f488,f884]) ).
fof(f488,plain,
! [X0] :
( sP6(X0)
| ssItem(sK34(X0)) ),
inference(cnf_transformation,[],[f303]) ).
fof(f882,plain,
spl71_47,
inference(avatar_split_clause,[],[f487,f880]) ).
fof(f487,plain,
! [X0] :
( sP6(X0)
| ssItem(sK33(X0)) ),
inference(cnf_transformation,[],[f303]) ).
fof(f878,plain,
spl71_46,
inference(avatar_split_clause,[],[f480,f876]) ).
fof(f480,plain,
! [X0] :
( sP4(X0)
| ssList(sK32(X0)) ),
inference(cnf_transformation,[],[f294]) ).
fof(f874,plain,
spl71_45,
inference(avatar_split_clause,[],[f479,f872]) ).
fof(f479,plain,
! [X0] :
( sP4(X0)
| ssList(sK31(X0)) ),
inference(cnf_transformation,[],[f294]) ).
fof(f870,plain,
spl71_44,
inference(avatar_split_clause,[],[f478,f868]) ).
fof(f478,plain,
! [X0] :
( sP4(X0)
| ssItem(sK30(X0)) ),
inference(cnf_transformation,[],[f294]) ).
fof(f866,plain,
spl71_43,
inference(avatar_split_clause,[],[f477,f864]) ).
fof(f477,plain,
! [X0] :
( sP4(X0)
| ssItem(sK29(X0)) ),
inference(cnf_transformation,[],[f294]) ).
fof(f862,plain,
spl71_42,
inference(avatar_split_clause,[],[f458,f860]) ).
fof(f458,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f858,plain,
spl71_41,
inference(avatar_split_clause,[],[f457,f856]) ).
fof(f457,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f854,plain,
spl71_40,
inference(avatar_split_clause,[],[f456,f852]) ).
fof(f456,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f850,plain,
( spl71_39
| ~ spl71_2
| ~ spl71_24 ),
inference(avatar_split_clause,[],[f787,f758,f651,f847]) ).
fof(f787,plain,
( sP5(sK21)
| ~ spl71_2
| ~ spl71_24 ),
inference(resolution,[],[f759,f653]) ).
fof(f845,plain,
spl71_38,
inference(avatar_split_clause,[],[f455,f843]) ).
fof(f455,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f841,plain,
spl71_37,
inference(avatar_split_clause,[],[f454,f839]) ).
fof(f454,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f837,plain,
spl71_36,
inference(avatar_split_clause,[],[f453,f835]) ).
fof(f453,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f833,plain,
spl71_35,
inference(avatar_split_clause,[],[f401,f831]) ).
fof(f401,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f829,plain,
spl71_34,
inference(avatar_split_clause,[],[f400,f827]) ).
fof(f827,plain,
( spl71_34
<=> ! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_34])]) ).
fof(f400,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
fof(f825,plain,
spl71_33,
inference(avatar_split_clause,[],[f399,f823]) ).
fof(f399,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f821,plain,
spl71_32,
inference(avatar_split_clause,[],[f398,f819]) ).
fof(f819,plain,
( spl71_32
<=> ! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_32])]) ).
fof(f398,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f805,plain,
( spl71_31
| ~ spl71_1
| ~ spl71_24 ),
inference(avatar_split_clause,[],[f786,f758,f646,f802]) ).
fof(f786,plain,
( sP5(sK20)
| ~ spl71_1
| ~ spl71_24 ),
inference(resolution,[],[f759,f648]) ).
fof(f784,plain,
spl71_30,
inference(avatar_split_clause,[],[f552,f782]) ).
fof(f552,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f174,f248,f247]) ).
fof(f174,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f780,plain,
spl71_29,
inference(avatar_split_clause,[],[f541,f778]) ).
fof(f541,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f172,f245,f244]) ).
fof(f172,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f776,plain,
spl71_28,
inference(avatar_split_clause,[],[f530,f774]) ).
fof(f530,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f170,f242,f241]) ).
fof(f170,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f772,plain,
spl71_27,
inference(avatar_split_clause,[],[f518,f770]) ).
fof(f518,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f168,f239,f238]) ).
fof(f168,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f768,plain,
spl71_26,
inference(avatar_split_clause,[],[f506,f766]) ).
fof(f506,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f166,f236,f235]) ).
fof(f166,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f764,plain,
spl71_25,
inference(avatar_split_clause,[],[f494,f762]) ).
fof(f494,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f164,f233,f232]) ).
fof(f164,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f760,plain,
spl71_24,
inference(avatar_split_clause,[],[f483,f758]) ).
fof(f483,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f162,f230,f229]) ).
fof(f162,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f756,plain,
spl71_23,
inference(avatar_split_clause,[],[f616,f754]) ).
fof(f754,plain,
( spl71_23
<=> ! [X1] : sP2(nil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_23])]) ).
fof(f616,plain,
! [X1] : sP2(nil,X1),
inference(equality_resolution,[],[f447]) ).
fof(f447,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f273]) ).
fof(f752,plain,
spl71_22,
inference(avatar_split_clause,[],[f614,f750]) ).
fof(f750,plain,
( spl71_22
<=> ! [X1] : sP0(nil,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_22])]) ).
fof(f614,plain,
! [X1] : sP0(nil,X1),
inference(equality_resolution,[],[f439]) ).
fof(f439,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f269]) ).
fof(f748,plain,
~ spl71_21,
inference(avatar_split_clause,[],[f605,f745]) ).
fof(f745,plain,
( spl71_21
<=> sK69 = sK70 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_21])]) ).
fof(f605,plain,
sK69 != sK70,
inference(cnf_transformation,[],[f375]) ).
fof(f375,plain,
( sK69 != sK70
& ssItem(sK70)
& ssItem(sK69) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69,sK70])],[f2,f374,f373]) ).
fof(f373,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK69 != X1
& ssItem(X1) )
& ssItem(sK69) ) ),
introduced(choice_axiom,[]) ).
fof(f374,plain,
( ? [X1] :
( sK69 != X1
& ssItem(X1) )
=> ( sK69 != sK70
& ssItem(sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f743,plain,
( spl71_20
| ~ spl71_3 ),
inference(avatar_split_clause,[],[f388,f656,f740]) ).
fof(f388,plain,
( ~ neq(sK21,nil)
| sK20 = app(sK23,cons(sK22,nil)) ),
inference(cnf_transformation,[],[f256]) ).
fof(f738,plain,
( spl71_19
| ~ spl71_3 ),
inference(avatar_split_clause,[],[f387,f656,f735]) ).
fof(f387,plain,
( ~ neq(sK21,nil)
| sK21 = app(cons(sK22,nil),sK23) ),
inference(cnf_transformation,[],[f256]) ).
fof(f733,plain,
spl71_18,
inference(avatar_split_clause,[],[f604,f730]) ).
fof(f604,plain,
ssItem(sK70),
inference(cnf_transformation,[],[f375]) ).
fof(f728,plain,
spl71_17,
inference(avatar_split_clause,[],[f603,f725]) ).
fof(f603,plain,
ssItem(sK69),
inference(cnf_transformation,[],[f375]) ).
fof(f723,plain,
spl71_16,
inference(avatar_split_clause,[],[f397,f720]) ).
fof(f397,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f718,plain,
spl71_15,
inference(avatar_split_clause,[],[f396,f715]) ).
fof(f396,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f713,plain,
spl71_14,
inference(avatar_split_clause,[],[f395,f710]) ).
fof(f395,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f708,plain,
spl71_13,
inference(avatar_split_clause,[],[f394,f705]) ).
fof(f394,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f703,plain,
spl71_12,
inference(avatar_split_clause,[],[f393,f700]) ).
fof(f393,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f698,plain,
spl71_11,
inference(avatar_split_clause,[],[f392,f695]) ).
fof(f392,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f693,plain,
spl71_10,
inference(avatar_split_clause,[],[f391,f690]) ).
fof(f391,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f688,plain,
spl71_9,
inference(avatar_split_clause,[],[f390,f685]) ).
fof(f390,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f683,plain,
~ spl71_8,
inference(avatar_split_clause,[],[f389,f680]) ).
fof(f389,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f678,plain,
( spl71_6
| ~ spl71_7 ),
inference(avatar_split_clause,[],[f644,f675,f671]) ).
fof(f644,plain,
( nil != sK21
| sK20 = sK21 ),
inference(inner_rewriting,[],[f384]) ).
fof(f384,plain,
( nil != sK21
| nil = sK20 ),
inference(cnf_transformation,[],[f256]) ).
fof(f669,plain,
( spl71_5
| ~ spl71_3 ),
inference(avatar_split_clause,[],[f386,f656,f666]) ).
fof(f386,plain,
( ~ neq(sK21,nil)
| ssList(sK23) ),
inference(cnf_transformation,[],[f256]) ).
fof(f664,plain,
( spl71_4
| ~ spl71_3 ),
inference(avatar_split_clause,[],[f385,f656,f661]) ).
fof(f385,plain,
( ~ neq(sK21,nil)
| ssItem(sK22) ),
inference(cnf_transformation,[],[f256]) ).
fof(f659,plain,
spl71_3,
inference(avatar_split_clause,[],[f607,f656]) ).
fof(f607,plain,
neq(sK21,nil),
inference(definition_unfolding,[],[f382,f380]) ).
fof(f382,plain,
neq(sK19,nil),
inference(cnf_transformation,[],[f256]) ).
fof(f654,plain,
spl71_2,
inference(avatar_split_clause,[],[f379,f651]) ).
fof(f379,plain,
ssList(sK21),
inference(cnf_transformation,[],[f256]) ).
fof(f649,plain,
spl71_1,
inference(avatar_split_clause,[],[f378,f646]) ).
fof(f378,plain,
ssList(sK20),
inference(cnf_transformation,[],[f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC419+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 20:23:53 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (16966)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (16969)WARNING: value z3 for option sas not known
% 0.11/0.35 % (16973)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)
% 0.11/0.35 % (16968)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (16970)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (16974)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)
% 0.11/0.35 % (16969)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)
% 0.11/0.35 % (16972)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)
% 0.11/0.35 % (16967)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.36 TRYING [1]
% 0.11/0.37 TRYING [2]
% 0.11/0.37 TRYING [1]
% 0.11/0.37 TRYING [2]
% 0.11/0.38 TRYING [3]
% 0.11/0.39 TRYING [3]
% 0.17/0.42 TRYING [4]
% 0.17/0.43 TRYING [4]
% 1.34/0.52 TRYING [5]
% 1.49/0.56 TRYING [5]
% 2.56/0.75 TRYING [6]
% 3.62/0.90 TRYING [6]
% 5.74/1.20 TRYING [7]
% 6.33/1.25 % (16972)First to succeed.
% 6.65/1.30 % (16972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16966"
% 6.65/1.31 % (16972)Refutation found. Thanks to Tanya!
% 6.65/1.31 % SZS status Theorem for theBenchmark
% 6.65/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 6.65/1.34 % (16972)------------------------------
% 6.65/1.34 % (16972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.65/1.34 % (16972)Termination reason: Refutation
% 6.65/1.34
% 6.65/1.34 % (16972)Memory used [KB]: 17769
% 6.65/1.34 % (16972)Time elapsed: 0.953 s
% 6.65/1.34 % (16972)Instructions burned: 2048 (million)
% 6.65/1.34 % (16966)Success in time 0.993 s
%------------------------------------------------------------------------------