TSTP Solution File: CAT026+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:43:53 EDT 2024
% Result : Theorem 13.27s 2.25s
% Output : Refutation 13.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1447
% Syntax : Number of formulae : 5444 ( 93 unt; 0 def)
% Number of atoms : 54656 (3289 equ)
% Maximal formula atoms : 26 ( 10 avg)
% Number of connectives : 96737 (47525 ~;47563 |; 185 &)
% (1391 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 13 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 1404 (1402 usr;1390 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-5 aty)
% Number of variables : 15095 (15039 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17543,plain,
$false,
inference(avatar_sat_refutation,[],[f197,f202,f207,f212,f217,f222,f227,f232,f237,f242,f247,f252,f257,f261,f265,f269,f273,f277,f281,f285,f289,f293,f301,f306,f310,f314,f318,f327,f332,f336,f340,f348,f352,f356,f360,f364,f368,f372,f388,f398,f402,f406,f419,f423,f427,f431,f435,f449,f453,f457,f461,f465,f469,f474,f490,f494,f503,f507,f529,f533,f565,f570,f574,f583,f592,f601,f610,f623,f630,f634,f635,f636,f638,f643,f661,f665,f669,f673,f677,f692,f700,f708,f713,f721,f728,f732,f736,f753,f759,f763,f770,f774,f778,f786,f790,f804,f811,f822,f826,f835,f839,f844,f848,f853,f857,f879,f883,f887,f891,f946,f974,f1008,f1012,f1016,f1020,f1039,f1063,f1085,f1089,f1093,f1097,f1150,f1154,f1158,f1162,f1166,f1170,f1174,f1179,f1183,f1187,f1191,f1250,f1256,f1262,f1270,f1277,f1284,f1290,f1296,f1302,f1309,f1315,f1321,f1329,f1336,f1342,f1348,f1354,f1360,f1366,f1371,f1375,f1380,f1384,f1388,f1396,f1406,f1421,f1425,f1429,f1433,f1437,f1441,f1458,f1468,f1478,f1488,f1492,f1501,f1507,f1513,f1520,f1526,f1534,f1540,f1547,f1553,f1560,f1566,f1572,f1578,f1583,f1589,f1595,f1601,f1607,f1613,f1626,f1637,f1645,f1653,f1661,f1666,f1673,f1677,f1681,f1696,f1703,f1708,f1714,f1720,f1729,f1736,f1741,f1747,f1753,f1757,f1773,f1789,f1805,f1821,f1830,f1834,f1838,f1842,f1846,f1850,f1863,f1870,f1874,f1883,f1898,f1913,f1917,f1924,f1942,f1946,f1952,f1957,f1975,f1993,f2025,f2043,f2065,f2083,f2101,f2107,f2112,f2119,f2123,f2137,f2143,f2157,f2163,f2177,f2183,f2201,f2207,f2221,f2227,f2241,f2247,f2262,f2266,f2272,f2286,f2290,f2324,f2328,f2345,f2355,f2359,f2363,f2367,f2371,f2375,f2383,f2402,f2406,f2410,f2414,f2418,f2423,f2471,f2475,f2510,f2544,f2548,f2612,f2616,f2620,f2624,f2628,f2633,f2637,f2641,f2660,f2666,f2670,f2674,f2678,f2682,f2686,f2690,f2694,f2698,f2703,f2707,f2711,f2715,f2719,f2723,f2727,f2731,f2735,f2739,f2744,f2748,f2752,f2756,f2760,f2764,f2840,f2902,f2907,f2911,f2915,f2919,f2923,f3032,f3053,f3057,f3061,f3065,f3145,f3150,f3154,f3158,f3252,f3256,f3260,f3264,f3281,f3322,f3326,f3366,f3370,f3374,f3379,f3383,f3395,f3399,f3403,f3407,f3411,f3415,f3419,f3423,f3427,f3431,f3435,f3439,f3619,f3624,f3628,f3672,f3676,f3680,f3684,f3688,f3692,f3696,f3700,f3832,f3837,f3841,f3845,f3849,f3853,f3857,f3861,f3865,f3965,f3969,f3973,f3977,f3998,f4050,f4054,f4058,f4062,f4066,f4070,f4074,f4078,f4082,f4086,f4090,f4094,f4098,f4102,f4106,f4110,f4117,f4152,f4157,f4162,f4168,f4174,f4180,f4186,f4191,f4196,f4207,f4223,f4228,f4236,f4247,f4255,f4263,f4272,f4278,f4282,f4286,f4290,f4294,f4298,f4340,f4350,f4360,f4370,f4380,f4390,f4401,f4412,f4420,f4425,f4437,f4448,f4460,f4472,f4483,f4493,f4498,f4503,f4507,f4511,f4518,f4522,f4527,f4532,f4537,f4542,f4589,f4594,f4615,f4626,f4637,f4648,f4658,f4665,f4672,f4681,f4685,f4693,f4700,f4707,f4715,f4725,f4736,f4746,f4750,f4754,f4758,f4763,f4767,f4778,f4796,f4807,f4825,f4837,f4855,f4866,f4894,f4906,f4910,f4921,f4932,f4942,f4946,f4950,f4969,f4997,f5018,f5054,f5091,f5095,f5110,f5125,f5140,f5155,f5159,f5164,f5168,f5184,f5188,f5212,f5225,f5241,f5246,f5295,f5343,f5347,f5351,f5355,f5359,f5386,f5391,f5409,f5427,f5445,f5464,f5482,f5500,f5518,f5536,f5555,f5559,f5577,f5595,f5613,f5621,f5641,f5661,f5681,f5701,f5717,f5742,f5746,f5766,f5786,f5806,f5826,f5844,f5860,f5876,f5892,f5908,f5926,f5942,f5958,f5974,f5990,f6008,f6026,f6030,f6039,f6059,f6063,f6067,f6074,f6082,f6090,f6097,f6104,f6112,f6120,f6127,f6134,f6139,f6143,f6163,f6171,f6178,f6185,f6238,f6246,f6264,f6282,f6302,f6322,f6333,f6344,f6355,f6366,f6378,f6382,f6393,f6404,f6415,f6433,f6452,f6470,f6488,f6492,f6496,f6500,f6504,f6508,f6513,f6517,f6521,f6525,f6543,f6561,f6577,f6594,f6610,f6626,f6644,f6662,f6681,f6685,f6703,f6721,f6739,f6750,f6762,f6773,f6857,f6885,f6889,f6893,f6905,f6926,f6946,f6966,f6986,f7006,f7027,f7031,f7051,f7071,f7075,f7079,f7083,f7087,f7106,f7124,f7135,f7146,f7157,f7169,f7237,f7245,f7249,f7253,f7257,f7262,f7266,f7270,f7274,f7278,f7282,f7286,f7290,f7294,f7298,f7311,f7315,f7319,f7323,f7341,f7359,f7377,f7431,f7449,f7467,f7480,f7493,f7506,f7519,f7520,f7524,f7537,f7550,f7563,f7576,f7594,f7612,f7632,f7637,f7650,f7660,f7664,f7682,f7700,f7713,f7726,f7784,f7800,f7820,f7836,f7852,f7870,f7888,f7906,f7924,f7928,f7932,f7936,f7941,f7945,f7992,f7996,f8000,f8038,f8076,f8080,f8084,f8088,f8095,f8101,f8105,f8121,f8125,f8129,f8189,f8193,f8197,f8201,f8205,f8209,f8238,f8278,f8282,f8286,f8290,f8336,f8349,f8353,f8417,f8421,f8426,f8430,f8434,f8438,f8442,f8446,f8450,f8551,f8555,f8559,f8563,f8567,f8571,f8576,f8580,f8584,f8588,f8592,f8596,f8600,f8604,f8608,f8612,f8616,f8621,f8625,f8629,f8633,f8678,f8711,f8715,f8719,f8723,f8727,f8731,f8736,f8740,f8744,f8897,f8901,f8905,f8909,f8913,f8917,f8921,f8925,f8929,f8933,f8938,f8942,f8946,f8950,f8954,f8958,f8962,f9178,f9242,f9246,f9250,f9254,f9258,f9262,f9266,f9270,f9274,f9278,f9525,f9529,f9533,f9537,f9605,f9610,f9614,f9618,f9622,f9626,f9630,f9634,f9638,f9699,f9703,f9707,f9711,f9746,f9840,f9844,f9884,f9888,f9892,f9897,f9901,f9905,f9909,f9913,f9917,f9921,f9931,f10005,f10009,f10013,f10026,f10030,f10034,f10038,f10042,f10057,f10067,f10071,f10075,f10079,f10083,f10087,f10091,f10096,f10100,f10104,f10108,f10112,f10116,f10120,f10124,f10128,f10132,f10137,f10141,f10422,f10426,f10430,f10434,f10438,f10442,f10446,f10450,f10454,f10458,f10462,f10466,f10479,f10483,f10487,f10491,f10495,f10560,f10685,f10689,f10693,f10697,f10701,f10705,f10709,f10753,f10883,f10887,f10891,f10895,f10899,f10912,f10916,f10920,f10924,f10928,f10932,f10936,f10940,f10944,f10948,f10953,f10957,f11062,f11066,f11070,f11075,f11079,f11083,f11087,f11199,f11204,f11208,f11212,f11216,f11220,f11224,f11228,f11232,f11236,f11240,f11244,f11248,f11252,f11256,f11260,f11264,f11518,f11538,f11542,f11546,f11550,f11554,f11558,f11562,f11566,f11570,f11575,f11579,f11583,f11587,f11591,f11595,f11599,f11603,f11607,f11611,f11616,f11620,f11624,f11628,f11907,f11977,f11981,f11985,f11989,f11993,f12006,f12010,f12014,f12018,f12022,f12026,f12030,f12034,f12038,f12042,f12047,f12051,f12055,f12059,f12063,f12067,f12071,f12075,f12079,f12083,f12220,f12309,f12313,f12353,f12357,f12361,f12366,f12370,f12374,f12378,f12382,f12386,f12390,f12394,f12398,f12402,f12542,f12548,f12552,f12556,f12560,f12564,f12568,f12572,f12576,f12709,f12713,f12717,f12721,f12725,f12737,f12741,f12745,f12749,f12753,f12766,f12770,f12774,f12778,f12782,f12786,f12790,f12794,f12798,f12802,f12807,f12811,f12815,f12819,f12823,f12827,f12831,f12835,f12839,f12843,f12847,f12852,f12856,f12860,f12864,f12868,f12872,f12876,f12880,f12884,f12888,f12893,f12897,f13162,f13379,f13383,f13387,f13392,f13396,f13400,f13404,f13408,f13412,f13416,f13420,f13424,f13428,f13432,f13437,f13441,f13445,f13449,f13453,f13457,f13461,f13465,f13469,f13473,f13477,f13481,f13485,f13489,f13493,f13497,f13501,f13505,f13509,f13513,f13517,f13530,f13534,f13538,f13542,f13546,f13550,f13554,f13558,f13562,f13566,f13571,f13575,f13579,f13583,f13587,f13591,f13595,f13599,f13603,f13607,f13611,f13616,f13620,f13624,f13628,f13632,f13636,f13640,f13644,f13648,f13669,f13798,f13908,f14004,f14010,f14014,f14018,f14022,f14026,f14030,f14034,f14038,f14042,f14047,f14051,f14055,f14059,f14063,f14067,f14071,f14075,f14079,f14083,f14087,f14091,f14095,f14099,f14103,f14107,f14111,f14115,f14119,f14123,f14127,f14140,f14144,f14148,f14167,f14212,f14226,f14230,f14234,f14238,f14242,f14255,f14259,f14263,f14267,f14271,f14275,f14279,f14283,f14287,f14291,f14296,f14300,f14304,f14308,f14312,f14316,f14320,f14324,f14328,f14332,f14502,f14663,f14667,f14671,f14675,f14679,f14683,f14687,f14691,f14695,f14699,f14703,f14707,f14711,f14715,f14719,f14723,f14727,f14731,f14744,f14748,f14752,f14756,f14760,f14764,f14768,f14809,f15017,f15023,f15027,f15031,f15035,f15039,f15043,f15047,f15051,f15055,f15060,f15064,f15068,f15172,f15236,f15240,f15244,f15248,f15325,f15329,f15333,f15337,f15341,f15345,f15349,f15354,f15358,f15362,f15366,f15370,f15374,f15378,f15382,f15386,f15390,f15394,f15399,f15403,f15407,f15411,f15415,f15419,f15423,f15427,f15431,f15435,f15439,f15443,f15447,f15451,f15455,f15459,f15503,f15542,f15546,f15550,f15555,f15559,f15563,f15567,f15571,f15575,f15579,f15583,f15587,f15591,f15595,f15600,f15604,f15608,f15612,f15616,f15620,f15624,f15628,f15632,f15636,f15640,f15644,f15648,f15652,f15656,f15660,f15664,f15668,f15672,f15676,f15822,f16128,f16148,f16152,f16156,f16160,f16164,f16168,f16172,f16176,f16180,f16185,f16189,f16193,f16197,f16201,f16205,f16209,f16261,f16482,f16486,f16490,f16494,f16498,f16502,f16506,f16511,f16515,f16647,f16652,f16656,f16660,f16664,f16668,f16672,f16676,f16680,f16684,f16688,f16692,f16696,f16700,f16704,f16708,f16712,f16966,f16986,f16990,f16994,f16998,f17002,f17006,f17010,f17014,f17018,f17023,f17027,f17031,f17035,f17039,f17043,f17047,f17051,f17055,f17059,f17064,f17068,f17072,f17076,f17080,f17084,f17088,f17092,f17096,f17100,f17104,f17109,f17113,f17117,f17136,f17181,f17204,f17217,f17231,f17235,f17248,f17261,f17274,f17287,f17301,f17314,f17327,f17340,f17353,f17367,f17371,f17384,f17402,f17419,f17432,f17442,f17459,f17468,f17481,f17490,f17500,f17501,f17504,f17514,f17517,f17518,f17523,f17534,f17536,f17541,f17542]) ).
fof(f17542,plain,
( ~ spl14_9
| ~ spl14_8
| spl14_322
| ~ spl14_499
| ~ spl14_206
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_246 ),
inference(avatar_split_clause,[],[f2237,f2225,f1510,f1259,f718,f1738,f5238,f3147,f229,f234]) ).
fof(f234,plain,
( spl14_9
<=> r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f229,plain,
( spl14_8
<=> m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f3147,plain,
( spl14_322
<=> r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_322])]) ).
fof(f5238,plain,
( spl14_499
<=> r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_499])]) ).
fof(f1738,plain,
( spl14_206
<=> m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_206])]) ).
fof(f718,plain,
( spl14_82
<=> k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
fof(f1259,plain,
( spl14_134
<=> k8_isocat_2(sK1,sK2) = k16_cat_2(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_134])]) ).
fof(f1510,plain,
( spl14_171
<=> k11_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_171])]) ).
fof(f2225,plain,
( spl14_246
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_246])]) ).
fof(f2237,plain,
( ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_246 ),
inference(forward_demodulation,[],[f2236,f1261]) ).
fof(f1261,plain,
( k8_isocat_2(sK1,sK2) = k16_cat_2(sK1,sK2)
| ~ spl14_134 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f2236,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_246 ),
inference(forward_demodulation,[],[f2235,f1261]) ).
fof(f2235,plain,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_82
| ~ spl14_171
| ~ spl14_246 ),
inference(forward_demodulation,[],[f2229,f1512]) ).
fof(f1512,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k16_cat_2(sK1,sK2))
| ~ spl14_171 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f2229,plain,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_82
| ~ spl14_246 ),
inference(superposition,[],[f2226,f720]) ).
fof(f720,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2))
| ~ spl14_82 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f2226,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),X1)
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0) )
| ~ spl14_246 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f17541,plain,
( ~ spl14_494
| ~ spl14_7
| spl14_1389
| ~ spl14_499
| ~ spl14_206
| ~ spl14_80
| ~ spl14_134
| ~ spl14_173
| ~ spl14_244 ),
inference(avatar_split_clause,[],[f2214,f2205,f1523,f1259,f705,f1738,f5238,f17538,f224,f5214]) ).
fof(f5214,plain,
( spl14_494
<=> r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_494])]) ).
fof(f224,plain,
( spl14_7
<=> m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f17538,plain,
( spl14_1389
<=> r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1389])]) ).
fof(f705,plain,
( spl14_80
<=> k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
fof(f1523,plain,
( spl14_173
<=> k11_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_173])]) ).
fof(f2205,plain,
( spl14_244
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_244])]) ).
fof(f2214,plain,
( ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_80
| ~ spl14_134
| ~ spl14_173
| ~ spl14_244 ),
inference(forward_demodulation,[],[f2213,f1261]) ).
fof(f2213,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_80
| ~ spl14_134
| ~ spl14_173
| ~ spl14_244 ),
inference(forward_demodulation,[],[f2212,f1261]) ).
fof(f2212,plain,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_80
| ~ spl14_173
| ~ spl14_244 ),
inference(forward_demodulation,[],[f2208,f1525]) ).
fof(f1525,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k16_cat_2(sK1,sK2))
| ~ spl14_173 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f2208,plain,
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_80
| ~ spl14_244 ),
inference(superposition,[],[f2206,f707]) ).
fof(f707,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2))
| ~ spl14_80 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f2206,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3) )
| ~ spl14_244 ),
inference(avatar_component_clause,[],[f2205]) ).
fof(f17536,plain,
( ~ spl14_1386
| ~ spl14_8
| ~ spl14_499
| ~ spl14_206
| spl14_1388
| ~ spl14_69
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_248
| ~ spl14_1379 ),
inference(avatar_split_clause,[],[f17525,f17435,f2245,f1510,f1259,f718,f621,f17531,f1738,f5238,f229,f17507]) ).
fof(f17507,plain,
( spl14_1386
<=> r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1386])]) ).
fof(f17531,plain,
( spl14_1388
<=> r2_nattra_1(sK0,sK1,sK13,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1388])]) ).
fof(f621,plain,
( spl14_69
<=> ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
fof(f2245,plain,
( spl14_248
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_248])]) ).
fof(f17435,plain,
( spl14_1379
<=> v1_xboole_0(k5_relat_1(sK4,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1379])]) ).
fof(f17525,plain,
( r2_nattra_1(sK0,sK1,sK13,sK13)
| ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_69
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_248
| ~ spl14_1379 ),
inference(forward_demodulation,[],[f2257,f17445]) ).
fof(f17445,plain,
( sK13 = k5_relat_1(sK4,k16_cat_2(sK1,sK2))
| ~ spl14_69
| ~ spl14_1379 ),
inference(resolution,[],[f17437,f622]) ).
fof(f622,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = X0 )
| ~ spl14_69 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f17437,plain,
( v1_xboole_0(k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ spl14_1379 ),
inference(avatar_component_clause,[],[f17435]) ).
fof(f2257,plain,
( ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_248 ),
inference(forward_demodulation,[],[f2256,f1261]) ).
fof(f2256,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_248 ),
inference(forward_demodulation,[],[f2255,f1261]) ).
fof(f2255,plain,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_82
| ~ spl14_171
| ~ spl14_248 ),
inference(forward_demodulation,[],[f2249,f1512]) ).
fof(f2249,plain,
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK4),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_82
| ~ spl14_248 ),
inference(superposition,[],[f2246,f720]) ).
fof(f2246,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4) )
| ~ spl14_248 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f17534,plain,
( ~ spl14_494
| ~ spl14_7
| ~ spl14_499
| ~ spl14_206
| spl14_1388
| ~ spl14_69
| ~ spl14_80
| ~ spl14_134
| ~ spl14_173
| ~ spl14_244
| ~ spl14_1381 ),
inference(avatar_split_clause,[],[f17524,f17452,f2205,f1523,f1259,f705,f621,f17531,f1738,f5238,f224,f5214]) ).
fof(f17452,plain,
( spl14_1381
<=> v1_xboole_0(k5_relat_1(sK3,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1381])]) ).
fof(f17524,plain,
( r2_nattra_1(sK0,sK1,sK13,sK13)
| ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_69
| ~ spl14_80
| ~ spl14_134
| ~ spl14_173
| ~ spl14_244
| ~ spl14_1381 ),
inference(forward_demodulation,[],[f2214,f17462]) ).
fof(f17462,plain,
( sK13 = k5_relat_1(sK3,k16_cat_2(sK1,sK2))
| ~ spl14_69
| ~ spl14_1381 ),
inference(resolution,[],[f17454,f622]) ).
fof(f17454,plain,
( v1_xboole_0(k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ spl14_1381 ),
inference(avatar_component_clause,[],[f17452]) ).
fof(f17523,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_206
| ~ spl14_101
| spl14_499 ),
inference(avatar_split_clause,[],[f5242,f5238,f833,f1738,f209,f204,f747,f743]) ).
fof(f743,plain,
( spl14_86
<=> v2_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
fof(f747,plain,
( spl14_87
<=> l1_cat_1(k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
fof(f204,plain,
( spl14_3
<=> v2_cat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f209,plain,
( spl14_4
<=> l1_cat_1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f833,plain,
( spl14_101
<=> ! [X2,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_101])]) ).
fof(f5242,plain,
( ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_101
| spl14_499 ),
inference(resolution,[],[f5240,f834]) ).
fof(f834,plain,
( ! [X2,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_101 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f5240,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| spl14_499 ),
inference(avatar_component_clause,[],[f5238]) ).
fof(f17518,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_8
| ~ spl14_101
| spl14_1386 ),
inference(avatar_split_clause,[],[f17515,f17507,f833,f229,f747,f743,f199,f194]) ).
fof(f194,plain,
( spl14_1
<=> v2_cat_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f199,plain,
( spl14_2
<=> l1_cat_1(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f17515,plain,
( ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_101
| spl14_1386 ),
inference(resolution,[],[f17509,f834]) ).
fof(f17509,plain,
( ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| spl14_1386 ),
inference(avatar_component_clause,[],[f17507]) ).
fof(f17517,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_202
| ~ spl14_101
| spl14_1387 ),
inference(avatar_split_clause,[],[f17516,f17511,f833,f1717,f219,f214,f199,f194]) ).
fof(f214,plain,
( spl14_5
<=> v2_cat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f219,plain,
( spl14_6
<=> l1_cat_1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f1717,plain,
( spl14_202
<=> m2_cat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_202])]) ).
fof(f17511,plain,
( spl14_1387
<=> r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1387])]) ).
fof(f17516,plain,
( ~ m2_cat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_101
| spl14_1387 ),
inference(resolution,[],[f17512,f834]) ).
fof(f17512,plain,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| spl14_1387 ),
inference(avatar_component_clause,[],[f17511]) ).
fof(f17514,plain,
( ~ spl14_1386
| ~ spl14_8
| spl14_1387
| ~ spl14_496
| ~ spl14_200
| ~ spl14_79
| ~ spl14_143
| ~ spl14_175
| ~ spl14_240 ),
inference(avatar_split_clause,[],[f2173,f2161,f1537,f1318,f697,f1705,f5222,f17511,f229,f17507]) ).
fof(f5222,plain,
( spl14_496
<=> r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_496])]) ).
fof(f1705,plain,
( spl14_200
<=> m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_200])]) ).
fof(f697,plain,
( spl14_79
<=> k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
fof(f1318,plain,
( spl14_143
<=> k9_isocat_2(sK1,sK2) = k17_cat_2(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_143])]) ).
fof(f1537,plain,
( spl14_175
<=> k12_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_175])]) ).
fof(f2161,plain,
( spl14_240
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_240])]) ).
fof(f2173,plain,
( ~ m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_79
| ~ spl14_143
| ~ spl14_175
| ~ spl14_240 ),
inference(forward_demodulation,[],[f2172,f1320]) ).
fof(f1320,plain,
( k9_isocat_2(sK1,sK2) = k17_cat_2(sK1,sK2)
| ~ spl14_143 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f2172,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_79
| ~ spl14_143
| ~ spl14_175
| ~ spl14_240 ),
inference(forward_demodulation,[],[f2171,f1320]) ).
fof(f2171,plain,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_79
| ~ spl14_175
| ~ spl14_240 ),
inference(forward_demodulation,[],[f2165,f1539]) ).
fof(f1539,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k17_cat_2(sK1,sK2))
| ~ spl14_175 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f2165,plain,
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK4),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK4)
| ~ spl14_79
| ~ spl14_240 ),
inference(superposition,[],[f2162,f699]) ).
fof(f699,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2))
| ~ spl14_79 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f2162,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4) )
| ~ spl14_240 ),
inference(avatar_component_clause,[],[f2161]) ).
fof(f17504,plain,
( ~ spl14_335
| ~ spl14_177
| spl14_329 ),
inference(avatar_split_clause,[],[f3282,f3278,f1550,f3376]) ).
fof(f3376,plain,
( spl14_335
<=> r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_335])]) ).
fof(f1550,plain,
( spl14_177
<=> k12_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_177])]) ).
fof(f3278,plain,
( spl14_329
<=> r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k5_relat_1(sK4,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_329])]) ).
fof(f3282,plain,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ spl14_177
| spl14_329 ),
inference(forward_demodulation,[],[f3280,f1552]) ).
fof(f1552,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k17_cat_2(sK1,sK2))
| ~ spl14_177 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f3280,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| spl14_329 ),
inference(avatar_component_clause,[],[f3278]) ).
fof(f17501,plain,
( ~ spl14_9
| ~ spl14_8
| spl14_335
| ~ spl14_496
| ~ spl14_200
| ~ spl14_79
| ~ spl14_143
| ~ spl14_175
| ~ spl14_238 ),
inference(avatar_split_clause,[],[f2153,f2141,f1537,f1318,f697,f1705,f5222,f3376,f229,f234]) ).
fof(f2141,plain,
( spl14_238
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_238])]) ).
fof(f2153,plain,
( ~ m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_79
| ~ spl14_143
| ~ spl14_175
| ~ spl14_238 ),
inference(forward_demodulation,[],[f2152,f1320]) ).
fof(f2152,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_79
| ~ spl14_143
| ~ spl14_175
| ~ spl14_238 ),
inference(forward_demodulation,[],[f2151,f1320]) ).
fof(f2151,plain,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_79
| ~ spl14_175
| ~ spl14_238 ),
inference(forward_demodulation,[],[f2145,f1539]) ).
fof(f2145,plain,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
| ~ spl14_79
| ~ spl14_238 ),
inference(superposition,[],[f2142,f699]) ).
fof(f2142,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),X1)
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0) )
| ~ spl14_238 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f17500,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| ~ spl14_200
| ~ spl14_101
| spl14_496 ),
inference(avatar_split_clause,[],[f5227,f5222,f833,f1705,f219,f214,f747,f743]) ).
fof(f5227,plain,
( ~ m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_101
| spl14_496 ),
inference(resolution,[],[f5224,f834]) ).
fof(f5224,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| spl14_496 ),
inference(avatar_component_clause,[],[f5222]) ).
fof(f17490,plain,
( spl14_1384
| spl14_1385
| ~ spl14_33
| ~ spl14_439 ),
inference(avatar_split_clause,[],[f4543,f4540,f346,f17488,f17484]) ).
fof(f17484,plain,
( spl14_1384
<=> v1_xboole_0(k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1384])]) ).
fof(f17488,plain,
( spl14_1385
<=> ! [X0] :
( ~ r2_hidden(X0,sK3)
| r2_hidden(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1385])]) ).
fof(f346,plain,
( spl14_33
<=> ! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
fof(f4540,plain,
( spl14_439
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))))
| ~ r2_hidden(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_439])]) ).
fof(f4543,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3)
| v1_xboole_0(k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))))
| r2_hidden(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2)))) )
| ~ spl14_33
| ~ spl14_439 ),
inference(resolution,[],[f4541,f347]) ).
fof(f347,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) )
| ~ spl14_33 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f4541,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))))
| ~ r2_hidden(X0,sK3) )
| ~ spl14_439 ),
inference(avatar_component_clause,[],[f4540]) ).
fof(f17481,plain,
( spl14_1383
| ~ spl14_69
| ~ spl14_1376 ),
inference(avatar_split_clause,[],[f17422,f17412,f621,f17478]) ).
fof(f17478,plain,
( spl14_1383
<=> sK13 = k5_relat_1(sK3,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1383])]) ).
fof(f17412,plain,
( spl14_1376
<=> v1_xboole_0(k5_relat_1(sK3,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1376])]) ).
fof(f17422,plain,
( sK13 = k5_relat_1(sK3,k17_cat_2(sK1,sK2))
| ~ spl14_69
| ~ spl14_1376 ),
inference(resolution,[],[f17414,f622]) ).
fof(f17414,plain,
( v1_xboole_0(k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ spl14_1376 ),
inference(avatar_component_clause,[],[f17412]) ).
fof(f17468,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_7
| ~ spl14_101
| spl14_494 ),
inference(avatar_split_clause,[],[f5226,f5214,f833,f224,f747,f743,f199,f194]) ).
fof(f5226,plain,
( ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_101
| spl14_494 ),
inference(resolution,[],[f5216,f834]) ).
fof(f5216,plain,
( ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| spl14_494 ),
inference(avatar_component_clause,[],[f5214]) ).
fof(f17459,plain,
( spl14_1381
| spl14_1382
| ~ spl14_73
| ~ spl14_438 ),
inference(avatar_split_clause,[],[f4538,f4535,f659,f17456,f17452]) ).
fof(f17456,plain,
( spl14_1382
<=> m1_subset_1(sK6(k5_relat_1(sK3,k16_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1382])]) ).
fof(f659,plain,
( spl14_73
<=> ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
fof(f4535,plain,
( spl14_438
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1)))
| ~ r2_hidden(X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_438])]) ).
fof(f4538,plain,
( m1_subset_1(sK6(k5_relat_1(sK3,k16_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1)))
| v1_xboole_0(k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ spl14_73
| ~ spl14_438 ),
inference(resolution,[],[f4536,f660]) ).
fof(f660,plain,
( ! [X0] :
( r2_hidden(sK6(X0),X0)
| v1_xboole_0(X0) )
| ~ spl14_73 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f4536,plain,
( ! [X0] :
( ~ r2_hidden(X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1))) )
| ~ spl14_438 ),
inference(avatar_component_clause,[],[f4535]) ).
fof(f17442,plain,
( spl14_1379
| spl14_1380
| ~ spl14_73
| ~ spl14_437 ),
inference(avatar_split_clause,[],[f4533,f4530,f659,f17439,f17435]) ).
fof(f17439,plain,
( spl14_1380
<=> m1_subset_1(sK6(k5_relat_1(sK4,k16_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1380])]) ).
fof(f4530,plain,
( spl14_437
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1)))
| ~ r2_hidden(X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_437])]) ).
fof(f4533,plain,
( m1_subset_1(sK6(k5_relat_1(sK4,k16_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1)))
| v1_xboole_0(k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ spl14_73
| ~ spl14_437 ),
inference(resolution,[],[f4531,f660]) ).
fof(f4531,plain,
( ! [X0] :
( ~ r2_hidden(X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1))) )
| ~ spl14_437 ),
inference(avatar_component_clause,[],[f4530]) ).
fof(f17432,plain,
( spl14_1378
| ~ spl14_69
| ~ spl14_1374 ),
inference(avatar_split_clause,[],[f17405,f17395,f621,f17429]) ).
fof(f17429,plain,
( spl14_1378
<=> sK13 = k5_relat_1(sK4,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1378])]) ).
fof(f17395,plain,
( spl14_1374
<=> v1_xboole_0(k5_relat_1(sK4,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1374])]) ).
fof(f17405,plain,
( sK13 = k5_relat_1(sK4,k17_cat_2(sK1,sK2))
| ~ spl14_69
| ~ spl14_1374 ),
inference(resolution,[],[f17397,f622]) ).
fof(f17397,plain,
( v1_xboole_0(k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ spl14_1374 ),
inference(avatar_component_clause,[],[f17395]) ).
fof(f17419,plain,
( spl14_1376
| spl14_1377
| ~ spl14_73
| ~ spl14_436 ),
inference(avatar_split_clause,[],[f4528,f4525,f659,f17416,f17412]) ).
fof(f17416,plain,
( spl14_1377
<=> m1_subset_1(sK6(k5_relat_1(sK3,k17_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1377])]) ).
fof(f4525,plain,
( spl14_436
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2)))
| ~ r2_hidden(X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_436])]) ).
fof(f4528,plain,
( m1_subset_1(sK6(k5_relat_1(sK3,k17_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2)))
| v1_xboole_0(k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ spl14_73
| ~ spl14_436 ),
inference(resolution,[],[f4526,f660]) ).
fof(f4526,plain,
( ! [X0] :
( ~ r2_hidden(X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2))) )
| ~ spl14_436 ),
inference(avatar_component_clause,[],[f4525]) ).
fof(f17402,plain,
( spl14_1374
| spl14_1375
| ~ spl14_73
| ~ spl14_435 ),
inference(avatar_split_clause,[],[f4523,f4520,f659,f17399,f17395]) ).
fof(f17399,plain,
( spl14_1375
<=> m1_subset_1(sK6(k5_relat_1(sK4,k17_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1375])]) ).
fof(f4520,plain,
( spl14_435
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2)))
| ~ r2_hidden(X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_435])]) ).
fof(f4523,plain,
( m1_subset_1(sK6(k5_relat_1(sK4,k17_cat_2(sK1,sK2))),k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2)))
| v1_xboole_0(k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ spl14_73
| ~ spl14_435 ),
inference(resolution,[],[f4521,f660]) ).
fof(f4521,plain,
( ! [X0] :
( ~ r2_hidden(X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2))) )
| ~ spl14_435 ),
inference(avatar_component_clause,[],[f4520]) ).
fof(f17384,plain,
( spl14_1373
| ~ spl14_5
| ~ spl14_6
| ~ spl14_421 ),
inference(avatar_split_clause,[],[f4395,f4388,f219,f214,f17382]) ).
fof(f17382,plain,
( spl14_1373
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK2,sK2)) = k9_isocat_2(X0,k11_cat_2(sK2,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1373])]) ).
fof(f4388,plain,
( spl14_421
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k17_cat_2(X0,k11_cat_2(X1,sK2)) = k9_isocat_2(X0,k11_cat_2(X1,sK2))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_421])]) ).
fof(f4395,plain,
( ! [X0] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK2,sK2)) = k9_isocat_2(X0,k11_cat_2(sK2,sK2))
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_421 ),
inference(resolution,[],[f4389,f221]) ).
fof(f221,plain,
( l1_cat_1(sK2)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f4389,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,sK2)) = k9_isocat_2(X0,k11_cat_2(X1,sK2))
| ~ v2_cat_1(X0) )
| ~ spl14_421 ),
inference(avatar_component_clause,[],[f4388]) ).
fof(f17371,plain,
( spl14_1372
| ~ spl14_1
| ~ spl14_2
| ~ spl14_421 ),
inference(avatar_split_clause,[],[f4393,f4388,f199,f194,f17369]) ).
fof(f17369,plain,
( spl14_1372
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK0,sK2)) = k9_isocat_2(X0,k11_cat_2(sK0,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1372])]) ).
fof(f4393,plain,
( ! [X0] :
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK0,sK2)) = k9_isocat_2(X0,k11_cat_2(sK0,sK2))
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_421 ),
inference(resolution,[],[f4389,f201]) ).
fof(f201,plain,
( l1_cat_1(sK0)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f17367,plain,
( spl14_1371
| ~ spl14_3
| ~ spl14_4
| ~ spl14_1357 ),
inference(avatar_split_clause,[],[f17198,f17179,f209,f204,f17364]) ).
fof(f17364,plain,
( spl14_1371
<=> k16_cat_2(sK1,k11_cat_2(sK1,sK0)) = k8_isocat_2(sK1,k11_cat_2(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1371])]) ).
fof(f17179,plain,
( spl14_1357
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK1,sK0)) = k8_isocat_2(X0,k11_cat_2(sK1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1357])]) ).
fof(f17198,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(sK1,k11_cat_2(sK1,sK0)) = k8_isocat_2(sK1,k11_cat_2(sK1,sK0))
| ~ spl14_4
| ~ spl14_1357 ),
inference(resolution,[],[f17180,f211]) ).
fof(f211,plain,
( l1_cat_1(sK1)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f17180,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK1,sK0)) = k8_isocat_2(X0,k11_cat_2(sK1,sK0)) )
| ~ spl14_1357 ),
inference(avatar_component_clause,[],[f17179]) ).
fof(f17353,plain,
( spl14_1370
| ~ spl14_5
| ~ spl14_6
| ~ spl14_420 ),
inference(avatar_split_clause,[],[f4385,f4378,f219,f214,f17351]) ).
fof(f17351,plain,
( spl14_1370
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK2,sK1)) = k9_isocat_2(X0,k11_cat_2(sK2,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1370])]) ).
fof(f4378,plain,
( spl14_420
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k17_cat_2(X0,k11_cat_2(X1,sK1)) = k9_isocat_2(X0,k11_cat_2(X1,sK1))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_420])]) ).
fof(f4385,plain,
( ! [X0] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK2,sK1)) = k9_isocat_2(X0,k11_cat_2(sK2,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_420 ),
inference(resolution,[],[f4379,f221]) ).
fof(f4379,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,sK1)) = k9_isocat_2(X0,k11_cat_2(X1,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_420 ),
inference(avatar_component_clause,[],[f4378]) ).
fof(f17340,plain,
( spl14_1369
| ~ spl14_3
| ~ spl14_4
| ~ spl14_420 ),
inference(avatar_split_clause,[],[f4384,f4378,f209,f204,f17338]) ).
fof(f17338,plain,
( spl14_1369
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK1,sK1)) = k9_isocat_2(X0,k11_cat_2(sK1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1369])]) ).
fof(f4384,plain,
( ! [X0] :
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK1,sK1)) = k9_isocat_2(X0,k11_cat_2(sK1,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_420 ),
inference(resolution,[],[f4379,f211]) ).
fof(f17327,plain,
( spl14_1368
| ~ spl14_1
| ~ spl14_2
| ~ spl14_420 ),
inference(avatar_split_clause,[],[f4383,f4378,f199,f194,f17325]) ).
fof(f17325,plain,
( spl14_1368
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK0,sK1)) = k9_isocat_2(X0,k11_cat_2(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1368])]) ).
fof(f4383,plain,
( ! [X0] :
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK0,sK1)) = k9_isocat_2(X0,k11_cat_2(sK0,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_420 ),
inference(resolution,[],[f4379,f201]) ).
fof(f17314,plain,
( spl14_1367
| ~ spl14_5
| ~ spl14_6
| ~ spl14_419 ),
inference(avatar_split_clause,[],[f4375,f4368,f219,f214,f17312]) ).
fof(f17312,plain,
( spl14_1367
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK2,sK0)) = k9_isocat_2(X0,k11_cat_2(sK2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1367])]) ).
fof(f4368,plain,
( spl14_419
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k17_cat_2(X0,k11_cat_2(X1,sK0)) = k9_isocat_2(X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_419])]) ).
fof(f4375,plain,
( ! [X0] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK2,sK0)) = k9_isocat_2(X0,k11_cat_2(sK2,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_419 ),
inference(resolution,[],[f4369,f221]) ).
fof(f4369,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,sK0)) = k9_isocat_2(X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_419 ),
inference(avatar_component_clause,[],[f4368]) ).
fof(f17301,plain,
( spl14_1366
| ~ spl14_3
| ~ spl14_4
| ~ spl14_419 ),
inference(avatar_split_clause,[],[f4374,f4368,f209,f204,f17299]) ).
fof(f17299,plain,
( spl14_1366
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK1,sK0)) = k9_isocat_2(X0,k11_cat_2(sK1,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1366])]) ).
fof(f4374,plain,
( ! [X0] :
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK1,sK0)) = k9_isocat_2(X0,k11_cat_2(sK1,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_419 ),
inference(resolution,[],[f4369,f211]) ).
fof(f17287,plain,
( spl14_1365
| ~ spl14_1
| ~ spl14_2
| ~ spl14_419 ),
inference(avatar_split_clause,[],[f4373,f4368,f199,f194,f17285]) ).
fof(f17285,plain,
( spl14_1365
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK0,sK0)) = k9_isocat_2(X0,k11_cat_2(sK0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1365])]) ).
fof(f4373,plain,
( ! [X0] :
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK0,sK0)) = k9_isocat_2(X0,k11_cat_2(sK0,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_419 ),
inference(resolution,[],[f4369,f201]) ).
fof(f17274,plain,
( spl14_1364
| ~ spl14_5
| ~ spl14_6
| ~ spl14_418 ),
inference(avatar_split_clause,[],[f4365,f4358,f219,f214,f17272]) ).
fof(f17272,plain,
( spl14_1364
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK2,sK2)) = k8_isocat_2(X0,k11_cat_2(sK2,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1364])]) ).
fof(f4358,plain,
( spl14_418
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k16_cat_2(X0,k11_cat_2(X1,sK2)) = k8_isocat_2(X0,k11_cat_2(X1,sK2))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_418])]) ).
fof(f4365,plain,
( ! [X0] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK2,sK2)) = k8_isocat_2(X0,k11_cat_2(sK2,sK2))
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_418 ),
inference(resolution,[],[f4359,f221]) ).
fof(f4359,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,sK2)) = k8_isocat_2(X0,k11_cat_2(X1,sK2))
| ~ v2_cat_1(X0) )
| ~ spl14_418 ),
inference(avatar_component_clause,[],[f4358]) ).
fof(f17261,plain,
( spl14_1363
| ~ spl14_1
| ~ spl14_2
| ~ spl14_418 ),
inference(avatar_split_clause,[],[f4363,f4358,f199,f194,f17259]) ).
fof(f17259,plain,
( spl14_1363
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK0,sK2)) = k8_isocat_2(X0,k11_cat_2(sK0,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1363])]) ).
fof(f4363,plain,
( ! [X0] :
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK0,sK2)) = k8_isocat_2(X0,k11_cat_2(sK0,sK2))
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_418 ),
inference(resolution,[],[f4359,f201]) ).
fof(f17248,plain,
( spl14_1362
| ~ spl14_5
| ~ spl14_6
| ~ spl14_417 ),
inference(avatar_split_clause,[],[f4355,f4348,f219,f214,f17246]) ).
fof(f17246,plain,
( spl14_1362
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK2,sK1)) = k8_isocat_2(X0,k11_cat_2(sK2,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1362])]) ).
fof(f4348,plain,
( spl14_417
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k16_cat_2(X0,k11_cat_2(X1,sK1)) = k8_isocat_2(X0,k11_cat_2(X1,sK1))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_417])]) ).
fof(f4355,plain,
( ! [X0] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK2,sK1)) = k8_isocat_2(X0,k11_cat_2(sK2,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_417 ),
inference(resolution,[],[f4349,f221]) ).
fof(f4349,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,sK1)) = k8_isocat_2(X0,k11_cat_2(X1,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_417 ),
inference(avatar_component_clause,[],[f4348]) ).
fof(f17235,plain,
( spl14_1361
| ~ spl14_3
| ~ spl14_4
| ~ spl14_417 ),
inference(avatar_split_clause,[],[f4354,f4348,f209,f204,f17233]) ).
fof(f17233,plain,
( spl14_1361
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK1,sK1)) = k8_isocat_2(X0,k11_cat_2(sK1,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1361])]) ).
fof(f4354,plain,
( ! [X0] :
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK1,sK1)) = k8_isocat_2(X0,k11_cat_2(sK1,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_417 ),
inference(resolution,[],[f4349,f211]) ).
fof(f17231,plain,
( spl14_1360
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1357 ),
inference(avatar_split_clause,[],[f17197,f17179,f199,f194,f17228]) ).
fof(f17228,plain,
( spl14_1360
<=> k16_cat_2(sK0,k11_cat_2(sK1,sK0)) = k8_isocat_2(sK0,k11_cat_2(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1360])]) ).
fof(f17197,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(sK0,k11_cat_2(sK1,sK0)) = k8_isocat_2(sK0,k11_cat_2(sK1,sK0))
| ~ spl14_2
| ~ spl14_1357 ),
inference(resolution,[],[f17180,f201]) ).
fof(f17217,plain,
( spl14_1359
| ~ spl14_1
| ~ spl14_2
| ~ spl14_417 ),
inference(avatar_split_clause,[],[f4353,f4348,f199,f194,f17215]) ).
fof(f17215,plain,
( spl14_1359
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK0,sK1)) = k8_isocat_2(X0,k11_cat_2(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1359])]) ).
fof(f4353,plain,
( ! [X0] :
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK0,sK1)) = k8_isocat_2(X0,k11_cat_2(sK0,sK1))
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_417 ),
inference(resolution,[],[f4349,f201]) ).
fof(f17204,plain,
( spl14_1358
| ~ spl14_5
| ~ spl14_6
| ~ spl14_416 ),
inference(avatar_split_clause,[],[f4345,f4338,f219,f214,f17202]) ).
fof(f17202,plain,
( spl14_1358
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK2,sK0)) = k8_isocat_2(X0,k11_cat_2(sK2,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1358])]) ).
fof(f4338,plain,
( spl14_416
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k16_cat_2(X0,k11_cat_2(X1,sK0)) = k8_isocat_2(X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_416])]) ).
fof(f4345,plain,
( ! [X0] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK2,sK0)) = k8_isocat_2(X0,k11_cat_2(sK2,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_416 ),
inference(resolution,[],[f4339,f221]) ).
fof(f4339,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,sK0)) = k8_isocat_2(X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_416 ),
inference(avatar_component_clause,[],[f4338]) ).
fof(f17181,plain,
( spl14_1357
| ~ spl14_3
| ~ spl14_4
| ~ spl14_416 ),
inference(avatar_split_clause,[],[f4344,f4338,f209,f204,f17179]) ).
fof(f4344,plain,
( ! [X0] :
( ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK1,sK0)) = k8_isocat_2(X0,k11_cat_2(sK1,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_416 ),
inference(resolution,[],[f4339,f211]) ).
fof(f17136,plain,
( spl14_1356
| ~ spl14_5
| ~ spl14_6
| ~ spl14_1316 ),
inference(avatar_split_clause,[],[f16800,f16690,f219,f214,f17133]) ).
fof(f17133,plain,
( spl14_1356
<=> k16_cat_2(sK2,k11_cat_2(sK0,sK0)) = k8_isocat_2(sK2,k11_cat_2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1356])]) ).
fof(f16690,plain,
( spl14_1316
<=> ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK0,sK0)) = k8_isocat_2(X0,k11_cat_2(sK0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1316])]) ).
fof(f16800,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(sK2,k11_cat_2(sK0,sK0)) = k8_isocat_2(sK2,k11_cat_2(sK0,sK0))
| ~ spl14_6
| ~ spl14_1316 ),
inference(resolution,[],[f16691,f221]) ).
fof(f16691,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK0,sK0)) = k8_isocat_2(X0,k11_cat_2(sK0,sK0)) )
| ~ spl14_1316 ),
inference(avatar_component_clause,[],[f16690]) ).
fof(f17117,plain,
( spl14_1355
| ~ spl14_52
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3957,f3863,f459,f17115]) ).
fof(f17115,plain,
( spl14_1355
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1355])]) ).
fof(f459,plain,
( spl14_52
<=> ! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
fof(f3863,plain,
( spl14_368
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_368])]) ).
fof(f3957,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_368 ),
inference(resolution,[],[f3864,f460]) ).
fof(f460,plain,
( ! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f3864,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_368 ),
inference(avatar_component_clause,[],[f3863]) ).
fof(f17113,plain,
( spl14_1354
| ~ spl14_51
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3956,f3863,f455,f17111]) ).
fof(f17111,plain,
( spl14_1354
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1354])]) ).
fof(f455,plain,
( spl14_51
<=> ! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
fof(f3956,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) )
| ~ spl14_51
| ~ spl14_368 ),
inference(resolution,[],[f3864,f456]) ).
fof(f456,plain,
( ! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_51 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f17109,plain,
( spl14_1353
| ~ spl14_50
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3955,f3863,f451,f17107]) ).
fof(f17107,plain,
( spl14_1353
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1353])]) ).
fof(f451,plain,
( spl14_50
<=> ! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
fof(f3955,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_368 ),
inference(resolution,[],[f3864,f452]) ).
fof(f452,plain,
( ! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f17104,plain,
( spl14_1352
| ~ spl14_49
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3954,f3863,f447,f17102]) ).
fof(f17102,plain,
( spl14_1352
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1352])]) ).
fof(f447,plain,
( spl14_49
<=> ! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
fof(f3954,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) )
| ~ spl14_49
| ~ spl14_368 ),
inference(resolution,[],[f3864,f448]) ).
fof(f448,plain,
( ! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_49 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f17100,plain,
( spl14_1351
| ~ spl14_52
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3945,f3859,f459,f17098]) ).
fof(f17098,plain,
( spl14_1351
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1351])]) ).
fof(f3859,plain,
( spl14_367
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_367])]) ).
fof(f3945,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_367 ),
inference(resolution,[],[f3860,f460]) ).
fof(f3860,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_367 ),
inference(avatar_component_clause,[],[f3859]) ).
fof(f17096,plain,
( spl14_1350
| ~ spl14_51
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3944,f3859,f455,f17094]) ).
fof(f17094,plain,
( spl14_1350
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1350])]) ).
fof(f3944,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_51
| ~ spl14_367 ),
inference(resolution,[],[f3860,f456]) ).
fof(f17092,plain,
( spl14_1349
| ~ spl14_50
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3943,f3859,f451,f17090]) ).
fof(f17090,plain,
( spl14_1349
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1349])]) ).
fof(f3943,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_367 ),
inference(resolution,[],[f3860,f452]) ).
fof(f17088,plain,
( spl14_1348
| ~ spl14_49
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3942,f3859,f447,f17086]) ).
fof(f17086,plain,
( spl14_1348
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1348])]) ).
fof(f3942,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_49
| ~ spl14_367 ),
inference(resolution,[],[f3860,f448]) ).
fof(f17084,plain,
( spl14_1347
| ~ spl14_52
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3933,f3855,f459,f17082]) ).
fof(f17082,plain,
( spl14_1347
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1347])]) ).
fof(f3855,plain,
( spl14_366
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_366])]) ).
fof(f3933,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_366 ),
inference(resolution,[],[f3856,f460]) ).
fof(f3856,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_366 ),
inference(avatar_component_clause,[],[f3855]) ).
fof(f17080,plain,
( spl14_1346
| ~ spl14_51
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3932,f3855,f455,f17078]) ).
fof(f17078,plain,
( spl14_1346
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1346])]) ).
fof(f3932,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) )
| ~ spl14_51
| ~ spl14_366 ),
inference(resolution,[],[f3856,f456]) ).
fof(f17076,plain,
( spl14_1345
| ~ spl14_50
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3931,f3855,f451,f17074]) ).
fof(f17074,plain,
( spl14_1345
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1345])]) ).
fof(f3931,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_366 ),
inference(resolution,[],[f3856,f452]) ).
fof(f17072,plain,
( spl14_1344
| ~ spl14_49
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3930,f3855,f447,f17070]) ).
fof(f17070,plain,
( spl14_1344
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1344])]) ).
fof(f3930,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) )
| ~ spl14_49
| ~ spl14_366 ),
inference(resolution,[],[f3856,f448]) ).
fof(f17068,plain,
( spl14_1343
| ~ spl14_52
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3921,f3851,f459,f17066]) ).
fof(f17066,plain,
( spl14_1343
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1343])]) ).
fof(f3851,plain,
( spl14_365
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_365])]) ).
fof(f3921,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_365 ),
inference(resolution,[],[f3852,f460]) ).
fof(f3852,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_365 ),
inference(avatar_component_clause,[],[f3851]) ).
fof(f17064,plain,
( spl14_1342
| ~ spl14_3
| ~ spl14_4
| ~ spl14_1316 ),
inference(avatar_split_clause,[],[f16799,f16690,f209,f204,f17061]) ).
fof(f17061,plain,
( spl14_1342
<=> k16_cat_2(sK1,k11_cat_2(sK0,sK0)) = k8_isocat_2(sK1,k11_cat_2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1342])]) ).
fof(f16799,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(sK1,k11_cat_2(sK0,sK0)) = k8_isocat_2(sK1,k11_cat_2(sK0,sK0))
| ~ spl14_4
| ~ spl14_1316 ),
inference(resolution,[],[f16691,f211]) ).
fof(f17059,plain,
( spl14_1341
| ~ spl14_51
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3920,f3851,f455,f17057]) ).
fof(f17057,plain,
( spl14_1341
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1341])]) ).
fof(f3920,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_51
| ~ spl14_365 ),
inference(resolution,[],[f3852,f456]) ).
fof(f17055,plain,
( spl14_1340
| ~ spl14_50
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3919,f3851,f451,f17053]) ).
fof(f17053,plain,
( spl14_1340
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1340])]) ).
fof(f3919,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_365 ),
inference(resolution,[],[f3852,f452]) ).
fof(f17051,plain,
( spl14_1339
| ~ spl14_49
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3918,f3851,f447,f17049]) ).
fof(f17049,plain,
( spl14_1339
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1339])]) ).
fof(f3918,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_49
| ~ spl14_365 ),
inference(resolution,[],[f3852,f448]) ).
fof(f17047,plain,
( spl14_1338
| ~ spl14_52
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3909,f3847,f459,f17045]) ).
fof(f17045,plain,
( spl14_1338
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1338])]) ).
fof(f3847,plain,
( spl14_364
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_364])]) ).
fof(f3909,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_364 ),
inference(resolution,[],[f3848,f460]) ).
fof(f3848,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_364 ),
inference(avatar_component_clause,[],[f3847]) ).
fof(f17043,plain,
( spl14_1337
| ~ spl14_51
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3908,f3847,f455,f17041]) ).
fof(f17041,plain,
( spl14_1337
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1337])]) ).
fof(f3908,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k8_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) )
| ~ spl14_51
| ~ spl14_364 ),
inference(resolution,[],[f3848,f456]) ).
fof(f17039,plain,
( spl14_1336
| ~ spl14_50
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3907,f3847,f451,f17037]) ).
fof(f17037,plain,
( spl14_1336
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1336])]) ).
fof(f3907,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(X1,X0),X3,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)),k11_cat_2(k11_cat_2(X1,X0),X3),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_364 ),
inference(resolution,[],[f3848,f452]) ).
fof(f17035,plain,
( spl14_1335
| ~ spl14_49
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3906,f3847,f447,f17033]) ).
fof(f17033,plain,
( spl14_1335
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1335])]) ).
fof(f3906,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(X1,X0),X2,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X2),X3,k16_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)) )
| ~ spl14_49
| ~ spl14_364 ),
inference(resolution,[],[f3848,f448]) ).
fof(f17031,plain,
( spl14_1334
| ~ spl14_52
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3897,f3843,f459,f17029]) ).
fof(f17029,plain,
( spl14_1334
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1334])]) ).
fof(f3843,plain,
( spl14_363
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_363])]) ).
fof(f3897,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_363 ),
inference(resolution,[],[f3844,f460]) ).
fof(f3844,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_363 ),
inference(avatar_component_clause,[],[f3843]) ).
fof(f17027,plain,
( spl14_1333
| ~ spl14_51
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3896,f3843,f455,f17025]) ).
fof(f17025,plain,
( spl14_1333
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1333])]) ).
fof(f3896,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k8_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_51
| ~ spl14_363 ),
inference(resolution,[],[f3844,f456]) ).
fof(f17023,plain,
( spl14_1332
| ~ spl14_50
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3895,f3843,f451,f17021]) ).
fof(f17021,plain,
( spl14_1332
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1332])]) ).
fof(f3895,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),k11_cat_2(X1,X0),X4,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))),X3,k11_cat_2(k11_cat_2(X1,X0),X4),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_363 ),
inference(resolution,[],[f3844,f452]) ).
fof(f17018,plain,
( spl14_1331
| ~ spl14_49
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3894,f3843,f447,f17016]) ).
fof(f17016,plain,
( spl14_1331
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1331])]) ).
fof(f3894,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),k11_cat_2(X1,X0),X3,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4),X2,k11_cat_2(k11_cat_2(X1,X0),X3),k16_cat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_49
| ~ spl14_363 ),
inference(resolution,[],[f3844,f448]) ).
fof(f17014,plain,
( spl14_1330
| ~ spl14_52
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3885,f3839,f459,f17012]) ).
fof(f17012,plain,
( spl14_1330
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1330])]) ).
fof(f3839,plain,
( spl14_362
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_362])]) ).
fof(f3885,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_362 ),
inference(resolution,[],[f3840,f460]) ).
fof(f3840,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_362 ),
inference(avatar_component_clause,[],[f3839]) ).
fof(f17010,plain,
( spl14_1329
| ~ spl14_51
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3884,f3839,f455,f17008]) ).
fof(f17008,plain,
( spl14_1329
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1329])]) ).
fof(f3884,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) )
| ~ spl14_51
| ~ spl14_362 ),
inference(resolution,[],[f3840,f456]) ).
fof(f17006,plain,
( spl14_1328
| ~ spl14_50
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3883,f3839,f451,f17004]) ).
fof(f17004,plain,
( spl14_1328
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1328])]) ).
fof(f3883,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),X3,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)),k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k17_cat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_362 ),
inference(resolution,[],[f3840,f452]) ).
fof(f17002,plain,
( spl14_1327
| ~ spl14_49
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3882,f3839,f447,f17000]) ).
fof(f17000,plain,
( spl14_1327
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1327])]) ).
fof(f3882,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),X2,k11_cat_2(X1,X0),k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4),k11_cat_2(X2,k11_cat_2(X1,X0)),X3,k16_cat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)) )
| ~ spl14_49
| ~ spl14_362 ),
inference(resolution,[],[f3840,f448]) ).
fof(f16998,plain,
( spl14_1326
| ~ spl14_52
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3873,f3830,f459,f16996]) ).
fof(f16996,plain,
( spl14_1326
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1326])]) ).
fof(f3830,plain,
( spl14_360
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_360])]) ).
fof(f3873,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_360 ),
inference(resolution,[],[f3831,f460]) ).
fof(f3831,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_360 ),
inference(avatar_component_clause,[],[f3830]) ).
fof(f16994,plain,
( spl14_1325
| ~ spl14_51
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3872,f3830,f455,f16992]) ).
fof(f16992,plain,
( spl14_1325
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1325])]) ).
fof(f3872,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_51
| ~ spl14_360 ),
inference(resolution,[],[f3831,f456]) ).
fof(f16990,plain,
( spl14_1324
| ~ spl14_50
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3871,f3830,f451,f16988]) ).
fof(f16988,plain,
( spl14_1324
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1324])]) ).
fof(f3871,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X4,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))),X3,k11_cat_2(X4,k11_cat_2(X1,X0)),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_360 ),
inference(resolution,[],[f3831,f452]) ).
fof(f16986,plain,
( spl14_1323
| ~ spl14_49
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3870,f3830,f447,f16984]) ).
fof(f16984,plain,
( spl14_1323
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1323])]) ).
fof(f3870,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X3,k11_cat_2(X1,X0),k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4),X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k16_cat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_49
| ~ spl14_360 ),
inference(resolution,[],[f3831,f448]) ).
fof(f16966,plain,
( spl14_1322
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1316 ),
inference(avatar_split_clause,[],[f16798,f16690,f199,f194,f16963]) ).
fof(f16963,plain,
( spl14_1322
<=> k16_cat_2(sK0,k11_cat_2(sK0,sK0)) = k8_isocat_2(sK0,k11_cat_2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1322])]) ).
fof(f16798,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(sK0,k11_cat_2(sK0,sK0)) = k8_isocat_2(sK0,k11_cat_2(sK0,sK0))
| ~ spl14_2
| ~ spl14_1316 ),
inference(resolution,[],[f16691,f201]) ).
fof(f16712,plain,
( spl14_1321
| ~ spl14_52
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3611,f3437,f459,f16710]) ).
fof(f16710,plain,
( spl14_1321
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1321])]) ).
fof(f3437,plain,
( spl14_348
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_348])]) ).
fof(f3611,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_348 ),
inference(resolution,[],[f3438,f460]) ).
fof(f3438,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_348 ),
inference(avatar_component_clause,[],[f3437]) ).
fof(f16708,plain,
( spl14_1320
| ~ spl14_51
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3610,f3437,f455,f16706]) ).
fof(f16706,plain,
( spl14_1320
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1320])]) ).
fof(f3610,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_51
| ~ spl14_348 ),
inference(resolution,[],[f3438,f456]) ).
fof(f16704,plain,
( spl14_1319
| ~ spl14_50
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3609,f3437,f451,f16702]) ).
fof(f16702,plain,
( spl14_1319
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1319])]) ).
fof(f3609,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_348 ),
inference(resolution,[],[f3438,f452]) ).
fof(f16700,plain,
( spl14_1318
| ~ spl14_49
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3608,f3437,f447,f16698]) ).
fof(f16698,plain,
( spl14_1318
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1318])]) ).
fof(f3608,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_49
| ~ spl14_348 ),
inference(resolution,[],[f3438,f448]) ).
fof(f16696,plain,
( spl14_1317
| ~ spl14_52
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3599,f3433,f459,f16694]) ).
fof(f16694,plain,
( spl14_1317
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1317])]) ).
fof(f3433,plain,
( spl14_347
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_347])]) ).
fof(f3599,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_347 ),
inference(resolution,[],[f3434,f460]) ).
fof(f3434,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_347 ),
inference(avatar_component_clause,[],[f3433]) ).
fof(f16692,plain,
( spl14_1316
| ~ spl14_1
| ~ spl14_2
| ~ spl14_416 ),
inference(avatar_split_clause,[],[f4343,f4338,f199,f194,f16690]) ).
fof(f4343,plain,
( ! [X0] :
( ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK0,sK0)) = k8_isocat_2(X0,k11_cat_2(sK0,sK0))
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_416 ),
inference(resolution,[],[f4339,f201]) ).
fof(f16688,plain,
( spl14_1315
| ~ spl14_51
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3598,f3433,f455,f16686]) ).
fof(f16686,plain,
( spl14_1315
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1315])]) ).
fof(f3598,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_347 ),
inference(resolution,[],[f3434,f456]) ).
fof(f16684,plain,
( spl14_1314
| ~ spl14_50
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3597,f3433,f451,f16682]) ).
fof(f16682,plain,
( spl14_1314
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1314])]) ).
fof(f3597,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_347 ),
inference(resolution,[],[f3434,f452]) ).
fof(f16680,plain,
( spl14_1313
| ~ spl14_49
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3596,f3433,f447,f16678]) ).
fof(f16678,plain,
( spl14_1313
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1313])]) ).
fof(f3596,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_347 ),
inference(resolution,[],[f3434,f448]) ).
fof(f16676,plain,
( spl14_1312
| ~ spl14_52
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3587,f3429,f459,f16674]) ).
fof(f16674,plain,
( spl14_1312
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1312])]) ).
fof(f3429,plain,
( spl14_346
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_346])]) ).
fof(f3587,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_346 ),
inference(resolution,[],[f3430,f460]) ).
fof(f3430,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_346 ),
inference(avatar_component_clause,[],[f3429]) ).
fof(f16672,plain,
( spl14_1311
| ~ spl14_51
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3586,f3429,f455,f16670]) ).
fof(f16670,plain,
( spl14_1311
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1311])]) ).
fof(f3586,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_51
| ~ spl14_346 ),
inference(resolution,[],[f3430,f456]) ).
fof(f16668,plain,
( spl14_1310
| ~ spl14_50
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3585,f3429,f451,f16666]) ).
fof(f16666,plain,
( spl14_1310
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1310])]) ).
fof(f3585,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X4)))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_346 ),
inference(resolution,[],[f3430,f452]) ).
fof(f16664,plain,
( spl14_1309
| ~ spl14_49
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3584,f3429,f447,f16662]) ).
fof(f16662,plain,
( spl14_1309
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1309])]) ).
fof(f3584,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(X1,X0),X3,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_49
| ~ spl14_346 ),
inference(resolution,[],[f3430,f448]) ).
fof(f16660,plain,
( spl14_1308
| ~ spl14_52
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3575,f3425,f459,f16658]) ).
fof(f16658,plain,
( spl14_1308
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1308])]) ).
fof(f3425,plain,
( spl14_345
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_345])]) ).
fof(f3575,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k9_isocat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_345 ),
inference(resolution,[],[f3426,f460]) ).
fof(f3426,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_345 ),
inference(avatar_component_clause,[],[f3425]) ).
fof(f16656,plain,
( spl14_1307
| ~ spl14_51
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3574,f3425,f455,f16654]) ).
fof(f16654,plain,
( spl14_1307
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1307])]) ).
fof(f3574,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_345 ),
inference(resolution,[],[f3426,f456]) ).
fof(f16652,plain,
( spl14_1306
| ~ spl14_50
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3573,f3425,f451,f16650]) ).
fof(f16650,plain,
( spl14_1306
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1306])]) ).
fof(f3573,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))),X4,k11_cat_2(X1,X0),k17_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X4,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_345 ),
inference(resolution,[],[f3426,f452]) ).
fof(f16647,plain,
( spl14_1305
| ~ spl14_49
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3572,f3425,f447,f16645]) ).
fof(f16645,plain,
( spl14_1305
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1305])]) ).
fof(f3572,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X1,X0),X5,k12_isocat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X3,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_345 ),
inference(resolution,[],[f3426,f448]) ).
fof(f16515,plain,
( spl14_1304
| ~ spl14_58
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3958,f3863,f501,f16513]) ).
fof(f16513,plain,
( spl14_1304
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1304])]) ).
fof(f501,plain,
( spl14_58
<=> ! [X4,X0,X3,X2,X1] :
( m2_cat_1(k2_isocat_1(X0,X1,X2,X3,X4),X0,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
fof(f3958,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_368 ),
inference(duplicate_literal_removal,[],[f3953]) ).
fof(f3953,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_368 ),
inference(resolution,[],[f3864,f502]) ).
fof(f502,plain,
( ! [X2,X3,X0,X1,X4] :
( m2_cat_1(k2_isocat_1(X0,X1,X2,X3,X4),X0,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f16511,plain,
( spl14_1303
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1295 ),
inference(avatar_split_clause,[],[f16427,f16259,f199,f194,f16508]) ).
fof(f16508,plain,
( spl14_1303
<=> k17_cat_2(k11_cat_2(sK0,sK2),sK2) = k9_isocat_2(k11_cat_2(sK0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1303])]) ).
fof(f16259,plain,
( spl14_1295
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK2),sK2) = k9_isocat_2(k11_cat_2(X0,sK2),sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1295])]) ).
fof(f16427,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(k11_cat_2(sK0,sK2),sK2) = k9_isocat_2(k11_cat_2(sK0,sK2),sK2)
| ~ spl14_2
| ~ spl14_1295 ),
inference(resolution,[],[f16260,f201]) ).
fof(f16260,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK2),sK2) = k9_isocat_2(k11_cat_2(X0,sK2),sK2) )
| ~ spl14_1295 ),
inference(avatar_component_clause,[],[f16259]) ).
fof(f16506,plain,
( spl14_1302
| ~ spl14_58
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3946,f3859,f501,f16504]) ).
fof(f16504,plain,
( spl14_1302
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1302])]) ).
fof(f3946,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_367 ),
inference(duplicate_literal_removal,[],[f3941]) ).
fof(f3941,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_367 ),
inference(resolution,[],[f3860,f502]) ).
fof(f16502,plain,
( spl14_1301
| ~ spl14_58
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3934,f3855,f501,f16500]) ).
fof(f16500,plain,
( spl14_1301
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1301])]) ).
fof(f3934,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_366 ),
inference(duplicate_literal_removal,[],[f3929]) ).
fof(f3929,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_366 ),
inference(resolution,[],[f3856,f502]) ).
fof(f16498,plain,
( spl14_1300
| ~ spl14_58
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3922,f3851,f501,f16496]) ).
fof(f16496,plain,
( spl14_1300
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1300])]) ).
fof(f3922,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_365 ),
inference(duplicate_literal_removal,[],[f3917]) ).
fof(f3917,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_365 ),
inference(resolution,[],[f3852,f502]) ).
fof(f16494,plain,
( spl14_1299
| ~ spl14_58
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3910,f3847,f501,f16492]) ).
fof(f16492,plain,
( spl14_1299
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1299])]) ).
fof(f3910,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_364 ),
inference(duplicate_literal_removal,[],[f3905]) ).
fof(f3905,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_364 ),
inference(resolution,[],[f3848,f502]) ).
fof(f16490,plain,
( spl14_1298
| ~ spl14_58
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3898,f3843,f501,f16488]) ).
fof(f16488,plain,
( spl14_1298
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1298])]) ).
fof(f3898,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_363 ),
inference(duplicate_literal_removal,[],[f3893]) ).
fof(f3893,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_363 ),
inference(resolution,[],[f3844,f502]) ).
fof(f16486,plain,
( spl14_1297
| ~ spl14_58
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3886,f3839,f501,f16484]) ).
fof(f16484,plain,
( spl14_1297
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1297])]) ).
fof(f3886,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_362 ),
inference(duplicate_literal_removal,[],[f3881]) ).
fof(f3881,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k2_isocat_1(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_362 ),
inference(resolution,[],[f3840,f502]) ).
fof(f16482,plain,
( spl14_1296
| ~ spl14_58
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3874,f3830,f501,f16480]) ).
fof(f16480,plain,
( spl14_1296
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1296])]) ).
fof(f3874,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_360 ),
inference(duplicate_literal_removal,[],[f3869]) ).
fof(f3869,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k2_isocat_1(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_360 ),
inference(resolution,[],[f3831,f502]) ).
fof(f16261,plain,
( ~ spl14_5
| spl14_1295
| ~ spl14_6
| ~ spl14_415 ),
inference(avatar_split_clause,[],[f4335,f4296,f219,f16259,f214]) ).
fof(f4296,plain,
( spl14_415
<=> ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK2) = k9_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_415])]) ).
fof(f4335,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK2),sK2) = k9_isocat_2(k11_cat_2(X0,sK2),sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_415 ),
inference(resolution,[],[f4297,f221]) ).
fof(f4297,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k17_cat_2(k11_cat_2(X0,X1),sK2) = k9_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_415 ),
inference(avatar_component_clause,[],[f4296]) ).
fof(f16209,plain,
( spl14_1294
| ~ spl14_52
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3314,f3262,f459,f16207]) ).
fof(f16207,plain,
( spl14_1294
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1294])]) ).
fof(f3262,plain,
( spl14_328
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X3,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_328])]) ).
fof(f3314,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_328 ),
inference(resolution,[],[f3263,f460]) ).
fof(f3263,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X3,X4),X5))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4)) )
| ~ spl14_328 ),
inference(avatar_component_clause,[],[f3262]) ).
fof(f16205,plain,
( spl14_1293
| ~ spl14_51
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3313,f3262,f455,f16203]) ).
fof(f16203,plain,
( spl14_1293
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1293])]) ).
fof(f3313,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_51
| ~ spl14_328 ),
inference(resolution,[],[f3263,f456]) ).
fof(f16201,plain,
( spl14_1292
| ~ spl14_50
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3312,f3262,f451,f16199]) ).
fof(f16199,plain,
( spl14_1292
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1292])]) ).
fof(f3312,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),X0,X2,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)),k11_cat_2(X0,X2),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X0,X2),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_328 ),
inference(resolution,[],[f3263,f452]) ).
fof(f16197,plain,
( spl14_1291
| ~ spl14_49
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3311,f3262,f447,f16195]) ).
fof(f16195,plain,
( spl14_1291
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1291])]) ).
fof(f3311,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),X0,X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_49
| ~ spl14_328 ),
inference(resolution,[],[f3263,f448]) ).
fof(f16193,plain,
( spl14_1290
| ~ spl14_52
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3302,f3258,f459,f16191]) ).
fof(f16191,plain,
( spl14_1290
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3)))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1290])]) ).
fof(f3258,plain,
( spl14_327
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X3,X4)))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_327])]) ).
fof(f3302,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3)))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_327 ),
inference(resolution,[],[f3259,f460]) ).
fof(f3259,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_327 ),
inference(avatar_component_clause,[],[f3258]) ).
fof(f16189,plain,
( spl14_1289
| ~ spl14_51
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3301,f3258,f455,f16187]) ).
fof(f16187,plain,
( spl14_1289
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1289])]) ).
fof(f3301,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) )
| ~ spl14_51
| ~ spl14_327 ),
inference(resolution,[],[f3259,f456]) ).
fof(f16185,plain,
( spl14_1288
| ~ spl14_50
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3300,f3258,f451,f16183]) ).
fof(f16183,plain,
( spl14_1288
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3)))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1288])]) ).
fof(f3300,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3)))))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X0,X3,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))),X2,k11_cat_2(X0,X3),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X0,X3))))
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_327 ),
inference(resolution,[],[f3259,f452]) ).
fof(f16180,plain,
( spl14_1287
| ~ spl14_49
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3299,f3258,f447,f16178]) ).
fof(f16178,plain,
( spl14_1287
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1287])]) ).
fof(f3299,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3)))) = k5_relat_1(X5,k11_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X0,X2,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),X1,k11_cat_2(X0,X2),k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) )
| ~ spl14_49
| ~ spl14_327 ),
inference(resolution,[],[f3259,f448]) ).
fof(f16176,plain,
( spl14_1286
| ~ spl14_52
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3290,f3254,f459,f16174]) ).
fof(f16174,plain,
( spl14_1286
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1286])]) ).
fof(f3254,plain,
( spl14_326
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,X3),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_326])]) ).
fof(f3290,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k9_isocat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_326 ),
inference(resolution,[],[f3255,f460]) ).
fof(f3255,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,X3),X5))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3)) )
| ~ spl14_326 ),
inference(avatar_component_clause,[],[f3254]) ).
fof(f16172,plain,
( spl14_1285
| ~ spl14_51
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3289,f3254,f455,f16170]) ).
fof(f16170,plain,
( spl14_1285
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1285])]) ).
fof(f3289,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_326 ),
inference(resolution,[],[f3255,f456]) ).
fof(f16168,plain,
( spl14_1284
| ~ spl14_50
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3288,f3254,f451,f16166]) ).
fof(f16166,plain,
( spl14_1284
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1284])]) ).
fof(f3288,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),X2,X0,k11_isocat_2(k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)),k11_cat_2(X2,X0),X3,k17_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(k11_cat_2(X2,X0),X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X0),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_326 ),
inference(resolution,[],[f3255,f452]) ).
fof(f16164,plain,
( spl14_1283
| ~ spl14_49
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3287,f3254,f447,f16162]) ).
fof(f16162,plain,
( spl14_1283
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1283])]) ).
fof(f3287,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_326 ),
inference(resolution,[],[f3255,f448]) ).
fof(f16160,plain,
( spl14_1282
| ~ spl14_52
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3272,f3250,f459,f16158]) ).
fof(f16158,plain,
( spl14_1282
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0)))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1282])]) ).
fof(f3250,plain,
( spl14_325
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,X3)))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_325])]) ).
fof(f3272,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0)))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k9_isocat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_325 ),
inference(resolution,[],[f3251,f460]) ).
fof(f3251,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,X3)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_325 ),
inference(avatar_component_clause,[],[f3250]) ).
fof(f16156,plain,
( spl14_1281
| ~ spl14_51
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3271,f3250,f455,f16154]) ).
fof(f16154,plain,
( spl14_1281
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1281])]) ).
fof(f3271,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) )
| ~ spl14_51
| ~ spl14_325 ),
inference(resolution,[],[f3251,f456]) ).
fof(f16152,plain,
( spl14_1280
| ~ spl14_50
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3270,f3250,f451,f16150]) ).
fof(f16150,plain,
( spl14_1280
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0)))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1280])]) ).
fof(f3270,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X0,X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0)))))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X3,X0,k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))),X2,k11_cat_2(X3,X0),k17_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X4,k11_cat_2(X1,k11_cat_2(X2,k11_cat_2(X3,X0))))
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_325 ),
inference(resolution,[],[f3251,f452]) ).
fof(f16148,plain,
( spl14_1279
| ~ spl14_49
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3269,f3250,f447,f16146]) ).
fof(f16146,plain,
( spl14_1279
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1279])]) ).
fof(f3269,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| k2_isocat_1(X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X0,X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3)))) = k5_relat_1(X5,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X2,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),X1,k11_cat_2(X2,X0),k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X4,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) )
| ~ spl14_49
| ~ spl14_325 ),
inference(resolution,[],[f3251,f448]) ).
fof(f16128,plain,
( spl14_1278
| ~ spl14_5
| ~ spl14_6
| ~ spl14_1267 ),
inference(avatar_split_clause,[],[f15696,f15638,f219,f214,f16125]) ).
fof(f16125,plain,
( spl14_1278
<=> k17_cat_2(k11_cat_2(sK2,sK1),sK2) = k9_isocat_2(k11_cat_2(sK2,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1278])]) ).
fof(f15638,plain,
( spl14_1267
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK1),sK2) = k9_isocat_2(k11_cat_2(X0,sK1),sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1267])]) ).
fof(f15696,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(k11_cat_2(sK2,sK1),sK2) = k9_isocat_2(k11_cat_2(sK2,sK1),sK2)
| ~ spl14_6
| ~ spl14_1267 ),
inference(resolution,[],[f15639,f221]) ).
fof(f15639,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK1),sK2) = k9_isocat_2(k11_cat_2(X0,sK1),sK2) )
| ~ spl14_1267 ),
inference(avatar_component_clause,[],[f15638]) ).
fof(f15822,plain,
( spl14_1277
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1267 ),
inference(avatar_split_clause,[],[f15694,f15638,f199,f194,f15819]) ).
fof(f15819,plain,
( spl14_1277
<=> k17_cat_2(k11_cat_2(sK0,sK1),sK2) = k9_isocat_2(k11_cat_2(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1277])]) ).
fof(f15694,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(k11_cat_2(sK0,sK1),sK2) = k9_isocat_2(k11_cat_2(sK0,sK1),sK2)
| ~ spl14_2
| ~ spl14_1267 ),
inference(resolution,[],[f15639,f201]) ).
fof(f15676,plain,
( spl14_1276
| ~ spl14_49
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4042,f3975,f447,f15674]) ).
fof(f15674,plain,
( spl14_1276
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1276])]) ).
fof(f3975,plain,
( spl14_372
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_372])]) ).
fof(f4042,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_49
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4035]) ).
fof(f4035,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_49
| ~ spl14_372 ),
inference(resolution,[],[f3976,f448]) ).
fof(f3976,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_372 ),
inference(avatar_component_clause,[],[f3975]) ).
fof(f15672,plain,
( spl14_1275
| ~ spl14_50
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4041,f3975,f451,f15670]) ).
fof(f15670,plain,
( spl14_1275
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1275])]) ).
fof(f4041,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4036]) ).
fof(f4036,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_372 ),
inference(resolution,[],[f3976,f452]) ).
fof(f15668,plain,
( spl14_1274
| ~ spl14_51
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4040,f3975,f455,f15666]) ).
fof(f15666,plain,
( spl14_1274
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1274])]) ).
fof(f4040,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_51
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4037]) ).
fof(f4037,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_51
| ~ spl14_372 ),
inference(resolution,[],[f3976,f456]) ).
fof(f15664,plain,
( spl14_1273
| ~ spl14_52
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4039,f3975,f459,f15662]) ).
fof(f15662,plain,
( spl14_1273
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1273])]) ).
fof(f4039,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4038]) ).
fof(f4038,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_372 ),
inference(resolution,[],[f3976,f460]) ).
fof(f15660,plain,
( spl14_1272
| ~ spl14_49
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4026,f3971,f447,f15658]) ).
fof(f15658,plain,
( spl14_1272
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1272])]) ).
fof(f3971,plain,
( spl14_371
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_371])]) ).
fof(f4026,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_49
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4019]) ).
fof(f4019,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_371 ),
inference(resolution,[],[f3972,f448]) ).
fof(f3972,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_371 ),
inference(avatar_component_clause,[],[f3971]) ).
fof(f15656,plain,
( spl14_1271
| ~ spl14_50
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4025,f3971,f451,f15654]) ).
fof(f15654,plain,
( spl14_1271
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1271])]) ).
fof(f4025,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4020]) ).
fof(f4020,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_371 ),
inference(resolution,[],[f3972,f452]) ).
fof(f15652,plain,
( spl14_1270
| ~ spl14_51
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4024,f3971,f455,f15650]) ).
fof(f15650,plain,
( spl14_1270
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1270])]) ).
fof(f4024,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_51
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4021]) ).
fof(f4021,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_371 ),
inference(resolution,[],[f3972,f456]) ).
fof(f15648,plain,
( spl14_1269
| ~ spl14_52
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4023,f3971,f459,f15646]) ).
fof(f15646,plain,
( spl14_1269
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1269])]) ).
fof(f4023,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4022]) ).
fof(f4022,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_371 ),
inference(resolution,[],[f3972,f460]) ).
fof(f15644,plain,
( spl14_1268
| ~ spl14_49
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4010,f3967,f447,f15642]) ).
fof(f15642,plain,
( spl14_1268
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1268])]) ).
fof(f3967,plain,
( spl14_370
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_370])]) ).
fof(f4010,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_49
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f4003]) ).
fof(f4003,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_49
| ~ spl14_370 ),
inference(resolution,[],[f3968,f448]) ).
fof(f3968,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_370 ),
inference(avatar_component_clause,[],[f3967]) ).
fof(f15640,plain,
( ~ spl14_3
| spl14_1267
| ~ spl14_4
| ~ spl14_415 ),
inference(avatar_split_clause,[],[f4334,f4296,f209,f15638,f204]) ).
fof(f4334,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK1),sK2) = k9_isocat_2(k11_cat_2(X0,sK1),sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_415 ),
inference(resolution,[],[f4297,f211]) ).
fof(f15636,plain,
( spl14_1266
| ~ spl14_50
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4009,f3967,f451,f15634]) ).
fof(f15634,plain,
( spl14_1266
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1266])]) ).
fof(f4009,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f4004]) ).
fof(f4004,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k17_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_370 ),
inference(resolution,[],[f3968,f452]) ).
fof(f15632,plain,
( spl14_1265
| ~ spl14_51
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4008,f3967,f455,f15630]) ).
fof(f15630,plain,
( spl14_1265
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1265])]) ).
fof(f4008,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_51
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f4005]) ).
fof(f4005,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_51
| ~ spl14_370 ),
inference(resolution,[],[f3968,f456]) ).
fof(f15628,plain,
( spl14_1264
| ~ spl14_52
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4007,f3967,f459,f15626]) ).
fof(f15626,plain,
( spl14_1264
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1264])]) ).
fof(f4007,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f4006]) ).
fof(f4006,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),X5,k9_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_370 ),
inference(resolution,[],[f3968,f460]) ).
fof(f15624,plain,
( spl14_1263
| ~ spl14_49
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3989,f3963,f447,f15622]) ).
fof(f15622,plain,
( spl14_1263
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1263])]) ).
fof(f3963,plain,
( spl14_369
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_369])]) ).
fof(f3989,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_49
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3982]) ).
fof(f3982,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k16_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_369 ),
inference(resolution,[],[f3964,f448]) ).
fof(f3964,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_369 ),
inference(avatar_component_clause,[],[f3963]) ).
fof(f15620,plain,
( spl14_1262
| ~ spl14_50
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3988,f3963,f451,f15618]) ).
fof(f15618,plain,
( spl14_1262
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1262])]) ).
fof(f3988,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3983]) ).
fof(f3983,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k17_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_369 ),
inference(resolution,[],[f3964,f452]) ).
fof(f15616,plain,
( spl14_1261
| ~ spl14_51
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3987,f3963,f455,f15614]) ).
fof(f15614,plain,
( spl14_1261
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1261])]) ).
fof(f3987,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_51
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3984]) ).
fof(f3984,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k8_isocat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_369 ),
inference(resolution,[],[f3964,f456]) ).
fof(f15612,plain,
( spl14_1260
| ~ spl14_52
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3986,f3963,f459,f15610]) ).
fof(f15610,plain,
( spl14_1260
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1260])]) ).
fof(f3986,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3985]) ).
fof(f3985,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k9_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_369 ),
inference(resolution,[],[f3964,f460]) ).
fof(f15608,plain,
( spl14_1259
| ~ spl14_56
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3960,f3863,f488,f15606]) ).
fof(f15606,plain,
( spl14_1259
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1259])]) ).
fof(f488,plain,
( spl14_56
<=> ! [X0,X3,X2,X1] :
( m2_cat_1(k11_isocat_2(X0,X1,X2,X3),X0,X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
fof(f3960,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) )
| ~ spl14_56
| ~ spl14_368 ),
inference(duplicate_literal_removal,[],[f3951]) ).
fof(f3951,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_368 ),
inference(resolution,[],[f3864,f489]) ).
fof(f489,plain,
( ! [X2,X3,X0,X1] :
( m2_cat_1(k11_isocat_2(X0,X1,X2,X3),X0,X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f15604,plain,
( spl14_1258
| ~ spl14_57
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3959,f3863,f492,f15602]) ).
fof(f15602,plain,
( spl14_1258
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1258])]) ).
fof(f492,plain,
( spl14_57
<=> ! [X0,X3,X2,X1] :
( m2_cat_1(k12_isocat_2(X0,X1,X2,X3),X0,X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
fof(f3959,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_368 ),
inference(duplicate_literal_removal,[],[f3952]) ).
fof(f3952,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_368 ),
inference(resolution,[],[f3864,f493]) ).
fof(f493,plain,
( ! [X2,X3,X0,X1] :
( m2_cat_1(k12_isocat_2(X0,X1,X2,X3),X0,X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f15600,plain,
( spl14_1257
| ~ spl14_56
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3948,f3859,f488,f15598]) ).
fof(f15598,plain,
( spl14_1257
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1257])]) ).
fof(f3948,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_56
| ~ spl14_367 ),
inference(duplicate_literal_removal,[],[f3939]) ).
fof(f3939,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_367 ),
inference(resolution,[],[f3860,f489]) ).
fof(f15595,plain,
( spl14_1256
| ~ spl14_57
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3947,f3859,f492,f15593]) ).
fof(f15593,plain,
( spl14_1256
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1256])]) ).
fof(f3947,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_367 ),
inference(duplicate_literal_removal,[],[f3940]) ).
fof(f3940,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_367 ),
inference(resolution,[],[f3860,f493]) ).
fof(f15591,plain,
( spl14_1255
| ~ spl14_56
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3936,f3855,f488,f15589]) ).
fof(f15589,plain,
( spl14_1255
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1255])]) ).
fof(f3936,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) )
| ~ spl14_56
| ~ spl14_366 ),
inference(duplicate_literal_removal,[],[f3927]) ).
fof(f3927,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_366 ),
inference(resolution,[],[f3856,f489]) ).
fof(f15587,plain,
( spl14_1254
| ~ spl14_57
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3935,f3855,f492,f15585]) ).
fof(f15585,plain,
( spl14_1254
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1254])]) ).
fof(f3935,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_366 ),
inference(duplicate_literal_removal,[],[f3928]) ).
fof(f3928,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_366 ),
inference(resolution,[],[f3856,f493]) ).
fof(f15583,plain,
( spl14_1253
| ~ spl14_56
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3924,f3851,f488,f15581]) ).
fof(f15581,plain,
( spl14_1253
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1253])]) ).
fof(f3924,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_56
| ~ spl14_365 ),
inference(duplicate_literal_removal,[],[f3915]) ).
fof(f3915,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_365 ),
inference(resolution,[],[f3852,f489]) ).
fof(f15579,plain,
( spl14_1252
| ~ spl14_57
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3923,f3851,f492,f15577]) ).
fof(f15577,plain,
( spl14_1252
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1252])]) ).
fof(f3923,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_365 ),
inference(duplicate_literal_removal,[],[f3916]) ).
fof(f3916,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_365 ),
inference(resolution,[],[f3852,f493]) ).
fof(f15575,plain,
( spl14_1251
| ~ spl14_56
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3912,f3847,f488,f15573]) ).
fof(f15573,plain,
( spl14_1251
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1251])]) ).
fof(f3912,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) )
| ~ spl14_56
| ~ spl14_364 ),
inference(duplicate_literal_removal,[],[f3903]) ).
fof(f3903,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_364 ),
inference(resolution,[],[f3848,f489]) ).
fof(f15571,plain,
( spl14_1250
| ~ spl14_57
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3911,f3847,f492,f15569]) ).
fof(f15569,plain,
( spl14_1250
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1250])]) ).
fof(f3911,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_364 ),
inference(duplicate_literal_removal,[],[f3904]) ).
fof(f3904,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_364 ),
inference(resolution,[],[f3848,f493]) ).
fof(f15567,plain,
( spl14_1249
| ~ spl14_56
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3900,f3843,f488,f15565]) ).
fof(f15565,plain,
( spl14_1249
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1249])]) ).
fof(f3900,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_56
| ~ spl14_363 ),
inference(duplicate_literal_removal,[],[f3891]) ).
fof(f3891,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_363 ),
inference(resolution,[],[f3844,f489]) ).
fof(f15563,plain,
( spl14_1248
| ~ spl14_57
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3899,f3843,f492,f15561]) ).
fof(f15561,plain,
( spl14_1248
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1248])]) ).
fof(f3899,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_363 ),
inference(duplicate_literal_removal,[],[f3892]) ).
fof(f3892,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_363 ),
inference(resolution,[],[f3844,f493]) ).
fof(f15559,plain,
( spl14_1247
| ~ spl14_56
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3888,f3839,f488,f15557]) ).
fof(f15557,plain,
( spl14_1247
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1247])]) ).
fof(f3888,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) )
| ~ spl14_56
| ~ spl14_362 ),
inference(duplicate_literal_removal,[],[f3879]) ).
fof(f3879,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_362 ),
inference(resolution,[],[f3840,f489]) ).
fof(f15555,plain,
( spl14_1246
| ~ spl14_5
| ~ spl14_6
| ~ spl14_1236 ),
inference(avatar_split_clause,[],[f15477,f15437,f219,f214,f15552]) ).
fof(f15552,plain,
( spl14_1246
<=> k17_cat_2(k11_cat_2(sK2,sK0),sK2) = k9_isocat_2(k11_cat_2(sK2,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1246])]) ).
fof(f15437,plain,
( spl14_1236
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK0),sK2) = k9_isocat_2(k11_cat_2(X0,sK0),sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1236])]) ).
fof(f15477,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(k11_cat_2(sK2,sK0),sK2) = k9_isocat_2(k11_cat_2(sK2,sK0),sK2)
| ~ spl14_6
| ~ spl14_1236 ),
inference(resolution,[],[f15438,f221]) ).
fof(f15438,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK0),sK2) = k9_isocat_2(k11_cat_2(X0,sK0),sK2) )
| ~ spl14_1236 ),
inference(avatar_component_clause,[],[f15437]) ).
fof(f15550,plain,
( spl14_1245
| ~ spl14_57
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3887,f3839,f492,f15548]) ).
fof(f15548,plain,
( spl14_1245
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1245])]) ).
fof(f3887,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_362 ),
inference(duplicate_literal_removal,[],[f3880]) ).
fof(f3880,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,k12_isocat_2(X2,X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_362 ),
inference(resolution,[],[f3840,f493]) ).
fof(f15546,plain,
( spl14_1244
| ~ spl14_56
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3876,f3830,f488,f15544]) ).
fof(f15544,plain,
( spl14_1244
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1244])]) ).
fof(f3876,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_56
| ~ spl14_360 ),
inference(duplicate_literal_removal,[],[f3867]) ).
fof(f3867,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_isocat_2(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5,X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_360 ),
inference(resolution,[],[f3831,f489]) ).
fof(f15542,plain,
( spl14_1243
| ~ spl14_57
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3875,f3830,f492,f15540]) ).
fof(f15540,plain,
( spl14_1243
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1243])]) ).
fof(f3875,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_360 ),
inference(duplicate_literal_removal,[],[f3868]) ).
fof(f3868,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),k12_isocat_2(X2,X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))),X6))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_360 ),
inference(resolution,[],[f3831,f493]) ).
fof(f15503,plain,
( spl14_1242
| ~ spl14_3
| ~ spl14_4
| ~ spl14_1236 ),
inference(avatar_split_clause,[],[f15476,f15437,f209,f204,f15500]) ).
fof(f15500,plain,
( spl14_1242
<=> k17_cat_2(k11_cat_2(sK1,sK0),sK2) = k9_isocat_2(k11_cat_2(sK1,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1242])]) ).
fof(f15476,plain,
( ~ v2_cat_1(sK1)
| k17_cat_2(k11_cat_2(sK1,sK0),sK2) = k9_isocat_2(k11_cat_2(sK1,sK0),sK2)
| ~ spl14_4
| ~ spl14_1236 ),
inference(resolution,[],[f15438,f211]) ).
fof(f15459,plain,
( spl14_1241
| ~ spl14_49
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3824,f3698,f447,f15457]) ).
fof(f15457,plain,
( spl14_1241
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1241])]) ).
fof(f3698,plain,
( spl14_359
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_359])]) ).
fof(f3824,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3817]) ).
fof(f3817,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_359 ),
inference(resolution,[],[f3699,f448]) ).
fof(f3699,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_359 ),
inference(avatar_component_clause,[],[f3698]) ).
fof(f15455,plain,
( spl14_1240
| ~ spl14_50
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3823,f3698,f451,f15453]) ).
fof(f15453,plain,
( spl14_1240
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1240])]) ).
fof(f3823,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3818]) ).
fof(f3818,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_359 ),
inference(resolution,[],[f3699,f452]) ).
fof(f15451,plain,
( spl14_1239
| ~ spl14_51
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3822,f3698,f455,f15449]) ).
fof(f15449,plain,
( spl14_1239
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1239])]) ).
fof(f3822,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3819]) ).
fof(f3819,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_359 ),
inference(resolution,[],[f3699,f456]) ).
fof(f15447,plain,
( spl14_1238
| ~ spl14_52
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3821,f3698,f459,f15445]) ).
fof(f15445,plain,
( spl14_1238
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1238])]) ).
fof(f3821,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3820]) ).
fof(f3820,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_359 ),
inference(resolution,[],[f3699,f460]) ).
fof(f15443,plain,
( spl14_1237
| ~ spl14_49
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3808,f3694,f447,f15441]) ).
fof(f15441,plain,
( spl14_1237
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1237])]) ).
fof(f3694,plain,
( spl14_358
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_358])]) ).
fof(f3808,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3801]) ).
fof(f3801,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_358 ),
inference(resolution,[],[f3695,f448]) ).
fof(f3695,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_358 ),
inference(avatar_component_clause,[],[f3694]) ).
fof(f15439,plain,
( ~ spl14_1
| spl14_1236
| ~ spl14_2
| ~ spl14_415 ),
inference(avatar_split_clause,[],[f4333,f4296,f199,f15437,f194]) ).
fof(f4333,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK0),sK2) = k9_isocat_2(k11_cat_2(X0,sK0),sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_415 ),
inference(resolution,[],[f4297,f201]) ).
fof(f15435,plain,
( spl14_1235
| ~ spl14_50
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3807,f3694,f451,f15433]) ).
fof(f15433,plain,
( spl14_1235
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1235])]) ).
fof(f3807,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3802]) ).
fof(f3802,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_358 ),
inference(resolution,[],[f3695,f452]) ).
fof(f15431,plain,
( spl14_1234
| ~ spl14_51
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3806,f3694,f455,f15429]) ).
fof(f15429,plain,
( spl14_1234
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1234])]) ).
fof(f3806,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3803]) ).
fof(f3803,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_358 ),
inference(resolution,[],[f3695,f456]) ).
fof(f15427,plain,
( spl14_1233
| ~ spl14_52
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3805,f3694,f459,f15425]) ).
fof(f15425,plain,
( spl14_1233
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1233])]) ).
fof(f3805,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3804]) ).
fof(f3804,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_358 ),
inference(resolution,[],[f3695,f460]) ).
fof(f15423,plain,
( spl14_1232
| ~ spl14_49
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3792,f3690,f447,f15421]) ).
fof(f15421,plain,
( spl14_1232
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1232])]) ).
fof(f3690,plain,
( spl14_357
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_357])]) ).
fof(f3792,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3785]) ).
fof(f3785,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_357 ),
inference(resolution,[],[f3691,f448]) ).
fof(f3691,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_357 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f15419,plain,
( spl14_1231
| ~ spl14_50
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3791,f3690,f451,f15417]) ).
fof(f15417,plain,
( spl14_1231
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1231])]) ).
fof(f3791,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3786]) ).
fof(f3786,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_357 ),
inference(resolution,[],[f3691,f452]) ).
fof(f15415,plain,
( spl14_1230
| ~ spl14_51
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3790,f3690,f455,f15413]) ).
fof(f15413,plain,
( spl14_1230
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1230])]) ).
fof(f3790,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3787]) ).
fof(f3787,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_357 ),
inference(resolution,[],[f3691,f456]) ).
fof(f15411,plain,
( spl14_1229
| ~ spl14_52
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3789,f3690,f459,f15409]) ).
fof(f15409,plain,
( spl14_1229
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1229])]) ).
fof(f3789,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3788]) ).
fof(f3788,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_357 ),
inference(resolution,[],[f3691,f460]) ).
fof(f15407,plain,
( spl14_1228
| ~ spl14_49
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3776,f3686,f447,f15405]) ).
fof(f15405,plain,
( spl14_1228
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1228])]) ).
fof(f3686,plain,
( spl14_356
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_356])]) ).
fof(f3776,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3769]) ).
fof(f3769,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_356 ),
inference(resolution,[],[f3687,f448]) ).
fof(f3687,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_356 ),
inference(avatar_component_clause,[],[f3686]) ).
fof(f15403,plain,
( spl14_1227
| ~ spl14_50
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3775,f3686,f451,f15401]) ).
fof(f15401,plain,
( spl14_1227
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1227])]) ).
fof(f3775,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3770]) ).
fof(f3770,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_356 ),
inference(resolution,[],[f3687,f452]) ).
fof(f15399,plain,
( spl14_1226
| ~ spl14_51
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3774,f3686,f455,f15397]) ).
fof(f15397,plain,
( spl14_1226
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1226])]) ).
fof(f3774,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3771]) ).
fof(f3771,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_356 ),
inference(resolution,[],[f3687,f456]) ).
fof(f15394,plain,
( spl14_1225
| ~ spl14_52
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3773,f3686,f459,f15392]) ).
fof(f15392,plain,
( spl14_1225
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1225])]) ).
fof(f3773,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3772]) ).
fof(f3772,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_356 ),
inference(resolution,[],[f3687,f460]) ).
fof(f15390,plain,
( spl14_1224
| ~ spl14_49
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3760,f3682,f447,f15388]) ).
fof(f15388,plain,
( spl14_1224
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1224])]) ).
fof(f3682,plain,
( spl14_355
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_355])]) ).
fof(f3760,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3753]) ).
fof(f3753,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_355 ),
inference(resolution,[],[f3683,f448]) ).
fof(f3683,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_355 ),
inference(avatar_component_clause,[],[f3682]) ).
fof(f15386,plain,
( spl14_1223
| ~ spl14_50
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3759,f3682,f451,f15384]) ).
fof(f15384,plain,
( spl14_1223
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1223])]) ).
fof(f3759,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3754]) ).
fof(f3754,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_355 ),
inference(resolution,[],[f3683,f452]) ).
fof(f15382,plain,
( spl14_1222
| ~ spl14_51
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3758,f3682,f455,f15380]) ).
fof(f15380,plain,
( spl14_1222
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1222])]) ).
fof(f3758,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3755]) ).
fof(f3755,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k16_cat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_355 ),
inference(resolution,[],[f3683,f456]) ).
fof(f15378,plain,
( spl14_1221
| ~ spl14_52
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3757,f3682,f459,f15376]) ).
fof(f15376,plain,
( spl14_1221
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1221])]) ).
fof(f3757,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3756]) ).
fof(f3756,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_355 ),
inference(resolution,[],[f3683,f460]) ).
fof(f15374,plain,
( spl14_1220
| ~ spl14_49
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3744,f3678,f447,f15372]) ).
fof(f15372,plain,
( spl14_1220
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1220])]) ).
fof(f3678,plain,
( spl14_354
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_354])]) ).
fof(f3744,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3737]) ).
fof(f3737,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_354 ),
inference(resolution,[],[f3679,f448]) ).
fof(f3679,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_354 ),
inference(avatar_component_clause,[],[f3678]) ).
fof(f15370,plain,
( spl14_1219
| ~ spl14_50
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3743,f3678,f451,f15368]) ).
fof(f15368,plain,
( spl14_1219
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1219])]) ).
fof(f3743,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3738]) ).
fof(f3738,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_354 ),
inference(resolution,[],[f3679,f452]) ).
fof(f15366,plain,
( spl14_1218
| ~ spl14_51
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3742,f3678,f455,f15364]) ).
fof(f15364,plain,
( spl14_1218
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1218])]) ).
fof(f3742,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3739]) ).
fof(f3739,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k17_cat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_354 ),
inference(resolution,[],[f3679,f456]) ).
fof(f15362,plain,
( spl14_1217
| ~ spl14_52
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3741,f3678,f459,f15360]) ).
fof(f15360,plain,
( spl14_1217
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1217])]) ).
fof(f3741,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3740]) ).
fof(f3740,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_354 ),
inference(resolution,[],[f3679,f460]) ).
fof(f15358,plain,
( spl14_1216
| ~ spl14_49
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3728,f3674,f447,f15356]) ).
fof(f15356,plain,
( spl14_1216
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1216])]) ).
fof(f3674,plain,
( spl14_353
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_353])]) ).
fof(f3728,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3721]) ).
fof(f3721,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_353 ),
inference(resolution,[],[f3675,f448]) ).
fof(f3675,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_353 ),
inference(avatar_component_clause,[],[f3674]) ).
fof(f15354,plain,
( spl14_1215
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1203 ),
inference(avatar_split_clause,[],[f15270,f15170,f199,f194,f15351]) ).
fof(f15351,plain,
( spl14_1215
<=> k17_cat_2(k11_cat_2(sK0,sK2),sK1) = k9_isocat_2(k11_cat_2(sK0,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1215])]) ).
fof(f15170,plain,
( spl14_1203
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK2),sK1) = k9_isocat_2(k11_cat_2(X0,sK2),sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1203])]) ).
fof(f15270,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(k11_cat_2(sK0,sK2),sK1) = k9_isocat_2(k11_cat_2(sK0,sK2),sK1)
| ~ spl14_2
| ~ spl14_1203 ),
inference(resolution,[],[f15171,f201]) ).
fof(f15171,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK2),sK1) = k9_isocat_2(k11_cat_2(X0,sK2),sK1) )
| ~ spl14_1203 ),
inference(avatar_component_clause,[],[f15170]) ).
fof(f15349,plain,
( spl14_1214
| ~ spl14_50
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3727,f3674,f451,f15347]) ).
fof(f15347,plain,
( spl14_1214
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1214])]) ).
fof(f3727,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3722]) ).
fof(f3722,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_353 ),
inference(resolution,[],[f3675,f452]) ).
fof(f15345,plain,
( spl14_1213
| ~ spl14_51
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3726,f3674,f455,f15343]) ).
fof(f15343,plain,
( spl14_1213
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1213])]) ).
fof(f3726,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3723]) ).
fof(f3723,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k8_isocat_2(k11_cat_2(X1,X0),X2)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_353 ),
inference(resolution,[],[f3675,f456]) ).
fof(f15341,plain,
( spl14_1212
| ~ spl14_52
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3725,f3674,f459,f15339]) ).
fof(f15339,plain,
( spl14_1212
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1212])]) ).
fof(f3725,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3724]) ).
fof(f3724,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_353 ),
inference(resolution,[],[f3675,f460]) ).
fof(f15337,plain,
( spl14_1211
| ~ spl14_49
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3712,f3670,f447,f15335]) ).
fof(f15335,plain,
( spl14_1211
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1211])]) ).
fof(f3670,plain,
( spl14_352
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_352])]) ).
fof(f3712,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3705]) ).
fof(f3705,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_352 ),
inference(resolution,[],[f3671,f448]) ).
fof(f3671,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_352 ),
inference(avatar_component_clause,[],[f3670]) ).
fof(f15333,plain,
( spl14_1210
| ~ spl14_50
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3711,f3670,f451,f15331]) ).
fof(f15331,plain,
( spl14_1210
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1210])]) ).
fof(f3711,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3706]) ).
fof(f3706,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_352 ),
inference(resolution,[],[f3671,f452]) ).
fof(f15329,plain,
( spl14_1209
| ~ spl14_51
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3710,f3670,f455,f15327]) ).
fof(f15327,plain,
( spl14_1209
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1209])]) ).
fof(f3710,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3707]) ).
fof(f3707,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k9_isocat_2(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_352 ),
inference(resolution,[],[f3671,f456]) ).
fof(f15325,plain,
( spl14_1208
| ~ spl14_52
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3709,f3670,f459,f15323]) ).
fof(f15323,plain,
( spl14_1208
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1208])]) ).
fof(f3709,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3708]) ).
fof(f3708,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_352 ),
inference(resolution,[],[f3671,f460]) ).
fof(f15248,plain,
( spl14_1207
| ~ spl14_58
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4043,f3975,f501,f15246]) ).
fof(f15246,plain,
( spl14_1207
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1207])]) ).
fof(f4043,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4034]) ).
fof(f4034,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_372 ),
inference(resolution,[],[f3976,f502]) ).
fof(f15244,plain,
( spl14_1206
| ~ spl14_58
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4027,f3971,f501,f15242]) ).
fof(f15242,plain,
( spl14_1206
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1206])]) ).
fof(f4027,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4018]) ).
fof(f4018,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_371 ),
inference(resolution,[],[f3972,f502]) ).
fof(f15240,plain,
( spl14_1205
| ~ spl14_58
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4011,f3967,f501,f15238]) ).
fof(f15238,plain,
( spl14_1205
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1205])]) ).
fof(f4011,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f4002]) ).
fof(f4002,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k2_isocat_1(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7,X8))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_370 ),
inference(resolution,[],[f3968,f502]) ).
fof(f15236,plain,
( spl14_1204
| ~ spl14_58
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3990,f3963,f501,f15234]) ).
fof(f15234,plain,
( spl14_1204
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1204])]) ).
fof(f3990,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3981]) ).
fof(f3981,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k2_isocat_1(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7,X8))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_369 ),
inference(resolution,[],[f3964,f502]) ).
fof(f15172,plain,
( ~ spl14_5
| spl14_1203
| ~ spl14_6
| ~ spl14_414 ),
inference(avatar_split_clause,[],[f4329,f4292,f219,f15170,f214]) ).
fof(f4292,plain,
( spl14_414
<=> ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK1) = k9_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_414])]) ).
fof(f4329,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK2),sK1) = k9_isocat_2(k11_cat_2(X0,sK2),sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_414 ),
inference(resolution,[],[f4293,f221]) ).
fof(f4293,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k17_cat_2(k11_cat_2(X0,X1),sK1) = k9_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_414 ),
inference(avatar_component_clause,[],[f4292]) ).
fof(f15068,plain,
( spl14_1202
| ~ spl14_56
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4045,f3975,f488,f15066]) ).
fof(f15066,plain,
( spl14_1202
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1202])]) ).
fof(f4045,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_56
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4032]) ).
fof(f4032,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_372 ),
inference(resolution,[],[f3976,f489]) ).
fof(f15064,plain,
( spl14_1201
| ~ spl14_57
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4044,f3975,f492,f15062]) ).
fof(f15062,plain,
( spl14_1201
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1201])]) ).
fof(f4044,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4033]) ).
fof(f4033,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_372 ),
inference(resolution,[],[f3976,f493]) ).
fof(f15060,plain,
( spl14_1200
| ~ spl14_56
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4029,f3971,f488,f15058]) ).
fof(f15058,plain,
( spl14_1200
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1200])]) ).
fof(f4029,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_56
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4016]) ).
fof(f4016,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_371 ),
inference(resolution,[],[f3972,f489]) ).
fof(f15055,plain,
( spl14_1199
| ~ spl14_57
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4028,f3971,f492,f15053]) ).
fof(f15053,plain,
( spl14_1199
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1199])]) ).
fof(f4028,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4017]) ).
fof(f4017,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_371 ),
inference(resolution,[],[f3972,f493]) ).
fof(f15051,plain,
( spl14_1198
| ~ spl14_56
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4013,f3967,f488,f15049]) ).
fof(f15049,plain,
( spl14_1198
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1198])]) ).
fof(f4013,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_56
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f4000]) ).
fof(f4000,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k11_isocat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_370 ),
inference(resolution,[],[f3968,f489]) ).
fof(f15047,plain,
( spl14_1197
| ~ spl14_57
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4012,f3967,f492,f15045]) ).
fof(f15045,plain,
( spl14_1197
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1197])]) ).
fof(f4012,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f4001]) ).
fof(f4001,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,k12_isocat_2(X4,X6,k11_cat_2(k11_cat_2(X1,X0),X3),X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_370 ),
inference(resolution,[],[f3968,f493]) ).
fof(f15043,plain,
( spl14_1196
| ~ spl14_56
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3992,f3963,f488,f15041]) ).
fof(f15041,plain,
( spl14_1196
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1196])]) ).
fof(f3992,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_56
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3979]) ).
fof(f3979,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k11_isocat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X6,X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_369 ),
inference(resolution,[],[f3964,f489]) ).
fof(f15039,plain,
( spl14_1195
| ~ spl14_57
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3991,f3963,f492,f15037]) ).
fof(f15037,plain,
( spl14_1195
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1195])]) ).
fof(f3991,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3980]) ).
fof(f3980,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,k12_isocat_2(X4,X6,k11_cat_2(X3,k11_cat_2(X1,X0)),X7))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_369 ),
inference(resolution,[],[f3964,f493]) ).
fof(f15035,plain,
( spl14_1194
| ~ spl14_58
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3612,f3437,f501,f15033]) ).
fof(f15033,plain,
( spl14_1194
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1194])]) ).
fof(f3612,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_348 ),
inference(duplicate_literal_removal,[],[f3607]) ).
fof(f3607,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_348 ),
inference(resolution,[],[f3438,f502]) ).
fof(f15031,plain,
( spl14_1193
| ~ spl14_58
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3600,f3433,f501,f15029]) ).
fof(f15029,plain,
( spl14_1193
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1193])]) ).
fof(f3600,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_347 ),
inference(duplicate_literal_removal,[],[f3595]) ).
fof(f3595,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_347 ),
inference(resolution,[],[f3434,f502]) ).
fof(f15027,plain,
( spl14_1192
| ~ spl14_58
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3588,f3429,f501,f15025]) ).
fof(f15025,plain,
( spl14_1192
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1192])]) ).
fof(f3588,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_346 ),
inference(duplicate_literal_removal,[],[f3583]) ).
fof(f3583,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k2_isocat_1(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_346 ),
inference(resolution,[],[f3430,f502]) ).
fof(f15023,plain,
( spl14_1191
| ~ spl14_58
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3576,f3425,f501,f15021]) ).
fof(f15021,plain,
( spl14_1191
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1191])]) ).
fof(f3576,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_345 ),
inference(duplicate_literal_removal,[],[f3571]) ).
fof(f3571,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k2_isocat_1(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X7,X3,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_345 ),
inference(resolution,[],[f3426,f502]) ).
fof(f15017,plain,
( spl14_1190
| ~ spl14_5
| ~ spl14_6
| ~ spl14_1171 ),
inference(avatar_split_clause,[],[f14739,f14689,f219,f214,f15014]) ).
fof(f15014,plain,
( spl14_1190
<=> k17_cat_2(k11_cat_2(sK2,sK1),sK1) = k9_isocat_2(k11_cat_2(sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1190])]) ).
fof(f14689,plain,
( spl14_1171
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK1),sK1) = k9_isocat_2(k11_cat_2(X0,sK1),sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1171])]) ).
fof(f14739,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(k11_cat_2(sK2,sK1),sK1) = k9_isocat_2(k11_cat_2(sK2,sK1),sK1)
| ~ spl14_6
| ~ spl14_1171 ),
inference(resolution,[],[f14690,f221]) ).
fof(f14690,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK1),sK1) = k9_isocat_2(k11_cat_2(X0,sK1),sK1) )
| ~ spl14_1171 ),
inference(avatar_component_clause,[],[f14689]) ).
fof(f14809,plain,
( spl14_1189
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1171 ),
inference(avatar_split_clause,[],[f14737,f14689,f199,f194,f14806]) ).
fof(f14806,plain,
( spl14_1189
<=> k17_cat_2(k11_cat_2(sK0,sK1),sK1) = k9_isocat_2(k11_cat_2(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1189])]) ).
fof(f14737,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(k11_cat_2(sK0,sK1),sK1) = k9_isocat_2(k11_cat_2(sK0,sK1),sK1)
| ~ spl14_2
| ~ spl14_1171 ),
inference(resolution,[],[f14690,f201]) ).
fof(f14768,plain,
( spl14_1188
| ~ spl14_46
| ~ spl14_368 ),
inference(avatar_split_clause,[],[f3961,f3863,f425,f14766]) ).
fof(f14766,plain,
( spl14_1188
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1188])]) ).
fof(f425,plain,
( spl14_46
<=> ! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
fof(f3961,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) )
| ~ spl14_46
| ~ spl14_368 ),
inference(duplicate_literal_removal,[],[f3950]) ).
fof(f3950,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_368 ),
inference(resolution,[],[f3864,f426]) ).
fof(f426,plain,
( ! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f14764,plain,
( spl14_1187
| ~ spl14_46
| ~ spl14_367 ),
inference(avatar_split_clause,[],[f3949,f3859,f425,f14762]) ).
fof(f14762,plain,
( spl14_1187
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1187])]) ).
fof(f3949,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_46
| ~ spl14_367 ),
inference(duplicate_literal_removal,[],[f3938]) ).
fof(f3938,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_367 ),
inference(resolution,[],[f3860,f426]) ).
fof(f14760,plain,
( spl14_1186
| ~ spl14_46
| ~ spl14_366 ),
inference(avatar_split_clause,[],[f3937,f3855,f425,f14758]) ).
fof(f14758,plain,
( spl14_1186
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1186])]) ).
fof(f3937,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) )
| ~ spl14_46
| ~ spl14_366 ),
inference(duplicate_literal_removal,[],[f3926]) ).
fof(f3926,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_366 ),
inference(resolution,[],[f3856,f426]) ).
fof(f14756,plain,
( spl14_1185
| ~ spl14_46
| ~ spl14_365 ),
inference(avatar_split_clause,[],[f3925,f3851,f425,f14754]) ).
fof(f14754,plain,
( spl14_1185
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1185])]) ).
fof(f3925,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_46
| ~ spl14_365 ),
inference(duplicate_literal_removal,[],[f3914]) ).
fof(f3914,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_365 ),
inference(resolution,[],[f3852,f426]) ).
fof(f14752,plain,
( spl14_1184
| ~ spl14_46
| ~ spl14_364 ),
inference(avatar_split_clause,[],[f3913,f3847,f425,f14750]) ).
fof(f14750,plain,
( spl14_1184
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1184])]) ).
fof(f3913,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)) )
| ~ spl14_46
| ~ spl14_364 ),
inference(duplicate_literal_removal,[],[f3902]) ).
fof(f3902,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,sK8(X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_364 ),
inference(resolution,[],[f3848,f426]) ).
fof(f14748,plain,
( spl14_1183
| ~ spl14_46
| ~ spl14_363 ),
inference(avatar_split_clause,[],[f3901,f3843,f425,f14746]) ).
fof(f14746,plain,
( spl14_1183
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1183])]) ).
fof(f3901,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))) )
| ~ spl14_46
| ~ spl14_363 ),
inference(duplicate_literal_removal,[],[f3890]) ).
fof(f3890,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),sK8(X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_363 ),
inference(resolution,[],[f3844,f426]) ).
fof(f14744,plain,
( spl14_1182
| ~ spl14_46
| ~ spl14_362 ),
inference(avatar_split_clause,[],[f3889,f3839,f425,f14742]) ).
fof(f14742,plain,
( spl14_1182
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1182])]) ).
fof(f3889,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)) )
| ~ spl14_46
| ~ spl14_362 ),
inference(duplicate_literal_removal,[],[f3878]) ).
fof(f3878,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,sK8(X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_362 ),
inference(resolution,[],[f3840,f426]) ).
fof(f14731,plain,
( spl14_1181
| ~ spl14_46
| ~ spl14_360 ),
inference(avatar_split_clause,[],[f3877,f3830,f425,f14729]) ).
fof(f14729,plain,
( spl14_1181
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1181])]) ).
fof(f3877,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))) )
| ~ spl14_46
| ~ spl14_360 ),
inference(duplicate_literal_removal,[],[f3866]) ).
fof(f3866,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),sK8(X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_360 ),
inference(resolution,[],[f3831,f426]) ).
fof(f14727,plain,
( spl14_1180
| ~ spl14_58
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3825,f3698,f501,f14725]) ).
fof(f14725,plain,
( spl14_1180
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1180])]) ).
fof(f3825,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3816]) ).
fof(f3816,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_359 ),
inference(resolution,[],[f3699,f502]) ).
fof(f14723,plain,
( spl14_1179
| ~ spl14_58
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3809,f3694,f501,f14721]) ).
fof(f14721,plain,
( spl14_1179
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1179])]) ).
fof(f3809,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3800]) ).
fof(f3800,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_358 ),
inference(resolution,[],[f3695,f502]) ).
fof(f14719,plain,
( spl14_1178
| ~ spl14_58
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3793,f3690,f501,f14717]) ).
fof(f14717,plain,
( spl14_1178
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1178])]) ).
fof(f3793,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3784]) ).
fof(f3784,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_357 ),
inference(resolution,[],[f3691,f502]) ).
fof(f14715,plain,
( spl14_1177
| ~ spl14_58
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3777,f3686,f501,f14713]) ).
fof(f14713,plain,
( spl14_1177
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1177])]) ).
fof(f3777,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3768]) ).
fof(f3768,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_356 ),
inference(resolution,[],[f3687,f502]) ).
fof(f14711,plain,
( spl14_1176
| ~ spl14_58
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3761,f3682,f501,f14709]) ).
fof(f14709,plain,
( spl14_1176
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1176])]) ).
fof(f3761,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3752]) ).
fof(f3752,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_355 ),
inference(resolution,[],[f3683,f502]) ).
fof(f14707,plain,
( spl14_1175
| ~ spl14_58
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3745,f3678,f501,f14705]) ).
fof(f14705,plain,
( spl14_1175
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1175])]) ).
fof(f3745,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3736]) ).
fof(f3736,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_354 ),
inference(resolution,[],[f3679,f502]) ).
fof(f14703,plain,
( spl14_1174
| ~ spl14_58
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3729,f3674,f501,f14701]) ).
fof(f14701,plain,
( spl14_1174
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1174])]) ).
fof(f3729,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3720]) ).
fof(f3720,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_353 ),
inference(resolution,[],[f3675,f502]) ).
fof(f14699,plain,
( spl14_1173
| ~ spl14_58
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3713,f3670,f501,f14697]) ).
fof(f14697,plain,
( spl14_1173
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1173])]) ).
fof(f3713,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3704]) ).
fof(f3704,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_352 ),
inference(resolution,[],[f3671,f502]) ).
fof(f14695,plain,
( spl14_1172
| ~ spl14_56
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3614,f3437,f488,f14693]) ).
fof(f14693,plain,
( spl14_1172
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1172])]) ).
fof(f3614,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) )
| ~ spl14_56
| ~ spl14_348 ),
inference(duplicate_literal_removal,[],[f3605]) ).
fof(f3605,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_348 ),
inference(resolution,[],[f3438,f489]) ).
fof(f14691,plain,
( ~ spl14_3
| spl14_1171
| ~ spl14_4
| ~ spl14_414 ),
inference(avatar_split_clause,[],[f4328,f4292,f209,f14689,f204]) ).
fof(f4328,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK1),sK1) = k9_isocat_2(k11_cat_2(X0,sK1),sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_414 ),
inference(resolution,[],[f4293,f211]) ).
fof(f14687,plain,
( spl14_1170
| ~ spl14_57
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3613,f3437,f492,f14685]) ).
fof(f14685,plain,
( spl14_1170
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1170])]) ).
fof(f3613,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_348 ),
inference(duplicate_literal_removal,[],[f3606]) ).
fof(f3606,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_348 ),
inference(resolution,[],[f3438,f493]) ).
fof(f14683,plain,
( spl14_1169
| ~ spl14_56
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3602,f3433,f488,f14681]) ).
fof(f14681,plain,
( spl14_1169
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(X5,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1169])]) ).
fof(f3602,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(X5,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) )
| ~ spl14_56
| ~ spl14_347 ),
inference(duplicate_literal_removal,[],[f3593]) ).
fof(f3593,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(X5,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_347 ),
inference(resolution,[],[f3434,f489]) ).
fof(f14679,plain,
( spl14_1168
| ~ spl14_57
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3601,f3433,f492,f14677]) ).
fof(f14677,plain,
( spl14_1168
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1168])]) ).
fof(f3601,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_347 ),
inference(duplicate_literal_removal,[],[f3594]) ).
fof(f3594,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_347 ),
inference(resolution,[],[f3434,f493]) ).
fof(f14675,plain,
( spl14_1167
| ~ spl14_56
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3590,f3429,f488,f14673]) ).
fof(f14673,plain,
( spl14_1167
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1167])]) ).
fof(f3590,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) )
| ~ spl14_56
| ~ spl14_346 ),
inference(duplicate_literal_removal,[],[f3581]) ).
fof(f3581,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X5),X6,X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_346 ),
inference(resolution,[],[f3430,f489]) ).
fof(f14671,plain,
( spl14_1166
| ~ spl14_57
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3589,f3429,f492,f14669]) ).
fof(f14669,plain,
( spl14_1166
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1166])]) ).
fof(f3589,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_346 ),
inference(duplicate_literal_removal,[],[f3582]) ).
fof(f3582,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,k12_isocat_2(X3,X6,k11_cat_2(k11_cat_2(X1,X0),X5),X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(k11_cat_2(X1,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_346 ),
inference(resolution,[],[f3430,f493]) ).
fof(f14667,plain,
( spl14_1165
| ~ spl14_56
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3578,f3425,f488,f14665]) ).
fof(f14665,plain,
( spl14_1165
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(X5,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1165])]) ).
fof(f3578,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(X5,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) )
| ~ spl14_56
| ~ spl14_345 ),
inference(duplicate_literal_removal,[],[f3569]) ).
fof(f3569,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k11_isocat_2(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),X6,X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(k11_cat_2(X5,k11_cat_2(X1,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_345 ),
inference(resolution,[],[f3426,f489]) ).
fof(f14663,plain,
( spl14_1164
| ~ spl14_57
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3577,f3425,f492,f14661]) ).
fof(f14661,plain,
( spl14_1164
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1164])]) ).
fof(f3577,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_345 ),
inference(duplicate_literal_removal,[],[f3570]) ).
fof(f3570,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),k12_isocat_2(X3,X6,k11_cat_2(X5,k11_cat_2(X1,X0)),X7))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X3,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_345 ),
inference(resolution,[],[f3426,f493]) ).
fof(f14502,plain,
( spl14_1163
| ~ spl14_5
| ~ spl14_6
| ~ spl14_1137 ),
inference(avatar_split_clause,[],[f14250,f14210,f219,f214,f14499]) ).
fof(f14499,plain,
( spl14_1163
<=> k17_cat_2(k11_cat_2(sK2,sK0),sK1) = k9_isocat_2(k11_cat_2(sK2,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1163])]) ).
fof(f14210,plain,
( spl14_1137
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK0),sK1) = k9_isocat_2(k11_cat_2(X0,sK0),sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1137])]) ).
fof(f14250,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(k11_cat_2(sK2,sK0),sK1) = k9_isocat_2(k11_cat_2(sK2,sK0),sK1)
| ~ spl14_6
| ~ spl14_1137 ),
inference(resolution,[],[f14211,f221]) ).
fof(f14211,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK0),sK1) = k9_isocat_2(k11_cat_2(X0,sK0),sK1) )
| ~ spl14_1137 ),
inference(avatar_component_clause,[],[f14210]) ).
fof(f14332,plain,
( spl14_1162
| ~ spl14_56
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3827,f3698,f488,f14330]) ).
fof(f14330,plain,
( spl14_1162
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1162])]) ).
fof(f3827,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3814]) ).
fof(f3814,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_359 ),
inference(resolution,[],[f3699,f489]) ).
fof(f14328,plain,
( spl14_1161
| ~ spl14_57
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3826,f3698,f492,f14326]) ).
fof(f14326,plain,
( spl14_1161
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1161])]) ).
fof(f3826,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3815]) ).
fof(f3815,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_359 ),
inference(resolution,[],[f3699,f493]) ).
fof(f14324,plain,
( spl14_1160
| ~ spl14_56
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3811,f3694,f488,f14322]) ).
fof(f14322,plain,
( spl14_1160
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1160])]) ).
fof(f3811,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3798]) ).
fof(f3798,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_358 ),
inference(resolution,[],[f3695,f489]) ).
fof(f14320,plain,
( spl14_1159
| ~ spl14_57
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3810,f3694,f492,f14318]) ).
fof(f14318,plain,
( spl14_1159
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1159])]) ).
fof(f3810,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3799]) ).
fof(f3799,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_358 ),
inference(resolution,[],[f3695,f493]) ).
fof(f14316,plain,
( spl14_1158
| ~ spl14_56
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3795,f3690,f488,f14314]) ).
fof(f14314,plain,
( spl14_1158
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1158])]) ).
fof(f3795,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3782]) ).
fof(f3782,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_357 ),
inference(resolution,[],[f3691,f489]) ).
fof(f14312,plain,
( spl14_1157
| ~ spl14_57
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3794,f3690,f492,f14310]) ).
fof(f14310,plain,
( spl14_1157
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1157])]) ).
fof(f3794,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3783]) ).
fof(f3783,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_357 ),
inference(resolution,[],[f3691,f493]) ).
fof(f14308,plain,
( spl14_1156
| ~ spl14_56
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3779,f3686,f488,f14306]) ).
fof(f14306,plain,
( spl14_1156
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1156])]) ).
fof(f3779,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3766]) ).
fof(f3766,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_356 ),
inference(resolution,[],[f3687,f489]) ).
fof(f14304,plain,
( spl14_1155
| ~ spl14_57
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3778,f3686,f492,f14302]) ).
fof(f14302,plain,
( spl14_1155
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1155])]) ).
fof(f3778,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3767]) ).
fof(f3767,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_356 ),
inference(resolution,[],[f3687,f493]) ).
fof(f14300,plain,
( spl14_1154
| ~ spl14_56
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3763,f3682,f488,f14298]) ).
fof(f14298,plain,
( spl14_1154
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1154])]) ).
fof(f3763,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3750]) ).
fof(f3750,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_355 ),
inference(resolution,[],[f3683,f489]) ).
fof(f14296,plain,
( spl14_1153
| ~ spl14_3
| ~ spl14_4
| ~ spl14_1137 ),
inference(avatar_split_clause,[],[f14249,f14210,f209,f204,f14293]) ).
fof(f14293,plain,
( spl14_1153
<=> k17_cat_2(k11_cat_2(sK1,sK0),sK1) = k9_isocat_2(k11_cat_2(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1153])]) ).
fof(f14249,plain,
( ~ v2_cat_1(sK1)
| k17_cat_2(k11_cat_2(sK1,sK0),sK1) = k9_isocat_2(k11_cat_2(sK1,sK0),sK1)
| ~ spl14_4
| ~ spl14_1137 ),
inference(resolution,[],[f14211,f211]) ).
fof(f14291,plain,
( spl14_1152
| ~ spl14_57
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3762,f3682,f492,f14289]) ).
fof(f14289,plain,
( spl14_1152
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1152])]) ).
fof(f3762,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3751]) ).
fof(f3751,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_355 ),
inference(resolution,[],[f3683,f493]) ).
fof(f14287,plain,
( spl14_1151
| ~ spl14_56
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3747,f3678,f488,f14285]) ).
fof(f14285,plain,
( spl14_1151
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1151])]) ).
fof(f3747,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3734]) ).
fof(f3734,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_354 ),
inference(resolution,[],[f3679,f489]) ).
fof(f14283,plain,
( spl14_1150
| ~ spl14_57
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3746,f3678,f492,f14281]) ).
fof(f14281,plain,
( spl14_1150
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1150])]) ).
fof(f3746,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3735]) ).
fof(f3735,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_354 ),
inference(resolution,[],[f3679,f493]) ).
fof(f14279,plain,
( spl14_1149
| ~ spl14_56
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3731,f3674,f488,f14277]) ).
fof(f14277,plain,
( spl14_1149
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1149])]) ).
fof(f3731,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3718]) ).
fof(f3718,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_353 ),
inference(resolution,[],[f3675,f489]) ).
fof(f14275,plain,
( spl14_1148
| ~ spl14_57
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3730,f3674,f492,f14273]) ).
fof(f14273,plain,
( spl14_1148
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1148])]) ).
fof(f3730,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3719]) ).
fof(f3719,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_353 ),
inference(resolution,[],[f3675,f493]) ).
fof(f14271,plain,
( spl14_1147
| ~ spl14_56
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3715,f3670,f488,f14269]) ).
fof(f14269,plain,
( spl14_1147
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1147])]) ).
fof(f3715,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3702]) ).
fof(f3702,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_352 ),
inference(resolution,[],[f3671,f489]) ).
fof(f14267,plain,
( spl14_1146
| ~ spl14_57
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3714,f3670,f492,f14265]) ).
fof(f14265,plain,
( spl14_1146
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1146])]) ).
fof(f3714,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3703]) ).
fof(f3703,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_352 ),
inference(resolution,[],[f3671,f493]) ).
fof(f14263,plain,
( spl14_1145
| ~ spl14_49
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3662,f3626,f447,f14261]) ).
fof(f14261,plain,
( spl14_1145
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1145])]) ).
fof(f3626,plain,
( spl14_351
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_351])]) ).
fof(f3662,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_49
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3655]) ).
fof(f3655,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_351 ),
inference(resolution,[],[f3627,f448]) ).
fof(f3627,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_351 ),
inference(avatar_component_clause,[],[f3626]) ).
fof(f14259,plain,
( spl14_1144
| ~ spl14_50
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3661,f3626,f451,f14257]) ).
fof(f14257,plain,
( spl14_1144
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1144])]) ).
fof(f3661,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3656]) ).
fof(f3656,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_351 ),
inference(resolution,[],[f3627,f452]) ).
fof(f14255,plain,
( spl14_1143
| ~ spl14_51
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3660,f3626,f455,f14253]) ).
fof(f14253,plain,
( spl14_1143
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1143])]) ).
fof(f3660,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_51
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3657]) ).
fof(f3657,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_351 ),
inference(resolution,[],[f3627,f456]) ).
fof(f14242,plain,
( spl14_1142
| ~ spl14_52
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3659,f3626,f459,f14240]) ).
fof(f14240,plain,
( spl14_1142
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1142])]) ).
fof(f3659,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3658]) ).
fof(f3658,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_351 ),
inference(resolution,[],[f3627,f460]) ).
fof(f14238,plain,
( spl14_1141
| ~ spl14_49
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3642,f3617,f447,f14236]) ).
fof(f14236,plain,
( spl14_1141
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1141])]) ).
fof(f3617,plain,
( spl14_349
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_349])]) ).
fof(f3642,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_49
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3635]) ).
fof(f3635,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k16_cat_2(k11_cat_2(X1,X0),X5))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_349 ),
inference(resolution,[],[f3618,f448]) ).
fof(f3618,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_349 ),
inference(avatar_component_clause,[],[f3617]) ).
fof(f14234,plain,
( spl14_1140
| ~ spl14_50
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3641,f3617,f451,f14232]) ).
fof(f14232,plain,
( spl14_1140
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1140])]) ).
fof(f3641,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3636]) ).
fof(f3636,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k17_cat_2(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_349 ),
inference(resolution,[],[f3618,f452]) ).
fof(f14230,plain,
( spl14_1139
| ~ spl14_51
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3640,f3617,f455,f14228]) ).
fof(f14228,plain,
( spl14_1139
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1139])]) ).
fof(f3640,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_51
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3637]) ).
fof(f3637,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X5),k11_cat_2(X1,X0),X6,k8_isocat_2(k11_cat_2(X1,X0),X5))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_349 ),
inference(resolution,[],[f3618,f456]) ).
fof(f14226,plain,
( spl14_1138
| ~ spl14_52
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3639,f3617,f459,f14224]) ).
fof(f14224,plain,
( spl14_1138
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1138])]) ).
fof(f3639,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3638]) ).
fof(f3638,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,k11_cat_2(X5,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X6,k9_isocat_2(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_349 ),
inference(resolution,[],[f3618,f460]) ).
fof(f14212,plain,
( ~ spl14_1
| spl14_1137
| ~ spl14_2
| ~ spl14_414 ),
inference(avatar_split_clause,[],[f4327,f4292,f199,f14210,f194]) ).
fof(f4327,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK0),sK1) = k9_isocat_2(k11_cat_2(X0,sK0),sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_414 ),
inference(resolution,[],[f4293,f201]) ).
fof(f14167,plain,
( spl14_1136
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1122 ),
inference(avatar_split_clause,[],[f14133,f14085,f199,f194,f14164]) ).
fof(f14164,plain,
( spl14_1136
<=> k17_cat_2(k11_cat_2(sK0,sK2),sK0) = k9_isocat_2(k11_cat_2(sK0,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1136])]) ).
fof(f14085,plain,
( spl14_1122
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK2),sK0) = k9_isocat_2(k11_cat_2(X0,sK2),sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1122])]) ).
fof(f14133,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(k11_cat_2(sK0,sK2),sK0) = k9_isocat_2(k11_cat_2(sK0,sK2),sK0)
| ~ spl14_2
| ~ spl14_1122 ),
inference(resolution,[],[f14086,f201]) ).
fof(f14086,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK2),sK0) = k9_isocat_2(k11_cat_2(X0,sK2),sK0) )
| ~ spl14_1122 ),
inference(avatar_component_clause,[],[f14085]) ).
fof(f14148,plain,
( spl14_1135
| ~ spl14_52
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2894,f2762,f459,f14146]) ).
fof(f14146,plain,
( spl14_1135
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1135])]) ).
fof(f2762,plain,
( spl14_308
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_308])]) ).
fof(f2894,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_308 ),
inference(resolution,[],[f2763,f460]) ).
fof(f2763,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_308 ),
inference(avatar_component_clause,[],[f2762]) ).
fof(f14144,plain,
( spl14_1134
| ~ spl14_51
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2893,f2762,f455,f14142]) ).
fof(f14142,plain,
( spl14_1134
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1134])]) ).
fof(f2893,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_51
| ~ spl14_308 ),
inference(resolution,[],[f2763,f456]) ).
fof(f14140,plain,
( spl14_1133
| ~ spl14_50
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2892,f2762,f451,f14138]) ).
fof(f14138,plain,
( spl14_1133
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1133])]) ).
fof(f2892,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_308 ),
inference(resolution,[],[f2763,f452]) ).
fof(f14127,plain,
( spl14_1132
| ~ spl14_49
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2891,f2762,f447,f14125]) ).
fof(f14125,plain,
( spl14_1132
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1132])]) ).
fof(f2891,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_49
| ~ spl14_308 ),
inference(resolution,[],[f2763,f448]) ).
fof(f14123,plain,
( spl14_1131
| ~ spl14_52
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2882,f2758,f459,f14121]) ).
fof(f14121,plain,
( spl14_1131
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1131])]) ).
fof(f2758,plain,
( spl14_307
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_307])]) ).
fof(f2882,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_307 ),
inference(resolution,[],[f2759,f460]) ).
fof(f2759,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_307 ),
inference(avatar_component_clause,[],[f2758]) ).
fof(f14119,plain,
( spl14_1130
| ~ spl14_51
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2881,f2758,f455,f14117]) ).
fof(f14117,plain,
( spl14_1130
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1130])]) ).
fof(f2881,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) )
| ~ spl14_51
| ~ spl14_307 ),
inference(resolution,[],[f2759,f456]) ).
fof(f14115,plain,
( spl14_1129
| ~ spl14_50
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2880,f2758,f451,f14113]) ).
fof(f14113,plain,
( spl14_1129
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1129])]) ).
fof(f2880,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_307 ),
inference(resolution,[],[f2759,f452]) ).
fof(f14111,plain,
( spl14_1128
| ~ spl14_49
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2879,f2758,f447,f14109]) ).
fof(f14109,plain,
( spl14_1128
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1128])]) ).
fof(f2879,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) )
| ~ spl14_49
| ~ spl14_307 ),
inference(resolution,[],[f2759,f448]) ).
fof(f14107,plain,
( spl14_1127
| ~ spl14_52
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2862,f2733,f459,f14105]) ).
fof(f14105,plain,
( spl14_1127
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1127])]) ).
fof(f2733,plain,
( spl14_301
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_301])]) ).
fof(f2862,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_301 ),
inference(resolution,[],[f2734,f460]) ).
fof(f2734,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_301 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f14103,plain,
( spl14_1126
| ~ spl14_51
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2861,f2733,f455,f14101]) ).
fof(f14101,plain,
( spl14_1126
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1126])]) ).
fof(f2861,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_301 ),
inference(resolution,[],[f2734,f456]) ).
fof(f14099,plain,
( spl14_1125
| ~ spl14_50
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2860,f2733,f451,f14097]) ).
fof(f14097,plain,
( spl14_1125
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1125])]) ).
fof(f2860,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_301 ),
inference(resolution,[],[f2734,f452]) ).
fof(f14095,plain,
( spl14_1124
| ~ spl14_49
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2859,f2733,f447,f14093]) ).
fof(f14093,plain,
( spl14_1124
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1124])]) ).
fof(f2859,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_301 ),
inference(resolution,[],[f2734,f448]) ).
fof(f14091,plain,
( spl14_1123
| ~ spl14_52
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2850,f2729,f459,f14089]) ).
fof(f14089,plain,
( spl14_1123
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1123])]) ).
fof(f2729,plain,
( spl14_300
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_300])]) ).
fof(f2850,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_300 ),
inference(resolution,[],[f2730,f460]) ).
fof(f2730,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_300 ),
inference(avatar_component_clause,[],[f2729]) ).
fof(f14087,plain,
( ~ spl14_5
| spl14_1122
| ~ spl14_6
| ~ spl14_413 ),
inference(avatar_split_clause,[],[f4323,f4288,f219,f14085,f214]) ).
fof(f4288,plain,
( spl14_413
<=> ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK0) = k9_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_413])]) ).
fof(f4323,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK2),sK0) = k9_isocat_2(k11_cat_2(X0,sK2),sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_413 ),
inference(resolution,[],[f4289,f221]) ).
fof(f4289,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k17_cat_2(k11_cat_2(X0,X1),sK0) = k9_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_413 ),
inference(avatar_component_clause,[],[f4288]) ).
fof(f14083,plain,
( spl14_1121
| ~ spl14_51
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2849,f2729,f455,f14081]) ).
fof(f14081,plain,
( spl14_1121
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1121])]) ).
fof(f2849,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_300 ),
inference(resolution,[],[f2730,f456]) ).
fof(f14079,plain,
( spl14_1120
| ~ spl14_50
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2848,f2729,f451,f14077]) ).
fof(f14077,plain,
( spl14_1120
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1120])]) ).
fof(f2848,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_300 ),
inference(resolution,[],[f2730,f452]) ).
fof(f14075,plain,
( spl14_1119
| ~ spl14_49
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2847,f2729,f447,f14073]) ).
fof(f14073,plain,
( spl14_1119
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1119])]) ).
fof(f2847,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_300 ),
inference(resolution,[],[f2730,f448]) ).
fof(f14071,plain,
( spl14_1118
| ~ spl14_52
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2825,f2709,f459,f14069]) ).
fof(f14069,plain,
( spl14_1118
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1118])]) ).
fof(f2709,plain,
( spl14_295
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_295])]) ).
fof(f2825,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_295 ),
inference(resolution,[],[f2710,f460]) ).
fof(f2710,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_295 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f14067,plain,
( spl14_1117
| ~ spl14_51
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2824,f2709,f455,f14065]) ).
fof(f14065,plain,
( spl14_1117
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1117])]) ).
fof(f2824,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_51
| ~ spl14_295 ),
inference(resolution,[],[f2710,f456]) ).
fof(f14063,plain,
( spl14_1116
| ~ spl14_50
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2823,f2709,f451,f14061]) ).
fof(f14061,plain,
( spl14_1116
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1116])]) ).
fof(f2823,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3)),k11_cat_2(X0,X1),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_295 ),
inference(resolution,[],[f2710,f452]) ).
fof(f14059,plain,
( spl14_1115
| ~ spl14_49
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2822,f2709,f447,f14057]) ).
fof(f14057,plain,
( spl14_1115
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1115])]) ).
fof(f2822,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(X0,X1),X2,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_49
| ~ spl14_295 ),
inference(resolution,[],[f2710,f448]) ).
fof(f14055,plain,
( spl14_1114
| ~ spl14_52
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2813,f2705,f459,f14053]) ).
fof(f14053,plain,
( spl14_1114
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1114])]) ).
fof(f2705,plain,
( spl14_294
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_294])]) ).
fof(f2813,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_294 ),
inference(resolution,[],[f2706,f460]) ).
fof(f2706,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_294 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f14051,plain,
( spl14_1113
| ~ spl14_51
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2812,f2705,f455,f14049]) ).
fof(f14049,plain,
( spl14_1113
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1113])]) ).
fof(f2812,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) )
| ~ spl14_51
| ~ spl14_294 ),
inference(resolution,[],[f2706,f456]) ).
fof(f14047,plain,
( spl14_1112
| ~ spl14_50
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2811,f2705,f451,f14045]) ).
fof(f14045,plain,
( spl14_1112
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1112])]) ).
fof(f2811,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1))),X3,k11_cat_2(X0,X1),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_294 ),
inference(resolution,[],[f2706,f452]) ).
fof(f14042,plain,
( spl14_1111
| ~ spl14_49
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2810,f2705,f447,f14040]) ).
fof(f14040,plain,
( spl14_1111
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1111])]) ).
fof(f2810,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),k11_cat_2(X0,X1),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3),X2,k11_cat_2(X0,X1),k16_cat_2(k11_cat_2(X2,k11_cat_2(X0,X1)),X3)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1))) )
| ~ spl14_49
| ~ spl14_294 ),
inference(resolution,[],[f2706,f448]) ).
fof(f14038,plain,
( spl14_1110
| ~ spl14_52
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2793,f2684,f459,f14036]) ).
fof(f14036,plain,
( spl14_1110
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1110])]) ).
fof(f2684,plain,
( spl14_289
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_289])]) ).
fof(f2793,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_289 ),
inference(resolution,[],[f2685,f460]) ).
fof(f2685,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_289 ),
inference(avatar_component_clause,[],[f2684]) ).
fof(f14034,plain,
( spl14_1109
| ~ spl14_51
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2792,f2684,f455,f14032]) ).
fof(f14032,plain,
( spl14_1109
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1109])]) ).
fof(f2792,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_289 ),
inference(resolution,[],[f2685,f456]) ).
fof(f14030,plain,
( spl14_1108
| ~ spl14_50
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2791,f2684,f451,f14028]) ).
fof(f14028,plain,
( spl14_1108
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1108])]) ).
fof(f2791,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_289 ),
inference(resolution,[],[f2685,f452]) ).
fof(f14026,plain,
( spl14_1107
| ~ spl14_49
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2790,f2684,f447,f14024]) ).
fof(f14024,plain,
( spl14_1107
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1107])]) ).
fof(f2790,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_289 ),
inference(resolution,[],[f2685,f448]) ).
fof(f14022,plain,
( spl14_1106
| ~ spl14_52
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2780,f2680,f459,f14020]) ).
fof(f14020,plain,
( spl14_1106
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1106])]) ).
fof(f2680,plain,
( spl14_288
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_288])]) ).
fof(f2780,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_288 ),
inference(resolution,[],[f2681,f460]) ).
fof(f2681,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_288 ),
inference(avatar_component_clause,[],[f2680]) ).
fof(f14018,plain,
( spl14_1105
| ~ spl14_51
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2779,f2680,f455,f14016]) ).
fof(f14016,plain,
( spl14_1105
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1105])]) ).
fof(f2779,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_288 ),
inference(resolution,[],[f2681,f456]) ).
fof(f14014,plain,
( spl14_1104
| ~ spl14_50
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2778,f2680,f451,f14012]) ).
fof(f14012,plain,
( spl14_1104
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1104])]) ).
fof(f2778,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_288 ),
inference(resolution,[],[f2681,f452]) ).
fof(f14010,plain,
( spl14_1103
| ~ spl14_49
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2777,f2680,f447,f14008]) ).
fof(f14008,plain,
( spl14_1103
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1103])]) ).
fof(f2777,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_288 ),
inference(resolution,[],[f2681,f448]) ).
fof(f14004,plain,
( spl14_1102
| ~ spl14_5
| ~ spl14_6
| ~ spl14_1100 ),
inference(avatar_split_clause,[],[f13854,f13796,f219,f214,f14001]) ).
fof(f14001,plain,
( spl14_1102
<=> k17_cat_2(k11_cat_2(sK2,sK1),sK0) = k9_isocat_2(k11_cat_2(sK2,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1102])]) ).
fof(f13796,plain,
( spl14_1100
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK1),sK0) = k9_isocat_2(k11_cat_2(X0,sK1),sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1100])]) ).
fof(f13854,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(k11_cat_2(sK2,sK1),sK0) = k9_isocat_2(k11_cat_2(sK2,sK1),sK0)
| ~ spl14_6
| ~ spl14_1100 ),
inference(resolution,[],[f13797,f221]) ).
fof(f13797,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK1),sK0) = k9_isocat_2(k11_cat_2(X0,sK1),sK0) )
| ~ spl14_1100 ),
inference(avatar_component_clause,[],[f13796]) ).
fof(f13908,plain,
( spl14_1101
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1100 ),
inference(avatar_split_clause,[],[f13852,f13796,f199,f194,f13905]) ).
fof(f13905,plain,
( spl14_1101
<=> k17_cat_2(k11_cat_2(sK0,sK1),sK0) = k9_isocat_2(k11_cat_2(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1101])]) ).
fof(f13852,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(k11_cat_2(sK0,sK1),sK0) = k9_isocat_2(k11_cat_2(sK0,sK1),sK0)
| ~ spl14_2
| ~ spl14_1100 ),
inference(resolution,[],[f13797,f201]) ).
fof(f13798,plain,
( ~ spl14_3
| spl14_1100
| ~ spl14_4
| ~ spl14_413 ),
inference(avatar_split_clause,[],[f4322,f4288,f209,f13796,f204]) ).
fof(f4322,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK1),sK0) = k9_isocat_2(k11_cat_2(X0,sK1),sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_413 ),
inference(resolution,[],[f4289,f211]) ).
fof(f13669,plain,
( spl14_1099
| ~ spl14_5
| ~ spl14_6
| ~ spl14_1058 ),
inference(avatar_split_clause,[],[f13525,f13475,f219,f214,f13666]) ).
fof(f13666,plain,
( spl14_1099
<=> k17_cat_2(k11_cat_2(sK2,sK0),sK0) = k9_isocat_2(k11_cat_2(sK2,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1099])]) ).
fof(f13475,plain,
( spl14_1058
<=> ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK0),sK0) = k9_isocat_2(k11_cat_2(X0,sK0),sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1058])]) ).
fof(f13525,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(k11_cat_2(sK2,sK0),sK0) = k9_isocat_2(k11_cat_2(sK2,sK0),sK0)
| ~ spl14_6
| ~ spl14_1058 ),
inference(resolution,[],[f13476,f221]) ).
fof(f13476,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(k11_cat_2(X0,sK0),sK0) = k9_isocat_2(k11_cat_2(X0,sK0),sK0) )
| ~ spl14_1058 ),
inference(avatar_component_clause,[],[f13475]) ).
fof(f13648,plain,
( spl14_1098
| ~ spl14_45
| ~ spl14_389 ),
inference(avatar_split_clause,[],[f4147,f4108,f421,f13646]) ).
fof(f13646,plain,
( spl14_1098
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1098])]) ).
fof(f421,plain,
( spl14_45
<=> ! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
fof(f4108,plain,
( spl14_389
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_389])]) ).
fof(f4147,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_389 ),
inference(duplicate_literal_removal,[],[f4146]) ).
fof(f4146,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_389 ),
inference(resolution,[],[f4109,f422]) ).
fof(f422,plain,
( ! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f4109,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_389 ),
inference(avatar_component_clause,[],[f4108]) ).
fof(f13644,plain,
( spl14_1097
| ~ spl14_45
| ~ spl14_388 ),
inference(avatar_split_clause,[],[f4145,f4104,f421,f13642]) ).
fof(f13642,plain,
( spl14_1097
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1097])]) ).
fof(f4104,plain,
( spl14_388
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_388])]) ).
fof(f4145,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_388 ),
inference(duplicate_literal_removal,[],[f4144]) ).
fof(f4144,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_388 ),
inference(resolution,[],[f4105,f422]) ).
fof(f4105,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_388 ),
inference(avatar_component_clause,[],[f4104]) ).
fof(f13640,plain,
( spl14_1096
| ~ spl14_45
| ~ spl14_387 ),
inference(avatar_split_clause,[],[f4143,f4100,f421,f13638]) ).
fof(f13638,plain,
( spl14_1096
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1096])]) ).
fof(f4100,plain,
( spl14_387
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_387])]) ).
fof(f4143,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_387 ),
inference(duplicate_literal_removal,[],[f4142]) ).
fof(f4142,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_387 ),
inference(resolution,[],[f4101,f422]) ).
fof(f4101,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_387 ),
inference(avatar_component_clause,[],[f4100]) ).
fof(f13636,plain,
( spl14_1095
| ~ spl14_45
| ~ spl14_386 ),
inference(avatar_split_clause,[],[f4141,f4096,f421,f13634]) ).
fof(f13634,plain,
( spl14_1095
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1095])]) ).
fof(f4096,plain,
( spl14_386
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_386])]) ).
fof(f4141,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_386 ),
inference(duplicate_literal_removal,[],[f4140]) ).
fof(f4140,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_386 ),
inference(resolution,[],[f4097,f422]) ).
fof(f4097,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_386 ),
inference(avatar_component_clause,[],[f4096]) ).
fof(f13632,plain,
( spl14_1094
| ~ spl14_45
| ~ spl14_385 ),
inference(avatar_split_clause,[],[f4139,f4092,f421,f13630]) ).
fof(f13630,plain,
( spl14_1094
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1094])]) ).
fof(f4092,plain,
( spl14_385
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_385])]) ).
fof(f4139,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_385 ),
inference(duplicate_literal_removal,[],[f4138]) ).
fof(f4138,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_385 ),
inference(resolution,[],[f4093,f422]) ).
fof(f4093,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_385 ),
inference(avatar_component_clause,[],[f4092]) ).
fof(f13628,plain,
( spl14_1093
| ~ spl14_45
| ~ spl14_384 ),
inference(avatar_split_clause,[],[f4137,f4088,f421,f13626]) ).
fof(f13626,plain,
( spl14_1093
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1093])]) ).
fof(f4088,plain,
( spl14_384
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_384])]) ).
fof(f4137,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_384 ),
inference(duplicate_literal_removal,[],[f4136]) ).
fof(f4136,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_384 ),
inference(resolution,[],[f4089,f422]) ).
fof(f4089,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_384 ),
inference(avatar_component_clause,[],[f4088]) ).
fof(f13624,plain,
( spl14_1092
| ~ spl14_45
| ~ spl14_383 ),
inference(avatar_split_clause,[],[f4135,f4084,f421,f13622]) ).
fof(f13622,plain,
( spl14_1092
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1092])]) ).
fof(f4084,plain,
( spl14_383
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_383])]) ).
fof(f4135,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_383 ),
inference(duplicate_literal_removal,[],[f4134]) ).
fof(f4134,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_383 ),
inference(resolution,[],[f4085,f422]) ).
fof(f4085,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_383 ),
inference(avatar_component_clause,[],[f4084]) ).
fof(f13620,plain,
( spl14_1091
| ~ spl14_45
| ~ spl14_382 ),
inference(avatar_split_clause,[],[f4133,f4080,f421,f13618]) ).
fof(f13618,plain,
( spl14_1091
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1091])]) ).
fof(f4080,plain,
( spl14_382
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_382])]) ).
fof(f4133,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_382 ),
inference(duplicate_literal_removal,[],[f4132]) ).
fof(f4132,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_382 ),
inference(resolution,[],[f4081,f422]) ).
fof(f4081,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_382 ),
inference(avatar_component_clause,[],[f4080]) ).
fof(f13616,plain,
( spl14_1090
| ~ spl14_45
| ~ spl14_381 ),
inference(avatar_split_clause,[],[f4131,f4076,f421,f13614]) ).
fof(f13614,plain,
( spl14_1090
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1090])]) ).
fof(f4076,plain,
( spl14_381
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_381])]) ).
fof(f4131,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_381 ),
inference(duplicate_literal_removal,[],[f4130]) ).
fof(f4130,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_381 ),
inference(resolution,[],[f4077,f422]) ).
fof(f4077,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_381 ),
inference(avatar_component_clause,[],[f4076]) ).
fof(f13611,plain,
( spl14_1089
| ~ spl14_45
| ~ spl14_380 ),
inference(avatar_split_clause,[],[f4129,f4072,f421,f13609]) ).
fof(f13609,plain,
( spl14_1089
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1089])]) ).
fof(f4072,plain,
( spl14_380
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_380])]) ).
fof(f4129,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_380 ),
inference(duplicate_literal_removal,[],[f4128]) ).
fof(f4128,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_380 ),
inference(resolution,[],[f4073,f422]) ).
fof(f4073,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_380 ),
inference(avatar_component_clause,[],[f4072]) ).
fof(f13607,plain,
( spl14_1088
| ~ spl14_45
| ~ spl14_379 ),
inference(avatar_split_clause,[],[f4127,f4068,f421,f13605]) ).
fof(f13605,plain,
( spl14_1088
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1088])]) ).
fof(f4068,plain,
( spl14_379
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_379])]) ).
fof(f4127,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_379 ),
inference(duplicate_literal_removal,[],[f4126]) ).
fof(f4126,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_379 ),
inference(resolution,[],[f4069,f422]) ).
fof(f4069,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_379 ),
inference(avatar_component_clause,[],[f4068]) ).
fof(f13603,plain,
( spl14_1087
| ~ spl14_45
| ~ spl14_378 ),
inference(avatar_split_clause,[],[f4125,f4064,f421,f13601]) ).
fof(f13601,plain,
( spl14_1087
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1087])]) ).
fof(f4064,plain,
( spl14_378
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_378])]) ).
fof(f4125,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_378 ),
inference(duplicate_literal_removal,[],[f4124]) ).
fof(f4124,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_45
| ~ spl14_378 ),
inference(resolution,[],[f4065,f422]) ).
fof(f4065,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_378 ),
inference(avatar_component_clause,[],[f4064]) ).
fof(f13599,plain,
( spl14_1086
| ~ spl14_45
| ~ spl14_377 ),
inference(avatar_split_clause,[],[f4123,f4060,f421,f13597]) ).
fof(f13597,plain,
( spl14_1086
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1086])]) ).
fof(f4060,plain,
( spl14_377
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_377])]) ).
fof(f4123,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_377 ),
inference(duplicate_literal_removal,[],[f4122]) ).
fof(f4122,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_377 ),
inference(resolution,[],[f4061,f422]) ).
fof(f4061,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_377 ),
inference(avatar_component_clause,[],[f4060]) ).
fof(f13595,plain,
( spl14_1085
| ~ spl14_45
| ~ spl14_376 ),
inference(avatar_split_clause,[],[f4121,f4056,f421,f13593]) ).
fof(f13593,plain,
( spl14_1085
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1085])]) ).
fof(f4056,plain,
( spl14_376
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_376])]) ).
fof(f4121,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_376 ),
inference(duplicate_literal_removal,[],[f4120]) ).
fof(f4120,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_376 ),
inference(resolution,[],[f4057,f422]) ).
fof(f4057,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_376 ),
inference(avatar_component_clause,[],[f4056]) ).
fof(f13591,plain,
( spl14_1084
| ~ spl14_45
| ~ spl14_375 ),
inference(avatar_split_clause,[],[f4119,f4052,f421,f13589]) ).
fof(f13589,plain,
( spl14_1084
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1084])]) ).
fof(f4052,plain,
( spl14_375
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_375])]) ).
fof(f4119,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_375 ),
inference(duplicate_literal_removal,[],[f4118]) ).
fof(f4118,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_375 ),
inference(resolution,[],[f4053,f422]) ).
fof(f4053,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_375 ),
inference(avatar_component_clause,[],[f4052]) ).
fof(f13587,plain,
( spl14_1083
| ~ spl14_45
| ~ spl14_374 ),
inference(avatar_split_clause,[],[f4112,f4048,f421,f13585]) ).
fof(f13585,plain,
( spl14_1083
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1083])]) ).
fof(f4048,plain,
( spl14_374
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_374])]) ).
fof(f4112,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_374 ),
inference(duplicate_literal_removal,[],[f4111]) ).
fof(f4111,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_374 ),
inference(resolution,[],[f4049,f422]) ).
fof(f4049,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_374 ),
inference(avatar_component_clause,[],[f4048]) ).
fof(f13583,plain,
( spl14_1082
| ~ spl14_58
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3663,f3626,f501,f13581]) ).
fof(f13581,plain,
( spl14_1082
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X1,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1082])]) ).
fof(f3663,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X1,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_58
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3654]) ).
fof(f3654,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X1,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_351 ),
inference(resolution,[],[f3627,f502]) ).
fof(f13579,plain,
( spl14_1081
| ~ spl14_58
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3643,f3617,f501,f13577]) ).
fof(f13577,plain,
( spl14_1081
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X1,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1081])]) ).
fof(f3643,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X1,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_58
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3634]) ).
fof(f3634,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X1,X0),X8,X9))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X1,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_349 ),
inference(resolution,[],[f3618,f502]) ).
fof(f13575,plain,
( spl14_1080
| ~ spl14_58
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3564,f3421,f501,f13573]) ).
fof(f13573,plain,
( spl14_1080
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1080])]) ).
fof(f3421,plain,
( spl14_344
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_344])]) ).
fof(f3564,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3555]) ).
fof(f3555,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_344 ),
inference(resolution,[],[f3422,f502]) ).
fof(f3422,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_344 ),
inference(avatar_component_clause,[],[f3421]) ).
fof(f13571,plain,
( spl14_1079
| ~ spl14_3
| ~ spl14_4
| ~ spl14_1058 ),
inference(avatar_split_clause,[],[f13524,f13475,f209,f204,f13568]) ).
fof(f13568,plain,
( spl14_1079
<=> k17_cat_2(k11_cat_2(sK1,sK0),sK0) = k9_isocat_2(k11_cat_2(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1079])]) ).
fof(f13524,plain,
( ~ v2_cat_1(sK1)
| k17_cat_2(k11_cat_2(sK1,sK0),sK0) = k9_isocat_2(k11_cat_2(sK1,sK0),sK0)
| ~ spl14_4
| ~ spl14_1058 ),
inference(resolution,[],[f13476,f211]) ).
fof(f13566,plain,
( spl14_1078
| ~ spl14_49
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3563,f3421,f447,f13564]) ).
fof(f13564,plain,
( spl14_1078
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1078])]) ).
fof(f3563,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3556]) ).
fof(f3556,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) )
| ~ spl14_49
| ~ spl14_344 ),
inference(resolution,[],[f3422,f448]) ).
fof(f13562,plain,
( spl14_1077
| ~ spl14_50
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3562,f3421,f451,f13560]) ).
fof(f13560,plain,
( spl14_1077
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1077])]) ).
fof(f3562,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3557]) ).
fof(f3557,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_344 ),
inference(resolution,[],[f3422,f452]) ).
fof(f13558,plain,
( spl14_1076
| ~ spl14_51
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3561,f3421,f455,f13556]) ).
fof(f13556,plain,
( spl14_1076
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1076])]) ).
fof(f3561,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3558]) ).
fof(f3558,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) )
| ~ spl14_51
| ~ spl14_344 ),
inference(resolution,[],[f3422,f456]) ).
fof(f13554,plain,
( spl14_1075
| ~ spl14_52
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3560,f3421,f459,f13552]) ).
fof(f13552,plain,
( spl14_1075
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1075])]) ).
fof(f3560,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3559]) ).
fof(f3559,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_344 ),
inference(resolution,[],[f3422,f460]) ).
fof(f13550,plain,
( spl14_1074
| ~ spl14_58
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3548,f3417,f501,f13548]) ).
fof(f13548,plain,
( spl14_1074
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1074])]) ).
fof(f3417,plain,
( spl14_343
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X2,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_343])]) ).
fof(f3548,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3539]) ).
fof(f3539,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_343 ),
inference(resolution,[],[f3418,f502]) ).
fof(f3418,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X2,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_343 ),
inference(avatar_component_clause,[],[f3417]) ).
fof(f13546,plain,
( spl14_1073
| ~ spl14_49
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3547,f3417,f447,f13544]) ).
fof(f13544,plain,
( spl14_1073
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1073])]) ).
fof(f3547,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3540]) ).
fof(f3540,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_49
| ~ spl14_343 ),
inference(resolution,[],[f3418,f448]) ).
fof(f13542,plain,
( spl14_1072
| ~ spl14_50
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3546,f3417,f451,f13540]) ).
fof(f13540,plain,
( spl14_1072
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1072])]) ).
fof(f3546,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3541]) ).
fof(f3541,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_343 ),
inference(resolution,[],[f3418,f452]) ).
fof(f13538,plain,
( spl14_1071
| ~ spl14_51
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3545,f3417,f455,f13536]) ).
fof(f13536,plain,
( spl14_1071
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1071])]) ).
fof(f3545,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3542]) ).
fof(f3542,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_51
| ~ spl14_343 ),
inference(resolution,[],[f3418,f456]) ).
fof(f13534,plain,
( spl14_1070
| ~ spl14_52
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3544,f3417,f459,f13532]) ).
fof(f13532,plain,
( spl14_1070
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1070])]) ).
fof(f3544,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3543]) ).
fof(f3543,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_343 ),
inference(resolution,[],[f3418,f460]) ).
fof(f13530,plain,
( spl14_1069
| ~ spl14_58
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3532,f3413,f501,f13528]) ).
fof(f13528,plain,
( spl14_1069
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1069])]) ).
fof(f3413,plain,
( spl14_342
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_342])]) ).
fof(f3532,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3523]) ).
fof(f3523,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5,X6),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_342 ),
inference(resolution,[],[f3414,f502]) ).
fof(f3414,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_342 ),
inference(avatar_component_clause,[],[f3413]) ).
fof(f13517,plain,
( spl14_1068
| ~ spl14_49
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3531,f3413,f447,f13515]) ).
fof(f13515,plain,
( spl14_1068
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1068])]) ).
fof(f3531,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3524]) ).
fof(f3524,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) )
| ~ spl14_49
| ~ spl14_342 ),
inference(resolution,[],[f3414,f448]) ).
fof(f13513,plain,
( spl14_1067
| ~ spl14_50
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3530,f3413,f451,f13511]) ).
fof(f13511,plain,
( spl14_1067
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1067])]) ).
fof(f3530,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3525]) ).
fof(f3525,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_342 ),
inference(resolution,[],[f3414,f452]) ).
fof(f13509,plain,
( spl14_1066
| ~ spl14_51
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3529,f3413,f455,f13507]) ).
fof(f13507,plain,
( spl14_1066
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1066])]) ).
fof(f3529,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3526]) ).
fof(f3526,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X3),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2))) )
| ~ spl14_51
| ~ spl14_342 ),
inference(resolution,[],[f3414,f456]) ).
fof(f13505,plain,
( spl14_1065
| ~ spl14_52
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3528,f3413,f459,f13503]) ).
fof(f13503,plain,
( spl14_1065
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1065])]) ).
fof(f3528,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3527]) ).
fof(f3527,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_342 ),
inference(resolution,[],[f3414,f460]) ).
fof(f13501,plain,
( spl14_1064
| ~ spl14_58
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3516,f3409,f501,f13499]) ).
fof(f13499,plain,
( spl14_1064
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1064])]) ).
fof(f3409,plain,
( spl14_341
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X2,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_341])]) ).
fof(f3516,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3507]) ).
fof(f3507,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5,X6),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_341 ),
inference(resolution,[],[f3410,f502]) ).
fof(f3410,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X2,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_341 ),
inference(avatar_component_clause,[],[f3409]) ).
fof(f13497,plain,
( spl14_1063
| ~ spl14_49
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3515,f3409,f447,f13495]) ).
fof(f13495,plain,
( spl14_1063
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1063])]) ).
fof(f3515,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3508]) ).
fof(f3508,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_49
| ~ spl14_341 ),
inference(resolution,[],[f3410,f448]) ).
fof(f13493,plain,
( spl14_1062
| ~ spl14_50
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3514,f3409,f451,f13491]) ).
fof(f13491,plain,
( spl14_1062
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1062])]) ).
fof(f3514,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3509]) ).
fof(f3509,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_341 ),
inference(resolution,[],[f3410,f452]) ).
fof(f13489,plain,
( spl14_1061
| ~ spl14_51
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3513,f3409,f455,f13487]) ).
fof(f13487,plain,
( spl14_1061
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1061])]) ).
fof(f3513,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3510]) ).
fof(f3510,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X3),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2)) )
| ~ spl14_51
| ~ spl14_341 ),
inference(resolution,[],[f3410,f456]) ).
fof(f13485,plain,
( spl14_1060
| ~ spl14_52
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3512,f3409,f459,f13483]) ).
fof(f13483,plain,
( spl14_1060
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1060])]) ).
fof(f3512,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3511]) ).
fof(f3511,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_cat_2(k11_cat_2(X0,X1),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_341 ),
inference(resolution,[],[f3410,f460]) ).
fof(f13481,plain,
( spl14_1059
| ~ spl14_58
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3500,f3405,f501,f13479]) ).
fof(f13479,plain,
( spl14_1059
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1059])]) ).
fof(f3405,plain,
( spl14_340
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X4,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_340])]) ).
fof(f3500,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3491]) ).
fof(f3491,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_340 ),
inference(resolution,[],[f3406,f502]) ).
fof(f3406,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X4,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_340 ),
inference(avatar_component_clause,[],[f3405]) ).
fof(f13477,plain,
( ~ spl14_1
| spl14_1058
| ~ spl14_2
| ~ spl14_413 ),
inference(avatar_split_clause,[],[f4321,f4288,f199,f13475,f194]) ).
fof(f4321,plain,
( ! [X0] :
( k17_cat_2(k11_cat_2(X0,sK0),sK0) = k9_isocat_2(k11_cat_2(X0,sK0),sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_413 ),
inference(resolution,[],[f4289,f201]) ).
fof(f13473,plain,
( spl14_1057
| ~ spl14_49
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3499,f3405,f447,f13471]) ).
fof(f13471,plain,
( spl14_1057
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1057])]) ).
fof(f3499,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3492]) ).
fof(f3492,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) )
| ~ spl14_49
| ~ spl14_340 ),
inference(resolution,[],[f3406,f448]) ).
fof(f13469,plain,
( spl14_1056
| ~ spl14_50
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3498,f3405,f451,f13467]) ).
fof(f13467,plain,
( spl14_1056
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1056])]) ).
fof(f3498,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3493]) ).
fof(f3493,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_340 ),
inference(resolution,[],[f3406,f452]) ).
fof(f13465,plain,
( spl14_1055
| ~ spl14_51
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3497,f3405,f455,f13463]) ).
fof(f13463,plain,
( spl14_1055
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1055])]) ).
fof(f3497,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3494]) ).
fof(f3494,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) )
| ~ spl14_51
| ~ spl14_340 ),
inference(resolution,[],[f3406,f456]) ).
fof(f13461,plain,
( spl14_1054
| ~ spl14_52
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3496,f3405,f459,f13459]) ).
fof(f13459,plain,
( spl14_1054
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1054])]) ).
fof(f3496,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3495]) ).
fof(f3495,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_340 ),
inference(resolution,[],[f3406,f460]) ).
fof(f13457,plain,
( spl14_1053
| ~ spl14_58
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3484,f3401,f501,f13455]) ).
fof(f13455,plain,
( spl14_1053
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1053])]) ).
fof(f3401,plain,
( spl14_339
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X3,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_339])]) ).
fof(f3484,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3475]) ).
fof(f3475,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_339 ),
inference(resolution,[],[f3402,f502]) ).
fof(f3402,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X3,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_339 ),
inference(avatar_component_clause,[],[f3401]) ).
fof(f13453,plain,
( spl14_1052
| ~ spl14_49
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3483,f3401,f447,f13451]) ).
fof(f13451,plain,
( spl14_1052
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1052])]) ).
fof(f3483,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3476]) ).
fof(f3476,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_339 ),
inference(resolution,[],[f3402,f448]) ).
fof(f13449,plain,
( spl14_1051
| ~ spl14_50
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3482,f3401,f451,f13447]) ).
fof(f13447,plain,
( spl14_1051
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1051])]) ).
fof(f3482,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3477]) ).
fof(f3477,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_339 ),
inference(resolution,[],[f3402,f452]) ).
fof(f13445,plain,
( spl14_1050
| ~ spl14_51
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3481,f3401,f455,f13443]) ).
fof(f13443,plain,
( spl14_1050
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1050])]) ).
fof(f3481,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3478]) ).
fof(f3478,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_339 ),
inference(resolution,[],[f3402,f456]) ).
fof(f13441,plain,
( spl14_1049
| ~ spl14_52
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3480,f3401,f459,f13439]) ).
fof(f13439,plain,
( spl14_1049
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1049])]) ).
fof(f3480,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3479]) ).
fof(f3479,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_339 ),
inference(resolution,[],[f3402,f460]) ).
fof(f13437,plain,
( spl14_1048
| ~ spl14_58
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3468,f3397,f501,f13435]) ).
fof(f13435,plain,
( spl14_1048
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1048])]) ).
fof(f3397,plain,
( spl14_338
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X4,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_338])]) ).
fof(f3468,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3459]) ).
fof(f3459,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5,X6),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_338 ),
inference(resolution,[],[f3398,f502]) ).
fof(f3398,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X4,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_338 ),
inference(avatar_component_clause,[],[f3397]) ).
fof(f13432,plain,
( spl14_1047
| ~ spl14_49
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3467,f3397,f447,f13430]) ).
fof(f13430,plain,
( spl14_1047
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1047])]) ).
fof(f3467,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3460]) ).
fof(f3460,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k16_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) )
| ~ spl14_49
| ~ spl14_338 ),
inference(resolution,[],[f3398,f448]) ).
fof(f13428,plain,
( spl14_1046
| ~ spl14_50
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3466,f3397,f451,f13426]) ).
fof(f13426,plain,
( spl14_1046
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1046])]) ).
fof(f3466,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3461]) ).
fof(f3461,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_338 ),
inference(resolution,[],[f3398,f452]) ).
fof(f13424,plain,
( spl14_1045
| ~ spl14_51
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3465,f3397,f455,f13422]) ).
fof(f13422,plain,
( spl14_1045
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1045])]) ).
fof(f3465,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3462]) ).
fof(f3462,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X3),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0))) )
| ~ spl14_51
| ~ spl14_338 ),
inference(resolution,[],[f3398,f456]) ).
fof(f13420,plain,
( spl14_1044
| ~ spl14_52
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3464,f3397,f459,f13418]) ).
fof(f13418,plain,
( spl14_1044
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1044])]) ).
fof(f3464,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3463]) ).
fof(f3463,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_338 ),
inference(resolution,[],[f3398,f460]) ).
fof(f13416,plain,
( spl14_1043
| ~ spl14_58
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3452,f3393,f501,f13414]) ).
fof(f13414,plain,
( spl14_1043
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1043])]) ).
fof(f3393,plain,
( spl14_337
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X3,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_337])]) ).
fof(f3452,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3443]) ).
fof(f3443,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k2_isocat_1(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5,X6),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ m2_cat_1(X5,X3,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_337 ),
inference(resolution,[],[f3394,f502]) ).
fof(f3394,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X3,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_337 ),
inference(avatar_component_clause,[],[f3393]) ).
fof(f13412,plain,
( spl14_1042
| ~ spl14_49
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3451,f3393,f447,f13410]) ).
fof(f13410,plain,
( spl14_1042
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1042])]) ).
fof(f3451,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3444]) ).
fof(f3444,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_337 ),
inference(resolution,[],[f3394,f448]) ).
fof(f13408,plain,
( spl14_1041
| ~ spl14_50
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3450,f3393,f451,f13406]) ).
fof(f13406,plain,
( spl14_1041
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1041])]) ).
fof(f3450,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3445]) ).
fof(f3445,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k17_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_337 ),
inference(resolution,[],[f3394,f452]) ).
fof(f13404,plain,
( spl14_1040
| ~ spl14_51
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3449,f3393,f455,f13402]) ).
fof(f13402,plain,
( spl14_1040
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1040])]) ).
fof(f3449,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3446]) ).
fof(f3446,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_337 ),
inference(resolution,[],[f3394,f456]) ).
fof(f13400,plain,
( spl14_1039
| ~ spl14_52
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3448,f3393,f459,f13398]) ).
fof(f13398,plain,
( spl14_1039
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1039])]) ).
fof(f3448,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3447]) ).
fof(f3447,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)))
| k2_isocat_1(k11_cat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k11_cat_2(k11_cat_2(X1,X0),X2),X0,k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k9_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_337 ),
inference(resolution,[],[f3394,f460]) ).
fof(f13396,plain,
( spl14_1038
| ~ spl14_58
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3315,f3262,f501,f13394]) ).
fof(f13394,plain,
( spl14_1038
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1038])]) ).
fof(f3315,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_328 ),
inference(duplicate_literal_removal,[],[f3310]) ).
fof(f3310,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_328 ),
inference(resolution,[],[f3263,f502]) ).
fof(f13392,plain,
( spl14_1037
| ~ spl14_1
| ~ spl14_2
| ~ spl14_1033 ),
inference(avatar_split_clause,[],[f13288,f13160,f199,f194,f13389]) ).
fof(f13389,plain,
( spl14_1037
<=> k16_cat_2(k11_cat_2(sK0,sK2),sK2) = k8_isocat_2(k11_cat_2(sK0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1037])]) ).
fof(f13160,plain,
( spl14_1033
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK2),sK2) = k8_isocat_2(k11_cat_2(X0,sK2),sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1033])]) ).
fof(f13288,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(k11_cat_2(sK0,sK2),sK2) = k8_isocat_2(k11_cat_2(sK0,sK2),sK2)
| ~ spl14_2
| ~ spl14_1033 ),
inference(resolution,[],[f13161,f201]) ).
fof(f13161,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK2),sK2) = k8_isocat_2(k11_cat_2(X0,sK2),sK2) )
| ~ spl14_1033 ),
inference(avatar_component_clause,[],[f13160]) ).
fof(f13387,plain,
( spl14_1036
| ~ spl14_58
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3303,f3258,f501,f13385]) ).
fof(f13385,plain,
( spl14_1036
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1036])]) ).
fof(f3303,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_327 ),
inference(duplicate_literal_removal,[],[f3298]) ).
fof(f3298,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_327 ),
inference(resolution,[],[f3259,f502]) ).
fof(f13383,plain,
( spl14_1035
| ~ spl14_58
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3291,f3254,f501,f13381]) ).
fof(f13381,plain,
( spl14_1035
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1035])]) ).
fof(f3291,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_326 ),
inference(duplicate_literal_removal,[],[f3286]) ).
fof(f3286,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k2_isocat_1(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X8,X6,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_326 ),
inference(resolution,[],[f3255,f502]) ).
fof(f13379,plain,
( spl14_1034
| ~ spl14_58
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3273,f3250,f501,f13377]) ).
fof(f13377,plain,
( spl14_1034
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1034])]) ).
fof(f3273,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_325 ),
inference(duplicate_literal_removal,[],[f3268]) ).
fof(f3268,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k2_isocat_1(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X6,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ m2_cat_1(X7,X1,X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_325 ),
inference(resolution,[],[f3251,f502]) ).
fof(f13162,plain,
( ~ spl14_5
| spl14_1033
| ~ spl14_6
| ~ spl14_412 ),
inference(avatar_split_clause,[],[f4317,f4284,f219,f13160,f214]) ).
fof(f4284,plain,
( spl14_412
<=> ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK2) = k8_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_412])]) ).
fof(f4317,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK2),sK2) = k8_isocat_2(k11_cat_2(X0,sK2),sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_412 ),
inference(resolution,[],[f4285,f221]) ).
fof(f4285,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k16_cat_2(k11_cat_2(X0,X1),sK2) = k8_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_412 ),
inference(avatar_component_clause,[],[f4284]) ).
fof(f12897,plain,
( spl14_1032
| ~ spl14_56
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3665,f3626,f488,f12895]) ).
fof(f12895,plain,
( spl14_1032
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X1,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1032])]) ).
fof(f3665,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X1,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_56
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3652]) ).
fof(f3652,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X1,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_351 ),
inference(resolution,[],[f3627,f489]) ).
fof(f12893,plain,
( spl14_1031
| ~ spl14_5
| ~ spl14_6
| ~ spl14_993 ),
inference(avatar_split_clause,[],[f12761,f12719,f219,f214,f12890]) ).
fof(f12890,plain,
( spl14_1031
<=> k16_cat_2(k11_cat_2(sK2,sK1),sK2) = k8_isocat_2(k11_cat_2(sK2,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1031])]) ).
fof(f12719,plain,
( spl14_993
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK1),sK2) = k8_isocat_2(k11_cat_2(X0,sK1),sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_993])]) ).
fof(f12761,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(k11_cat_2(sK2,sK1),sK2) = k8_isocat_2(k11_cat_2(sK2,sK1),sK2)
| ~ spl14_6
| ~ spl14_993 ),
inference(resolution,[],[f12720,f221]) ).
fof(f12720,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK1),sK2) = k8_isocat_2(k11_cat_2(X0,sK1),sK2) )
| ~ spl14_993 ),
inference(avatar_component_clause,[],[f12719]) ).
fof(f12888,plain,
( spl14_1030
| ~ spl14_57
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3664,f3626,f492,f12886]) ).
fof(f12886,plain,
( spl14_1030
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1030])]) ).
fof(f3664,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_57
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3653]) ).
fof(f3653,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_351 ),
inference(resolution,[],[f3627,f493]) ).
fof(f12884,plain,
( spl14_1029
| ~ spl14_56
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3645,f3617,f488,f12882]) ).
fof(f12882,plain,
( spl14_1029
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X1,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1029])]) ).
fof(f3645,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X1,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_56
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3632]) ).
fof(f3632,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k11_isocat_2(X5,k11_cat_2(X1,X0),X7,X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X1,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_349 ),
inference(resolution,[],[f3618,f489]) ).
fof(f12880,plain,
( spl14_1028
| ~ spl14_57
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3644,f3617,f492,f12878]) ).
fof(f12878,plain,
( spl14_1028
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1028])]) ).
fof(f3644,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_57
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3633]) ).
fof(f3633,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X1,X0),X8))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_349 ),
inference(resolution,[],[f3618,f493]) ).
fof(f12876,plain,
( spl14_1027
| ~ spl14_56
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3566,f3421,f488,f12874]) ).
fof(f12874,plain,
( spl14_1027
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1027])]) ).
fof(f3566,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3553]) ).
fof(f3553,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_344 ),
inference(resolution,[],[f3422,f489]) ).
fof(f12872,plain,
( spl14_1026
| ~ spl14_57
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3565,f3421,f492,f12870]) ).
fof(f12870,plain,
( spl14_1026
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1026])]) ).
fof(f3565,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3554]) ).
fof(f3554,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_344 ),
inference(resolution,[],[f3422,f493]) ).
fof(f12868,plain,
( spl14_1025
| ~ spl14_56
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3550,f3417,f488,f12866]) ).
fof(f12866,plain,
( spl14_1025
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1025])]) ).
fof(f3550,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3537]) ).
fof(f3537,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_343 ),
inference(resolution,[],[f3418,f489]) ).
fof(f12864,plain,
( spl14_1024
| ~ spl14_57
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3549,f3417,f492,f12862]) ).
fof(f12862,plain,
( spl14_1024
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1024])]) ).
fof(f3549,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3538]) ).
fof(f3538,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_343 ),
inference(resolution,[],[f3418,f493]) ).
fof(f12860,plain,
( spl14_1023
| ~ spl14_56
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3534,f3413,f488,f12858]) ).
fof(f12858,plain,
( spl14_1023
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1023])]) ).
fof(f3534,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3521]) ).
fof(f3521,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X4,X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_342 ),
inference(resolution,[],[f3414,f489]) ).
fof(f12856,plain,
( spl14_1022
| ~ spl14_57
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3533,f3413,f492,f12854]) ).
fof(f12854,plain,
( spl14_1022
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1022])]) ).
fof(f3533,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3522]) ).
fof(f3522,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X0,X2)),X5),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_342 ),
inference(resolution,[],[f3414,f493]) ).
fof(f12852,plain,
( spl14_1021
| ~ spl14_56
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3518,f3409,f488,f12850]) ).
fof(f12850,plain,
( spl14_1021
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1021])]) ).
fof(f3518,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3505]) ).
fof(f3505,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X4,X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_341 ),
inference(resolution,[],[f3410,f489]) ).
fof(f12847,plain,
( spl14_1020
| ~ spl14_57
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3517,f3409,f492,f12845]) ).
fof(f12845,plain,
( spl14_1020
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1020])]) ).
fof(f3517,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3506]) ).
fof(f3506,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X0,X1),X2),X5),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_341 ),
inference(resolution,[],[f3410,f493]) ).
fof(f12843,plain,
( spl14_1019
| ~ spl14_56
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3502,f3405,f488,f12841]) ).
fof(f12841,plain,
( spl14_1019
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1019])]) ).
fof(f3502,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3489]) ).
fof(f3489,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_340 ),
inference(resolution,[],[f3406,f489]) ).
fof(f12839,plain,
( spl14_1018
| ~ spl14_57
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3501,f3405,f492,f12837]) ).
fof(f12837,plain,
( spl14_1018
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1018])]) ).
fof(f3501,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3490]) ).
fof(f3490,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_340 ),
inference(resolution,[],[f3406,f493]) ).
fof(f12835,plain,
( spl14_1017
| ~ spl14_56
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3486,f3401,f488,f12833]) ).
fof(f12833,plain,
( spl14_1017
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1017])]) ).
fof(f3486,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3473]) ).
fof(f3473,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_339 ),
inference(resolution,[],[f3402,f489]) ).
fof(f12831,plain,
( spl14_1016
| ~ spl14_57
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3485,f3401,f492,f12829]) ).
fof(f12829,plain,
( spl14_1016
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1016])]) ).
fof(f3485,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3474]) ).
fof(f3474,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_339 ),
inference(resolution,[],[f3402,f493]) ).
fof(f12827,plain,
( spl14_1015
| ~ spl14_56
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3470,f3397,f488,f12825]) ).
fof(f12825,plain,
( spl14_1015
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1015])]) ).
fof(f3470,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3457]) ).
fof(f3457,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X4,X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_338 ),
inference(resolution,[],[f3398,f489]) ).
fof(f12823,plain,
( spl14_1014
| ~ spl14_57
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3469,f3397,f492,f12821]) ).
fof(f12821,plain,
( spl14_1014
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1014])]) ).
fof(f3469,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3458]) ).
fof(f3458,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(X1,k11_cat_2(X2,X0)),X5),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_338 ),
inference(resolution,[],[f3398,f493]) ).
fof(f12819,plain,
( spl14_1013
| ~ spl14_56
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3454,f3393,f488,f12817]) ).
fof(f12817,plain,
( spl14_1013
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1013])]) ).
fof(f3454,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3441]) ).
fof(f3441,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k11_isocat_2(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X4,X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_337 ),
inference(resolution,[],[f3394,f489]) ).
fof(f12815,plain,
( spl14_1012
| ~ spl14_57
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3453,f3393,f492,f12813]) ).
fof(f12813,plain,
( spl14_1012
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1012])]) ).
fof(f3453,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3442]) ).
fof(f3442,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(k12_isocat_2(X3,X4,k11_cat_2(k11_cat_2(X1,X0),X2),X5),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X3,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_337 ),
inference(resolution,[],[f3394,f493]) ).
fof(f12811,plain,
( spl14_1011
| ~ spl14_56
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3317,f3262,f488,f12809]) ).
fof(f12809,plain,
( spl14_1011
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X6,X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1011])]) ).
fof(f3317,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X6,X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5)) )
| ~ spl14_56
| ~ spl14_328 ),
inference(duplicate_literal_removal,[],[f3308]) ).
fof(f3308,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X6,X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_328 ),
inference(resolution,[],[f3263,f489]) ).
fof(f12807,plain,
( spl14_1010
| ~ spl14_1
| ~ spl14_2
| ~ spl14_993 ),
inference(avatar_split_clause,[],[f12759,f12719,f199,f194,f12804]) ).
fof(f12804,plain,
( spl14_1010
<=> k16_cat_2(k11_cat_2(sK0,sK1),sK2) = k8_isocat_2(k11_cat_2(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1010])]) ).
fof(f12759,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(k11_cat_2(sK0,sK1),sK2) = k8_isocat_2(k11_cat_2(sK0,sK1),sK2)
| ~ spl14_2
| ~ spl14_993 ),
inference(resolution,[],[f12720,f201]) ).
fof(f12802,plain,
( spl14_1009
| ~ spl14_57
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3316,f3262,f492,f12800]) ).
fof(f12800,plain,
( spl14_1009
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(k11_cat_2(X0,X4),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1009])]) ).
fof(f3316,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(k11_cat_2(X0,X4),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_328 ),
inference(duplicate_literal_removal,[],[f3309]) ).
fof(f3309,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X0,X4),X5),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(k11_cat_2(X0,X4),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_328 ),
inference(resolution,[],[f3263,f493]) ).
fof(f12798,plain,
( spl14_1008
| ~ spl14_56
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3305,f3258,f488,f12796]) ).
fof(f12796,plain,
( spl14_1008
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),X6,X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(X5,k11_cat_2(X0,X4)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1008])]) ).
fof(f3305,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),X6,X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(X5,k11_cat_2(X0,X4)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4))) )
| ~ spl14_56
| ~ spl14_327 ),
inference(duplicate_literal_removal,[],[f3296]) ).
fof(f3296,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),X6,X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(X5,k11_cat_2(X0,X4)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_327 ),
inference(resolution,[],[f3259,f489]) ).
fof(f12794,plain,
( spl14_1007
| ~ spl14_57
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3304,f3258,f492,f12792]) ).
fof(f12792,plain,
( spl14_1007
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X0,X4))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1007])]) ).
fof(f3304,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X0,X4))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_327 ),
inference(duplicate_literal_removal,[],[f3297]) ).
fof(f3297,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X0,X4)),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X0,X4))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_327 ),
inference(resolution,[],[f3259,f493]) ).
fof(f12790,plain,
( spl14_1006
| ~ spl14_56
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3293,f3254,f488,f12788]) ).
fof(f12788,plain,
( spl14_1006
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X6,X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1006])]) ).
fof(f3293,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X6,X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5)) )
| ~ spl14_56
| ~ spl14_326 ),
inference(duplicate_literal_removal,[],[f3284]) ).
fof(f3284,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X6,X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k11_isocat_2(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_326 ),
inference(resolution,[],[f3255,f489]) ).
fof(f12786,plain,
( spl14_1005
| ~ spl14_57
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3292,f3254,f492,f12784]) ).
fof(f12784,plain,
( spl14_1005
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(k11_cat_2(X4,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1005])]) ).
fof(f3292,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(k11_cat_2(X4,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_326 ),
inference(duplicate_literal_removal,[],[f3285]) ).
fof(f3285,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,k12_isocat_2(X1,X6,k11_cat_2(k11_cat_2(X4,X0),X5),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(k11_cat_2(X4,X0),X5)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_326 ),
inference(resolution,[],[f3255,f493]) ).
fof(f12782,plain,
( spl14_1004
| ~ spl14_56
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3275,f3250,f488,f12780]) ).
fof(f12780,plain,
( spl14_1004
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),X6,X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(X5,k11_cat_2(X4,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1004])]) ).
fof(f3275,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),X6,X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(X5,k11_cat_2(X4,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0))) )
| ~ spl14_56
| ~ spl14_325 ),
inference(duplicate_literal_removal,[],[f3266]) ).
fof(f3266,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),X6,X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k11_isocat_2(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),X6,X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(k11_cat_2(X5,k11_cat_2(X4,X0)),X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_325 ),
inference(resolution,[],[f3251,f489]) ).
fof(f12778,plain,
( spl14_1003
| ~ spl14_57
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3274,f3250,f492,f12776]) ).
fof(f12776,plain,
( spl14_1003
<=> ! [X6,X4,X3,X0,X7,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X4,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1003])]) ).
fof(f3274,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X4,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_325 ),
inference(duplicate_literal_removal,[],[f3267]) ).
fof(f3267,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),k12_isocat_2(X1,X6,k11_cat_2(X5,k11_cat_2(X4,X0)),X7))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X7,X1,k11_cat_2(X6,k11_cat_2(X5,k11_cat_2(X4,X0))))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_325 ),
inference(resolution,[],[f3251,f493]) ).
fof(f12774,plain,
( spl14_1002
| ~ spl14_52
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3043,f2921,f459,f12772]) ).
fof(f12772,plain,
( spl14_1002
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k9_isocat_2(X4,k11_cat_2(X0,X5))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k9_isocat_2(X4,k11_cat_2(X0,X5)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1002])]) ).
fof(f2921,plain,
( spl14_315
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X3,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_315])]) ).
fof(f3043,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k9_isocat_2(X4,k11_cat_2(X0,X5))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k9_isocat_2(X4,k11_cat_2(X0,X5)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_315 ),
inference(resolution,[],[f2922,f460]) ).
fof(f2922,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X7,X4,k11_cat_2(X3,X6))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_315 ),
inference(avatar_component_clause,[],[f2921]) ).
fof(f12770,plain,
( spl14_1001
| ~ spl14_51
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3042,f2921,f455,f12768]) ).
fof(f12768,plain,
( spl14_1001
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k8_isocat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k8_isocat_2(k11_cat_2(X0,X4),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1001])]) ).
fof(f3042,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k8_isocat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k8_isocat_2(k11_cat_2(X0,X4),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4)) )
| ~ spl14_51
| ~ spl14_315 ),
inference(resolution,[],[f2922,f456]) ).
fof(f12766,plain,
( spl14_1000
| ~ spl14_50
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3041,f2921,f451,f12764]) ).
fof(f12764,plain,
( spl14_1000
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k17_cat_2(X4,k11_cat_2(X0,X5))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k17_cat_2(X4,k11_cat_2(X0,X5)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1000])]) ).
fof(f3041,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k17_cat_2(X4,k11_cat_2(X0,X5))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X6,k11_isocat_2(k11_cat_2(X4,k11_cat_2(X0,X5)),X0,X5,k17_cat_2(X4,k11_cat_2(X0,X5)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X0,X5)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_315 ),
inference(resolution,[],[f2922,f452]) ).
fof(f12753,plain,
( spl14_999
| ~ spl14_49
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3040,f2921,f447,f12751]) ).
fof(f12751,plain,
( spl14_999
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k16_cat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k16_cat_2(k11_cat_2(X0,X4),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_999])]) ).
fof(f3040,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k16_cat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),X0,X6,k11_isocat_2(k11_cat_2(k11_cat_2(X0,X4),X5),X0,X4,k16_cat_2(k11_cat_2(X0,X4),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4)) )
| ~ spl14_49
| ~ spl14_315 ),
inference(resolution,[],[f2922,f448]) ).
fof(f12749,plain,
( spl14_998
| ~ spl14_52
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3021,f2917,f459,f12747]) ).
fof(f12747,plain,
( spl14_998
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k9_isocat_2(X4,k11_cat_2(X5,X0))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k9_isocat_2(X4,k11_cat_2(X5,X0)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_998])]) ).
fof(f2917,plain,
( spl14_314
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X3))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_314])]) ).
fof(f3021,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k9_isocat_2(X4,k11_cat_2(X5,X0))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k9_isocat_2(X4,k11_cat_2(X5,X0)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_314 ),
inference(resolution,[],[f2918,f460]) ).
fof(f2918,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X7,X4,k11_cat_2(X6,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_314 ),
inference(avatar_component_clause,[],[f2917]) ).
fof(f12745,plain,
( spl14_997
| ~ spl14_51
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3020,f2917,f455,f12743]) ).
fof(f12743,plain,
( spl14_997
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k8_isocat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k8_isocat_2(k11_cat_2(X4,X0),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_997])]) ).
fof(f3020,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k8_isocat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k8_isocat_2(k11_cat_2(X4,X0),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0)) )
| ~ spl14_51
| ~ spl14_314 ),
inference(resolution,[],[f2918,f456]) ).
fof(f12741,plain,
( spl14_996
| ~ spl14_50
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3019,f2917,f451,f12739]) ).
fof(f12739,plain,
( spl14_996
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k17_cat_2(X4,k11_cat_2(X5,X0))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k17_cat_2(X4,k11_cat_2(X5,X0)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_996])]) ).
fof(f3019,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k17_cat_2(X4,k11_cat_2(X5,X0))))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,k11_cat_2(X5,X0)),X0,X6,k12_isocat_2(k11_cat_2(X4,k11_cat_2(X5,X0)),X5,X0,k17_cat_2(X4,k11_cat_2(X5,X0)))))
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ l1_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ v2_cat_1(k11_cat_2(X4,k11_cat_2(X5,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_314 ),
inference(resolution,[],[f2918,f452]) ).
fof(f12737,plain,
( spl14_995
| ~ spl14_49
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3018,f2917,f447,f12735]) ).
fof(f12735,plain,
( spl14_995
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k16_cat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k16_cat_2(k11_cat_2(X4,X0),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_995])]) ).
fof(f3018,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k16_cat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),X0,X6,k12_isocat_2(k11_cat_2(k11_cat_2(X4,X0),X5),X4,X0,k16_cat_2(k11_cat_2(X4,X0),X5))))
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0)) )
| ~ spl14_49
| ~ spl14_314 ),
inference(resolution,[],[f2918,f448]) ).
fof(f12725,plain,
( spl14_994
| ~ spl14_46
| ~ spl14_372 ),
inference(avatar_split_clause,[],[f4046,f3975,f425,f12723]) ).
fof(f12723,plain,
( spl14_994
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_994])]) ).
fof(f4046,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_372 ),
inference(duplicate_literal_removal,[],[f4031]) ).
fof(f4031,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_372 ),
inference(resolution,[],[f3976,f426]) ).
fof(f12721,plain,
( ~ spl14_3
| spl14_993
| ~ spl14_4
| ~ spl14_412 ),
inference(avatar_split_clause,[],[f4316,f4284,f209,f12719,f204]) ).
fof(f4316,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK1),sK2) = k8_isocat_2(k11_cat_2(X0,sK1),sK2)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_412 ),
inference(resolution,[],[f4285,f211]) ).
fof(f12717,plain,
( spl14_992
| ~ spl14_46
| ~ spl14_371 ),
inference(avatar_split_clause,[],[f4030,f3971,f425,f12715]) ).
fof(f12715,plain,
( spl14_992
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_992])]) ).
fof(f4030,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_371 ),
inference(duplicate_literal_removal,[],[f4015]) ).
fof(f4015,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_371 ),
inference(resolution,[],[f3972,f426]) ).
fof(f12713,plain,
( spl14_991
| ~ spl14_46
| ~ spl14_370 ),
inference(avatar_split_clause,[],[f4014,f3967,f425,f12711]) ).
fof(f12711,plain,
( spl14_991
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_991])]) ).
fof(f4014,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_370 ),
inference(duplicate_literal_removal,[],[f3999]) ).
fof(f3999,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,sK8(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_370 ),
inference(resolution,[],[f3968,f426]) ).
fof(f12709,plain,
( spl14_990
| ~ spl14_46
| ~ spl14_369 ),
inference(avatar_split_clause,[],[f3993,f3963,f425,f12707]) ).
fof(f12707,plain,
( spl14_990
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_990])]) ).
fof(f3993,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_369 ),
inference(duplicate_literal_removal,[],[f3978]) ).
fof(f3978,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,sK8(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_369 ),
inference(resolution,[],[f3964,f426]) ).
fof(f12576,plain,
( spl14_989
| ~ spl14_49
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3358,f3324,f447,f12574]) ).
fof(f12574,plain,
( spl14_989
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k16_cat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k16_cat_2(k11_cat_2(X0,X4),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_989])]) ).
fof(f3324,plain,
( spl14_331
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X3,X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_331])]) ).
fof(f3358,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k16_cat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k16_cat_2(k11_cat_2(X0,X4),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_49
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3351]) ).
fof(f3351,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k16_cat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k16_cat_2(k11_cat_2(X0,X4),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4)) )
| ~ spl14_49
| ~ spl14_331 ),
inference(resolution,[],[f3325,f448]) ).
fof(f3325,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X7,X5,k11_cat_2(X3,X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_331 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f12572,plain,
( spl14_988
| ~ spl14_50
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3357,f3324,f451,f12570]) ).
fof(f12570,plain,
( spl14_988
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k17_cat_2(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k17_cat_2(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_988])]) ).
fof(f3357,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k17_cat_2(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k17_cat_2(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3352]) ).
fof(f3352,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k17_cat_2(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k17_cat_2(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_331 ),
inference(resolution,[],[f3325,f452]) ).
fof(f12568,plain,
( spl14_987
| ~ spl14_51
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3356,f3324,f455,f12566]) ).
fof(f12566,plain,
( spl14_987
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k8_isocat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k8_isocat_2(k11_cat_2(X0,X4),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_987])]) ).
fof(f3356,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k8_isocat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k8_isocat_2(k11_cat_2(X0,X4),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_51
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3353]) ).
fof(f3353,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k8_isocat_2(k11_cat_2(X0,X4),X5)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X0,X4),X5),k11_cat_2(X0,X4),X6,k8_isocat_2(k11_cat_2(X0,X4),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4)) )
| ~ spl14_51
| ~ spl14_331 ),
inference(resolution,[],[f3325,f456]) ).
fof(f12564,plain,
( spl14_986
| ~ spl14_52
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3355,f3324,f459,f12562]) ).
fof(f12562,plain,
( spl14_986
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k9_isocat_2(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k9_isocat_2(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_986])]) ).
fof(f3355,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k9_isocat_2(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k9_isocat_2(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3354]) ).
fof(f3354,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k9_isocat_2(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X0,X4)),k11_cat_2(X0,X4),X6,k9_isocat_2(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_331 ),
inference(resolution,[],[f3325,f460]) ).
fof(f12560,plain,
( spl14_985
| ~ spl14_49
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3340,f3320,f447,f12558]) ).
fof(f12558,plain,
( spl14_985
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k16_cat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k16_cat_2(k11_cat_2(X4,X0),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_985])]) ).
fof(f3320,plain,
( spl14_330
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X3))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_330])]) ).
fof(f3340,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k16_cat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k16_cat_2(k11_cat_2(X4,X0),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_49
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3333]) ).
fof(f3333,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k16_cat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k16_cat_2(k11_cat_2(X4,X0),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0)) )
| ~ spl14_49
| ~ spl14_330 ),
inference(resolution,[],[f3321,f448]) ).
fof(f3321,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X7,X5,k11_cat_2(X4,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_330 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f12556,plain,
( spl14_984
| ~ spl14_50
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3339,f3320,f451,f12554]) ).
fof(f12554,plain,
( spl14_984
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k17_cat_2(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k17_cat_2(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_984])]) ).
fof(f3339,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k17_cat_2(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k17_cat_2(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3334]) ).
fof(f3334,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k17_cat_2(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k17_cat_2(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_50
| ~ spl14_330 ),
inference(resolution,[],[f3321,f452]) ).
fof(f12552,plain,
( spl14_983
| ~ spl14_51
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3338,f3320,f455,f12550]) ).
fof(f12550,plain,
( spl14_983
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k8_isocat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k8_isocat_2(k11_cat_2(X4,X0),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_983])]) ).
fof(f3338,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k8_isocat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k8_isocat_2(k11_cat_2(X4,X0),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_51
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3335]) ).
fof(f3335,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k8_isocat_2(k11_cat_2(X4,X0),X5)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(k11_cat_2(X4,X0),X5),k11_cat_2(X4,X0),X6,k8_isocat_2(k11_cat_2(X4,X0),X5))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0)) )
| ~ spl14_51
| ~ spl14_330 ),
inference(resolution,[],[f3321,f456]) ).
fof(f12548,plain,
( spl14_982
| ~ spl14_52
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3337,f3320,f459,f12546]) ).
fof(f12546,plain,
( spl14_982
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k9_isocat_2(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k9_isocat_2(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_982])]) ).
fof(f3337,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k9_isocat_2(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k9_isocat_2(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3336]) ).
fof(f3336,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k9_isocat_2(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,k11_cat_2(X5,k11_cat_2(X4,X0)),k11_cat_2(X4,X0),X6,k9_isocat_2(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_52
| ~ spl14_330 ),
inference(resolution,[],[f3321,f460]) ).
fof(f12542,plain,
( spl14_981
| ~ spl14_5
| ~ spl14_6
| ~ spl14_965 ),
inference(avatar_split_clause,[],[f12298,f12218,f219,f214,f12539]) ).
fof(f12539,plain,
( spl14_981
<=> k16_cat_2(k11_cat_2(sK2,sK0),sK2) = k8_isocat_2(k11_cat_2(sK2,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_981])]) ).
fof(f12218,plain,
( spl14_965
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK0),sK2) = k8_isocat_2(k11_cat_2(X0,sK0),sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_965])]) ).
fof(f12298,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(k11_cat_2(sK2,sK0),sK2) = k8_isocat_2(k11_cat_2(sK2,sK0),sK2)
| ~ spl14_6
| ~ spl14_965 ),
inference(resolution,[],[f12219,f221]) ).
fof(f12219,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK0),sK2) = k8_isocat_2(k11_cat_2(X0,sK0),sK2) )
| ~ spl14_965 ),
inference(avatar_component_clause,[],[f12218]) ).
fof(f12402,plain,
( spl14_980
| ~ spl14_46
| ~ spl14_348 ),
inference(avatar_split_clause,[],[f3615,f3437,f425,f12400]) ).
fof(f12400,plain,
( spl14_980
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_980])]) ).
fof(f3615,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) )
| ~ spl14_46
| ~ spl14_348 ),
inference(duplicate_literal_removal,[],[f3604]) ).
fof(f3604,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_348 ),
inference(resolution,[],[f3438,f426]) ).
fof(f12398,plain,
( spl14_979
| ~ spl14_46
| ~ spl14_347 ),
inference(avatar_split_clause,[],[f3603,f3433,f425,f12396]) ).
fof(f12396,plain,
( spl14_979
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_979])]) ).
fof(f3603,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) )
| ~ spl14_46
| ~ spl14_347 ),
inference(duplicate_literal_removal,[],[f3592]) ).
fof(f3592,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0))))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_347 ),
inference(resolution,[],[f3434,f426]) ).
fof(f12394,plain,
( spl14_978
| ~ spl14_46
| ~ spl14_346 ),
inference(avatar_split_clause,[],[f3591,f3429,f425,f12392]) ).
fof(f12392,plain,
( spl14_978
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_978])]) ).
fof(f3591,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5)) )
| ~ spl14_46
| ~ spl14_346 ),
inference(duplicate_literal_removal,[],[f3580]) ).
fof(f3580,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X5)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_346 ),
inference(resolution,[],[f3430,f426]) ).
fof(f12390,plain,
( spl14_977
| ~ spl14_46
| ~ spl14_345 ),
inference(avatar_split_clause,[],[f3579,f3425,f425,f12388]) ).
fof(f12388,plain,
( spl14_977
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_977])]) ).
fof(f3579,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0))) )
| ~ spl14_46
| ~ spl14_345 ),
inference(duplicate_literal_removal,[],[f3568]) ).
fof(f3568,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0)))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),sK8(X3,k11_cat_2(X5,k11_cat_2(X1,X0))))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_345 ),
inference(resolution,[],[f3426,f426]) ).
fof(f12386,plain,
( spl14_976
| ~ spl14_58
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2895,f2762,f501,f12384]) ).
fof(f12384,plain,
( spl14_976
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_976])]) ).
fof(f2895,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_308 ),
inference(duplicate_literal_removal,[],[f2890]) ).
fof(f2890,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_308 ),
inference(resolution,[],[f2763,f502]) ).
fof(f12382,plain,
( spl14_975
| ~ spl14_58
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2883,f2758,f501,f12380]) ).
fof(f12380,plain,
( spl14_975
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_975])]) ).
fof(f2883,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_307 ),
inference(duplicate_literal_removal,[],[f2878]) ).
fof(f2878,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_307 ),
inference(resolution,[],[f2759,f502]) ).
fof(f12378,plain,
( spl14_974
| ~ spl14_58
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2863,f2733,f501,f12376]) ).
fof(f12376,plain,
( spl14_974
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_974])]) ).
fof(f2863,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_301 ),
inference(duplicate_literal_removal,[],[f2858]) ).
fof(f2858,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_301 ),
inference(resolution,[],[f2734,f502]) ).
fof(f12374,plain,
( spl14_973
| ~ spl14_58
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2851,f2729,f501,f12372]) ).
fof(f12372,plain,
( spl14_973
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_973])]) ).
fof(f2851,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_300 ),
inference(duplicate_literal_removal,[],[f2846]) ).
fof(f2846,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_300 ),
inference(resolution,[],[f2730,f502]) ).
fof(f12370,plain,
( spl14_972
| ~ spl14_58
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2826,f2709,f501,f12368]) ).
fof(f12368,plain,
( spl14_972
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_972])]) ).
fof(f2826,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_295 ),
inference(duplicate_literal_removal,[],[f2821]) ).
fof(f2821,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5,X6)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_295 ),
inference(resolution,[],[f2710,f502]) ).
fof(f12366,plain,
( spl14_971
| ~ spl14_3
| ~ spl14_4
| ~ spl14_965 ),
inference(avatar_split_clause,[],[f12297,f12218,f209,f204,f12363]) ).
fof(f12363,plain,
( spl14_971
<=> k16_cat_2(k11_cat_2(sK1,sK0),sK2) = k8_isocat_2(k11_cat_2(sK1,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_971])]) ).
fof(f12297,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(k11_cat_2(sK1,sK0),sK2) = k8_isocat_2(k11_cat_2(sK1,sK0),sK2)
| ~ spl14_4
| ~ spl14_965 ),
inference(resolution,[],[f12219,f211]) ).
fof(f12361,plain,
( spl14_970
| ~ spl14_58
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2814,f2705,f501,f12359]) ).
fof(f12359,plain,
( spl14_970
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_970])]) ).
fof(f2814,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_294 ),
inference(duplicate_literal_removal,[],[f2809]) ).
fof(f2809,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5,X6)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_294 ),
inference(resolution,[],[f2706,f502]) ).
fof(f12357,plain,
( spl14_969
| ~ spl14_58
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2794,f2684,f501,f12355]) ).
fof(f12355,plain,
( spl14_969
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_969])]) ).
fof(f2794,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_289 ),
inference(duplicate_literal_removal,[],[f2789]) ).
fof(f2789,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_289 ),
inference(resolution,[],[f2685,f502]) ).
fof(f12353,plain,
( spl14_968
| ~ spl14_58
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2781,f2680,f501,f12351]) ).
fof(f12351,plain,
( spl14_968
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_968])]) ).
fof(f2781,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_288 ),
inference(duplicate_literal_removal,[],[f2776]) ).
fof(f2776,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_288 ),
inference(resolution,[],[f2681,f502]) ).
fof(f12313,plain,
( spl14_967
| ~ spl14_58
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3359,f3324,f501,f12311]) ).
fof(f12311,plain,
( spl14_967
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k2_isocat_1(X5,X7,k11_cat_2(X0,X4),X8,X9)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k2_isocat_1(X5,X7,k11_cat_2(X0,X4),X8,X9))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X0,X4))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_967])]) ).
fof(f3359,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k2_isocat_1(X5,X7,k11_cat_2(X0,X4),X8,X9)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k2_isocat_1(X5,X7,k11_cat_2(X0,X4),X8,X9))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X0,X4))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_58
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3350]) ).
fof(f3350,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k2_isocat_1(X5,X7,k11_cat_2(X0,X4),X8,X9)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k2_isocat_1(X5,X7,k11_cat_2(X0,X4),X8,X9))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X0,X4))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_331 ),
inference(resolution,[],[f3325,f502]) ).
fof(f12309,plain,
( spl14_966
| ~ spl14_58
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3341,f3320,f501,f12307]) ).
fof(f12307,plain,
( spl14_966
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X4,X0),X8,X9)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X4,X0),X8,X9))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X4,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_966])]) ).
fof(f3341,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X4,X0),X8,X9)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X4,X0),X8,X9))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X4,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_58
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3332]) ).
fof(f3332,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X4,X0),X8,X9)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k2_isocat_1(X5,X7,k11_cat_2(X4,X0),X8,X9))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X9,X7,k11_cat_2(X4,X0))
| ~ m2_cat_1(X8,X5,X7)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_330 ),
inference(resolution,[],[f3321,f502]) ).
fof(f12220,plain,
( ~ spl14_1
| spl14_965
| ~ spl14_2
| ~ spl14_412 ),
inference(avatar_split_clause,[],[f4315,f4284,f199,f12218,f194]) ).
fof(f4315,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK0),sK2) = k8_isocat_2(k11_cat_2(X0,sK0),sK2)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_412 ),
inference(resolution,[],[f4285,f201]) ).
fof(f12083,plain,
( spl14_964
| ~ spl14_46
| ~ spl14_359 ),
inference(avatar_split_clause,[],[f3828,f3698,f425,f12081]) ).
fof(f12081,plain,
( spl14_964
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_964])]) ).
fof(f3828,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_359 ),
inference(duplicate_literal_removal,[],[f3813]) ).
fof(f3813,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_359 ),
inference(resolution,[],[f3699,f426]) ).
fof(f12079,plain,
( spl14_963
| ~ spl14_46
| ~ spl14_358 ),
inference(avatar_split_clause,[],[f3812,f3694,f425,f12077]) ).
fof(f12077,plain,
( spl14_963
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_963])]) ).
fof(f3812,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_358 ),
inference(duplicate_literal_removal,[],[f3797]) ).
fof(f3797,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_358 ),
inference(resolution,[],[f3695,f426]) ).
fof(f12075,plain,
( spl14_962
| ~ spl14_46
| ~ spl14_357 ),
inference(avatar_split_clause,[],[f3796,f3690,f425,f12073]) ).
fof(f12073,plain,
( spl14_962
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_962])]) ).
fof(f3796,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_357 ),
inference(duplicate_literal_removal,[],[f3781]) ).
fof(f3781,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_357 ),
inference(resolution,[],[f3691,f426]) ).
fof(f12071,plain,
( spl14_961
| ~ spl14_46
| ~ spl14_356 ),
inference(avatar_split_clause,[],[f3780,f3686,f425,f12069]) ).
fof(f12069,plain,
( spl14_961
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_961])]) ).
fof(f3780,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_356 ),
inference(duplicate_literal_removal,[],[f3765]) ).
fof(f3765,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_356 ),
inference(resolution,[],[f3687,f426]) ).
fof(f12067,plain,
( spl14_960
| ~ spl14_46
| ~ spl14_355 ),
inference(avatar_split_clause,[],[f3764,f3682,f425,f12065]) ).
fof(f12065,plain,
( spl14_960
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_960])]) ).
fof(f3764,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_355 ),
inference(duplicate_literal_removal,[],[f3749]) ).
fof(f3749,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_355 ),
inference(resolution,[],[f3683,f426]) ).
fof(f12063,plain,
( spl14_959
| ~ spl14_46
| ~ spl14_354 ),
inference(avatar_split_clause,[],[f3748,f3678,f425,f12061]) ).
fof(f12061,plain,
( spl14_959
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_959])]) ).
fof(f3748,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_354 ),
inference(duplicate_literal_removal,[],[f3733]) ).
fof(f3733,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_354 ),
inference(resolution,[],[f3679,f426]) ).
fof(f12059,plain,
( spl14_958
| ~ spl14_46
| ~ spl14_353 ),
inference(avatar_split_clause,[],[f3732,f3674,f425,f12057]) ).
fof(f12057,plain,
( spl14_958
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_958])]) ).
fof(f3732,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_353 ),
inference(duplicate_literal_removal,[],[f3717]) ).
fof(f3717,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_353 ),
inference(resolution,[],[f3675,f426]) ).
fof(f12055,plain,
( spl14_957
| ~ spl14_46
| ~ spl14_352 ),
inference(avatar_split_clause,[],[f3716,f3670,f425,f12053]) ).
fof(f12053,plain,
( spl14_957
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_957])]) ).
fof(f3716,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_352 ),
inference(duplicate_literal_removal,[],[f3701]) ).
fof(f3701,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_352 ),
inference(resolution,[],[f3671,f426]) ).
fof(f12051,plain,
( spl14_956
| ~ spl14_56
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2897,f2762,f488,f12049]) ).
fof(f12049,plain,
( spl14_956
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_956])]) ).
fof(f2897,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) )
| ~ spl14_56
| ~ spl14_308 ),
inference(duplicate_literal_removal,[],[f2888]) ).
fof(f2888,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_308 ),
inference(resolution,[],[f2763,f489]) ).
fof(f12047,plain,
( spl14_955
| ~ spl14_1
| ~ spl14_2
| ~ spl14_939 ),
inference(avatar_split_clause,[],[f11999,f11905,f199,f194,f12044]) ).
fof(f12044,plain,
( spl14_955
<=> k16_cat_2(k11_cat_2(sK0,sK2),sK1) = k8_isocat_2(k11_cat_2(sK0,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_955])]) ).
fof(f11905,plain,
( spl14_939
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK2),sK1) = k8_isocat_2(k11_cat_2(X0,sK2),sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_939])]) ).
fof(f11999,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(k11_cat_2(sK0,sK2),sK1) = k8_isocat_2(k11_cat_2(sK0,sK2),sK1)
| ~ spl14_2
| ~ spl14_939 ),
inference(resolution,[],[f11906,f201]) ).
fof(f11906,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK2),sK1) = k8_isocat_2(k11_cat_2(X0,sK2),sK1) )
| ~ spl14_939 ),
inference(avatar_component_clause,[],[f11905]) ).
fof(f12042,plain,
( spl14_954
| ~ spl14_57
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2896,f2762,f492,f12040]) ).
fof(f12040,plain,
( spl14_954
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_954])]) ).
fof(f2896,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_308 ),
inference(duplicate_literal_removal,[],[f2889]) ).
fof(f2889,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_308 ),
inference(resolution,[],[f2763,f493]) ).
fof(f12038,plain,
( spl14_953
| ~ spl14_56
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2885,f2758,f488,f12036]) ).
fof(f12036,plain,
( spl14_953
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X0,X1)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_953])]) ).
fof(f2885,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X0,X1)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) )
| ~ spl14_56
| ~ spl14_307 ),
inference(duplicate_literal_removal,[],[f2876]) ).
fof(f2876,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X0,X1)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_307 ),
inference(resolution,[],[f2759,f489]) ).
fof(f12034,plain,
( spl14_952
| ~ spl14_57
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2884,f2758,f492,f12032]) ).
fof(f12032,plain,
( spl14_952
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_952])]) ).
fof(f2884,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_307 ),
inference(duplicate_literal_removal,[],[f2877]) ).
fof(f2877,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_307 ),
inference(resolution,[],[f2759,f493]) ).
fof(f12030,plain,
( spl14_951
| ~ spl14_56
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2865,f2733,f488,f12028]) ).
fof(f12028,plain,
( spl14_951
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_951])]) ).
fof(f2865,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_56
| ~ spl14_301 ),
inference(duplicate_literal_removal,[],[f2856]) ).
fof(f2856,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_301 ),
inference(resolution,[],[f2734,f489]) ).
fof(f12026,plain,
( spl14_950
| ~ spl14_57
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2864,f2733,f492,f12024]) ).
fof(f12024,plain,
( spl14_950
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_950])]) ).
fof(f2864,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_301 ),
inference(duplicate_literal_removal,[],[f2857]) ).
fof(f2857,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_301 ),
inference(resolution,[],[f2734,f493]) ).
fof(f12022,plain,
( spl14_949
| ~ spl14_56
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2853,f2729,f488,f12020]) ).
fof(f12020,plain,
( spl14_949
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_949])]) ).
fof(f2853,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_56
| ~ spl14_300 ),
inference(duplicate_literal_removal,[],[f2844]) ).
fof(f2844,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_300 ),
inference(resolution,[],[f2730,f489]) ).
fof(f12018,plain,
( spl14_948
| ~ spl14_57
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2852,f2729,f492,f12016]) ).
fof(f12016,plain,
( spl14_948
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_948])]) ).
fof(f2852,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_300 ),
inference(duplicate_literal_removal,[],[f2845]) ).
fof(f2845,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_300 ),
inference(resolution,[],[f2730,f493]) ).
fof(f12014,plain,
( spl14_947
| ~ spl14_56
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2828,f2709,f488,f12012]) ).
fof(f12012,plain,
( spl14_947
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_947])]) ).
fof(f2828,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) )
| ~ spl14_56
| ~ spl14_295 ),
inference(duplicate_literal_removal,[],[f2819]) ).
fof(f2819,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X0,X1),X3),X4,X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X0,X1),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_295 ),
inference(resolution,[],[f2710,f489]) ).
fof(f12010,plain,
( spl14_946
| ~ spl14_57
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2827,f2709,f492,f12008]) ).
fof(f12008,plain,
( spl14_946
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_946])]) ).
fof(f2827,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_295 ),
inference(duplicate_literal_removal,[],[f2820]) ).
fof(f2820,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X0,X1),X3),X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X0,X1),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_295 ),
inference(resolution,[],[f2710,f493]) ).
fof(f12006,plain,
( spl14_945
| ~ spl14_56
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2816,f2705,f488,f12004]) ).
fof(f12004,plain,
( spl14_945
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X0,X1)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_945])]) ).
fof(f2816,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X0,X1)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) )
| ~ spl14_56
| ~ spl14_294 ),
inference(duplicate_literal_removal,[],[f2807]) ).
fof(f2807,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),X4,X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X0,X1)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_294 ),
inference(resolution,[],[f2706,f489]) ).
fof(f11993,plain,
( spl14_944
| ~ spl14_57
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2815,f2705,f492,f11991]) ).
fof(f11991,plain,
( spl14_944
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_944])]) ).
fof(f2815,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_294 ),
inference(duplicate_literal_removal,[],[f2808]) ).
fof(f2808,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X0,X1)),X5)),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X0,X1))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_294 ),
inference(resolution,[],[f2706,f493]) ).
fof(f11989,plain,
( spl14_943
| ~ spl14_56
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2796,f2684,f488,f11987]) ).
fof(f11987,plain,
( spl14_943
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_943])]) ).
fof(f2796,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_56
| ~ spl14_289 ),
inference(duplicate_literal_removal,[],[f2787]) ).
fof(f2787,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_289 ),
inference(resolution,[],[f2685,f489]) ).
fof(f11985,plain,
( spl14_942
| ~ spl14_57
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2795,f2684,f492,f11983]) ).
fof(f11983,plain,
( spl14_942
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_942])]) ).
fof(f2795,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_289 ),
inference(duplicate_literal_removal,[],[f2788]) ).
fof(f2788,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_289 ),
inference(resolution,[],[f2685,f493]) ).
fof(f11981,plain,
( spl14_941
| ~ spl14_56
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2783,f2680,f488,f11979]) ).
fof(f11979,plain,
( spl14_941
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_941])]) ).
fof(f2783,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_56
| ~ spl14_288 ),
inference(duplicate_literal_removal,[],[f2774]) ).
fof(f2774,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_288 ),
inference(resolution,[],[f2681,f489]) ).
fof(f11977,plain,
( spl14_940
| ~ spl14_57
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2782,f2680,f492,f11975]) ).
fof(f11975,plain,
( spl14_940
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_940])]) ).
fof(f2782,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_288 ),
inference(duplicate_literal_removal,[],[f2775]) ).
fof(f2775,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_288 ),
inference(resolution,[],[f2681,f493]) ).
fof(f11907,plain,
( ~ spl14_5
| spl14_939
| ~ spl14_6
| ~ spl14_411 ),
inference(avatar_split_clause,[],[f4309,f4280,f219,f11905,f214]) ).
fof(f4280,plain,
( spl14_411
<=> ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK1) = k8_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_411])]) ).
fof(f4309,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK2),sK1) = k8_isocat_2(k11_cat_2(X0,sK2),sK1)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_411 ),
inference(resolution,[],[f4281,f221]) ).
fof(f4281,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k16_cat_2(k11_cat_2(X0,X1),sK1) = k8_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_411 ),
inference(avatar_component_clause,[],[f4280]) ).
fof(f11628,plain,
( spl14_938
| ~ spl14_56
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3361,f3324,f488,f11626]) ).
fof(f11626,plain,
( spl14_938
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k11_isocat_2(X5,k11_cat_2(X0,X4),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k11_isocat_2(X5,k11_cat_2(X0,X4),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X0,X4),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_938])]) ).
fof(f3361,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k11_isocat_2(X5,k11_cat_2(X0,X4),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k11_isocat_2(X5,k11_cat_2(X0,X4),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X0,X4),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_56
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3348]) ).
fof(f3348,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k11_isocat_2(X5,k11_cat_2(X0,X4),X7,X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k11_isocat_2(X5,k11_cat_2(X0,X4),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X0,X4),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_331 ),
inference(resolution,[],[f3325,f489]) ).
fof(f11624,plain,
( spl14_937
| ~ spl14_57
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3360,f3324,f492,f11622]) ).
fof(f11622,plain,
( spl14_937
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k12_isocat_2(X5,X7,k11_cat_2(X0,X4),X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k12_isocat_2(X5,X7,k11_cat_2(X0,X4),X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_937])]) ).
fof(f3360,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k12_isocat_2(X5,X7,k11_cat_2(X0,X4),X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k12_isocat_2(X5,X7,k11_cat_2(X0,X4),X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_57
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3349]) ).
fof(f3349,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k12_isocat_2(X5,X7,k11_cat_2(X0,X4),X8)))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,k12_isocat_2(X5,X7,k11_cat_2(X0,X4),X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_331 ),
inference(resolution,[],[f3325,f493]) ).
fof(f11620,plain,
( spl14_936
| ~ spl14_56
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3343,f3320,f488,f11618]) ).
fof(f11618,plain,
( spl14_936
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k11_isocat_2(X5,k11_cat_2(X4,X0),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k11_isocat_2(X5,k11_cat_2(X4,X0),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X4,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_936])]) ).
fof(f3343,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k11_isocat_2(X5,k11_cat_2(X4,X0),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k11_isocat_2(X5,k11_cat_2(X4,X0),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X4,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_56
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3330]) ).
fof(f3330,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k11_isocat_2(X5,k11_cat_2(X4,X0),X7,X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k11_isocat_2(X5,k11_cat_2(X4,X0),X7,X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(k11_cat_2(X4,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_330 ),
inference(resolution,[],[f3321,f489]) ).
fof(f11616,plain,
( spl14_935
| ~ spl14_5
| ~ spl14_6
| ~ spl14_909 ),
inference(avatar_split_clause,[],[f11352,f11242,f219,f214,f11613]) ).
fof(f11613,plain,
( spl14_935
<=> k16_cat_2(k11_cat_2(sK2,sK1),sK1) = k8_isocat_2(k11_cat_2(sK2,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_935])]) ).
fof(f11242,plain,
( spl14_909
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK1),sK1) = k8_isocat_2(k11_cat_2(X0,sK1),sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_909])]) ).
fof(f11352,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(k11_cat_2(sK2,sK1),sK1) = k8_isocat_2(k11_cat_2(sK2,sK1),sK1)
| ~ spl14_6
| ~ spl14_909 ),
inference(resolution,[],[f11243,f221]) ).
fof(f11243,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK1),sK1) = k8_isocat_2(k11_cat_2(X0,sK1),sK1) )
| ~ spl14_909 ),
inference(avatar_component_clause,[],[f11242]) ).
fof(f11611,plain,
( spl14_934
| ~ spl14_57
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3342,f3320,f492,f11609]) ).
fof(f11609,plain,
( spl14_934
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X4,X0),X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X4,X0),X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_934])]) ).
fof(f3342,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X4,X0),X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X4,X0),X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_57
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3331]) ).
fof(f3331,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X4,X0),X8)))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,k12_isocat_2(X5,X7,k11_cat_2(X4,X0),X8))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ m2_cat_1(X8,X5,k11_cat_2(X7,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_330 ),
inference(resolution,[],[f3321,f493]) ).
fof(f11607,plain,
( spl14_933
| ~ spl14_58
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3044,f2921,f501,f11605]) ).
fof(f11605,plain,
( spl14_933
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k2_isocat_1(X4,X7,k11_cat_2(X0,X6),X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k2_isocat_1(X4,X7,k11_cat_2(X0,X6),X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X7,k11_cat_2(X0,X6))
| ~ m2_cat_1(X8,X4,X7)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_933])]) ).
fof(f3044,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k2_isocat_1(X4,X7,k11_cat_2(X0,X6),X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k2_isocat_1(X4,X7,k11_cat_2(X0,X6),X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X7,k11_cat_2(X0,X6))
| ~ m2_cat_1(X8,X4,X7)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_58
| ~ spl14_315 ),
inference(duplicate_literal_removal,[],[f3039]) ).
fof(f3039,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k2_isocat_1(X4,X7,k11_cat_2(X0,X6),X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k2_isocat_1(X4,X7,k11_cat_2(X0,X6),X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X7,k11_cat_2(X0,X6))
| ~ m2_cat_1(X8,X4,X7)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_315 ),
inference(resolution,[],[f2922,f502]) ).
fof(f11603,plain,
( spl14_932
| ~ spl14_58
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3022,f2917,f501,f11601]) ).
fof(f11601,plain,
( spl14_932
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k2_isocat_1(X4,X7,k11_cat_2(X6,X0),X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k2_isocat_1(X4,X7,k11_cat_2(X6,X0),X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X7,k11_cat_2(X6,X0))
| ~ m2_cat_1(X8,X4,X7)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_932])]) ).
fof(f3022,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k2_isocat_1(X4,X7,k11_cat_2(X6,X0),X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k2_isocat_1(X4,X7,k11_cat_2(X6,X0),X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X7,k11_cat_2(X6,X0))
| ~ m2_cat_1(X8,X4,X7)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_58
| ~ spl14_314 ),
inference(duplicate_literal_removal,[],[f3017]) ).
fof(f3017,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k2_isocat_1(X4,X7,k11_cat_2(X6,X0),X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k2_isocat_1(X4,X7,k11_cat_2(X6,X0),X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X7,k11_cat_2(X6,X0))
| ~ m2_cat_1(X8,X4,X7)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_314 ),
inference(resolution,[],[f2918,f502]) ).
fof(f11599,plain,
( spl14_931
| ~ spl14_49
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3003,f2913,f447,f11597]) ).
fof(f11597,plain,
( spl14_931
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_931])]) ).
fof(f2913,plain,
( spl14_313
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_313])]) ).
fof(f3003,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2996]) ).
fof(f2996,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_313 ),
inference(resolution,[],[f2914,f448]) ).
fof(f2914,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4)))
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_313 ),
inference(avatar_component_clause,[],[f2913]) ).
fof(f11595,plain,
( spl14_930
| ~ spl14_50
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3002,f2913,f451,f11593]) ).
fof(f11593,plain,
( spl14_930
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_930])]) ).
fof(f3002,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2997]) ).
fof(f2997,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_313 ),
inference(resolution,[],[f2914,f452]) ).
fof(f11591,plain,
( spl14_929
| ~ spl14_51
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3001,f2913,f455,f11589]) ).
fof(f11589,plain,
( spl14_929
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_929])]) ).
fof(f3001,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2998]) ).
fof(f2998,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_313 ),
inference(resolution,[],[f2914,f456]) ).
fof(f11587,plain,
( spl14_928
| ~ spl14_52
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3000,f2913,f459,f11585]) ).
fof(f11585,plain,
( spl14_928
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_928])]) ).
fof(f3000,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2999]) ).
fof(f2999,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_313 ),
inference(resolution,[],[f2914,f460]) ).
fof(f11583,plain,
( spl14_927
| ~ spl14_49
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2981,f2909,f447,f11581]) ).
fof(f11581,plain,
( spl14_927
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_927])]) ).
fof(f2909,plain,
( spl14_312
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_312])]) ).
fof(f2981,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2974]) ).
fof(f2974,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_312 ),
inference(resolution,[],[f2910,f448]) ).
fof(f2910,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3)))
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_312 ),
inference(avatar_component_clause,[],[f2909]) ).
fof(f11579,plain,
( spl14_926
| ~ spl14_50
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2980,f2909,f451,f11577]) ).
fof(f11577,plain,
( spl14_926
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_926])]) ).
fof(f2980,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2975]) ).
fof(f2975,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_312 ),
inference(resolution,[],[f2910,f452]) ).
fof(f11575,plain,
( spl14_925
| ~ spl14_51
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2979,f2909,f455,f11573]) ).
fof(f11573,plain,
( spl14_925
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_925])]) ).
fof(f2979,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2976]) ).
fof(f2976,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_312 ),
inference(resolution,[],[f2910,f456]) ).
fof(f11570,plain,
( spl14_924
| ~ spl14_52
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2978,f2909,f459,f11568]) ).
fof(f11568,plain,
( spl14_924
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_924])]) ).
fof(f2978,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2977]) ).
fof(f2977,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_312 ),
inference(resolution,[],[f2910,f460]) ).
fof(f11566,plain,
( spl14_923
| ~ spl14_49
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2959,f2905,f447,f11564]) ).
fof(f11564,plain,
( spl14_923
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_923])]) ).
fof(f2905,plain,
( spl14_311
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_311])]) ).
fof(f2959,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2952]) ).
fof(f2952,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_311 ),
inference(resolution,[],[f2906,f448]) ).
fof(f2906,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4)))
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_311 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f11562,plain,
( spl14_922
| ~ spl14_50
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2958,f2905,f451,f11560]) ).
fof(f11560,plain,
( spl14_922
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_922])]) ).
fof(f2958,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2953]) ).
fof(f2953,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k17_cat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_311 ),
inference(resolution,[],[f2906,f452]) ).
fof(f11558,plain,
( spl14_921
| ~ spl14_51
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2957,f2905,f455,f11556]) ).
fof(f11556,plain,
( spl14_921
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_921])]) ).
fof(f2957,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2954]) ).
fof(f2954,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_311 ),
inference(resolution,[],[f2906,f456]) ).
fof(f11554,plain,
( spl14_920
| ~ spl14_52
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2956,f2905,f459,f11552]) ).
fof(f11552,plain,
( spl14_920
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_920])]) ).
fof(f2956,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2955]) ).
fof(f2955,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,X2)),k11_cat_2(X0,X2),X0,k9_isocat_2(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_311 ),
inference(resolution,[],[f2906,f460]) ).
fof(f11550,plain,
( spl14_919
| ~ spl14_49
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2937,f2900,f447,f11548]) ).
fof(f11548,plain,
( spl14_919
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_919])]) ).
fof(f2900,plain,
( spl14_310
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_310])]) ).
fof(f2937,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2930]) ).
fof(f2930,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_310 ),
inference(resolution,[],[f2901,f448]) ).
fof(f2901,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3)))
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_310 ),
inference(avatar_component_clause,[],[f2900]) ).
fof(f11546,plain,
( spl14_918
| ~ spl14_50
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2936,f2900,f451,f11544]) ).
fof(f11544,plain,
( spl14_918
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_918])]) ).
fof(f2936,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2931]) ).
fof(f2931,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k17_cat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_310 ),
inference(resolution,[],[f2901,f452]) ).
fof(f11542,plain,
( spl14_917
| ~ spl14_51
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2935,f2900,f455,f11540]) ).
fof(f11540,plain,
( spl14_917
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_917])]) ).
fof(f2935,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2932]) ).
fof(f2932,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_310 ),
inference(resolution,[],[f2901,f456]) ).
fof(f11538,plain,
( spl14_916
| ~ spl14_52
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2934,f2900,f459,f11536]) ).
fof(f11536,plain,
( spl14_916
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_916])]) ).
fof(f2934,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2933]) ).
fof(f2933,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,k11_cat_2(X2,X0)),k11_cat_2(X2,X0),X0,k9_isocat_2(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_310 ),
inference(resolution,[],[f2901,f460]) ).
fof(f11518,plain,
( spl14_915
| ~ spl14_1
| ~ spl14_2
| ~ spl14_909 ),
inference(avatar_split_clause,[],[f11350,f11242,f199,f194,f11515]) ).
fof(f11515,plain,
( spl14_915
<=> k16_cat_2(k11_cat_2(sK0,sK1),sK1) = k8_isocat_2(k11_cat_2(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_915])]) ).
fof(f11350,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(k11_cat_2(sK0,sK1),sK1) = k8_isocat_2(k11_cat_2(sK0,sK1),sK1)
| ~ spl14_2
| ~ spl14_909 ),
inference(resolution,[],[f11243,f201]) ).
fof(f11264,plain,
( spl14_914
| ~ spl14_49
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3137,f3063,f447,f11262]) ).
fof(f11262,plain,
( spl14_914
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_914])]) ).
fof(f3063,plain,
( spl14_320
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_320])]) ).
fof(f3137,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3130]) ).
fof(f3130,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_320 ),
inference(resolution,[],[f3064,f448]) ).
fof(f3064,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_320 ),
inference(avatar_component_clause,[],[f3063]) ).
fof(f11260,plain,
( spl14_913
| ~ spl14_50
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3136,f3063,f451,f11258]) ).
fof(f11258,plain,
( spl14_913
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_913])]) ).
fof(f3136,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3131]) ).
fof(f3131,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_320 ),
inference(resolution,[],[f3064,f452]) ).
fof(f11256,plain,
( spl14_912
| ~ spl14_51
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3135,f3063,f455,f11254]) ).
fof(f11254,plain,
( spl14_912
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_912])]) ).
fof(f3135,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3132]) ).
fof(f3132,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_320 ),
inference(resolution,[],[f3064,f456]) ).
fof(f11252,plain,
( spl14_911
| ~ spl14_52
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3134,f3063,f459,f11250]) ).
fof(f11250,plain,
( spl14_911
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_911])]) ).
fof(f3134,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3133]) ).
fof(f3133,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_320 ),
inference(resolution,[],[f3064,f460]) ).
fof(f11248,plain,
( spl14_910
| ~ spl14_49
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3119,f3059,f447,f11246]) ).
fof(f11246,plain,
( spl14_910
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_910])]) ).
fof(f3059,plain,
( spl14_319
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_319])]) ).
fof(f3119,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3112]) ).
fof(f3112,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_319 ),
inference(resolution,[],[f3060,f448]) ).
fof(f3060,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_319 ),
inference(avatar_component_clause,[],[f3059]) ).
fof(f11244,plain,
( ~ spl14_3
| spl14_909
| ~ spl14_4
| ~ spl14_411 ),
inference(avatar_split_clause,[],[f4308,f4280,f209,f11242,f204]) ).
fof(f4308,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK1),sK1) = k8_isocat_2(k11_cat_2(X0,sK1),sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_411 ),
inference(resolution,[],[f4281,f211]) ).
fof(f11240,plain,
( spl14_908
| ~ spl14_50
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3118,f3059,f451,f11238]) ).
fof(f11238,plain,
( spl14_908
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_908])]) ).
fof(f3118,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3113]) ).
fof(f3113,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_319 ),
inference(resolution,[],[f3060,f452]) ).
fof(f11236,plain,
( spl14_907
| ~ spl14_51
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3117,f3059,f455,f11234]) ).
fof(f11234,plain,
( spl14_907
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_907])]) ).
fof(f3117,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3114]) ).
fof(f3114,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_319 ),
inference(resolution,[],[f3060,f456]) ).
fof(f11232,plain,
( spl14_906
| ~ spl14_52
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3116,f3059,f459,f11230]) ).
fof(f11230,plain,
( spl14_906
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_906])]) ).
fof(f3116,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3115]) ).
fof(f3115,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_319 ),
inference(resolution,[],[f3060,f460]) ).
fof(f11228,plain,
( spl14_905
| ~ spl14_49
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3099,f3055,f447,f11226]) ).
fof(f11226,plain,
( spl14_905
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_905])]) ).
fof(f3055,plain,
( spl14_318
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_318])]) ).
fof(f3099,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3092]) ).
fof(f3092,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k16_cat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_318 ),
inference(resolution,[],[f3056,f448]) ).
fof(f3056,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_318 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f11224,plain,
( spl14_904
| ~ spl14_50
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3098,f3055,f451,f11222]) ).
fof(f11222,plain,
( spl14_904
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_904])]) ).
fof(f3098,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3093]) ).
fof(f3093,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k17_cat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_318 ),
inference(resolution,[],[f3056,f452]) ).
fof(f11220,plain,
( spl14_903
| ~ spl14_51
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3097,f3055,f455,f11218]) ).
fof(f11218,plain,
( spl14_903
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_903])]) ).
fof(f3097,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3094]) ).
fof(f3094,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X0,X1),X3),k11_cat_2(X0,X1),X4,k8_isocat_2(k11_cat_2(X0,X1),X3)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_318 ),
inference(resolution,[],[f3056,f456]) ).
fof(f11216,plain,
( spl14_902
| ~ spl14_52
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3096,f3055,f459,f11214]) ).
fof(f11214,plain,
( spl14_902
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_902])]) ).
fof(f3096,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3095]) ).
fof(f3095,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X4,k9_isocat_2(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_318 ),
inference(resolution,[],[f3056,f460]) ).
fof(f11212,plain,
( spl14_901
| ~ spl14_49
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3079,f3051,f447,f11210]) ).
fof(f11210,plain,
( spl14_901
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_901])]) ).
fof(f3051,plain,
( spl14_317
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_317])]) ).
fof(f3079,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3072]) ).
fof(f3072,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_317 ),
inference(resolution,[],[f3052,f448]) ).
fof(f3052,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_317 ),
inference(avatar_component_clause,[],[f3051]) ).
fof(f11208,plain,
( spl14_900
| ~ spl14_50
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3078,f3051,f451,f11206]) ).
fof(f11206,plain,
( spl14_900
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_900])]) ).
fof(f3078,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3073]) ).
fof(f3073,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_317 ),
inference(resolution,[],[f3052,f452]) ).
fof(f11204,plain,
( spl14_899
| ~ spl14_51
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3077,f3051,f455,f11202]) ).
fof(f11202,plain,
( spl14_899
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_899])]) ).
fof(f3077,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3074]) ).
fof(f3074,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_317 ),
inference(resolution,[],[f3052,f456]) ).
fof(f11199,plain,
( spl14_898
| ~ spl14_52
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3076,f3051,f459,f11197]) ).
fof(f11197,plain,
( spl14_898
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_898])]) ).
fof(f3076,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3075]) ).
fof(f3075,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_317 ),
inference(resolution,[],[f3052,f460]) ).
fof(f11087,plain,
( spl14_897
| ~ spl14_46
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3666,f3626,f425,f11085]) ).
fof(f11085,plain,
( spl14_897
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_897])]) ).
fof(f3666,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_351 ),
inference(duplicate_literal_removal,[],[f3651]) ).
fof(f3651,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_351 ),
inference(resolution,[],[f3627,f426]) ).
fof(f11083,plain,
( spl14_896
| ~ spl14_46
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3646,f3617,f425,f11081]) ).
fof(f11081,plain,
( spl14_896
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_896])]) ).
fof(f3646,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_349 ),
inference(duplicate_literal_removal,[],[f3631]) ).
fof(f3631,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,sK8(X5,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_349 ),
inference(resolution,[],[f3618,f426]) ).
fof(f11079,plain,
( spl14_895
| ~ spl14_56
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3046,f2921,f488,f11077]) ).
fof(f11077,plain,
( spl14_895
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k11_isocat_2(X4,k11_cat_2(X0,X6),X7,X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k11_isocat_2(X4,k11_cat_2(X0,X6),X7,X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(k11_cat_2(X0,X6),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_895])]) ).
fof(f3046,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k11_isocat_2(X4,k11_cat_2(X0,X6),X7,X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k11_isocat_2(X4,k11_cat_2(X0,X6),X7,X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(k11_cat_2(X0,X6),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6)) )
| ~ spl14_56
| ~ spl14_315 ),
inference(duplicate_literal_removal,[],[f3037]) ).
fof(f3037,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k11_isocat_2(X4,k11_cat_2(X0,X6),X7,X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k11_isocat_2(X4,k11_cat_2(X0,X6),X7,X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(k11_cat_2(X0,X6),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_315 ),
inference(resolution,[],[f2922,f489]) ).
fof(f11075,plain,
( spl14_894
| ~ spl14_5
| ~ spl14_6
| ~ spl14_873 ),
inference(avatar_split_clause,[],[f10907,f10751,f219,f214,f11072]) ).
fof(f11072,plain,
( spl14_894
<=> k16_cat_2(k11_cat_2(sK2,sK0),sK1) = k8_isocat_2(k11_cat_2(sK2,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_894])]) ).
fof(f10751,plain,
( spl14_873
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK0),sK1) = k8_isocat_2(k11_cat_2(X0,sK0),sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_873])]) ).
fof(f10907,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(k11_cat_2(sK2,sK0),sK1) = k8_isocat_2(k11_cat_2(sK2,sK0),sK1)
| ~ spl14_6
| ~ spl14_873 ),
inference(resolution,[],[f10752,f221]) ).
fof(f10752,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK0),sK1) = k8_isocat_2(k11_cat_2(X0,sK0),sK1) )
| ~ spl14_873 ),
inference(avatar_component_clause,[],[f10751]) ).
fof(f11070,plain,
( spl14_893
| ~ spl14_57
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3045,f2921,f492,f11068]) ).
fof(f11068,plain,
( spl14_893
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k12_isocat_2(X4,X7,k11_cat_2(X0,X6),X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k12_isocat_2(X4,X7,k11_cat_2(X0,X6),X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(X7,k11_cat_2(X0,X6)))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_893])]) ).
fof(f3045,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k12_isocat_2(X4,X7,k11_cat_2(X0,X6),X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k12_isocat_2(X4,X7,k11_cat_2(X0,X6),X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(X7,k11_cat_2(X0,X6)))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_57
| ~ spl14_315 ),
inference(duplicate_literal_removal,[],[f3038]) ).
fof(f3038,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k12_isocat_2(X4,X7,k11_cat_2(X0,X6),X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,k12_isocat_2(X4,X7,k11_cat_2(X0,X6),X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(X7,k11_cat_2(X0,X6)))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_315 ),
inference(resolution,[],[f2922,f493]) ).
fof(f11066,plain,
( spl14_892
| ~ spl14_56
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3024,f2917,f488,f11064]) ).
fof(f11064,plain,
( spl14_892
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k11_isocat_2(X4,k11_cat_2(X6,X0),X7,X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k11_isocat_2(X4,k11_cat_2(X6,X0),X7,X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(k11_cat_2(X6,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_892])]) ).
fof(f3024,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k11_isocat_2(X4,k11_cat_2(X6,X0),X7,X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k11_isocat_2(X4,k11_cat_2(X6,X0),X7,X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(k11_cat_2(X6,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0)) )
| ~ spl14_56
| ~ spl14_314 ),
inference(duplicate_literal_removal,[],[f3015]) ).
fof(f3015,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k11_isocat_2(X4,k11_cat_2(X6,X0),X7,X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k11_isocat_2(X4,k11_cat_2(X6,X0),X7,X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(k11_cat_2(X6,X0),X7))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_314 ),
inference(resolution,[],[f2918,f489]) ).
fof(f11062,plain,
( spl14_891
| ~ spl14_57
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3023,f2917,f492,f11060]) ).
fof(f11060,plain,
( spl14_891
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k12_isocat_2(X4,X7,k11_cat_2(X6,X0),X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k12_isocat_2(X4,X7,k11_cat_2(X6,X0),X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(X7,k11_cat_2(X6,X0)))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_891])]) ).
fof(f3023,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k12_isocat_2(X4,X7,k11_cat_2(X6,X0),X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k12_isocat_2(X4,X7,k11_cat_2(X6,X0),X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(X7,k11_cat_2(X6,X0)))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7) )
| ~ spl14_57
| ~ spl14_314 ),
inference(duplicate_literal_removal,[],[f3016]) ).
fof(f3016,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k12_isocat_2(X4,X7,k11_cat_2(X6,X0),X8)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,k12_isocat_2(X4,X7,k11_cat_2(X6,X0),X8))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(X7,k11_cat_2(X6,X0)))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_314 ),
inference(resolution,[],[f2918,f493]) ).
fof(f10957,plain,
( spl14_890
| ~ spl14_46
| ~ spl14_344 ),
inference(avatar_split_clause,[],[f3567,f3421,f425,f10955]) ).
fof(f10955,plain,
( spl14_890
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_890])]) ).
fof(f3567,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_344 ),
inference(duplicate_literal_removal,[],[f3552]) ).
fof(f3552,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k9_isocat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_344 ),
inference(resolution,[],[f3422,f426]) ).
fof(f10953,plain,
( spl14_889
| ~ spl14_3
| ~ spl14_4
| ~ spl14_873 ),
inference(avatar_split_clause,[],[f10906,f10751,f209,f204,f10950]) ).
fof(f10950,plain,
( spl14_889
<=> k16_cat_2(k11_cat_2(sK1,sK0),sK1) = k8_isocat_2(k11_cat_2(sK1,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_889])]) ).
fof(f10906,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(k11_cat_2(sK1,sK0),sK1) = k8_isocat_2(k11_cat_2(sK1,sK0),sK1)
| ~ spl14_4
| ~ spl14_873 ),
inference(resolution,[],[f10752,f211]) ).
fof(f10948,plain,
( spl14_888
| ~ spl14_46
| ~ spl14_343 ),
inference(avatar_split_clause,[],[f3551,f3417,f425,f10946]) ).
fof(f10946,plain,
( spl14_888
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_888])]) ).
fof(f3551,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_46
| ~ spl14_343 ),
inference(duplicate_literal_removal,[],[f3536]) ).
fof(f3536,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_343 ),
inference(resolution,[],[f3418,f426]) ).
fof(f10944,plain,
( spl14_887
| ~ spl14_46
| ~ spl14_342 ),
inference(avatar_split_clause,[],[f3535,f3413,f425,f10942]) ).
fof(f10942,plain,
( spl14_887
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_887])]) ).
fof(f3535,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_342 ),
inference(duplicate_literal_removal,[],[f3520]) ).
fof(f3520,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X0,X2)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X0,X2))),k11_isocat_2(k11_cat_2(X1,k11_cat_2(X0,X2)),X0,X2,k17_cat_2(X1,k11_cat_2(X0,X2))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_342 ),
inference(resolution,[],[f3414,f426]) ).
fof(f10940,plain,
( spl14_886
| ~ spl14_46
| ~ spl14_341 ),
inference(avatar_split_clause,[],[f3519,f3409,f425,f10938]) ).
fof(f10938,plain,
( spl14_886
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_886])]) ).
fof(f3519,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_46
| ~ spl14_341 ),
inference(duplicate_literal_removal,[],[f3504]) ).
fof(f3504,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X0,X1),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X0,X1),X2)),k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_341 ),
inference(resolution,[],[f3410,f426]) ).
fof(f10936,plain,
( spl14_885
| ~ spl14_46
| ~ spl14_340 ),
inference(avatar_split_clause,[],[f3503,f3405,f425,f10934]) ).
fof(f10934,plain,
( spl14_885
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_885])]) ).
fof(f3503,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_340 ),
inference(duplicate_literal_removal,[],[f3488]) ).
fof(f3488,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k9_isocat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_340 ),
inference(resolution,[],[f3406,f426]) ).
fof(f10932,plain,
( spl14_884
| ~ spl14_46
| ~ spl14_339 ),
inference(avatar_split_clause,[],[f3487,f3401,f425,f10930]) ).
fof(f10930,plain,
( spl14_884
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_884])]) ).
fof(f3487,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_46
| ~ spl14_339 ),
inference(duplicate_literal_removal,[],[f3472]) ).
fof(f3472,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_339 ),
inference(resolution,[],[f3402,f426]) ).
fof(f10928,plain,
( spl14_883
| ~ spl14_46
| ~ spl14_338 ),
inference(avatar_split_clause,[],[f3471,f3397,f425,f10926]) ).
fof(f10926,plain,
( spl14_883
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_883])]) ).
fof(f3471,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_338 ),
inference(duplicate_literal_removal,[],[f3456]) ).
fof(f3456,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,k11_cat_2(X2,X0)),X0,sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0)))) = k5_relat_1(sK8(X3,k11_cat_2(X1,k11_cat_2(X2,X0))),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X2,X0)),X2,X0,k17_cat_2(X1,k11_cat_2(X2,X0))))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X2,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_338 ),
inference(resolution,[],[f3398,f426]) ).
fof(f10924,plain,
( spl14_882
| ~ spl14_46
| ~ spl14_337 ),
inference(avatar_split_clause,[],[f3455,f3393,f425,f10922]) ).
fof(f10922,plain,
( spl14_882
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_882])]) ).
fof(f3455,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_46
| ~ spl14_337 ),
inference(duplicate_literal_removal,[],[f3440]) ).
fof(f3440,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(k11_cat_2(X1,X0),X2),X0,sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2))) = k5_relat_1(sK8(X3,k11_cat_2(k11_cat_2(X1,X0),X2)),k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_337 ),
inference(resolution,[],[f3394,f426]) ).
fof(f10920,plain,
( spl14_881
| ~ spl14_46
| ~ spl14_328 ),
inference(avatar_split_clause,[],[f3318,f3262,f425,f10918]) ).
fof(f10918,plain,
( spl14_881
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,sK8(X1,k11_cat_2(k11_cat_2(X0,X4),X5))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,sK8(X1,k11_cat_2(k11_cat_2(X0,X4),X5)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_881])]) ).
fof(f3318,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,sK8(X1,k11_cat_2(k11_cat_2(X0,X4),X5))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,sK8(X1,k11_cat_2(k11_cat_2(X0,X4),X5)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5)) )
| ~ spl14_46
| ~ spl14_328 ),
inference(duplicate_literal_removal,[],[f3307]) ).
fof(f3307,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,sK8(X1,k11_cat_2(k11_cat_2(X0,X4),X5))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,sK8(X1,k11_cat_2(k11_cat_2(X0,X4),X5)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_328 ),
inference(resolution,[],[f3263,f426]) ).
fof(f10916,plain,
( spl14_880
| ~ spl14_46
| ~ spl14_327 ),
inference(avatar_split_clause,[],[f3306,f3258,f425,f10914]) ).
fof(f10914,plain,
( spl14_880
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),sK8(X1,k11_cat_2(X5,k11_cat_2(X0,X4)))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),sK8(X1,k11_cat_2(X5,k11_cat_2(X0,X4))))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_880])]) ).
fof(f3306,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),sK8(X1,k11_cat_2(X5,k11_cat_2(X0,X4)))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),sK8(X1,k11_cat_2(X5,k11_cat_2(X0,X4))))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4))) )
| ~ spl14_46
| ~ spl14_327 ),
inference(duplicate_literal_removal,[],[f3295]) ).
fof(f3295,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),sK8(X1,k11_cat_2(X5,k11_cat_2(X0,X4)))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),sK8(X1,k11_cat_2(X5,k11_cat_2(X0,X4))))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_327 ),
inference(resolution,[],[f3259,f426]) ).
fof(f10912,plain,
( spl14_879
| ~ spl14_46
| ~ spl14_326 ),
inference(avatar_split_clause,[],[f3294,f3254,f425,f10910]) ).
fof(f10910,plain,
( spl14_879
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,sK8(X1,k11_cat_2(k11_cat_2(X4,X0),X5))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,sK8(X1,k11_cat_2(k11_cat_2(X4,X0),X5)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_879])]) ).
fof(f3294,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,sK8(X1,k11_cat_2(k11_cat_2(X4,X0),X5))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,sK8(X1,k11_cat_2(k11_cat_2(X4,X0),X5)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5)) )
| ~ spl14_46
| ~ spl14_326 ),
inference(duplicate_literal_removal,[],[f3283]) ).
fof(f3283,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,sK8(X1,k11_cat_2(k11_cat_2(X4,X0),X5))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,sK8(X1,k11_cat_2(k11_cat_2(X4,X0),X5)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_326 ),
inference(resolution,[],[f3255,f426]) ).
fof(f10899,plain,
( spl14_878
| ~ spl14_46
| ~ spl14_325 ),
inference(avatar_split_clause,[],[f3276,f3250,f425,f10897]) ).
fof(f10897,plain,
( spl14_878
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),sK8(X1,k11_cat_2(X5,k11_cat_2(X4,X0)))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),sK8(X1,k11_cat_2(X5,k11_cat_2(X4,X0))))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_878])]) ).
fof(f3276,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),sK8(X1,k11_cat_2(X5,k11_cat_2(X4,X0)))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),sK8(X1,k11_cat_2(X5,k11_cat_2(X4,X0))))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0))) )
| ~ spl14_46
| ~ spl14_325 ),
inference(duplicate_literal_removal,[],[f3265]) ).
fof(f3265,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),sK8(X1,k11_cat_2(X5,k11_cat_2(X4,X0)))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),sK8(X1,k11_cat_2(X5,k11_cat_2(X4,X0))))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ v2_cat_1(k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_325 ),
inference(resolution,[],[f3251,f426]) ).
fof(f10895,plain,
( spl14_877
| ~ spl14_58
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3138,f3063,f501,f10893]) ).
fof(f10893,plain,
( spl14_877
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_877])]) ).
fof(f3138,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3129]) ).
fof(f3129,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_320 ),
inference(resolution,[],[f3064,f502]) ).
fof(f10891,plain,
( spl14_876
| ~ spl14_58
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3120,f3059,f501,f10889]) ).
fof(f10889,plain,
( spl14_876
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_876])]) ).
fof(f3120,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3111]) ).
fof(f3111,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_319 ),
inference(resolution,[],[f3060,f502]) ).
fof(f10887,plain,
( spl14_875
| ~ spl14_58
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3100,f3055,f501,f10885]) ).
fof(f10885,plain,
( spl14_875
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_875])]) ).
fof(f3100,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3091]) ).
fof(f3091,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k2_isocat_1(X3,X5,k11_cat_2(X0,X1),X6,X7)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X1))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_318 ),
inference(resolution,[],[f3056,f502]) ).
fof(f10883,plain,
( spl14_874
| ~ spl14_58
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3080,f3051,f501,f10881]) ).
fof(f10881,plain,
( spl14_874
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_874])]) ).
fof(f3080,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3071]) ).
fof(f3071,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_317 ),
inference(resolution,[],[f3052,f502]) ).
fof(f10753,plain,
( ~ spl14_1
| spl14_873
| ~ spl14_2
| ~ spl14_411 ),
inference(avatar_split_clause,[],[f4307,f4280,f199,f10751,f194]) ).
fof(f4307,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK0),sK1) = k8_isocat_2(k11_cat_2(X0,sK0),sK1)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_411 ),
inference(resolution,[],[f4281,f201]) ).
fof(f10709,plain,
( spl14_872
| ~ spl14_58
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3245,f3156,f501,f10707]) ).
fof(f10707,plain,
( spl14_872
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,X3)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_872])]) ).
fof(f3156,plain,
( spl14_324
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_324])]) ).
fof(f3245,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,X3)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3228]) ).
fof(f3228,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,X3)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_324 ),
inference(resolution,[],[f3157,f502]) ).
fof(f3157,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_324 ),
inference(avatar_component_clause,[],[f3156]) ).
fof(f10705,plain,
( spl14_871
| ~ spl14_58
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3215,f3152,f501,f10703]) ).
fof(f10703,plain,
( spl14_871
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,X3)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_871])]) ).
fof(f3152,plain,
( spl14_323
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_323])]) ).
fof(f3215,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,X3)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3198]) ).
fof(f3198,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,X3,X5,X6),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,X3)
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_323 ),
inference(resolution,[],[f3153,f502]) ).
fof(f3153,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X2,X3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_323 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f10701,plain,
( spl14_870
| ~ spl14_58
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3185,f3143,f501,f10699]) ).
fof(f10699,plain,
( spl14_870
<=> ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k2_isocat_1(X6,X8,X0,X9,X10)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k2_isocat_1(X6,X8,X0,X9,X10))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X10,X8,X0)
| ~ m2_cat_1(X9,X6,X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_870])]) ).
fof(f3143,plain,
( spl14_321
<=> ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,X3)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_321])]) ).
fof(f3185,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k2_isocat_1(X6,X8,X0,X9,X10)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k2_isocat_1(X6,X8,X0,X9,X10))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X10,X8,X0)
| ~ m2_cat_1(X9,X6,X8)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8) )
| ~ spl14_58
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3168]) ).
fof(f3168,plain,
( ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k2_isocat_1(X6,X8,X0,X9,X10)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k2_isocat_1(X6,X8,X0,X9,X10))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X10,X8,X0)
| ~ m2_cat_1(X9,X6,X8)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_321 ),
inference(resolution,[],[f3144,f502]) ).
fof(f3144,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m2_cat_1(X8,X6,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_321 ),
inference(avatar_component_clause,[],[f3143]) ).
fof(f10697,plain,
( spl14_869
| ~ spl14_58
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3004,f2913,f501,f10695]) ).
fof(f10695,plain,
( spl14_869
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X4))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_869])]) ).
fof(f3004,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X4))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2995]) ).
fof(f2995,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X4))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_313 ),
inference(resolution,[],[f2914,f502]) ).
fof(f10693,plain,
( spl14_868
| ~ spl14_58
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2982,f2909,f501,f10691]) ).
fof(f10691,plain,
( spl14_868
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X0))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_868])]) ).
fof(f2982,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X0))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2973]) ).
fof(f2973,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X0))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_312 ),
inference(resolution,[],[f2910,f502]) ).
fof(f10689,plain,
( spl14_867
| ~ spl14_58
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2960,f2905,f501,f10687]) ).
fof(f10687,plain,
( spl14_867
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X4))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_867])]) ).
fof(f2960,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X4))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2951]) ).
fof(f2951,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,X7),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X0,X4))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_311 ),
inference(resolution,[],[f2906,f502]) ).
fof(f10685,plain,
( spl14_866
| ~ spl14_58
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2938,f2900,f501,f10683]) ).
fof(f10683,plain,
( spl14_866
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X0))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_866])]) ).
fof(f2938,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X0))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2929]) ).
fof(f2929,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,X7),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X0))
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_310 ),
inference(resolution,[],[f2901,f502]) ).
fof(f10560,plain,
( spl14_865
| ~ spl14_1
| ~ spl14_2
| ~ spl14_849 ),
inference(avatar_split_clause,[],[f10472,f10424,f199,f194,f10557]) ).
fof(f10557,plain,
( spl14_865
<=> k16_cat_2(k11_cat_2(sK0,sK2),sK0) = k8_isocat_2(k11_cat_2(sK0,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_865])]) ).
fof(f10424,plain,
( spl14_849
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK2),sK0) = k8_isocat_2(k11_cat_2(X0,sK2),sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_849])]) ).
fof(f10472,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(k11_cat_2(sK0,sK2),sK0) = k8_isocat_2(k11_cat_2(sK0,sK2),sK0)
| ~ spl14_2
| ~ spl14_849 ),
inference(resolution,[],[f10425,f201]) ).
fof(f10425,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK2),sK0) = k8_isocat_2(k11_cat_2(X0,sK2),sK0) )
| ~ spl14_849 ),
inference(avatar_component_clause,[],[f10424]) ).
fof(f10495,plain,
( spl14_864
| ~ spl14_49
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3244,f3156,f447,f10493]) ).
fof(f10493,plain,
( spl14_864
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_864])]) ).
fof(f3244,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3229]) ).
fof(f3229,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_324 ),
inference(resolution,[],[f3157,f448]) ).
fof(f10491,plain,
( spl14_863
| ~ spl14_50
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3243,f3156,f451,f10489]) ).
fof(f10489,plain,
( spl14_863
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_863])]) ).
fof(f3243,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3230]) ).
fof(f3230,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_324 ),
inference(resolution,[],[f3157,f452]) ).
fof(f10487,plain,
( spl14_862
| ~ spl14_51
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3242,f3156,f455,f10485]) ).
fof(f10485,plain,
( spl14_862
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_862])]) ).
fof(f3242,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3231]) ).
fof(f3231,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_324 ),
inference(resolution,[],[f3157,f456]) ).
fof(f10483,plain,
( spl14_861
| ~ spl14_52
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3241,f3156,f459,f10481]) ).
fof(f10481,plain,
( spl14_861
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_861])]) ).
fof(f3241,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3232]) ).
fof(f3232,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k11_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_324 ),
inference(resolution,[],[f3157,f460]) ).
fof(f10479,plain,
( spl14_860
| ~ spl14_49
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3214,f3152,f447,f10477]) ).
fof(f10477,plain,
( spl14_860
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_860])]) ).
fof(f3214,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3199]) ).
fof(f3199,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k16_cat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_323 ),
inference(resolution,[],[f3153,f448]) ).
fof(f10466,plain,
( spl14_859
| ~ spl14_50
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3213,f3152,f451,f10464]) ).
fof(f10464,plain,
( spl14_859
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_859])]) ).
fof(f3213,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3200]) ).
fof(f3200,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k17_cat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_323 ),
inference(resolution,[],[f3153,f452]) ).
fof(f10462,plain,
( spl14_858
| ~ spl14_51
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3212,f3152,f455,f10460]) ).
fof(f10460,plain,
( spl14_858
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_858])]) ).
fof(f3212,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3201]) ).
fof(f3201,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X2,k11_cat_2(X1,X0),k8_isocat_2(X2,X3),sK8(X2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_323 ),
inference(resolution,[],[f3153,f456]) ).
fof(f10458,plain,
( spl14_857
| ~ spl14_52
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3211,f3152,f459,f10456]) ).
fof(f10456,plain,
( spl14_857
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_857])]) ).
fof(f3211,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3202]) ).
fof(f3202,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| k12_isocat_2(k11_cat_2(X2,X3),X1,X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(X2,X3),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(X2,X3),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_323 ),
inference(resolution,[],[f3153,f460]) ).
fof(f10454,plain,
( spl14_856
| ~ spl14_56
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3140,f3063,f488,f10452]) ).
fof(f10452,plain,
( spl14_856
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X0,X1),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_856])]) ).
fof(f3140,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X0,X1),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3127]) ).
fof(f3127,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X0,X1),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_320 ),
inference(resolution,[],[f3064,f489]) ).
fof(f10450,plain,
( spl14_855
| ~ spl14_57
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3139,f3063,f492,f10448]) ).
fof(f10448,plain,
( spl14_855
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_855])]) ).
fof(f3139,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3128]) ).
fof(f3128,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_320 ),
inference(resolution,[],[f3064,f493]) ).
fof(f10446,plain,
( spl14_854
| ~ spl14_56
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3122,f3059,f488,f10444]) ).
fof(f10444,plain,
( spl14_854
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_854])]) ).
fof(f3122,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3109]) ).
fof(f3109,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_319 ),
inference(resolution,[],[f3060,f489]) ).
fof(f10442,plain,
( spl14_853
| ~ spl14_57
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3121,f3059,f492,f10440]) ).
fof(f10440,plain,
( spl14_853
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_853])]) ).
fof(f3121,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3110]) ).
fof(f3110,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_319 ),
inference(resolution,[],[f3060,f493]) ).
fof(f10438,plain,
( spl14_852
| ~ spl14_56
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3102,f3055,f488,f10436]) ).
fof(f10436,plain,
( spl14_852
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X0,X1),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_852])]) ).
fof(f3102,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X0,X1),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3089]) ).
fof(f3089,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k11_isocat_2(X3,k11_cat_2(X0,X1),X5,X6)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X0,X1),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_318 ),
inference(resolution,[],[f3056,f489]) ).
fof(f10434,plain,
( spl14_851
| ~ spl14_57
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3101,f3055,f492,f10432]) ).
fof(f10432,plain,
( spl14_851
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_851])]) ).
fof(f3101,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3090]) ).
fof(f3090,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,k12_isocat_2(X3,X5,k11_cat_2(X0,X1),X6)),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X0,X1)))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_318 ),
inference(resolution,[],[f3056,f493]) ).
fof(f10430,plain,
( spl14_850
| ~ spl14_56
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3082,f3051,f488,f10428]) ).
fof(f10428,plain,
( spl14_850
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_850])]) ).
fof(f3082,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3069]) ).
fof(f3069,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_317 ),
inference(resolution,[],[f3052,f489]) ).
fof(f10426,plain,
( ~ spl14_5
| spl14_849
| ~ spl14_6
| ~ spl14_410 ),
inference(avatar_split_clause,[],[f4303,f4276,f219,f10424,f214]) ).
fof(f4276,plain,
( spl14_410
<=> ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK0) = k8_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_410])]) ).
fof(f4303,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK2),sK0) = k8_isocat_2(k11_cat_2(X0,sK2),sK0)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_410 ),
inference(resolution,[],[f4277,f221]) ).
fof(f4277,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k16_cat_2(k11_cat_2(X0,X1),sK0) = k8_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_410 ),
inference(avatar_component_clause,[],[f4276]) ).
fof(f10422,plain,
( spl14_848
| ~ spl14_57
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3081,f3051,f492,f10420]) ).
fof(f10420,plain,
( spl14_848
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_848])]) ).
fof(f3081,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3070]) ).
fof(f3070,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_317 ),
inference(resolution,[],[f3052,f493]) ).
fof(f10141,plain,
( spl14_847
| ~ spl14_56
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3247,f3156,f488,f10139]) ).
fof(f10139,plain,
( spl14_847
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_847])]) ).
fof(f3247,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3226]) ).
fof(f3226,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_324 ),
inference(resolution,[],[f3157,f489]) ).
fof(f10137,plain,
( spl14_846
| ~ spl14_5
| ~ spl14_6
| ~ spl14_819 ),
inference(avatar_split_clause,[],[f10021,f9929,f219,f214,f10134]) ).
fof(f10134,plain,
( spl14_846
<=> k16_cat_2(k11_cat_2(sK2,sK1),sK0) = k8_isocat_2(k11_cat_2(sK2,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_846])]) ).
fof(f9929,plain,
( spl14_819
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK1),sK0) = k8_isocat_2(k11_cat_2(X0,sK1),sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_819])]) ).
fof(f10021,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(k11_cat_2(sK2,sK1),sK0) = k8_isocat_2(k11_cat_2(sK2,sK1),sK0)
| ~ spl14_6
| ~ spl14_819 ),
inference(resolution,[],[f9930,f221]) ).
fof(f9930,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK1),sK0) = k8_isocat_2(k11_cat_2(X0,sK1),sK0) )
| ~ spl14_819 ),
inference(avatar_component_clause,[],[f9929]) ).
fof(f10132,plain,
( spl14_845
| ~ spl14_57
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3246,f3156,f492,f10130]) ).
fof(f10130,plain,
( spl14_845
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_845])]) ).
fof(f3246,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3227]) ).
fof(f3227,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_324 ),
inference(resolution,[],[f3157,f493]) ).
fof(f10128,plain,
( spl14_844
| ~ spl14_56
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3217,f3152,f488,f10126]) ).
fof(f10126,plain,
( spl14_844
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_844])]) ).
fof(f3217,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3196]) ).
fof(f3196,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,X3,X4,X5),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_323 ),
inference(resolution,[],[f3153,f489]) ).
fof(f10124,plain,
( spl14_843
| ~ spl14_57
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3216,f3152,f492,f10122]) ).
fof(f10122,plain,
( spl14_843
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_843])]) ).
fof(f3216,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3197]) ).
fof(f3197,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,X3,X5),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_323 ),
inference(resolution,[],[f3153,f493]) ).
fof(f10120,plain,
( spl14_842
| ~ spl14_56
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3187,f3143,f488,f10118]) ).
fof(f10118,plain,
( spl14_842
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k11_isocat_2(X6,X0,X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k11_isocat_2(X6,X0,X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X6,k11_cat_2(X0,X8))
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_842])]) ).
fof(f3187,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k11_isocat_2(X6,X0,X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k11_isocat_2(X6,X0,X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X6,k11_cat_2(X0,X8))
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8) )
| ~ spl14_56
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3166]) ).
fof(f3166,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k11_isocat_2(X6,X0,X8,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k11_isocat_2(X6,X0,X8,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X6,k11_cat_2(X0,X8))
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_56
| ~ spl14_321 ),
inference(resolution,[],[f3144,f489]) ).
fof(f10116,plain,
( spl14_841
| ~ spl14_57
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3186,f3143,f492,f10114]) ).
fof(f10114,plain,
( spl14_841
<=> ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k12_isocat_2(X6,X8,X0,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k12_isocat_2(X6,X8,X0,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X6,k11_cat_2(X8,X0))
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_841])]) ).
fof(f3186,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k12_isocat_2(X6,X8,X0,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k12_isocat_2(X6,X8,X0,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X6,k11_cat_2(X8,X0))
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8) )
| ~ spl14_57
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3167]) ).
fof(f3167,plain,
( ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k12_isocat_2(X6,X8,X0,X9)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,k12_isocat_2(X6,X8,X0,X9))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X9,X6,k11_cat_2(X8,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_321 ),
inference(resolution,[],[f3144,f493]) ).
fof(f10112,plain,
( spl14_840
| ~ spl14_49
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3184,f3143,f447,f10110]) ).
fof(f10110,plain,
( spl14_840
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k16_cat_2(X0,X6)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k16_cat_2(X0,X6))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X0,X6))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_840])]) ).
fof(f3184,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k16_cat_2(X0,X6)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k16_cat_2(X0,X6))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X0,X6))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_49
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3169]) ).
fof(f3169,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k16_cat_2(X0,X6)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k16_cat_2(X0,X6))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X0,X6))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_49
| ~ spl14_321 ),
inference(resolution,[],[f3144,f448]) ).
fof(f10108,plain,
( spl14_839
| ~ spl14_50
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3183,f3143,f451,f10106]) ).
fof(f10106,plain,
( spl14_839
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k17_cat_2(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k17_cat_2(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X0))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_839])]) ).
fof(f3183,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k17_cat_2(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k17_cat_2(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X0))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_50
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3170]) ).
fof(f3170,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k17_cat_2(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k17_cat_2(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X0))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_50
| ~ spl14_321 ),
inference(resolution,[],[f3144,f452]) ).
fof(f10104,plain,
( spl14_838
| ~ spl14_51
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3182,f3143,f455,f10102]) ).
fof(f10102,plain,
( spl14_838
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k8_isocat_2(X0,X6)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k8_isocat_2(X0,X6))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X0,X6))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_838])]) ).
fof(f3182,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k8_isocat_2(X0,X6)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k8_isocat_2(X0,X6))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X0,X6))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_51
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3171]) ).
fof(f3171,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k8_isocat_2(X0,X6)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X0,X6),X0,X7,k8_isocat_2(X0,X6))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X0,X6))
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_51
| ~ spl14_321 ),
inference(resolution,[],[f3144,f456]) ).
fof(f10100,plain,
( spl14_837
| ~ spl14_52
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3181,f3143,f459,f10098]) ).
fof(f10098,plain,
( spl14_837
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k9_isocat_2(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k9_isocat_2(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X0))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_837])]) ).
fof(f3181,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k9_isocat_2(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k9_isocat_2(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X0))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_52
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3172]) ).
fof(f3172,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k9_isocat_2(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,k11_cat_2(X6,X0),X0,X7,k9_isocat_2(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X0))
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_52
| ~ spl14_321 ),
inference(resolution,[],[f3144,f460]) ).
fof(f10096,plain,
( spl14_836
| ~ spl14_56
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3006,f2913,f488,f10094]) ).
fof(f10094,plain,
( spl14_836
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_836])]) ).
fof(f3006,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2993]) ).
fof(f2993,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_313 ),
inference(resolution,[],[f2914,f489]) ).
fof(f10091,plain,
( spl14_835
| ~ spl14_57
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3005,f2913,f492,f10089]) ).
fof(f10089,plain,
( spl14_835
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_835])]) ).
fof(f3005,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2994]) ).
fof(f2994,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_313 ),
inference(resolution,[],[f2914,f493]) ).
fof(f10087,plain,
( spl14_834
| ~ spl14_56
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2984,f2909,f488,f10085]) ).
fof(f10085,plain,
( spl14_834
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_834])]) ).
fof(f2984,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2971]) ).
fof(f2971,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_312 ),
inference(resolution,[],[f2910,f489]) ).
fof(f10083,plain,
( spl14_833
| ~ spl14_57
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2983,f2909,f492,f10081]) ).
fof(f10081,plain,
( spl14_833
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_833])]) ).
fof(f2983,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2972]) ).
fof(f2972,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_312 ),
inference(resolution,[],[f2910,f493]) ).
fof(f10079,plain,
( spl14_832
| ~ spl14_56
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2962,f2905,f488,f10077]) ).
fof(f10077,plain,
( spl14_832
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_832])]) ).
fof(f2962,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2949]) ).
fof(f2949,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k11_isocat_2(X1,k11_cat_2(X0,X4),X5,X6),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X0,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_311 ),
inference(resolution,[],[f2906,f489]) ).
fof(f10075,plain,
( spl14_831
| ~ spl14_57
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2961,f2905,f492,f10073]) ).
fof(f10073,plain,
( spl14_831
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_831])]) ).
fof(f2961,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2950]) ).
fof(f2950,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,k12_isocat_2(X1,X5,k11_cat_2(X0,X4),X6),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X0,X4)))
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_311 ),
inference(resolution,[],[f2906,f493]) ).
fof(f10071,plain,
( spl14_830
| ~ spl14_56
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2940,f2900,f488,f10069]) ).
fof(f10069,plain,
( spl14_830
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_830])]) ).
fof(f2940,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2927]) ).
fof(f2927,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k11_isocat_2(X1,k11_cat_2(X4,X0),X5,X6),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(k11_cat_2(X4,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_310 ),
inference(resolution,[],[f2901,f489]) ).
fof(f10067,plain,
( spl14_829
| ~ spl14_57
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2939,f2900,f492,f10065]) ).
fof(f10065,plain,
( spl14_829
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_829])]) ).
fof(f2939,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2928]) ).
fof(f2928,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,k12_isocat_2(X1,X5,k11_cat_2(X4,X0),X6),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,k11_cat_2(X4,X0)))
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_310 ),
inference(resolution,[],[f2901,f493]) ).
fof(f10057,plain,
( spl14_828
| ~ spl14_1
| ~ spl14_2
| ~ spl14_819 ),
inference(avatar_split_clause,[],[f10019,f9929,f199,f194,f10054]) ).
fof(f10054,plain,
( spl14_828
<=> k16_cat_2(k11_cat_2(sK0,sK1),sK0) = k8_isocat_2(k11_cat_2(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_828])]) ).
fof(f10019,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(k11_cat_2(sK0,sK1),sK0) = k8_isocat_2(k11_cat_2(sK0,sK1),sK0)
| ~ spl14_2
| ~ spl14_819 ),
inference(resolution,[],[f9930,f201]) ).
fof(f10042,plain,
( spl14_827
| ~ spl14_52
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2449,f2404,f459,f10040]) ).
fof(f10040,plain,
( spl14_827
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k9_isocat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k9_isocat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_827])]) ).
fof(f2404,plain,
( spl14_265
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,X1,X2,k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2)) = k5_relat_1(k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_265])]) ).
fof(f2449,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k9_isocat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k9_isocat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_265 ),
inference(resolution,[],[f2405,f460]) ).
fof(f2405,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X1,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,X1,X2,k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2)) = k5_relat_1(k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_265 ),
inference(avatar_component_clause,[],[f2404]) ).
fof(f10038,plain,
( spl14_826
| ~ spl14_51
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2448,f2404,f455,f10036]) ).
fof(f10036,plain,
( spl14_826
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k8_isocat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k8_isocat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_826])]) ).
fof(f2448,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k8_isocat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k8_isocat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_51
| ~ spl14_265 ),
inference(resolution,[],[f2405,f456]) ).
fof(f10034,plain,
( spl14_825
| ~ spl14_50
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2447,f2404,f451,f10032]) ).
fof(f10032,plain,
( spl14_825
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k17_cat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k17_cat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_825])]) ).
fof(f2447,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X3)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k17_cat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X3)),X1,X3,k17_cat_2(X2,k11_cat_2(X1,X3))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_265 ),
inference(resolution,[],[f2405,f452]) ).
fof(f10030,plain,
( spl14_824
| ~ spl14_49
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2446,f2404,f447,f10028]) ).
fof(f10028,plain,
( spl14_824
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k16_cat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k16_cat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_824])]) ).
fof(f2446,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X2),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k16_cat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(X1,X2),X3),X1,X2,k16_cat_2(k11_cat_2(X1,X2),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_49
| ~ spl14_265 ),
inference(resolution,[],[f2405,f448]) ).
fof(f10026,plain,
( spl14_823
| ~ spl14_52
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2433,f2400,f459,f10024]) ).
fof(f10024,plain,
( spl14_823
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,X1)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k9_isocat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k9_isocat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_823])]) ).
fof(f2400,plain,
( spl14_264
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,X1,X2,k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_264])]) ).
fof(f2433,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,X1)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k9_isocat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k9_isocat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_264 ),
inference(resolution,[],[f2401,f460]) ).
fof(f2401,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X3,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,X1,X2,k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_264 ),
inference(avatar_component_clause,[],[f2400]) ).
fof(f10013,plain,
( spl14_822
| ~ spl14_51
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2432,f2400,f455,f10011]) ).
fof(f10011,plain,
( spl14_822
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,X1),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k8_isocat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k8_isocat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_822])]) ).
fof(f2432,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,X1),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k8_isocat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k8_isocat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) )
| ~ spl14_51
| ~ spl14_264 ),
inference(resolution,[],[f2401,f456]) ).
fof(f10009,plain,
( spl14_821
| ~ spl14_50
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2431,f2400,f451,f10007]) ).
fof(f10007,plain,
( spl14_821
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,X1)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k17_cat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k17_cat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_821])]) ).
fof(f2431,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X1)))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,X1)),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k17_cat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X1)),X3,X1,k17_cat_2(X2,k11_cat_2(X3,X1))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_264 ),
inference(resolution,[],[f2401,f452]) ).
fof(f10005,plain,
( spl14_820
| ~ spl14_49
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2430,f2400,f447,f10003]) ).
fof(f10003,plain,
( spl14_820
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,X1),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k16_cat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k16_cat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_820])]) ).
fof(f2430,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X1),X3))
| k2_isocat_1(k11_cat_2(k11_cat_2(X2,X1),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k16_cat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X2,X1),X3),X2,X1,k16_cat_2(k11_cat_2(X2,X1),X3)),sK8(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1)) )
| ~ spl14_49
| ~ spl14_264 ),
inference(resolution,[],[f2401,f448]) ).
fof(f9931,plain,
( ~ spl14_3
| spl14_819
| ~ spl14_4
| ~ spl14_410 ),
inference(avatar_split_clause,[],[f4302,f4276,f209,f9929,f204]) ).
fof(f4302,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK1),sK0) = k8_isocat_2(k11_cat_2(X0,sK1),sK0)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_410 ),
inference(resolution,[],[f4277,f211]) ).
fof(f9921,plain,
( spl14_818
| ~ spl14_46
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3362,f3324,f425,f9919]) ).
fof(f9919,plain,
( spl14_818
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,sK8(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,sK8(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_818])]) ).
fof(f3362,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,sK8(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,sK8(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_331 ),
inference(duplicate_literal_removal,[],[f3347]) ).
fof(f3347,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,sK8(X5,k11_cat_2(X0,X4))))) = k5_relat_1(X3,k11_isocat_2(X1,X0,X4,k2_isocat_1(X1,X5,k11_cat_2(X0,X4),X6,sK8(X5,k11_cat_2(X0,X4)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_331 ),
inference(resolution,[],[f3325,f426]) ).
fof(f9917,plain,
( spl14_817
| ~ spl14_46
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3344,f3320,f425,f9915]) ).
fof(f9915,plain,
( spl14_817
<=> ! [X6,X4,X3,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,sK8(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,sK8(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_817])]) ).
fof(f3344,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,sK8(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,sK8(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_330 ),
inference(duplicate_literal_removal,[],[f3329]) ).
fof(f3329,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,sK8(X5,k11_cat_2(X4,X0))))) = k5_relat_1(X3,k12_isocat_2(X1,X4,X0,k2_isocat_1(X1,X5,k11_cat_2(X4,X0),X6,sK8(X5,k11_cat_2(X4,X0)))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_46
| ~ spl14_330 ),
inference(resolution,[],[f3321,f426]) ).
fof(f9913,plain,
( spl14_816
| ~ spl14_46
| ~ spl14_308 ),
inference(avatar_split_clause,[],[f2898,f2762,f425,f9911]) ).
fof(f9911,plain,
( spl14_816
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_816])]) ).
fof(f2898,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) )
| ~ spl14_46
| ~ spl14_308 ),
inference(duplicate_literal_removal,[],[f2887]) ).
fof(f2887,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_308 ),
inference(resolution,[],[f2763,f426]) ).
fof(f9909,plain,
( spl14_815
| ~ spl14_46
| ~ spl14_307 ),
inference(avatar_split_clause,[],[f2886,f2758,f425,f9907]) ).
fof(f9907,plain,
( spl14_815
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_815])]) ).
fof(f2886,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) )
| ~ spl14_46
| ~ spl14_307 ),
inference(duplicate_literal_removal,[],[f2875]) ).
fof(f2875,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k16_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_307 ),
inference(resolution,[],[f2759,f426]) ).
fof(f9905,plain,
( spl14_814
| ~ spl14_46
| ~ spl14_301 ),
inference(avatar_split_clause,[],[f2866,f2733,f425,f9903]) ).
fof(f9903,plain,
( spl14_814
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_814])]) ).
fof(f2866,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_46
| ~ spl14_301 ),
inference(duplicate_literal_removal,[],[f2855]) ).
fof(f2855,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_301 ),
inference(resolution,[],[f2734,f426]) ).
fof(f9901,plain,
( spl14_813
| ~ spl14_46
| ~ spl14_300 ),
inference(avatar_split_clause,[],[f2854,f2729,f425,f9899]) ).
fof(f9899,plain,
( spl14_813
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_813])]) ).
fof(f2854,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_46
| ~ spl14_300 ),
inference(duplicate_literal_removal,[],[f2843]) ).
fof(f2843,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k17_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_300 ),
inference(resolution,[],[f2730,f426]) ).
fof(f9897,plain,
( spl14_812
| ~ spl14_46
| ~ spl14_295 ),
inference(avatar_split_clause,[],[f2829,f2709,f425,f9895]) ).
fof(f9895,plain,
( spl14_812
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_812])]) ).
fof(f2829,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3)) )
| ~ spl14_46
| ~ spl14_295 ),
inference(duplicate_literal_removal,[],[f2818]) ).
fof(f2818,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X0,X1),X3,sK8(X2,k11_cat_2(k11_cat_2(X0,X1),X3))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_295 ),
inference(resolution,[],[f2710,f426]) ).
fof(f9892,plain,
( spl14_811
| ~ spl14_46
| ~ spl14_294 ),
inference(avatar_split_clause,[],[f2817,f2705,f425,f9890]) ).
fof(f9890,plain,
( spl14_811
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_811])]) ).
fof(f2817,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1))) )
| ~ spl14_46
| ~ spl14_294 ),
inference(duplicate_literal_removal,[],[f2806]) ).
fof(f2806,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X0,X1),sK8(X2,k11_cat_2(X3,k11_cat_2(X0,X1)))),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_294 ),
inference(resolution,[],[f2706,f426]) ).
fof(f9888,plain,
( spl14_810
| ~ spl14_46
| ~ spl14_289 ),
inference(avatar_split_clause,[],[f2797,f2684,f425,f9886]) ).
fof(f9886,plain,
( spl14_810
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_810])]) ).
fof(f2797,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_46
| ~ spl14_289 ),
inference(duplicate_literal_removal,[],[f2786]) ).
fof(f2786,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0)) = k5_relat_1(k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_289 ),
inference(resolution,[],[f2685,f426]) ).
fof(f9884,plain,
( spl14_809
| ~ spl14_46
| ~ spl14_288 ),
inference(avatar_split_clause,[],[f2784,f2680,f425,f9882]) ).
fof(f9882,plain,
( spl14_809
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_809])]) ).
fof(f2784,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_46
| ~ spl14_288 ),
inference(duplicate_literal_removal,[],[f2773]) ).
fof(f2773,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_288 ),
inference(resolution,[],[f2681,f426]) ).
fof(f9844,plain,
( spl14_808
| ~ spl14_58
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2450,f2404,f501,f9842]) ).
fof(f9842,plain,
( spl14_808
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k2_isocat_1(X2,X4,k11_cat_2(X1,X3),X5,X6)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k2_isocat_1(X2,X4,k11_cat_2(X1,X3),X5,X6)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_808])]) ).
fof(f2450,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k2_isocat_1(X2,X4,k11_cat_2(X1,X3),X5,X6)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k2_isocat_1(X2,X4,k11_cat_2(X1,X3),X5,X6)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_265 ),
inference(duplicate_literal_removal,[],[f2445]) ).
fof(f2445,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k2_isocat_1(X2,X4,k11_cat_2(X1,X3),X5,X6)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k2_isocat_1(X2,X4,k11_cat_2(X1,X3),X5,X6)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X1,X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_265 ),
inference(resolution,[],[f2405,f502]) ).
fof(f9840,plain,
( spl14_807
| ~ spl14_58
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2434,f2400,f501,f9838]) ).
fof(f9838,plain,
( spl14_807
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k2_isocat_1(X2,X4,k11_cat_2(X3,X1),X5,X6)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k2_isocat_1(X2,X4,k11_cat_2(X3,X1),X5,X6)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,X1))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_807])]) ).
fof(f2434,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k2_isocat_1(X2,X4,k11_cat_2(X3,X1),X5,X6)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k2_isocat_1(X2,X4,k11_cat_2(X3,X1),X5,X6)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,X1))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_264 ),
inference(duplicate_literal_removal,[],[f2429]) ).
fof(f2429,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k2_isocat_1(X2,X4,k11_cat_2(X3,X1),X5,X6)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k2_isocat_1(X2,X4,k11_cat_2(X3,X1),X5,X6)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,X1))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_264 ),
inference(resolution,[],[f2401,f502]) ).
fof(f9746,plain,
( spl14_806
| ~ spl14_5
| ~ spl14_6
| ~ spl14_786 ),
inference(avatar_split_clause,[],[f9508,f9268,f219,f214,f9743]) ).
fof(f9743,plain,
( spl14_806
<=> k16_cat_2(k11_cat_2(sK2,sK0),sK0) = k8_isocat_2(k11_cat_2(sK2,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_806])]) ).
fof(f9268,plain,
( spl14_786
<=> ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK0),sK0) = k8_isocat_2(k11_cat_2(X0,sK0),sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_786])]) ).
fof(f9508,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(k11_cat_2(sK2,sK0),sK0) = k8_isocat_2(k11_cat_2(sK2,sK0),sK0)
| ~ spl14_6
| ~ spl14_786 ),
inference(resolution,[],[f9269,f221]) ).
fof(f9269,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(k11_cat_2(X0,sK0),sK0) = k8_isocat_2(k11_cat_2(X0,sK0),sK0) )
| ~ spl14_786 ),
inference(avatar_component_clause,[],[f9268]) ).
fof(f9711,plain,
( spl14_805
| ~ spl14_46
| ~ spl14_315 ),
inference(avatar_split_clause,[],[f3047,f2921,f425,f9709]) ).
fof(f9709,plain,
( spl14_805
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,sK8(X4,k11_cat_2(X0,X6))))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,sK8(X4,k11_cat_2(X0,X6)))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_805])]) ).
fof(f3047,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,sK8(X4,k11_cat_2(X0,X6))))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,sK8(X4,k11_cat_2(X0,X6)))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6)) )
| ~ spl14_46
| ~ spl14_315 ),
inference(duplicate_literal_removal,[],[f3036]) ).
fof(f3036,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,sK8(X4,k11_cat_2(X0,X6))))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k11_isocat_2(X4,X0,X6,sK8(X4,k11_cat_2(X0,X6)))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_315 ),
inference(resolution,[],[f2922,f426]) ).
fof(f9707,plain,
( spl14_804
| ~ spl14_46
| ~ spl14_314 ),
inference(avatar_split_clause,[],[f3025,f2917,f425,f9705]) ).
fof(f9705,plain,
( spl14_804
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,sK8(X4,k11_cat_2(X6,X0))))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,sK8(X4,k11_cat_2(X6,X0)))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_804])]) ).
fof(f3025,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,sK8(X4,k11_cat_2(X6,X0))))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,sK8(X4,k11_cat_2(X6,X0)))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0)) )
| ~ spl14_46
| ~ spl14_314 ),
inference(duplicate_literal_removal,[],[f3014]) ).
fof(f3014,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,sK8(X4,k11_cat_2(X6,X0))))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k12_isocat_2(X4,X6,X0,sK8(X4,k11_cat_2(X6,X0)))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_314 ),
inference(resolution,[],[f2918,f426]) ).
fof(f9703,plain,
( spl14_803
| ~ spl14_58
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2605,f2546,f501,f9701]) ).
fof(f9701,plain,
( spl14_803
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,X5),k11_isocat_2(X1,X0,X6,sK8(X1,k11_cat_2(X0,X6)))) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,X5),k11_isocat_2(X1,X0,X6,sK8(X1,k11_cat_2(X0,X6))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_803])]) ).
fof(f2546,plain,
( spl14_274
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_274])]) ).
fof(f2605,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,X5),k11_isocat_2(X1,X0,X6,sK8(X1,k11_cat_2(X0,X6)))) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,X5),k11_isocat_2(X1,X0,X6,sK8(X1,k11_cat_2(X0,X6))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2588]) ).
fof(f2588,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,X5),k11_isocat_2(X1,X0,X6,sK8(X1,k11_cat_2(X0,X6)))) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,X5),k11_isocat_2(X1,X0,X6,sK8(X1,k11_cat_2(X0,X6))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X0,X6))
| ~ v2_cat_1(k11_cat_2(X0,X6))
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_274 ),
inference(resolution,[],[f2547,f502]) ).
fof(f2547,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4)) )
| ~ spl14_274 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f9699,plain,
( spl14_802
| ~ spl14_58
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2575,f2542,f501,f9697]) ).
fof(f9697,plain,
( spl14_802
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,X5),k12_isocat_2(X1,X6,X0,sK8(X1,k11_cat_2(X6,X0)))) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,X5),k12_isocat_2(X1,X6,X0,sK8(X1,k11_cat_2(X6,X0))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_802])]) ).
fof(f2542,plain,
( spl14_273
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3)))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_273])]) ).
fof(f2575,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,X5),k12_isocat_2(X1,X6,X0,sK8(X1,k11_cat_2(X6,X0)))) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,X5),k12_isocat_2(X1,X6,X0,sK8(X1,k11_cat_2(X6,X0))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2558]) ).
fof(f2558,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,X5),k12_isocat_2(X1,X6,X0,sK8(X1,k11_cat_2(X6,X0)))) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,X5),k12_isocat_2(X1,X6,X0,sK8(X1,k11_cat_2(X6,X0))))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(k11_cat_2(X6,X0))
| ~ v2_cat_1(k11_cat_2(X6,X0))
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_273 ),
inference(resolution,[],[f2543,f502]) ).
fof(f2543,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3)))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3)) )
| ~ spl14_273 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f9638,plain,
( spl14_801
| ~ spl14_45
| ~ spl14_336 ),
inference(avatar_split_clause,[],[f3391,f3381,f421,f9636]) ).
fof(f9636,plain,
( spl14_801
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_801])]) ).
fof(f3381,plain,
( spl14_336
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_336])]) ).
fof(f3391,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_45
| ~ spl14_336 ),
inference(duplicate_literal_removal,[],[f3390]) ).
fof(f3390,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_336 ),
inference(resolution,[],[f3382,f422]) ).
fof(f3382,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_336 ),
inference(avatar_component_clause,[],[f3381]) ).
fof(f9634,plain,
( spl14_800
| ~ spl14_45
| ~ spl14_334 ),
inference(avatar_split_clause,[],[f3389,f3372,f421,f9632]) ).
fof(f9632,plain,
( spl14_800
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_800])]) ).
fof(f3372,plain,
( spl14_334
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_334])]) ).
fof(f3389,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_334 ),
inference(duplicate_literal_removal,[],[f3388]) ).
fof(f3388,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_45
| ~ spl14_334 ),
inference(resolution,[],[f3373,f422]) ).
fof(f3373,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_334 ),
inference(avatar_component_clause,[],[f3372]) ).
fof(f9630,plain,
( spl14_799
| ~ spl14_45
| ~ spl14_333 ),
inference(avatar_split_clause,[],[f3387,f3368,f421,f9628]) ).
fof(f9628,plain,
( spl14_799
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_799])]) ).
fof(f3368,plain,
( spl14_333
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_333])]) ).
fof(f3387,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_45
| ~ spl14_333 ),
inference(duplicate_literal_removal,[],[f3386]) ).
fof(f3386,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_333 ),
inference(resolution,[],[f3369,f422]) ).
fof(f3369,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_333 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f9626,plain,
( spl14_798
| ~ spl14_45
| ~ spl14_332 ),
inference(avatar_split_clause,[],[f3385,f3364,f421,f9624]) ).
fof(f9624,plain,
( spl14_798
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_798])]) ).
fof(f3364,plain,
( spl14_332
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_332])]) ).
fof(f3385,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_45
| ~ spl14_332 ),
inference(duplicate_literal_removal,[],[f3384]) ).
fof(f3384,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_45
| ~ spl14_332 ),
inference(resolution,[],[f3365,f422]) ).
fof(f3365,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_332 ),
inference(avatar_component_clause,[],[f3364]) ).
fof(f9622,plain,
( spl14_797
| ~ spl14_56
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2452,f2404,f488,f9620]) ).
fof(f9620,plain,
( spl14_797
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k11_isocat_2(X2,k11_cat_2(X1,X3),X4,X5)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k11_isocat_2(X2,k11_cat_2(X1,X3),X4,X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X1,X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_797])]) ).
fof(f2452,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k11_isocat_2(X2,k11_cat_2(X1,X3),X4,X5)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k11_isocat_2(X2,k11_cat_2(X1,X3),X4,X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X1,X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3)) )
| ~ spl14_56
| ~ spl14_265 ),
inference(duplicate_literal_removal,[],[f2443]) ).
fof(f2443,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k11_isocat_2(X2,k11_cat_2(X1,X3),X4,X5)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k11_isocat_2(X2,k11_cat_2(X1,X3),X4,X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X1,X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_265 ),
inference(resolution,[],[f2405,f489]) ).
fof(f9618,plain,
( spl14_796
| ~ spl14_57
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2451,f2404,f492,f9616]) ).
fof(f9616,plain,
( spl14_796
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k12_isocat_2(X2,X4,k11_cat_2(X1,X3),X5)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k12_isocat_2(X2,X4,k11_cat_2(X1,X3),X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X1,X3)))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_796])]) ).
fof(f2451,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k12_isocat_2(X2,X4,k11_cat_2(X1,X3),X5)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k12_isocat_2(X2,X4,k11_cat_2(X1,X3),X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X1,X3)))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_265 ),
inference(duplicate_literal_removal,[],[f2444]) ).
fof(f2444,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,k12_isocat_2(X2,X4,k11_cat_2(X1,X3),X5)),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,k12_isocat_2(X2,X4,k11_cat_2(X1,X3),X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X1,X3)))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_265 ),
inference(resolution,[],[f2405,f493]) ).
fof(f9614,plain,
( spl14_795
| ~ spl14_56
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2436,f2400,f488,f9612]) ).
fof(f9612,plain,
( spl14_795
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k11_isocat_2(X2,k11_cat_2(X3,X1),X4,X5)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k11_isocat_2(X2,k11_cat_2(X3,X1),X4,X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,X1),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_795])]) ).
fof(f2436,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k11_isocat_2(X2,k11_cat_2(X3,X1),X4,X5)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k11_isocat_2(X2,k11_cat_2(X3,X1),X4,X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,X1),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1)) )
| ~ spl14_56
| ~ spl14_264 ),
inference(duplicate_literal_removal,[],[f2427]) ).
fof(f2427,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k11_isocat_2(X2,k11_cat_2(X3,X1),X4,X5)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k11_isocat_2(X2,k11_cat_2(X3,X1),X4,X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,X1),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_264 ),
inference(resolution,[],[f2401,f489]) ).
fof(f9610,plain,
( spl14_794
| ~ spl14_3
| ~ spl14_4
| ~ spl14_786 ),
inference(avatar_split_clause,[],[f9507,f9268,f209,f204,f9607]) ).
fof(f9607,plain,
( spl14_794
<=> k16_cat_2(k11_cat_2(sK1,sK0),sK0) = k8_isocat_2(k11_cat_2(sK1,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_794])]) ).
fof(f9507,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(k11_cat_2(sK1,sK0),sK0) = k8_isocat_2(k11_cat_2(sK1,sK0),sK0)
| ~ spl14_4
| ~ spl14_786 ),
inference(resolution,[],[f9269,f211]) ).
fof(f9605,plain,
( spl14_793
| ~ spl14_57
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2435,f2400,f492,f9603]) ).
fof(f9603,plain,
( spl14_793
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k12_isocat_2(X2,X4,k11_cat_2(X3,X1),X5)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k12_isocat_2(X2,X4,k11_cat_2(X3,X1),X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,X1)))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_793])]) ).
fof(f2435,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k12_isocat_2(X2,X4,k11_cat_2(X3,X1),X5)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k12_isocat_2(X2,X4,k11_cat_2(X3,X1),X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,X1)))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_264 ),
inference(duplicate_literal_removal,[],[f2428]) ).
fof(f2428,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,k12_isocat_2(X2,X4,k11_cat_2(X3,X1),X5)),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,k12_isocat_2(X2,X4,k11_cat_2(X3,X1),X5)),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,X1)))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_264 ),
inference(resolution,[],[f2401,f493]) ).
fof(f9537,plain,
( spl14_792
| ~ spl14_56
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2607,f2546,f488,f9535]) ).
fof(f9535,plain,
( spl14_792
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5)))) = k5_relat_1(k11_isocat_2(X2,X1,X3,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_792])]) ).
fof(f2607,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5)))) = k5_relat_1(k11_isocat_2(X2,X1,X3,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2586]) ).
fof(f2586,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5)))) = k5_relat_1(k11_isocat_2(X2,X1,X3,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_274 ),
inference(resolution,[],[f2547,f489]) ).
fof(f9533,plain,
( spl14_791
| ~ spl14_57
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2606,f2546,f492,f9531]) ).
fof(f9531,plain,
( spl14_791
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5)))) = k5_relat_1(k12_isocat_2(X2,X3,X1,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_791])]) ).
fof(f2606,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5)))) = k5_relat_1(k12_isocat_2(X2,X3,X1,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2587]) ).
fof(f2587,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5)))) = k5_relat_1(k12_isocat_2(X2,X3,X1,X4),k11_isocat_2(X1,X0,X5,sK8(X1,k11_cat_2(X0,X5))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X0,X5))
| ~ v2_cat_1(k11_cat_2(X0,X5))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_274 ),
inference(resolution,[],[f2547,f493]) ).
fof(f9529,plain,
( spl14_790
| ~ spl14_56
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2577,f2542,f488,f9527]) ).
fof(f9527,plain,
( spl14_790
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0)))) = k5_relat_1(k11_isocat_2(X2,X1,X3,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_790])]) ).
fof(f2577,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0)))) = k5_relat_1(k11_isocat_2(X2,X1,X3,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2556]) ).
fof(f2556,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0)))) = k5_relat_1(k11_isocat_2(X2,X1,X3,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_273 ),
inference(resolution,[],[f2543,f489]) ).
fof(f9525,plain,
( spl14_789
| ~ spl14_57
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2576,f2542,f492,f9523]) ).
fof(f9523,plain,
( spl14_789
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0)))) = k5_relat_1(k12_isocat_2(X2,X3,X1,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_789])]) ).
fof(f2576,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0)))) = k5_relat_1(k12_isocat_2(X2,X3,X1,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2557]) ).
fof(f2557,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0)))) = k5_relat_1(k12_isocat_2(X2,X3,X1,X4),k12_isocat_2(X1,X5,X0,sK8(X1,k11_cat_2(X5,X0))))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X5,X0))
| ~ v2_cat_1(k11_cat_2(X5,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_273 ),
inference(resolution,[],[f2543,f493]) ).
fof(f9278,plain,
( spl14_788
| ~ spl14_46
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3248,f3156,f425,f9276]) ).
fof(f9276,plain,
( spl14_788
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_788])]) ).
fof(f3248,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_324 ),
inference(duplicate_literal_removal,[],[f3225]) ).
fof(f3225,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_324 ),
inference(resolution,[],[f3157,f426]) ).
fof(f9274,plain,
( spl14_787
| ~ spl14_46
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3218,f3152,f425,f9272]) ).
fof(f9272,plain,
( spl14_787
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_787])]) ).
fof(f3218,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_323 ),
inference(duplicate_literal_removal,[],[f3195]) ).
fof(f3195,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),sK8(X2,X3),sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_323 ),
inference(resolution,[],[f3153,f426]) ).
fof(f9270,plain,
( ~ spl14_1
| spl14_786
| ~ spl14_2
| ~ spl14_410 ),
inference(avatar_split_clause,[],[f4301,f4276,f199,f9268,f194]) ).
fof(f4301,plain,
( ! [X0] :
( k16_cat_2(k11_cat_2(X0,sK0),sK0) = k8_isocat_2(k11_cat_2(X0,sK0),sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_410 ),
inference(resolution,[],[f4277,f201]) ).
fof(f9266,plain,
( spl14_785
| ~ spl14_46
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3188,f3143,f425,f9264]) ).
fof(f9264,plain,
( spl14_785
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,sK8(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,sK8(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_785])]) ).
fof(f3188,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,sK8(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,sK8(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_46
| ~ spl14_321 ),
inference(duplicate_literal_removal,[],[f3165]) ).
fof(f3165,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,sK8(X6,X0)))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,X5,k2_isocat_1(X4,X6,X0,X7,sK8(X6,X0))))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X3,X2,X1)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_46
| ~ spl14_321 ),
inference(resolution,[],[f3144,f426]) ).
fof(f9262,plain,
( spl14_784
| ~ spl14_46
| ~ spl14_320 ),
inference(avatar_split_clause,[],[f3141,f3063,f425,f9260]) ).
fof(f9260,plain,
( spl14_784
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_784])]) ).
fof(f3141,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_320 ),
inference(duplicate_literal_removal,[],[f3126]) ).
fof(f3126,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k16_cat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_320 ),
inference(resolution,[],[f3064,f426]) ).
fof(f9258,plain,
( spl14_783
| ~ spl14_46
| ~ spl14_319 ),
inference(avatar_split_clause,[],[f3123,f3059,f425,f9256]) ).
fof(f9256,plain,
( spl14_783
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_783])]) ).
fof(f3123,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_319 ),
inference(duplicate_literal_removal,[],[f3108]) ).
fof(f3108,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k17_cat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_319 ),
inference(resolution,[],[f3060,f426]) ).
fof(f9254,plain,
( spl14_782
| ~ spl14_46
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3103,f3055,f425,f9252]) ).
fof(f9252,plain,
( spl14_782
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_782])]) ).
fof(f3103,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_318 ),
inference(duplicate_literal_removal,[],[f3088]) ).
fof(f3088,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X0,X1),X0,k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X0,X1),X4,sK8(X3,k11_cat_2(X0,X1))),k8_isocat_2(X0,X1))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_318 ),
inference(resolution,[],[f3056,f426]) ).
fof(f9250,plain,
( spl14_781
| ~ spl14_46
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3083,f3051,f425,f9248]) ).
fof(f9248,plain,
( spl14_781
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_781])]) ).
fof(f3083,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_317 ),
inference(duplicate_literal_removal,[],[f3068]) ).
fof(f3068,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_317 ),
inference(resolution,[],[f3052,f426]) ).
fof(f9246,plain,
( spl14_780
| ~ spl14_58
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2537,f2473,f501,f9244]) ).
fof(f9244,plain,
( spl14_780
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k2_isocat_1(X1,X5,X4,X6,X7),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k2_isocat_1(X1,X5,X4,X6,X7),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,X4)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_780])]) ).
fof(f2473,plain,
( spl14_271
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_271])]) ).
fof(f2537,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k2_isocat_1(X1,X5,X4,X6,X7),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k2_isocat_1(X1,X5,X4,X6,X7),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,X4)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2520]) ).
fof(f2520,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k2_isocat_1(X1,X5,X4,X6,X7),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k2_isocat_1(X1,X5,X4,X6,X7),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,X4)
| ~ m2_cat_1(X6,X1,X5)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_271 ),
inference(resolution,[],[f2474,f502]) ).
fof(f2474,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3)))
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_271 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f9242,plain,
( spl14_779
| ~ spl14_58
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2502,f2469,f501,f9240]) ).
fof(f9240,plain,
( spl14_779
<=> ! [X5,X3,X4,X0,X7,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k2_isocat_1(X3,X5,X1,X6,X7)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k2_isocat_1(X3,X5,X1,X6,X7)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,X1)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_779])]) ).
fof(f2469,plain,
( spl14_270
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_isocat_1(X0,X1,X2,k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_270])]) ).
fof(f2502,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k2_isocat_1(X3,X5,X1,X6,X7)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k2_isocat_1(X3,X5,X1,X6,X7)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,X1)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2485]) ).
fof(f2485,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k2_isocat_1(X3,X5,X1,X6,X7)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k2_isocat_1(X3,X5,X1,X6,X7)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,X1)
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_270 ),
inference(resolution,[],[f2470,f502]) ).
fof(f2470,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X3,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,X1,X2,k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_270 ),
inference(avatar_component_clause,[],[f2469]) ).
fof(f9178,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_199
| ~ spl14_101
| spl14_495 ),
inference(avatar_split_clause,[],[f5228,f5218,f833,f1700,f219,f214,f199,f194]) ).
fof(f1700,plain,
( spl14_199
<=> m2_cat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_199])]) ).
fof(f5218,plain,
( spl14_495
<=> r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK3,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_495])]) ).
fof(f5228,plain,
( ~ m2_cat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_101
| spl14_495 ),
inference(resolution,[],[f5219,f834]) ).
fof(f5219,plain,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| spl14_495 ),
inference(avatar_component_clause,[],[f5218]) ).
fof(f8962,plain,
( spl14_778
| ~ spl14_46
| ~ spl14_313 ),
inference(avatar_split_clause,[],[f3007,f2913,f425,f8960]) ).
fof(f8960,plain,
( spl14_778
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_778])]) ).
fof(f3007,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_313 ),
inference(duplicate_literal_removal,[],[f2992]) ).
fof(f2992,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k16_cat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k16_cat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_313 ),
inference(resolution,[],[f2914,f426]) ).
fof(f8958,plain,
( spl14_777
| ~ spl14_46
| ~ spl14_312 ),
inference(avatar_split_clause,[],[f2985,f2909,f425,f8956]) ).
fof(f8956,plain,
( spl14_777
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_777])]) ).
fof(f2985,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_312 ),
inference(duplicate_literal_removal,[],[f2970]) ).
fof(f2970,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k17_cat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k17_cat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_312 ),
inference(resolution,[],[f2910,f426]) ).
fof(f8954,plain,
( spl14_776
| ~ spl14_46
| ~ spl14_311 ),
inference(avatar_split_clause,[],[f2963,f2905,f425,f8952]) ).
fof(f8952,plain,
( spl14_776
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_776])]) ).
fof(f2963,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_311 ),
inference(duplicate_literal_removal,[],[f2948]) ).
fof(f2948,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k8_isocat_2(X0,X4))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X0,X4),X0,sK8(X1,k11_cat_2(X0,X4)),k8_isocat_2(X0,X4)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X0,X4))
| ~ v2_cat_1(k11_cat_2(X0,X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_311 ),
inference(resolution,[],[f2906,f426]) ).
fof(f8950,plain,
( spl14_775
| ~ spl14_46
| ~ spl14_310 ),
inference(avatar_split_clause,[],[f2941,f2900,f425,f8948]) ).
fof(f8948,plain,
( spl14_775
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_775])]) ).
fof(f2941,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_310 ),
inference(duplicate_literal_removal,[],[f2926]) ).
fof(f2926,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k9_isocat_2(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,k11_cat_2(X4,X0),X0,sK8(X1,k11_cat_2(X4,X0)),k9_isocat_2(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,X0))
| ~ v2_cat_1(k11_cat_2(X4,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_310 ),
inference(resolution,[],[f2901,f426]) ).
fof(f8946,plain,
( spl14_774
| ~ spl14_49
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2604,f2546,f447,f8944]) ).
fof(f8944,plain,
( spl14_774
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k16_cat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_774])]) ).
fof(f2604,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k16_cat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2589]) ).
fof(f2589,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k16_cat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_274 ),
inference(resolution,[],[f2547,f448]) ).
fof(f8942,plain,
( spl14_773
| ~ spl14_50
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2603,f2546,f451,f8940]) ).
fof(f8940,plain,
( spl14_773
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k17_cat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_773])]) ).
fof(f2603,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k17_cat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2590]) ).
fof(f2590,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k17_cat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_274 ),
inference(resolution,[],[f2547,f452]) ).
fof(f8938,plain,
( spl14_772
| ~ spl14_649
| ~ spl14_68
| ~ spl14_650 ),
inference(avatar_split_clause,[],[f7743,f7304,f608,f7300,f8935]) ).
fof(f8935,plain,
( spl14_772
<=> k17_cat_2(k11_cat_2(sK2,sK2),sK2) = k9_isocat_2(k11_cat_2(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_772])]) ).
fof(f7300,plain,
( spl14_649
<=> v2_cat_1(k11_cat_2(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_649])]) ).
fof(f608,plain,
( spl14_68
<=> ! [X0] :
( k17_cat_2(X0,sK2) = k9_isocat_2(X0,sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
fof(f7304,plain,
( spl14_650
<=> l1_cat_1(k11_cat_2(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_650])]) ).
fof(f7743,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK2))
| k17_cat_2(k11_cat_2(sK2,sK2),sK2) = k9_isocat_2(k11_cat_2(sK2,sK2),sK2)
| ~ spl14_68
| ~ spl14_650 ),
inference(resolution,[],[f7305,f609]) ).
fof(f609,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,sK2) = k9_isocat_2(X0,sK2) )
| ~ spl14_68 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f7305,plain,
( l1_cat_1(k11_cat_2(sK2,sK2))
| ~ spl14_650 ),
inference(avatar_component_clause,[],[f7304]) ).
fof(f8933,plain,
( spl14_771
| ~ spl14_51
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2602,f2546,f455,f8931]) ).
fof(f8931,plain,
( spl14_771
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k8_isocat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_771])]) ).
fof(f2602,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k8_isocat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2591]) ).
fof(f2591,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k8_isocat_2(X1,X2),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_274 ),
inference(resolution,[],[f2547,f456]) ).
fof(f8929,plain,
( spl14_770
| ~ spl14_52
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2601,f2546,f459,f8927]) ).
fof(f8927,plain,
( spl14_770
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k9_isocat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_770])]) ).
fof(f2601,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k9_isocat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2592]) ).
fof(f2592,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(k9_isocat_2(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_274 ),
inference(resolution,[],[f2547,f460]) ).
fof(f8925,plain,
( spl14_769
| ~ spl14_49
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2574,f2542,f447,f8923]) ).
fof(f8923,plain,
( spl14_769
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k16_cat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_769])]) ).
fof(f2574,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k16_cat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2559]) ).
fof(f2559,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k16_cat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_273 ),
inference(resolution,[],[f2543,f448]) ).
fof(f8921,plain,
( spl14_768
| ~ spl14_50
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2573,f2542,f451,f8919]) ).
fof(f8919,plain,
( spl14_768
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k17_cat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_768])]) ).
fof(f2573,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k17_cat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2560]) ).
fof(f2560,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k17_cat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_273 ),
inference(resolution,[],[f2543,f452]) ).
fof(f8917,plain,
( spl14_767
| ~ spl14_51
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2572,f2542,f455,f8915]) ).
fof(f8915,plain,
( spl14_767
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k8_isocat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_767])]) ).
fof(f2572,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k8_isocat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2561]) ).
fof(f2561,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k8_isocat_2(X1,X2),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_273 ),
inference(resolution,[],[f2543,f456]) ).
fof(f8913,plain,
( spl14_766
| ~ spl14_52
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2571,f2542,f459,f8911]) ).
fof(f8911,plain,
( spl14_766
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k9_isocat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_766])]) ).
fof(f2571,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k9_isocat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2562]) ).
fof(f2562,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,X1))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(k9_isocat_2(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_273 ),
inference(resolution,[],[f2543,f460]) ).
fof(f8909,plain,
( spl14_765
| ~ spl14_49
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2536,f2473,f447,f8907]) ).
fof(f8907,plain,
( spl14_765
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_765])]) ).
fof(f2536,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2521]) ).
fof(f2521,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_271 ),
inference(resolution,[],[f2474,f448]) ).
fof(f8905,plain,
( spl14_764
| ~ spl14_50
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2535,f2473,f451,f8903]) ).
fof(f8903,plain,
( spl14_764
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k17_cat_2(X1,X2),sK8(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k17_cat_2(X1,X2),sK8(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_764])]) ).
fof(f2535,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k17_cat_2(X1,X2),sK8(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k17_cat_2(X1,X2),sK8(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2522]) ).
fof(f2522,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k17_cat_2(X1,X2),sK8(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k17_cat_2(X1,X2),sK8(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_271 ),
inference(resolution,[],[f2474,f452]) ).
fof(f8901,plain,
( spl14_763
| ~ spl14_51
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2534,f2473,f455,f8899]) ).
fof(f8899,plain,
( spl14_763
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_763])]) ).
fof(f2534,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2523]) ).
fof(f2523,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_271 ),
inference(resolution,[],[f2474,f456]) ).
fof(f8897,plain,
( spl14_762
| ~ spl14_52
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2533,f2473,f459,f8895]) ).
fof(f8895,plain,
( spl14_762
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k9_isocat_2(X1,X2),sK8(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k9_isocat_2(X1,X2),sK8(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_762])]) ).
fof(f2533,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k9_isocat_2(X1,X2),sK8(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k9_isocat_2(X1,X2),sK8(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2524]) ).
fof(f2524,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| k2_isocat_1(X3,k11_cat_2(X1,X2),X0,X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k9_isocat_2(X1,X2),sK8(X2,X0))) = k5_relat_1(X4,k2_isocat_1(k11_cat_2(X1,X2),X2,X0,k9_isocat_2(X1,X2),sK8(X2,X0)))
| ~ m2_cat_1(X4,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_271 ),
inference(resolution,[],[f2474,f460]) ).
fof(f8744,plain,
( spl14_761
| ~ spl14_56
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2539,f2473,f488,f8742]) ).
fof(f8742,plain,
( spl14_761
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k11_isocat_2(X1,X4,X5,X6),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k11_isocat_2(X1,X4,X5,X6),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_761])]) ).
fof(f2539,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k11_isocat_2(X1,X4,X5,X6),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k11_isocat_2(X1,X4,X5,X6),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2518]) ).
fof(f2518,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k11_isocat_2(X1,X4,X5,X6),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k11_isocat_2(X1,X4,X5,X6),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X4,X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_271 ),
inference(resolution,[],[f2474,f489]) ).
fof(f8740,plain,
( spl14_760
| ~ spl14_57
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2538,f2473,f492,f8738]) ).
fof(f8738,plain,
( spl14_760
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k12_isocat_2(X1,X5,X4,X6),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k12_isocat_2(X1,X5,X4,X6),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_760])]) ).
fof(f2538,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k12_isocat_2(X1,X5,X4,X6),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k12_isocat_2(X1,X5,X4,X6),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2519]) ).
fof(f2519,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,k12_isocat_2(X1,X5,X4,X6),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,k12_isocat_2(X1,X5,X4,X6),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X1,k11_cat_2(X5,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_271 ),
inference(resolution,[],[f2474,f493]) ).
fof(f8736,plain,
( spl14_759
| ~ spl14_649
| ~ spl14_67
| ~ spl14_650 ),
inference(avatar_split_clause,[],[f7742,f7304,f599,f7300,f8733]) ).
fof(f8733,plain,
( spl14_759
<=> k17_cat_2(k11_cat_2(sK2,sK2),sK1) = k9_isocat_2(k11_cat_2(sK2,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_759])]) ).
fof(f599,plain,
( spl14_67
<=> ! [X0] :
( k17_cat_2(X0,sK1) = k9_isocat_2(X0,sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
fof(f7742,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK2))
| k17_cat_2(k11_cat_2(sK2,sK2),sK1) = k9_isocat_2(k11_cat_2(sK2,sK2),sK1)
| ~ spl14_67
| ~ spl14_650 ),
inference(resolution,[],[f7305,f600]) ).
fof(f600,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,sK1) = k9_isocat_2(X0,sK1) )
| ~ spl14_67 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f8731,plain,
( spl14_758
| ~ spl14_56
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2504,f2469,f488,f8729]) ).
fof(f8729,plain,
( spl14_758
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k11_isocat_2(X3,X1,X5,X6)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k11_isocat_2(X3,X1,X5,X6)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X1,X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_758])]) ).
fof(f2504,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k11_isocat_2(X3,X1,X5,X6)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k11_isocat_2(X3,X1,X5,X6)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X1,X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2483]) ).
fof(f2483,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k11_isocat_2(X3,X1,X5,X6)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k11_isocat_2(X3,X1,X5,X6)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X1,X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_270 ),
inference(resolution,[],[f2470,f489]) ).
fof(f8727,plain,
( spl14_757
| ~ spl14_57
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2503,f2469,f492,f8725]) ).
fof(f8725,plain,
( spl14_757
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k12_isocat_2(X3,X5,X1,X6)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k12_isocat_2(X3,X5,X1,X6)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,X1))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_757])]) ).
fof(f2503,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k12_isocat_2(X3,X5,X1,X6)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k12_isocat_2(X3,X5,X1,X6)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,X1))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2484]) ).
fof(f2484,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,k12_isocat_2(X3,X5,X1,X6)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,k12_isocat_2(X3,X5,X1,X6)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_270 ),
inference(resolution,[],[f2470,f493]) ).
fof(f8723,plain,
( spl14_756
| ~ spl14_49
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2501,f2469,f447,f8721]) ).
fof(f8721,plain,
( spl14_756
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k16_cat_2(X1,X3)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k16_cat_2(X1,X3)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_756])]) ).
fof(f2501,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k16_cat_2(X1,X3)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k16_cat_2(X1,X3)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2486]) ).
fof(f2486,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k16_cat_2(X1,X3)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k16_cat_2(X1,X3)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_270 ),
inference(resolution,[],[f2470,f448]) ).
fof(f8719,plain,
( spl14_755
| ~ spl14_50
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2500,f2469,f451,f8717]) ).
fof(f8717,plain,
( spl14_755
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k17_cat_2(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k17_cat_2(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_755])]) ).
fof(f2500,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k17_cat_2(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k17_cat_2(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2487]) ).
fof(f2487,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k17_cat_2(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k17_cat_2(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_270 ),
inference(resolution,[],[f2470,f452]) ).
fof(f8715,plain,
( spl14_754
| ~ spl14_51
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2499,f2469,f455,f8713]) ).
fof(f8713,plain,
( spl14_754
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k8_isocat_2(X1,X3)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k8_isocat_2(X1,X3)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_754])]) ).
fof(f2499,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k8_isocat_2(X1,X3)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k8_isocat_2(X1,X3)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2488]) ).
fof(f2488,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k8_isocat_2(X1,X3)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X1,X3),X1,X4,k8_isocat_2(X1,X3)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X1,X3))
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_270 ),
inference(resolution,[],[f2470,f456]) ).
fof(f8711,plain,
( spl14_753
| ~ spl14_52
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2498,f2469,f459,f8709]) ).
fof(f8709,plain,
( spl14_753
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k9_isocat_2(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k9_isocat_2(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_753])]) ).
fof(f2498,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k9_isocat_2(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k9_isocat_2(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2489]) ).
fof(f2489,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k9_isocat_2(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X3,X1),X1,X4,k9_isocat_2(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,X1))
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_270 ),
inference(resolution,[],[f2470,f460]) ).
fof(f8678,plain,
( spl14_752
| ~ spl14_649
| ~ spl14_66
| ~ spl14_650 ),
inference(avatar_split_clause,[],[f7741,f7304,f590,f7300,f8675]) ).
fof(f8675,plain,
( spl14_752
<=> k17_cat_2(k11_cat_2(sK2,sK2),sK0) = k9_isocat_2(k11_cat_2(sK2,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_752])]) ).
fof(f590,plain,
( spl14_66
<=> ! [X0] :
( k17_cat_2(X0,sK0) = k9_isocat_2(X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
fof(f7741,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK2))
| k17_cat_2(k11_cat_2(sK2,sK2),sK0) = k9_isocat_2(k11_cat_2(sK2,sK2),sK0)
| ~ spl14_66
| ~ spl14_650 ),
inference(resolution,[],[f7305,f591]) ).
fof(f591,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,sK0) = k9_isocat_2(X0,sK0) )
| ~ spl14_66 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f8633,plain,
( spl14_751
| ~ spl14_45
| ~ spl14_306 ),
inference(avatar_split_clause,[],[f2874,f2754,f421,f8631]) ).
fof(f8631,plain,
( spl14_751
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_751])]) ).
fof(f2754,plain,
( spl14_306
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_306])]) ).
fof(f2874,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_306 ),
inference(duplicate_literal_removal,[],[f2873]) ).
fof(f2873,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_45
| ~ spl14_306 ),
inference(resolution,[],[f2755,f422]) ).
fof(f2755,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_306 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f8629,plain,
( spl14_750
| ~ spl14_45
| ~ spl14_305 ),
inference(avatar_split_clause,[],[f2872,f2750,f421,f8627]) ).
fof(f8627,plain,
( spl14_750
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k17_cat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_750])]) ).
fof(f2750,plain,
( spl14_305
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_305])]) ).
fof(f2872,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k17_cat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_305 ),
inference(duplicate_literal_removal,[],[f2871]) ).
fof(f2871,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k17_cat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_305 ),
inference(resolution,[],[f2751,f422]) ).
fof(f2751,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_305 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f8625,plain,
( spl14_749
| ~ spl14_45
| ~ spl14_304 ),
inference(avatar_split_clause,[],[f2870,f2746,f421,f8623]) ).
fof(f8623,plain,
( spl14_749
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_749])]) ).
fof(f2746,plain,
( spl14_304
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_304])]) ).
fof(f2870,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_304 ),
inference(duplicate_literal_removal,[],[f2869]) ).
fof(f2869,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_45
| ~ spl14_304 ),
inference(resolution,[],[f2747,f422]) ).
fof(f2747,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_304 ),
inference(avatar_component_clause,[],[f2746]) ).
fof(f8621,plain,
( spl14_748
| ~ spl14_45
| ~ spl14_302 ),
inference(avatar_split_clause,[],[f2868,f2737,f421,f8619]) ).
fof(f8619,plain,
( spl14_748
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k9_isocat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_748])]) ).
fof(f2737,plain,
( spl14_302
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_302])]) ).
fof(f2868,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k9_isocat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_302 ),
inference(duplicate_literal_removal,[],[f2867]) ).
fof(f2867,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k9_isocat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X0,X1)),k16_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_302 ),
inference(resolution,[],[f2738,f422]) ).
fof(f2738,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_302 ),
inference(avatar_component_clause,[],[f2737]) ).
fof(f8616,plain,
( spl14_747
| ~ spl14_45
| ~ spl14_299 ),
inference(avatar_split_clause,[],[f2842,f2725,f421,f8614]) ).
fof(f8614,plain,
( spl14_747
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)) = k5_relat_1(k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_747])]) ).
fof(f2725,plain,
( spl14_299
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_299])]) ).
fof(f2842,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)) = k5_relat_1(k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_299 ),
inference(duplicate_literal_removal,[],[f2841]) ).
fof(f2841,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)) = k5_relat_1(k16_cat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_299 ),
inference(resolution,[],[f2726,f422]) ).
fof(f2726,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_299 ),
inference(avatar_component_clause,[],[f2725]) ).
fof(f8612,plain,
( spl14_746
| ~ spl14_45
| ~ spl14_298 ),
inference(avatar_split_clause,[],[f2835,f2721,f421,f8610]) ).
fof(f8610,plain,
( spl14_746
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_746])]) ).
fof(f2721,plain,
( spl14_298
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_298])]) ).
fof(f2835,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_298 ),
inference(duplicate_literal_removal,[],[f2834]) ).
fof(f2834,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_298 ),
inference(resolution,[],[f2722,f422]) ).
fof(f2722,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_298 ),
inference(avatar_component_clause,[],[f2721]) ).
fof(f8608,plain,
( spl14_745
| ~ spl14_45
| ~ spl14_297 ),
inference(avatar_split_clause,[],[f2833,f2717,f421,f8606]) ).
fof(f8606,plain,
( spl14_745
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_745])]) ).
fof(f2717,plain,
( spl14_297
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_297])]) ).
fof(f2833,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_297 ),
inference(duplicate_literal_removal,[],[f2832]) ).
fof(f2832,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0)) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,X0),X2),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_297 ),
inference(resolution,[],[f2718,f422]) ).
fof(f2718,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_297 ),
inference(avatar_component_clause,[],[f2717]) ).
fof(f8604,plain,
( spl14_744
| ~ spl14_45
| ~ spl14_296 ),
inference(avatar_split_clause,[],[f2831,f2713,f421,f8602]) ).
fof(f8602,plain,
( spl14_744
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_744])]) ).
fof(f2713,plain,
( spl14_296
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_296])]) ).
fof(f2831,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_296 ),
inference(duplicate_literal_removal,[],[f2830]) ).
fof(f2830,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X1,X0)),k17_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_296 ),
inference(resolution,[],[f2714,f422]) ).
fof(f2714,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_296 ),
inference(avatar_component_clause,[],[f2713]) ).
fof(f8600,plain,
( spl14_743
| ~ spl14_45
| ~ spl14_293 ),
inference(avatar_split_clause,[],[f2805,f2701,f421,f8598]) ).
fof(f8598,plain,
( spl14_743
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_743])]) ).
fof(f2701,plain,
( spl14_293
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_293])]) ).
fof(f2805,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_293 ),
inference(duplicate_literal_removal,[],[f2804]) ).
fof(f2804,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_45
| ~ spl14_293 ),
inference(resolution,[],[f2702,f422]) ).
fof(f2702,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_293 ),
inference(avatar_component_clause,[],[f2701]) ).
fof(f8596,plain,
( spl14_742
| ~ spl14_45
| ~ spl14_292 ),
inference(avatar_split_clause,[],[f2803,f2696,f421,f8594]) ).
fof(f8594,plain,
( spl14_742
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k17_cat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_742])]) ).
fof(f2696,plain,
( spl14_292
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_292])]) ).
fof(f2803,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k17_cat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_292 ),
inference(duplicate_literal_removal,[],[f2802]) ).
fof(f2802,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k17_cat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_292 ),
inference(resolution,[],[f2697,f422]) ).
fof(f2697,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_292 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f8592,plain,
( spl14_741
| ~ spl14_45
| ~ spl14_291 ),
inference(avatar_split_clause,[],[f2801,f2692,f421,f8590]) ).
fof(f8590,plain,
( spl14_741
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_741])]) ).
fof(f2692,plain,
( spl14_291
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_291])]) ).
fof(f2801,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_291 ),
inference(duplicate_literal_removal,[],[f2800]) ).
fof(f2800,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_45
| ~ spl14_291 ),
inference(resolution,[],[f2693,f422]) ).
fof(f2693,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_291 ),
inference(avatar_component_clause,[],[f2692]) ).
fof(f8588,plain,
( spl14_740
| ~ spl14_45
| ~ spl14_290 ),
inference(avatar_split_clause,[],[f2799,f2688,f421,f8586]) ).
fof(f8586,plain,
( spl14_740
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k9_isocat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_740])]) ).
fof(f2688,plain,
( spl14_290
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_290])]) ).
fof(f2799,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k9_isocat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_290 ),
inference(duplicate_literal_removal,[],[f2798]) ).
fof(f2798,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X0,X1)),k11_cat_2(X0,X1),X0,k9_isocat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X0,X1)),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_290 ),
inference(resolution,[],[f2689,f422]) ).
fof(f2689,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_290 ),
inference(avatar_component_clause,[],[f2688]) ).
fof(f8584,plain,
( spl14_739
| ~ spl14_45
| ~ spl14_287 ),
inference(avatar_split_clause,[],[f2772,f2676,f421,f8582]) ).
fof(f8582,plain,
( spl14_739
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)) = k5_relat_1(k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_739])]) ).
fof(f2676,plain,
( spl14_287
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_287])]) ).
fof(f2772,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)) = k5_relat_1(k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_287 ),
inference(duplicate_literal_removal,[],[f2771]) ).
fof(f2771,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)) = k5_relat_1(k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_287 ),
inference(resolution,[],[f2677,f422]) ).
fof(f2677,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_287 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f8580,plain,
( spl14_738
| ~ spl14_45
| ~ spl14_286 ),
inference(avatar_split_clause,[],[f2770,f2672,f421,f8578]) ).
fof(f8578,plain,
( spl14_738
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_738])]) ).
fof(f2672,plain,
( spl14_286
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_286])]) ).
fof(f2770,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_286 ),
inference(duplicate_literal_removal,[],[f2769]) ).
fof(f2769,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0)) = k5_relat_1(k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_286 ),
inference(resolution,[],[f2673,f422]) ).
fof(f2673,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_286 ),
inference(avatar_component_clause,[],[f2672]) ).
fof(f8576,plain,
( spl14_737
| ~ spl14_649
| ~ spl14_65
| ~ spl14_650 ),
inference(avatar_split_clause,[],[f7740,f7304,f581,f7300,f8573]) ).
fof(f8573,plain,
( spl14_737
<=> k16_cat_2(k11_cat_2(sK2,sK2),sK2) = k8_isocat_2(k11_cat_2(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_737])]) ).
fof(f581,plain,
( spl14_65
<=> ! [X0] :
( k16_cat_2(X0,sK2) = k8_isocat_2(X0,sK2)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
fof(f7740,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK2))
| k16_cat_2(k11_cat_2(sK2,sK2),sK2) = k8_isocat_2(k11_cat_2(sK2,sK2),sK2)
| ~ spl14_65
| ~ spl14_650 ),
inference(resolution,[],[f7305,f582]) ).
fof(f582,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,sK2) = k8_isocat_2(X0,sK2) )
| ~ spl14_65 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f8571,plain,
( spl14_736
| ~ spl14_45
| ~ spl14_285 ),
inference(avatar_split_clause,[],[f2768,f2668,f421,f8569]) ).
fof(f8569,plain,
( spl14_736
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_736])]) ).
fof(f2668,plain,
( spl14_285
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_285])]) ).
fof(f2768,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_285 ),
inference(duplicate_literal_removal,[],[f2767]) ).
fof(f2767,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0)) = k5_relat_1(k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_285 ),
inference(resolution,[],[f2669,f422]) ).
fof(f2669,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_285 ),
inference(avatar_component_clause,[],[f2668]) ).
fof(f8567,plain,
( spl14_735
| ~ spl14_45
| ~ spl14_284 ),
inference(avatar_split_clause,[],[f2766,f2664,f421,f8565]) ).
fof(f8565,plain,
( spl14_735
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_735])]) ).
fof(f2664,plain,
( spl14_284
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_284])]) ).
fof(f2766,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_284 ),
inference(duplicate_literal_removal,[],[f2765]) ).
fof(f2765,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0)) = k5_relat_1(k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_284 ),
inference(resolution,[],[f2665,f422]) ).
fof(f2665,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_284 ),
inference(avatar_component_clause,[],[f2664]) ).
fof(f8563,plain,
( spl14_734
| ~ spl14_46
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2608,f2546,f425,f8561]) ).
fof(f8561,plain,
( spl14_734
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,sK8(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(sK8(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_734])]) ).
fof(f2608,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,sK8(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(sK8(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3)) )
| ~ spl14_46
| ~ spl14_274 ),
inference(duplicate_literal_removal,[],[f2585]) ).
fof(f2585,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,sK8(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3)))) = k5_relat_1(sK8(X2,X1),k11_isocat_2(X1,X0,X3,sK8(X1,k11_cat_2(X0,X3))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X0,X3))
| ~ v2_cat_1(k11_cat_2(X0,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_274 ),
inference(resolution,[],[f2547,f426]) ).
fof(f8559,plain,
( spl14_733
| ~ spl14_46
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2578,f2542,f425,f8557]) ).
fof(f8557,plain,
( spl14_733
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,sK8(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(sK8(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_733])]) ).
fof(f2578,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,sK8(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(sK8(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0)) )
| ~ spl14_46
| ~ spl14_273 ),
inference(duplicate_literal_removal,[],[f2555]) ).
fof(f2555,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,sK8(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0)))) = k5_relat_1(sK8(X2,X1),k12_isocat_2(X1,X3,X0,sK8(X1,k11_cat_2(X3,X0))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X0))
| ~ v2_cat_1(k11_cat_2(X3,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_273 ),
inference(resolution,[],[f2543,f426]) ).
fof(f8555,plain,
( spl14_732
| ~ spl14_46
| ~ spl14_265 ),
inference(avatar_split_clause,[],[f2453,f2404,f425,f8553]) ).
fof(f8553,plain,
( spl14_732
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,sK8(X2,k11_cat_2(X1,X3))),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,sK8(X2,k11_cat_2(X1,X3))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_732])]) ).
fof(f2453,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,sK8(X2,k11_cat_2(X1,X3))),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,sK8(X2,k11_cat_2(X1,X3))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3)) )
| ~ spl14_46
| ~ spl14_265 ),
inference(duplicate_literal_removal,[],[f2442]) ).
fof(f2442,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k11_isocat_2(X2,X1,X3,sK8(X2,k11_cat_2(X1,X3))),sK8(X1,X0)) = k5_relat_1(k11_isocat_2(X2,X1,X3,sK8(X2,k11_cat_2(X1,X3))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X3))
| ~ v2_cat_1(k11_cat_2(X1,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_265 ),
inference(resolution,[],[f2405,f426]) ).
fof(f8551,plain,
( spl14_731
| ~ spl14_46
| ~ spl14_264 ),
inference(avatar_split_clause,[],[f2437,f2400,f425,f8549]) ).
fof(f8549,plain,
( spl14_731
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,sK8(X2,k11_cat_2(X3,X1))),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,sK8(X2,k11_cat_2(X3,X1))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_731])]) ).
fof(f2437,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,sK8(X2,k11_cat_2(X3,X1))),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,sK8(X2,k11_cat_2(X3,X1))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1)) )
| ~ spl14_46
| ~ spl14_264 ),
inference(duplicate_literal_removal,[],[f2426]) ).
fof(f2426,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k12_isocat_2(X2,X3,X1,sK8(X2,k11_cat_2(X3,X1))),sK8(X1,X0)) = k5_relat_1(k12_isocat_2(X2,X3,X1,sK8(X2,k11_cat_2(X3,X1))),sK8(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X1))
| ~ v2_cat_1(k11_cat_2(X3,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_264 ),
inference(resolution,[],[f2401,f426]) ).
fof(f8450,plain,
( spl14_730
| ~ spl14_44
| ~ spl14_282 ),
inference(avatar_split_clause,[],[f2662,f2639,f417,f8448]) ).
fof(f8448,plain,
( spl14_730
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k9_isocat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_730])]) ).
fof(f417,plain,
( spl14_44
<=> ! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
fof(f2639,plain,
( spl14_282
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k9_isocat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_282])]) ).
fof(f2662,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k9_isocat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_282 ),
inference(duplicate_literal_removal,[],[f2661]) ).
fof(f2661,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k9_isocat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_282 ),
inference(resolution,[],[f2640,f418]) ).
fof(f418,plain,
( ! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f2640,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k9_isocat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_282 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f8446,plain,
( spl14_729
| ~ spl14_44
| ~ spl14_281 ),
inference(avatar_split_clause,[],[f2655,f2635,f417,f8444]) ).
fof(f8444,plain,
( spl14_729
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k8_isocat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_729])]) ).
fof(f2635,plain,
( spl14_281
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k8_isocat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_281])]) ).
fof(f2655,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k8_isocat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_281 ),
inference(duplicate_literal_removal,[],[f2654]) ).
fof(f2654,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k8_isocat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_281 ),
inference(resolution,[],[f2636,f418]) ).
fof(f2636,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k8_isocat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_281 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f8442,plain,
( spl14_728
| ~ spl14_44
| ~ spl14_280 ),
inference(avatar_split_clause,[],[f2653,f2631,f417,f8440]) ).
fof(f8440,plain,
( spl14_728
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k17_cat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_728])]) ).
fof(f2631,plain,
( spl14_280
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k17_cat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_280])]) ).
fof(f2653,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k17_cat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_280 ),
inference(duplicate_literal_removal,[],[f2652]) ).
fof(f2652,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k17_cat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_280 ),
inference(resolution,[],[f2632,f418]) ).
fof(f2632,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k17_cat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_280 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f8438,plain,
( spl14_727
| ~ spl14_44
| ~ spl14_279 ),
inference(avatar_split_clause,[],[f2651,f2626,f417,f8436]) ).
fof(f8436,plain,
( spl14_727
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k16_cat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_727])]) ).
fof(f2626,plain,
( spl14_279
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k16_cat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_279])]) ).
fof(f2651,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k16_cat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_279 ),
inference(duplicate_literal_removal,[],[f2650]) ).
fof(f2650,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k16_cat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_279 ),
inference(resolution,[],[f2627,f418]) ).
fof(f2627,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k16_cat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_279 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f8434,plain,
( spl14_726
| ~ spl14_44
| ~ spl14_278 ),
inference(avatar_split_clause,[],[f2649,f2622,f417,f8432]) ).
fof(f8432,plain,
( spl14_726
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_726])]) ).
fof(f2622,plain,
( spl14_278
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_278])]) ).
fof(f2649,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_278 ),
inference(duplicate_literal_removal,[],[f2648]) ).
fof(f2648,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_278 ),
inference(resolution,[],[f2623,f418]) ).
fof(f2623,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_278 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f8430,plain,
( spl14_725
| ~ spl14_44
| ~ spl14_277 ),
inference(avatar_split_clause,[],[f2647,f2618,f417,f8428]) ).
fof(f8428,plain,
( spl14_725
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_725])]) ).
fof(f2618,plain,
( spl14_277
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_277])]) ).
fof(f2647,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_277 ),
inference(duplicate_literal_removal,[],[f2646]) ).
fof(f2646,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_277 ),
inference(resolution,[],[f2619,f418]) ).
fof(f2619,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_277 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f8426,plain,
( spl14_724
| ~ spl14_649
| ~ spl14_64
| ~ spl14_650 ),
inference(avatar_split_clause,[],[f7739,f7304,f572,f7300,f8423]) ).
fof(f8423,plain,
( spl14_724
<=> k16_cat_2(k11_cat_2(sK2,sK2),sK1) = k8_isocat_2(k11_cat_2(sK2,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_724])]) ).
fof(f572,plain,
( spl14_64
<=> ! [X0] :
( k16_cat_2(X0,sK1) = k8_isocat_2(X0,sK1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
fof(f7739,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK2))
| k16_cat_2(k11_cat_2(sK2,sK2),sK1) = k8_isocat_2(k11_cat_2(sK2,sK2),sK1)
| ~ spl14_64
| ~ spl14_650 ),
inference(resolution,[],[f7305,f573]) ).
fof(f573,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,sK1) = k8_isocat_2(X0,sK1) )
| ~ spl14_64 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f8421,plain,
( spl14_723
| ~ spl14_44
| ~ spl14_276 ),
inference(avatar_split_clause,[],[f2645,f2614,f417,f8419]) ).
fof(f8419,plain,
( spl14_723
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_723])]) ).
fof(f2614,plain,
( spl14_276
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_276])]) ).
fof(f2645,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_276 ),
inference(duplicate_literal_removal,[],[f2644]) ).
fof(f2644,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_44
| ~ spl14_276 ),
inference(resolution,[],[f2615,f418]) ).
fof(f2615,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_276 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f8417,plain,
( spl14_722
| ~ spl14_44
| ~ spl14_275 ),
inference(avatar_split_clause,[],[f2643,f2610,f417,f8415]) ).
fof(f8415,plain,
( spl14_722
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_722])]) ).
fof(f2610,plain,
( spl14_275
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_275])]) ).
fof(f2643,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_275 ),
inference(duplicate_literal_removal,[],[f2642]) ).
fof(f2642,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_44
| ~ spl14_275 ),
inference(resolution,[],[f2611,f418]) ).
fof(f2611,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_275 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f8353,plain,
( spl14_721
| ~ spl14_46
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2540,f2473,f425,f8351]) ).
fof(f8351,plain,
( spl14_721
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,sK8(X1,X4),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,sK8(X1,X4),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_721])]) ).
fof(f2540,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,sK8(X1,X4),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,sK8(X1,X4),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_271 ),
inference(duplicate_literal_removal,[],[f2517]) ).
fof(f2517,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,X3,k2_isocat_1(X1,X4,X0,sK8(X1,X4),sK8(X4,X0))) = k5_relat_1(X3,k2_isocat_1(X1,X4,X0,sK8(X1,X4),sK8(X4,X0)))
| ~ m2_cat_1(X3,X2,X1)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_271 ),
inference(resolution,[],[f2474,f426]) ).
fof(f8349,plain,
( spl14_720
| ~ spl14_46
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2505,f2469,f425,f8347]) ).
fof(f8347,plain,
( spl14_720
<=> ! [X4,X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,sK8(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,sK8(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_720])]) ).
fof(f2505,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,sK8(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,sK8(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_270 ),
inference(duplicate_literal_removal,[],[f2482]) ).
fof(f2482,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,X1,X0,k2_isocat_1(X2,X3,X1,X4,sK8(X3,X1)),sK8(X1,X0)) = k5_relat_1(k2_isocat_1(X2,X3,X1,X4,sK8(X3,X1)),sK8(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_270 ),
inference(resolution,[],[f2470,f426]) ).
fof(f8336,plain,
( spl14_719
| ~ spl14_45
| ~ spl14_256 ),
inference(avatar_split_clause,[],[f2346,f2343,f421,f8334]) ).
fof(f8334,plain,
( spl14_719
<=> ! [X0,X3,X2,X1] :
( k2_isocat_1(X0,X1,k11_cat_2(X2,X3),sK8(X0,X1),sK8(X1,k11_cat_2(X2,X3))) = k5_relat_1(sK8(X0,X1),sK8(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_719])]) ).
fof(f2343,plain,
( spl14_256
<=> ! [X2,X0,X1] :
( k2_isocat_1(X0,X1,X2,sK8(X0,X1),sK8(X1,X2)) = k5_relat_1(sK8(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_256])]) ).
fof(f2346,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,X1,k11_cat_2(X2,X3),sK8(X0,X1),sK8(X1,k11_cat_2(X2,X3))) = k5_relat_1(sK8(X0,X1),sK8(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_256 ),
inference(resolution,[],[f2344,f422]) ).
fof(f2344,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X2)
| k2_isocat_1(X0,X1,X2,sK8(X0,X1),sK8(X1,X2)) = k5_relat_1(sK8(X0,X1),sK8(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_256 ),
inference(avatar_component_clause,[],[f2343]) ).
fof(f8290,plain,
( spl14_718
| ~ spl14_45
| ~ spl14_269 ),
inference(avatar_split_clause,[],[f2467,f2421,f421,f8288]) ).
fof(f8288,plain,
( spl14_718
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X0,X2),X0,sK8(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)) = k5_relat_1(sK8(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_718])]) ).
fof(f2421,plain,
( spl14_269
<=> ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_269])]) ).
fof(f2467,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X0,X2),X0,sK8(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)) = k5_relat_1(sK8(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_269 ),
inference(duplicate_literal_removal,[],[f2465]) ).
fof(f2465,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X0,X2),X0,sK8(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2)) = k5_relat_1(sK8(X1,k11_cat_2(X0,X2)),k16_cat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_269 ),
inference(resolution,[],[f2422,f422]) ).
fof(f2422,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_269 ),
inference(avatar_component_clause,[],[f2421]) ).
fof(f8286,plain,
( spl14_717
| ~ spl14_45
| ~ spl14_268 ),
inference(avatar_split_clause,[],[f2464,f2416,f421,f8284]) ).
fof(f8284,plain,
( spl14_717
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X2,X0),X0,sK8(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)) = k5_relat_1(sK8(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_717])]) ).
fof(f2416,plain,
( spl14_268
<=> ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_268])]) ).
fof(f2464,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X2,X0),X0,sK8(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)) = k5_relat_1(sK8(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_268 ),
inference(duplicate_literal_removal,[],[f2462]) ).
fof(f2462,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X2,X0),X0,sK8(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0)) = k5_relat_1(sK8(X1,k11_cat_2(X2,X0)),k17_cat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_268 ),
inference(resolution,[],[f2417,f422]) ).
fof(f2417,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_268 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f8282,plain,
( spl14_716
| ~ spl14_45
| ~ spl14_267 ),
inference(avatar_split_clause,[],[f2461,f2412,f421,f8280]) ).
fof(f8280,plain,
( spl14_716
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X0,X2),X0,sK8(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)) = k5_relat_1(sK8(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_716])]) ).
fof(f2412,plain,
( spl14_267
<=> ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_267])]) ).
fof(f2461,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X0,X2),X0,sK8(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)) = k5_relat_1(sK8(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_267 ),
inference(duplicate_literal_removal,[],[f2459]) ).
fof(f2459,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X0,X2),X0,sK8(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2)) = k5_relat_1(sK8(X1,k11_cat_2(X0,X2)),k8_isocat_2(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_267 ),
inference(resolution,[],[f2413,f422]) ).
fof(f2413,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_267 ),
inference(avatar_component_clause,[],[f2412]) ).
fof(f8278,plain,
( spl14_715
| ~ spl14_45
| ~ spl14_266 ),
inference(avatar_split_clause,[],[f2458,f2408,f421,f8276]) ).
fof(f8276,plain,
( spl14_715
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X2,X0),X0,sK8(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)) = k5_relat_1(sK8(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_715])]) ).
fof(f2408,plain,
( spl14_266
<=> ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_266])]) ).
fof(f2458,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X2,X0),X0,sK8(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)) = k5_relat_1(sK8(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_266 ),
inference(duplicate_literal_removal,[],[f2456]) ).
fof(f2456,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X1,k11_cat_2(X2,X0),X0,sK8(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0)) = k5_relat_1(sK8(X1,k11_cat_2(X2,X0)),k9_isocat_2(X2,X0))
| ~ v2_cat_1(k11_cat_2(X2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_266 ),
inference(resolution,[],[f2409,f422]) ).
fof(f2409,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_266 ),
inference(avatar_component_clause,[],[f2408]) ).
fof(f8238,plain,
( ~ spl14_649
| ~ spl14_5
| ~ spl14_6
| spl14_714
| ~ spl14_144
| ~ spl14_650
| ~ spl14_688 ),
inference(avatar_split_clause,[],[f7957,f7922,f7304,f1326,f8235,f219,f214,f7300]) ).
fof(f8235,plain,
( spl14_714
<=> v1_relat_1(k17_cat_2(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_714])]) ).
fof(f1326,plain,
( spl14_144
<=> k17_cat_2(sK2,sK2) = k9_isocat_2(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_144])]) ).
fof(f7922,plain,
( spl14_688
<=> ! [X0,X1] :
( v1_relat_1(k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_688])]) ).
fof(f7957,plain,
( v1_relat_1(k17_cat_2(sK2,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(k11_cat_2(sK2,sK2))
| ~ spl14_144
| ~ spl14_650
| ~ spl14_688 ),
inference(forward_demodulation,[],[f7951,f1328]) ).
fof(f1328,plain,
( k17_cat_2(sK2,sK2) = k9_isocat_2(sK2,sK2)
| ~ spl14_144 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f7951,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| v1_relat_1(k9_isocat_2(sK2,sK2))
| ~ v2_cat_1(k11_cat_2(sK2,sK2))
| ~ spl14_650
| ~ spl14_688 ),
inference(duplicate_literal_removal,[],[f7950]) ).
fof(f7950,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| v1_relat_1(k9_isocat_2(sK2,sK2))
| ~ v2_cat_1(k11_cat_2(sK2,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_650
| ~ spl14_688 ),
inference(resolution,[],[f7923,f7305]) ).
fof(f7923,plain,
( ! [X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_relat_1(k9_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_688 ),
inference(avatar_component_clause,[],[f7922]) ).
fof(f8209,plain,
( spl14_713
| ~ spl14_44
| ~ spl14_262 ),
inference(avatar_split_clause,[],[f2398,f2373,f417,f8207]) ).
fof(f8207,plain,
( spl14_713
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,sK8(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_713])]) ).
fof(f2373,plain,
( spl14_262
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,sK8(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_262])]) ).
fof(f2398,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,sK8(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0) )
| ~ spl14_44
| ~ spl14_262 ),
inference(duplicate_literal_removal,[],[f2396]) ).
fof(f2396,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,sK8(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_44
| ~ spl14_262 ),
inference(resolution,[],[f2374,f418]) ).
fof(f2374,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,sK8(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0) )
| ~ spl14_262 ),
inference(avatar_component_clause,[],[f2373]) ).
fof(f8205,plain,
( spl14_712
| ~ spl14_44
| ~ spl14_261 ),
inference(avatar_split_clause,[],[f2395,f2369,f417,f8203]) ).
fof(f8203,plain,
( spl14_712
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,sK8(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_712])]) ).
fof(f2369,plain,
( spl14_261
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,sK8(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_261])]) ).
fof(f2395,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,sK8(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0) )
| ~ spl14_44
| ~ spl14_261 ),
inference(duplicate_literal_removal,[],[f2393]) ).
fof(f2393,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,sK8(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_44
| ~ spl14_261 ),
inference(resolution,[],[f2370,f418]) ).
fof(f2370,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,sK8(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0) )
| ~ spl14_261 ),
inference(avatar_component_clause,[],[f2369]) ).
fof(f8201,plain,
( spl14_711
| ~ spl14_45
| ~ spl14_260 ),
inference(avatar_split_clause,[],[f2392,f2365,f421,f8199]) ).
fof(f8199,plain,
( spl14_711
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0)) = k5_relat_1(k16_cat_2(X1,X2),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_711])]) ).
fof(f2365,plain,
( spl14_260
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k16_cat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k16_cat_2(X0,X1),sK8(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_260])]) ).
fof(f2392,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0)) = k5_relat_1(k16_cat_2(X1,X2),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_260 ),
inference(duplicate_literal_removal,[],[f2390]) ).
fof(f2390,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k16_cat_2(X1,X2),sK8(X1,X0)) = k5_relat_1(k16_cat_2(X1,X2),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_45
| ~ spl14_260 ),
inference(resolution,[],[f2366,f422]) ).
fof(f2366,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k16_cat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k16_cat_2(X0,X1),sK8(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_260 ),
inference(avatar_component_clause,[],[f2365]) ).
fof(f8197,plain,
( spl14_710
| ~ spl14_45
| ~ spl14_259 ),
inference(avatar_split_clause,[],[f2389,f2361,f421,f8195]) ).
fof(f8195,plain,
( spl14_710
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),sK8(X1,X0)) = k5_relat_1(k17_cat_2(X2,X1),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_710])]) ).
fof(f2361,plain,
( spl14_259
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k17_cat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k17_cat_2(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_259])]) ).
fof(f2389,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),sK8(X1,X0)) = k5_relat_1(k17_cat_2(X2,X1),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_259 ),
inference(duplicate_literal_removal,[],[f2387]) ).
fof(f2387,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k17_cat_2(X2,X1),sK8(X1,X0)) = k5_relat_1(k17_cat_2(X2,X1),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_259 ),
inference(resolution,[],[f2362,f422]) ).
fof(f2362,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k17_cat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k17_cat_2(X0,X1),sK8(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_259 ),
inference(avatar_component_clause,[],[f2361]) ).
fof(f8193,plain,
( spl14_709
| ~ spl14_45
| ~ spl14_258 ),
inference(avatar_split_clause,[],[f2386,f2357,f421,f8191]) ).
fof(f8191,plain,
( spl14_709
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0)) = k5_relat_1(k8_isocat_2(X1,X2),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_709])]) ).
fof(f2357,plain,
( spl14_258
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k8_isocat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k8_isocat_2(X0,X1),sK8(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_258])]) ).
fof(f2386,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0)) = k5_relat_1(k8_isocat_2(X1,X2),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_258 ),
inference(duplicate_literal_removal,[],[f2384]) ).
fof(f2384,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X1,X2),X1,X0,k8_isocat_2(X1,X2),sK8(X1,X0)) = k5_relat_1(k8_isocat_2(X1,X2),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_45
| ~ spl14_258 ),
inference(resolution,[],[f2358,f422]) ).
fof(f2358,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k8_isocat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k8_isocat_2(X0,X1),sK8(X0,X2))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_258 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f8189,plain,
( spl14_708
| ~ spl14_45
| ~ spl14_257 ),
inference(avatar_split_clause,[],[f2378,f2353,f421,f8187]) ).
fof(f8187,plain,
( spl14_708
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),sK8(X1,X0)) = k5_relat_1(k9_isocat_2(X2,X1),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_708])]) ).
fof(f2353,plain,
( spl14_257
<=> ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k9_isocat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k9_isocat_2(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_257])]) ).
fof(f2378,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),sK8(X1,X0)) = k5_relat_1(k9_isocat_2(X2,X1),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_257 ),
inference(duplicate_literal_removal,[],[f2376]) ).
fof(f2376,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X2,X1),X1,X0,k9_isocat_2(X2,X1),sK8(X1,X0)) = k5_relat_1(k9_isocat_2(X2,X1),sK8(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_257 ),
inference(resolution,[],[f2354,f422]) ).
fof(f2354,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k9_isocat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k9_isocat_2(X0,X1),sK8(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_257 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f8129,plain,
( spl14_707
| ~ spl14_45
| ~ spl14_255 ),
inference(avatar_split_clause,[],[f2336,f2326,f421,f8127]) ).
fof(f8127,plain,
( spl14_707
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3))) = k9_isocat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_707])]) ).
fof(f2326,plain,
( spl14_255
<=> ! [X2,X0,X1] :
( k17_cat_2(X0,k11_cat_2(X1,X2)) = k9_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_255])]) ).
fof(f2336,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3))) = k9_isocat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_255 ),
inference(resolution,[],[f2327,f422]) ).
fof(f2327,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,X2)) = k9_isocat_2(X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_255 ),
inference(avatar_component_clause,[],[f2326]) ).
fof(f8125,plain,
( spl14_706
| ~ spl14_45
| ~ spl14_254 ),
inference(avatar_split_clause,[],[f2329,f2322,f421,f8123]) ).
fof(f8123,plain,
( spl14_706
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3))) = k8_isocat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_706])]) ).
fof(f2322,plain,
( spl14_254
<=> ! [X2,X0,X1] :
( k16_cat_2(X0,k11_cat_2(X1,X2)) = k8_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_254])]) ).
fof(f2329,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3))) = k8_isocat_2(X0,k11_cat_2(X1,k11_cat_2(X2,X3)))
| ~ v2_cat_1(k11_cat_2(X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_254 ),
inference(resolution,[],[f2323,f422]) ).
fof(f2323,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,X2)) = k8_isocat_2(X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_254 ),
inference(avatar_component_clause,[],[f2322]) ).
fof(f8121,plain,
( spl14_705
| ~ spl14_58
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2317,f2288,f501,f8119]) ).
fof(f8119,plain,
( spl14_705
<=> ! [X3,X4,X0,X5,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k2_isocat_1(X1,X3,X2,X4,X5))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_705])]) ).
fof(f2288,plain,
( spl14_253
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)))
| ~ m2_cat_1(X1,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_253])]) ).
fof(f2317,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k2_isocat_1(X1,X3,X2,X4,X5))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2300]) ).
fof(f2300,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k2_isocat_1(X1,X3,X2,X4,X5))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,X2)
| ~ m2_cat_1(X4,X1,X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_253 ),
inference(resolution,[],[f2289,f502]) ).
fof(f2289,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X1,X2,X3)
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)))
| ~ r2_hidden(X0,X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_253 ),
inference(avatar_component_clause,[],[f2288]) ).
fof(f8105,plain,
( spl14_704
| ~ spl14_56
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2319,f2288,f488,f8103]) ).
fof(f8103,plain,
( spl14_704
<=> ! [X4,X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k11_isocat_2(X1,X2,X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_704])]) ).
fof(f2319,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k11_isocat_2(X1,X2,X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2298]) ).
fof(f2298,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k11_isocat_2(X1,X2,X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_253 ),
inference(resolution,[],[f2289,f489]) ).
fof(f8101,plain,
( spl14_703
| ~ spl14_57
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2318,f2288,f492,f8099]) ).
fof(f8099,plain,
( spl14_703
<=> ! [X4,X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k12_isocat_2(X1,X3,X2,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_703])]) ).
fof(f2318,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k12_isocat_2(X1,X3,X2,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2299]) ).
fof(f2299,plain,
( ! [X2,X3,X0,X1,X4] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,k12_isocat_2(X1,X3,X2,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_253 ),
inference(resolution,[],[f2289,f493]) ).
fof(f8095,plain,
( ~ spl14_528
| ~ spl14_3
| ~ spl14_4
| spl14_702
| ~ spl14_140
| ~ spl14_529
| ~ spl14_688 ),
inference(avatar_split_clause,[],[f7956,f7922,f5735,f1299,f8092,f209,f204,f5731]) ).
fof(f5731,plain,
( spl14_528
<=> v2_cat_1(k11_cat_2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_528])]) ).
fof(f8092,plain,
( spl14_702
<=> v1_relat_1(k17_cat_2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_702])]) ).
fof(f1299,plain,
( spl14_140
<=> k17_cat_2(sK1,sK1) = k9_isocat_2(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_140])]) ).
fof(f5735,plain,
( spl14_529
<=> l1_cat_1(k11_cat_2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_529])]) ).
fof(f7956,plain,
( v1_relat_1(k17_cat_2(sK1,sK1))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ v2_cat_1(k11_cat_2(sK1,sK1))
| ~ spl14_140
| ~ spl14_529
| ~ spl14_688 ),
inference(forward_demodulation,[],[f7952,f1301]) ).
fof(f1301,plain,
( k17_cat_2(sK1,sK1) = k9_isocat_2(sK1,sK1)
| ~ spl14_140 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f7952,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| v1_relat_1(k9_isocat_2(sK1,sK1))
| ~ v2_cat_1(k11_cat_2(sK1,sK1))
| ~ spl14_529
| ~ spl14_688 ),
inference(duplicate_literal_removal,[],[f7949]) ).
fof(f7949,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| v1_relat_1(k9_isocat_2(sK1,sK1))
| ~ v2_cat_1(k11_cat_2(sK1,sK1))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_529
| ~ spl14_688 ),
inference(resolution,[],[f7923,f5736]) ).
fof(f5736,plain,
( l1_cat_1(k11_cat_2(sK1,sK1))
| ~ spl14_529 ),
inference(avatar_component_clause,[],[f5735]) ).
fof(f8088,plain,
( spl14_701
| ~ spl14_49
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2316,f2288,f447,f8086]) ).
fof(f8086,plain,
( spl14_701
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X1)))
| ~ r2_hidden(X0,k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_701])]) ).
fof(f2316,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X1)))
| ~ r2_hidden(X0,k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2301]) ).
fof(f2301,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X1)))
| ~ r2_hidden(X0,k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_253 ),
inference(resolution,[],[f2289,f448]) ).
fof(f8084,plain,
( spl14_700
| ~ spl14_50
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2315,f2288,f451,f8082]) ).
fof(f8082,plain,
( spl14_700
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X2)))
| ~ r2_hidden(X0,k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_700])]) ).
fof(f2315,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X2)))
| ~ r2_hidden(X0,k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2302]) ).
fof(f2302,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X2)))
| ~ r2_hidden(X0,k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_253 ),
inference(resolution,[],[f2289,f452]) ).
fof(f8080,plain,
( spl14_699
| ~ spl14_51
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2314,f2288,f455,f8078]) ).
fof(f8078,plain,
( spl14_699
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X1)))
| ~ r2_hidden(X0,k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_699])]) ).
fof(f2314,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X1)))
| ~ r2_hidden(X0,k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2303]) ).
fof(f2303,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X1)))
| ~ r2_hidden(X0,k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_253 ),
inference(resolution,[],[f2289,f456]) ).
fof(f8076,plain,
( spl14_698
| ~ spl14_52
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2313,f2288,f459,f8074]) ).
fof(f8074,plain,
( spl14_698
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X2)))
| ~ r2_hidden(X0,k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_698])]) ).
fof(f2313,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X2)))
| ~ r2_hidden(X0,k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2304]) ).
fof(f2304,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(X1,X2)),u2_cat_1(X2)))
| ~ r2_hidden(X0,k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_253 ),
inference(resolution,[],[f2289,f460]) ).
fof(f8038,plain,
( spl14_697
| ~ spl14_58
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2018,f1991,f501,f8036]) ).
fof(f8036,plain,
( spl14_697
<=> ! [X4,X0,X3,X2,X1] :
( v1_relat_1(k2_isocat_1(X0,X1,X2,X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_697])]) ).
fof(f1991,plain,
( spl14_227
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_227])]) ).
fof(f2018,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_relat_1(k2_isocat_1(X0,X1,X2,X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2003]) ).
fof(f2003,plain,
( ! [X2,X3,X0,X1,X4] :
( v1_relat_1(k2_isocat_1(X0,X1,X2,X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_227 ),
inference(resolution,[],[f1992,f502]) ).
fof(f1992,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| v1_relat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_227 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f8000,plain,
( spl14_696
| ~ spl14_100
| ~ spl14_232 ),
inference(avatar_split_clause,[],[f2103,f2099,f824,f7998]) ).
fof(f7998,plain,
( spl14_696
<=> ! [X0,X3,X2,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_696])]) ).
fof(f824,plain,
( spl14_100
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_100])]) ).
fof(f2099,plain,
( spl14_232
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_232])]) ).
fof(f2103,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2,X3)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3)),X0,X1) )
| ~ spl14_100
| ~ spl14_232 ),
inference(resolution,[],[f2100,f825]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) )
| ~ spl14_100 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f2100,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| ~ m2_relset_1(X2,X0,X1)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ spl14_232 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f7996,plain,
( spl14_695
| ~ spl14_56
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2020,f1991,f488,f7994]) ).
fof(f7994,plain,
( spl14_695
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k11_isocat_2(X0,X1,X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_695])]) ).
fof(f2020,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k11_isocat_2(X0,X1,X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2001]) ).
fof(f2001,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k11_isocat_2(X0,X1,X2,X3))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_227 ),
inference(resolution,[],[f1992,f489]) ).
fof(f7992,plain,
( spl14_694
| ~ spl14_57
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2019,f1991,f492,f7990]) ).
fof(f7990,plain,
( spl14_694
<=> ! [X0,X3,X2,X1] :
( v1_relat_1(k12_isocat_2(X0,X1,X2,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_694])]) ).
fof(f2019,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k12_isocat_2(X0,X1,X2,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2002]) ).
fof(f2002,plain,
( ! [X2,X3,X0,X1] :
( v1_relat_1(k12_isocat_2(X0,X1,X2,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_227 ),
inference(resolution,[],[f1992,f493]) ).
fof(f7945,plain,
( spl14_693
| ~ spl14_46
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2320,f2288,f425,f7943]) ).
fof(f7943,plain,
( spl14_693
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_693])]) ).
fof(f2320,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_253 ),
inference(duplicate_literal_removal,[],[f2297]) ).
fof(f2297,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X1),u2_cat_1(X2)))
| ~ r2_hidden(X0,sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_253 ),
inference(resolution,[],[f2289,f426]) ).
fof(f7941,plain,
( spl14_692
| ~ spl14_649
| ~ spl14_53
| ~ spl14_650 ),
inference(avatar_split_clause,[],[f7738,f7304,f463,f7300,f7938]) ).
fof(f7938,plain,
( spl14_692
<=> k16_cat_2(k11_cat_2(sK2,sK2),sK0) = k8_isocat_2(k11_cat_2(sK2,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_692])]) ).
fof(f463,plain,
( spl14_53
<=> ! [X0] :
( k16_cat_2(X0,sK0) = k8_isocat_2(X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
fof(f7738,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK2))
| k16_cat_2(k11_cat_2(sK2,sK2),sK0) = k8_isocat_2(k11_cat_2(sK2,sK2),sK0)
| ~ spl14_53
| ~ spl14_650 ),
inference(resolution,[],[f7305,f464]) ).
fof(f464,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,sK0) = k8_isocat_2(X0,sK0) )
| ~ spl14_53 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f7936,plain,
( spl14_691
| ~ spl14_49
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2017,f1991,f447,f7934]) ).
fof(f7934,plain,
( spl14_691
<=> ! [X0,X1] :
( v1_relat_1(k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_691])]) ).
fof(f2017,plain,
( ! [X0,X1] :
( v1_relat_1(k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2004]) ).
fof(f2004,plain,
( ! [X0,X1] :
( v1_relat_1(k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_49
| ~ spl14_227 ),
inference(resolution,[],[f1992,f448]) ).
fof(f7932,plain,
( spl14_690
| ~ spl14_50
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2016,f1991,f451,f7930]) ).
fof(f7930,plain,
( spl14_690
<=> ! [X0,X1] :
( v1_relat_1(k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_690])]) ).
fof(f2016,plain,
( ! [X0,X1] :
( v1_relat_1(k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2005]) ).
fof(f2005,plain,
( ! [X0,X1] :
( v1_relat_1(k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_227 ),
inference(resolution,[],[f1992,f452]) ).
fof(f7928,plain,
( spl14_689
| ~ spl14_51
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2015,f1991,f455,f7926]) ).
fof(f7926,plain,
( spl14_689
<=> ! [X0,X1] :
( v1_relat_1(k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_689])]) ).
fof(f2015,plain,
( ! [X0,X1] :
( v1_relat_1(k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2006]) ).
fof(f2006,plain,
( ! [X0,X1] :
( v1_relat_1(k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_51
| ~ spl14_227 ),
inference(resolution,[],[f1992,f456]) ).
fof(f7924,plain,
( spl14_688
| ~ spl14_52
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2014,f1991,f459,f7922]) ).
fof(f2014,plain,
( ! [X0,X1] :
( v1_relat_1(k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2007]) ).
fof(f2007,plain,
( ! [X0,X1] :
( v1_relat_1(k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_227 ),
inference(resolution,[],[f1992,f460]) ).
fof(f7906,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_687
| ~ spl14_8
| ~ spl14_134
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3668,f3626,f1259,f229,f7904,f214,f209,f204,f747,f743,f219,f199,f194]) ).
fof(f7904,plain,
( spl14_687
<=> ! [X0,X3,X2,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4)),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_687])]) ).
fof(f3668,plain,
( ! [X2,X3,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4)),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_134
| ~ spl14_351 ),
inference(forward_demodulation,[],[f3650,f1261]) ).
fof(f3650,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4)),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_351 ),
inference(resolution,[],[f3627,f231]) ).
fof(f231,plain,
( m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f7888,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_686
| ~ spl14_7
| ~ spl14_134
| ~ spl14_351 ),
inference(avatar_split_clause,[],[f3667,f3626,f1259,f224,f7886,f214,f209,f204,f747,f743,f219,f199,f194]) ).
fof(f7886,plain,
( spl14_686
<=> ! [X0,X3,X2,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3)),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_686])]) ).
fof(f3667,plain,
( ! [X2,X3,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3)),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_134
| ~ spl14_351 ),
inference(forward_demodulation,[],[f3649,f1261]) ).
fof(f3649,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3)),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_351 ),
inference(resolution,[],[f3627,f226]) ).
fof(f226,plain,
( m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f7870,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_685
| ~ spl14_8
| ~ spl14_143
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3648,f3617,f1318,f229,f7868,f214,f209,f204,f747,f743,f219,f199,f194]) ).
fof(f7868,plain,
( spl14_685
<=> ! [X0,X3,X2,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4)),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_685])]) ).
fof(f3648,plain,
( ! [X2,X3,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4)),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_143
| ~ spl14_349 ),
inference(forward_demodulation,[],[f3630,f1320]) ).
fof(f3630,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK4)),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_349 ),
inference(resolution,[],[f3618,f231]) ).
fof(f7852,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_684
| ~ spl14_7
| ~ spl14_143
| ~ spl14_349 ),
inference(avatar_split_clause,[],[f3647,f3617,f1318,f224,f7850,f214,f209,f204,f747,f743,f219,f199,f194]) ).
fof(f7850,plain,
( spl14_684
<=> ! [X0,X3,X2,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3)),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X3,X1,sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_684])]) ).
fof(f3647,plain,
( ! [X2,X3,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3)),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_143
| ~ spl14_349 ),
inference(forward_demodulation,[],[f3629,f1320]) ).
fof(f3629,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X3,sK3)),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_349 ),
inference(resolution,[],[f3618,f226]) ).
fof(f7836,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| spl14_683
| ~ spl14_200
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3237,f3156,f1705,f7834,f747,f743,f219,f214]) ).
fof(f7834,plain,
( spl14_683
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_683])]) ).
fof(f3237,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k11_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_200
| ~ spl14_324 ),
inference(resolution,[],[f3157,f1706]) ).
fof(f1706,plain,
( m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ spl14_200 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f7820,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| spl14_682
| ~ spl14_200
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3207,f3152,f1705,f7818,f747,f743,f219,f214]) ).
fof(f7818,plain,
( spl14_682
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_682])]) ).
fof(f3207,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,k11_cat_2(X1,X0),k17_cat_2(sK1,sK2),sK8(sK2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_200
| ~ spl14_323 ),
inference(resolution,[],[f3153,f1706]) ).
fof(f7800,plain,
( ~ spl14_86
| ~ spl14_87
| spl14_681
| ~ spl14_5
| ~ spl14_6
| ~ spl14_200
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3177,f3143,f1705,f219,f214,f7798,f747,f743]) ).
fof(f7798,plain,
( spl14_681
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,sK2,X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK2,X5,k17_cat_2(sK1,sK2)))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK2,X5,k17_cat_2(sK1,sK2))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_681])]) ).
fof(f3177,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK2,X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK2,X5,k17_cat_2(sK1,sK2)))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK2,X5,k17_cat_2(sK1,sK2))))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_200
| ~ spl14_321 ),
inference(resolution,[],[f3144,f1706]) ).
fof(f7784,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| spl14_680
| ~ spl14_199
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3222,f3156,f1700,f7782,f199,f194,f219,f214]) ).
fof(f7782,plain,
( spl14_680
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_680])]) ).
fof(f3222,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_199
| ~ spl14_324 ),
inference(resolution,[],[f3157,f1701]) ).
fof(f1701,plain,
( m2_cat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ spl14_199 ),
inference(avatar_component_clause,[],[f1700]) ).
fof(f7726,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| spl14_679
| ~ spl14_202
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3221,f3156,f1717,f7724,f199,f194,f219,f214]) ).
fof(f7724,plain,
( spl14_679
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_679])]) ).
fof(f3221,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_202
| ~ spl14_324 ),
inference(resolution,[],[f3157,f1718]) ).
fof(f1718,plain,
( m2_cat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ spl14_202 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f7713,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| spl14_678
| ~ spl14_199
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3192,f3152,f1700,f7711,f199,f194,f219,f214]) ).
fof(f7711,plain,
( spl14_678
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_678])]) ).
fof(f3192,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_199
| ~ spl14_323 ),
inference(resolution,[],[f3153,f1701]) ).
fof(f7700,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| spl14_677
| ~ spl14_202
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3191,f3152,f1717,f7698,f199,f194,f219,f214]) ).
fof(f7698,plain,
( spl14_677
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_677])]) ).
fof(f3191,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK2,k11_cat_2(X1,X0),k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_202
| ~ spl14_323 ),
inference(resolution,[],[f3153,f1718]) ).
fof(f7682,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_676
| ~ spl14_5
| ~ spl14_6
| ~ spl14_199
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3162,f3143,f1700,f219,f214,f7680,f199,f194]) ).
fof(f7680,plain,
( spl14_676
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,sK2,X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK3,k17_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_676])]) ).
fof(f3162,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK2,X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK3,k17_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_199
| ~ spl14_321 ),
inference(resolution,[],[f3144,f1701]) ).
fof(f7664,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_675
| ~ spl14_5
| ~ spl14_6
| ~ spl14_202
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3161,f3143,f1717,f219,f214,f7662,f199,f194]) ).
fof(f7662,plain,
( spl14_675
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,sK2,X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK4,k17_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_675])]) ).
fof(f3161,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK2,X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK4,k17_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK2,X4,k2_isocat_1(X3,sK0,sK2,X5,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_202
| ~ spl14_321 ),
inference(resolution,[],[f3144,f1718]) ).
fof(f7660,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_45
| spl14_650 ),
inference(avatar_split_clause,[],[f7415,f7304,f421,f219,f214]) ).
fof(f7415,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_45
| spl14_650 ),
inference(duplicate_literal_removal,[],[f7414]) ).
fof(f7414,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_45
| spl14_650 ),
inference(resolution,[],[f7306,f422]) ).
fof(f7306,plain,
( ~ l1_cat_1(k11_cat_2(sK2,sK2))
| spl14_650 ),
inference(avatar_component_clause,[],[f7304]) ).
fof(f7650,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_86
| ~ spl14_87
| spl14_674
| ~ spl14_206
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3236,f3156,f1738,f7648,f747,f743,f209,f204]) ).
fof(f7648,plain,
( spl14_674
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_674])]) ).
fof(f3236,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k11_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X1,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_206
| ~ spl14_324 ),
inference(resolution,[],[f3157,f1739]) ).
fof(f1739,plain,
( m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ spl14_206 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f7637,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_86
| ~ spl14_87
| spl14_673
| ~ spl14_206
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3206,f3152,f1738,f7635,f747,f743,f209,f204]) ).
fof(f7635,plain,
( spl14_673
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_673])]) ).
fof(f3206,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),X0,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,k11_cat_2(X1,X0),k16_cat_2(sK1,sK2),sK8(sK1,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_206
| ~ spl14_323 ),
inference(resolution,[],[f3153,f1739]) ).
fof(f7632,plain,
( spl14_672
| ~ spl14_100
| ~ spl14_216 ),
inference(avatar_split_clause,[],[f1862,f1836,f824,f7630]) ).
fof(f7630,plain,
( spl14_672
<=> ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_672])]) ).
fof(f1836,plain,
( spl14_216
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_216])]) ).
fof(f1862,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2)
| v1_xboole_0(k1_zfmisc_1(X2))
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(k1_zfmisc_1(X2),X0,X1) )
| ~ spl14_100
| ~ spl14_216 ),
inference(resolution,[],[f1837,f825]) ).
fof(f1837,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_zfmisc_1(X0),X1)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl14_216 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f7612,plain,
( ~ spl14_86
| ~ spl14_87
| spl14_671
| ~ spl14_3
| ~ spl14_4
| ~ spl14_206
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3176,f3143,f1738,f209,f204,f7610,f747,f743]) ).
fof(f7610,plain,
( spl14_671
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,sK1,X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK1,X5,k16_cat_2(sK1,sK2)))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK1,X5,k16_cat_2(sK1,sK2))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_671])]) ).
fof(f3176,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK1,X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK1,X5,k16_cat_2(sK1,sK2)))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,k11_cat_2(sK1,sK2),sK1,X5,k16_cat_2(sK1,sK2))))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_206
| ~ spl14_321 ),
inference(resolution,[],[f3144,f1739]) ).
fof(f7594,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_670
| ~ spl14_86
| ~ spl14_87
| ~ spl14_8
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3160,f3143,f229,f747,f743,f7592,f199,f194]) ).
fof(f7592,plain,
( spl14_670
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK4))) = k5_relat_1(X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_670])]) ).
fof(f3160,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK4))) = k5_relat_1(X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK4)))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_321 ),
inference(resolution,[],[f3144,f231]) ).
fof(f7576,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_669
| ~ spl14_86
| ~ spl14_87
| ~ spl14_7
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3159,f3143,f224,f747,f743,f7574,f199,f194]) ).
fof(f7574,plain,
( spl14_669
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK3))) = k5_relat_1(X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_669])]) ).
fof(f3159,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,k11_cat_2(sK1,sK2),X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK3))) = k5_relat_1(X2,k2_isocat_1(X0,X3,k11_cat_2(sK1,sK2),X4,k2_isocat_1(X3,sK0,k11_cat_2(sK1,sK2),X5,sK3)))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_321 ),
inference(resolution,[],[f3144,f226]) ).
fof(f7563,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_1
| ~ spl14_2
| spl14_668
| ~ spl14_8
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3220,f3156,f229,f7561,f199,f194,f747,f743]) ).
fof(f7561,plain,
( spl14_668
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_668])]) ).
fof(f3220,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_8
| ~ spl14_324 ),
inference(resolution,[],[f3157,f231]) ).
fof(f7550,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_1
| ~ spl14_2
| spl14_667
| ~ spl14_7
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3219,f3156,f224,f7548,f199,f194,f747,f743]) ).
fof(f7548,plain,
( spl14_667
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_667])]) ).
fof(f3219,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_7
| ~ spl14_324 ),
inference(resolution,[],[f3157,f226]) ).
fof(f7537,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_1
| ~ spl14_2
| spl14_666
| ~ spl14_8
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3190,f3152,f229,f7535,f199,f194,f747,f743]) ).
fof(f7535,plain,
( spl14_666
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_666])]) ).
fof(f3190,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_8
| ~ spl14_323 ),
inference(resolution,[],[f3153,f231]) ).
fof(f7524,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_1
| ~ spl14_2
| spl14_665
| ~ spl14_7
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3189,f3152,f224,f7522,f199,f194,f747,f743]) ).
fof(f7522,plain,
( spl14_665
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_665])]) ).
fof(f3189,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X1,X0),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_7
| ~ spl14_323 ),
inference(resolution,[],[f3153,f226]) ).
fof(f7520,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_44
| spl14_649 ),
inference(avatar_split_clause,[],[f7393,f7300,f417,f219,f214]) ).
fof(f7393,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_44
| spl14_649 ),
inference(duplicate_literal_removal,[],[f7392]) ).
fof(f7392,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_44
| spl14_649 ),
inference(resolution,[],[f7302,f418]) ).
fof(f7302,plain,
( ~ v2_cat_1(k11_cat_2(sK2,sK2))
| spl14_649 ),
inference(avatar_component_clause,[],[f7300]) ).
fof(f7519,plain,
( spl14_664
| ~ spl14_36
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1857,f1832,f358,f7517]) ).
fof(f7517,plain,
( spl14_664
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK5(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK6(sK5(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_664])]) ).
fof(f358,plain,
( spl14_36
<=> ! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f1832,plain,
( spl14_215
<=> ! [X0] :
( m1_subset_1(sK6(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_215])]) ).
fof(f1857,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(sK5(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| v1_relat_1(sK6(sK5(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))) )
| ~ spl14_36
| ~ spl14_215 ),
inference(resolution,[],[f1833,f359]) ).
fof(f359,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) )
| ~ spl14_36 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f1833,plain,
( ! [X0] :
( m1_subset_1(sK6(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) )
| ~ spl14_215 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f7506,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| spl14_663
| ~ spl14_205
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3224,f3156,f1733,f7504,f199,f194,f209,f204]) ).
fof(f7504,plain,
( spl14_663
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_663])]) ).
fof(f1733,plain,
( spl14_205
<=> m2_cat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_205])]) ).
fof(f3224,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_205
| ~ spl14_324 ),
inference(resolution,[],[f3157,f1734]) ).
fof(f1734,plain,
( m2_cat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK0,sK1)
| ~ spl14_205 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f7493,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| spl14_662
| ~ spl14_208
| ~ spl14_324 ),
inference(avatar_split_clause,[],[f3223,f3156,f1750,f7491,f199,f194,f209,f204]) ).
fof(f7491,plain,
( spl14_662
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_662])]) ).
fof(f1750,plain,
( spl14_208
<=> m2_cat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_208])]) ).
fof(f3223,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k11_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X1,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_208
| ~ spl14_324 ),
inference(resolution,[],[f3157,f1751]) ).
fof(f1751,plain,
( m2_cat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK0,sK1)
| ~ spl14_208 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f7480,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| spl14_661
| ~ spl14_205
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3194,f3152,f1733,f7478,f199,f194,f209,f204]) ).
fof(f7478,plain,
( spl14_661
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_661])]) ).
fof(f3194,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_205
| ~ spl14_323 ),
inference(resolution,[],[f3153,f1734]) ).
fof(f7467,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| spl14_660
| ~ spl14_208
| ~ spl14_323 ),
inference(avatar_split_clause,[],[f3193,f3152,f1750,f7465,f199,f194,f209,f204]) ).
fof(f7465,plain,
( spl14_660
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_660])]) ).
fof(f3193,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k12_isocat_2(sK0,X1,X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0)))) = k2_isocat_1(sK0,k11_cat_2(X1,X0),X0,k2_isocat_1(sK0,sK1,k11_cat_2(X1,X0),k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_208
| ~ spl14_323 ),
inference(resolution,[],[f3153,f1751]) ).
fof(f7449,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_659
| ~ spl14_3
| ~ spl14_4
| ~ spl14_205
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3164,f3143,f1733,f209,f204,f7447,f199,f194]) ).
fof(f7447,plain,
( spl14_659
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,sK1,X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK3,k16_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_659])]) ).
fof(f3164,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK1,X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK3,k16_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_205
| ~ spl14_321 ),
inference(resolution,[],[f3144,f1734]) ).
fof(f7431,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_658
| ~ spl14_3
| ~ spl14_4
| ~ spl14_208
| ~ spl14_321 ),
inference(avatar_split_clause,[],[f3163,f3143,f1750,f209,f204,f7429,f199,f194]) ).
fof(f7429,plain,
( spl14_658
<=> ! [X2,X3,X4,X0,X5,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X2,X1,X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| k2_isocat_1(X1,X0,sK1,X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK4,k16_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_658])]) ).
fof(f3163,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK1,X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK4,k16_cat_2(sK1,sK2))))) = k5_relat_1(X2,k2_isocat_1(X0,X3,sK1,X4,k2_isocat_1(X3,sK0,sK1,X5,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_208
| ~ spl14_321 ),
inference(resolution,[],[f3144,f1751]) ).
fof(f7377,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_657
| ~ spl14_3
| ~ spl14_4
| ~ spl14_8
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3346,f3324,f229,f209,f204,f7375,f219,f214,f747,f743,f199,f194]) ).
fof(f7375,plain,
( spl14_657
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ m2_cat_1(X2,X1,X0)
| k2_isocat_1(X1,X0,sK1,X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k5_relat_1(X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_657])]) ).
fof(f3346,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK1,X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k5_relat_1(X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_331 ),
inference(resolution,[],[f3325,f231]) ).
fof(f7359,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_656
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_331 ),
inference(avatar_split_clause,[],[f3345,f3324,f224,f209,f204,f7357,f219,f214,f747,f743,f199,f194]) ).
fof(f7357,plain,
( spl14_656
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ m2_cat_1(X2,X1,X0)
| k2_isocat_1(X1,X0,sK1,X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k5_relat_1(X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_656])]) ).
fof(f3345,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK1,X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k5_relat_1(X2,k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_331 ),
inference(resolution,[],[f3325,f226]) ).
fof(f7341,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_655
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3328,f3320,f229,f219,f214,f7339,f209,f204,f747,f743,f199,f194]) ).
fof(f7339,plain,
( spl14_655
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ m2_cat_1(X2,X1,X0)
| k2_isocat_1(X1,X0,sK2,X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k5_relat_1(X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_655])]) ).
fof(f3328,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK2,X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4))) = k5_relat_1(X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK4)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_330 ),
inference(resolution,[],[f3321,f231]) ).
fof(f7323,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_654
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_330 ),
inference(avatar_split_clause,[],[f3327,f3320,f224,f219,f214,f7321,f209,f204,f747,f743,f199,f194]) ).
fof(f7321,plain,
( spl14_654
<=> ! [X0,X3,X2,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ m2_cat_1(X2,X1,X0)
| k2_isocat_1(X1,X0,sK2,X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k5_relat_1(X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_654])]) ).
fof(f3327,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X0,sK2,X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3))) = k5_relat_1(X2,k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X3,sK3)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ m2_cat_1(X2,X1,X0)
| ~ m2_cat_1(X3,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_330 ),
inference(resolution,[],[f3321,f226]) ).
fof(f7319,plain,
( spl14_653
| ~ spl14_52
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1813,f1803,f459,f7317]) ).
fof(f7317,plain,
( spl14_653
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_653])]) ).
fof(f1803,plain,
( spl14_212
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_212])]) ).
fof(f1813,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_212 ),
inference(resolution,[],[f1804,f460]) ).
fof(f1804,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK4)
| ~ l1_cat_1(X0) )
| ~ spl14_212 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f7315,plain,
( spl14_652
| ~ spl14_51
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1812,f1803,f455,f7313]) ).
fof(f7313,plain,
( spl14_652
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_652])]) ).
fof(f1812,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_51
| ~ spl14_212 ),
inference(resolution,[],[f1804,f456]) ).
fof(f7311,plain,
( ~ spl14_649
| ~ spl14_650
| ~ spl14_5
| ~ spl14_6
| spl14_651
| ~ spl14_182
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2013,f1991,f1580,f7308,f219,f214,f7304,f7300]) ).
fof(f7308,plain,
( spl14_651
<=> v1_relat_1(k16_cat_2(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_651])]) ).
fof(f1580,plain,
( spl14_182
<=> m2_cat_1(k16_cat_2(sK2,sK2),k11_cat_2(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_182])]) ).
fof(f2013,plain,
( v1_relat_1(k16_cat_2(sK2,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK2,sK2))
| ~ v2_cat_1(k11_cat_2(sK2,sK2))
| ~ spl14_182
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1582]) ).
fof(f1582,plain,
( m2_cat_1(k16_cat_2(sK2,sK2),k11_cat_2(sK2,sK2),sK2)
| ~ spl14_182 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f7298,plain,
( spl14_648
| ~ spl14_50
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1811,f1803,f451,f7296]) ).
fof(f7296,plain,
( spl14_648
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_648])]) ).
fof(f1811,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_212 ),
inference(resolution,[],[f1804,f452]) ).
fof(f7294,plain,
( spl14_647
| ~ spl14_49
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1810,f1803,f447,f7292]) ).
fof(f7292,plain,
( spl14_647
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_647])]) ).
fof(f1810,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK4) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_49
| ~ spl14_212 ),
inference(resolution,[],[f1804,f448]) ).
fof(f7290,plain,
( spl14_646
| ~ spl14_52
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1797,f1787,f459,f7288]) ).
fof(f7288,plain,
( spl14_646
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_646])]) ).
fof(f1787,plain,
( spl14_211
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_211])]) ).
fof(f1797,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_211 ),
inference(resolution,[],[f1788,f460]) ).
fof(f1788,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK4)
| ~ l1_cat_1(X0) )
| ~ spl14_211 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f7286,plain,
( spl14_645
| ~ spl14_51
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1796,f1787,f455,f7284]) ).
fof(f7284,plain,
( spl14_645
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_645])]) ).
fof(f1796,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_51
| ~ spl14_211 ),
inference(resolution,[],[f1788,f456]) ).
fof(f7282,plain,
( spl14_644
| ~ spl14_50
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1795,f1787,f451,f7280]) ).
fof(f7280,plain,
( spl14_644
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_644])]) ).
fof(f1795,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK4)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_211 ),
inference(resolution,[],[f1788,f452]) ).
fof(f7278,plain,
( spl14_643
| ~ spl14_49
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1794,f1787,f447,f7276]) ).
fof(f7276,plain,
( spl14_643
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_643])]) ).
fof(f1794,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK4) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_49
| ~ spl14_211 ),
inference(resolution,[],[f1788,f448]) ).
fof(f7274,plain,
( spl14_642
| ~ spl14_52
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1781,f1771,f459,f7272]) ).
fof(f7272,plain,
( spl14_642
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_642])]) ).
fof(f1771,plain,
( spl14_210
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_210])]) ).
fof(f1781,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k9_isocat_2(X1,k11_cat_2(sK0,X0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_210 ),
inference(resolution,[],[f1772,f460]) ).
fof(f1772,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK3)
| ~ l1_cat_1(X0) )
| ~ spl14_210 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f7270,plain,
( spl14_641
| ~ spl14_51
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1780,f1771,f455,f7268]) ).
fof(f7268,plain,
( spl14_641
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_641])]) ).
fof(f1780,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k8_isocat_2(k11_cat_2(sK0,X0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_51
| ~ spl14_210 ),
inference(resolution,[],[f1772,f456]) ).
fof(f7266,plain,
( spl14_640
| ~ spl14_50
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1779,f1771,f451,f7264]) ).
fof(f7264,plain,
( spl14_640
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_640])]) ).
fof(f1779,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(X1,k11_cat_2(sK0,X0)),sK0,X0,k17_cat_2(X1,k11_cat_2(sK0,X0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_210 ),
inference(resolution,[],[f1772,f452]) ).
fof(f7262,plain,
( spl14_639
| ~ spl14_49
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1778,f1771,f447,f7260]) ).
fof(f7260,plain,
( spl14_639
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_639])]) ).
fof(f1778,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,k11_cat_2(sK1,sK2),k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK3) = k5_relat_1(k11_isocat_2(k11_cat_2(k11_cat_2(sK0,X0),X1),sK0,X0,k16_cat_2(k11_cat_2(sK0,X0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(sK0,X0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_49
| ~ spl14_210 ),
inference(resolution,[],[f1772,f448]) ).
fof(f7257,plain,
( spl14_638
| ~ spl14_52
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1765,f1755,f459,f7255]) ).
fof(f7255,plain,
( spl14_638
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_638])]) ).
fof(f1755,plain,
( spl14_209
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_209])]) ).
fof(f1765,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k9_isocat_2(X1,k11_cat_2(X0,sK0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_209 ),
inference(resolution,[],[f1756,f460]) ).
fof(f1756,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK3)
| ~ l1_cat_1(X0) )
| ~ spl14_209 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f7253,plain,
( spl14_637
| ~ spl14_51
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1764,f1755,f455,f7251]) ).
fof(f7251,plain,
( spl14_637
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_637])]) ).
fof(f1764,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k8_isocat_2(k11_cat_2(X0,sK0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_51
| ~ spl14_209 ),
inference(resolution,[],[f1756,f456]) ).
fof(f7249,plain,
( spl14_636
| ~ spl14_50
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1763,f1755,f451,f7247]) ).
fof(f7247,plain,
( spl14_636
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_636])]) ).
fof(f1763,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| k2_isocat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(X1,k11_cat_2(X0,sK0)),X0,sK0,k17_cat_2(X1,k11_cat_2(X0,sK0))),sK3)
| ~ l1_cat_1(k11_cat_2(X1,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_209 ),
inference(resolution,[],[f1756,f452]) ).
fof(f7245,plain,
( spl14_635
| ~ spl14_49
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1762,f1755,f447,f7243]) ).
fof(f7243,plain,
( spl14_635
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_635])]) ).
fof(f1762,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| k2_isocat_1(k11_cat_2(k11_cat_2(X0,sK0),X1),sK0,k11_cat_2(sK1,sK2),k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK3) = k5_relat_1(k12_isocat_2(k11_cat_2(k11_cat_2(X0,sK0),X1),X0,sK0,k16_cat_2(k11_cat_2(X0,sK0),X1)),sK3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,sK0),X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_49
| ~ spl14_209 ),
inference(resolution,[],[f1756,f448]) ).
fof(f7237,plain,
( spl14_634
| ~ spl14_43
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1859,f1832,f404,f7235]) ).
fof(f7235,plain,
( spl14_634
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK5(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK5(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_634])]) ).
fof(f404,plain,
( spl14_43
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f1859,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK5(k1_zfmisc_1(X0)))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK5(k1_zfmisc_1(X0)))) )
| ~ spl14_43
| ~ spl14_215 ),
inference(resolution,[],[f1833,f405]) ).
fof(f405,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1) )
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f7169,plain,
( spl14_633
| ~ spl14_528
| ~ spl14_68
| ~ spl14_529 ),
inference(avatar_split_clause,[],[f6197,f5735,f608,f5731,f7166]) ).
fof(f7166,plain,
( spl14_633
<=> k17_cat_2(k11_cat_2(sK1,sK1),sK2) = k9_isocat_2(k11_cat_2(sK1,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_633])]) ).
fof(f6197,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK1))
| k17_cat_2(k11_cat_2(sK1,sK1),sK2) = k9_isocat_2(k11_cat_2(sK1,sK1),sK2)
| ~ spl14_68
| ~ spl14_529 ),
inference(resolution,[],[f5736,f609]) ).
fof(f7157,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_632
| ~ spl14_8
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2580,f2546,f229,f7155,f747,f743,f199,f194]) ).
fof(f7155,plain,
( spl14_632
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))) = k5_relat_1(sK4,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_632])]) ).
fof(f2580,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))) = k5_relat_1(sK4,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_8
| ~ spl14_274 ),
inference(resolution,[],[f2547,f231]) ).
fof(f7146,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_631
| ~ spl14_7
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2579,f2546,f224,f7144,f747,f743,f199,f194]) ).
fof(f7144,plain,
( spl14_631
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))) = k5_relat_1(sK3,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_631])]) ).
fof(f2579,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))) = k5_relat_1(sK3,k11_isocat_2(k11_cat_2(sK1,sK2),X0,X1,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_7
| ~ spl14_274 ),
inference(resolution,[],[f2547,f226]) ).
fof(f7135,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_630
| ~ spl14_8
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2550,f2542,f229,f7133,f747,f743,f199,f194]) ).
fof(f7133,plain,
( spl14_630
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k5_relat_1(sK4,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_630])]) ).
fof(f2550,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k5_relat_1(sK4,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_8
| ~ spl14_273 ),
inference(resolution,[],[f2543,f231]) ).
fof(f7124,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_629
| ~ spl14_7
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2549,f2542,f224,f7122,f747,f743,f199,f194]) ).
fof(f7122,plain,
( spl14_629
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k5_relat_1(sK3,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_629])]) ).
fof(f2549,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0)))) = k5_relat_1(sK3,k12_isocat_2(k11_cat_2(sK1,sK2),X1,X0,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_7
| ~ spl14_273 ),
inference(resolution,[],[f2543,f226]) ).
fof(f7106,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_628
| ~ spl14_58
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1986,f1973,f501,f7104,f199,f194]) ).
fof(f7104,plain,
( spl14_628
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_628])]) ).
fof(f1973,plain,
( spl14_226
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,sK0)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_226])]) ).
fof(f1986,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_226 ),
inference(duplicate_literal_removal,[],[f1979]) ).
fof(f1979,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_226 ),
inference(resolution,[],[f1974,f502]) ).
fof(f1974,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X2,sK0)
| ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ spl14_226 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f7087,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_627
| ~ spl14_58
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1968,f1955,f501,f7085,f199,f194]) ).
fof(f7085,plain,
( spl14_627
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,X3)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_627])]) ).
fof(f1955,plain,
( spl14_225
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,sK0)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_225])]) ).
fof(f1968,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_225 ),
inference(duplicate_literal_removal,[],[f1961]) ).
fof(f1961,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X3,sK0,X4,X5),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_225 ),
inference(resolution,[],[f1956,f502]) ).
fof(f1956,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X2,sK0)
| ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ spl14_225 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f7083,plain,
( spl14_626
| ~ spl14_58
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1814,f1803,f501,f7081]) ).
fof(f7081,plain,
( spl14_626
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_626])]) ).
fof(f1814,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_212 ),
inference(duplicate_literal_removal,[],[f1809]) ).
fof(f1809,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_212 ),
inference(resolution,[],[f1804,f502]) ).
fof(f7079,plain,
( spl14_625
| ~ spl14_58
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1798,f1787,f501,f7077]) ).
fof(f7077,plain,
( spl14_625
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(X0,sK0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_625])]) ).
fof(f1798,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(X0,sK0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_211 ),
inference(duplicate_literal_removal,[],[f1793]) ).
fof(f1793,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(X0,sK0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_211 ),
inference(resolution,[],[f1788,f502]) ).
fof(f7075,plain,
( spl14_624
| ~ spl14_58
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1782,f1771,f501,f7073]) ).
fof(f7073,plain,
( spl14_624
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_624])]) ).
fof(f1782,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_210 ),
inference(duplicate_literal_removal,[],[f1777]) ).
fof(f1777,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k2_isocat_1(X1,X2,k11_cat_2(sK0,X0),X3,X4)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_210 ),
inference(resolution,[],[f1772,f502]) ).
fof(f7071,plain,
( spl14_623
| ~ spl14_58
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1766,f1755,f501,f7069]) ).
fof(f7069,plain,
( spl14_623
<=> ! [X2,X4,X0,X3,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(X0,sK0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_623])]) ).
fof(f1766,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(X0,sK0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_209 ),
inference(duplicate_literal_removal,[],[f1761]) ).
fof(f1761,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k2_isocat_1(X1,X2,k11_cat_2(X0,sK0),X3,X4)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X4,X2,k11_cat_2(X0,sK0))
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_209 ),
inference(resolution,[],[f1756,f502]) ).
fof(f7051,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_622
| ~ spl14_52
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1983,f1973,f459,f7049,f199,f194]) ).
fof(f7049,plain,
( spl14_622
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_622])]) ).
fof(f1983,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_226 ),
inference(resolution,[],[f1974,f460]) ).
fof(f7031,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_621
| ~ spl14_51
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1982,f1973,f455,f7029,f199,f194]) ).
fof(f7029,plain,
( spl14_621
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_621])]) ).
fof(f1982,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_226 ),
inference(resolution,[],[f1974,f456]) ).
fof(f7027,plain,
( spl14_620
| ~ spl14_528
| ~ spl14_67
| ~ spl14_529 ),
inference(avatar_split_clause,[],[f6196,f5735,f599,f5731,f7024]) ).
fof(f7024,plain,
( spl14_620
<=> k17_cat_2(k11_cat_2(sK1,sK1),sK1) = k9_isocat_2(k11_cat_2(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_620])]) ).
fof(f6196,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK1))
| k17_cat_2(k11_cat_2(sK1,sK1),sK1) = k9_isocat_2(k11_cat_2(sK1,sK1),sK1)
| ~ spl14_67
| ~ spl14_529 ),
inference(resolution,[],[f5736,f600]) ).
fof(f7006,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_619
| ~ spl14_50
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1981,f1973,f451,f7004,f199,f194]) ).
fof(f7004,plain,
( spl14_619
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_619])]) ).
fof(f1981,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_226 ),
inference(resolution,[],[f1974,f452]) ).
fof(f6986,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_618
| ~ spl14_49
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1980,f1973,f447,f6984,f199,f194]) ).
fof(f6984,plain,
( spl14_618
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_618])]) ).
fof(f1980,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK4)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_226 ),
inference(resolution,[],[f1974,f448]) ).
fof(f6966,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_617
| ~ spl14_52
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1965,f1955,f459,f6964,f199,f194]) ).
fof(f6964,plain,
( spl14_617
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_617])]) ).
fof(f1965,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X2,sK0),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_225 ),
inference(resolution,[],[f1956,f460]) ).
fof(f6946,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_616
| ~ spl14_51
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1964,f1955,f455,f6944,f199,f194]) ).
fof(f6944,plain,
( spl14_616
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_616])]) ).
fof(f1964,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X2),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_225 ),
inference(resolution,[],[f1956,f456]) ).
fof(f6926,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_615
| ~ spl14_50
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1963,f1955,f451,f6924,f199,f194]) ).
fof(f6924,plain,
( spl14_615
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_615])]) ).
fof(f1963,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,sK0))
| k2_isocat_1(X1,k11_cat_2(X2,sK0),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(X2,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X2,sK0),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(k11_cat_2(X2,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_225 ),
inference(resolution,[],[f1956,f452]) ).
fof(f6905,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_614
| ~ spl14_49
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1962,f1955,f447,f6903,f199,f194]) ).
fof(f6903,plain,
( spl14_614
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_614])]) ).
fof(f1962,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,k11_cat_2(sK0,X2))
| k2_isocat_1(X1,k11_cat_2(sK0,X2),k11_cat_2(sK1,sK2),X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK3)) = k5_relat_1(X0,k2_isocat_1(k11_cat_2(sK0,X2),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X2),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(k11_cat_2(sK0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_225 ),
inference(resolution,[],[f1956,f448]) ).
fof(f6893,plain,
( spl14_613
| ~ spl14_40
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1858,f1832,f386,f6891]) ).
fof(f6891,plain,
( spl14_613
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK5(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK5(k1_zfmisc_1(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_613])]) ).
fof(f386,plain,
( spl14_40
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f1858,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(sK5(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK5(k1_zfmisc_1(X0)))) )
| ~ spl14_40
| ~ spl14_215 ),
inference(resolution,[],[f1833,f387]) ).
fof(f387,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X0,X1) )
| ~ spl14_40 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f6889,plain,
( spl14_612
| ~ spl14_43
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1854,f1819,f404,f6887]) ).
fof(f6887,plain,
( spl14_612
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_612])]) ).
fof(f1819,plain,
( spl14_213
<=> ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_213])]) ).
fof(f1854,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| m1_subset_1(X1,X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl14_43
| ~ spl14_213 ),
inference(resolution,[],[f1820,f405]) ).
fof(f1820,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl14_213 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f6885,plain,
( spl14_611
| ~ spl14_36
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1852,f1819,f358,f6883]) ).
fof(f6883,plain,
( spl14_611
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_611])]) ).
fof(f1852,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))
| v1_relat_1(sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))))) )
| ~ spl14_36
| ~ spl14_213 ),
inference(resolution,[],[f1820,f359]) ).
fof(f6857,plain,
( spl14_610
| ~ spl14_528
| ~ spl14_66
| ~ spl14_529 ),
inference(avatar_split_clause,[],[f6195,f5735,f590,f5731,f6854]) ).
fof(f6854,plain,
( spl14_610
<=> k17_cat_2(k11_cat_2(sK1,sK1),sK0) = k9_isocat_2(k11_cat_2(sK1,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_610])]) ).
fof(f6195,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK1))
| k17_cat_2(k11_cat_2(sK1,sK1),sK0) = k9_isocat_2(k11_cat_2(sK1,sK1),sK0)
| ~ spl14_66
| ~ spl14_529 ),
inference(resolution,[],[f5736,f591]) ).
fof(f6773,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_609
| ~ spl14_200
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2597,f2546,f1705,f6771,f219,f214,f747,f743]) ).
fof(f6771,plain,
( spl14_609
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1)))) = k5_relat_1(k17_cat_2(sK1,sK2),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_609])]) ).
fof(f2597,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1)))) = k5_relat_1(k17_cat_2(sK1,sK2),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_200
| ~ spl14_274 ),
inference(resolution,[],[f2547,f1706]) ).
fof(f6762,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_608
| ~ spl14_206
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2596,f2546,f1738,f6760,f209,f204,f747,f743]) ).
fof(f6760,plain,
( spl14_608
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1)))) = k5_relat_1(k16_cat_2(sK1,sK2),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_608])]) ).
fof(f2596,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1)))) = k5_relat_1(k16_cat_2(sK1,sK2),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_206
| ~ spl14_274 ),
inference(resolution,[],[f2547,f1739]) ).
fof(f6750,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_607
| ~ spl14_200
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2567,f2542,f1705,f6748,f219,f214,f747,f743]) ).
fof(f6748,plain,
( spl14_607
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0)))) = k5_relat_1(k17_cat_2(sK1,sK2),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_607])]) ).
fof(f2567,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0)))) = k5_relat_1(k17_cat_2(sK1,sK2),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_200
| ~ spl14_273 ),
inference(resolution,[],[f2543,f1706]) ).
fof(f6739,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_606
| ~ spl14_206
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2566,f2542,f1738,f6737,f209,f204,f747,f743]) ).
fof(f6737,plain,
( spl14_606
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0)))) = k5_relat_1(k16_cat_2(sK1,sK2),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_606])]) ).
fof(f2566,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0)))) = k5_relat_1(k16_cat_2(sK1,sK2),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_206
| ~ spl14_273 ),
inference(resolution,[],[f2543,f1739]) ).
fof(f6721,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| spl14_605
| ~ spl14_200
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2529,f2473,f1705,f6719,f747,f743,f219,f214]) ).
fof(f6719,plain,
( spl14_605
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),sK8(sK2,X0))) = k5_relat_1(X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),sK8(sK2,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_605])]) ).
fof(f2529,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),sK8(sK2,X0))) = k5_relat_1(X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),sK8(sK2,X0)))
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_200
| ~ spl14_271 ),
inference(resolution,[],[f2474,f1706]) ).
fof(f6703,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_86
| ~ spl14_87
| spl14_604
| ~ spl14_206
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2528,f2473,f1738,f6701,f747,f743,f209,f204]) ).
fof(f6701,plain,
( spl14_604
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),sK8(sK1,X0))) = k5_relat_1(X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),sK8(sK1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_604])]) ).
fof(f2528,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),sK8(sK1,X0))) = k5_relat_1(X2,k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),sK8(sK1,X0)))
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_206
| ~ spl14_271 ),
inference(resolution,[],[f2474,f1739]) ).
fof(f6685,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_603
| ~ spl14_58
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2094,f2081,f501,f6683,f199,f194]) ).
fof(f6683,plain,
( spl14_603
<=> ! [X0,X3,X2,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_603])]) ).
fof(f2081,plain,
( spl14_231
<=> ! [X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_231])]) ).
fof(f2094,plain,
( ! [X2,X3,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_231 ),
inference(duplicate_literal_removal,[],[f2087]) ).
fof(f2087,plain,
( ! [X2,X3,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_231 ),
inference(resolution,[],[f2082,f502]) ).
fof(f2082,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,X0,sK0)
| k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl14_231 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f6681,plain,
( spl14_602
| ~ spl14_528
| ~ spl14_65
| ~ spl14_529 ),
inference(avatar_split_clause,[],[f6194,f5735,f581,f5731,f6678]) ).
fof(f6678,plain,
( spl14_602
<=> k16_cat_2(k11_cat_2(sK1,sK1),sK2) = k8_isocat_2(k11_cat_2(sK1,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_602])]) ).
fof(f6194,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK1))
| k16_cat_2(k11_cat_2(sK1,sK1),sK2) = k8_isocat_2(k11_cat_2(sK1,sK1),sK2)
| ~ spl14_65
| ~ spl14_529 ),
inference(resolution,[],[f5736,f582]) ).
fof(f6662,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_601
| ~ spl14_58
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2076,f2063,f501,f6660,f199,f194]) ).
fof(f6660,plain,
( spl14_601
<=> ! [X0,X3,X2,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_601])]) ).
fof(f2063,plain,
( spl14_230
<=> ! [X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_230])]) ).
fof(f2076,plain,
( ! [X2,X3,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_230 ),
inference(duplicate_literal_removal,[],[f2069]) ).
fof(f2069,plain,
( ! [X2,X3,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_230 ),
inference(resolution,[],[f2064,f502]) ).
fof(f2064,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,X0,sK0)
| k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl14_230 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f6644,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_600
| ~ spl14_58
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2058,f2041,f501,f6642,f199,f194]) ).
fof(f6642,plain,
( spl14_600
<=> ! [X0,X3,X2,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_600])]) ).
fof(f2041,plain,
( spl14_229
<=> ! [X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_229])]) ).
fof(f2058,plain,
( ! [X2,X3,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_229 ),
inference(duplicate_literal_removal,[],[f2051]) ).
fof(f2051,plain,
( ! [X2,X3,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_229 ),
inference(resolution,[],[f2042,f502]) ).
fof(f2042,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,X0,sK0)
| k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl14_229 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f6626,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_599
| ~ spl14_58
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2036,f2023,f501,f6624,f199,f194]) ).
fof(f6624,plain,
( spl14_599
<=> ! [X0,X3,X2,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X1,sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_599])]) ).
fof(f2023,plain,
( spl14_228
<=> ! [X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_228])]) ).
fof(f2036,plain,
( ! [X2,X3,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_228 ),
inference(duplicate_literal_removal,[],[f2029]) ).
fof(f2029,plain,
( ! [X2,X3,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_228 ),
inference(resolution,[],[f2024,f502]) ).
fof(f2024,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,X0,sK0)
| k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) )
| ~ spl14_228 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f6610,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_598
| ~ spl14_56
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1988,f1973,f488,f6608,f199,f194]) ).
fof(f6608,plain,
( spl14_598
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_598])]) ).
fof(f1988,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_226 ),
inference(duplicate_literal_removal,[],[f1977]) ).
fof(f1977,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_226 ),
inference(resolution,[],[f1974,f489]) ).
fof(f6594,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_597
| ~ spl14_57
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1987,f1973,f492,f6592,f199,f194]) ).
fof(f6592,plain,
( spl14_597
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_597])]) ).
fof(f1987,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_226 ),
inference(duplicate_literal_removal,[],[f1978]) ).
fof(f1978,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_226 ),
inference(resolution,[],[f1974,f493]) ).
fof(f6577,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_596
| ~ spl14_56
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1970,f1955,f488,f6575,f199,f194]) ).
fof(f6575,plain,
( spl14_596
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_596])]) ).
fof(f1970,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_225 ),
inference(duplicate_literal_removal,[],[f1959]) ).
fof(f1959,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X2,sK0,X3,X4),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_225 ),
inference(resolution,[],[f1956,f489]) ).
fof(f6561,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_595
| ~ spl14_57
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1969,f1955,f492,f6559,f199,f194]) ).
fof(f6559,plain,
( spl14_595
<=> ! [X4,X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_595])]) ).
fof(f1969,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_225 ),
inference(duplicate_literal_removal,[],[f1960]) ).
fof(f1960,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X2,X3,sK0,X4),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_225 ),
inference(resolution,[],[f1956,f493]) ).
fof(f6543,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_594
| ~ spl14_58
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1935,f1922,f501,f6541,f199,f194]) ).
fof(f6541,plain,
( spl14_594
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_594])]) ).
fof(f1922,plain,
( spl14_221
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X1,sK0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_221])]) ).
fof(f1935,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK4)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_221 ),
inference(duplicate_literal_removal,[],[f1928]) ).
fof(f1928,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK4)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_221 ),
inference(resolution,[],[f1923,f502]) ).
fof(f1923,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X1,sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK4)
| ~ l1_cat_1(X0) )
| ~ spl14_221 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f6525,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_593
| ~ spl14_58
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1894,f1881,f501,f6523,f199,f194]) ).
fof(f6523,plain,
( spl14_593
<=> ! [X2,X4,X0,X5,X3,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,X3)
| ~ m2_cat_1(X5,X3,sK0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_593])]) ).
fof(f1881,plain,
( spl14_220
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ m2_cat_1(X3,X1,sK0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_220])]) ).
fof(f1894,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK3)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_220 ),
inference(duplicate_literal_removal,[],[f1887]) ).
fof(f1887,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k2_isocat_1(X0,X3,sK0,X4,X5)),sK3)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X5,X3,sK0)
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_220 ),
inference(resolution,[],[f1882,f502]) ).
fof(f1882,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X1,sK0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK3)
| ~ l1_cat_1(X0) )
| ~ spl14_220 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f6521,plain,
( spl14_592
| ~ spl14_56
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1816,f1803,f488,f6519]) ).
fof(f6519,plain,
( spl14_592
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(sK0,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_592])]) ).
fof(f1816,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(sK0,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_56
| ~ spl14_212 ),
inference(duplicate_literal_removal,[],[f1807]) ).
fof(f1807,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(sK0,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_212 ),
inference(resolution,[],[f1804,f489]) ).
fof(f6517,plain,
( spl14_591
| ~ spl14_57
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1815,f1803,f492,f6515]) ).
fof(f6515,plain,
( spl14_591
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_591])]) ).
fof(f1815,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_212 ),
inference(duplicate_literal_removal,[],[f1808]) ).
fof(f1808,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_212 ),
inference(resolution,[],[f1804,f493]) ).
fof(f6513,plain,
( spl14_590
| ~ spl14_528
| ~ spl14_64
| ~ spl14_529 ),
inference(avatar_split_clause,[],[f6193,f5735,f572,f5731,f6510]) ).
fof(f6510,plain,
( spl14_590
<=> k16_cat_2(k11_cat_2(sK1,sK1),sK1) = k8_isocat_2(k11_cat_2(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_590])]) ).
fof(f6193,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK1))
| k16_cat_2(k11_cat_2(sK1,sK1),sK1) = k8_isocat_2(k11_cat_2(sK1,sK1),sK1)
| ~ spl14_64
| ~ spl14_529 ),
inference(resolution,[],[f5736,f573]) ).
fof(f6508,plain,
( spl14_589
| ~ spl14_56
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1800,f1787,f488,f6506]) ).
fof(f6506,plain,
( spl14_589
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(X0,sK0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_589])]) ).
fof(f1800,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(X0,sK0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_56
| ~ spl14_211 ),
inference(duplicate_literal_removal,[],[f1791]) ).
fof(f1791,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(X0,sK0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_211 ),
inference(resolution,[],[f1788,f489]) ).
fof(f6504,plain,
( spl14_588
| ~ spl14_57
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1799,f1787,f492,f6502]) ).
fof(f6502,plain,
( spl14_588
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_588])]) ).
fof(f1799,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_211 ),
inference(duplicate_literal_removal,[],[f1792]) ).
fof(f1792,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK4)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_211 ),
inference(resolution,[],[f1788,f493]) ).
fof(f6500,plain,
( spl14_587
| ~ spl14_56
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1784,f1771,f488,f6498]) ).
fof(f6498,plain,
( spl14_587
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(sK0,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_587])]) ).
fof(f1784,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(sK0,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_56
| ~ spl14_210 ),
inference(duplicate_literal_removal,[],[f1775]) ).
fof(f1775,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k11_isocat_2(X1,k11_cat_2(sK0,X0),X2,X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(sK0,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_210 ),
inference(resolution,[],[f1772,f489]) ).
fof(f6496,plain,
( spl14_586
| ~ spl14_57
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1783,f1771,f492,f6494]) ).
fof(f6494,plain,
( spl14_586
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_586])]) ).
fof(f1783,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_210 ),
inference(duplicate_literal_removal,[],[f1776]) ).
fof(f1776,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,k12_isocat_2(X1,X2,k11_cat_2(sK0,X0),X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(sK0,X0)))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_210 ),
inference(resolution,[],[f1772,f493]) ).
fof(f6492,plain,
( spl14_585
| ~ spl14_56
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1768,f1755,f488,f6490]) ).
fof(f6490,plain,
( spl14_585
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(X0,sK0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_585])]) ).
fof(f1768,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(X0,sK0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_56
| ~ spl14_209 ),
inference(duplicate_literal_removal,[],[f1759]) ).
fof(f1759,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k11_isocat_2(X1,k11_cat_2(X0,sK0),X2,X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(k11_cat_2(X0,sK0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_209 ),
inference(resolution,[],[f1756,f489]) ).
fof(f6488,plain,
( spl14_584
| ~ spl14_57
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1767,f1755,f492,f6486]) ).
fof(f6486,plain,
( spl14_584
<=> ! [X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_584])]) ).
fof(f1767,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_209 ),
inference(duplicate_literal_removal,[],[f1760]) ).
fof(f1760,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,k12_isocat_2(X1,X2,k11_cat_2(X0,sK0),X3)),sK3)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X1,k11_cat_2(X2,k11_cat_2(X0,sK0)))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_209 ),
inference(resolution,[],[f1756,f493]) ).
fof(f6470,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_583
| ~ spl14_8
| ~ spl14_134
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3105,f3055,f1259,f229,f6468,f209,f204,f747,f743,f219,f214,f199,f194]) ).
fof(f6468,plain,
( spl14_583
<=> ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k16_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_583])]) ).
fof(f3105,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k16_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_134
| ~ spl14_318 ),
inference(forward_demodulation,[],[f3087,f1261]) ).
fof(f3087,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k8_isocat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_318 ),
inference(resolution,[],[f3056,f231]) ).
fof(f6452,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_582
| ~ spl14_7
| ~ spl14_134
| ~ spl14_318 ),
inference(avatar_split_clause,[],[f3104,f3055,f1259,f224,f6450,f209,f204,f747,f743,f219,f214,f199,f194]) ).
fof(f6450,plain,
( spl14_582
<=> ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k16_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_582])]) ).
fof(f3104,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k16_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_134
| ~ spl14_318 ),
inference(forward_demodulation,[],[f3086,f1261]) ).
fof(f3086,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k8_isocat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_318 ),
inference(resolution,[],[f3056,f226]) ).
fof(f6433,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_581
| ~ spl14_8
| ~ spl14_143
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3085,f3051,f1318,f229,f6431,f219,f214,f747,f743,f209,f204,f199,f194]) ).
fof(f6431,plain,
( spl14_581
<=> ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k17_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_581])]) ).
fof(f3085,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k17_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_143
| ~ spl14_317 ),
inference(forward_demodulation,[],[f3067,f1320]) ).
fof(f3067,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k9_isocat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_317 ),
inference(resolution,[],[f3052,f231]) ).
fof(f6415,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_580
| ~ spl14_7
| ~ spl14_143
| ~ spl14_317 ),
inference(avatar_split_clause,[],[f3084,f3051,f1318,f224,f6413,f219,f214,f747,f743,f209,f204,f199,f194]) ).
fof(f6413,plain,
( spl14_580
<=> ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k17_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_580])]) ).
fof(f3084,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k17_cat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_143
| ~ spl14_317 ),
inference(forward_demodulation,[],[f3066,f1320]) ).
fof(f3066,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k9_isocat_2(sK1,sK2)) = k5_relat_1(k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_317 ),
inference(resolution,[],[f3052,f226]) ).
fof(f6404,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_579
| ~ spl14_205
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2584,f2546,f1733,f6402,f209,f204,f199,f194]) ).
fof(f6402,plain,
( spl14_579
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_579])]) ).
fof(f2584,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_205
| ~ spl14_274 ),
inference(resolution,[],[f2547,f1734]) ).
fof(f6393,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_578
| ~ spl14_208
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2583,f2546,f1750,f6391,f209,f204,f199,f194]) ).
fof(f6391,plain,
( spl14_578
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_578])]) ).
fof(f2583,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k11_isocat_2(sK1,X0,X1,sK8(sK1,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_208
| ~ spl14_274 ),
inference(resolution,[],[f2547,f1751]) ).
fof(f6382,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_577
| ~ spl14_199
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2582,f2546,f1700,f6380,f219,f214,f199,f194]) ).
fof(f6380,plain,
( spl14_577
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_577])]) ).
fof(f2582,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_199
| ~ spl14_274 ),
inference(resolution,[],[f2547,f1701]) ).
fof(f6378,plain,
( spl14_576
| ~ spl14_528
| ~ spl14_53
| ~ spl14_529 ),
inference(avatar_split_clause,[],[f6192,f5735,f463,f5731,f6375]) ).
fof(f6375,plain,
( spl14_576
<=> k16_cat_2(k11_cat_2(sK1,sK1),sK0) = k8_isocat_2(k11_cat_2(sK1,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_576])]) ).
fof(f6192,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK1))
| k16_cat_2(k11_cat_2(sK1,sK1),sK0) = k8_isocat_2(k11_cat_2(sK1,sK1),sK0)
| ~ spl14_53
| ~ spl14_529 ),
inference(resolution,[],[f5736,f464]) ).
fof(f6366,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_575
| ~ spl14_202
| ~ spl14_274 ),
inference(avatar_split_clause,[],[f2581,f2546,f1717,f6364,f219,f214,f199,f194]) ).
fof(f6364,plain,
( spl14_575
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_575])]) ).
fof(f2581,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1)))) = k5_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k11_isocat_2(sK2,X0,X1,sK8(sK2,k11_cat_2(X0,X1))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_202
| ~ spl14_274 ),
inference(resolution,[],[f2547,f1718]) ).
fof(f6355,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_574
| ~ spl14_205
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2554,f2542,f1733,f6353,f209,f204,f199,f194]) ).
fof(f6353,plain,
( spl14_574
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_574])]) ).
fof(f2554,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_205
| ~ spl14_273 ),
inference(resolution,[],[f2543,f1734]) ).
fof(f6344,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_573
| ~ spl14_208
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2553,f2542,f1750,f6342,f209,f204,f199,f194]) ).
fof(f6342,plain,
( spl14_573
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_573])]) ).
fof(f2553,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k12_isocat_2(sK1,X1,X0,sK8(sK1,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_208
| ~ spl14_273 ),
inference(resolution,[],[f2543,f1751]) ).
fof(f6333,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_572
| ~ spl14_199
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2552,f2542,f1700,f6331,f219,f214,f199,f194]) ).
fof(f6331,plain,
( spl14_572
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_572])]) ).
fof(f2552,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_199
| ~ spl14_273 ),
inference(resolution,[],[f2543,f1701]) ).
fof(f6322,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_571
| ~ spl14_202
| ~ spl14_273 ),
inference(avatar_split_clause,[],[f2551,f2542,f1717,f6320,f219,f214,f199,f194]) ).
fof(f6320,plain,
( spl14_571
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0))))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_571])]) ).
fof(f2551,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0)))) = k5_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k12_isocat_2(sK2,X1,X0,sK8(sK2,k11_cat_2(X1,X0))))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_202
| ~ spl14_273 ),
inference(resolution,[],[f2543,f1718]) ).
fof(f6302,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_570
| ~ spl14_200
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2494,f2469,f1705,f6300,f219,f214,f747,f743]) ).
fof(f6300,plain,
( spl14_570
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| k2_isocat_1(X1,sK2,X0,k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK2,X2,k17_cat_2(sK1,sK2)),sK8(sK2,X0)) = k5_relat_1(k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK2,X2,k17_cat_2(sK1,sK2)),sK8(sK2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_570])]) ).
fof(f2494,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK2,X0,k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK2,X2,k17_cat_2(sK1,sK2)),sK8(sK2,X0)) = k5_relat_1(k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK2,X2,k17_cat_2(sK1,sK2)),sK8(sK2,X0))
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_200
| ~ spl14_270 ),
inference(resolution,[],[f2470,f1706]) ).
fof(f6282,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_569
| ~ spl14_206
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2493,f2469,f1738,f6280,f209,f204,f747,f743]) ).
fof(f6280,plain,
( spl14_569
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| k2_isocat_1(X1,sK1,X0,k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK1,X2,k16_cat_2(sK1,sK2)),sK8(sK1,X0)) = k5_relat_1(k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK1,X2,k16_cat_2(sK1,sK2)),sK8(sK1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_569])]) ).
fof(f2493,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK1,X0,k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK1,X2,k16_cat_2(sK1,sK2)),sK8(sK1,X0)) = k5_relat_1(k2_isocat_1(X1,k11_cat_2(sK1,sK2),sK1,X2,k16_cat_2(sK1,sK2)),sK8(sK1,X0))
| ~ m2_cat_1(X2,X1,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_206
| ~ spl14_270 ),
inference(resolution,[],[f2470,f1739]) ).
fof(f6264,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_568
| ~ spl14_8
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2477,f2469,f229,f6262,f747,f743,f199,f194]) ).
fof(f6262,plain,
( spl14_568
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK4),sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK4),sK8(k11_cat_2(sK1,sK2),X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_568])]) ).
fof(f2477,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK4),sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK4),sK8(k11_cat_2(sK1,sK2),X0))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_270 ),
inference(resolution,[],[f2470,f231]) ).
fof(f6246,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_567
| ~ spl14_7
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2476,f2469,f224,f6244,f747,f743,f199,f194]) ).
fof(f6244,plain,
( spl14_567
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK3),sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK3),sK8(k11_cat_2(sK1,sK2),X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_567])]) ).
fof(f2476,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK3),sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),X2,sK3),sK8(k11_cat_2(sK1,sK2),X0))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_270 ),
inference(resolution,[],[f2470,f226]) ).
fof(f6238,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_566
| ~ spl14_52
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2091,f2081,f459,f6236,f199,f194]) ).
fof(f6236,plain,
( spl14_566
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_566])]) ).
fof(f2091,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_231 ),
inference(resolution,[],[f2082,f460]) ).
fof(f6185,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_565
| ~ spl14_51
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2090,f2081,f455,f6183,f199,f194]) ).
fof(f6183,plain,
( spl14_565
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_565])]) ).
fof(f2090,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_231 ),
inference(resolution,[],[f2082,f456]) ).
fof(f6178,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_564
| ~ spl14_50
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2089,f2081,f451,f6176,f199,f194]) ).
fof(f6176,plain,
( spl14_564
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_564])]) ).
fof(f2089,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_231 ),
inference(resolution,[],[f2082,f452]) ).
fof(f6171,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_563
| ~ spl14_49
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2088,f2081,f447,f6169,f199,f194]) ).
fof(f6169,plain,
( spl14_563
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_563])]) ).
fof(f2088,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_231 ),
inference(resolution,[],[f2082,f448]) ).
fof(f6163,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_562
| ~ spl14_52
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2073,f2063,f459,f6161,f199,f194]) ).
fof(f6161,plain,
( spl14_562
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_562])]) ).
fof(f2073,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_230 ),
inference(resolution,[],[f2064,f460]) ).
fof(f6143,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_561
| ~ spl14_116
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1910,f1738,f1061,f6141,f209,f204,f747,f743]) ).
fof(f6141,plain,
( spl14_561
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,k11_cat_2(sK1,sK2))
| k2_isocat_1(X1,X2,sK1,X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK1,X3,k16_cat_2(sK1,sK2))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK1,X3,k16_cat_2(sK1,sK2)))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_561])]) ).
fof(f1061,plain,
( spl14_116
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( k2_isocat_1(X0,X1,X2,X3,k2_isocat_1(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k2_isocat_1(X1,X4,X2,X5,X6))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X6,X4,X2)
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_116])]) ).
fof(f1910,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,sK1,X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK1,X3,k16_cat_2(sK1,sK2))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK1,X3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X3,X2,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_116
| ~ spl14_206 ),
inference(resolution,[],[f1739,f1062]) ).
fof(f1062,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X6,X4,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,X1,X2,X3,k2_isocat_1(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k2_isocat_1(X1,X4,X2,X5,X6))
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_116 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f6139,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_45
| spl14_529 ),
inference(avatar_split_clause,[],[f5922,f5735,f421,f209,f204]) ).
fof(f5922,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_45
| spl14_529 ),
inference(duplicate_literal_removal,[],[f5921]) ).
fof(f5921,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_45
| spl14_529 ),
inference(resolution,[],[f5737,f422]) ).
fof(f5737,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK1))
| spl14_529 ),
inference(avatar_component_clause,[],[f5735]) ).
fof(f6134,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_560
| ~ spl14_51
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2072,f2063,f455,f6132,f199,f194]) ).
fof(f6132,plain,
( spl14_560
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_560])]) ).
fof(f2072,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_230 ),
inference(resolution,[],[f2064,f456]) ).
fof(f6127,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_559
| ~ spl14_50
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2071,f2063,f451,f6125,f199,f194]) ).
fof(f6125,plain,
( spl14_559
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_559])]) ).
fof(f2071,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_230 ),
inference(resolution,[],[f2064,f452]) ).
fof(f6120,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_558
| ~ spl14_49
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2070,f2063,f447,f6118,f199,f194]) ).
fof(f6118,plain,
( spl14_558
<=> ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_558])]) ).
fof(f2070,plain,
( ! [X0] :
( k12_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_230 ),
inference(resolution,[],[f2064,f448]) ).
fof(f6112,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_557
| ~ spl14_52
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2055,f2041,f459,f6110,f199,f194]) ).
fof(f6110,plain,
( spl14_557
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_557])]) ).
fof(f2055,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_229 ),
inference(resolution,[],[f2042,f460]) ).
fof(f6104,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_556
| ~ spl14_51
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2054,f2041,f455,f6102,f199,f194]) ).
fof(f6102,plain,
( spl14_556
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_556])]) ).
fof(f2054,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_229 ),
inference(resolution,[],[f2042,f456]) ).
fof(f6097,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_555
| ~ spl14_50
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2053,f2041,f451,f6095,f199,f194]) ).
fof(f6095,plain,
( spl14_555
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_555])]) ).
fof(f2053,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_229 ),
inference(resolution,[],[f2042,f452]) ).
fof(f6090,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_554
| ~ spl14_49
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2052,f2041,f447,f6088,f199,f194]) ).
fof(f6088,plain,
( spl14_554
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_554])]) ).
fof(f2052,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_229 ),
inference(resolution,[],[f2042,f448]) ).
fof(f6082,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_553
| ~ spl14_52
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2033,f2023,f459,f6080,f199,f194]) ).
fof(f6080,plain,
( spl14_553
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_553])]) ).
fof(f2033,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_228 ),
inference(resolution,[],[f2024,f460]) ).
fof(f6074,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_552
| ~ spl14_51
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2032,f2023,f455,f6072,f199,f194]) ).
fof(f6072,plain,
( spl14_552
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_552])]) ).
fof(f2032,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_228 ),
inference(resolution,[],[f2024,f456]) ).
fof(f6067,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_551
| ~ spl14_50
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2031,f2023,f451,f6065,f199,f194]) ).
fof(f6065,plain,
( spl14_551
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_551])]) ).
fof(f2031,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(X0,sK0),sK1,sK2,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4)) = k2_isocat_1(k11_cat_2(X0,sK0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_228 ),
inference(resolution,[],[f2024,f452]) ).
fof(f6063,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_44
| spl14_528 ),
inference(avatar_split_clause,[],[f5840,f5731,f417,f209,f204]) ).
fof(f5840,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_44
| spl14_528 ),
inference(duplicate_literal_removal,[],[f5839]) ).
fof(f5839,plain,
( ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_44
| spl14_528 ),
inference(resolution,[],[f5733,f418]) ).
fof(f5733,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK1))
| spl14_528 ),
inference(avatar_component_clause,[],[f5731]) ).
fof(f6059,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_550
| ~ spl14_49
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2030,f2023,f447,f6057,f199,f194]) ).
fof(f6057,plain,
( spl14_550
<=> ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_550])]) ).
fof(f2030,plain,
( ! [X0] :
( k11_isocat_2(k11_cat_2(sK0,X0),sK1,sK2,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4)) = k2_isocat_1(k11_cat_2(sK0,X0),k11_cat_2(sK1,sK2),sK1,k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_228 ),
inference(resolution,[],[f2024,f448]) ).
fof(f6039,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_549
| ~ spl14_116
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1867,f1705,f1061,f6037,f219,f214,f747,f743]) ).
fof(f6037,plain,
( spl14_549
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,k11_cat_2(sK1,sK2))
| k2_isocat_1(X1,X2,sK2,X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK2,X3,k17_cat_2(sK1,sK2))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK2,X3,k17_cat_2(sK1,sK2)))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_549])]) ).
fof(f1867,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,sK2,X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK2,X3,k17_cat_2(sK1,sK2))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(sK1,sK2),sK2,X3,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X3,X2,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_116
| ~ spl14_200 ),
inference(resolution,[],[f1706,f1062]) ).
fof(f6030,plain,
( spl14_548
| ~ spl14_94
| ~ spl14_216 ),
inference(avatar_split_clause,[],[f1861,f1836,f784,f6028]) ).
fof(f6028,plain,
( spl14_548
<=> ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_548])]) ).
fof(f784,plain,
( spl14_94
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_94])]) ).
fof(f1861,plain,
( ! [X0,X1] :
( ~ r1_tarski(k1_zfmisc_1(X0),X1)
| v1_xboole_0(k1_zfmisc_1(X1))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(k1_zfmisc_1(X1),X0) )
| ~ spl14_94
| ~ spl14_216 ),
inference(resolution,[],[f1837,f785]) ).
fof(f785,plain,
( ! [X0,X1] :
( r2_hidden(X1,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl14_94 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f6026,plain,
( spl14_547
| ~ spl14_40
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1853,f1819,f386,f6024]) ).
fof(f6024,plain,
( spl14_547
<=> ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_547])]) ).
fof(f1853,plain,
( ! [X0,X1] :
( v1_xboole_0(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))
| ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(sK6(k1_zfmisc_1(k1_zfmisc_1(X0))))) )
| ~ spl14_40
| ~ spl14_213 ),
inference(resolution,[],[f1820,f387]) ).
fof(f6008,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_1
| ~ spl14_2
| spl14_546
| ~ spl14_8
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2512,f2473,f229,f6006,f199,f194,f747,f743]) ).
fof(f6006,plain,
( spl14_546
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,sK8(k11_cat_2(sK1,sK2),X0))) = k5_relat_1(X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,sK8(k11_cat_2(sK1,sK2),X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_546])]) ).
fof(f2512,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,sK8(k11_cat_2(sK1,sK2),X0))) = k5_relat_1(X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,sK8(k11_cat_2(sK1,sK2),X0)))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_8
| ~ spl14_271 ),
inference(resolution,[],[f2474,f231]) ).
fof(f5990,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_1
| ~ spl14_2
| spl14_545
| ~ spl14_7
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2511,f2473,f224,f5988,f199,f194,f747,f743]) ).
fof(f5988,plain,
( spl14_545
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,sK8(k11_cat_2(sK1,sK2),X0))) = k5_relat_1(X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,sK8(k11_cat_2(sK1,sK2),X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_545])]) ).
fof(f2511,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,sK8(k11_cat_2(sK1,sK2),X0))) = k5_relat_1(X2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,sK8(k11_cat_2(sK1,sK2),X0)))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_7
| ~ spl14_271 ),
inference(resolution,[],[f2474,f226]) ).
fof(f5974,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_544
| ~ spl14_56
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2096,f2081,f488,f5972,f199,f194]) ).
fof(f5972,plain,
( spl14_544
<=> ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_544])]) ).
fof(f2096,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_231 ),
inference(duplicate_literal_removal,[],[f2085]) ).
fof(f2085,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_231 ),
inference(resolution,[],[f2082,f489]) ).
fof(f5958,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_543
| ~ spl14_57
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2095,f2081,f492,f5956,f199,f194]) ).
fof(f5956,plain,
( spl14_543
<=> ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_543])]) ).
fof(f2095,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_231 ),
inference(duplicate_literal_removal,[],[f2086]) ).
fof(f2086,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_231 ),
inference(resolution,[],[f2082,f493]) ).
fof(f5942,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_542
| ~ spl14_56
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2078,f2063,f488,f5940,f199,f194]) ).
fof(f5940,plain,
( spl14_542
<=> ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_542])]) ).
fof(f2078,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_230 ),
inference(duplicate_literal_removal,[],[f2067]) ).
fof(f2067,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_230 ),
inference(resolution,[],[f2064,f489]) ).
fof(f5926,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_541
| ~ spl14_57
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2077,f2063,f492,f5924,f199,f194]) ).
fof(f5924,plain,
( spl14_541
<=> ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_541])]) ).
fof(f2077,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_230 ),
inference(duplicate_literal_removal,[],[f2068]) ).
fof(f2068,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_230 ),
inference(resolution,[],[f2064,f493]) ).
fof(f5908,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_540
| ~ spl14_56
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2060,f2041,f488,f5906,f199,f194]) ).
fof(f5906,plain,
( spl14_540
<=> ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_540])]) ).
fof(f2060,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_229 ),
inference(duplicate_literal_removal,[],[f2049]) ).
fof(f2049,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_229 ),
inference(resolution,[],[f2042,f489]) ).
fof(f5892,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_539
| ~ spl14_57
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2059,f2041,f492,f5890,f199,f194]) ).
fof(f5890,plain,
( spl14_539
<=> ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_539])]) ).
fof(f2059,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_229 ),
inference(duplicate_literal_removal,[],[f2050]) ).
fof(f2050,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_229 ),
inference(resolution,[],[f2042,f493]) ).
fof(f5876,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_538
| ~ spl14_56
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2038,f2023,f488,f5874,f199,f194]) ).
fof(f5874,plain,
( spl14_538
<=> ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_538])]) ).
fof(f2038,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_228 ),
inference(duplicate_literal_removal,[],[f2027]) ).
fof(f2027,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_228 ),
inference(resolution,[],[f2024,f489]) ).
fof(f5860,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_537
| ~ spl14_57
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2037,f2023,f492,f5858,f199,f194]) ).
fof(f5858,plain,
( spl14_537
<=> ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_537])]) ).
fof(f2037,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_228 ),
inference(duplicate_literal_removal,[],[f2028]) ).
fof(f2028,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_228 ),
inference(resolution,[],[f2024,f493]) ).
fof(f5844,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_536
| ~ spl14_56
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1937,f1922,f488,f5842,f199,f194]) ).
fof(f5842,plain,
( spl14_536
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_536])]) ).
fof(f1937,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK4)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_221 ),
inference(duplicate_literal_removal,[],[f1926]) ).
fof(f1926,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK4)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_221 ),
inference(resolution,[],[f1923,f489]) ).
fof(f5826,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_535
| ~ spl14_57
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1936,f1922,f492,f5824,f199,f194]) ).
fof(f5824,plain,
( spl14_535
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,sK0))
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_535])]) ).
fof(f1936,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK4)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_221 ),
inference(duplicate_literal_removal,[],[f1927]) ).
fof(f1927,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK4)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_221 ),
inference(resolution,[],[f1923,f493]) ).
fof(f5806,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_534
| ~ spl14_52
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1932,f1922,f459,f5804,f199,f194]) ).
fof(f5804,plain,
( spl14_534
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_534])]) ).
fof(f1932,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK4)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_221 ),
inference(resolution,[],[f1923,f460]) ).
fof(f5786,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_533
| ~ spl14_51
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1931,f1922,f455,f5784,f199,f194]) ).
fof(f5784,plain,
( spl14_533
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_533])]) ).
fof(f1931,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK4)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_221 ),
inference(resolution,[],[f1923,f456]) ).
fof(f5766,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_532
| ~ spl14_50
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1930,f1922,f451,f5764,f199,f194]) ).
fof(f5764,plain,
( spl14_532
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_532])]) ).
fof(f1930,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK4)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_221 ),
inference(resolution,[],[f1923,f452]) ).
fof(f5746,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_531
| ~ spl14_49
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1929,f1922,f447,f5744,f199,f194]) ).
fof(f5744,plain,
( spl14_531
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_531])]) ).
fof(f1929,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK4) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK4)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_221 ),
inference(resolution,[],[f1923,f448]) ).
fof(f5742,plain,
( ~ spl14_528
| ~ spl14_529
| ~ spl14_3
| ~ spl14_4
| spl14_530
| ~ spl14_164
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2010,f1991,f1455,f5739,f209,f204,f5735,f5731]) ).
fof(f5739,plain,
( spl14_530
<=> v1_relat_1(k16_cat_2(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_530])]) ).
fof(f1455,plain,
( spl14_164
<=> m2_cat_1(k16_cat_2(sK1,sK1),k11_cat_2(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_164])]) ).
fof(f2010,plain,
( v1_relat_1(k16_cat_2(sK1,sK1))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK1))
| ~ v2_cat_1(k11_cat_2(sK1,sK1))
| ~ spl14_164
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1457]) ).
fof(f1457,plain,
( m2_cat_1(k16_cat_2(sK1,sK1),k11_cat_2(sK1,sK1),sK1)
| ~ spl14_164 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f5717,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_527
| ~ spl14_56
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1896,f1881,f488,f5715,f199,f194]) ).
fof(f5715,plain,
( spl14_527
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_527])]) ).
fof(f1896,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK3)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_220 ),
inference(duplicate_literal_removal,[],[f1885]) ).
fof(f1885,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k11_isocat_2(X0,sK0,X3,X4)),sK3)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(sK0,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_220 ),
inference(resolution,[],[f1882,f489]) ).
fof(f5701,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_526
| ~ spl14_57
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1895,f1881,f492,f5699,f199,f194]) ).
fof(f5699,plain,
( spl14_526
<=> ! [X4,X0,X3,X2,X1] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,sK0))
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_526])]) ).
fof(f1895,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK3)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_220 ),
inference(duplicate_literal_removal,[],[f1886]) ).
fof(f1886,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,k12_isocat_2(X0,X3,sK0,X4)),sK3)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_220 ),
inference(resolution,[],[f1882,f493]) ).
fof(f5681,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_525
| ~ spl14_52
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1891,f1881,f459,f5679,f199,f194]) ).
fof(f5679,plain,
( spl14_525
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_525])]) ).
fof(f1891,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k9_isocat_2(X0,sK0)),sK3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_220 ),
inference(resolution,[],[f1882,f460]) ).
fof(f5661,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_524
| ~ spl14_51
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1890,f1881,f455,f5659,f199,f194]) ).
fof(f5659,plain,
( spl14_524
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_524])]) ).
fof(f1890,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k8_isocat_2(sK0,X0)),sK3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_220 ),
inference(resolution,[],[f1882,f456]) ).
fof(f5641,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_523
| ~ spl14_50
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1889,f1881,f451,f5639,f199,f194]) ).
fof(f5639,plain,
( spl14_523
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_523])]) ).
fof(f1889,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ m2_cat_1(X1,X2,k11_cat_2(X0,sK0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(X0,sK0),sK0,X1,k17_cat_2(X0,sK0)),sK3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_220 ),
inference(resolution,[],[f1882,f452]) ).
fof(f5621,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_522
| ~ spl14_49
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1888,f1881,f447,f5619,f199,f194]) ).
fof(f5619,plain,
( spl14_522
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_522])]) ).
fof(f1888,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ m2_cat_1(X1,X2,k11_cat_2(sK0,X0))
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK3) = k5_relat_1(k2_isocat_1(X2,k11_cat_2(sK0,X0),sK0,X1,k16_cat_2(sK0,X0)),sK3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_220 ),
inference(resolution,[],[f1882,f448]) ).
fof(f5613,plain,
( spl14_521
| ~ spl14_43
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1685,f1671,f404,f5611]) ).
fof(f5611,plain,
( spl14_521
<=> ! [X2,X0,X1] :
( ~ r1_tarski(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X0)
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_521])]) ).
fof(f1671,plain,
( spl14_194
<=> ! [X0,X1] :
( m1_subset_1(sK6(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_194])]) ).
fof(f1685,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X0)
| m1_subset_1(X2,X1)
| ~ r2_hidden(X2,sK6(X0)) )
| ~ spl14_43
| ~ spl14_194 ),
inference(resolution,[],[f1672,f405]) ).
fof(f1672,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) )
| ~ spl14_194 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f5595,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| spl14_520
| ~ spl14_205
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2516,f2473,f1733,f5593,f199,f194,f209,f204]) ).
fof(f5593,plain,
( spl14_520
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_520])]) ).
fof(f2516,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0)))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_205
| ~ spl14_271 ),
inference(resolution,[],[f2474,f1734]) ).
fof(f5577,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| spl14_519
| ~ spl14_208
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2515,f2473,f1750,f5575,f199,f194,f209,f204]) ).
fof(f5575,plain,
( spl14_519
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_519])]) ).
fof(f2515,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0)))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1) )
| ~ spl14_208
| ~ spl14_271 ),
inference(resolution,[],[f2474,f1751]) ).
fof(f5559,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| spl14_518
| ~ spl14_199
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2514,f2473,f1700,f5557,f199,f194,f219,f214]) ).
fof(f5557,plain,
( spl14_518
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_518])]) ).
fof(f2514,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0)))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_199
| ~ spl14_271 ),
inference(resolution,[],[f2474,f1701]) ).
fof(f5555,plain,
( ~ spl14_401
| ~ spl14_402
| ~ spl14_1
| ~ spl14_2
| spl14_517
| ~ spl14_193
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2009,f1991,f1663,f5552,f199,f194,f4216,f4212]) ).
fof(f4212,plain,
( spl14_401
<=> v2_cat_1(k11_cat_2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_401])]) ).
fof(f4216,plain,
( spl14_402
<=> l1_cat_1(k11_cat_2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_402])]) ).
fof(f5552,plain,
( spl14_517
<=> v1_relat_1(k17_cat_2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_517])]) ).
fof(f1663,plain,
( spl14_193
<=> m2_cat_1(k17_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_193])]) ).
fof(f2009,plain,
( v1_relat_1(k17_cat_2(sK0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k11_cat_2(sK0,sK0))
| ~ v2_cat_1(k11_cat_2(sK0,sK0))
| ~ spl14_193
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1665]) ).
fof(f1665,plain,
( m2_cat_1(k17_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0)
| ~ spl14_193 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f5536,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| spl14_516
| ~ spl14_202
| ~ spl14_271 ),
inference(avatar_split_clause,[],[f2513,f2473,f1717,f5534,f199,f194,f219,f214]) ).
fof(f5534,plain,
( spl14_516
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_516])]) ).
fof(f2513,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,X0,X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0))) = k5_relat_1(X2,k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0)))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2) )
| ~ spl14_202
| ~ spl14_271 ),
inference(resolution,[],[f2474,f1718]) ).
fof(f5518,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_515
| ~ spl14_205
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2481,f2469,f1733,f5516,f209,f204,f199,f194]) ).
fof(f5516,plain,
( spl14_515
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK1,X0,k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK3,k16_cat_2(sK1,sK2))),sK8(sK1,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK3,k16_cat_2(sK1,sK2))),sK8(sK1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_515])]) ).
fof(f2481,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK1,X0,k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK3,k16_cat_2(sK1,sK2))),sK8(sK1,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK3,k16_cat_2(sK1,sK2))),sK8(sK1,X0))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_205
| ~ spl14_270 ),
inference(resolution,[],[f2470,f1734]) ).
fof(f5500,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_514
| ~ spl14_208
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2480,f2469,f1750,f5498,f209,f204,f199,f194]) ).
fof(f5498,plain,
( spl14_514
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK1,X0,k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK4,k16_cat_2(sK1,sK2))),sK8(sK1,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK4,k16_cat_2(sK1,sK2))),sK8(sK1,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_514])]) ).
fof(f2480,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK1,X0,k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK4,k16_cat_2(sK1,sK2))),sK8(sK1,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK1,X2,k5_relat_1(sK4,k16_cat_2(sK1,sK2))),sK8(sK1,X0))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_208
| ~ spl14_270 ),
inference(resolution,[],[f2470,f1751]) ).
fof(f5482,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_513
| ~ spl14_199
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2479,f2469,f1700,f5480,f219,f214,f199,f194]) ).
fof(f5480,plain,
( spl14_513
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK2,X0,k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK3,k17_cat_2(sK1,sK2))),sK8(sK2,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK3,k17_cat_2(sK1,sK2))),sK8(sK2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_513])]) ).
fof(f2479,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK2,X0,k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK3,k17_cat_2(sK1,sK2))),sK8(sK2,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK3,k17_cat_2(sK1,sK2))),sK8(sK2,X0))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_199
| ~ spl14_270 ),
inference(resolution,[],[f2470,f1701]) ).
fof(f5464,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_512
| ~ spl14_202
| ~ spl14_270 ),
inference(avatar_split_clause,[],[f2478,f2469,f1717,f5462,f219,f214,f199,f194]) ).
fof(f5462,plain,
( spl14_512
<=> ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ m2_cat_1(X2,X1,sK0)
| k2_isocat_1(X1,sK2,X0,k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK4,k17_cat_2(sK1,sK2))),sK8(sK2,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK4,k17_cat_2(sK1,sK2))),sK8(sK2,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_512])]) ).
fof(f2478,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK2,X0,k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK4,k17_cat_2(sK1,sK2))),sK8(sK2,X0)) = k5_relat_1(k2_isocat_1(X1,sK0,sK2,X2,k5_relat_1(sK4,k17_cat_2(sK1,sK2))),sK8(sK2,X0))
| ~ m2_cat_1(X2,X1,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_202
| ~ spl14_270 ),
inference(resolution,[],[f2470,f1718]) ).
fof(f5445,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_511
| ~ spl14_116
| ~ spl14_205 ),
inference(avatar_split_clause,[],[f1918,f1733,f1061,f5443,f209,f204,f199,f194]) ).
fof(f5443,plain,
( spl14_511
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,sK0)
| k2_isocat_1(X1,X2,sK1,X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK3,k16_cat_2(sK1,sK2))))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_511])]) ).
fof(f1918,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,sK1,X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK3,k16_cat_2(sK1,sK2))))
| ~ m2_cat_1(X3,X2,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_116
| ~ spl14_205 ),
inference(resolution,[],[f1734,f1062]) ).
fof(f5427,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_510
| ~ spl14_116
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1914,f1750,f1061,f5425,f209,f204,f199,f194]) ).
fof(f5425,plain,
( spl14_510
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,sK0)
| k2_isocat_1(X1,X2,sK1,X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK4,k16_cat_2(sK1,sK2))))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_510])]) ).
fof(f1914,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,sK1,X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK1,X3,k5_relat_1(sK4,k16_cat_2(sK1,sK2))))
| ~ m2_cat_1(X3,X2,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_116
| ~ spl14_208 ),
inference(resolution,[],[f1751,f1062]) ).
fof(f5409,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_509
| ~ spl14_116
| ~ spl14_199 ),
inference(avatar_split_clause,[],[f1875,f1700,f1061,f5407,f219,f214,f199,f194]) ).
fof(f5407,plain,
( spl14_509
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,sK0)
| k2_isocat_1(X1,X2,sK2,X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK3,k17_cat_2(sK1,sK2))))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_509])]) ).
fof(f1875,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,sK2,X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK3,k17_cat_2(sK1,sK2))))
| ~ m2_cat_1(X3,X2,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_116
| ~ spl14_199 ),
inference(resolution,[],[f1701,f1062]) ).
fof(f5391,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_508
| ~ spl14_116
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1871,f1717,f1061,f5389,f219,f214,f199,f194]) ).
fof(f5389,plain,
( spl14_508
<=> ! [X0,X3,X2,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ m2_cat_1(X3,X2,sK0)
| k2_isocat_1(X1,X2,sK2,X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK4,k17_cat_2(sK1,sK2))))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_508])]) ).
fof(f1871,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,sK2,X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))) = k5_relat_1(X0,k2_isocat_1(X2,sK0,sK2,X3,k5_relat_1(sK4,k17_cat_2(sK1,sK2))))
| ~ m2_cat_1(X3,X2,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_116
| ~ spl14_202 ),
inference(resolution,[],[f1718,f1062]) ).
fof(f5386,plain,
( spl14_507
| ~ spl14_401
| ~ spl14_68
| ~ spl14_402 ),
inference(avatar_split_clause,[],[f4559,f4216,f608,f4212,f5383]) ).
fof(f5383,plain,
( spl14_507
<=> k17_cat_2(k11_cat_2(sK0,sK0),sK2) = k9_isocat_2(k11_cat_2(sK0,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_507])]) ).
fof(f4559,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK0))
| k17_cat_2(k11_cat_2(sK0,sK0),sK2) = k9_isocat_2(k11_cat_2(sK0,sK0),sK2)
| ~ spl14_68
| ~ spl14_402 ),
inference(resolution,[],[f4217,f609]) ).
fof(f4217,plain,
( l1_cat_1(k11_cat_2(sK0,sK0))
| ~ spl14_402 ),
inference(avatar_component_clause,[],[f4216]) ).
fof(f5359,plain,
( spl14_506
| ~ spl14_46
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2021,f1991,f425,f5357]) ).
fof(f5357,plain,
( spl14_506
<=> ! [X0,X1] :
( v1_relat_1(sK8(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_506])]) ).
fof(f2021,plain,
( ! [X0,X1] :
( v1_relat_1(sK8(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_227 ),
inference(duplicate_literal_removal,[],[f2000]) ).
fof(f2000,plain,
( ! [X0,X1] :
( v1_relat_1(sK8(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_227 ),
inference(resolution,[],[f1992,f426]) ).
fof(f5355,plain,
( spl14_505
| ~ spl14_73
| ~ spl14_219 ),
inference(avatar_split_clause,[],[f1879,f1848,f659,f5353]) ).
fof(f5353,plain,
( spl14_505
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_505])]) ).
fof(f1848,plain,
( spl14_219
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_219])]) ).
fof(f1879,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK9(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl14_73
| ~ spl14_219 ),
inference(resolution,[],[f1849,f660]) ).
fof(f1849,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_219 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f5351,plain,
( spl14_504
| ~ spl14_73
| ~ spl14_218 ),
inference(avatar_split_clause,[],[f1878,f1844,f659,f5349]) ).
fof(f5349,plain,
( spl14_504
<=> ! [X0,X1] :
( m1_subset_1(sK6(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_504])]) ).
fof(f1844,plain,
( spl14_218
<=> ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_218])]) ).
fof(f1878,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(sK10(X0,X1)),k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl14_73
| ~ spl14_218 ),
inference(resolution,[],[f1845,f660]) ).
fof(f1845,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_218 ),
inference(avatar_component_clause,[],[f1844]) ).
fof(f5347,plain,
( spl14_503
| ~ spl14_33
| ~ spl14_213 ),
inference(avatar_split_clause,[],[f1851,f1819,f346,f5345]) ).
fof(f5345,plain,
( spl14_503
<=> ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK6(k1_zfmisc_1(X0))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_503])]) ).
fof(f1851,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK6(k1_zfmisc_1(X0))),X0) )
| ~ spl14_33
| ~ spl14_213 ),
inference(resolution,[],[f1820,f347]) ).
fof(f5343,plain,
( spl14_502
| ~ spl14_40
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1684,f1671,f386,f5341]) ).
fof(f5341,plain,
( spl14_502
<=> ! [X2,X0,X1] :
( ~ r1_tarski(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_502])]) ).
fof(f1684,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k1_zfmisc_1(X1))
| v1_xboole_0(X0)
| ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,sK6(X0)) )
| ~ spl14_40
| ~ spl14_194 ),
inference(resolution,[],[f1672,f387]) ).
fof(f5295,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_501
| ~ spl14_46
| ~ spl14_226 ),
inference(avatar_split_clause,[],[f1989,f1973,f425,f5293,f199,f194]) ).
fof(f5293,plain,
( spl14_501
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_501])]) ).
fof(f1989,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_226 ),
inference(duplicate_literal_removal,[],[f1976]) ).
fof(f1976,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK4))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_226 ),
inference(resolution,[],[f1974,f426]) ).
fof(f5246,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_500
| ~ spl14_46
| ~ spl14_225 ),
inference(avatar_split_clause,[],[f1971,f1955,f425,f5244,f199,f194]) ).
fof(f5244,plain,
( spl14_500
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_500])]) ).
fof(f1971,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_225 ),
inference(duplicate_literal_removal,[],[f1958]) ).
fof(f1958,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),sK8(X2,sK0),sK3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_225 ),
inference(resolution,[],[f1956,f426]) ).
fof(f5241,plain,
( ~ spl14_497
| ~ spl14_8
| spl14_498
| ~ spl14_499
| ~ spl14_206
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_244 ),
inference(avatar_split_clause,[],[f2217,f2205,f1510,f1259,f718,f1738,f5238,f5234,f229,f5230]) ).
fof(f5230,plain,
( spl14_497
<=> r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_497])]) ).
fof(f5234,plain,
( spl14_498
<=> r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_498])]) ).
fof(f2217,plain,
( ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK3)
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_244 ),
inference(forward_demodulation,[],[f2216,f1261]) ).
fof(f2216,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK3)
| ~ spl14_82
| ~ spl14_134
| ~ spl14_171
| ~ spl14_244 ),
inference(forward_demodulation,[],[f2215,f1261]) ).
fof(f2215,plain,
( r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK3)
| ~ spl14_82
| ~ spl14_171
| ~ spl14_244 ),
inference(forward_demodulation,[],[f2209,f1512]) ).
fof(f2209,plain,
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK4),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),k16_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,sK3)
| ~ spl14_82
| ~ spl14_244 ),
inference(superposition,[],[f2206,f720]) ).
fof(f5225,plain,
( ~ spl14_494
| ~ spl14_7
| spl14_495
| ~ spl14_496
| ~ spl14_200
| ~ spl14_78
| ~ spl14_143
| ~ spl14_177
| ~ spl14_236 ),
inference(avatar_split_clause,[],[f2130,f2121,f1550,f1318,f689,f1705,f5222,f5218,f224,f5214]) ).
fof(f689,plain,
( spl14_78
<=> k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
fof(f2121,plain,
( spl14_236
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_236])]) ).
fof(f2130,plain,
( ~ m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_78
| ~ spl14_143
| ~ spl14_177
| ~ spl14_236 ),
inference(forward_demodulation,[],[f2129,f1320]) ).
fof(f2129,plain,
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_78
| ~ spl14_143
| ~ spl14_177
| ~ spl14_236 ),
inference(forward_demodulation,[],[f2128,f1320]) ).
fof(f2128,plain,
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_78
| ~ spl14_177
| ~ spl14_236 ),
inference(forward_demodulation,[],[f2124,f1552]) ).
fof(f2124,plain,
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),k17_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK3)
| ~ spl14_78
| ~ spl14_236 ),
inference(superposition,[],[f2122,f691]) ).
fof(f691,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2))
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f2122,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3) )
| ~ spl14_236 ),
inference(avatar_component_clause,[],[f2121]) ).
fof(f5212,plain,
( spl14_493
| ~ spl14_401
| ~ spl14_67
| ~ spl14_402 ),
inference(avatar_split_clause,[],[f4558,f4216,f599,f4212,f5209]) ).
fof(f5209,plain,
( spl14_493
<=> k17_cat_2(k11_cat_2(sK0,sK0),sK1) = k9_isocat_2(k11_cat_2(sK0,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_493])]) ).
fof(f4558,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK0))
| k17_cat_2(k11_cat_2(sK0,sK0),sK1) = k9_isocat_2(k11_cat_2(sK0,sK0),sK1)
| ~ spl14_67
| ~ spl14_402 ),
inference(resolution,[],[f4217,f600]) ).
fof(f5188,plain,
( spl14_492
| ~ spl14_36
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1683,f1671,f358,f5186]) ).
fof(f5186,plain,
( spl14_492
<=> ! [X2,X0,X1] :
( ~ r1_tarski(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X0)
| v1_relat_1(sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_492])]) ).
fof(f1683,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| v1_xboole_0(X0)
| v1_relat_1(sK6(X0)) )
| ~ spl14_36
| ~ spl14_194 ),
inference(resolution,[],[f1672,f359]) ).
fof(f5184,plain,
( spl14_491
| ~ spl14_33
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f1682,f1671,f346,f5182]) ).
fof(f5182,plain,
( spl14_491
<=> ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| r2_hidden(sK6(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_491])]) ).
fof(f1682,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| r2_hidden(sK6(X0),X1) )
| ~ spl14_33
| ~ spl14_194 ),
inference(resolution,[],[f1672,f347]) ).
fof(f5168,plain,
( spl14_490
| ~ spl14_46
| ~ spl14_212 ),
inference(avatar_split_clause,[],[f1817,f1803,f425,f5166]) ).
fof(f5166,plain,
( spl14_490
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_490])]) ).
fof(f1817,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_46
| ~ spl14_212 ),
inference(duplicate_literal_removal,[],[f1806]) ).
fof(f1806,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK4) = k5_relat_1(k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_212 ),
inference(resolution,[],[f1804,f426]) ).
fof(f5164,plain,
( spl14_489
| ~ spl14_46
| ~ spl14_211 ),
inference(avatar_split_clause,[],[f1801,f1787,f425,f5162]) ).
fof(f5162,plain,
( spl14_489
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_489])]) ).
fof(f1801,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_46
| ~ spl14_211 ),
inference(duplicate_literal_removal,[],[f1790]) ).
fof(f1790,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK4) = k5_relat_1(k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK4)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_211 ),
inference(resolution,[],[f1788,f426]) ).
fof(f5159,plain,
( spl14_488
| ~ spl14_46
| ~ spl14_210 ),
inference(avatar_split_clause,[],[f1785,f1771,f425,f5157]) ).
fof(f5157,plain,
( spl14_488
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_488])]) ).
fof(f1785,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_46
| ~ spl14_210 ),
inference(duplicate_literal_removal,[],[f1774]) ).
fof(f1774,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK3) = k5_relat_1(k11_isocat_2(X1,sK0,X0,sK8(X1,k11_cat_2(sK0,X0))),sK3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_210 ),
inference(resolution,[],[f1772,f426]) ).
fof(f5155,plain,
( spl14_487
| ~ spl14_46
| ~ spl14_209 ),
inference(avatar_split_clause,[],[f1769,f1755,f425,f5153]) ).
fof(f5153,plain,
( spl14_487
<=> ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_487])]) ).
fof(f1769,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_46
| ~ spl14_209 ),
inference(duplicate_literal_removal,[],[f1758]) ).
fof(f1758,plain,
( ! [X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK3) = k5_relat_1(k12_isocat_2(X1,X0,sK0,sK8(X1,k11_cat_2(X0,sK0))),sK3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_209 ),
inference(resolution,[],[f1756,f426]) ).
fof(f5140,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_486
| ~ spl14_46
| ~ spl14_231 ),
inference(avatar_split_clause,[],[f2097,f2081,f425,f5138,f199,f194]) ).
fof(f5138,plain,
( spl14_486
<=> ! [X0] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3),k17_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_486])]) ).
fof(f2097,plain,
( ! [X0] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_231 ),
inference(duplicate_literal_removal,[],[f2084]) ).
fof(f2084,plain,
( ! [X0] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_231 ),
inference(resolution,[],[f2082,f426]) ).
fof(f5125,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_485
| ~ spl14_46
| ~ spl14_230 ),
inference(avatar_split_clause,[],[f2079,f2063,f425,f5123,f199,f194]) ).
fof(f5123,plain,
( spl14_485
<=> ! [X0] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4),k17_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_485])]) ).
fof(f2079,plain,
( ! [X0] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_230 ),
inference(duplicate_literal_removal,[],[f2066]) ).
fof(f2066,plain,
( ! [X0] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4),k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_230 ),
inference(resolution,[],[f2064,f426]) ).
fof(f5110,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_484
| ~ spl14_46
| ~ spl14_229 ),
inference(avatar_split_clause,[],[f2061,f2041,f425,f5108,f199,f194]) ).
fof(f5108,plain,
( spl14_484
<=> ! [X0] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3),k16_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_484])]) ).
fof(f2061,plain,
( ! [X0] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_229 ),
inference(duplicate_literal_removal,[],[f2048]) ).
fof(f2048,plain,
( ! [X0] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_229 ),
inference(resolution,[],[f2042,f426]) ).
fof(f5095,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_483
| ~ spl14_46
| ~ spl14_228 ),
inference(avatar_split_clause,[],[f2039,f2023,f425,f5093,f199,f194]) ).
fof(f5093,plain,
( spl14_483
<=> ! [X0] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4),k16_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_483])]) ).
fof(f2039,plain,
( ! [X0] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_228 ),
inference(duplicate_literal_removal,[],[f2026]) ).
fof(f2026,plain,
( ! [X0] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4),k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_228 ),
inference(resolution,[],[f2024,f426]) ).
fof(f5091,plain,
( spl14_482
| ~ spl14_401
| ~ spl14_66
| ~ spl14_402 ),
inference(avatar_split_clause,[],[f4557,f4216,f590,f4212,f5088]) ).
fof(f5088,plain,
( spl14_482
<=> k17_cat_2(k11_cat_2(sK0,sK0),sK0) = k9_isocat_2(k11_cat_2(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_482])]) ).
fof(f4557,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK0))
| k17_cat_2(k11_cat_2(sK0,sK0),sK0) = k9_isocat_2(k11_cat_2(sK0,sK0),sK0)
| ~ spl14_66
| ~ spl14_402 ),
inference(resolution,[],[f4217,f591]) ).
fof(f5054,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_481
| ~ spl14_46
| ~ spl14_221 ),
inference(avatar_split_clause,[],[f1938,f1922,f425,f5052,f199,f194]) ).
fof(f5052,plain,
( spl14_481
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK4)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_481])]) ).
fof(f1938,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK4)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_221 ),
inference(duplicate_literal_removal,[],[f1925]) ).
fof(f1925,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK4) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK4)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_221 ),
inference(resolution,[],[f1923,f426]) ).
fof(f5018,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_480
| ~ spl14_46
| ~ spl14_220 ),
inference(avatar_split_clause,[],[f1897,f1881,f425,f5016,f199,f194]) ).
fof(f5016,plain,
( spl14_480
<=> ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK3)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X1,X2,X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_480])]) ).
fof(f1897,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_220 ),
inference(duplicate_literal_removal,[],[f1884]) ).
fof(f1884,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X2,X0)
| ~ v2_cat_1(X2)
| k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK3) = k5_relat_1(k2_isocat_1(X2,X0,sK0,X1,sK8(X0,sK0)),sK3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_220 ),
inference(resolution,[],[f1882,f426]) ).
fof(f4997,plain,
( spl14_479
| ~ spl14_33
| ~ spl14_215 ),
inference(avatar_split_clause,[],[f1860,f1832,f346,f4995]) ).
fof(f4995,plain,
( spl14_479
<=> ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK5(X0))
| r2_hidden(sK6(sK5(X0)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_479])]) ).
fof(f1860,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK5(X0))
| r2_hidden(sK6(sK5(X0)),X0) )
| ~ spl14_33
| ~ spl14_215 ),
inference(duplicate_literal_removal,[],[f1856]) ).
fof(f1856,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK5(X0))
| v1_xboole_0(X0)
| r2_hidden(sK6(sK5(X0)),X0) )
| ~ spl14_33
| ~ spl14_215 ),
inference(resolution,[],[f1833,f347]) ).
fof(f4969,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_478
| ~ spl14_59
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1912,f1738,f505,f4967,f209,f204,f747,f743]) ).
fof(f4967,plain,
( spl14_478
<=> ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2)) = k5_relat_1(X1,k16_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,k11_cat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_478])]) ).
fof(f505,plain,
( spl14_59
<=> ! [X4,X0,X3,X2,X1] :
( k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
fof(f1912,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2)) = k5_relat_1(X1,k16_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59
| ~ spl14_206 ),
inference(resolution,[],[f1739,f506]) ).
fof(f506,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X1,X2)
| k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f4950,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_477
| ~ spl14_59
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1869,f1705,f505,f4948,f219,f214,f747,f743]) ).
fof(f4948,plain,
( spl14_477
<=> ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2)) = k5_relat_1(X1,k17_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,k11_cat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_477])]) ).
fof(f1869,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2)) = k5_relat_1(X1,k17_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59
| ~ spl14_200 ),
inference(resolution,[],[f1706,f506]) ).
fof(f4946,plain,
( spl14_476
| ~ spl14_45
| ~ spl14_188 ),
inference(avatar_split_clause,[],[f1627,f1624,f421,f4944]) ).
fof(f4944,plain,
( spl14_476
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X0,X1),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_476])]) ).
fof(f1624,plain,
( spl14_188
<=> ! [X0] :
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_188])]) ).
fof(f1627,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X0,X1),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_188 ),
inference(resolution,[],[f1625,f422]) ).
fof(f1625,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),X0)) )
| ~ spl14_188 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f4942,plain,
( spl14_475
| ~ spl14_45
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1617,f1611,f421,f4940]) ).
fof(f4940,plain,
( spl14_475
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X0,X1),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_475])]) ).
fof(f1611,plain,
( spl14_187
<=> ! [X0] :
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_187])]) ).
fof(f1617,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(X0,X1),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1))) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(X0,X1)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_187 ),
inference(resolution,[],[f1612,f422]) ).
fof(f1612,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),X0)) )
| ~ spl14_187 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f4932,plain,
( spl14_474
| ~ spl14_32
| ~ spl14_168 ),
inference(avatar_split_clause,[],[f1494,f1490,f338,f4930]) ).
fof(f4930,plain,
( spl14_474
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_474])]) ).
fof(f338,plain,
( spl14_32
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
fof(f1490,plain,
( spl14_168
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_168])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| sK6(k1_zfmisc_1(X0)) = X1
| ~ v1_xboole_0(X1) )
| ~ spl14_32
| ~ spl14_168 ),
inference(resolution,[],[f1491,f339]) ).
fof(f339,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) )
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f1491,plain,
( ! [X0] :
( v1_xboole_0(sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl14_168 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f4921,plain,
( ~ spl14_86
| spl14_473
| ~ spl14_87
| ~ spl14_256 ),
inference(avatar_split_clause,[],[f2347,f2343,f747,f4919,f743]) ).
fof(f4919,plain,
( spl14_473
<=> ! [X0,X1] :
( k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),sK8(X0,X1),sK8(X1,k11_cat_2(sK1,sK2))) = k5_relat_1(sK8(X0,X1),sK8(X1,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_473])]) ).
fof(f2347,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,X1,k11_cat_2(sK1,sK2),sK8(X0,X1),sK8(X1,k11_cat_2(sK1,sK2))) = k5_relat_1(sK8(X0,X1),sK8(X1,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_87
| ~ spl14_256 ),
inference(resolution,[],[f2344,f748]) ).
fof(f748,plain,
( l1_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_87 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f4910,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_472
| ~ spl14_105
| ~ spl14_206 ),
inference(avatar_split_clause,[],[f1911,f1738,f855,f4908,f209,f204,f747,f743]) ).
fof(f4908,plain,
( spl14_472
<=> ! [X0] :
( k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),sK8(sK1,X0)) = k5_relat_1(k16_cat_2(sK1,sK2),sK8(sK1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_472])]) ).
fof(f855,plain,
( spl14_105
<=> ! [X0,X3,X2,X1] :
( k2_isocat_1(X0,X1,X2,X3,sK8(X1,X2)) = k5_relat_1(X3,sK8(X1,X2))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_105])]) ).
fof(f1911,plain,
( ! [X0] :
( k2_isocat_1(k11_cat_2(sK1,sK2),sK1,X0,k16_cat_2(sK1,sK2),sK8(sK1,X0)) = k5_relat_1(k16_cat_2(sK1,sK2),sK8(sK1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_105
| ~ spl14_206 ),
inference(resolution,[],[f1739,f856]) ).
fof(f856,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,X1)
| k2_isocat_1(X0,X1,X2,X3,sK8(X1,X2)) = k5_relat_1(X3,sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_105 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f4906,plain,
( spl14_471
| ~ spl14_401
| ~ spl14_65
| ~ spl14_402 ),
inference(avatar_split_clause,[],[f4556,f4216,f581,f4212,f4903]) ).
fof(f4903,plain,
( spl14_471
<=> k16_cat_2(k11_cat_2(sK0,sK0),sK2) = k8_isocat_2(k11_cat_2(sK0,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_471])]) ).
fof(f4556,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK0))
| k16_cat_2(k11_cat_2(sK0,sK0),sK2) = k8_isocat_2(k11_cat_2(sK0,sK0),sK2)
| ~ spl14_65
| ~ spl14_402 ),
inference(resolution,[],[f4217,f582]) ).
fof(f4894,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_470
| ~ spl14_105
| ~ spl14_200 ),
inference(avatar_split_clause,[],[f1868,f1705,f855,f4892,f219,f214,f747,f743]) ).
fof(f4892,plain,
( spl14_470
<=> ! [X0] :
( k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),sK8(sK2,X0)) = k5_relat_1(k17_cat_2(sK1,sK2),sK8(sK2,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_470])]) ).
fof(f1868,plain,
( ! [X0] :
( k2_isocat_1(k11_cat_2(sK1,sK2),sK2,X0,k17_cat_2(sK1,sK2),sK8(sK2,X0)) = k5_relat_1(k17_cat_2(sK1,sK2),sK8(sK2,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_105
| ~ spl14_200 ),
inference(resolution,[],[f1706,f856]) ).
fof(f4866,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_469
| ~ spl14_59
| ~ spl14_205 ),
inference(avatar_split_clause,[],[f1920,f1733,f505,f4864,f209,f204,f199,f194]) ).
fof(f4864,plain,
( spl14_469
<=> ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK1,X1,k5_relat_1(sK3,k16_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_469])]) ).
fof(f1920,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK1,X1,k5_relat_1(sK3,k16_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59
| ~ spl14_205 ),
inference(resolution,[],[f1734,f506]) ).
fof(f4855,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_468
| ~ spl14_105
| ~ spl14_205 ),
inference(avatar_split_clause,[],[f1919,f1733,f855,f4853,f209,f204,f199,f194]) ).
fof(f4853,plain,
( spl14_468
<=> ! [X0] :
( k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0)) = k5_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_468])]) ).
fof(f1919,plain,
( ! [X0] :
( k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0)) = k5_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK8(sK1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_105
| ~ spl14_205 ),
inference(resolution,[],[f1734,f856]) ).
fof(f4837,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_467
| ~ spl14_59
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1916,f1750,f505,f4835,f209,f204,f199,f194]) ).
fof(f4835,plain,
( spl14_467
<=> ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK1,X1,k5_relat_1(sK4,k16_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_467])]) ).
fof(f1916,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK1,X1,k5_relat_1(sK4,k16_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59
| ~ spl14_208 ),
inference(resolution,[],[f1751,f506]) ).
fof(f4825,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_466
| ~ spl14_105
| ~ spl14_208 ),
inference(avatar_split_clause,[],[f1915,f1750,f855,f4823,f209,f204,f199,f194]) ).
fof(f4823,plain,
( spl14_466
<=> ! [X0] :
( k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0)) = k5_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_466])]) ).
fof(f1915,plain,
( ! [X0] :
( k2_isocat_1(sK0,sK1,X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0)) = k5_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK8(sK1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_105
| ~ spl14_208 ),
inference(resolution,[],[f1751,f856]) ).
fof(f4807,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_465
| ~ spl14_59
| ~ spl14_199 ),
inference(avatar_split_clause,[],[f1877,f1700,f505,f4805,f219,f214,f199,f194]) ).
fof(f4805,plain,
( spl14_465
<=> ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK2,X1,k5_relat_1(sK3,k17_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_465])]) ).
fof(f1877,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK2,X1,k5_relat_1(sK3,k17_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59
| ~ spl14_199 ),
inference(resolution,[],[f1701,f506]) ).
fof(f4796,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_464
| ~ spl14_105
| ~ spl14_199 ),
inference(avatar_split_clause,[],[f1876,f1700,f855,f4794,f219,f214,f199,f194]) ).
fof(f4794,plain,
( spl14_464
<=> ! [X0] :
( k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0)) = k5_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_464])]) ).
fof(f1876,plain,
( ! [X0] :
( k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0)) = k5_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK8(sK2,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_105
| ~ spl14_199 ),
inference(resolution,[],[f1701,f856]) ).
fof(f4778,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_463
| ~ spl14_59
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1873,f1717,f505,f4776,f219,f214,f199,f194]) ).
fof(f4776,plain,
( spl14_463
<=> ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK2,X1,k5_relat_1(sK4,k17_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_463])]) ).
fof(f1873,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,sK0,sK2,X1,k5_relat_1(sK4,k17_cat_2(sK1,sK2))) = k5_relat_1(X1,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_59
| ~ spl14_202 ),
inference(resolution,[],[f1718,f506]) ).
fof(f4767,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_462
| ~ spl14_105
| ~ spl14_202 ),
inference(avatar_split_clause,[],[f1872,f1717,f855,f4765,f219,f214,f199,f194]) ).
fof(f4765,plain,
( spl14_462
<=> ! [X0] :
( k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0)) = k5_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_462])]) ).
fof(f1872,plain,
( ! [X0] :
( k2_isocat_1(sK0,sK2,X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0)) = k5_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK8(sK2,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_105
| ~ spl14_202 ),
inference(resolution,[],[f1718,f856]) ).
fof(f4763,plain,
( spl14_461
| ~ spl14_401
| ~ spl14_64
| ~ spl14_402 ),
inference(avatar_split_clause,[],[f4555,f4216,f572,f4212,f4760]) ).
fof(f4760,plain,
( spl14_461
<=> k16_cat_2(k11_cat_2(sK0,sK0),sK1) = k8_isocat_2(k11_cat_2(sK0,sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_461])]) ).
fof(f4555,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK0))
| k16_cat_2(k11_cat_2(sK0,sK0),sK1) = k8_isocat_2(k11_cat_2(sK0,sK0),sK1)
| ~ spl14_64
| ~ spl14_402 ),
inference(resolution,[],[f4217,f573]) ).
fof(f4758,plain,
( spl14_460
| ~ spl14_45
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1479,f1476,f421,f4756]) ).
fof(f4756,plain,
( spl14_460
<=> ! [X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(X0,X1),sK0),sK4) = k5_relat_1(sK8(k11_cat_2(X0,X1),sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_460])]) ).
fof(f1476,plain,
( spl14_166
<=> ! [X0] :
( ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4) = k5_relat_1(sK8(X0,sK0),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_166])]) ).
fof(f1479,plain,
( ! [X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(X0,X1),sK0),sK4) = k5_relat_1(sK8(k11_cat_2(X0,X1),sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_166 ),
inference(resolution,[],[f1477,f422]) ).
fof(f1477,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4) = k5_relat_1(sK8(X0,sK0),sK4)
| ~ v2_cat_1(X0) )
| ~ spl14_166 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f4754,plain,
( spl14_459
| ~ spl14_45
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1469,f1466,f421,f4752]) ).
fof(f4752,plain,
( spl14_459
<=> ! [X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(X0,X1),sK0),sK3) = k5_relat_1(sK8(k11_cat_2(X0,X1),sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_459])]) ).
fof(f1466,plain,
( spl14_165
<=> ! [X0] :
( ~ v2_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3) = k5_relat_1(sK8(X0,sK0),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_165])]) ).
fof(f1469,plain,
( ! [X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(X0,X1),sK0),sK3) = k5_relat_1(sK8(k11_cat_2(X0,X1),sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_165 ),
inference(resolution,[],[f1467,f422]) ).
fof(f1467,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3) = k5_relat_1(sK8(X0,sK0),sK3)
| ~ v2_cat_1(X0) )
| ~ spl14_165 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f4750,plain,
( spl14_458
| ~ spl14_73
| ~ spl14_196 ),
inference(avatar_split_clause,[],[f1687,f1679,f659,f4748]) ).
fof(f4748,plain,
( spl14_458
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_458])]) ).
fof(f1679,plain,
( spl14_196
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_196])]) ).
fof(f1687,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK9(X0,X1)) )
| ~ spl14_73
| ~ spl14_196 ),
inference(resolution,[],[f1680,f660]) ).
fof(f1680,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK9(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl14_196 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f4746,plain,
( spl14_457
| ~ spl14_73
| ~ spl14_195 ),
inference(avatar_split_clause,[],[f1686,f1675,f659,f4744]) ).
fof(f4744,plain,
( spl14_457
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_457])]) ).
fof(f1675,plain,
( spl14_195
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_195])]) ).
fof(f1686,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(sK10(X0,X1)) )
| ~ spl14_73
| ~ spl14_195 ),
inference(resolution,[],[f1676,f660]) ).
fof(f1676,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X2,sK10(X0,X1))
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl14_195 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f4736,plain,
( spl14_456
| ~ spl14_86
| ~ spl14_87
| ~ spl14_188 ),
inference(avatar_split_clause,[],[f1628,f1624,f747,f743,f4733]) ).
fof(f4733,plain,
( spl14_456
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_456])]) ).
fof(f1628,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)))
| ~ spl14_87
| ~ spl14_188 ),
inference(resolution,[],[f1625,f748]) ).
fof(f4725,plain,
( spl14_455
| ~ spl14_86
| ~ spl14_87
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1618,f1611,f747,f743,f4722]) ).
fof(f4722,plain,
( spl14_455
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_455])]) ).
fof(f1618,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)))
| ~ spl14_87
| ~ spl14_187 ),
inference(resolution,[],[f1612,f748]) ).
fof(f4715,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_454
| ~ spl14_45
| ~ spl14_186 ),
inference(avatar_split_clause,[],[f1609,f1605,f421,f4713,f199,f194]) ).
fof(f4713,plain,
( spl14_454
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4) = k5_relat_1(k9_isocat_2(X0,sK0),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_454])]) ).
fof(f1605,plain,
( spl14_186
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4) = k5_relat_1(k9_isocat_2(X0,sK0),sK4)
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_186])]) ).
fof(f1609,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4) = k5_relat_1(k9_isocat_2(X0,sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_186 ),
inference(duplicate_literal_removal,[],[f1608]) ).
fof(f1608,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4) = k5_relat_1(k9_isocat_2(X0,sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_186 ),
inference(resolution,[],[f1606,f422]) ).
fof(f1606,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4) = k5_relat_1(k9_isocat_2(X0,sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_186 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f4707,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_453
| ~ spl14_45
| ~ spl14_185 ),
inference(avatar_split_clause,[],[f1603,f1599,f421,f4705,f199,f194]) ).
fof(f4705,plain,
( spl14_453
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4) = k5_relat_1(k8_isocat_2(sK0,X0),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_453])]) ).
fof(f1599,plain,
( spl14_185
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4) = k5_relat_1(k8_isocat_2(sK0,X0),sK4)
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_185])]) ).
fof(f1603,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4) = k5_relat_1(k8_isocat_2(sK0,X0),sK4)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_185 ),
inference(duplicate_literal_removal,[],[f1602]) ).
fof(f1602,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4) = k5_relat_1(k8_isocat_2(sK0,X0),sK4)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_185 ),
inference(resolution,[],[f1600,f422]) ).
fof(f1600,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4) = k5_relat_1(k8_isocat_2(sK0,X0),sK4)
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_185 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f4700,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_452
| ~ spl14_45
| ~ spl14_184 ),
inference(avatar_split_clause,[],[f1597,f1593,f421,f4698,f199,f194]) ).
fof(f4698,plain,
( spl14_452
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4) = k5_relat_1(k17_cat_2(X0,sK0),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_452])]) ).
fof(f1593,plain,
( spl14_184
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4) = k5_relat_1(k17_cat_2(X0,sK0),sK4)
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_184])]) ).
fof(f1597,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4) = k5_relat_1(k17_cat_2(X0,sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_184 ),
inference(duplicate_literal_removal,[],[f1596]) ).
fof(f1596,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4) = k5_relat_1(k17_cat_2(X0,sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_184 ),
inference(resolution,[],[f1594,f422]) ).
fof(f1594,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4) = k5_relat_1(k17_cat_2(X0,sK0),sK4)
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_184 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f4693,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_451
| ~ spl14_45
| ~ spl14_183 ),
inference(avatar_split_clause,[],[f1591,f1587,f421,f4691,f199,f194]) ).
fof(f4691,plain,
( spl14_451
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4) = k5_relat_1(k16_cat_2(sK0,X0),sK4)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_451])]) ).
fof(f1587,plain,
( spl14_183
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4) = k5_relat_1(k16_cat_2(sK0,X0),sK4)
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_183])]) ).
fof(f1591,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4) = k5_relat_1(k16_cat_2(sK0,X0),sK4)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_183 ),
inference(duplicate_literal_removal,[],[f1590]) ).
fof(f1590,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4) = k5_relat_1(k16_cat_2(sK0,X0),sK4)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_183 ),
inference(resolution,[],[f1588,f422]) ).
fof(f1588,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4) = k5_relat_1(k16_cat_2(sK0,X0),sK4)
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_183 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f4685,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_450
| ~ spl14_45
| ~ spl14_181 ),
inference(avatar_split_clause,[],[f1585,f1576,f421,f4683,f199,f194]) ).
fof(f4683,plain,
( spl14_450
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3) = k5_relat_1(k9_isocat_2(X0,sK0),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_450])]) ).
fof(f1576,plain,
( spl14_181
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3) = k5_relat_1(k9_isocat_2(X0,sK0),sK3)
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_181])]) ).
fof(f1585,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3) = k5_relat_1(k9_isocat_2(X0,sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_181 ),
inference(duplicate_literal_removal,[],[f1584]) ).
fof(f1584,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3) = k5_relat_1(k9_isocat_2(X0,sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_181 ),
inference(resolution,[],[f1577,f422]) ).
fof(f1577,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3) = k5_relat_1(k9_isocat_2(X0,sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_181 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f4681,plain,
( spl14_449
| ~ spl14_401
| ~ spl14_53
| ~ spl14_402 ),
inference(avatar_split_clause,[],[f4554,f4216,f463,f4212,f4678]) ).
fof(f4678,plain,
( spl14_449
<=> k16_cat_2(k11_cat_2(sK0,sK0),sK0) = k8_isocat_2(k11_cat_2(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_449])]) ).
fof(f4554,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK0))
| k16_cat_2(k11_cat_2(sK0,sK0),sK0) = k8_isocat_2(k11_cat_2(sK0,sK0),sK0)
| ~ spl14_53
| ~ spl14_402 ),
inference(resolution,[],[f4217,f464]) ).
fof(f4672,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_448
| ~ spl14_45
| ~ spl14_180 ),
inference(avatar_split_clause,[],[f1574,f1570,f421,f4670,f199,f194]) ).
fof(f4670,plain,
( spl14_448
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3) = k5_relat_1(k8_isocat_2(sK0,X0),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_448])]) ).
fof(f1570,plain,
( spl14_180
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3) = k5_relat_1(k8_isocat_2(sK0,X0),sK3)
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_180])]) ).
fof(f1574,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3) = k5_relat_1(k8_isocat_2(sK0,X0),sK3)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_180 ),
inference(duplicate_literal_removal,[],[f1573]) ).
fof(f1573,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3) = k5_relat_1(k8_isocat_2(sK0,X0),sK3)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_180 ),
inference(resolution,[],[f1571,f422]) ).
fof(f1571,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3) = k5_relat_1(k8_isocat_2(sK0,X0),sK3)
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_180 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f4665,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_447
| ~ spl14_45
| ~ spl14_179 ),
inference(avatar_split_clause,[],[f1568,f1564,f421,f4663,f199,f194]) ).
fof(f4663,plain,
( spl14_447
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3) = k5_relat_1(k17_cat_2(X0,sK0),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_447])]) ).
fof(f1564,plain,
( spl14_179
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3) = k5_relat_1(k17_cat_2(X0,sK0),sK3)
| ~ l1_cat_1(k11_cat_2(X0,sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_179])]) ).
fof(f1568,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3) = k5_relat_1(k17_cat_2(X0,sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_179 ),
inference(duplicate_literal_removal,[],[f1567]) ).
fof(f1567,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3) = k5_relat_1(k17_cat_2(X0,sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_179 ),
inference(resolution,[],[f1565,f422]) ).
fof(f1565,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(X0,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3) = k5_relat_1(k17_cat_2(X0,sK0),sK3)
| ~ v2_cat_1(k11_cat_2(X0,sK0)) )
| ~ spl14_179 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f4658,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_446
| ~ spl14_45
| ~ spl14_178 ),
inference(avatar_split_clause,[],[f1562,f1558,f421,f4656,f199,f194]) ).
fof(f4656,plain,
( spl14_446
<=> ! [X0] :
( ~ v2_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3) = k5_relat_1(k16_cat_2(sK0,X0),sK3)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_446])]) ).
fof(f1558,plain,
( spl14_178
<=> ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3) = k5_relat_1(k16_cat_2(sK0,X0),sK3)
| ~ l1_cat_1(k11_cat_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_178])]) ).
fof(f1562,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3) = k5_relat_1(k16_cat_2(sK0,X0),sK3)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_178 ),
inference(duplicate_literal_removal,[],[f1561]) ).
fof(f1561,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3) = k5_relat_1(k16_cat_2(sK0,X0),sK3)
| ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_45
| ~ spl14_178 ),
inference(resolution,[],[f1559,f422]) ).
fof(f1559,plain,
( ! [X0] :
( ~ l1_cat_1(k11_cat_2(sK0,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3) = k5_relat_1(k16_cat_2(sK0,X0),sK3)
| ~ v2_cat_1(k11_cat_2(sK0,X0)) )
| ~ spl14_178 ),
inference(avatar_component_clause,[],[f1558]) ).
fof(f4648,plain,
( spl14_445
| ~ spl14_69
| ~ spl14_168 ),
inference(avatar_split_clause,[],[f1493,f1490,f621,f4646]) ).
fof(f4646,plain,
( spl14_445
<=> ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = sK6(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_445])]) ).
fof(f1493,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| sK13 = sK6(k1_zfmisc_1(X0)) )
| ~ spl14_69
| ~ spl14_168 ),
inference(resolution,[],[f1491,f622]) ).
fof(f4637,plain,
( ~ spl14_5
| spl14_444
| ~ spl14_6
| ~ spl14_256 ),
inference(avatar_split_clause,[],[f2350,f2343,f219,f4635,f214]) ).
fof(f4635,plain,
( spl14_444
<=> ! [X0,X1] :
( k2_isocat_1(X0,X1,sK2,sK8(X0,X1),sK8(X1,sK2)) = k5_relat_1(sK8(X0,X1),sK8(X1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_444])]) ).
fof(f2350,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,X1,sK2,sK8(X0,X1),sK8(X1,sK2)) = k5_relat_1(sK8(X0,X1),sK8(X1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_256 ),
inference(resolution,[],[f2344,f221]) ).
fof(f4626,plain,
( ~ spl14_3
| spl14_443
| ~ spl14_4
| ~ spl14_256 ),
inference(avatar_split_clause,[],[f2349,f2343,f209,f4624,f204]) ).
fof(f4624,plain,
( spl14_443
<=> ! [X0,X1] :
( k2_isocat_1(X0,X1,sK1,sK8(X0,X1),sK8(X1,sK1)) = k5_relat_1(sK8(X0,X1),sK8(X1,sK1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_443])]) ).
fof(f2349,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,X1,sK1,sK8(X0,X1),sK8(X1,sK1)) = k5_relat_1(sK8(X0,X1),sK8(X1,sK1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_256 ),
inference(resolution,[],[f2344,f211]) ).
fof(f4615,plain,
( ~ spl14_1
| spl14_442
| ~ spl14_2
| ~ spl14_256 ),
inference(avatar_split_clause,[],[f2348,f2343,f199,f4613,f194]) ).
fof(f4613,plain,
( spl14_442
<=> ! [X0,X1] :
( k2_isocat_1(X0,X1,sK0,sK8(X0,X1),sK8(X1,sK0)) = k5_relat_1(sK8(X0,X1),sK8(X1,sK0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_442])]) ).
fof(f2348,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,X1,sK0,sK8(X0,X1),sK8(X1,sK0)) = k5_relat_1(sK8(X0,X1),sK8(X1,sK0))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_256 ),
inference(resolution,[],[f2344,f201]) ).
fof(f4594,plain,
( ~ spl14_86
| spl14_441
| ~ spl14_87
| ~ spl14_255 ),
inference(avatar_split_clause,[],[f2337,f2326,f747,f4592,f743]) ).
fof(f4592,plain,
( spl14_441
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k17_cat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2))) = k9_isocat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_441])]) ).
fof(f2337,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2))) = k9_isocat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_87
| ~ spl14_255 ),
inference(resolution,[],[f2327,f748]) ).
fof(f4589,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_440
| ~ spl14_8
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2292,f2288,f229,f4587,f747,f743,f199,f194]) ).
fof(f4587,plain,
( spl14_440
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))))
| ~ r2_hidden(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_440])]) ).
fof(f2292,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))))
| ~ r2_hidden(X0,sK4)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_253 ),
inference(resolution,[],[f2289,f231]) ).
fof(f4542,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_439
| ~ spl14_7
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2291,f2288,f224,f4540,f747,f743,f199,f194]) ).
fof(f2291,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(k11_cat_2(sK1,sK2))))
| ~ r2_hidden(X0,sK3)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_253 ),
inference(resolution,[],[f2289,f226]) ).
fof(f4537,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_438
| ~ spl14_205
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2296,f2288,f1733,f4535,f209,f204,f199,f194]) ).
fof(f2296,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1)))
| ~ r2_hidden(X0,k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_205
| ~ spl14_253 ),
inference(resolution,[],[f2289,f1734]) ).
fof(f4532,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_437
| ~ spl14_208
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2295,f2288,f1750,f4530,f209,f204,f199,f194]) ).
fof(f2295,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK1)))
| ~ r2_hidden(X0,k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_208
| ~ spl14_253 ),
inference(resolution,[],[f2289,f1751]) ).
fof(f4527,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_436
| ~ spl14_199
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2294,f2288,f1700,f4525,f219,f214,f199,f194]) ).
fof(f2294,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2)))
| ~ r2_hidden(X0,k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_199
| ~ spl14_253 ),
inference(resolution,[],[f2289,f1701]) ).
fof(f4522,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_435
| ~ spl14_202
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2293,f2288,f1717,f4520,f219,f214,f199,f194]) ).
fof(f2293,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(sK0),u2_cat_1(sK2)))
| ~ r2_hidden(X0,k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_202
| ~ spl14_253 ),
inference(resolution,[],[f2289,f1718]) ).
fof(f4518,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_45
| spl14_402 ),
inference(avatar_split_clause,[],[f4312,f4216,f421,f199,f194]) ).
fof(f4312,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_45
| spl14_402 ),
inference(duplicate_literal_removal,[],[f4311]) ).
fof(f4311,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_45
| spl14_402 ),
inference(resolution,[],[f4218,f422]) ).
fof(f4218,plain,
( ~ l1_cat_1(k11_cat_2(sK0,sK0))
| spl14_402 ),
inference(avatar_component_clause,[],[f4216]) ).
fof(f4511,plain,
( ~ spl14_86
| spl14_434
| ~ spl14_87
| ~ spl14_254 ),
inference(avatar_split_clause,[],[f2330,f2322,f747,f4509,f743]) ).
fof(f4509,plain,
( spl14_434
<=> ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| k16_cat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2))) = k8_isocat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_434])]) ).
fof(f2330,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2))) = k8_isocat_2(X0,k11_cat_2(X1,k11_cat_2(sK1,sK2)))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_87
| ~ spl14_254 ),
inference(resolution,[],[f2323,f748]) ).
fof(f4507,plain,
( spl14_433
| ~ spl14_45
| ~ spl14_157 ),
inference(avatar_split_clause,[],[f1407,f1404,f421,f4505]) ).
fof(f4505,plain,
( spl14_433
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2)) = k9_isocat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_433])]) ).
fof(f1404,plain,
( spl14_157
<=> ! [X0] :
( k17_cat_2(X0,k11_cat_2(sK1,sK2)) = k9_isocat_2(X0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_157])]) ).
fof(f1407,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2)) = k9_isocat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_157 ),
inference(resolution,[],[f1405,f422]) ).
fof(f1405,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(sK1,sK2)) = k9_isocat_2(X0,k11_cat_2(sK1,sK2)) )
| ~ spl14_157 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f4503,plain,
( spl14_432
| ~ spl14_45
| ~ spl14_156 ),
inference(avatar_split_clause,[],[f1397,f1394,f421,f4501]) ).
fof(f4501,plain,
( spl14_432
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2)) = k8_isocat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_432])]) ).
fof(f1394,plain,
( spl14_156
<=> ! [X0] :
( k16_cat_2(X0,k11_cat_2(sK1,sK2)) = k8_isocat_2(X0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_156])]) ).
fof(f1397,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2)) = k8_isocat_2(k11_cat_2(X0,X1),k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_156 ),
inference(resolution,[],[f1395,f422]) ).
fof(f1395,plain,
( ! [X0] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(sK1,sK2)) = k8_isocat_2(X0,k11_cat_2(sK1,sK2)) )
| ~ spl14_156 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f4498,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_431
| ~ spl14_200
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2309,f2288,f1705,f4496,f219,f214,f747,f743]) ).
fof(f4496,plain,
( spl14_431
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(sK1,sK2)),u2_cat_1(sK2)))
| ~ r2_hidden(X0,k17_cat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_431])]) ).
fof(f2309,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(sK1,sK2)),u2_cat_1(sK2)))
| ~ r2_hidden(X0,k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_200
| ~ spl14_253 ),
inference(resolution,[],[f2289,f1706]) ).
fof(f4493,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_430
| ~ spl14_206
| ~ spl14_253 ),
inference(avatar_split_clause,[],[f2308,f2288,f1738,f4491,f209,f204,f747,f743]) ).
fof(f4491,plain,
( spl14_430
<=> ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(sK1,sK2)),u2_cat_1(sK1)))
| ~ r2_hidden(X0,k16_cat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_430])]) ).
fof(f2308,plain,
( ! [X0] :
( m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(k11_cat_2(sK1,sK2)),u2_cat_1(sK1)))
| ~ r2_hidden(X0,k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2)) )
| ~ spl14_206
| ~ spl14_253 ),
inference(resolution,[],[f2289,f1739]) ).
fof(f4483,plain,
( ~ spl14_86
| spl14_429
| ~ spl14_87
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1480,f1476,f747,f4480,f743]) ).
fof(f4480,plain,
( spl14_429
<=> k2_isocat_1(k11_cat_2(sK1,sK2),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(sK1,sK2),sK0),sK4) = k5_relat_1(sK8(k11_cat_2(sK1,sK2),sK0),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_429])]) ).
fof(f1480,plain,
( k2_isocat_1(k11_cat_2(sK1,sK2),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(sK1,sK2),sK0),sK4) = k5_relat_1(sK8(k11_cat_2(sK1,sK2),sK0),sK4)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_87
| ~ spl14_166 ),
inference(resolution,[],[f1477,f748]) ).
fof(f4472,plain,
( ~ spl14_86
| spl14_428
| ~ spl14_87
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1470,f1466,f747,f4469,f743]) ).
fof(f4469,plain,
( spl14_428
<=> k2_isocat_1(k11_cat_2(sK1,sK2),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(sK1,sK2),sK0),sK3) = k5_relat_1(sK8(k11_cat_2(sK1,sK2),sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_428])]) ).
fof(f1470,plain,
( k2_isocat_1(k11_cat_2(sK1,sK2),sK0,k11_cat_2(sK1,sK2),sK8(k11_cat_2(sK1,sK2),sK0),sK3) = k5_relat_1(sK8(k11_cat_2(sK1,sK2),sK0),sK3)
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_87
| ~ spl14_165 ),
inference(resolution,[],[f1467,f748]) ).
fof(f4460,plain,
( spl14_427
| ~ spl14_5
| ~ spl14_6
| ~ spl14_188 ),
inference(avatar_split_clause,[],[f1631,f1624,f219,f214,f4457]) ).
fof(f4457,plain,
( spl14_427
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,sK8(k11_cat_2(sK1,sK2),sK2)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_427])]) ).
fof(f1631,plain,
( ~ v2_cat_1(sK2)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,sK8(k11_cat_2(sK1,sK2),sK2)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),sK2))
| ~ spl14_6
| ~ spl14_188 ),
inference(resolution,[],[f1625,f221]) ).
fof(f4448,plain,
( spl14_426
| ~ spl14_3
| ~ spl14_4
| ~ spl14_188 ),
inference(avatar_split_clause,[],[f1630,f1624,f209,f204,f4445]) ).
fof(f4445,plain,
( spl14_426
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,sK8(k11_cat_2(sK1,sK2),sK1)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_426])]) ).
fof(f1630,plain,
( ~ v2_cat_1(sK1)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,sK8(k11_cat_2(sK1,sK2),sK1)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),sK1))
| ~ spl14_4
| ~ spl14_188 ),
inference(resolution,[],[f1625,f211]) ).
fof(f4437,plain,
( spl14_425
| ~ spl14_1
| ~ spl14_2
| ~ spl14_188 ),
inference(avatar_split_clause,[],[f1629,f1624,f199,f194,f4434]) ).
fof(f4434,plain,
( spl14_425
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK0,sK4,sK8(k11_cat_2(sK1,sK2),sK0)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_425])]) ).
fof(f1629,plain,
( ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK0,sK4,sK8(k11_cat_2(sK1,sK2),sK0)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),sK0))
| ~ spl14_2
| ~ spl14_188 ),
inference(resolution,[],[f1625,f201]) ).
fof(f4425,plain,
( spl14_424
| ~ spl14_5
| ~ spl14_6
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1621,f1611,f219,f214,f4422]) ).
fof(f4422,plain,
( spl14_424
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,sK8(k11_cat_2(sK1,sK2),sK2)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_424])]) ).
fof(f1621,plain,
( ~ v2_cat_1(sK2)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,sK8(k11_cat_2(sK1,sK2),sK2)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),sK2))
| ~ spl14_6
| ~ spl14_187 ),
inference(resolution,[],[f1612,f221]) ).
fof(f4420,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_44
| spl14_401 ),
inference(avatar_split_clause,[],[f4267,f4212,f417,f199,f194]) ).
fof(f4267,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_44
| spl14_401 ),
inference(duplicate_literal_removal,[],[f4266]) ).
fof(f4266,plain,
( ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_44
| spl14_401 ),
inference(resolution,[],[f4214,f418]) ).
fof(f4214,plain,
( ~ v2_cat_1(k11_cat_2(sK0,sK0))
| spl14_401 ),
inference(avatar_component_clause,[],[f4212]) ).
fof(f4412,plain,
( spl14_423
| ~ spl14_3
| ~ spl14_4
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1620,f1611,f209,f204,f4409]) ).
fof(f4409,plain,
( spl14_423
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,sK8(k11_cat_2(sK1,sK2),sK1)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_423])]) ).
fof(f1620,plain,
( ~ v2_cat_1(sK1)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,sK8(k11_cat_2(sK1,sK2),sK1)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),sK1))
| ~ spl14_4
| ~ spl14_187 ),
inference(resolution,[],[f1612,f211]) ).
fof(f4401,plain,
( spl14_422
| ~ spl14_1
| ~ spl14_2
| ~ spl14_187 ),
inference(avatar_split_clause,[],[f1619,f1611,f199,f194,f4398]) ).
fof(f4398,plain,
( spl14_422
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK0,sK3,sK8(k11_cat_2(sK1,sK2),sK0)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_422])]) ).
fof(f1619,plain,
( ~ v2_cat_1(sK0)
| k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK0,sK3,sK8(k11_cat_2(sK1,sK2),sK0)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),sK0))
| ~ spl14_2
| ~ spl14_187 ),
inference(resolution,[],[f1612,f201]) ).
fof(f4390,plain,
( ~ spl14_5
| spl14_421
| ~ spl14_6
| ~ spl14_255 ),
inference(avatar_split_clause,[],[f2340,f2326,f219,f4388,f214]) ).
fof(f2340,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,sK2)) = k9_isocat_2(X0,k11_cat_2(X1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_6
| ~ spl14_255 ),
inference(resolution,[],[f2327,f221]) ).
fof(f4380,plain,
( ~ spl14_3
| spl14_420
| ~ spl14_4
| ~ spl14_255 ),
inference(avatar_split_clause,[],[f2339,f2326,f209,f4378,f204]) ).
fof(f2339,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,sK1)) = k9_isocat_2(X0,k11_cat_2(X1,sK1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_4
| ~ spl14_255 ),
inference(resolution,[],[f2327,f211]) ).
fof(f4370,plain,
( ~ spl14_1
| spl14_419
| ~ spl14_2
| ~ spl14_255 ),
inference(avatar_split_clause,[],[f2338,f2326,f199,f4368,f194]) ).
fof(f2338,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k17_cat_2(X0,k11_cat_2(X1,sK0)) = k9_isocat_2(X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_2
| ~ spl14_255 ),
inference(resolution,[],[f2327,f201]) ).
fof(f4360,plain,
( ~ spl14_5
| spl14_418
| ~ spl14_6
| ~ spl14_254 ),
inference(avatar_split_clause,[],[f2333,f2322,f219,f4358,f214]) ).
fof(f2333,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,sK2)) = k8_isocat_2(X0,k11_cat_2(X1,sK2))
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_6
| ~ spl14_254 ),
inference(resolution,[],[f2323,f221]) ).
fof(f4350,plain,
( ~ spl14_3
| spl14_417
| ~ spl14_4
| ~ spl14_254 ),
inference(avatar_split_clause,[],[f2332,f2322,f209,f4348,f204]) ).
fof(f2332,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,sK1)) = k8_isocat_2(X0,k11_cat_2(X1,sK1))
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_4
| ~ spl14_254 ),
inference(resolution,[],[f2323,f211]) ).
fof(f4340,plain,
( ~ spl14_1
| spl14_416
| ~ spl14_2
| ~ spl14_254 ),
inference(avatar_split_clause,[],[f2331,f2322,f199,f4338,f194]) ).
fof(f2331,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k16_cat_2(X0,k11_cat_2(X1,sK0)) = k8_isocat_2(X0,k11_cat_2(X1,sK0))
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_2
| ~ spl14_254 ),
inference(resolution,[],[f2323,f201]) ).
fof(f4298,plain,
( spl14_415
| ~ spl14_44
| ~ spl14_163 ),
inference(avatar_split_clause,[],[f1464,f1439,f417,f4296]) ).
fof(f1439,plain,
( spl14_163
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK2) = k9_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_163])]) ).
fof(f1464,plain,
( ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK2) = k9_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_163 ),
inference(duplicate_literal_removal,[],[f1462]) ).
fof(f1462,plain,
( ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK2) = k9_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_163 ),
inference(resolution,[],[f1440,f418]) ).
fof(f1440,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK2) = k9_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_163 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f4294,plain,
( spl14_414
| ~ spl14_44
| ~ spl14_162 ),
inference(avatar_split_clause,[],[f1461,f1435,f417,f4292]) ).
fof(f1435,plain,
( spl14_162
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK1) = k9_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_162])]) ).
fof(f1461,plain,
( ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK1) = k9_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_162 ),
inference(duplicate_literal_removal,[],[f1459]) ).
fof(f1459,plain,
( ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK1) = k9_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_162 ),
inference(resolution,[],[f1436,f418]) ).
fof(f1436,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK1) = k9_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_162 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f4290,plain,
( spl14_413
| ~ spl14_44
| ~ spl14_161 ),
inference(avatar_split_clause,[],[f1453,f1431,f417,f4288]) ).
fof(f1431,plain,
( spl14_161
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK0) = k9_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_161])]) ).
fof(f1453,plain,
( ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK0) = k9_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_161 ),
inference(duplicate_literal_removal,[],[f1451]) ).
fof(f1451,plain,
( ! [X0,X1] :
( k17_cat_2(k11_cat_2(X0,X1),sK0) = k9_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_161 ),
inference(resolution,[],[f1432,f418]) ).
fof(f1432,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK0) = k9_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_161 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f4286,plain,
( spl14_412
| ~ spl14_44
| ~ spl14_160 ),
inference(avatar_split_clause,[],[f1450,f1427,f417,f4284]) ).
fof(f1427,plain,
( spl14_160
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK2) = k8_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_160])]) ).
fof(f1450,plain,
( ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK2) = k8_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_160 ),
inference(duplicate_literal_removal,[],[f1448]) ).
fof(f1448,plain,
( ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK2) = k8_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_160 ),
inference(resolution,[],[f1428,f418]) ).
fof(f1428,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK2) = k8_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_160 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f4282,plain,
( spl14_411
| ~ spl14_44
| ~ spl14_159 ),
inference(avatar_split_clause,[],[f1447,f1423,f417,f4280]) ).
fof(f1423,plain,
( spl14_159
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK1) = k8_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_159])]) ).
fof(f1447,plain,
( ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK1) = k8_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_159 ),
inference(duplicate_literal_removal,[],[f1445]) ).
fof(f1445,plain,
( ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK1) = k8_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_159 ),
inference(resolution,[],[f1424,f418]) ).
fof(f1424,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK1) = k8_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_159 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f4278,plain,
( spl14_410
| ~ spl14_44
| ~ spl14_158 ),
inference(avatar_split_clause,[],[f1444,f1419,f417,f4276]) ).
fof(f1419,plain,
( spl14_158
<=> ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK0) = k8_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_158])]) ).
fof(f1444,plain,
( ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK0) = k8_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_158 ),
inference(duplicate_literal_removal,[],[f1442]) ).
fof(f1442,plain,
( ! [X0,X1] :
( k16_cat_2(k11_cat_2(X0,X1),sK0) = k8_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_44
| ~ spl14_158 ),
inference(resolution,[],[f1420,f418]) ).
fof(f1420,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK0) = k8_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_158 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f4272,plain,
( spl14_409
| ~ spl14_86
| ~ spl14_87
| ~ spl14_157 ),
inference(avatar_split_clause,[],[f1408,f1404,f747,f743,f4269]) ).
fof(f4269,plain,
( spl14_409
<=> k17_cat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)) = k9_isocat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_409])]) ).
fof(f1408,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k17_cat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)) = k9_isocat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))
| ~ spl14_87
| ~ spl14_157 ),
inference(resolution,[],[f1405,f748]) ).
fof(f4263,plain,
( spl14_408
| ~ spl14_86
| ~ spl14_87
| ~ spl14_156 ),
inference(avatar_split_clause,[],[f1398,f1394,f747,f743,f4260]) ).
fof(f4260,plain,
( spl14_408
<=> k16_cat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)) = k8_isocat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_408])]) ).
fof(f1398,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k16_cat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2)) = k8_isocat_2(k11_cat_2(sK1,sK2),k11_cat_2(sK1,sK2))
| ~ spl14_87
| ~ spl14_156 ),
inference(resolution,[],[f1395,f748]) ).
fof(f4255,plain,
( ~ spl14_5
| spl14_407
| ~ spl14_6
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1483,f1476,f219,f4252,f214]) ).
fof(f4252,plain,
( spl14_407
<=> k2_isocat_1(sK2,sK0,k11_cat_2(sK1,sK2),sK8(sK2,sK0),sK4) = k5_relat_1(sK8(sK2,sK0),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_407])]) ).
fof(f1483,plain,
( k2_isocat_1(sK2,sK0,k11_cat_2(sK1,sK2),sK8(sK2,sK0),sK4) = k5_relat_1(sK8(sK2,sK0),sK4)
| ~ v2_cat_1(sK2)
| ~ spl14_6
| ~ spl14_166 ),
inference(resolution,[],[f1477,f221]) ).
fof(f4247,plain,
( ~ spl14_3
| spl14_406
| ~ spl14_4
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1482,f1476,f209,f4244,f204]) ).
fof(f4244,plain,
( spl14_406
<=> k2_isocat_1(sK1,sK0,k11_cat_2(sK1,sK2),sK8(sK1,sK0),sK4) = k5_relat_1(sK8(sK1,sK0),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_406])]) ).
fof(f1482,plain,
( k2_isocat_1(sK1,sK0,k11_cat_2(sK1,sK2),sK8(sK1,sK0),sK4) = k5_relat_1(sK8(sK1,sK0),sK4)
| ~ v2_cat_1(sK1)
| ~ spl14_4
| ~ spl14_166 ),
inference(resolution,[],[f1477,f211]) ).
fof(f4236,plain,
( ~ spl14_1
| spl14_405
| ~ spl14_2
| ~ spl14_166 ),
inference(avatar_split_clause,[],[f1481,f1476,f199,f4233,f194]) ).
fof(f4233,plain,
( spl14_405
<=> k2_isocat_1(sK0,sK0,k11_cat_2(sK1,sK2),sK8(sK0,sK0),sK4) = k5_relat_1(sK8(sK0,sK0),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_405])]) ).
fof(f1481,plain,
( k2_isocat_1(sK0,sK0,k11_cat_2(sK1,sK2),sK8(sK0,sK0),sK4) = k5_relat_1(sK8(sK0,sK0),sK4)
| ~ v2_cat_1(sK0)
| ~ spl14_2
| ~ spl14_166 ),
inference(resolution,[],[f1477,f201]) ).
fof(f4228,plain,
( ~ spl14_5
| spl14_404
| ~ spl14_6
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1473,f1466,f219,f4225,f214]) ).
fof(f4225,plain,
( spl14_404
<=> k2_isocat_1(sK2,sK0,k11_cat_2(sK1,sK2),sK8(sK2,sK0),sK3) = k5_relat_1(sK8(sK2,sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_404])]) ).
fof(f1473,plain,
( k2_isocat_1(sK2,sK0,k11_cat_2(sK1,sK2),sK8(sK2,sK0),sK3) = k5_relat_1(sK8(sK2,sK0),sK3)
| ~ v2_cat_1(sK2)
| ~ spl14_6
| ~ spl14_165 ),
inference(resolution,[],[f1467,f221]) ).
fof(f4223,plain,
( ~ spl14_401
| ~ spl14_402
| ~ spl14_1
| ~ spl14_2
| spl14_403
| ~ spl14_153
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2008,f1991,f1377,f4220,f199,f194,f4216,f4212]) ).
fof(f4220,plain,
( spl14_403
<=> v1_relat_1(k16_cat_2(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_403])]) ).
fof(f1377,plain,
( spl14_153
<=> m2_cat_1(k16_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_153])]) ).
fof(f2008,plain,
( v1_relat_1(k16_cat_2(sK0,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(k11_cat_2(sK0,sK0))
| ~ v2_cat_1(k11_cat_2(sK0,sK0))
| ~ spl14_153
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1379]) ).
fof(f1379,plain,
( m2_cat_1(k16_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0)
| ~ spl14_153 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f4207,plain,
( ~ spl14_3
| spl14_400
| ~ spl14_4
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1472,f1466,f209,f4204,f204]) ).
fof(f4204,plain,
( spl14_400
<=> k2_isocat_1(sK1,sK0,k11_cat_2(sK1,sK2),sK8(sK1,sK0),sK3) = k5_relat_1(sK8(sK1,sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_400])]) ).
fof(f1472,plain,
( k2_isocat_1(sK1,sK0,k11_cat_2(sK1,sK2),sK8(sK1,sK0),sK3) = k5_relat_1(sK8(sK1,sK0),sK3)
| ~ v2_cat_1(sK1)
| ~ spl14_4
| ~ spl14_165 ),
inference(resolution,[],[f1467,f211]) ).
fof(f4196,plain,
( ~ spl14_1
| spl14_399
| ~ spl14_2
| ~ spl14_165 ),
inference(avatar_split_clause,[],[f1471,f1466,f199,f4193,f194]) ).
fof(f4193,plain,
( spl14_399
<=> k2_isocat_1(sK0,sK0,k11_cat_2(sK1,sK2),sK8(sK0,sK0),sK3) = k5_relat_1(sK8(sK0,sK0),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_399])]) ).
fof(f1471,plain,
( k2_isocat_1(sK0,sK0,k11_cat_2(sK1,sK2),sK8(sK0,sK0),sK3) = k5_relat_1(sK8(sK0,sK0),sK3)
| ~ v2_cat_1(sK0)
| ~ spl14_2
| ~ spl14_165 ),
inference(resolution,[],[f1467,f201]) ).
fof(f4191,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_398
| ~ spl14_200
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2012,f1991,f1705,f4188,f219,f214,f747,f743]) ).
fof(f4188,plain,
( spl14_398
<=> v1_relat_1(k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_398])]) ).
fof(f2012,plain,
( v1_relat_1(k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_200
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1706]) ).
fof(f4186,plain,
( ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_397
| ~ spl14_206
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f2011,f1991,f1738,f4183,f209,f204,f747,f743]) ).
fof(f4183,plain,
( spl14_397
<=> v1_relat_1(k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_397])]) ).
fof(f2011,plain,
( v1_relat_1(k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ spl14_206
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1739]) ).
fof(f4180,plain,
( spl14_396
| ~ spl14_78
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f1323,f1318,f689,f4177]) ).
fof(f4177,plain,
( spl14_396
<=> k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_396])]) ).
fof(f1323,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k17_cat_2(sK1,sK2))
| ~ spl14_78
| ~ spl14_143 ),
inference(superposition,[],[f691,f1320]) ).
fof(f4174,plain,
( spl14_395
| ~ spl14_79
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f1322,f1318,f697,f4171]) ).
fof(f4171,plain,
( spl14_395
<=> k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_395])]) ).
fof(f1322,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k17_cat_2(sK1,sK2))
| ~ spl14_79
| ~ spl14_143 ),
inference(superposition,[],[f699,f1320]) ).
fof(f4168,plain,
( spl14_394
| ~ spl14_80
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1264,f1259,f705,f4165]) ).
fof(f4165,plain,
( spl14_394
<=> k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_394])]) ).
fof(f1264,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k16_cat_2(sK1,sK2))
| ~ spl14_80
| ~ spl14_134 ),
inference(superposition,[],[f707,f1261]) ).
fof(f4162,plain,
( spl14_393
| ~ spl14_82
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1263,f1259,f718,f4159]) ).
fof(f4159,plain,
( spl14_393
<=> k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_393])]) ).
fof(f1263,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k16_cat_2(sK1,sK2))
| ~ spl14_82
| ~ spl14_134 ),
inference(superposition,[],[f720,f1261]) ).
fof(f4157,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_392
| ~ spl14_205
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f1999,f1991,f1733,f4154,f209,f204,f199,f194]) ).
fof(f4154,plain,
( spl14_392
<=> v1_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_392])]) ).
fof(f1999,plain,
( v1_relat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_205
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1734]) ).
fof(f4152,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| spl14_391
| ~ spl14_208
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f1998,f1991,f1750,f4149,f209,f204,f199,f194]) ).
fof(f4149,plain,
( spl14_391
<=> v1_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_391])]) ).
fof(f1998,plain,
( v1_relat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_208
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1751]) ).
fof(f4117,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_390
| ~ spl14_199
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f1997,f1991,f1700,f4114,f219,f214,f199,f194]) ).
fof(f4114,plain,
( spl14_390
<=> v1_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_390])]) ).
fof(f1997,plain,
( v1_relat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_199
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1701]) ).
fof(f4110,plain,
( spl14_389
| ~ spl14_52
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1142,f1095,f459,f4108]) ).
fof(f1095,plain,
( spl14_120
<=> ! [X4,X0,X3,X2,X1] :
( k11_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_120])]) ).
fof(f1142,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_120 ),
inference(resolution,[],[f1096,f460]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_120 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f4106,plain,
( spl14_388
| ~ spl14_51
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1141,f1095,f455,f4104]) ).
fof(f1141,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_120 ),
inference(resolution,[],[f1096,f456]) ).
fof(f4102,plain,
( spl14_387
| ~ spl14_50
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1140,f1095,f451,f4100]) ).
fof(f1140,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_120 ),
inference(resolution,[],[f1096,f452]) ).
fof(f4098,plain,
( spl14_386
| ~ spl14_49
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1139,f1095,f447,f4096]) ).
fof(f1139,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X1,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_120 ),
inference(resolution,[],[f1096,f448]) ).
fof(f4094,plain,
( spl14_385
| ~ spl14_52
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1130,f1091,f459,f4092]) ).
fof(f1091,plain,
( spl14_119
<=> ! [X4,X0,X3,X2,X1] :
( k11_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_119])]) ).
fof(f1130,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_119 ),
inference(resolution,[],[f1092,f460]) ).
fof(f1092,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_119 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f4090,plain,
( spl14_384
| ~ spl14_51
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1129,f1091,f455,f4088]) ).
fof(f1129,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_119 ),
inference(resolution,[],[f1092,f456]) ).
fof(f4086,plain,
( spl14_383
| ~ spl14_50
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1128,f1091,f451,f4084]) ).
fof(f1128,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_119 ),
inference(resolution,[],[f1092,f452]) ).
fof(f4082,plain,
( spl14_382
| ~ spl14_49
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1127,f1091,f447,f4080]) ).
fof(f1127,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k11_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X1,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_119 ),
inference(resolution,[],[f1092,f448]) ).
fof(f4078,plain,
( spl14_381
| ~ spl14_52
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1118,f1087,f459,f4076]) ).
fof(f1087,plain,
( spl14_118
<=> ! [X4,X0,X3,X2,X1] :
( k12_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_118])]) ).
fof(f1118,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k9_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_118 ),
inference(resolution,[],[f1088,f460]) ).
fof(f1088,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_118 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f4074,plain,
( spl14_380
| ~ spl14_51
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1117,f1087,f455,f4072]) ).
fof(f1117,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k8_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_51
| ~ spl14_118 ),
inference(resolution,[],[f1088,f456]) ).
fof(f4070,plain,
( spl14_379
| ~ spl14_50
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1116,f1087,f451,f4068]) ).
fof(f1116,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),X1,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3)),k11_cat_2(X1,X0),X3,k17_cat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_118 ),
inference(resolution,[],[f1088,f452]) ).
fof(f4066,plain,
( spl14_378
| ~ spl14_49
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1115,f1087,f447,f4064]) ).
fof(f1115,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),X1,X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X0,k11_isocat_2(k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3),k11_cat_2(X1,X0),X2,k16_cat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2)) )
| ~ spl14_49
| ~ spl14_118 ),
inference(resolution,[],[f1088,f448]) ).
fof(f4062,plain,
( spl14_377
| ~ spl14_52
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1105,f1083,f459,f4060]) ).
fof(f1083,plain,
( spl14_117
<=> ! [X4,X0,X3,X2,X1] :
( k12_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_117])]) ).
fof(f1105,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k9_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_117 ),
inference(resolution,[],[f1084,f460]) ).
fof(f1084,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_117 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f4058,plain,
( spl14_376
| ~ spl14_51
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1104,f1083,f455,f4056]) ).
fof(f1104,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k8_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_51
| ~ spl14_117 ),
inference(resolution,[],[f1084,f456]) ).
fof(f4054,plain,
( spl14_375
| ~ spl14_50
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1103,f1083,f451,f4052]) ).
fof(f1103,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X1,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0))),X3,k11_cat_2(X1,X0),k17_cat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_117 ),
inference(resolution,[],[f1084,f452]) ).
fof(f4050,plain,
( spl14_374
| ~ spl14_49
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1102,f1083,f447,f4048]) ).
fof(f1102,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))
| k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X1,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3))) = k2_isocat_1(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),k11_cat_2(X1,X0),X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3),X2,k11_cat_2(X1,X0),k16_cat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X3)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0))) )
| ~ spl14_49
| ~ spl14_117 ),
inference(resolution,[],[f1084,f448]) ).
fof(f3998,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_5
| ~ spl14_6
| spl14_373
| ~ spl14_202
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f1996,f1991,f1717,f3995,f219,f214,f199,f194]) ).
fof(f3995,plain,
( spl14_373
<=> v1_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_373])]) ).
fof(f1996,plain,
( v1_relat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_202
| ~ spl14_227 ),
inference(resolution,[],[f1992,f1718]) ).
fof(f3977,plain,
( spl14_372
| ~ spl14_58
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1143,f1095,f501,f3975]) ).
fof(f1143,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_120 ),
inference(duplicate_literal_removal,[],[f1138]) ).
fof(f1138,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_120 ),
inference(resolution,[],[f1096,f502]) ).
fof(f3973,plain,
( spl14_371
| ~ spl14_58
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1131,f1091,f501,f3971]) ).
fof(f1131,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_119 ),
inference(duplicate_literal_removal,[],[f1126]) ).
fof(f1126,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_119 ),
inference(resolution,[],[f1092,f502]) ).
fof(f3969,plain,
( spl14_370
| ~ spl14_58
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1119,f1087,f501,f3967]) ).
fof(f1119,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_118 ),
inference(duplicate_literal_removal,[],[f1114]) ).
fof(f1114,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k2_isocat_1(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X4,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_118 ),
inference(resolution,[],[f1088,f502]) ).
fof(f3965,plain,
( spl14_369
| ~ spl14_58
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1106,f1083,f501,f3963]) ).
fof(f1106,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_117 ),
inference(duplicate_literal_removal,[],[f1101]) ).
fof(f1101,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k2_isocat_1(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5,X6)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X4,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_117 ),
inference(resolution,[],[f1084,f502]) ).
fof(f3865,plain,
( spl14_368
| ~ spl14_56
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1145,f1095,f488,f3863]) ).
fof(f1145,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_56
| ~ spl14_120 ),
inference(duplicate_literal_removal,[],[f1136]) ).
fof(f1136,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_120 ),
inference(resolution,[],[f1096,f489]) ).
fof(f3861,plain,
( spl14_367
| ~ spl14_57
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1144,f1095,f492,f3859]) ).
fof(f1144,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_120 ),
inference(duplicate_literal_removal,[],[f1137]) ).
fof(f1137,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_120 ),
inference(resolution,[],[f1096,f493]) ).
fof(f3857,plain,
( spl14_366
| ~ spl14_56
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1133,f1091,f488,f3855]) ).
fof(f1133,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_56
| ~ spl14_119 ),
inference(duplicate_literal_removal,[],[f1124]) ).
fof(f1124,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_119 ),
inference(resolution,[],[f1092,f489]) ).
fof(f3853,plain,
( spl14_365
| ~ spl14_57
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1132,f1091,f492,f3851]) ).
fof(f1132,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_119 ),
inference(duplicate_literal_removal,[],[f1125]) ).
fof(f1125,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_119 ),
inference(resolution,[],[f1092,f493]) ).
fof(f3849,plain,
( spl14_364
| ~ spl14_56
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1121,f1087,f488,f3847]) ).
fof(f1121,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_56
| ~ spl14_118 ),
inference(duplicate_literal_removal,[],[f1112]) ).
fof(f1112,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k11_isocat_2(X2,k11_cat_2(k11_cat_2(X1,X0),X3),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(k11_cat_2(X1,X0),X3),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_118 ),
inference(resolution,[],[f1088,f489]) ).
fof(f3845,plain,
( spl14_363
| ~ spl14_57
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1120,f1087,f492,f3843]) ).
fof(f1120,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_118 ),
inference(duplicate_literal_removal,[],[f1113]) ).
fof(f1113,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,k12_isocat_2(X2,X4,k11_cat_2(k11_cat_2(X1,X0),X3),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(k11_cat_2(X1,X0),X3)))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_118 ),
inference(resolution,[],[f1088,f493]) ).
fof(f3841,plain,
( spl14_362
| ~ spl14_56
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1108,f1083,f488,f3839]) ).
fof(f1108,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_56
| ~ spl14_117 ),
inference(duplicate_literal_removal,[],[f1099]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k11_isocat_2(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),X4,X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(k11_cat_2(X3,k11_cat_2(X1,X0)),X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_117 ),
inference(resolution,[],[f1084,f489]) ).
fof(f3837,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_361
| ~ spl14_8
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f1995,f1991,f229,f3834,f747,f743,f199,f194]) ).
fof(f3834,plain,
( spl14_361
<=> v1_relat_1(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_361])]) ).
fof(f1995,plain,
( v1_relat_1(sK4)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_8
| ~ spl14_227 ),
inference(resolution,[],[f1992,f231]) ).
fof(f3832,plain,
( spl14_360
| ~ spl14_57
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1107,f1083,f492,f3830]) ).
fof(f1107,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_117 ),
inference(duplicate_literal_removal,[],[f1100]) ).
fof(f1100,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),k12_isocat_2(X2,X4,k11_cat_2(X3,k11_cat_2(X1,X0)),X5)),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,k11_cat_2(X3,k11_cat_2(X1,X0))))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_117 ),
inference(resolution,[],[f1084,f493]) ).
fof(f3700,plain,
( spl14_359
| ~ spl14_49
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1241,f1189,f447,f3698]) ).
fof(f1189,plain,
( spl14_131
<=> ! [X3,X4,X0,X5,X2,X1] :
( k11_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_131])]) ).
fof(f1241,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1234]) ).
fof(f1234,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_131 ),
inference(resolution,[],[f1190,f448]) ).
fof(f1190,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_131 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f3696,plain,
( spl14_358
| ~ spl14_50
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1240,f1189,f451,f3694]) ).
fof(f1240,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1235]) ).
fof(f1235,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_131 ),
inference(resolution,[],[f1190,f452]) ).
fof(f3692,plain,
( spl14_357
| ~ spl14_51
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1239,f1189,f455,f3690]) ).
fof(f1239,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1236]) ).
fof(f1236,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_131 ),
inference(resolution,[],[f1190,f456]) ).
fof(f3688,plain,
( spl14_356
| ~ spl14_52
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1238,f1189,f459,f3686]) ).
fof(f1238,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1237]) ).
fof(f1237,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_131 ),
inference(resolution,[],[f1190,f460]) ).
fof(f3684,plain,
( spl14_355
| ~ spl14_49
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1213,f1164,f447,f3682]) ).
fof(f1164,plain,
( spl14_125
<=> ! [X3,X4,X0,X5,X2,X1] :
( k12_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_125])]) ).
fof(f1213,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1206]) ).
fof(f1206,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k16_cat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_49
| ~ spl14_125 ),
inference(resolution,[],[f1165,f448]) ).
fof(f1165,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_125 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f3680,plain,
( spl14_354
| ~ spl14_50
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1212,f1164,f451,f3678]) ).
fof(f1212,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1207]) ).
fof(f1207,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k17_cat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_50
| ~ spl14_125 ),
inference(resolution,[],[f1165,f452]) ).
fof(f3676,plain,
( spl14_353
| ~ spl14_51
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1211,f1164,f455,f3674]) ).
fof(f1211,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1208]) ).
fof(f1208,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(k11_cat_2(X1,X0),X3),k11_cat_2(X1,X0),X4,k8_isocat_2(k11_cat_2(X1,X0),X3)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_51
| ~ spl14_125 ),
inference(resolution,[],[f1165,f456]) ).
fof(f3672,plain,
( spl14_352
| ~ spl14_52
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1210,f1164,f459,f3670]) ).
fof(f1210,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1209]) ).
fof(f1209,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,k11_cat_2(X3,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X4,k9_isocat_2(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_52
| ~ spl14_125 ),
inference(resolution,[],[f1165,f460]) ).
fof(f3628,plain,
( spl14_351
| ~ spl14_58
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1242,f1189,f501,f3626]) ).
fof(f1242,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1233]) ).
fof(f1233,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_131 ),
inference(resolution,[],[f1190,f502]) ).
fof(f3624,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_350
| ~ spl14_7
| ~ spl14_227 ),
inference(avatar_split_clause,[],[f1994,f1991,f224,f3621,f747,f743,f199,f194]) ).
fof(f3621,plain,
( spl14_350
<=> v1_relat_1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_350])]) ).
fof(f1994,plain,
( v1_relat_1(sK3)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_7
| ~ spl14_227 ),
inference(resolution,[],[f1992,f226]) ).
fof(f3619,plain,
( spl14_349
| ~ spl14_58
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1214,f1164,f501,f3617]) ).
fof(f1214,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1205]) ).
fof(f1205,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k2_isocat_1(X3,X5,k11_cat_2(X1,X0),X6,X7)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X7,X5,k11_cat_2(X1,X0))
| ~ m2_cat_1(X6,X3,X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_125 ),
inference(resolution,[],[f1165,f502]) ).
fof(f3439,plain,
( spl14_348
| ~ spl14_56
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1244,f1189,f488,f3437]) ).
fof(f1244,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1231]) ).
fof(f1231,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_131 ),
inference(resolution,[],[f1190,f489]) ).
fof(f3435,plain,
( spl14_347
| ~ spl14_57
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1243,f1189,f492,f3433]) ).
fof(f1243,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1232]) ).
fof(f1232,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_131 ),
inference(resolution,[],[f1190,f493]) ).
fof(f3431,plain,
( spl14_346
| ~ spl14_56
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1216,f1164,f488,f3429]) ).
fof(f1216,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_56
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1203]) ).
fof(f1203,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k11_isocat_2(X3,k11_cat_2(X1,X0),X5,X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(k11_cat_2(X1,X0),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_125 ),
inference(resolution,[],[f1165,f489]) ).
fof(f3427,plain,
( spl14_345
| ~ spl14_57
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1215,f1164,f492,f3425]) ).
fof(f1215,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1204]) ).
fof(f1204,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,k12_isocat_2(X3,X5,k11_cat_2(X1,X0),X6)),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ m2_cat_1(X6,X3,k11_cat_2(X5,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_125 ),
inference(resolution,[],[f1165,f493]) ).
fof(f3423,plain,
( spl14_344
| ~ spl14_52
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1049,f1010,f459,f3421]) ).
fof(f1010,plain,
( spl14_112
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_isocat_1(X0,X1,X2,X3,k11_isocat_2(X1,X2,X4,X5)) = k5_relat_1(X3,k11_isocat_2(X1,X2,X4,X5))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_112])]) ).
fof(f1049,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_112 ),
inference(resolution,[],[f1011,f460]) ).
fof(f1011,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,X1,X2,X3,k11_isocat_2(X1,X2,X4,X5)) = k5_relat_1(X3,k11_isocat_2(X1,X2,X4,X5))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_112 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f3419,plain,
( spl14_343
| ~ spl14_51
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1048,f1010,f455,f3417]) ).
fof(f1048,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X2,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_51
| ~ spl14_112 ),
inference(resolution,[],[f1011,f456]) ).
fof(f3415,plain,
( spl14_342
| ~ spl14_50
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1047,f1010,f451,f3413]) ).
fof(f1047,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_112 ),
inference(resolution,[],[f1011,f452]) ).
fof(f3411,plain,
( spl14_341
| ~ spl14_49
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1046,f1010,f447,f3409]) ).
fof(f1046,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X2,X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k11_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_49
| ~ spl14_112 ),
inference(resolution,[],[f1011,f448]) ).
fof(f3407,plain,
( spl14_340
| ~ spl14_52
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1030,f1006,f459,f3405]) ).
fof(f1006,plain,
( spl14_111
<=> ! [X3,X4,X0,X5,X2,X1] :
( k2_isocat_1(X0,X1,X2,X3,k12_isocat_2(X1,X4,X2,X5)) = k5_relat_1(X3,k12_isocat_2(X1,X4,X2,X5))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_111])]) ).
fof(f1030,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X4,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k9_isocat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_52
| ~ spl14_111 ),
inference(resolution,[],[f1007,f460]) ).
fof(f1007,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k2_isocat_1(X0,X1,X2,X3,k12_isocat_2(X1,X4,X2,X5)) = k5_relat_1(X3,k12_isocat_2(X1,X4,X2,X5))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_111 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f3403,plain,
( spl14_339
| ~ spl14_51
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1029,f1006,f455,f3401]) ).
fof(f1029,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X3,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k8_isocat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_51
| ~ spl14_111 ),
inference(resolution,[],[f1007,f456]) ).
fof(f3399,plain,
( spl14_338
| ~ spl14_50
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1028,f1006,f451,f3397]) ).
fof(f1028,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X3,X4)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(X2,k11_cat_2(X3,X4)),X4,X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(X2,k11_cat_2(X3,X4)),X3,X4,k17_cat_2(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_50
| ~ spl14_111 ),
inference(resolution,[],[f1007,f452]) ).
fof(f3395,plain,
( spl14_337
| ~ spl14_49
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1027,f1006,f447,f3393]) ).
fof(f1027,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X2,X3),X4))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,k11_cat_2(k11_cat_2(X2,X3),X4),X3,X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4))) = k5_relat_1(X0,k12_isocat_2(k11_cat_2(k11_cat_2(X2,X3),X4),X2,X3,k16_cat_2(k11_cat_2(X2,X3),X4)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X2,X3))
| ~ v2_cat_1(k11_cat_2(X2,X3)) )
| ~ spl14_49
| ~ spl14_111 ),
inference(resolution,[],[f1007,f448]) ).
fof(f3383,plain,
( spl14_336
| ~ spl14_46
| ~ spl14_120 ),
inference(avatar_split_clause,[],[f1146,f1095,f425,f3381]) ).
fof(f1146,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_46
| ~ spl14_120 ),
inference(duplicate_literal_removal,[],[f1135]) ).
fof(f1135,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_120 ),
inference(resolution,[],[f1096,f426]) ).
fof(f3379,plain,
( ~ spl14_335
| spl14_29
| ~ spl14_175
| ~ spl14_177 ),
inference(avatar_split_clause,[],[f1556,f1550,f1537,f324,f3376]) ).
fof(f324,plain,
( spl14_29
<=> r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f1556,plain,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| spl14_29
| ~ spl14_175
| ~ spl14_177 ),
inference(forward_demodulation,[],[f1554,f1539]) ).
fof(f1554,plain,
( ~ r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k12_isocat_2(sK0,sK1,sK2,sK4))
| spl14_29
| ~ spl14_177 ),
inference(superposition,[],[f326,f1552]) ).
fof(f326,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| spl14_29 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f3374,plain,
( spl14_334
| ~ spl14_46
| ~ spl14_119 ),
inference(avatar_split_clause,[],[f1134,f1091,f425,f3372]) ).
fof(f1134,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_46
| ~ spl14_119 ),
inference(duplicate_literal_removal,[],[f1123]) ).
fof(f1123,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k8_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_119 ),
inference(resolution,[],[f1092,f426]) ).
fof(f3370,plain,
( spl14_333
| ~ spl14_46
| ~ spl14_118 ),
inference(avatar_split_clause,[],[f1122,f1087,f425,f3368]) ).
fof(f1122,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3)) )
| ~ spl14_46
| ~ spl14_118 ),
inference(duplicate_literal_removal,[],[f1111]) ).
fof(f1111,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k11_isocat_2(X2,k11_cat_2(X1,X0),X3,sK8(X2,k11_cat_2(k11_cat_2(X1,X0),X3))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_118 ),
inference(resolution,[],[f1088,f426]) ).
fof(f3366,plain,
( spl14_332
| ~ spl14_46
| ~ spl14_117 ),
inference(avatar_split_clause,[],[f1109,f1083,f425,f3364]) ).
fof(f1109,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0))) )
| ~ spl14_46
| ~ spl14_117 ),
inference(duplicate_literal_removal,[],[f1098]) ).
fof(f1098,plain,
( ! [X2,X3,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0))))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k12_isocat_2(X2,X3,k11_cat_2(X1,X0),sK8(X2,k11_cat_2(X3,k11_cat_2(X1,X0)))),k9_isocat_2(X1,X0))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ v2_cat_1(k11_cat_2(X3,k11_cat_2(X1,X0)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_117 ),
inference(resolution,[],[f1084,f426]) ).
fof(f3326,plain,
( spl14_331
| ~ spl14_58
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1050,f1010,f501,f3324]) ).
fof(f1050,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X3,X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_112 ),
inference(duplicate_literal_removal,[],[f1045]) ).
fof(f1045,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k2_isocat_1(X2,X5,k11_cat_2(X3,X4),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X3,X4))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_112 ),
inference(resolution,[],[f1011,f502]) ).
fof(f3322,plain,
( spl14_330
| ~ spl14_58
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1031,f1006,f501,f3320]) ).
fof(f1031,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X3))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_58
| ~ spl14_111 ),
inference(duplicate_literal_removal,[],[f1026]) ).
fof(f1026,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k2_isocat_1(X2,X5,k11_cat_2(X4,X3),X6,X7)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X5,k11_cat_2(X4,X3))
| ~ m2_cat_1(X6,X2,X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_58
| ~ spl14_111 ),
inference(resolution,[],[f1007,f502]) ).
fof(f3281,plain,
( ~ spl14_329
| spl14_29
| ~ spl14_175 ),
inference(avatar_split_clause,[],[f1541,f1537,f324,f3278]) ).
fof(f1541,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| spl14_29
| ~ spl14_175 ),
inference(superposition,[],[f326,f1539]) ).
fof(f3264,plain,
( spl14_328
| ~ spl14_56
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1052,f1010,f488,f3262]) ).
fof(f1052,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X3,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4)) )
| ~ spl14_56
| ~ spl14_112 ),
inference(duplicate_literal_removal,[],[f1043]) ).
fof(f1043,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k11_isocat_2(X2,k11_cat_2(X3,X4),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X3,X4),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_112 ),
inference(resolution,[],[f1011,f489]) ).
fof(f3260,plain,
( spl14_327
| ~ spl14_57
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1051,f1010,f492,f3258]) ).
fof(f1051,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X3,X4)))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_112 ),
inference(duplicate_literal_removal,[],[f1044]) ).
fof(f1044,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,k12_isocat_2(X2,X5,k11_cat_2(X3,X4),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X3,X4)))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_112 ),
inference(resolution,[],[f1011,f493]) ).
fof(f3256,plain,
( spl14_326
| ~ spl14_56
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1033,f1006,f488,f3254]) ).
fof(f1033,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,X3),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3)) )
| ~ spl14_56
| ~ spl14_111 ),
inference(duplicate_literal_removal,[],[f1024]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k11_isocat_2(X2,k11_cat_2(X4,X3),X5,X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(k11_cat_2(X4,X3),X5))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_56
| ~ spl14_111 ),
inference(resolution,[],[f1007,f489]) ).
fof(f3252,plain,
( spl14_325
| ~ spl14_57
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1032,f1006,f492,f3250]) ).
fof(f1032,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,X3)))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5) )
| ~ spl14_57
| ~ spl14_111 ),
inference(duplicate_literal_removal,[],[f1025]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,k12_isocat_2(X2,X5,k11_cat_2(X4,X3),X6)))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X6,X2,k11_cat_2(X5,k11_cat_2(X4,X3)))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_57
| ~ spl14_111 ),
inference(resolution,[],[f1007,f493]) ).
fof(f3158,plain,
( spl14_324
| ~ spl14_46
| ~ spl14_131 ),
inference(avatar_split_clause,[],[f1245,f1189,f425,f3156]) ).
fof(f1245,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_131 ),
inference(duplicate_literal_removal,[],[f1230]) ).
fof(f1230,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k8_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_131 ),
inference(resolution,[],[f1190,f426]) ).
fof(f3154,plain,
( spl14_323
| ~ spl14_46
| ~ spl14_125 ),
inference(avatar_split_clause,[],[f1217,f1164,f425,f3152]) ).
fof(f1217,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_125 ),
inference(duplicate_literal_removal,[],[f1202]) ).
fof(f1202,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0)))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,k2_isocat_1(X2,X3,k11_cat_2(X1,X0),X4,sK8(X3,k11_cat_2(X1,X0))),k9_isocat_2(X1,X0))
| ~ m2_cat_1(X4,X2,X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_46
| ~ spl14_125 ),
inference(resolution,[],[f1165,f426]) ).
fof(f3150,plain,
( ~ spl14_322
| spl14_28
| ~ spl14_171
| ~ spl14_173 ),
inference(avatar_split_clause,[],[f1529,f1523,f1510,f320,f3147]) ).
fof(f320,plain,
( spl14_28
<=> r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f1529,plain,
( ~ r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| spl14_28
| ~ spl14_171
| ~ spl14_173 ),
inference(forward_demodulation,[],[f1527,f1512]) ).
fof(f1527,plain,
( ~ r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k11_isocat_2(sK0,sK1,sK2,sK4))
| spl14_28
| ~ spl14_173 ),
inference(superposition,[],[f322,f1525]) ).
fof(f322,plain,
( ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4))
| spl14_28 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f3145,plain,
( spl14_321
| ~ spl14_58
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1078,f1061,f501,f3143]) ).
fof(f1078,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,X3)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_58
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1069]) ).
fof(f1069,plain,
( ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k2_isocat_1(X4,X6,X3,X7,X8)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X8,X6,X3)
| ~ m2_cat_1(X7,X4,X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_116 ),
inference(resolution,[],[f1062,f502]) ).
fof(f3065,plain,
( spl14_320
| ~ spl14_58
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f1001,f889,f501,f3063]) ).
fof(f889,plain,
( spl14_109
<=> ! [X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k16_cat_2(X1,X2)) = k5_relat_1(X3,k16_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_109])]) ).
fof(f1001,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f992]) ).
fof(f992,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_109 ),
inference(resolution,[],[f890,f502]) ).
fof(f890,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k16_cat_2(X1,X2)) = k5_relat_1(X3,k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_109 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f3061,plain,
( spl14_319
| ~ spl14_58
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f942,f885,f501,f3059]) ).
fof(f885,plain,
( spl14_108
<=> ! [X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k17_cat_2(X1,X2)) = k5_relat_1(X3,k17_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_108])]) ).
fof(f942,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f933]) ).
fof(f933,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_108 ),
inference(resolution,[],[f886,f502]) ).
fof(f886,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k17_cat_2(X1,X2)) = k5_relat_1(X3,k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_108 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f3057,plain,
( spl14_318
| ~ spl14_58
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f924,f881,f501,f3055]) ).
fof(f881,plain,
( spl14_107
<=> ! [X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) = k5_relat_1(X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_107])]) ).
fof(f924,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f915]) ).
fof(f915,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_107 ),
inference(resolution,[],[f882,f502]) ).
fof(f882,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) = k5_relat_1(X3,k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_107 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f3053,plain,
( spl14_317
| ~ spl14_58
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f906,f877,f501,f3051]) ).
fof(f877,plain,
( spl14_106
<=> ! [X0,X3,X2,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) = k5_relat_1(X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_106])]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f897]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_106 ),
inference(resolution,[],[f878,f502]) ).
fof(f878,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) = k5_relat_1(X3,k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_106 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f3032,plain,
( ~ spl14_316
| spl14_28
| ~ spl14_171 ),
inference(avatar_split_clause,[],[f1514,f1510,f320,f3029]) ).
fof(f3029,plain,
( spl14_316
<=> r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k5_relat_1(sK4,k16_cat_2(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_316])]) ).
fof(f1514,plain,
( ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| spl14_28
| ~ spl14_171 ),
inference(superposition,[],[f322,f1512]) ).
fof(f2923,plain,
( spl14_315
| ~ spl14_56
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1080,f1061,f488,f2921]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X3,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_56
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1067]) ).
fof(f1067,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k11_isocat_2(X4,X3,X6,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X3,X6))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_116 ),
inference(resolution,[],[f1062,f489]) ).
fof(f2919,plain,
( spl14_314
| ~ spl14_57
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1079,f1061,f492,f2917]) ).
fof(f1079,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X3))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6) )
| ~ spl14_57
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1068]) ).
fof(f1068,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,k12_isocat_2(X4,X6,X3,X7)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X6,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_116 ),
inference(resolution,[],[f1062,f493]) ).
fof(f2915,plain,
( spl14_313
| ~ spl14_49
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1077,f1061,f447,f2913]) ).
fof(f1077,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_49
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1070]) ).
fof(f1070,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k16_cat_2(X3,X4)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_49
| ~ spl14_116 ),
inference(resolution,[],[f1062,f448]) ).
fof(f2911,plain,
( spl14_312
| ~ spl14_50
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1076,f1061,f451,f2909]) ).
fof(f1076,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1071]) ).
fof(f1071,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k17_cat_2(X4,X3)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_50
| ~ spl14_116 ),
inference(resolution,[],[f1062,f452]) ).
fof(f2907,plain,
( spl14_311
| ~ spl14_51
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1075,f1061,f455,f2905]) ).
fof(f1075,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_51
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1072]) ).
fof(f1072,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X3,X4),X3,X5,k8_isocat_2(X3,X4)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X3,X4))
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_51
| ~ spl14_116 ),
inference(resolution,[],[f1062,f456]) ).
fof(f2902,plain,
( spl14_310
| ~ spl14_52
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1074,f1061,f459,f2900]) ).
fof(f1074,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1073]) ).
fof(f1073,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,k11_cat_2(X4,X3),X3,X5,k9_isocat_2(X4,X3)))
| ~ m2_cat_1(X5,X2,k11_cat_2(X4,X3))
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_52
| ~ spl14_116 ),
inference(resolution,[],[f1062,f460]) ).
fof(f2840,plain,
( spl14_309
| ~ spl14_5
| ~ spl14_6
| ~ spl14_157 ),
inference(avatar_split_clause,[],[f1411,f1404,f219,f214,f2837]) ).
fof(f2837,plain,
( spl14_309
<=> k17_cat_2(sK2,k11_cat_2(sK1,sK2)) = k9_isocat_2(sK2,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_309])]) ).
fof(f1411,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(sK2,k11_cat_2(sK1,sK2)) = k9_isocat_2(sK2,k11_cat_2(sK1,sK2))
| ~ spl14_6
| ~ spl14_157 ),
inference(resolution,[],[f1405,f221]) ).
fof(f2764,plain,
( spl14_308
| ~ spl14_56
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f1003,f889,f488,f2762]) ).
fof(f1003,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f990]) ).
fof(f990,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_109 ),
inference(resolution,[],[f890,f489]) ).
fof(f2760,plain,
( spl14_307
| ~ spl14_57
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f1002,f889,f492,f2758]) ).
fof(f1002,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f991]) ).
fof(f991,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_109 ),
inference(resolution,[],[f890,f493]) ).
fof(f2756,plain,
( spl14_306
| ~ spl14_49
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f1000,f889,f447,f2754]) ).
fof(f1000,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f993]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_109 ),
inference(resolution,[],[f890,f448]) ).
fof(f2752,plain,
( spl14_305
| ~ spl14_50
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f999,f889,f451,f2750]) ).
fof(f999,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f994]) ).
fof(f994,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_109 ),
inference(resolution,[],[f890,f452]) ).
fof(f2748,plain,
( spl14_304
| ~ spl14_51
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f998,f889,f455,f2746]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f995]) ).
fof(f995,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k16_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_109 ),
inference(resolution,[],[f890,f456]) ).
fof(f2744,plain,
( spl14_303
| ~ spl14_3
| ~ spl14_4
| ~ spl14_157 ),
inference(avatar_split_clause,[],[f1410,f1404,f209,f204,f2741]) ).
fof(f2741,plain,
( spl14_303
<=> k17_cat_2(sK1,k11_cat_2(sK1,sK2)) = k9_isocat_2(sK1,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_303])]) ).
fof(f1410,plain,
( ~ v2_cat_1(sK1)
| k17_cat_2(sK1,k11_cat_2(sK1,sK2)) = k9_isocat_2(sK1,k11_cat_2(sK1,sK2))
| ~ spl14_4
| ~ spl14_157 ),
inference(resolution,[],[f1405,f211]) ).
fof(f2739,plain,
( spl14_302
| ~ spl14_52
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f997,f889,f459,f2737]) ).
fof(f997,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f996]) ).
fof(f996,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_109 ),
inference(resolution,[],[f890,f460]) ).
fof(f2735,plain,
( spl14_301
| ~ spl14_56
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f944,f885,f488,f2733]) ).
fof(f944,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f931]) ).
fof(f931,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_108 ),
inference(resolution,[],[f886,f489]) ).
fof(f2731,plain,
( spl14_300
| ~ spl14_57
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f943,f885,f492,f2729]) ).
fof(f943,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f932]) ).
fof(f932,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_108 ),
inference(resolution,[],[f886,f493]) ).
fof(f2727,plain,
( spl14_299
| ~ spl14_49
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f941,f885,f447,f2725]) ).
fof(f941,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f934]) ).
fof(f934,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_108 ),
inference(resolution,[],[f886,f448]) ).
fof(f2723,plain,
( spl14_298
| ~ spl14_50
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f940,f885,f451,f2721]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f935]) ).
fof(f935,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_108 ),
inference(resolution,[],[f886,f452]) ).
fof(f2719,plain,
( spl14_297
| ~ spl14_51
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f939,f885,f455,f2717]) ).
fof(f939,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f936]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k17_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_108 ),
inference(resolution,[],[f886,f456]) ).
fof(f2715,plain,
( spl14_296
| ~ spl14_52
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f938,f885,f459,f2713]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f937]) ).
fof(f937,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_108 ),
inference(resolution,[],[f886,f460]) ).
fof(f2711,plain,
( spl14_295
| ~ spl14_56
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f926,f881,f488,f2709]) ).
fof(f926,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f913]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_107 ),
inference(resolution,[],[f882,f489]) ).
fof(f2707,plain,
( spl14_294
| ~ spl14_57
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f925,f881,f492,f2705]) ).
fof(f925,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f914]) ).
fof(f914,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_107 ),
inference(resolution,[],[f882,f493]) ).
fof(f2703,plain,
( spl14_293
| ~ spl14_49
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f923,f881,f447,f2701]) ).
fof(f923,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f916]) ).
fof(f916,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_107 ),
inference(resolution,[],[f882,f448]) ).
fof(f2698,plain,
( spl14_292
| ~ spl14_50
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f922,f881,f451,f2696]) ).
fof(f922,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f917]) ).
fof(f917,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_107 ),
inference(resolution,[],[f882,f452]) ).
fof(f2694,plain,
( spl14_291
| ~ spl14_51
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f921,f881,f455,f2692]) ).
fof(f921,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f918]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_107 ),
inference(resolution,[],[f882,f456]) ).
fof(f2690,plain,
( spl14_290
| ~ spl14_52
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f920,f881,f459,f2688]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f919]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_107 ),
inference(resolution,[],[f882,f460]) ).
fof(f2686,plain,
( spl14_289
| ~ spl14_56
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f908,f877,f488,f2684]) ).
fof(f908,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f895]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2)) = k5_relat_1(k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_106 ),
inference(resolution,[],[f878,f489]) ).
fof(f2682,plain,
( spl14_288
| ~ spl14_57
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f907,f877,f492,f2680]) ).
fof(f907,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f896]) ).
fof(f896,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_106 ),
inference(resolution,[],[f878,f493]) ).
fof(f2678,plain,
( spl14_287
| ~ spl14_49
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f905,f877,f447,f2676]) ).
fof(f905,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f898]) ).
fof(f898,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_106 ),
inference(resolution,[],[f878,f448]) ).
fof(f2674,plain,
( spl14_286
| ~ spl14_50
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f904,f877,f451,f2672]) ).
fof(f904,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f899]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_106 ),
inference(resolution,[],[f878,f452]) ).
fof(f2670,plain,
( spl14_285
| ~ spl14_51
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f903,f877,f455,f2668]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f900]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1)) = k5_relat_1(k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_106 ),
inference(resolution,[],[f878,f456]) ).
fof(f2666,plain,
( spl14_284
| ~ spl14_52
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f902,f877,f459,f2664]) ).
fof(f902,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f901]) ).
fof(f901,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_106 ),
inference(resolution,[],[f878,f460]) ).
fof(f2660,plain,
( spl14_283
| ~ spl14_1
| ~ spl14_2
| ~ spl14_157 ),
inference(avatar_split_clause,[],[f1409,f1404,f199,f194,f2657]) ).
fof(f2657,plain,
( spl14_283
<=> k17_cat_2(sK0,k11_cat_2(sK1,sK2)) = k9_isocat_2(sK0,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_283])]) ).
fof(f1409,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(sK0,k11_cat_2(sK1,sK2)) = k9_isocat_2(sK0,k11_cat_2(sK1,sK2))
| ~ spl14_2
| ~ spl14_157 ),
inference(resolution,[],[f1405,f201]) ).
fof(f2641,plain,
( spl14_282
| ~ spl14_45
| ~ spl14_130 ),
inference(avatar_split_clause,[],[f1227,f1185,f421,f2639]) ).
fof(f1185,plain,
( spl14_130
<=> ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k9_isocat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_130])]) ).
fof(f1227,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k9_isocat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_130 ),
inference(duplicate_literal_removal,[],[f1226]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k9_isocat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_130 ),
inference(resolution,[],[f1186,f422]) ).
fof(f1186,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k9_isocat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_130 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f2637,plain,
( spl14_281
| ~ spl14_45
| ~ spl14_129 ),
inference(avatar_split_clause,[],[f1225,f1181,f421,f2635]) ).
fof(f1181,plain,
( spl14_129
<=> ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).
fof(f1225,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k8_isocat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_129 ),
inference(duplicate_literal_removal,[],[f1224]) ).
fof(f1224,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k8_isocat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_129 ),
inference(resolution,[],[f1182,f422]) ).
fof(f1182,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_129 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f2633,plain,
( spl14_280
| ~ spl14_45
| ~ spl14_127 ),
inference(avatar_split_clause,[],[f1221,f1172,f421,f2631]) ).
fof(f1172,plain,
( spl14_127
<=> ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k17_cat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_127])]) ).
fof(f1221,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k17_cat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_127 ),
inference(duplicate_literal_removal,[],[f1220]) ).
fof(f1220,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X1,k17_cat_2(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_127 ),
inference(resolution,[],[f1173,f422]) ).
fof(f1173,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k17_cat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_127 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f2628,plain,
( spl14_279
| ~ spl14_45
| ~ spl14_126 ),
inference(avatar_split_clause,[],[f1219,f1168,f421,f2626]) ).
fof(f1168,plain,
( spl14_126
<=> ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_126])]) ).
fof(f1219,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k16_cat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_126 ),
inference(duplicate_literal_removal,[],[f1218]) ).
fof(f1218,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k11_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X1,k16_cat_2(k11_cat_2(X1,X0),X2),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_126 ),
inference(resolution,[],[f1169,f422]) ).
fof(f1169,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_126 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f2624,plain,
( spl14_278
| ~ spl14_45
| ~ spl14_124 ),
inference(avatar_split_clause,[],[f1199,f1160,f421,f2622]) ).
fof(f1160,plain,
( spl14_124
<=> ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k9_isocat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_124])]) ).
fof(f1199,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_124 ),
inference(duplicate_literal_removal,[],[f1198]) ).
fof(f1198,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k9_isocat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k9_isocat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_124 ),
inference(resolution,[],[f1161,f422]) ).
fof(f1161,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k9_isocat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_124 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f2620,plain,
( spl14_277
| ~ spl14_45
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f1197,f1156,f421,f2618]) ).
fof(f1156,plain,
( spl14_123
<=> ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_123])]) ).
fof(f1197,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_123 ),
inference(duplicate_literal_removal,[],[f1196]) ).
fof(f1196,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k8_isocat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k8_isocat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_123 ),
inference(resolution,[],[f1157,f422]) ).
fof(f1157,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_123 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f2616,plain,
( spl14_276
| ~ spl14_45
| ~ spl14_122 ),
inference(avatar_split_clause,[],[f1195,f1152,f421,f2614]) ).
fof(f1152,plain,
( spl14_122
<=> ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k17_cat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_122])]) ).
fof(f1195,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_122 ),
inference(duplicate_literal_removal,[],[f1194]) ).
fof(f1194,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X2,k11_cat_2(X1,X0)),X1,X0,k17_cat_2(X2,k11_cat_2(X1,X0))) = k2_isocat_1(k11_cat_2(X2,k11_cat_2(X1,X0)),k11_cat_2(X1,X0),X0,k17_cat_2(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X2,k11_cat_2(X1,X0)))
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_45
| ~ spl14_122 ),
inference(resolution,[],[f1153,f422]) ).
fof(f1153,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k17_cat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_122 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f2612,plain,
( spl14_275
| ~ spl14_45
| ~ spl14_121 ),
inference(avatar_split_clause,[],[f1193,f1148,f421,f2610]) ).
fof(f1148,plain,
( spl14_121
<=> ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_121])]) ).
fof(f1193,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_121 ),
inference(duplicate_literal_removal,[],[f1192]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k12_isocat_2(k11_cat_2(k11_cat_2(X1,X0),X2),X1,X0,k16_cat_2(k11_cat_2(X1,X0),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X1,X0),X2),k11_cat_2(X1,X0),X0,k16_cat_2(k11_cat_2(X1,X0),X2),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X1,X0),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_121 ),
inference(resolution,[],[f1149,f422]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_121 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f2548,plain,
( spl14_274
| ~ spl14_46
| ~ spl14_112 ),
inference(avatar_split_clause,[],[f1053,f1010,f425,f2546]) ).
fof(f1053,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4)) )
| ~ spl14_46
| ~ spl14_112 ),
inference(duplicate_literal_removal,[],[f1042]) ).
fof(f1042,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4)))) = k5_relat_1(X0,k11_isocat_2(X2,X3,X4,sK8(X2,k11_cat_2(X3,X4))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X3,X4))
| ~ v2_cat_1(k11_cat_2(X3,X4))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_112 ),
inference(resolution,[],[f1011,f426]) ).
fof(f2544,plain,
( spl14_273
| ~ spl14_46
| ~ spl14_111 ),
inference(avatar_split_clause,[],[f1034,f1006,f425,f2542]) ).
fof(f1034,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3)))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3)) )
| ~ spl14_46
| ~ spl14_111 ),
inference(duplicate_literal_removal,[],[f1023]) ).
fof(f1023,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3)))) = k5_relat_1(X0,k12_isocat_2(X2,X4,X3,sK8(X2,k11_cat_2(X4,X3))))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(k11_cat_2(X4,X3))
| ~ v2_cat_1(k11_cat_2(X4,X3))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_111 ),
inference(resolution,[],[f1007,f426]) ).
fof(f2510,plain,
( spl14_272
| ~ spl14_5
| ~ spl14_6
| ~ spl14_156 ),
inference(avatar_split_clause,[],[f1401,f1394,f219,f214,f2507]) ).
fof(f2507,plain,
( spl14_272
<=> k16_cat_2(sK2,k11_cat_2(sK1,sK2)) = k8_isocat_2(sK2,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_272])]) ).
fof(f1401,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(sK2,k11_cat_2(sK1,sK2)) = k8_isocat_2(sK2,k11_cat_2(sK1,sK2))
| ~ spl14_6
| ~ spl14_156 ),
inference(resolution,[],[f1395,f221]) ).
fof(f2475,plain,
( spl14_271
| ~ spl14_46
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1081,f1061,f425,f2473]) ).
fof(f1081,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_116 ),
inference(duplicate_literal_removal,[],[f1066]) ).
fof(f1066,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,X3,X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3))) = k5_relat_1(X0,k2_isocat_1(X2,X4,X3,X5,sK8(X4,X3)))
| ~ m2_cat_1(X5,X2,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_46
| ~ spl14_116 ),
inference(resolution,[],[f1062,f426]) ).
fof(f2471,plain,
( spl14_270
| ~ spl14_58
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f872,f855,f501,f2469]) ).
fof(f872,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,X1,X2,k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f863]) ).
fof(f863,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,X1,X2,k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2)) = k5_relat_1(k2_isocat_1(X0,X3,X1,X4,X5),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,X1)
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_105 ),
inference(resolution,[],[f856,f502]) ).
fof(f2423,plain,
( spl14_269
| ~ spl14_46
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f1004,f889,f425,f2421]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_109 ),
inference(duplicate_literal_removal,[],[f989]) ).
fof(f989,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k16_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_109 ),
inference(resolution,[],[f890,f426]) ).
fof(f2418,plain,
( spl14_268
| ~ spl14_46
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f945,f885,f425,f2416]) ).
fof(f945,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_108 ),
inference(duplicate_literal_removal,[],[f930]) ).
fof(f930,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k17_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_108 ),
inference(resolution,[],[f886,f426]) ).
fof(f2414,plain,
( spl14_267
| ~ spl14_46
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f927,f881,f425,f2412]) ).
fof(f927,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_46
| ~ spl14_107 ),
inference(duplicate_literal_removal,[],[f912]) ).
fof(f912,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_107 ),
inference(resolution,[],[f882,f426]) ).
fof(f2410,plain,
( spl14_266
| ~ spl14_46
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f909,f877,f425,f2408]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_106 ),
inference(duplicate_literal_removal,[],[f894]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2)) = k5_relat_1(sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_106 ),
inference(resolution,[],[f878,f426]) ).
fof(f2406,plain,
( spl14_265
| ~ spl14_56
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f874,f855,f488,f2404]) ).
fof(f874,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,X1,X2,k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2)) = k5_relat_1(k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_56
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f861]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,X1,X2,k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2)) = k5_relat_1(k11_isocat_2(X0,X1,X3,X4),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_105 ),
inference(resolution,[],[f856,f489]) ).
fof(f2402,plain,
( spl14_264
| ~ spl14_57
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f873,f855,f492,f2400]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,X1,X2,k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,X1))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f862]) ).
fof(f862,plain,
( ! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,X1,X2,k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2)) = k5_relat_1(k12_isocat_2(X0,X3,X1,X4),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_105 ),
inference(resolution,[],[f856,f493]) ).
fof(f2383,plain,
( spl14_263
| ~ spl14_3
| ~ spl14_4
| ~ spl14_156 ),
inference(avatar_split_clause,[],[f1400,f1394,f209,f204,f2380]) ).
fof(f2380,plain,
( spl14_263
<=> k16_cat_2(sK1,k11_cat_2(sK1,sK2)) = k8_isocat_2(sK1,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_263])]) ).
fof(f1400,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(sK1,k11_cat_2(sK1,sK2)) = k8_isocat_2(sK1,k11_cat_2(sK1,sK2))
| ~ spl14_4
| ~ spl14_156 ),
inference(resolution,[],[f1395,f211]) ).
fof(f2375,plain,
( spl14_262
| ~ spl14_45
| ~ spl14_114 ),
inference(avatar_split_clause,[],[f1059,f1018,f421,f2373]) ).
fof(f1018,plain,
( spl14_114
<=> ! [X2,X0,X1] :
( k11_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_114])]) ).
fof(f1059,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,sK8(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_114 ),
inference(duplicate_literal_removal,[],[f1057]) ).
fof(f1057,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k11_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X1,sK8(X2,k11_cat_2(X1,X0)),k8_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_45
| ~ spl14_114 ),
inference(resolution,[],[f1019,f422]) ).
fof(f1019,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_114 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f2371,plain,
( spl14_261
| ~ spl14_45
| ~ spl14_113 ),
inference(avatar_split_clause,[],[f1056,f1014,f421,f2369]) ).
fof(f1014,plain,
( spl14_113
<=> ! [X2,X0,X1] :
( k12_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_113])]) ).
fof(f1056,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,sK8(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0)) )
| ~ spl14_45
| ~ spl14_113 ),
inference(duplicate_literal_removal,[],[f1054]) ).
fof(f1054,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| k12_isocat_2(X2,X1,X0,sK8(X2,k11_cat_2(X1,X0))) = k2_isocat_1(X2,k11_cat_2(X1,X0),X0,sK8(X2,k11_cat_2(X1,X0)),k9_isocat_2(X1,X0))
| ~ v2_cat_1(k11_cat_2(X1,X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_45
| ~ spl14_113 ),
inference(resolution,[],[f1015,f422]) ).
fof(f1015,plain,
( ! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_113 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f2367,plain,
( spl14_260
| ~ spl14_49
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f871,f855,f447,f2365]) ).
fof(f871,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k16_cat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k16_cat_2(X0,X1),sK8(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f864]) ).
fof(f864,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k16_cat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k16_cat_2(X0,X1),sK8(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_49
| ~ spl14_105 ),
inference(resolution,[],[f856,f448]) ).
fof(f2363,plain,
( spl14_259
| ~ spl14_50
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f870,f855,f451,f2361]) ).
fof(f870,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k17_cat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k17_cat_2(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f865]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k17_cat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k17_cat_2(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_105 ),
inference(resolution,[],[f856,f452]) ).
fof(f2359,plain,
( spl14_258
| ~ spl14_51
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f869,f855,f455,f2357]) ).
fof(f869,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k8_isocat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k8_isocat_2(X0,X1),sK8(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f866]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X0,X2,k8_isocat_2(X0,X1),sK8(X0,X2)) = k5_relat_1(k8_isocat_2(X0,X1),sK8(X0,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_51
| ~ spl14_105 ),
inference(resolution,[],[f856,f456]) ).
fof(f2355,plain,
( spl14_257
| ~ spl14_52
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f868,f855,f459,f2353]) ).
fof(f868,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k9_isocat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k9_isocat_2(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f867]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(k11_cat_2(X0,X1),X1,X2,k9_isocat_2(X0,X1),sK8(X1,X2)) = k5_relat_1(k9_isocat_2(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_105 ),
inference(resolution,[],[f856,f460]) ).
fof(f2345,plain,
( spl14_256
| ~ spl14_46
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f875,f855,f425,f2343]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,X1,X2,sK8(X0,X1),sK8(X1,X2)) = k5_relat_1(sK8(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_105 ),
inference(duplicate_literal_removal,[],[f860]) ).
fof(f860,plain,
( ! [X2,X0,X1] :
( k2_isocat_1(X0,X1,X2,sK8(X0,X1),sK8(X1,X2)) = k5_relat_1(sK8(X0,X1),sK8(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_105 ),
inference(resolution,[],[f856,f426]) ).
fof(f2328,plain,
( spl14_255
| ~ spl14_44
| ~ spl14_104 ),
inference(avatar_split_clause,[],[f852,f846,f417,f2326]) ).
fof(f846,plain,
( spl14_104
<=> ! [X2,X0,X1] :
( k17_cat_2(X0,k11_cat_2(X1,X2)) = k9_isocat_2(X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_104])]) ).
fof(f852,plain,
( ! [X2,X0,X1] :
( k17_cat_2(X0,k11_cat_2(X1,X2)) = k9_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_44
| ~ spl14_104 ),
inference(duplicate_literal_removal,[],[f851]) ).
fof(f851,plain,
( ! [X2,X0,X1] :
( k17_cat_2(X0,k11_cat_2(X1,X2)) = k9_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_44
| ~ spl14_104 ),
inference(resolution,[],[f847,f418]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X1,X2))
| k17_cat_2(X0,k11_cat_2(X1,X2)) = k9_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_104 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f2324,plain,
( spl14_254
| ~ spl14_44
| ~ spl14_103 ),
inference(avatar_split_clause,[],[f850,f842,f417,f2322]) ).
fof(f842,plain,
( spl14_103
<=> ! [X2,X0,X1] :
( k16_cat_2(X0,k11_cat_2(X1,X2)) = k8_isocat_2(X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_103])]) ).
fof(f850,plain,
( ! [X2,X0,X1] :
( k16_cat_2(X0,k11_cat_2(X1,X2)) = k8_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_44
| ~ spl14_103 ),
inference(duplicate_literal_removal,[],[f849]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( k16_cat_2(X0,k11_cat_2(X1,X2)) = k8_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_44
| ~ spl14_103 ),
inference(resolution,[],[f843,f418]) ).
fof(f843,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(X1,X2))
| k16_cat_2(X0,k11_cat_2(X1,X2)) = k8_isocat_2(X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_103 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f2290,plain,
( spl14_253
| ~ spl14_54
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f813,f809,f467,f2288]) ).
fof(f467,plain,
( spl14_54
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
fof(f809,plain,
( spl14_97
<=> ! [X0,X3,X2,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_97])]) ).
fof(f813,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,k2_zfmisc_1(u2_cat_1(X2),u2_cat_1(X3)))
| ~ m2_cat_1(X1,X2,X3)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_54
| ~ spl14_97 ),
inference(resolution,[],[f810,f468]) ).
fof(f468,plain,
( ! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_54 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f810,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,X1,X2)
| ~ r2_hidden(X0,X3)
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_97 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f2286,plain,
( spl14_252
| ~ spl14_54
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f806,f802,f467,f2284]) ).
fof(f2284,plain,
( spl14_252
<=> ! [X0,X3,X2,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1)))
| ~ r2_hidden(X2,X3)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_252])]) ).
fof(f802,plain,
( spl14_96
<=> ! [X2,X0,X1,X3] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_96])]) ).
fof(f806,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(u2_cat_1(X0),u2_cat_1(X1)))
| ~ r2_hidden(X2,X3)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_54
| ~ spl14_96 ),
inference(resolution,[],[f803,f468]) ).
fof(f803,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl14_96 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f2272,plain,
( spl14_251
| ~ spl14_134
| ~ spl14_171
| ~ spl14_250 ),
inference(avatar_split_clause,[],[f2268,f2264,f1510,f1259,f2270]) ).
fof(f2270,plain,
( spl14_251
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_251])]) ).
fof(f2264,plain,
( spl14_250
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK4),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_250])]) ).
fof(f2268,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0) )
| ~ spl14_134
| ~ spl14_171
| ~ spl14_250 ),
inference(forward_demodulation,[],[f2267,f1261]) ).
fof(f2267,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k5_relat_1(sK4,k16_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1) )
| ~ spl14_171
| ~ spl14_250 ),
inference(forward_demodulation,[],[f2265,f1512]) ).
fof(f2265,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK4),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1) )
| ~ spl14_250 ),
inference(avatar_component_clause,[],[f2264]) ).
fof(f2266,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_8
| ~ spl14_203
| spl14_250
| ~ spl14_62
| ~ spl14_82 ),
inference(avatar_split_clause,[],[f723,f718,f563,f2264,f1722,f229,f209,f204,f747,f743,f199,f194]) ).
fof(f1722,plain,
( spl14_203
<=> m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_203])]) ).
fof(f563,plain,
( spl14_62
<=> ! [X5,X3,X4,X0,X6,X2,X1] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
fof(f723,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK4),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_82 ),
inference(superposition,[],[f564,f720]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_62 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f2262,plain,
( spl14_249
| ~ spl14_1
| ~ spl14_2
| ~ spl14_156 ),
inference(avatar_split_clause,[],[f1399,f1394,f199,f194,f2259]) ).
fof(f2259,plain,
( spl14_249
<=> k16_cat_2(sK0,k11_cat_2(sK1,sK2)) = k8_isocat_2(sK0,k11_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_249])]) ).
fof(f1399,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(sK0,k11_cat_2(sK1,sK2)) = k8_isocat_2(sK0,k11_cat_2(sK1,sK2))
| ~ spl14_2
| ~ spl14_156 ),
inference(resolution,[],[f1395,f201]) ).
fof(f2247,plain,
( spl14_248
| ~ spl14_134
| ~ spl14_171
| ~ spl14_247 ),
inference(avatar_split_clause,[],[f2243,f2239,f1510,f1259,f2245]) ).
fof(f2239,plain,
( spl14_247
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_247])]) ).
fof(f2243,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4) )
| ~ spl14_134
| ~ spl14_171
| ~ spl14_247 ),
inference(forward_demodulation,[],[f2242,f1261]) ).
fof(f2242,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK4,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)) )
| ~ spl14_171
| ~ spl14_247 ),
inference(forward_demodulation,[],[f2240,f1512]) ).
fof(f2240,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)) )
| ~ spl14_247 ),
inference(avatar_component_clause,[],[f2239]) ).
fof(f2241,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_8
| ~ spl14_203
| spl14_247
| ~ spl14_62
| ~ spl14_82 ),
inference(avatar_split_clause,[],[f722,f718,f563,f2239,f1722,f229,f209,f204,f747,f743,f199,f194]) ).
fof(f722,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k11_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_82 ),
inference(superposition,[],[f564,f720]) ).
fof(f2227,plain,
( spl14_246
| ~ spl14_134
| ~ spl14_173
| ~ spl14_245 ),
inference(avatar_split_clause,[],[f2223,f2219,f1523,f1259,f2225]) ).
fof(f2219,plain,
( spl14_245
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_245])]) ).
fof(f2223,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k16_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0) )
| ~ spl14_134
| ~ spl14_173
| ~ spl14_245 ),
inference(forward_demodulation,[],[f2222,f1261]) ).
fof(f2222,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k5_relat_1(sK3,k16_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1) )
| ~ spl14_173
| ~ spl14_245 ),
inference(forward_demodulation,[],[f2220,f1525]) ).
fof(f2220,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1) )
| ~ spl14_245 ),
inference(avatar_component_clause,[],[f2219]) ).
fof(f2221,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_203
| spl14_245
| ~ spl14_62
| ~ spl14_80 ),
inference(avatar_split_clause,[],[f715,f705,f563,f2219,f1722,f224,f209,f204,f747,f743,f199,f194]) ).
fof(f715,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,k8_isocat_2(sK1,sK2),X1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_80 ),
inference(superposition,[],[f564,f707]) ).
fof(f2207,plain,
( spl14_244
| ~ spl14_134
| ~ spl14_173
| ~ spl14_243 ),
inference(avatar_split_clause,[],[f2203,f2199,f1523,f1259,f2205]) ).
fof(f2199,plain,
( spl14_243
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k11_isocat_2(sK0,sK1,sK2,sK3))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_243])]) ).
fof(f2203,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k16_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3) )
| ~ spl14_134
| ~ spl14_173
| ~ spl14_243 ),
inference(forward_demodulation,[],[f2202,f1261]) ).
fof(f2202,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k5_relat_1(sK3,k16_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)) )
| ~ spl14_173
| ~ spl14_243 ),
inference(forward_demodulation,[],[f2200,f1525]) ).
fof(f2200,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k11_isocat_2(sK0,sK1,sK2,sK3))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2)) )
| ~ spl14_243 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f2201,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_203
| spl14_243
| ~ spl14_62
| ~ spl14_80 ),
inference(avatar_split_clause,[],[f714,f705,f563,f2199,f1722,f224,f209,f204,f747,f743,f199,f194]) ).
fof(f714,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK1,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,X0,X1),k11_isocat_2(sK0,sK1,sK2,sK3))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK1,X1,k8_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_80 ),
inference(superposition,[],[f564,f707]) ).
fof(f2183,plain,
( spl14_242
| ~ spl14_143
| ~ spl14_175
| ~ spl14_241 ),
inference(avatar_split_clause,[],[f2179,f2175,f1537,f1318,f2181]) ).
fof(f2181,plain,
( spl14_242
<=> ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_242])]) ).
fof(f2175,plain,
( spl14_241
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK4),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_241])]) ).
fof(f2179,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0) )
| ~ spl14_143
| ~ spl14_175
| ~ spl14_241 ),
inference(forward_demodulation,[],[f2178,f1320]) ).
fof(f2178,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k5_relat_1(sK4,k17_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1) )
| ~ spl14_175
| ~ spl14_241 ),
inference(forward_demodulation,[],[f2176,f1539]) ).
fof(f2176,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK4),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1) )
| ~ spl14_241 ),
inference(avatar_component_clause,[],[f2175]) ).
fof(f2177,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_197
| spl14_241
| ~ spl14_62
| ~ spl14_79 ),
inference(avatar_split_clause,[],[f702,f697,f563,f2175,f1689,f229,f219,f214,f747,f743,f199,f194]) ).
fof(f1689,plain,
( spl14_197
<=> m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_197])]) ).
fof(f702,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK4),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK4,X0)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_79 ),
inference(superposition,[],[f564,f699]) ).
fof(f2163,plain,
( spl14_240
| ~ spl14_143
| ~ spl14_175
| ~ spl14_239 ),
inference(avatar_split_clause,[],[f2159,f2155,f1537,f1318,f2161]) ).
fof(f2155,plain,
( spl14_239
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_239])]) ).
fof(f2159,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4) )
| ~ spl14_143
| ~ spl14_175
| ~ spl14_239 ),
inference(forward_demodulation,[],[f2158,f1320]) ).
fof(f2158,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK4,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)) )
| ~ spl14_175
| ~ spl14_239 ),
inference(forward_demodulation,[],[f2156,f1539]) ).
fof(f2156,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)) )
| ~ spl14_239 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f2157,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_197
| spl14_239
| ~ spl14_62
| ~ spl14_79 ),
inference(avatar_split_clause,[],[f701,f697,f563,f2155,f1689,f229,f219,f214,f747,f743,f199,f194]) ).
fof(f701,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK4)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_79 ),
inference(superposition,[],[f564,f699]) ).
fof(f2143,plain,
( spl14_238
| ~ spl14_143
| ~ spl14_177
| ~ spl14_237 ),
inference(avatar_split_clause,[],[f2139,f2135,f1550,f1318,f2141]) ).
fof(f2135,plain,
( spl14_237
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_237])]) ).
fof(f2139,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k17_cat_2(sK1,sK2),X1)
| r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0) )
| ~ spl14_143
| ~ spl14_177
| ~ spl14_237 ),
inference(forward_demodulation,[],[f2138,f1320]) ).
fof(f2138,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k5_relat_1(sK3,k17_cat_2(sK1,sK2)),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1) )
| ~ spl14_177
| ~ spl14_237 ),
inference(forward_demodulation,[],[f2136,f1552]) ).
fof(f2136,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1) )
| ~ spl14_237 ),
inference(avatar_component_clause,[],[f2135]) ).
fof(f2137,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_197
| spl14_237
| ~ spl14_62
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f694,f689,f563,f2135,f1689,f224,f219,f214,f747,f743,f199,f194]) ).
fof(f694,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,k9_isocat_2(sK1,sK2),X1)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X0)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_78 ),
inference(superposition,[],[f564,f691]) ).
fof(f2123,plain,
( spl14_236
| ~ spl14_143
| ~ spl14_177
| ~ spl14_234 ),
inference(avatar_split_clause,[],[f2114,f2110,f1550,f1318,f2121]) ).
fof(f2110,plain,
( spl14_234
<=> ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k12_isocat_2(sK0,sK1,sK2,sK3))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_234])]) ).
fof(f2114,plain,
( ! [X0,X1] :
( ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k17_cat_2(sK1,sK2))
| r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3) )
| ~ spl14_143
| ~ spl14_177
| ~ spl14_234 ),
inference(forward_demodulation,[],[f2113,f1320]) ).
fof(f2113,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k5_relat_1(sK3,k17_cat_2(sK1,sK2)))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)) )
| ~ spl14_177
| ~ spl14_234 ),
inference(forward_demodulation,[],[f2111,f1552]) ).
fof(f2111,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k12_isocat_2(sK0,sK1,sK2,sK3))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2)) )
| ~ spl14_234 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f2119,plain,
( ~ spl14_5
| ~ spl14_6
| spl14_235
| ~ spl14_52
| ~ spl14_144 ),
inference(avatar_split_clause,[],[f1331,f1326,f459,f2116,f219,f214]) ).
fof(f2116,plain,
( spl14_235
<=> m2_cat_1(k17_cat_2(sK2,sK2),k11_cat_2(sK2,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_235])]) ).
fof(f1331,plain,
( m2_cat_1(k17_cat_2(sK2,sK2),k11_cat_2(sK2,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_52
| ~ spl14_144 ),
inference(duplicate_literal_removal,[],[f1330]) ).
fof(f1330,plain,
( m2_cat_1(k17_cat_2(sK2,sK2),k11_cat_2(sK2,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_52
| ~ spl14_144 ),
inference(superposition,[],[f460,f1328]) ).
fof(f2112,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_197
| spl14_234
| ~ spl14_62
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f693,f689,f563,f2110,f1689,f224,f219,f214,f747,f743,f199,f194]) ).
fof(f693,plain,
( ! [X0,X1] :
( r2_nattra_1(sK0,sK2,k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,X0,X1),k12_isocat_2(sK0,sK1,sK2,sK3))
| ~ r2_nattra_1(k11_cat_2(sK1,sK2),sK2,X1,k9_isocat_2(sK1,sK2))
| ~ r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X0,sK3)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(X1,k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ m2_cat_1(X0,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_62
| ~ spl14_78 ),
inference(superposition,[],[f564,f691]) ).
fof(f2107,plain,
( spl14_233
| ~ spl14_92
| ~ spl14_100 ),
inference(avatar_split_clause,[],[f827,f824,f772,f2105]) ).
fof(f2105,plain,
( spl14_233
<=> ! [X0,X3,X2,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,X3)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_233])]) ).
fof(f772,plain,
( spl14_92
<=> ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_92])]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,X3)
| ~ r1_tarski(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X3) )
| ~ spl14_92
| ~ spl14_100 ),
inference(resolution,[],[f825,f773]) ).
fof(f773,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,X2)
| m1_subset_1(X0,X1)
| ~ r1_tarski(X2,X1) )
| ~ spl14_92 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f2101,plain,
( spl14_232
| ~ spl14_23
| ~ spl14_100 ),
inference(avatar_split_clause,[],[f831,f824,f299,f2099]) ).
fof(f299,plain,
( spl14_23
<=> ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1)
| ~ r2_hidden(k1_zfmisc_1(k2_zfmisc_1(X0,X1)),X2) )
| ~ spl14_23
| ~ spl14_100 ),
inference(resolution,[],[f825,f300]) ).
fof(f300,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f2083,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_231
| ~ spl14_7
| ~ spl14_125
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f1902,f1318,f1164,f224,f2081,f219,f214,f209,f204,f747,f743,f199,f194]) ).
fof(f1902,plain,
( ! [X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_125
| ~ spl14_143 ),
inference(forward_demodulation,[],[f1200,f1320]) ).
fof(f1200,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_125 ),
inference(resolution,[],[f1165,f226]) ).
fof(f2065,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_230
| ~ spl14_8
| ~ spl14_125
| ~ spl14_143 ),
inference(avatar_split_clause,[],[f1901,f1318,f1164,f229,f2063,f219,f214,f209,f204,f747,f743,f199,f194]) ).
fof(f1901,plain,
( ! [X0,X1] :
( k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_125
| ~ spl14_143 ),
inference(forward_demodulation,[],[f1201,f1320]) ).
fof(f1201,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k12_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k9_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_125 ),
inference(resolution,[],[f1165,f231]) ).
fof(f2043,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_229
| ~ spl14_7
| ~ spl14_131
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1900,f1259,f1189,f224,f2041,f219,f214,f209,f204,f747,f743,f199,f194]) ).
fof(f1900,plain,
( ! [X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_131
| ~ spl14_134 ),
inference(forward_demodulation,[],[f1228,f1261]) ).
fof(f1228,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_131 ),
inference(resolution,[],[f1190,f226]) ).
fof(f2025,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_228
| ~ spl14_8
| ~ spl14_131
| ~ spl14_134 ),
inference(avatar_split_clause,[],[f1899,f1259,f1189,f229,f2023,f219,f214,f209,f204,f747,f743,f199,f194]) ).
fof(f1899,plain,
( ! [X0,X1] :
( k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_131
| ~ spl14_134 ),
inference(forward_demodulation,[],[f1229,f1261]) ).
fof(f1229,plain,
( ! [X0,X1] :
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| k11_isocat_2(X0,sK1,sK2,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4)) = k2_isocat_1(X0,k11_cat_2(sK1,sK2),sK1,k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4),k8_isocat_2(sK1,sK2))
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_131 ),
inference(resolution,[],[f1190,f231]) ).
fof(f1993,plain,
( spl14_227
| ~ spl14_54
| ~ spl14_77 ),
inference(avatar_split_clause,[],[f686,f675,f467,f1991]) ).
fof(f675,plain,
( spl14_77
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
fof(f686,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_54
| ~ spl14_77 ),
inference(resolution,[],[f676,f468]) ).
fof(f676,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl14_77 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f1975,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_226
| ~ spl14_8
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1065,f1061,f229,f1973,f747,f743,f199,f194]) ).
fof(f1065,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK4)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK4))
| ~ m2_cat_1(X3,X2,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_116 ),
inference(resolution,[],[f1062,f231]) ).
fof(f1957,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_225
| ~ spl14_7
| ~ spl14_116 ),
inference(avatar_split_clause,[],[f1064,f1061,f224,f1955,f747,f743,f199,f194]) ).
fof(f1064,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| k2_isocat_1(X1,X2,k11_cat_2(sK1,sK2),X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK3)) = k5_relat_1(X0,k2_isocat_1(X2,sK0,k11_cat_2(sK1,sK2),X3,sK3))
| ~ m2_cat_1(X3,X2,sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_116 ),
inference(resolution,[],[f1062,f226]) ).
fof(f1952,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_224
| ~ spl14_52
| ~ spl14_140 ),
inference(avatar_split_clause,[],[f1304,f1299,f459,f1949,f209,f204]) ).
fof(f1949,plain,
( spl14_224
<=> m2_cat_1(k17_cat_2(sK1,sK1),k11_cat_2(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_224])]) ).
fof(f1304,plain,
( m2_cat_1(k17_cat_2(sK1,sK1),k11_cat_2(sK1,sK1),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_52
| ~ spl14_140 ),
inference(duplicate_literal_removal,[],[f1303]) ).
fof(f1303,plain,
( m2_cat_1(k17_cat_2(sK1,sK1),k11_cat_2(sK1,sK1),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_52
| ~ spl14_140 ),
inference(superposition,[],[f460,f1301]) ).
fof(f1946,plain,
( spl14_223
| ~ spl14_92
| ~ spl14_95 ),
inference(avatar_split_clause,[],[f796,f788,f772,f1944]) ).
fof(f1944,plain,
( spl14_223
<=> ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK5(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_223])]) ).
fof(f788,plain,
( spl14_95
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_95])]) ).
fof(f796,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| m1_subset_1(sK5(X0),X1)
| ~ r1_tarski(k1_zfmisc_1(X0),X1) )
| ~ spl14_92
| ~ spl14_95 ),
inference(resolution,[],[f789,f773]) ).
fof(f789,plain,
( ! [X0] :
( r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl14_95 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f1942,plain,
( spl14_222
| ~ spl14_92
| ~ spl14_94 ),
inference(avatar_split_clause,[],[f791,f784,f772,f1940]) ).
fof(f1940,plain,
( spl14_222
<=> ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_222])]) ).
fof(f791,plain,
( ! [X2,X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| m1_subset_1(X1,X2)
| ~ r1_tarski(k1_zfmisc_1(X0),X2) )
| ~ spl14_92
| ~ spl14_94 ),
inference(resolution,[],[f785,f773]) ).
fof(f1924,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_221
| ~ spl14_58
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f983,f972,f501,f1922,f199,f194]) ).
fof(f972,plain,
( spl14_110
<=> ! [X0,X1] :
( k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4) = k5_relat_1(X1,sK4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_110])]) ).
fof(f983,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK4)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_110 ),
inference(duplicate_literal_removal,[],[f978]) ).
fof(f978,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK4) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK4)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_110 ),
inference(resolution,[],[f973,f502]) ).
fof(f973,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4) = k5_relat_1(X1,sK4) )
| ~ spl14_110 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f1917,plain,
( spl14_205
| ~ spl14_173
| ~ spl14_204 ),
inference(avatar_split_clause,[],[f1908,f1726,f1523,f1733]) ).
fof(f1726,plain,
( spl14_204
<=> m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK3),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_204])]) ).
fof(f1908,plain,
( m2_cat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK0,sK1)
| ~ spl14_173
| ~ spl14_204 ),
inference(forward_demodulation,[],[f1728,f1525]) ).
fof(f1728,plain,
( m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK3),sK0,sK1)
| ~ spl14_204 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1913,plain,
( spl14_208
| ~ spl14_171
| ~ spl14_207 ),
inference(avatar_split_clause,[],[f1907,f1744,f1510,f1750]) ).
fof(f1744,plain,
( spl14_207
<=> m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK4),sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_207])]) ).
fof(f1907,plain,
( m2_cat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK0,sK1)
| ~ spl14_171
| ~ spl14_207 ),
inference(forward_demodulation,[],[f1746,f1512]) ).
fof(f1746,plain,
( m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK4),sK0,sK1)
| ~ spl14_207 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1898,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_49
| spl14_206 ),
inference(avatar_split_clause,[],[f1742,f1738,f447,f219,f214,f209,f204]) ).
fof(f1742,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_49
| spl14_206 ),
inference(resolution,[],[f1740,f448]) ).
fof(f1740,plain,
( ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| spl14_206 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f1883,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_220
| ~ spl14_58
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f967,f751,f501,f1881,f199,f194]) ).
fof(f751,plain,
( spl14_88
<=> ! [X0,X1] :
( k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3) = k5_relat_1(X1,sK3)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X1,X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).
fof(f967,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK3)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_88 ),
inference(duplicate_literal_removal,[],[f962]) ).
fof(f962,plain,
( ! [X2,X3,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k2_isocat_1(X0,X1,sK0,X2,X3),sK3) = k5_relat_1(k2_isocat_1(X0,X1,sK0,X2,X3),sK3)
| ~ m2_cat_1(X3,X1,sK0)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_88 ),
inference(resolution,[],[f752,f502]) ).
fof(f752,plain,
( ! [X0,X1] :
( ~ m2_cat_1(X1,X0,sK0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3) = k5_relat_1(X1,sK3) )
| ~ spl14_88 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f1874,plain,
( spl14_199
| ~ spl14_177
| ~ spl14_198 ),
inference(avatar_split_clause,[],[f1865,f1693,f1550,f1700]) ).
fof(f1693,plain,
( spl14_198
<=> m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK3),sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_198])]) ).
fof(f1865,plain,
( m2_cat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ spl14_177
| ~ spl14_198 ),
inference(forward_demodulation,[],[f1695,f1552]) ).
fof(f1695,plain,
( m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK3),sK0,sK2)
| ~ spl14_198 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1870,plain,
( spl14_202
| ~ spl14_175
| ~ spl14_201 ),
inference(avatar_split_clause,[],[f1864,f1711,f1537,f1717]) ).
fof(f1711,plain,
( spl14_201
<=> m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK4),sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_201])]) ).
fof(f1864,plain,
( m2_cat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ spl14_175
| ~ spl14_201 ),
inference(forward_demodulation,[],[f1713,f1539]) ).
fof(f1713,plain,
( m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK4),sK0,sK2)
| ~ spl14_201 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1863,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_50
| spl14_200 ),
inference(avatar_split_clause,[],[f1709,f1705,f451,f219,f214,f209,f204]) ).
fof(f1709,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_50
| spl14_200 ),
inference(resolution,[],[f1707,f452]) ).
fof(f1707,plain,
( ~ m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| spl14_200 ),
inference(avatar_component_clause,[],[f1705]) ).
fof(f1850,plain,
( spl14_219
| ~ spl14_76
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f814,f809,f671,f1848]) ).
fof(f671,plain,
( spl14_76
<=> ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK9(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_76
| ~ spl14_97 ),
inference(resolution,[],[f810,f672]) ).
fof(f672,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl14_76 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f1846,plain,
( spl14_218
| ~ spl14_27
| ~ spl14_97 ),
inference(avatar_split_clause,[],[f812,f809,f316,f1844]) ).
fof(f316,plain,
( spl14_27
<=> ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f812,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X0,sK10(X1,X2))
| m1_subset_1(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_27
| ~ spl14_97 ),
inference(resolution,[],[f810,f317]) ).
fof(f317,plain,
( ! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1)
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f1842,plain,
( spl14_217
| ~ spl14_23
| ~ spl14_95 ),
inference(avatar_split_clause,[],[f800,f788,f299,f1840]) ).
fof(f1840,plain,
( spl14_217
<=> ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_217])]) ).
fof(f800,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ r2_hidden(k1_zfmisc_1(X0),sK5(X0)) )
| ~ spl14_23
| ~ spl14_95 ),
inference(resolution,[],[f789,f300]) ).
fof(f1838,plain,
( spl14_216
| ~ spl14_23
| ~ spl14_94 ),
inference(avatar_split_clause,[],[f795,f784,f299,f1836]) ).
fof(f795,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0)
| ~ r2_hidden(k1_zfmisc_1(X0),X1) )
| ~ spl14_23
| ~ spl14_94 ),
inference(resolution,[],[f785,f300]) ).
fof(f1834,plain,
( spl14_215
| ~ spl14_73
| ~ spl14_93 ),
inference(avatar_split_clause,[],[f782,f776,f659,f1832]) ).
fof(f776,plain,
( spl14_93
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK5(X1))
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_93])]) ).
fof(f782,plain,
( ! [X0] :
( m1_subset_1(sK6(sK5(X0)),X0)
| v1_xboole_0(X0)
| v1_xboole_0(sK5(X0)) )
| ~ spl14_73
| ~ spl14_93 ),
inference(resolution,[],[f777,f660]) ).
fof(f777,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK5(X1))
| m1_subset_1(X0,X1)
| v1_xboole_0(X1) )
| ~ spl14_93 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f1830,plain,
( spl14_214
| ~ spl14_83
| ~ spl14_92 ),
inference(avatar_split_clause,[],[f780,f772,f726,f1828]) ).
fof(f1828,plain,
( spl14_214
<=> ! [X0,X1] :
( m1_subset_1(sK13,X0)
| ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_214])]) ).
fof(f726,plain,
( spl14_83
<=> ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
fof(f780,plain,
( ! [X0,X1] :
( m1_subset_1(sK13,X0)
| ~ r1_tarski(k1_zfmisc_1(X1),X0)
| v1_xboole_0(k1_zfmisc_1(X1)) )
| ~ spl14_83
| ~ spl14_92 ),
inference(resolution,[],[f773,f727]) ).
fof(f727,plain,
( ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl14_83 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f1821,plain,
( spl14_213
| ~ spl14_73
| ~ spl14_90 ),
inference(avatar_split_clause,[],[f766,f761,f659,f1819]) ).
fof(f761,plain,
( spl14_90
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_90])]) ).
fof(f766,plain,
( ! [X0] :
( m1_subset_1(sK6(sK6(k1_zfmisc_1(X0))),X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl14_73
| ~ spl14_90 ),
inference(resolution,[],[f762,f660]) ).
fof(f762,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1)))
| m1_subset_1(X0,X1) )
| ~ spl14_90 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f1805,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_212
| ~ spl14_56
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f985,f972,f488,f1803,f199,f194]) ).
fof(f985,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK4)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_110 ),
inference(duplicate_literal_removal,[],[f976]) ).
fof(f976,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK4) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK4)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_110 ),
inference(resolution,[],[f973,f489]) ).
fof(f1789,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_211
| ~ spl14_57
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f984,f972,f492,f1787,f199,f194]) ).
fof(f984,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK4)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_110 ),
inference(duplicate_literal_removal,[],[f977]) ).
fof(f977,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK4) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK4)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_110 ),
inference(resolution,[],[f973,f493]) ).
fof(f1773,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_210
| ~ spl14_56
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f969,f751,f488,f1771,f199,f194]) ).
fof(f969,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK3)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_56
| ~ spl14_88 ),
inference(duplicate_literal_removal,[],[f960]) ).
fof(f960,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k11_isocat_2(X0,sK0,X1,X2),sK3) = k5_relat_1(k11_isocat_2(X0,sK0,X1,X2),sK3)
| ~ m2_cat_1(X2,X0,k11_cat_2(sK0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_88 ),
inference(resolution,[],[f752,f489]) ).
fof(f1757,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_209
| ~ spl14_57
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f968,f751,f492,f1755,f199,f194]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK3)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_88 ),
inference(duplicate_literal_removal,[],[f961]) ).
fof(f961,plain,
( ! [X2,X0,X1] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),k12_isocat_2(X0,X1,sK0,X2),sK3) = k5_relat_1(k12_isocat_2(X0,X1,sK0,X2),sK3)
| ~ m2_cat_1(X2,X0,k11_cat_2(X1,sK0))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_88 ),
inference(resolution,[],[f752,f493]) ).
fof(f1753,plain,
( ~ spl14_208
| ~ spl14_171
| spl14_207 ),
inference(avatar_split_clause,[],[f1748,f1744,f1510,f1750]) ).
fof(f1748,plain,
( ~ m2_cat_1(k5_relat_1(sK4,k16_cat_2(sK1,sK2)),sK0,sK1)
| ~ spl14_171
| spl14_207 ),
inference(forward_demodulation,[],[f1745,f1512]) ).
fof(f1745,plain,
( ~ m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK4),sK0,sK1)
| spl14_207 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1747,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_8
| ~ spl14_203
| spl14_207
| ~ spl14_58
| ~ spl14_82 ),
inference(avatar_split_clause,[],[f724,f718,f501,f1744,f1722,f229,f209,f204,f747,f743,f199,f194]) ).
fof(f724,plain,
( m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK4),sK0,sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_58
| ~ spl14_82 ),
inference(superposition,[],[f502,f720]) ).
fof(f1741,plain,
( ~ spl14_206
| ~ spl14_134
| spl14_203 ),
inference(avatar_split_clause,[],[f1731,f1722,f1259,f1738]) ).
fof(f1731,plain,
( ~ m2_cat_1(k16_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ spl14_134
| spl14_203 ),
inference(forward_demodulation,[],[f1724,f1261]) ).
fof(f1724,plain,
( ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| spl14_203 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f1736,plain,
( ~ spl14_205
| ~ spl14_173
| spl14_204 ),
inference(avatar_split_clause,[],[f1730,f1726,f1523,f1733]) ).
fof(f1730,plain,
( ~ m2_cat_1(k5_relat_1(sK3,k16_cat_2(sK1,sK2)),sK0,sK1)
| ~ spl14_173
| spl14_204 ),
inference(forward_demodulation,[],[f1727,f1525]) ).
fof(f1727,plain,
( ~ m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK3),sK0,sK1)
| spl14_204 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1729,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_203
| spl14_204
| ~ spl14_58
| ~ spl14_80 ),
inference(avatar_split_clause,[],[f716,f705,f501,f1726,f1722,f224,f209,f204,f747,f743,f199,f194]) ).
fof(f716,plain,
( m2_cat_1(k11_isocat_2(sK0,sK1,sK2,sK3),sK0,sK1)
| ~ m2_cat_1(k8_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK1)
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_58
| ~ spl14_80 ),
inference(superposition,[],[f502,f707]) ).
fof(f1720,plain,
( ~ spl14_202
| ~ spl14_175
| spl14_201 ),
inference(avatar_split_clause,[],[f1715,f1711,f1537,f1717]) ).
fof(f1715,plain,
( ~ m2_cat_1(k5_relat_1(sK4,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ spl14_175
| spl14_201 ),
inference(forward_demodulation,[],[f1712,f1539]) ).
fof(f1712,plain,
( ~ m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK4),sK0,sK2)
| spl14_201 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1714,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| ~ spl14_8
| ~ spl14_197
| spl14_201
| ~ spl14_58
| ~ spl14_79 ),
inference(avatar_split_clause,[],[f703,f697,f501,f1711,f1689,f229,f219,f214,f747,f743,f199,f194]) ).
fof(f703,plain,
( m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK4),sK0,sK2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_58
| ~ spl14_79 ),
inference(superposition,[],[f502,f699]) ).
fof(f1708,plain,
( ~ spl14_200
| ~ spl14_143
| spl14_197 ),
inference(avatar_split_clause,[],[f1698,f1689,f1318,f1705]) ).
fof(f1698,plain,
( ~ m2_cat_1(k17_cat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ spl14_143
| spl14_197 ),
inference(forward_demodulation,[],[f1691,f1320]) ).
fof(f1691,plain,
( ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| spl14_197 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1703,plain,
( ~ spl14_199
| ~ spl14_177
| spl14_198 ),
inference(avatar_split_clause,[],[f1697,f1693,f1550,f1700]) ).
fof(f1697,plain,
( ~ m2_cat_1(k5_relat_1(sK3,k17_cat_2(sK1,sK2)),sK0,sK2)
| ~ spl14_177
| spl14_198 ),
inference(forward_demodulation,[],[f1694,f1552]) ).
fof(f1694,plain,
( ~ m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK3),sK0,sK2)
| spl14_198 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1696,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| ~ spl14_7
| ~ spl14_197
| spl14_198
| ~ spl14_58
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f695,f689,f501,f1693,f1689,f224,f219,f214,f747,f743,f199,f194]) ).
fof(f695,plain,
( m2_cat_1(k12_isocat_2(sK0,sK1,sK2,sK3),sK0,sK2)
| ~ m2_cat_1(k9_isocat_2(sK1,sK2),k11_cat_2(sK1,sK2),sK2)
| ~ m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_58
| ~ spl14_78 ),
inference(superposition,[],[f502,f691]) ).
fof(f1681,plain,
( spl14_196
| ~ spl14_76
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f807,f802,f671,f1679]) ).
fof(f807,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK9(X0,X1)) )
| ~ spl14_76
| ~ spl14_96 ),
inference(resolution,[],[f803,f672]) ).
fof(f1677,plain,
( spl14_195
| ~ spl14_27
| ~ spl14_96 ),
inference(avatar_split_clause,[],[f805,f802,f316,f1675]) ).
fof(f805,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| ~ r2_hidden(X2,sK10(X0,X1)) )
| ~ spl14_27
| ~ spl14_96 ),
inference(resolution,[],[f803,f317]) ).
fof(f1673,plain,
( spl14_194
| ~ spl14_73
| ~ spl14_92 ),
inference(avatar_split_clause,[],[f779,f772,f659,f1671]) ).
fof(f779,plain,
( ! [X0,X1] :
( m1_subset_1(sK6(X0),X1)
| ~ r1_tarski(X0,X1)
| v1_xboole_0(X0) )
| ~ spl14_73
| ~ spl14_92 ),
inference(resolution,[],[f773,f660]) ).
fof(f1666,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_193
| ~ spl14_52
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f1279,f1274,f459,f1663,f199,f194]) ).
fof(f1274,plain,
( spl14_136
<=> k17_cat_2(sK0,sK0) = k9_isocat_2(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_136])]) ).
fof(f1279,plain,
( m2_cat_1(k17_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_52
| ~ spl14_136 ),
inference(duplicate_literal_removal,[],[f1278]) ).
fof(f1278,plain,
( m2_cat_1(k17_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_52
| ~ spl14_136 ),
inference(superposition,[],[f460,f1276]) ).
fof(f1276,plain,
( k17_cat_2(sK0,sK0) = k9_isocat_2(sK0,sK0)
| ~ spl14_136 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1661,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_192
| ~ spl14_8
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f988,f889,f229,f1658,f209,f204,f747,f743,f199,f194,f219,f214]) ).
fof(f1658,plain,
( spl14_192
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k16_cat_2(sK1,sK2)) = k5_relat_1(sK4,k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_192])]) ).
fof(f988,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k16_cat_2(sK1,sK2)) = k5_relat_1(sK4,k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_8
| ~ spl14_109 ),
inference(resolution,[],[f890,f231]) ).
fof(f1653,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_191
| ~ spl14_7
| ~ spl14_109 ),
inference(avatar_split_clause,[],[f987,f889,f224,f1650,f209,f204,f747,f743,f199,f194,f219,f214]) ).
fof(f1650,plain,
( spl14_191
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k16_cat_2(sK1,sK2)) = k5_relat_1(sK3,k16_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_191])]) ).
fof(f987,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k16_cat_2(sK1,sK2)) = k5_relat_1(sK3,k16_cat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_7
| ~ spl14_109 ),
inference(resolution,[],[f890,f226]) ).
fof(f1645,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_190
| ~ spl14_8
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f929,f885,f229,f1642,f219,f214,f747,f743,f199,f194,f209,f204]) ).
fof(f1642,plain,
( spl14_190
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k17_cat_2(sK1,sK2)) = k5_relat_1(sK4,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_190])]) ).
fof(f929,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k17_cat_2(sK1,sK2)) = k5_relat_1(sK4,k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_8
| ~ spl14_108 ),
inference(resolution,[],[f886,f231]) ).
fof(f1637,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_189
| ~ spl14_7
| ~ spl14_108 ),
inference(avatar_split_clause,[],[f928,f885,f224,f1634,f219,f214,f747,f743,f199,f194,f209,f204]) ).
fof(f1634,plain,
( spl14_189
<=> k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k17_cat_2(sK1,sK2)) = k5_relat_1(sK3,k17_cat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_189])]) ).
fof(f928,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k17_cat_2(sK1,sK2)) = k5_relat_1(sK3,k17_cat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_7
| ~ spl14_108 ),
inference(resolution,[],[f886,f226]) ).
fof(f1626,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_188
| ~ spl14_8
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f859,f855,f229,f1624,f747,f743,f199,f194]) ).
fof(f859,plain,
( ! [X0] :
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK4,sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(sK4,sK8(k11_cat_2(sK1,sK2),X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_8
| ~ spl14_105 ),
inference(resolution,[],[f856,f231]) ).
fof(f1613,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_187
| ~ spl14_7
| ~ spl14_105 ),
inference(avatar_split_clause,[],[f858,f855,f224,f1611,f747,f743,f199,f194]) ).
fof(f858,plain,
( ! [X0] :
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),X0,sK3,sK8(k11_cat_2(sK1,sK2),X0)) = k5_relat_1(sK3,sK8(k11_cat_2(sK1,sK2),X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_7
| ~ spl14_105 ),
inference(resolution,[],[f856,f226]) ).
fof(f1607,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_186
| ~ spl14_52
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f982,f972,f459,f1605,f199,f194]) ).
fof(f982,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK4) = k5_relat_1(k9_isocat_2(X0,sK0),sK4)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_110 ),
inference(resolution,[],[f973,f460]) ).
fof(f1601,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_185
| ~ spl14_51
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f981,f972,f455,f1599,f199,f194]) ).
fof(f981,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK4) = k5_relat_1(k8_isocat_2(sK0,X0),sK4)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_110 ),
inference(resolution,[],[f973,f456]) ).
fof(f1595,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_184
| ~ spl14_50
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f980,f972,f451,f1593,f199,f194]) ).
fof(f980,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK4) = k5_relat_1(k17_cat_2(X0,sK0),sK4)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_110 ),
inference(resolution,[],[f973,f452]) ).
fof(f1589,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_183
| ~ spl14_49
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f979,f972,f447,f1587,f199,f194]) ).
fof(f979,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK4) = k5_relat_1(k16_cat_2(sK0,X0),sK4)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_110 ),
inference(resolution,[],[f973,f448]) ).
fof(f1583,plain,
( ~ spl14_5
| ~ spl14_6
| spl14_182
| ~ spl14_51
| ~ spl14_135 ),
inference(avatar_split_clause,[],[f1272,f1267,f455,f1580,f219,f214]) ).
fof(f1267,plain,
( spl14_135
<=> k16_cat_2(sK2,sK2) = k8_isocat_2(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_135])]) ).
fof(f1272,plain,
( m2_cat_1(k16_cat_2(sK2,sK2),k11_cat_2(sK2,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_51
| ~ spl14_135 ),
inference(duplicate_literal_removal,[],[f1271]) ).
fof(f1271,plain,
( m2_cat_1(k16_cat_2(sK2,sK2),k11_cat_2(sK2,sK2),sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_51
| ~ spl14_135 ),
inference(superposition,[],[f456,f1269]) ).
fof(f1269,plain,
( k16_cat_2(sK2,sK2) = k8_isocat_2(sK2,sK2)
| ~ spl14_135 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1578,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_181
| ~ spl14_52
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f966,f751,f459,f1576,f199,f194]) ).
fof(f966,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k9_isocat_2(X0,sK0),sK3) = k5_relat_1(k9_isocat_2(X0,sK0),sK3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_88 ),
inference(resolution,[],[f752,f460]) ).
fof(f1572,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_180
| ~ spl14_51
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f965,f751,f455,f1570,f199,f194]) ).
fof(f965,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k8_isocat_2(sK0,X0),sK3) = k5_relat_1(k8_isocat_2(sK0,X0),sK3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_51
| ~ spl14_88 ),
inference(resolution,[],[f752,f456]) ).
fof(f1566,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_179
| ~ spl14_50
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f964,f751,f451,f1564,f199,f194]) ).
fof(f964,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(X0,sK0))
| ~ l1_cat_1(k11_cat_2(X0,sK0))
| k2_isocat_1(k11_cat_2(X0,sK0),sK0,k11_cat_2(sK1,sK2),k17_cat_2(X0,sK0),sK3) = k5_relat_1(k17_cat_2(X0,sK0),sK3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_88 ),
inference(resolution,[],[f752,f452]) ).
fof(f1560,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_178
| ~ spl14_49
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f963,f751,f447,f1558,f199,f194]) ).
fof(f963,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK0,X0))
| ~ l1_cat_1(k11_cat_2(sK0,X0))
| k2_isocat_1(k11_cat_2(sK0,X0),sK0,k11_cat_2(sK1,sK2),k16_cat_2(sK0,X0),sK3) = k5_relat_1(k16_cat_2(sK0,X0),sK3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_49
| ~ spl14_88 ),
inference(resolution,[],[f752,f448]) ).
fof(f1553,plain,
( spl14_177
| ~ spl14_143
| ~ spl14_176 ),
inference(avatar_split_clause,[],[f1548,f1544,f1318,f1550]) ).
fof(f1544,plain,
( spl14_176
<=> k12_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_176])]) ).
fof(f1548,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k17_cat_2(sK1,sK2))
| ~ spl14_143
| ~ spl14_176 ),
inference(forward_demodulation,[],[f1546,f1320]) ).
fof(f1546,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2))
| ~ spl14_176 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1547,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_176
| ~ spl14_7
| ~ spl14_78
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f950,f877,f689,f224,f1544,f219,f214,f747,f743,f199,f194,f209,f204]) ).
fof(f950,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_7
| ~ spl14_78
| ~ spl14_106 ),
inference(forward_demodulation,[],[f892,f691]) ).
fof(f892,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_7
| ~ spl14_106 ),
inference(resolution,[],[f878,f226]) ).
fof(f1540,plain,
( spl14_175
| ~ spl14_143
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f1535,f1531,f1318,f1537]) ).
fof(f1531,plain,
( spl14_174
<=> k12_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_174])]) ).
fof(f1535,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k17_cat_2(sK1,sK2))
| ~ spl14_143
| ~ spl14_174 ),
inference(forward_demodulation,[],[f1533,f1320]) ).
fof(f1533,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2))
| ~ spl14_174 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f1534,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_5
| ~ spl14_6
| spl14_174
| ~ spl14_8
| ~ spl14_79
| ~ spl14_106 ),
inference(avatar_split_clause,[],[f949,f877,f697,f229,f1531,f219,f214,f747,f743,f199,f194,f209,f204]) ).
fof(f949,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_8
| ~ spl14_79
| ~ spl14_106 ),
inference(forward_demodulation,[],[f893,f699]) ).
fof(f893,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_8
| ~ spl14_106 ),
inference(resolution,[],[f878,f231]) ).
fof(f1526,plain,
( spl14_173
| ~ spl14_134
| ~ spl14_172 ),
inference(avatar_split_clause,[],[f1521,f1517,f1259,f1523]) ).
fof(f1517,plain,
( spl14_172
<=> k11_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_172])]) ).
fof(f1521,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k16_cat_2(sK1,sK2))
| ~ spl14_134
| ~ spl14_172 ),
inference(forward_demodulation,[],[f1519,f1261]) ).
fof(f1519,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2))
| ~ spl14_172 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1520,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_172
| ~ spl14_7
| ~ spl14_80
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f948,f881,f705,f224,f1517,f209,f204,f747,f743,f199,f194,f219,f214]) ).
fof(f948,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_7
| ~ spl14_80
| ~ spl14_107 ),
inference(forward_demodulation,[],[f910,f707]) ).
fof(f910,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK3,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_7
| ~ spl14_107 ),
inference(resolution,[],[f882,f226]) ).
fof(f1513,plain,
( spl14_171
| ~ spl14_134
| ~ spl14_170 ),
inference(avatar_split_clause,[],[f1508,f1504,f1259,f1510]) ).
fof(f1504,plain,
( spl14_170
<=> k11_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_170])]) ).
fof(f1508,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k16_cat_2(sK1,sK2))
| ~ spl14_134
| ~ spl14_170 ),
inference(forward_demodulation,[],[f1506,f1261]) ).
fof(f1506,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2))
| ~ spl14_170 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1507,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| ~ spl14_3
| ~ spl14_4
| spl14_170
| ~ spl14_8
| ~ spl14_82
| ~ spl14_107 ),
inference(avatar_split_clause,[],[f947,f881,f718,f229,f1504,f209,f204,f747,f743,f199,f194,f219,f214]) ).
fof(f947,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_8
| ~ spl14_82
| ~ spl14_107 ),
inference(forward_demodulation,[],[f911,f720]) ).
fof(f911,plain,
( k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2)) = k5_relat_1(sK4,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ spl14_8
| ~ spl14_107 ),
inference(resolution,[],[f882,f231]) ).
fof(f1501,plain,
( spl14_169
| ~ spl14_73
| ~ spl14_89 ),
inference(avatar_split_clause,[],[f764,f757,f659,f1499]) ).
fof(f1499,plain,
( spl14_169
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_169])]) ).
fof(f757,plain,
( spl14_89
<=> ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_89])]) ).
fof(f764,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v1_xboole_0(X1) )
| ~ spl14_73
| ~ spl14_89 ),
inference(resolution,[],[f758,f660]) ).
fof(f758,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X0)
| ~ r1_tarski(X2,X0) )
| ~ spl14_89 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f1492,plain,
( spl14_168
| ~ spl14_73
| ~ spl14_85 ),
inference(avatar_split_clause,[],[f741,f734,f659,f1490]) ).
fof(f734,plain,
( spl14_85
<=> ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
fof(f741,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| v1_xboole_0(sK6(k1_zfmisc_1(X0))) )
| ~ spl14_73
| ~ spl14_85 ),
inference(resolution,[],[f735,f660]) ).
fof(f735,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0)))
| ~ v1_xboole_0(X0) )
| ~ spl14_85 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f1488,plain,
( spl14_167
| ~ spl14_23
| ~ spl14_73 ),
inference(avatar_split_clause,[],[f681,f659,f299,f1486]) ).
fof(f1486,plain,
( spl14_167
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_167])]) ).
fof(f681,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ r2_hidden(X0,sK6(X0)) )
| ~ spl14_23
| ~ spl14_73 ),
inference(resolution,[],[f660,f300]) ).
fof(f1478,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_166
| ~ spl14_46
| ~ spl14_110 ),
inference(avatar_split_clause,[],[f986,f972,f425,f1476,f199,f194]) ).
fof(f986,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4) = k5_relat_1(sK8(X0,sK0),sK4)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_110 ),
inference(duplicate_literal_removal,[],[f975]) ).
fof(f975,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK4) = k5_relat_1(sK8(X0,sK0),sK4)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_110 ),
inference(resolution,[],[f973,f426]) ).
fof(f1468,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_165
| ~ spl14_46
| ~ spl14_88 ),
inference(avatar_split_clause,[],[f970,f751,f425,f1466,f199,f194]) ).
fof(f970,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3) = k5_relat_1(sK8(X0,sK0),sK3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0) )
| ~ spl14_46
| ~ spl14_88 ),
inference(duplicate_literal_removal,[],[f959]) ).
fof(f959,plain,
( ! [X0] :
( ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),sK8(X0,sK0),sK3) = k5_relat_1(sK8(X0,sK0),sK3)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_88 ),
inference(resolution,[],[f752,f426]) ).
fof(f1458,plain,
( ~ spl14_3
| ~ spl14_4
| spl14_164
| ~ spl14_51
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f1223,f1176,f455,f1455,f209,f204]) ).
fof(f1176,plain,
( spl14_128
<=> k16_cat_2(sK1,sK1) = k8_isocat_2(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_128])]) ).
fof(f1223,plain,
( m2_cat_1(k16_cat_2(sK1,sK1),k11_cat_2(sK1,sK1),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_51
| ~ spl14_128 ),
inference(duplicate_literal_removal,[],[f1222]) ).
fof(f1222,plain,
( m2_cat_1(k16_cat_2(sK1,sK1),k11_cat_2(sK1,sK1),sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_51
| ~ spl14_128 ),
inference(superposition,[],[f456,f1178]) ).
fof(f1178,plain,
( k16_cat_2(sK1,sK1) = k8_isocat_2(sK1,sK1)
| ~ spl14_128 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1441,plain,
( spl14_163
| ~ spl14_45
| ~ spl14_68 ),
inference(avatar_split_clause,[],[f611,f608,f421,f1439]) ).
fof(f611,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK2) = k9_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_68 ),
inference(resolution,[],[f609,f422]) ).
fof(f1437,plain,
( spl14_162
| ~ spl14_45
| ~ spl14_67 ),
inference(avatar_split_clause,[],[f602,f599,f421,f1435]) ).
fof(f602,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK1) = k9_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_67 ),
inference(resolution,[],[f600,f422]) ).
fof(f1433,plain,
( spl14_161
| ~ spl14_45
| ~ spl14_66 ),
inference(avatar_split_clause,[],[f593,f590,f421,f1431]) ).
fof(f593,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k17_cat_2(k11_cat_2(X0,X1),sK0) = k9_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_66 ),
inference(resolution,[],[f591,f422]) ).
fof(f1429,plain,
( spl14_160
| ~ spl14_45
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f584,f581,f421,f1427]) ).
fof(f584,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK2) = k8_isocat_2(k11_cat_2(X0,X1),sK2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_65 ),
inference(resolution,[],[f582,f422]) ).
fof(f1425,plain,
( spl14_159
| ~ spl14_45
| ~ spl14_64 ),
inference(avatar_split_clause,[],[f575,f572,f421,f1423]) ).
fof(f575,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK1) = k8_isocat_2(k11_cat_2(X0,X1),sK1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_64 ),
inference(resolution,[],[f573,f422]) ).
fof(f1421,plain,
( spl14_158
| ~ spl14_45
| ~ spl14_53 ),
inference(avatar_split_clause,[],[f495,f463,f421,f1419]) ).
fof(f495,plain,
( ! [X0,X1] :
( ~ v2_cat_1(k11_cat_2(X0,X1))
| k16_cat_2(k11_cat_2(X0,X1),sK0) = k8_isocat_2(k11_cat_2(X0,X1),sK0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_45
| ~ spl14_53 ),
inference(resolution,[],[f464,f422]) ).
fof(f1406,plain,
( ~ spl14_86
| spl14_157
| ~ spl14_48
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f952,f747,f433,f1404,f743]) ).
fof(f433,plain,
( spl14_48
<=> ! [X0,X1] :
( k17_cat_2(X0,X1) = k9_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
fof(f952,plain,
( ! [X0] :
( k17_cat_2(X0,k11_cat_2(sK1,sK2)) = k9_isocat_2(X0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_48
| ~ spl14_87 ),
inference(resolution,[],[f748,f434]) ).
fof(f434,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k17_cat_2(X0,X1) = k9_isocat_2(X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_48 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f1396,plain,
( ~ spl14_86
| spl14_156
| ~ spl14_47
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f951,f747,f429,f1394,f743]) ).
fof(f429,plain,
( spl14_47
<=> ! [X0,X1] :
( k16_cat_2(X0,X1) = k8_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
fof(f951,plain,
( ! [X0] :
( k16_cat_2(X0,k11_cat_2(sK1,sK2)) = k8_isocat_2(X0,k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_47
| ~ spl14_87 ),
inference(resolution,[],[f748,f430]) ).
fof(f430,plain,
( ! [X0,X1] :
( ~ l1_cat_1(X1)
| k16_cat_2(X0,X1) = k8_isocat_2(X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f1388,plain,
( spl14_155
| ~ spl14_16
| ~ spl14_84 ),
inference(avatar_split_clause,[],[f740,f730,f267,f1386]) ).
fof(f1386,plain,
( spl14_155
<=> ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_155])]) ).
fof(f267,plain,
( spl14_16
<=> ! [X0] : r1_tarski(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f730,plain,
( spl14_84
<=> ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
fof(f740,plain,
( ! [X0,X1] : v1_relat_1(k2_zfmisc_1(X0,X1))
| ~ spl14_16
| ~ spl14_84 ),
inference(resolution,[],[f731,f268]) ).
fof(f268,plain,
( ! [X0] : r1_tarski(X0,X0)
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f731,plain,
( ! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_zfmisc_1(X1,X2))
| v1_relat_1(X0) )
| ~ spl14_84 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f1384,plain,
( spl14_154
| ~ spl14_76
| ~ spl14_77 ),
inference(avatar_split_clause,[],[f687,f675,f671,f1382]) ).
fof(f1382,plain,
( spl14_154
<=> ! [X0,X1] : v1_relat_1(sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_154])]) ).
fof(f687,plain,
( ! [X0,X1] : v1_relat_1(sK9(X0,X1))
| ~ spl14_76
| ~ spl14_77 ),
inference(resolution,[],[f676,f672]) ).
fof(f1380,plain,
( ~ spl14_1
| ~ spl14_2
| spl14_153
| ~ spl14_51
| ~ spl14_63 ),
inference(avatar_split_clause,[],[f617,f567,f455,f1377,f199,f194]) ).
fof(f567,plain,
( spl14_63
<=> k16_cat_2(sK0,sK0) = k8_isocat_2(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
fof(f617,plain,
( m2_cat_1(k16_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_51
| ~ spl14_63 ),
inference(duplicate_literal_removal,[],[f616]) ).
fof(f616,plain,
( m2_cat_1(k16_cat_2(sK0,sK0),k11_cat_2(sK0,sK0),sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_51
| ~ spl14_63 ),
inference(superposition,[],[f456,f569]) ).
fof(f569,plain,
( k16_cat_2(sK0,sK0) = k8_isocat_2(sK0,sK0)
| ~ spl14_63 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1375,plain,
( spl14_152
| ~ spl14_27
| ~ spl14_77 ),
inference(avatar_split_clause,[],[f685,f675,f316,f1373]) ).
fof(f1373,plain,
( spl14_152
<=> ! [X0,X1] : v1_relat_1(sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_152])]) ).
fof(f685,plain,
( ! [X0,X1] : v1_relat_1(sK10(X0,X1))
| ~ spl14_27
| ~ spl14_77 ),
inference(resolution,[],[f676,f317]) ).
fof(f1371,plain,
( spl14_151
| ~ spl14_21
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f618,f362,f287,f1369]) ).
fof(f1369,plain,
( spl14_151
<=> ! [X0] : m1_subset_1(sK13,k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_151])]) ).
fof(f287,plain,
( spl14_21
<=> ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f362,plain,
( spl14_37
<=> ! [X0] : sK7(X0) = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f618,plain,
( ! [X0] : m1_subset_1(sK13,k1_zfmisc_1(X0))
| ~ spl14_21
| ~ spl14_37 ),
inference(superposition,[],[f288,f363]) ).
fof(f363,plain,
( ! [X0] : sK7(X0) = sK13
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f288,plain,
( ! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f1366,plain,
( spl14_150
| ~ spl14_86
| ~ spl14_68
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f958,f747,f608,f743,f1363]) ).
fof(f1363,plain,
( spl14_150
<=> k17_cat_2(k11_cat_2(sK1,sK2),sK2) = k9_isocat_2(k11_cat_2(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_150])]) ).
fof(f958,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k17_cat_2(k11_cat_2(sK1,sK2),sK2) = k9_isocat_2(k11_cat_2(sK1,sK2),sK2)
| ~ spl14_68
| ~ spl14_87 ),
inference(resolution,[],[f748,f609]) ).
fof(f1360,plain,
( spl14_149
| ~ spl14_86
| ~ spl14_67
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f957,f747,f599,f743,f1357]) ).
fof(f1357,plain,
( spl14_149
<=> k17_cat_2(k11_cat_2(sK1,sK2),sK1) = k9_isocat_2(k11_cat_2(sK1,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_149])]) ).
fof(f957,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k17_cat_2(k11_cat_2(sK1,sK2),sK1) = k9_isocat_2(k11_cat_2(sK1,sK2),sK1)
| ~ spl14_67
| ~ spl14_87 ),
inference(resolution,[],[f748,f600]) ).
fof(f1354,plain,
( spl14_148
| ~ spl14_86
| ~ spl14_66
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f956,f747,f590,f743,f1351]) ).
fof(f1351,plain,
( spl14_148
<=> k17_cat_2(k11_cat_2(sK1,sK2),sK0) = k9_isocat_2(k11_cat_2(sK1,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_148])]) ).
fof(f956,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k17_cat_2(k11_cat_2(sK1,sK2),sK0) = k9_isocat_2(k11_cat_2(sK1,sK2),sK0)
| ~ spl14_66
| ~ spl14_87 ),
inference(resolution,[],[f748,f591]) ).
fof(f1348,plain,
( spl14_147
| ~ spl14_86
| ~ spl14_65
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f955,f747,f581,f743,f1345]) ).
fof(f1345,plain,
( spl14_147
<=> k16_cat_2(k11_cat_2(sK1,sK2),sK2) = k8_isocat_2(k11_cat_2(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_147])]) ).
fof(f955,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k16_cat_2(k11_cat_2(sK1,sK2),sK2) = k8_isocat_2(k11_cat_2(sK1,sK2),sK2)
| ~ spl14_65
| ~ spl14_87 ),
inference(resolution,[],[f748,f582]) ).
fof(f1342,plain,
( spl14_146
| ~ spl14_86
| ~ spl14_64
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f954,f747,f572,f743,f1339]) ).
fof(f1339,plain,
( spl14_146
<=> k16_cat_2(k11_cat_2(sK1,sK2),sK1) = k8_isocat_2(k11_cat_2(sK1,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_146])]) ).
fof(f954,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k16_cat_2(k11_cat_2(sK1,sK2),sK1) = k8_isocat_2(k11_cat_2(sK1,sK2),sK1)
| ~ spl14_64
| ~ spl14_87 ),
inference(resolution,[],[f748,f573]) ).
fof(f1336,plain,
( spl14_145
| ~ spl14_86
| ~ spl14_53
| ~ spl14_87 ),
inference(avatar_split_clause,[],[f953,f747,f463,f743,f1333]) ).
fof(f1333,plain,
( spl14_145
<=> k16_cat_2(k11_cat_2(sK1,sK2),sK0) = k8_isocat_2(k11_cat_2(sK1,sK2),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_145])]) ).
fof(f953,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| k16_cat_2(k11_cat_2(sK1,sK2),sK0) = k8_isocat_2(k11_cat_2(sK1,sK2),sK0)
| ~ spl14_53
| ~ spl14_87 ),
inference(resolution,[],[f748,f464]) ).
fof(f1329,plain,
( spl14_144
| ~ spl14_5
| ~ spl14_6
| ~ spl14_68 ),
inference(avatar_split_clause,[],[f614,f608,f219,f214,f1326]) ).
fof(f614,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(sK2,sK2) = k9_isocat_2(sK2,sK2)
| ~ spl14_6
| ~ spl14_68 ),
inference(resolution,[],[f609,f221]) ).
fof(f1321,plain,
( spl14_143
| ~ spl14_3
| ~ spl14_4
| ~ spl14_68 ),
inference(avatar_split_clause,[],[f613,f608,f209,f204,f1318]) ).
fof(f613,plain,
( ~ v2_cat_1(sK1)
| k9_isocat_2(sK1,sK2) = k17_cat_2(sK1,sK2)
| ~ spl14_4
| ~ spl14_68 ),
inference(resolution,[],[f609,f211]) ).
fof(f1315,plain,
( spl14_142
| ~ spl14_1
| ~ spl14_2
| ~ spl14_68 ),
inference(avatar_split_clause,[],[f612,f608,f199,f194,f1312]) ).
fof(f1312,plain,
( spl14_142
<=> k17_cat_2(sK0,sK2) = k9_isocat_2(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_142])]) ).
fof(f612,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(sK0,sK2) = k9_isocat_2(sK0,sK2)
| ~ spl14_2
| ~ spl14_68 ),
inference(resolution,[],[f609,f201]) ).
fof(f1309,plain,
( spl14_141
| ~ spl14_5
| ~ spl14_6
| ~ spl14_67 ),
inference(avatar_split_clause,[],[f605,f599,f219,f214,f1306]) ).
fof(f1306,plain,
( spl14_141
<=> k17_cat_2(sK2,sK1) = k9_isocat_2(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_141])]) ).
fof(f605,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(sK2,sK1) = k9_isocat_2(sK2,sK1)
| ~ spl14_6
| ~ spl14_67 ),
inference(resolution,[],[f600,f221]) ).
fof(f1302,plain,
( spl14_140
| ~ spl14_3
| ~ spl14_4
| ~ spl14_67 ),
inference(avatar_split_clause,[],[f604,f599,f209,f204,f1299]) ).
fof(f604,plain,
( ~ v2_cat_1(sK1)
| k17_cat_2(sK1,sK1) = k9_isocat_2(sK1,sK1)
| ~ spl14_4
| ~ spl14_67 ),
inference(resolution,[],[f600,f211]) ).
fof(f1296,plain,
( spl14_139
| ~ spl14_1
| ~ spl14_2
| ~ spl14_67 ),
inference(avatar_split_clause,[],[f603,f599,f199,f194,f1293]) ).
fof(f1293,plain,
( spl14_139
<=> k17_cat_2(sK0,sK1) = k9_isocat_2(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_139])]) ).
fof(f603,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(sK0,sK1) = k9_isocat_2(sK0,sK1)
| ~ spl14_2
| ~ spl14_67 ),
inference(resolution,[],[f600,f201]) ).
fof(f1290,plain,
( spl14_138
| ~ spl14_5
| ~ spl14_6
| ~ spl14_66 ),
inference(avatar_split_clause,[],[f596,f590,f219,f214,f1287]) ).
fof(f1287,plain,
( spl14_138
<=> k17_cat_2(sK2,sK0) = k9_isocat_2(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_138])]) ).
fof(f596,plain,
( ~ v2_cat_1(sK2)
| k17_cat_2(sK2,sK0) = k9_isocat_2(sK2,sK0)
| ~ spl14_6
| ~ spl14_66 ),
inference(resolution,[],[f591,f221]) ).
fof(f1284,plain,
( spl14_137
| ~ spl14_3
| ~ spl14_4
| ~ spl14_66 ),
inference(avatar_split_clause,[],[f595,f590,f209,f204,f1281]) ).
fof(f1281,plain,
( spl14_137
<=> k17_cat_2(sK1,sK0) = k9_isocat_2(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_137])]) ).
fof(f595,plain,
( ~ v2_cat_1(sK1)
| k17_cat_2(sK1,sK0) = k9_isocat_2(sK1,sK0)
| ~ spl14_4
| ~ spl14_66 ),
inference(resolution,[],[f591,f211]) ).
fof(f1277,plain,
( spl14_136
| ~ spl14_1
| ~ spl14_2
| ~ spl14_66 ),
inference(avatar_split_clause,[],[f594,f590,f199,f194,f1274]) ).
fof(f594,plain,
( ~ v2_cat_1(sK0)
| k17_cat_2(sK0,sK0) = k9_isocat_2(sK0,sK0)
| ~ spl14_2
| ~ spl14_66 ),
inference(resolution,[],[f591,f201]) ).
fof(f1270,plain,
( spl14_135
| ~ spl14_5
| ~ spl14_6
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f587,f581,f219,f214,f1267]) ).
fof(f587,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(sK2,sK2) = k8_isocat_2(sK2,sK2)
| ~ spl14_6
| ~ spl14_65 ),
inference(resolution,[],[f582,f221]) ).
fof(f1262,plain,
( spl14_134
| ~ spl14_3
| ~ spl14_4
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f586,f581,f209,f204,f1259]) ).
fof(f586,plain,
( ~ v2_cat_1(sK1)
| k8_isocat_2(sK1,sK2) = k16_cat_2(sK1,sK2)
| ~ spl14_4
| ~ spl14_65 ),
inference(resolution,[],[f582,f211]) ).
fof(f1256,plain,
( spl14_133
| ~ spl14_1
| ~ spl14_2
| ~ spl14_65 ),
inference(avatar_split_clause,[],[f585,f581,f199,f194,f1253]) ).
fof(f1253,plain,
( spl14_133
<=> k16_cat_2(sK0,sK2) = k8_isocat_2(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_133])]) ).
fof(f585,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(sK0,sK2) = k8_isocat_2(sK0,sK2)
| ~ spl14_2
| ~ spl14_65 ),
inference(resolution,[],[f582,f201]) ).
fof(f1250,plain,
( spl14_132
| ~ spl14_5
| ~ spl14_6
| ~ spl14_64 ),
inference(avatar_split_clause,[],[f578,f572,f219,f214,f1247]) ).
fof(f1247,plain,
( spl14_132
<=> k16_cat_2(sK2,sK1) = k8_isocat_2(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_132])]) ).
fof(f578,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(sK2,sK1) = k8_isocat_2(sK2,sK1)
| ~ spl14_6
| ~ spl14_64 ),
inference(resolution,[],[f573,f221]) ).
fof(f1191,plain,
( spl14_131
| ~ spl14_58
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f558,f531,f501,f1189]) ).
fof(f531,plain,
( spl14_61
<=> ! [X0,X3,X2,X1] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
fof(f558,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k11_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_61 ),
inference(duplicate_literal_removal,[],[f553]) ).
fof(f553,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k11_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_61 ),
inference(resolution,[],[f532,f502]) ).
fof(f532,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_61 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f1187,plain,
( spl14_130
| ~ spl14_52
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f557,f531,f459,f1185]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k9_isocat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k9_isocat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_61 ),
inference(resolution,[],[f532,f460]) ).
fof(f1183,plain,
( spl14_129
| ~ spl14_51
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f556,f531,f455,f1181]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k8_isocat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_61 ),
inference(resolution,[],[f532,f456]) ).
fof(f1179,plain,
( spl14_128
| ~ spl14_3
| ~ spl14_4
| ~ spl14_64 ),
inference(avatar_split_clause,[],[f577,f572,f209,f204,f1176]) ).
fof(f577,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(sK1,sK1) = k8_isocat_2(sK1,sK1)
| ~ spl14_4
| ~ spl14_64 ),
inference(resolution,[],[f573,f211]) ).
fof(f1174,plain,
( spl14_127
| ~ spl14_50
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f555,f531,f451,f1172]) ).
fof(f555,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k17_cat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X1,k17_cat_2(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_61 ),
inference(resolution,[],[f532,f452]) ).
fof(f1170,plain,
( spl14_126
| ~ spl14_49
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f554,f531,f447,f1168]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X0,k16_cat_2(k11_cat_2(X0,X1),X2),k8_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_61 ),
inference(resolution,[],[f532,f448]) ).
fof(f1166,plain,
( spl14_125
| ~ spl14_58
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f544,f527,f501,f1164]) ).
fof(f527,plain,
( spl14_60
<=> ! [X0,X3,X2,X1] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
fof(f544,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k12_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_58
| ~ spl14_60 ),
inference(duplicate_literal_removal,[],[f539]) ).
fof(f539,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k12_isocat_2(X0,X1,X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k2_isocat_1(X0,X3,k11_cat_2(X1,X2),X4,X5),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X3,k11_cat_2(X1,X2))
| ~ m2_cat_1(X4,X0,X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_58
| ~ spl14_60 ),
inference(resolution,[],[f528,f502]) ).
fof(f528,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_60 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f1162,plain,
( spl14_124
| ~ spl14_52
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f543,f527,f459,f1160]) ).
fof(f543,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k9_isocat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k9_isocat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_52
| ~ spl14_60 ),
inference(resolution,[],[f528,f460]) ).
fof(f1158,plain,
( spl14_123
| ~ spl14_51
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f542,f527,f455,f1156]) ).
fof(f542,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k8_isocat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k8_isocat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_51
| ~ spl14_60 ),
inference(resolution,[],[f528,f456]) ).
fof(f1154,plain,
( spl14_122
| ~ spl14_50
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f541,f527,f451,f1152]) ).
fof(f541,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(X0,k11_cat_2(X1,X2)),X1,X2,k17_cat_2(X0,k11_cat_2(X1,X2))) = k2_isocat_1(k11_cat_2(X0,k11_cat_2(X1,X2)),k11_cat_2(X1,X2),X2,k17_cat_2(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_50
| ~ spl14_60 ),
inference(resolution,[],[f528,f452]) ).
fof(f1150,plain,
( spl14_121
| ~ spl14_49
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f540,f527,f447,f1148]) ).
fof(f540,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(k11_cat_2(k11_cat_2(X0,X1),X2),X0,X1,k16_cat_2(k11_cat_2(X0,X1),X2)) = k2_isocat_1(k11_cat_2(k11_cat_2(X0,X1),X2),k11_cat_2(X0,X1),X1,k16_cat_2(k11_cat_2(X0,X1),X2),k9_isocat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ v2_cat_1(k11_cat_2(k11_cat_2(X0,X1),X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(k11_cat_2(X0,X1)) )
| ~ spl14_49
| ~ spl14_60 ),
inference(resolution,[],[f528,f448]) ).
fof(f1097,plain,
( spl14_120
| ~ spl14_56
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f560,f531,f488,f1095]) ).
fof(f560,plain,
( ! [X2,X3,X0,X1,X4] :
( k11_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_56
| ~ spl14_61 ),
inference(duplicate_literal_removal,[],[f551]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1,X4] :
( k11_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_61 ),
inference(resolution,[],[f532,f489]) ).
fof(f1093,plain,
( spl14_119
| ~ spl14_57
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f559,f531,f492,f1091]) ).
fof(f559,plain,
( ! [X2,X3,X0,X1,X4] :
( k11_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_61 ),
inference(duplicate_literal_removal,[],[f552]) ).
fof(f552,plain,
( ! [X2,X3,X0,X1,X4] :
( k11_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_61 ),
inference(resolution,[],[f532,f493]) ).
fof(f1089,plain,
( spl14_118
| ~ spl14_56
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f546,f527,f488,f1087]) ).
fof(f546,plain,
( ! [X2,X3,X0,X1,X4] :
( k12_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_56
| ~ spl14_60 ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f537,plain,
( ! [X2,X3,X0,X1,X4] :
( k12_isocat_2(X0,X1,X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k11_isocat_2(X0,k11_cat_2(X1,X2),X3,X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(k11_cat_2(X1,X2),X3))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_56
| ~ spl14_60 ),
inference(resolution,[],[f528,f489]) ).
fof(f1085,plain,
( spl14_117
| ~ spl14_57
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f545,f527,f492,f1083]) ).
fof(f545,plain,
( ! [X2,X3,X0,X1,X4] :
( k12_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) )
| ~ spl14_57
| ~ spl14_60 ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f538,plain,
( ! [X2,X3,X0,X1,X4] :
( k12_isocat_2(X0,X1,X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4)) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,k12_isocat_2(X0,X3,k11_cat_2(X1,X2),X4),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X3,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_57
| ~ spl14_60 ),
inference(resolution,[],[f528,f493]) ).
fof(f1063,plain,
( spl14_116
| ~ spl14_58
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f522,f505,f501,f1061]) ).
fof(f522,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k2_isocat_1(X0,X1,X2,X3,k2_isocat_1(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k2_isocat_1(X1,X4,X2,X5,X6))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X6,X4,X2)
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_58
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f513]) ).
fof(f513,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( k2_isocat_1(X0,X1,X2,X3,k2_isocat_1(X1,X4,X2,X5,X6)) = k5_relat_1(X3,k2_isocat_1(X1,X4,X2,X5,X6))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X6,X4,X2)
| ~ m2_cat_1(X5,X1,X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_58
| ~ spl14_59 ),
inference(resolution,[],[f506,f502]) ).
fof(f1039,plain,
( spl14_115
| ~ spl14_1
| ~ spl14_2
| ~ spl14_64 ),
inference(avatar_split_clause,[],[f576,f572,f199,f194,f1036]) ).
fof(f1036,plain,
( spl14_115
<=> k16_cat_2(sK0,sK1) = k8_isocat_2(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_115])]) ).
fof(f576,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(sK0,sK1) = k8_isocat_2(sK0,sK1)
| ~ spl14_2
| ~ spl14_64 ),
inference(resolution,[],[f573,f201]) ).
fof(f1020,plain,
( spl14_114
| ~ spl14_46
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f561,f531,f425,f1018]) ).
fof(f561,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_46
| ~ spl14_61 ),
inference(duplicate_literal_removal,[],[f550]) ).
fof(f550,plain,
( ! [X2,X0,X1] :
( k11_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,sK8(X0,k11_cat_2(X1,X2)),k8_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_61 ),
inference(resolution,[],[f532,f426]) ).
fof(f1016,plain,
( spl14_113
| ~ spl14_46
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f547,f527,f425,f1014]) ).
fof(f547,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2)) )
| ~ spl14_46
| ~ spl14_60 ),
inference(duplicate_literal_removal,[],[f536]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( k12_isocat_2(X0,X1,X2,sK8(X0,k11_cat_2(X1,X2))) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,sK8(X0,k11_cat_2(X1,X2)),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_60 ),
inference(resolution,[],[f528,f426]) ).
fof(f1012,plain,
( spl14_112
| ~ spl14_56
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f524,f505,f488,f1010]) ).
fof(f524,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,X1,X2,X3,k11_isocat_2(X1,X2,X4,X5)) = k5_relat_1(X3,k11_isocat_2(X1,X2,X4,X5))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_56
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f511]) ).
fof(f511,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,X1,X2,X3,k11_isocat_2(X1,X2,X4,X5)) = k5_relat_1(X3,k11_isocat_2(X1,X2,X4,X5))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X4))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_56
| ~ spl14_59 ),
inference(resolution,[],[f506,f489]) ).
fof(f1008,plain,
( spl14_111
| ~ spl14_57
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f523,f505,f492,f1006]) ).
fof(f523,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,X1,X2,X3,k12_isocat_2(X1,X4,X2,X5)) = k5_relat_1(X3,k12_isocat_2(X1,X4,X2,X5))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4) )
| ~ spl14_57
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f512]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( k2_isocat_1(X0,X1,X2,X3,k12_isocat_2(X1,X4,X2,X5)) = k5_relat_1(X3,k12_isocat_2(X1,X4,X2,X5))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X5,X1,k11_cat_2(X4,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X4)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_57
| ~ spl14_59 ),
inference(resolution,[],[f506,f493]) ).
fof(f974,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_110
| ~ spl14_8
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f509,f505,f229,f972,f747,f743,f199,f194]) ).
fof(f509,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK4) = k5_relat_1(X1,sK4)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_8
| ~ spl14_59 ),
inference(resolution,[],[f506,f231]) ).
fof(f946,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_45
| spl14_87 ),
inference(avatar_split_clause,[],[f755,f747,f421,f219,f214,f209,f204]) ).
fof(f755,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_45
| spl14_87 ),
inference(resolution,[],[f749,f422]) ).
fof(f749,plain,
( ~ l1_cat_1(k11_cat_2(sK1,sK2))
| spl14_87 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f891,plain,
( spl14_109
| ~ spl14_49
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f521,f505,f447,f889]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k16_cat_2(X1,X2)) = k5_relat_1(X3,k16_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_49
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f514]) ).
fof(f514,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k16_cat_2(X1,X2)) = k5_relat_1(X3,k16_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_49
| ~ spl14_59 ),
inference(resolution,[],[f506,f448]) ).
fof(f887,plain,
( spl14_108
| ~ spl14_50
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f520,f505,f451,f885]) ).
fof(f520,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k17_cat_2(X1,X2)) = k5_relat_1(X3,k17_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f515]) ).
fof(f515,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k17_cat_2(X1,X2)) = k5_relat_1(X3,k17_cat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_50
| ~ spl14_59 ),
inference(resolution,[],[f506,f452]) ).
fof(f883,plain,
( spl14_107
| ~ spl14_51
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f519,f505,f455,f881]) ).
fof(f519,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) = k5_relat_1(X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ spl14_51
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f516,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) = k5_relat_1(X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_51
| ~ spl14_59 ),
inference(resolution,[],[f506,f456]) ).
fof(f879,plain,
( spl14_106
| ~ spl14_52
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f518,f505,f459,f877]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) = k5_relat_1(X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f517]) ).
fof(f517,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) = k5_relat_1(X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_52
| ~ spl14_59 ),
inference(resolution,[],[f506,f460]) ).
fof(f857,plain,
( spl14_105
| ~ spl14_46
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f525,f505,f425,f855]) ).
fof(f525,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,X1,X2,X3,sK8(X1,X2)) = k5_relat_1(X3,sK8(X1,X2))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_59 ),
inference(duplicate_literal_removal,[],[f510]) ).
fof(f510,plain,
( ! [X2,X3,X0,X1] :
( k2_isocat_1(X0,X1,X2,X3,sK8(X1,X2)) = k5_relat_1(X3,sK8(X1,X2))
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_46
| ~ spl14_59 ),
inference(resolution,[],[f506,f426]) ).
fof(f853,plain,
( ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| ~ spl14_44
| spl14_86 ),
inference(avatar_split_clause,[],[f754,f743,f417,f219,f214,f209,f204]) ).
fof(f754,plain,
( ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ spl14_44
| spl14_86 ),
inference(resolution,[],[f745,f418]) ).
fof(f745,plain,
( ~ v2_cat_1(k11_cat_2(sK1,sK2))
| spl14_86 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f848,plain,
( spl14_104
| ~ spl14_45
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f441,f433,f421,f846]) ).
fof(f441,plain,
( ! [X2,X0,X1] :
( k17_cat_2(X0,k11_cat_2(X1,X2)) = k9_isocat_2(X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_45
| ~ spl14_48 ),
inference(resolution,[],[f434,f422]) ).
fof(f844,plain,
( spl14_103
| ~ spl14_45
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f436,f429,f421,f842]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( k16_cat_2(X0,k11_cat_2(X1,X2)) = k8_isocat_2(X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ spl14_45
| ~ spl14_47 ),
inference(resolution,[],[f430,f422]) ).
fof(f839,plain,
( spl14_102
| ~ spl14_38
| ~ spl14_54 ),
inference(avatar_split_clause,[],[f470,f467,f366,f837]) ).
fof(f837,plain,
( spl14_102
<=> ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m1_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_102])]) ).
fof(f366,plain,
( spl14_38
<=> ! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( ~ m2_cat_1(X0,X1,X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| m1_relset_1(X0,u2_cat_1(X1),u2_cat_1(X2)) )
| ~ spl14_38
| ~ spl14_54 ),
inference(resolution,[],[f468,f367]) ).
fof(f367,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
| ~ spl14_38 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f835,plain,
( spl14_101
| ~ spl14_46
| ~ spl14_55 ),
inference(avatar_split_clause,[],[f486,f472,f425,f833]) ).
fof(f472,plain,
( spl14_55
<=> ! [X0,X3,X2,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_55 ),
inference(duplicate_literal_removal,[],[f477]) ).
fof(f477,plain,
( ! [X2,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_46
| ~ spl14_55 ),
inference(resolution,[],[f473,f426]) ).
fof(f473,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_cat_1(X3,X0,X1)
| r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_55 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f826,plain,
( spl14_100
| ~ spl14_33
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f409,f400,f346,f824]) ).
fof(f400,plain,
( spl14_42
<=> ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f409,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
| ~ spl14_33
| ~ spl14_42 ),
inference(resolution,[],[f401,f347]) ).
fof(f401,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) )
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f822,plain,
( ~ spl14_98
| spl14_99
| ~ spl14_12
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f440,f429,f249,f820,f816]) ).
fof(f816,plain,
( spl14_98
<=> v2_cat_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_98])]) ).
fof(f820,plain,
( spl14_99
<=> ! [X0] :
( k16_cat_2(X0,sK12) = k8_isocat_2(X0,sK12)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_99])]) ).
fof(f249,plain,
( spl14_12
<=> l1_cat_1(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f440,plain,
( ! [X0] :
( k16_cat_2(X0,sK12) = k8_isocat_2(X0,sK12)
| ~ v2_cat_1(sK12)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_12
| ~ spl14_47 ),
inference(resolution,[],[f430,f251]) ).
fof(f251,plain,
( l1_cat_1(sK12)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f811,plain,
( spl14_97
| ~ spl14_42
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f411,f404,f400,f809]) ).
fof(f411,plain,
( ! [X2,X3,X0,X1] :
( m1_subset_1(X0,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X0,X3)
| ~ m2_relset_1(X3,X1,X2) )
| ~ spl14_42
| ~ spl14_43 ),
inference(resolution,[],[f405,f401]) ).
fof(f804,plain,
( spl14_96
| ~ spl14_40
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f408,f400,f386,f802]) ).
fof(f408,plain,
( ! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0) )
| ~ spl14_40
| ~ spl14_42 ),
inference(resolution,[],[f401,f387]) ).
fof(f790,plain,
( spl14_95
| ~ spl14_30
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f374,f346,f330,f788]) ).
fof(f330,plain,
( spl14_30
<=> ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f374,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl14_30
| ~ spl14_33 ),
inference(resolution,[],[f347,f331]) ).
fof(f331,plain,
( ! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) )
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f786,plain,
( spl14_94
| ~ spl14_31
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f373,f346,f334,f784]) ).
fof(f334,plain,
( spl14_31
<=> ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
fof(f373,plain,
( ! [X0,X1] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X1,k1_zfmisc_1(X0))
| ~ r1_tarski(X1,X0) )
| ~ spl14_31
| ~ spl14_33 ),
inference(resolution,[],[f347,f335]) ).
fof(f335,plain,
( ! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f778,plain,
( spl14_93
| ~ spl14_30
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f412,f404,f330,f776]) ).
fof(f412,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK5(X1))
| v1_xboole_0(X1) )
| ~ spl14_30
| ~ spl14_43 ),
inference(resolution,[],[f405,f331]) ).
fof(f774,plain,
( spl14_92
| ~ spl14_31
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f410,f404,f334,f772]) ).
fof(f410,plain,
( ! [X2,X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X2)
| ~ r1_tarski(X2,X1) )
| ~ spl14_31
| ~ spl14_43 ),
inference(resolution,[],[f405,f335]) ).
fof(f770,plain,
( spl14_91
| ~ spl14_30
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f379,f358,f330,f768]) ).
fof(f768,plain,
( spl14_91
<=> ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_91])]) ).
fof(f379,plain,
( ! [X0,X1] :
( v1_relat_1(sK5(k2_zfmisc_1(X0,X1)))
| v1_xboole_0(k2_zfmisc_1(X0,X1)) )
| ~ spl14_30
| ~ spl14_36 ),
inference(resolution,[],[f359,f331]) ).
fof(f763,plain,
( spl14_90
| ~ spl14_17
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f413,f404,f271,f761]) ).
fof(f271,plain,
( spl14_17
<=> ! [X0] : m1_subset_1(sK6(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f413,plain,
( ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK6(k1_zfmisc_1(X1))) )
| ~ spl14_17
| ~ spl14_43 ),
inference(resolution,[],[f405,f272]) ).
fof(f272,plain,
( ! [X0] : m1_subset_1(sK6(X0),X0)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f759,plain,
( spl14_89
| ~ spl14_31
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f389,f386,f334,f757]) ).
fof(f389,plain,
( ! [X2,X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,X2)
| ~ r1_tarski(X2,X0) )
| ~ spl14_31
| ~ spl14_40 ),
inference(resolution,[],[f387,f335]) ).
fof(f753,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_86
| ~ spl14_87
| spl14_88
| ~ spl14_7
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f508,f505,f224,f751,f747,f743,f199,f194]) ).
fof(f508,plain,
( ! [X0,X1] :
( k2_isocat_1(X0,sK0,k11_cat_2(sK1,sK2),X1,sK3) = k5_relat_1(X1,sK3)
| ~ m2_cat_1(X1,X0,sK0)
| ~ l1_cat_1(k11_cat_2(sK1,sK2))
| ~ v2_cat_1(k11_cat_2(sK1,sK2))
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_7
| ~ spl14_59 ),
inference(resolution,[],[f506,f226]) ).
fof(f736,plain,
( spl14_85
| ~ spl14_17
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f391,f386,f271,f734]) ).
fof(f391,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK6(k1_zfmisc_1(X0))) )
| ~ spl14_17
| ~ spl14_40 ),
inference(resolution,[],[f387,f272]) ).
fof(f732,plain,
( spl14_84
| ~ spl14_31
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f378,f358,f334,f730]) ).
fof(f378,plain,
( ! [X2,X0,X1] :
( v1_relat_1(X0)
| ~ r1_tarski(X0,k2_zfmisc_1(X1,X2)) )
| ~ spl14_31
| ~ spl14_36 ),
inference(resolution,[],[f359,f335]) ).
fof(f728,plain,
( spl14_83
| ~ spl14_21
| ~ spl14_33
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f377,f362,f346,f287,f726]) ).
fof(f377,plain,
( ! [X0] :
( r2_hidden(sK13,k1_zfmisc_1(X0))
| v1_xboole_0(k1_zfmisc_1(X0)) )
| ~ spl14_21
| ~ spl14_33
| ~ spl14_37 ),
inference(forward_demodulation,[],[f376,f363]) ).
fof(f376,plain,
( ! [X0] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK7(X0),k1_zfmisc_1(X0)) )
| ~ spl14_21
| ~ spl14_33 ),
inference(resolution,[],[f347,f288]) ).
fof(f721,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_82
| ~ spl14_8
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f549,f531,f229,f718,f219,f214,f209,f204,f199,f194]) ).
fof(f549,plain,
( k11_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK4,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_8
| ~ spl14_61 ),
inference(resolution,[],[f532,f231]) ).
fof(f713,plain,
( spl14_81
| ~ spl14_5
| ~ spl14_6
| ~ spl14_53 ),
inference(avatar_split_clause,[],[f498,f463,f219,f214,f710]) ).
fof(f710,plain,
( spl14_81
<=> k16_cat_2(sK2,sK0) = k8_isocat_2(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
fof(f498,plain,
( ~ v2_cat_1(sK2)
| k16_cat_2(sK2,sK0) = k8_isocat_2(sK2,sK0)
| ~ spl14_6
| ~ spl14_53 ),
inference(resolution,[],[f464,f221]) ).
fof(f708,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_80
| ~ spl14_7
| ~ spl14_61 ),
inference(avatar_split_clause,[],[f548,f531,f224,f705,f219,f214,f209,f204,f199,f194]) ).
fof(f548,plain,
( k11_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK1,sK3,k8_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_7
| ~ spl14_61 ),
inference(resolution,[],[f532,f226]) ).
fof(f700,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_79
| ~ spl14_8
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f535,f527,f229,f697,f219,f214,f209,f204,f199,f194]) ).
fof(f535,plain,
( k12_isocat_2(sK0,sK1,sK2,sK4) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK4,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_8
| ~ spl14_60 ),
inference(resolution,[],[f528,f231]) ).
fof(f692,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_6
| spl14_78
| ~ spl14_7
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f534,f527,f224,f689,f219,f214,f209,f204,f199,f194]) ).
fof(f534,plain,
( k12_isocat_2(sK0,sK1,sK2,sK3) = k2_isocat_1(sK0,k11_cat_2(sK1,sK2),sK2,sK3,k9_isocat_2(sK1,sK2))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(sK0)
| ~ v2_cat_1(sK0)
| ~ spl14_7
| ~ spl14_60 ),
inference(resolution,[],[f528,f226]) ).
fof(f677,plain,
( spl14_77
| ~ spl14_36
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f407,f400,f358,f675]) ).
fof(f407,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) )
| ~ spl14_36
| ~ spl14_42 ),
inference(resolution,[],[f401,f359]) ).
fof(f673,plain,
( spl14_76
| ~ spl14_26
| ~ spl14_39 ),
inference(avatar_split_clause,[],[f384,f370,f312,f671]) ).
fof(f312,plain,
( spl14_26
<=> ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f370,plain,
( spl14_39
<=> ! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f384,plain,
( ! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1)
| ~ spl14_26
| ~ spl14_39 ),
inference(resolution,[],[f371,f313]) ).
fof(f313,plain,
( ! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1)
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) )
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f669,plain,
( spl14_75
| ~ spl14_27
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f383,f366,f316,f667]) ).
fof(f667,plain,
( spl14_75
<=> ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
fof(f383,plain,
( ! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1)
| ~ spl14_27
| ~ spl14_38 ),
inference(resolution,[],[f367,f317]) ).
fof(f665,plain,
( spl14_74
| ~ spl14_17
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f380,f358,f271,f663]) ).
fof(f663,plain,
( spl14_74
<=> ! [X0,X1] : v1_relat_1(sK6(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
fof(f380,plain,
( ! [X0,X1] : v1_relat_1(sK6(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ spl14_17
| ~ spl14_36 ),
inference(resolution,[],[f359,f272]) ).
fof(f661,plain,
( spl14_73
| ~ spl14_17
| ~ spl14_33 ),
inference(avatar_split_clause,[],[f375,f346,f271,f659]) ).
fof(f375,plain,
( ! [X0] :
( v1_xboole_0(X0)
| r2_hidden(sK6(X0),X0) )
| ~ spl14_17
| ~ spl14_33 ),
inference(resolution,[],[f347,f272]) ).
fof(f643,plain,
( spl14_72
| ~ spl14_3
| ~ spl14_4
| ~ spl14_53 ),
inference(avatar_split_clause,[],[f497,f463,f209,f204,f640]) ).
fof(f640,plain,
( spl14_72
<=> k16_cat_2(sK1,sK0) = k8_isocat_2(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
fof(f497,plain,
( ~ v2_cat_1(sK1)
| k16_cat_2(sK1,sK0) = k8_isocat_2(sK1,sK0)
| ~ spl14_4
| ~ spl14_53 ),
inference(resolution,[],[f464,f211]) ).
fof(f638,plain,
( spl14_69
| ~ spl14_20
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f637,f303,f283,f621]) ).
fof(f283,plain,
( spl14_20
<=> ! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f303,plain,
( spl14_24
<=> k1_xboole_0 = sK13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f637,plain,
( ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) )
| ~ spl14_20
| ~ spl14_24 ),
inference(forward_demodulation,[],[f284,f305]) ).
fof(f305,plain,
( k1_xboole_0 = sK13
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f284,plain,
( ! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 )
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f636,plain,
( ~ spl14_10
| ~ spl14_70 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| ~ spl14_10
| ~ spl14_70 ),
inference(resolution,[],[f626,f241]) ).
fof(f241,plain,
( v1_xboole_0(k1_xboole_0)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl14_10
<=> v1_xboole_0(k1_xboole_0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f626,plain,
( ! [X0] : ~ v1_xboole_0(X0)
| ~ spl14_70 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl14_70
<=> ! [X0] : ~ v1_xboole_0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
fof(f635,plain,
( ~ spl14_13
| ~ spl14_70 ),
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f632,plain,
( $false
| ~ spl14_13
| ~ spl14_70 ),
inference(resolution,[],[f626,f256]) ).
fof(f256,plain,
( v1_xboole_0(sK13)
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl14_13
<=> v1_xboole_0(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f634,plain,
( ~ spl14_15
| ~ spl14_70 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl14_15
| ~ spl14_70 ),
inference(resolution,[],[f626,f264]) ).
fof(f264,plain,
( ! [X0] : v1_xboole_0(sK7(X0))
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl14_15
<=> ! [X0] : v1_xboole_0(sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f630,plain,
( spl14_70
| spl14_71
| ~ spl14_21
| ~ spl14_37
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f393,f386,f362,f287,f628,f625]) ).
fof(f628,plain,
( spl14_71
<=> ! [X1] : ~ r2_hidden(X1,sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
fof(f393,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,sK13)
| ~ v1_xboole_0(X0) )
| ~ spl14_21
| ~ spl14_37
| ~ spl14_40 ),
inference(forward_demodulation,[],[f392,f363]) ).
fof(f392,plain,
( ! [X0,X1] :
( ~ v1_xboole_0(X0)
| ~ r2_hidden(X1,sK7(X0)) )
| ~ spl14_21
| ~ spl14_40 ),
inference(resolution,[],[f387,f288]) ).
fof(f623,plain,
( spl14_69
| ~ spl14_13
| ~ spl14_32 ),
inference(avatar_split_clause,[],[f342,f338,f254,f621]) ).
fof(f342,plain,
( ! [X0] :
( sK13 = X0
| ~ v1_xboole_0(X0) )
| ~ spl14_13
| ~ spl14_32 ),
inference(resolution,[],[f339,f256]) ).
fof(f610,plain,
( ~ spl14_5
| spl14_68
| ~ spl14_6
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f444,f433,f219,f608,f214]) ).
fof(f444,plain,
( ! [X0] :
( k17_cat_2(X0,sK2) = k9_isocat_2(X0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_48 ),
inference(resolution,[],[f434,f221]) ).
fof(f601,plain,
( ~ spl14_3
| spl14_67
| ~ spl14_4
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f443,f433,f209,f599,f204]) ).
fof(f443,plain,
( ! [X0] :
( k17_cat_2(X0,sK1) = k9_isocat_2(X0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_48 ),
inference(resolution,[],[f434,f211]) ).
fof(f592,plain,
( ~ spl14_1
| spl14_66
| ~ spl14_2
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f442,f433,f199,f590,f194]) ).
fof(f442,plain,
( ! [X0] :
( k17_cat_2(X0,sK0) = k9_isocat_2(X0,sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_48 ),
inference(resolution,[],[f434,f201]) ).
fof(f583,plain,
( ~ spl14_5
| spl14_65
| ~ spl14_6
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f439,f429,f219,f581,f214]) ).
fof(f439,plain,
( ! [X0] :
( k16_cat_2(X0,sK2) = k8_isocat_2(X0,sK2)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_6
| ~ spl14_47 ),
inference(resolution,[],[f430,f221]) ).
fof(f574,plain,
( ~ spl14_3
| spl14_64
| ~ spl14_4
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f438,f429,f209,f572,f204]) ).
fof(f438,plain,
( ! [X0] :
( k16_cat_2(X0,sK1) = k8_isocat_2(X0,sK1)
| ~ v2_cat_1(sK1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_4
| ~ spl14_47 ),
inference(resolution,[],[f430,f211]) ).
fof(f570,plain,
( spl14_63
| ~ spl14_1
| ~ spl14_2
| ~ spl14_53 ),
inference(avatar_split_clause,[],[f496,f463,f199,f194,f567]) ).
fof(f496,plain,
( ~ v2_cat_1(sK0)
| k16_cat_2(sK0,sK0) = k8_isocat_2(sK0,sK0)
| ~ spl14_2
| ~ spl14_53 ),
inference(resolution,[],[f464,f201]) ).
fof(f565,plain,
spl14_62,
inference(avatar_split_clause,[],[f152,f563]) ).
fof(f152,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ( ( r2_nattra_1(X1,X2,X5,X6)
& r2_nattra_1(X0,X1,X3,X4) )
=> r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(f533,plain,
spl14_61,
inference(avatar_split_clause,[],[f154,f531]) ).
fof(f154,plain,
! [X2,X3,X0,X1] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f529,plain,
spl14_60,
inference(avatar_split_clause,[],[f153,f527]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f507,plain,
spl14_59,
inference(avatar_split_clause,[],[f189,f505]) ).
fof(f189,plain,
! [X2,X3,X0,X1,X4] :
( k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4] :
( k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4] :
( k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X2,X3,X4] :
( ( m2_cat_1(X4,X1,X2)
& m2_cat_1(X3,X0,X1)
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> k2_isocat_1(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_isocat_1) ).
fof(f503,plain,
spl14_58,
inference(avatar_split_clause,[],[f188,f501]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X4] :
( m2_cat_1(k2_isocat_1(X0,X1,X2,X3,X4),X0,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k2_isocat_1(X0,X1,X2,X3,X4),X0,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2,X3,X4] :
( m2_cat_1(k2_isocat_1(X0,X1,X2,X3,X4),X0,X2)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( m2_cat_1(X4,X1,X2)
& m2_cat_1(X3,X0,X1)
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k2_isocat_1(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_isocat_1) ).
fof(f494,plain,
spl14_57,
inference(avatar_split_clause,[],[f186,f492]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( m2_cat_1(k12_isocat_2(X0,X1,X2,X3),X0,X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( m2_cat_1(k12_isocat_2(X0,X1,X2,X3),X0,X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( m2_cat_1(k12_isocat_2(X0,X1,X2,X3),X0,X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1,X2,X3] :
( ( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k12_isocat_2(X0,X1,X2,X3),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_isocat_2) ).
fof(f490,plain,
spl14_56,
inference(avatar_split_clause,[],[f185,f488]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( m2_cat_1(k11_isocat_2(X0,X1,X2,X3),X0,X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( m2_cat_1(k11_isocat_2(X0,X1,X2,X3),X0,X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( m2_cat_1(k11_isocat_2(X0,X1,X2,X3),X0,X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0,X1,X2,X3] :
( ( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
& l1_cat_1(X2)
& v2_cat_1(X2)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k11_isocat_2(X0,X1,X2,X3),X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_isocat_2) ).
fof(f474,plain,
spl14_55,
inference(avatar_split_clause,[],[f187,f472]) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( r2_nattra_1(X0,X1,X2,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( ( m2_cat_1(X3,X0,X1)
& m2_cat_1(X2,X0,X1)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> r2_nattra_1(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(f469,plain,
spl14_54,
inference(avatar_split_clause,[],[f172,f467]) ).
fof(f172,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ! [X2] :
( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
| ~ m2_cat_1(X2,X0,X1) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1)) ) ),
inference(pure_predicate_removal,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) ) ) ),
inference(pure_predicate_removal,[],[f48]) ).
fof(f48,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X2] :
( m2_cat_1(X2,X0,X1)
=> ( m2_relset_1(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_2(X2,u2_cat_1(X0),u2_cat_1(X1))
& v1_funct_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_cat_1) ).
fof(f465,plain,
( ~ spl14_1
| spl14_53
| ~ spl14_2
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f437,f429,f199,f463,f194]) ).
fof(f437,plain,
( ! [X0] :
( k16_cat_2(X0,sK0) = k8_isocat_2(X0,sK0)
| ~ v2_cat_1(sK0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) )
| ~ spl14_2
| ~ spl14_47 ),
inference(resolution,[],[f430,f201]) ).
fof(f461,plain,
spl14_52,
inference(avatar_split_clause,[],[f169,f459]) ).
fof(f169,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(f457,plain,
spl14_51,
inference(avatar_split_clause,[],[f168,f455]) ).
fof(f168,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(f453,plain,
spl14_50,
inference(avatar_split_clause,[],[f167,f451]) ).
fof(f167,plain,
! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k17_cat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_cat_2) ).
fof(f449,plain,
spl14_49,
inference(avatar_split_clause,[],[f166,f447]) ).
fof(f166,plain,
! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> m2_cat_1(k16_cat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k16_cat_2) ).
fof(f435,plain,
spl14_48,
inference(avatar_split_clause,[],[f165,f433]) ).
fof(f165,plain,
! [X0,X1] :
( k17_cat_2(X0,X1) = k9_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( k17_cat_2(X0,X1) = k9_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( k17_cat_2(X0,X1) = k9_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> k17_cat_2(X0,X1) = k9_isocat_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_isocat_2) ).
fof(f431,plain,
spl14_47,
inference(avatar_split_clause,[],[f164,f429]) ).
fof(f164,plain,
! [X0,X1] :
( k16_cat_2(X0,X1) = k8_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( k16_cat_2(X0,X1) = k8_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( k16_cat_2(X0,X1) = k8_isocat_2(X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> k16_cat_2(X0,X1) = k8_isocat_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_isocat_2) ).
fof(f427,plain,
spl14_46,
inference(avatar_split_clause,[],[f173,f425]) ).
fof(f173,plain,
! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( m2_cat_1(sK8(X0,X1),X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f92,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
=> m2_cat_1(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] : m2_cat_1(X2,X0,X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ? [X2] : m2_cat_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_cat_1) ).
fof(f423,plain,
spl14_45,
inference(avatar_split_clause,[],[f171,f421]) ).
fof(f171,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( l1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f419,plain,
spl14_44,
inference(avatar_split_clause,[],[f170,f417]) ).
fof(f170,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f406,plain,
spl14_43,
inference(avatar_split_clause,[],[f181,f404]) ).
fof(f181,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f402,plain,
spl14_42,
inference(avatar_split_clause,[],[f179,f400]) ).
fof(f179,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f398,plain,
( spl14_41
| ~ spl14_21
| ~ spl14_36
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f382,f362,f358,f287,f395]) ).
fof(f395,plain,
( spl14_41
<=> v1_relat_1(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f382,plain,
( v1_relat_1(sK13)
| ~ spl14_21
| ~ spl14_36
| ~ spl14_37 ),
inference(forward_demodulation,[],[f381,f363]) ).
fof(f381,plain,
( ! [X0,X1] : v1_relat_1(sK7(k2_zfmisc_1(X0,X1)))
| ~ spl14_21
| ~ spl14_36 ),
inference(resolution,[],[f359,f288]) ).
fof(f388,plain,
spl14_40,
inference(avatar_split_clause,[],[f184,f386]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f372,plain,
spl14_39,
inference(avatar_split_clause,[],[f183,f370]) ).
fof(f183,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f368,plain,
spl14_38,
inference(avatar_split_clause,[],[f182,f366]) ).
fof(f182,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f364,plain,
( spl14_37
| ~ spl14_13
| ~ spl14_15
| ~ spl14_20 ),
inference(avatar_split_clause,[],[f297,f283,f263,f254,f362]) ).
fof(f297,plain,
( ! [X0] : sK7(X0) = sK13
| ~ spl14_13
| ~ spl14_15
| ~ spl14_20 ),
inference(forward_demodulation,[],[f296,f295]) ).
fof(f295,plain,
( k1_xboole_0 = sK13
| ~ spl14_13
| ~ spl14_20 ),
inference(resolution,[],[f284,f256]) ).
fof(f296,plain,
( ! [X0] : k1_xboole_0 = sK7(X0)
| ~ spl14_15
| ~ spl14_20 ),
inference(resolution,[],[f284,f264]) ).
fof(f360,plain,
spl14_36,
inference(avatar_split_clause,[],[f180,f358]) ).
fof(f180,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f356,plain,
spl14_35,
inference(avatar_split_clause,[],[f163,f354]) ).
fof(f354,plain,
( spl14_35
<=> ! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f163,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( v1_relat_1(k5_relat_1(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k5_relat_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f352,plain,
spl14_34,
inference(avatar_split_clause,[],[f162,f350]) ).
fof(f350,plain,
( spl14_34
<=> ! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f162,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_zfmisc_1(X0,X1))
| v1_xboole_0(X1)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f348,plain,
spl14_33,
inference(avatar_split_clause,[],[f161,f346]) ).
fof(f161,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f340,plain,
spl14_32,
inference(avatar_split_clause,[],[f175,f338]) ).
fof(f175,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f336,plain,
spl14_31,
inference(avatar_split_clause,[],[f174,f334]) ).
fof(f174,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f332,plain,
spl14_30,
inference(avatar_split_clause,[],[f148,f330]) ).
fof(f148,plain,
! [X0] :
( m1_subset_1(sK5(X0),k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f58,f117]) ).
fof(f117,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( ~ v1_xboole_0(sK5(X0))
& m1_subset_1(sK5(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f327,plain,
( ~ spl14_28
| ~ spl14_29 ),
inference(avatar_split_clause,[],[f145,f324,f320]) ).
fof(f145,plain,
( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2))
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2))
& l1_cat_1(sK2)
& v2_cat_1(sK2)
& l1_cat_1(sK1)
& v2_cat_1(sK1)
& l1_cat_1(sK0)
& v2_cat_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f57,f115,f114,f113,f112,f111]) ).
fof(f111,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4))
| ~ r2_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(sK0)
& v2_cat_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,X1,X2,X3),k12_isocat_2(sK0,X1,X2,X4))
| ~ r2_nattra_1(sK0,X1,k11_isocat_2(sK0,X1,X2,X3),k11_isocat_2(sK0,X1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(sK1)
& v2_cat_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,X2,k12_isocat_2(sK0,sK1,X2,X3),k12_isocat_2(sK0,sK1,X2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,X2,X3),k11_isocat_2(sK0,sK1,X2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,X2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,X2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,sK2)) )
& l1_cat_1(sK2)
& v2_cat_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,X3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,X3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),X3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(X3,sK0,k11_cat_2(sK1,sK2)) )
=> ( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
& m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X4] :
( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,X4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,X4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,X4)
& m2_cat_1(X4,sK0,k11_cat_2(sK1,sK2)) )
=> ( ( ~ r2_nattra_1(sK0,sK2,k12_isocat_2(sK0,sK1,sK2,sK3),k12_isocat_2(sK0,sK1,sK2,sK4))
| ~ r2_nattra_1(sK0,sK1,k11_isocat_2(sK0,sK1,sK2,sK3),k11_isocat_2(sK0,sK1,sK2,sK4)) )
& r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4)
& m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& l1_cat_1(X1)
& v2_cat_1(X1) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( l1_cat_1(X1)
& v2_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(f318,plain,
spl14_27,
inference(avatar_split_clause,[],[f178,f316]) ).
fof(f178,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f30,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X2] : m2_relset_1(X2,X0,X1)
=> m2_relset_1(sK10(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f30,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f314,plain,
spl14_26,
inference(avatar_split_clause,[],[f177,f312]) ).
fof(f177,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] : m1_relset_1(sK9(X0,X1),X0,X1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f10,f125]) ).
fof(f125,plain,
! [X0,X1] :
( ? [X2] : m1_relset_1(X2,X0,X1)
=> m1_relset_1(sK9(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f10,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f310,plain,
spl14_25,
inference(avatar_split_clause,[],[f160,f308]) ).
fof(f308,plain,
( spl14_25
<=> ! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f160,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f306,plain,
( spl14_24
| ~ spl14_13
| ~ spl14_20 ),
inference(avatar_split_clause,[],[f295,f283,f254,f303]) ).
fof(f301,plain,
spl14_23,
inference(avatar_split_clause,[],[f159,f299]) ).
fof(f159,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f293,plain,
spl14_22,
inference(avatar_split_clause,[],[f176,f291]) ).
fof(f291,plain,
( spl14_22
<=> ! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f176,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f289,plain,
spl14_21,
inference(avatar_split_clause,[],[f156,f287]) ).
fof(f156,plain,
! [X0] : m1_subset_1(sK7(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f23,f121]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ( v1_xboole_0(sK7(X0))
& m1_subset_1(sK7(X0),k1_zfmisc_1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f285,plain,
spl14_20,
inference(avatar_split_clause,[],[f151,f283]) ).
fof(f151,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f281,plain,
spl14_19,
inference(avatar_split_clause,[],[f150,f279]) ).
fof(f279,plain,
( spl14_19
<=> ! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f150,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ v1_xboole_0(u2_cat_1(X0))
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( l1_cat_1(X0)
=> ~ v1_xboole_0(u2_cat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_cat_1) ).
fof(f277,plain,
spl14_18,
inference(avatar_split_clause,[],[f149,f275]) ).
fof(f275,plain,
( spl14_18
<=> ! [X0] :
( ~ v1_xboole_0(sK5(X0))
| v1_xboole_0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f149,plain,
! [X0] :
( ~ v1_xboole_0(sK5(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f273,plain,
spl14_17,
inference(avatar_split_clause,[],[f155,f271]) ).
fof(f155,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] : m1_subset_1(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f11,f119]) ).
fof(f119,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f11,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f269,plain,
spl14_16,
inference(avatar_split_clause,[],[f158,f267]) ).
fof(f158,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f265,plain,
spl14_15,
inference(avatar_split_clause,[],[f157,f263]) ).
fof(f157,plain,
! [X0] : v1_xboole_0(sK7(X0)),
inference(cnf_transformation,[],[f122]) ).
fof(f261,plain,
spl14_14,
inference(avatar_split_clause,[],[f147,f259]) ).
fof(f259,plain,
( spl14_14
<=> ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f147,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f257,plain,
spl14_13,
inference(avatar_split_clause,[],[f192,f254]) ).
fof(f192,plain,
v1_xboole_0(sK13),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
v1_xboole_0(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f22,f134]) ).
fof(f134,plain,
( ? [X0] : v1_xboole_0(X0)
=> v1_xboole_0(sK13) ),
introduced(choice_axiom,[]) ).
fof(f22,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f252,plain,
spl14_12,
inference(avatar_split_clause,[],[f191,f249]) ).
fof(f191,plain,
l1_cat_1(sK12),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
l1_cat_1(sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f40,f132]) ).
fof(f132,plain,
( ? [X0] : l1_cat_1(X0)
=> l1_cat_1(sK12) ),
introduced(choice_axiom,[]) ).
fof(f40,axiom,
? [X0] : l1_cat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_cat_1) ).
fof(f247,plain,
~ spl14_11,
inference(avatar_split_clause,[],[f190,f244]) ).
fof(f244,plain,
( spl14_11
<=> v1_xboole_0(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f190,plain,
~ v1_xboole_0(sK11),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
~ v1_xboole_0(sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f24,f130]) ).
fof(f130,plain,
( ? [X0] : ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(sK11) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f242,plain,
spl14_10,
inference(avatar_split_clause,[],[f146,f239]) ).
fof(f146,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f237,plain,
spl14_9,
inference(avatar_split_clause,[],[f144,f234]) ).
fof(f144,plain,
r2_nattra_1(sK0,k11_cat_2(sK1,sK2),sK3,sK4),
inference(cnf_transformation,[],[f116]) ).
fof(f232,plain,
spl14_8,
inference(avatar_split_clause,[],[f143,f229]) ).
fof(f143,plain,
m2_cat_1(sK4,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f116]) ).
fof(f227,plain,
spl14_7,
inference(avatar_split_clause,[],[f142,f224]) ).
fof(f142,plain,
m2_cat_1(sK3,sK0,k11_cat_2(sK1,sK2)),
inference(cnf_transformation,[],[f116]) ).
fof(f222,plain,
spl14_6,
inference(avatar_split_clause,[],[f141,f219]) ).
fof(f141,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f116]) ).
fof(f217,plain,
spl14_5,
inference(avatar_split_clause,[],[f140,f214]) ).
fof(f140,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f116]) ).
fof(f212,plain,
spl14_4,
inference(avatar_split_clause,[],[f139,f209]) ).
fof(f139,plain,
l1_cat_1(sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f207,plain,
spl14_3,
inference(avatar_split_clause,[],[f138,f204]) ).
fof(f138,plain,
v2_cat_1(sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f202,plain,
spl14_2,
inference(avatar_split_clause,[],[f137,f199]) ).
fof(f137,plain,
l1_cat_1(sK0),
inference(cnf_transformation,[],[f116]) ).
fof(f197,plain,
spl14_1,
inference(avatar_split_clause,[],[f136,f194]) ).
fof(f136,plain,
v2_cat_1(sK0),
inference(cnf_transformation,[],[f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 18:11:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (9546)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (9553)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)
% 0.12/0.36 % (9549)WARNING: value z3 for option sas not known
% 0.12/0.36 % (9548)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (9551)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)
% 0.12/0.36 % (9550)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (9552)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)
% 0.12/0.36 % (9549)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)
% 0.12/0.36 % (9547)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.38 TRYING [3]
% 0.18/0.38 TRYING [1]
% 0.18/0.39 TRYING [2]
% 0.18/0.45 TRYING [3]
% 0.18/0.46 TRYING [4]
% 3.03/0.78 TRYING [4]
% 6.45/1.32 TRYING [5]
% 7.71/1.46 TRYING [1]
% 7.71/1.46 TRYING [2]
% 7.71/1.46 TRYING [3]
% 7.92/1.51 TRYING [4]
% 11.47/2.03 % (9551)First to succeed.
% 13.27/2.25 % (9551)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9546"
% 13.27/2.25 % (9551)Refutation found. Thanks to Tanya!
% 13.27/2.25 % SZS status Theorem for theBenchmark
% 13.27/2.25 % SZS output start Proof for theBenchmark
% See solution above
% 13.46/2.30 % (9551)------------------------------
% 13.46/2.30 % (9551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 13.46/2.30 % (9551)Termination reason: Refutation
% 13.46/2.30
% 13.46/2.30 % (9551)Memory used [KB]: 21453
% 13.46/2.30 % (9551)Time elapsed: 1.879 s
% 13.46/2.30 % (9551)Instructions burned: 3925 (million)
% 13.46/2.30 % (9546)Success in time 1.941 s
%------------------------------------------------------------------------------